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"start_line": 5 + } + }, + "48": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 2 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 25 + } + }, + "hints": [], + "inst": { + "end_col": 24, + "end_line": 5, + "input_file": { + "filename": "cairo_programs/assert_le_felt_hint.cairo" + }, + "start_col": 23, + "start_line": 5 + } + }, + "50": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 3 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 25 + } + }, + "hints": [], + "inst": { + "end_col": 25, + "end_line": 5, + "input_file": { + "filename": "cairo_programs/assert_le_felt_hint.cairo" + }, + "start_col": 5, + "start_line": 5 + } + }, + "52": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 20 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 26 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 6, + "input_file": { + "filename": "cairo_programs/assert_le_felt_hint.cairo" + }, + "start_col": 5, + "start_line": 6 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 2 + } + } + } + ], + "10": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "24": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, 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"end_col": 14, + "end_line": 67, + "input_file": { + "filename": "cairo_programs/assert_le_felt_old.cairo" + }, + "start_col": 5, + "start_line": 67 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 0, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 1 + } + } + } + ], + "18": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.split_felt" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert ids.MAX_HIGH < 2**128 and ids.MAX_LOW < 2**128\nassert PRIME - 1 == ids.MAX_HIGH * 2**128 + ids.MAX_LOW\nassert_integer(ids.value)\nids.low = ids.value & ((1 << 128) - 1)\nids.high = ids.value >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.split_felt.high": 15, + "starkware.cairo.common.math.split_felt.low": 14, + "starkware.cairo.common.math.split_felt.range_check_ptr": 16, + "starkware.cairo.common.math.split_felt.value": 12 + } + } + } + ], + "47": [ + { + "accessible_scopes": [ + "__main__", + "__main__.assert_le_felt_v_0_6" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\nassert (ids.a % PRIME) <= (ids.b % PRIME), \\\n f'a = {ids.a % PRIME} is not less than or equal to b = {ids.b % PRIME}.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "__main__.assert_le_felt_v_0_6.a": 25, + "__main__.assert_le_felt_v_0_6.b": 26, + 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"__main__.main.range_check_ptr": 155 + } + }, + "hints": [], + "inst": { + "end_col": 66, + "end_line": 18, + "input_file": { + "filename": "cairo_programs/blake2s_hello_world_hash.cairo" + }, + "start_col": 5, + "start_line": 18 + } + }, + "320": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 0 + }, + "reference_ids": { + "__main__.main.__temp53": 149, + "__main__.main.__temp54": 150, + "__main__.main.__temp55": 151, + "__main__.main.bitwise_ptr": 147, + "__main__.main.blake2s_ptr": 156, + "__main__.main.blake2s_ptr_start": 153, + "__main__.main.inputs": 148, + "__main__.main.output": 157, + "__main__.main.range_check_ptr": 155 + } + }, + "hints": [], + "inst": { + "end_col": 59, + "end_line": 16, + "input_file": { + "filename": "cairo_programs/blake2s_hello_world_hash.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 8, + "input_file": { + "filename": 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"end_col": 56, + "end_line": 8, + "input_file": { + "filename": "cairo_programs/blake2s_hello_world_hash.cairo" + }, + "parent_location": [ + { + "end_col": 56, + "end_line": 8, + "input_file": { + "filename": "cairo_programs/blake2s_hello_world_hash.cairo" + }, + "parent_location": [ + { + "end_col": 15, + "end_line": 19, + "input_file": { + "filename": "cairo_programs/blake2s_hello_world_hash.cairo" + }, + "start_col": 5, + "start_line": 19 + }, + "While trying to retrieve the implicit argument 'bitwise_ptr' in:" + ], + "start_col": 28, + "start_line": 8 + }, + "While expanding the reference 'bitwise_ptr' in:" + ], + "start_col": 28, + "start_line": 8 + } + }, + "322": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 2 + }, + "reference_ids": { + "__main__.main.__temp53": 149, + "__main__.main.__temp54": 150, + "__main__.main.__temp55": 151, + "__main__.main.bitwise_ptr": 147, + "__main__.main.blake2s_ptr": 156, + "__main__.main.blake2s_ptr_start": 153, + "__main__.main.inputs": 148, + "__main__.main.output": 157, + "__main__.main.range_check_ptr": 155 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 19, + "input_file": { + "filename": "cairo_programs/blake2s_hello_world_hash.cairo" + }, + "start_col": 5, + "start_line": 19 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "3": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 0, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 1 + } + } + } + ], + "12": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 7, + "starkware.cairo.common.math.assert_le_felt.b": 8, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 9 + } + } + } + ], + "22": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 10, + "starkware.cairo.common.math.assert_le_felt.__temp1": 11, + "starkware.cairo.common.math.assert_le_felt.__temp2": 12, + "starkware.cairo.common.math.assert_le_felt.__temp3": 14, + "starkware.cairo.common.math.assert_le_felt.__temp4": 15, + "starkware.cairo.common.math.assert_le_felt.__temp5": 16, + "starkware.cairo.common.math.assert_le_felt.a": 7, + "starkware.cairo.common.math.assert_le_felt.arc_long": 17, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 20, + "starkware.cairo.common.math.assert_le_felt.arc_short": 13, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 19, + "starkware.cairo.common.math.assert_le_felt.b": 8, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 18 + } + } + } + ], + "36": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 10, + "starkware.cairo.common.math.assert_le_felt.__temp1": 11, + "starkware.cairo.common.math.assert_le_felt.__temp2": 12, + "starkware.cairo.common.math.assert_le_felt.__temp3": 14, + "starkware.cairo.common.math.assert_le_felt.__temp4": 15, + "starkware.cairo.common.math.assert_le_felt.__temp5": 16, + "starkware.cairo.common.math.assert_le_felt.a": 7, + "starkware.cairo.common.math.assert_le_felt.arc_long": 17, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 20, + "starkware.cairo.common.math.assert_le_felt.arc_short": 13, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 19, + "starkware.cairo.common.math.assert_le_felt.b": 8, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 18 + } + } + } + ], + "48": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 10, + "starkware.cairo.common.math.assert_le_felt.__temp1": 11, + "starkware.cairo.common.math.assert_le_felt.__temp2": 12, + "starkware.cairo.common.math.assert_le_felt.__temp3": 14, + "starkware.cairo.common.math.assert_le_felt.__temp4": 15, + "starkware.cairo.common.math.assert_le_felt.__temp5": 16, + "starkware.cairo.common.math.assert_le_felt.a": 7, + "starkware.cairo.common.math.assert_le_felt.arc_long": 17, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 20, + "starkware.cairo.common.math.assert_le_felt.arc_short": 13, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 19, + "starkware.cairo.common.math.assert_le_felt.b": 8, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 18 + } + } + } + ], + "57": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 33, + "starkware.cairo.common.math.unsigned_div_rem.q": 36, + "starkware.cairo.common.math.unsigned_div_rem.r": 35, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 37, + "starkware.cairo.common.math.unsigned_div_rem.value": 32 + } + } + } + ], + "72": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 42, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 43 + } + } + } + ], + "82": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 42, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 43 + } + } + } + ], + "113": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_enter_scope({'n': ids.len})", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.dst": 53, + "starkware.cairo.common.memcpy.memcpy.len": 55, + "starkware.cairo.common.memcpy.memcpy.src": 54 + } + } + } + ], + "121": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "n -= 1\nids.continue_copying = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp21": 58, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 59, + "starkware.cairo.common.memcpy.memcpy.dst": 53, + "starkware.cairo.common.memcpy.memcpy.frame": 57, + "starkware.cairo.common.memcpy.memcpy.len": 55, + "starkware.cairo.common.memcpy.memcpy.next_frame": 60, + "starkware.cairo.common.memcpy.memcpy.src": 54 + } + } + } + ], + "124": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp21": 58, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 59, + "starkware.cairo.common.memcpy.memcpy.dst": 53, + "starkware.cairo.common.memcpy.memcpy.frame": 57, + "starkware.cairo.common.memcpy.memcpy.len": 55, + "starkware.cairo.common.memcpy.memcpy.next_frame": 60, + "starkware.cairo.common.memcpy.memcpy.src": 54 + } + } + } + ], + "128": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_enter_scope({'n': ids.n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.dst": 61, + "starkware.cairo.common.memset.memset.n": 63, + "starkware.cairo.common.memset.memset.value": 62 + } + } + } + ], + "132": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "n -= 1\nids.continue_loop = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 66, + "starkware.cairo.common.memset.memset.dst": 61, + "starkware.cairo.common.memset.memset.frame": 65, + "starkware.cairo.common.memset.memset.n": 63, + "starkware.cairo.common.memset.memset.next_frame": 67, + "starkware.cairo.common.memset.memset.value": 62 + } + } + } + ], + "135": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 66, + "starkware.cairo.common.memset.memset.dst": 61, + "starkware.cairo.common.memset.memset.frame": 65, + "starkware.cairo.common.memset.memset.n": 63, + "starkware.cairo.common.memset.memset.next_frame": 67, + "starkware.cairo.common.memset.memset.value": 62 + } + } + } + ], + "238": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 15, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp48": 122, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp49": 123, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.blake2s_ptr": 124, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.counter": 113, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.data": 111, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.is_last_block": 117, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.n_bytes": 112, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.output": 125, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.range_check_ptr": 118 + } + } + } + ], + "287": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 20, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp50": 139, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp51": 141, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp52": 142, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.blake2s_ptr": 143, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.counter": 132, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.data": 130, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_bytes": 131, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_felts": 137, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.output": 144, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.range_check_ptr": 138 + } + } + } + ] + }, + "identifiers": { + "__main__.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "__main__.alloc": { + "destination": "starkware.cairo.common.alloc.alloc", + "type": "alias" + }, + "__main__.blake2s": { + "destination": "starkware.cairo.common.cairo_blake2s.blake2s.blake2s", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 293, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "offset": 1 + }, + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 1 + }, + "__main__.main.__temp53": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp53", + "references": [ + { + "ap_tracking_data": { + "group": 21, + "offset": 5 + }, + "pc": 299, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp54": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp54", + "references": [ + { + "ap_tracking_data": { + "group": 21, + "offset": 6 + }, + "pc": 302, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + 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"reference" + }, + "__main__.main.blake2s_ptr_start": { + "cairo_type": "felt*", + "full_name": "__main__.main.blake2s_ptr_start", + "references": [ + { + "ap_tracking_data": { + "group": 21, + "offset": 10 + }, + "pc": 308, + "value": "[cast(ap + (-1), felt**)]" + }, + { + "ap_tracking_data": { + "group": 21, + "offset": 10 + }, + "pc": 309, + "value": "[cast(fp, felt**)]" + } + ], + "type": "reference" + }, + "__main__.main.inputs": { + "cairo_type": "felt*", + "full_name": "__main__.main.inputs", + "references": [ + { + "ap_tracking_data": { + "group": 21, + "offset": 4 + }, + "pc": 297, + "value": "[cast(ap + (-1), felt**)]" + } + ], + "type": "reference" + }, + "__main__.main.output": { + "cairo_type": "starkware.cairo.common.uint256.Uint256", + "full_name": "__main__.main.output", + "references": [ + { + "ap_tracking_data": { + "group": 22, + "offset": 0 + }, + "pc": 316, + "value": "[cast(ap + (-2), starkware.cairo.common.uint256.Uint256*)]" + } + ], + "type": "reference" + }, + 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"type": "const", + "value": 0 + }, + "starkware.cairo.common.bitwise.ALL_ONES": { + "type": "const", + "value": -106710729501573572985208420194530329073740042555888586719234 + }, + "starkware.cairo.common.bitwise.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "starkware.cairo.common.bool.FALSE": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.bool.TRUE": { + "type": "const", + "value": 1 + }, + "starkware.cairo.common.cairo_blake2s.blake2s.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "starkware.cairo.common.cairo_blake2s.blake2s.INPUT_BLOCK_BYTES": { + "type": "const", + "value": 64 + }, + "starkware.cairo.common.cairo_blake2s.blake2s.INPUT_BLOCK_FELTS": { + "type": "const", + "value": 16 + }, + "starkware.cairo.common.cairo_blake2s.blake2s.INSTANCE_SIZE": { + "type": "const", + "value": 34 + }, + "starkware.cairo.common.cairo_blake2s.blake2s.N_PACKED_INSTANCES": { + "destination": "starkware.cairo.common.cairo_blake2s.packed_blake2s.N_PACKED_INSTANCES", + "type": "alias" + }, + "starkware.cairo.common.cairo_blake2s.blake2s.STATE_SIZE_FELTS": { + "type": "const", + "value": 8 + }, + "starkware.cairo.common.cairo_blake2s.blake2s.Uint256": { + "destination": "starkware.cairo.common.uint256.Uint256", + "type": "alias" + }, + "starkware.cairo.common.cairo_blake2s.blake2s.alloc": { + "destination": "starkware.cairo.common.alloc.alloc", + "type": "alias" + }, + "starkware.cairo.common.cairo_blake2s.blake2s.assert_nn_le": { + "destination": "starkware.cairo.common.math.assert_nn_le", + "type": "alias" + }, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s": { + "decorators": [], + "pc": 136, + "type": "function" + }, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s.Args": { + "full_name": "starkware.cairo.common.cairo_blake2s.blake2s.blake2s.Args", + "members": { + "data": 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"__main__.main.bitwise_ptr": 622, + "__main__.main.range_check_ptr": 621 + } + }, + "hints": [], + "inst": { + "end_col": 18, + "end_line": 72, + "input_file": { + "filename": "cairo_programs/blake2s_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 72 + } + }, + "1289": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 219, + "offset": 0 + }, + "reference_ids": { + "__main__.main.bitwise_ptr": 624, + "__main__.main.range_check_ptr": 623 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 74, + "input_file": { + "filename": "cairo_programs/blake2s_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 74 + } + } + } + }, + "hints": { + "1": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "340": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 220, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 221 + } + } + } + ], + "349": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.split_felt" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert ids.MAX_HIGH < 2**128 and ids.MAX_LOW < 2**128\nassert PRIME - 1 == ids.MAX_HIGH * 2**128 + ids.MAX_LOW\nassert_integer(ids.value)\nids.low = ids.value & ((1 << 128) - 1)\nids.high = ids.value >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.split_felt.high": 230, + "starkware.cairo.common.math.split_felt.low": 229, + "starkware.cairo.common.math.split_felt.range_check_ptr": 231, + "starkware.cairo.common.math.split_felt.value": 227 + } + } + } + ], + "378": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 240, + "starkware.cairo.common.math.assert_le_felt.b": 241, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 242 + } + } + } + ], + "388": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp75": 243, + "starkware.cairo.common.math.assert_le_felt.__temp76": 244, + "starkware.cairo.common.math.assert_le_felt.__temp77": 245, + "starkware.cairo.common.math.assert_le_felt.__temp78": 247, + "starkware.cairo.common.math.assert_le_felt.__temp79": 248, + "starkware.cairo.common.math.assert_le_felt.__temp80": 249, + "starkware.cairo.common.math.assert_le_felt.a": 240, + "starkware.cairo.common.math.assert_le_felt.arc_long": 250, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 253, + "starkware.cairo.common.math.assert_le_felt.arc_short": 246, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 252, + "starkware.cairo.common.math.assert_le_felt.b": 241, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 251 + } + } + } + ], + "402": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp75": 243, + "starkware.cairo.common.math.assert_le_felt.__temp76": 244, + "starkware.cairo.common.math.assert_le_felt.__temp77": 245, + "starkware.cairo.common.math.assert_le_felt.__temp78": 247, + "starkware.cairo.common.math.assert_le_felt.__temp79": 248, + "starkware.cairo.common.math.assert_le_felt.__temp80": 249, + "starkware.cairo.common.math.assert_le_felt.a": 240, + "starkware.cairo.common.math.assert_le_felt.arc_long": 250, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 253, + "starkware.cairo.common.math.assert_le_felt.arc_short": 246, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 252, + "starkware.cairo.common.math.assert_le_felt.b": 241, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 251 + } + } + } + ], + "414": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp75": 243, + "starkware.cairo.common.math.assert_le_felt.__temp76": 244, + "starkware.cairo.common.math.assert_le_felt.__temp77": 245, + "starkware.cairo.common.math.assert_le_felt.__temp78": 247, + "starkware.cairo.common.math.assert_le_felt.__temp79": 248, + "starkware.cairo.common.math.assert_le_felt.__temp80": 249, + "starkware.cairo.common.math.assert_le_felt.a": 240, + "starkware.cairo.common.math.assert_le_felt.arc_long": 250, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 253, + "starkware.cairo.common.math.assert_le_felt.arc_short": 246, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 252, + "starkware.cairo.common.math.assert_le_felt.b": 241, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 251 + } + } + } + ], + "423": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 266, + "starkware.cairo.common.math.unsigned_div_rem.q": 269, + "starkware.cairo.common.math.unsigned_div_rem.r": 268, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 270, + "starkware.cairo.common.math.unsigned_div_rem.value": 265 + } + } + } + ], + "438": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 275, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 276 + } + } + } + ], + "448": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 275, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 276 + } + } + } + ], + "479": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_enter_scope({'n': ids.len})", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.dst": 286, + "starkware.cairo.common.memcpy.memcpy.len": 288, + "starkware.cairo.common.memcpy.memcpy.src": 287 + } + } + } + ], + "487": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "n -= 1\nids.continue_copying = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp96": 291, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 292, + "starkware.cairo.common.memcpy.memcpy.dst": 286, + "starkware.cairo.common.memcpy.memcpy.frame": 290, + "starkware.cairo.common.memcpy.memcpy.len": 288, + "starkware.cairo.common.memcpy.memcpy.next_frame": 293, + "starkware.cairo.common.memcpy.memcpy.src": 287 + } + } + } + ], + "490": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp96": 291, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 292, + "starkware.cairo.common.memcpy.memcpy.dst": 286, + "starkware.cairo.common.memcpy.memcpy.frame": 290, + "starkware.cairo.common.memcpy.memcpy.len": 288, + "starkware.cairo.common.memcpy.memcpy.next_frame": 293, + "starkware.cairo.common.memcpy.memcpy.src": 287 + } + } + } + ], + "494": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_enter_scope({'n': ids.n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.dst": 294, + "starkware.cairo.common.memset.memset.n": 296, + "starkware.cairo.common.memset.memset.value": 295 + } + } + } + ], + "498": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "n -= 1\nids.continue_loop = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 299, + "starkware.cairo.common.memset.memset.dst": 294, + "starkware.cairo.common.memset.memset.frame": 298, + "starkware.cairo.common.memset.memset.n": 296, + "starkware.cairo.common.memset.memset.next_frame": 300, + "starkware.cairo.common.memset.memset.value": 295 + } + } + } + ], + "501": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 299, + "starkware.cairo.common.memset.memset.dst": 294, + "starkware.cairo.common.memset.memset.frame": 298, + "starkware.cairo.common.memset.memset.n": 296, + "starkware.cairo.common.memset.memset.next_frame": 300, + "starkware.cairo.common.memset.memset.value": 295 + } + } + } + ], + "604": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 21, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp123": 355, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp124": 356, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.blake2s_ptr": 357, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.counter": 346, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.data": 344, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.is_last_block": 350, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.n_bytes": 345, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.output": 358, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.range_check_ptr": 351 + } + } + } + ], + "653": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 26, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp125": 372, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp126": 374, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp127": 375, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.blake2s_ptr": 376, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.counter": 365, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.data": 363, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_bytes": 364, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_felts": 370, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.output": 377, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.range_check_ptr": 371 + } + } + } + ], + "673": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s" + ], + "code": "# Add dummy pairs of input and output.\nfrom starkware.cairo.common.cairo_blake2s.blake2s_utils import IV, blake2s_compress\n\n_n_packed_instances = int(ids.N_PACKED_INSTANCES)\nassert 0 <= _n_packed_instances < 20\n_blake2s_input_chunk_size_felts = int(ids.INPUT_BLOCK_FELTS)\nassert 0 <= _blake2s_input_chunk_size_felts < 100\n\nmessage = [0] * _blake2s_input_chunk_size_felts\nmodified_iv = [IV[0] ^ 0x01010020] + IV[1:]\noutput = blake2s_compress(\n message=message,\n h=modified_iv,\n t0=0,\n t1=0,\n f0=0xffffffff,\n f1=0,\n)\npadding = (modified_iv + message + [0, 0xffffffff] + output) * (_n_packed_instances - 1)\nsegments.write_arg(ids.blake2s_ptr_end, padding)", + "flow_tracking_data": { + "ap_tracking": { + "group": 28, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.__fp__": 383, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.__temp128": 385, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.bitwise_ptr": 382, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.blake2s_ptr_end": 380, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.blake2s_ptr_start": 379, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.n": 386, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.range_check_ptr": 381, + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s.sigma": 384 + } + } + } + ], + "972": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256" + ], + "code": "B = 32\nMASK = 2 ** 32 - 1\nsegments.write_arg(ids.data, [(ids.low >> (B * i)) & MASK for i in range(4)])\nsegments.write_arg(ids.data + 4, [(ids.high >> (B * i)) & MASK for i in range(4)])", + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256.data": 461, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256.high": 462, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256.low": 463, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256.num": 460 + } + } + } + ], + "1043": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256_bigend" + ], + "code": "B = 32\nMASK = 2 ** 32 - 1\nsegments.write_arg(ids.data, [(ids.high >> (B * (3 - i))) & MASK for i in range(4)])\nsegments.write_arg(ids.data + 4, [(ids.low >> (B * (3 - i))) & MASK for i in range(4)])", + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 24 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256_bigend.__temp172": 487, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256_bigend.__temp173": 488, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256_bigend.__temp174": 489, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_add_uint256_bigend.__temp175": 490, + 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"end_col": 15, + "end_line": 28, + "input_file": { + "filename": "cairo_programs/cairo_finalize_keccak.cairo" + }, + "start_col": 5, + "start_line": 28 + } + } + } + }, + "hints": { + "6": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "15": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 9, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 10 + } + } + } + ], + "33": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 22, + "starkware.cairo.common.math.unsigned_div_rem.q": 25, + "starkware.cairo.common.math.unsigned_div_rem.r": 24, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 26, + "starkware.cairo.common.math.unsigned_div_rem.value": 21 + } + } + } + ], + "59": [ + { + "accessible_scopes": [ + "starkware.cairo.common.pow", + "starkware.cairo.common.pow.pow" + ], + "code": "ids.locs.bit = (ids.prev_locs.exp % PRIME) & 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.pow.pow.base": 31, + "starkware.cairo.common.pow.pow.exp": 32, + "starkware.cairo.common.pow.pow.initial_locs": 34, + "starkware.cairo.common.pow.pow.locs": 36, + "starkware.cairo.common.pow.pow.prev_locs": 35, + "starkware.cairo.common.pow.pow.range_check_ptr": 33 + } + } + } + ], + "995": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_enter_scope({'n': ids.len})", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.dst": 581, + "starkware.cairo.common.memcpy.memcpy.len": 583, + "starkware.cairo.common.memcpy.memcpy.src": 582 + } + } + } + ], + "1003": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "n -= 1\nids.continue_copying = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp341": 586, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 587, + "starkware.cairo.common.memcpy.memcpy.dst": 581, + "starkware.cairo.common.memcpy.memcpy.frame": 585, + "starkware.cairo.common.memcpy.memcpy.len": 583, + "starkware.cairo.common.memcpy.memcpy.next_frame": 588, + "starkware.cairo.common.memcpy.memcpy.src": 582 + } + } + } + ], + "1006": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp341": 586, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 587, + "starkware.cairo.common.memcpy.memcpy.dst": 581, + "starkware.cairo.common.memcpy.memcpy.frame": 585, + "starkware.cairo.common.memcpy.memcpy.len": 583, + "starkware.cairo.common.memcpy.memcpy.next_frame": 588, + "starkware.cairo.common.memcpy.memcpy.src": 582 + } + } + } + ], + "1010": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_enter_scope({'n': ids.n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.dst": 589, + "starkware.cairo.common.memset.memset.n": 591, + "starkware.cairo.common.memset.memset.value": 590 + } + } + } + ], + "1014": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "n -= 1\nids.continue_loop = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 594, + "starkware.cairo.common.memset.memset.dst": 589, + "starkware.cairo.common.memset.memset.frame": 593, + "starkware.cairo.common.memset.memset.n": 591, + "starkware.cairo.common.memset.memset.next_frame": 595, + "starkware.cairo.common.memset.memset.value": 590 + } + } + } + ], + "1017": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 594, + "starkware.cairo.common.memset.memset.dst": 589, + "starkware.cairo.common.memset.memset.frame": 593, + "starkware.cairo.common.memset.memset.n": 591, + "starkware.cairo.common.memset.memset.next_frame": 595, + "starkware.cairo.common.memset.memset.value": 590 + } + } + } + ], + "1106": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_keccak.keccak", + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs" + ], + "code": "memory[ap] = to_felt_or_relocatable(ids.n_bytes < ids.BYTES_IN_WORD)", + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs.bitwise_ptr": 652, + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs.inputs": 654, + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs.keccak_ptr": 653, + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs.n_bytes": 655, + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs.range_check_ptr": 651, + "starkware.cairo.common.cairo_keccak.keccak._copy_inputs.state": 656 + } + } + } + ], + "1223": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_keccak.keccak", + "starkware.cairo.common.cairo_keccak.keccak._block_permutation" + ], + "code": "from starkware.cairo.common.keccak_utils.keccak_utils import keccak_func\n_keccak_state_size_felts = int(ids.KECCAK_STATE_SIZE_FELTS)\nassert 0 <= _keccak_state_size_felts < 100\n\noutput_values = keccak_func(memory.get_range(\n ids.keccak_ptr - _keccak_state_size_felts, _keccak_state_size_felts))\nsegments.write_arg(ids.keccak_ptr, output_values)", + "flow_tracking_data": { + "ap_tracking": { + "group": 29, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_keccak.keccak._block_permutation.keccak_ptr": 714 + } + } + } + ], + "1226": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_keccak.keccak", + "starkware.cairo.common.cairo_keccak.keccak._keccak" + ], + "code": "memory[ap] = to_felt_or_relocatable(ids.n_bytes >= ids.KECCAK_FULL_RATE_IN_BYTES)", + "flow_tracking_data": { + "ap_tracking": { + "group": 30, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_keccak.keccak._keccak.bitwise_ptr": 720, + "starkware.cairo.common.cairo_keccak.keccak._keccak.inputs": 716, + "starkware.cairo.common.cairo_keccak.keccak._keccak.keccak_ptr": 721, + "starkware.cairo.common.cairo_keccak.keccak._keccak.n_bytes": 717, + "starkware.cairo.common.cairo_keccak.keccak._keccak.range_check_ptr": 719, + "starkware.cairo.common.cairo_keccak.keccak._keccak.state": 718 + } + } + } + ], + "1286": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_keccak.keccak", + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak" + ], + "code": "# Add dummy pairs of input and output.\n_keccak_state_size_felts = int(ids.KECCAK_STATE_SIZE_FELTS)\n_block_size = int(ids.BLOCK_SIZE)\nassert 0 <= _keccak_state_size_felts < 100\nassert 0 <= _block_size < 10\ninp = [0] * _keccak_state_size_felts\npadding = (inp + keccak_func(inp)) * _block_size\nsegments.write_arg(ids.keccak_ptr_end, padding)", + "flow_tracking_data": { + "ap_tracking": { + "group": 34, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.__temp362": 739, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.bitwise_ptr": 738, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.keccak_ptr_end": 736, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.keccak_ptr_start": 735, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.n": 740, + "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak.range_check_ptr": 737 + } + } + } + ] + }, + "identifiers": { + "__main__.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "__main__.Uint256": { + "destination": "starkware.cairo.common.uint256.Uint256", + "type": "alias" + }, + "__main__.alloc": { + "destination": "starkware.cairo.common.alloc.alloc", + "type": "alias" + }, + "__main__.cairo_keccak": { + "destination": "starkware.cairo.common.cairo_keccak.keccak.cairo_keccak", + "type": "alias" + }, + "__main__.finalize_keccak": { + "destination": "starkware.cairo.common.cairo_keccak.keccak.finalize_keccak", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 1398, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "offset": 1 + }, + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 1 + }, + "__main__.main.__temp381": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp381", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 8 + }, + "pc": 1407, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp382": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp382", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 9 + }, + "pc": 1410, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "full_name": "__main__.main.bitwise_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 0 + }, + "pc": 1398, + "value": "[cast(fp + (-3), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 39, + "offset": 0 + }, + "pc": 1418, + "value": "[cast(ap + (-4), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 40, + "offset": 0 + }, + "pc": 1428, + "value": "[cast(ap + (-1), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 39, + "offset": 0 + }, + "pc": 1419, + "value": "[cast(ap + (-4), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 40, + "offset": 0 + }, + "pc": 1429, + "value": "[cast(ap + (-1), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + } + ], + "type": "reference" + }, + "__main__.main.inputs": { + "cairo_type": "felt*", + "full_name": "__main__.main.inputs", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 7 + }, + "pc": 1405, + "value": "[cast(ap + (-1), felt**)]" + } + ], + "type": "reference" + }, + "__main__.main.keccak_ptr": { + "cairo_type": "felt*", + "full_name": "__main__.main.keccak_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 4 + }, + "pc": 1402, + "value": "[cast(ap + (-1), felt**)]" + }, + { + "ap_tracking_data": { + "group": 39, + "offset": 0 + }, + "pc": 1419, + "value": "[cast(ap + (-3), felt**)]" + } + ], + "type": "reference" + }, + "__main__.main.keccak_ptr_start": { + "cairo_type": "felt*", + "full_name": "__main__.main.keccak_ptr_start", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 4 + }, + "pc": 1402, + "value": "[cast(ap + (-1), felt**)]" + }, + { + "ap_tracking_data": { + "group": 38, + "offset": 4 + }, + "pc": 1403, + "value": "[cast(fp, felt**)]" + } + ], + "type": "reference" + }, + "__main__.main.n_bytes": { + "cairo_type": "felt", + "full_name": "__main__.main.n_bytes", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 9 + }, + "pc": 1411, + "value": "cast(16, felt)" + } + ], + "type": "reference" + }, + "__main__.main.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.main.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 38, + "offset": 0 + }, + "pc": 1398, + "value": "[cast(fp + (-4), felt*)]" + }, + { + "ap_tracking_data": { + "group": 39, + "offset": 0 + }, + "pc": 1418, + "value": "[cast(ap + (-5), felt*)]" + }, + { + "ap_tracking_data": { + "group": 40, + "offset": 0 + }, + "pc": 1428, + "value": "[cast(ap + (-2), felt*)]" + }, + { + "ap_tracking_data": { + "group": 39, + "offset": 0 + }, + "pc": 1419, + "value": "[cast(ap + (-5), felt*)]" + }, + { + "ap_tracking_data": { + "group": 40, + "offset": 0 + }, + "pc": 1429, + "value": "[cast(ap + (-2), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.res": { + "cairo_type": "starkware.cairo.common.uint256.Uint256", + "full_name": "__main__.main.res", + "references": [ + { + "ap_tracking_data": { + "group": 39, + "offset": 0 + }, + "pc": 1419, + "value": "[cast(ap + (-2), starkware.cairo.common.uint256.Uint256*)]" + } + ], + "type": "reference" + }, + "starkware.cairo.common.alloc.alloc": { + "decorators": [], + "pc": 6, + "type": "function" + }, + "starkware.cairo.common.alloc.alloc.Args": { + "full_name": "starkware.cairo.common.alloc.alloc.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "starkware.cairo.common.alloc.alloc.ImplicitArgs": { + "full_name": "starkware.cairo.common.alloc.alloc.ImplicitArgs", + "members": {}, + "size": 0, + "type": "struct" + }, + "starkware.cairo.common.alloc.alloc.Return": { + "cairo_type": "(ptr: felt*)", + "type": "type_definition" + }, + "starkware.cairo.common.alloc.alloc.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.bitwise.ALL_ONES": { + "type": "const", + "value": -106710729501573572985208420194530329073740042555888586719234 + }, + "starkware.cairo.common.bitwise.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "starkware.cairo.common.bitwise.bitwise_xor": { + "decorators": [], + "pc": 9, + "type": "function" + }, + "starkware.cairo.common.bitwise.bitwise_xor.Args": { + "full_name": "starkware.cairo.common.bitwise.bitwise_xor.Args", + "members": { + "x": { + "cairo_type": "felt", + "offset": 0 + }, + "y": { + "cairo_type": "felt", + "offset": 1 + } + }, + "size": 2, + "type": "struct" + }, + "starkware.cairo.common.bitwise.bitwise_xor.ImplicitArgs": { + "full_name": "starkware.cairo.common.bitwise.bitwise_xor.ImplicitArgs", + "members": { + "bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "starkware.cairo.common.bitwise.bitwise_xor.Return": { + "cairo_type": "(x_xor_y: felt)", + "type": "type_definition" + }, + "starkware.cairo.common.bitwise.bitwise_xor.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.bitwise.bitwise_xor.bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "full_name": "starkware.cairo.common.bitwise.bitwise_xor.bitwise_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 9, + "value": "[cast(fp + (-5), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 11, + "value": "cast([fp + (-5)] + 5, starkware.cairo.common.cairo_builtins.BitwiseBuiltin*)" + } + ], + "type": "reference" + }, + "starkware.cairo.common.bitwise.bitwise_xor.x": { + "cairo_type": "felt", + "full_name": "starkware.cairo.common.bitwise.bitwise_xor.x", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 9, + "value": "[cast(fp + (-4), felt*)]" + } + ], + "type": "reference" + }, + "starkware.cairo.common.bitwise.bitwise_xor.x_and_y": { + "cairo_type": "felt", + "full_name": "starkware.cairo.common.bitwise.bitwise_xor.x_and_y", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 11, + "value": "[cast([fp + (-5)] + 2, felt*)]" + } + ], + "type": "reference" + }, + "starkware.cairo.common.bitwise.bitwise_xor.x_or_y": { + "cairo_type": "felt", + "full_name": "starkware.cairo.common.bitwise.bitwise_xor.x_or_y", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 11, + "value": "[cast([fp + (-5)] + 4, felt*)]" 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int) and n_elms >= 0, \\\n f'Invalid value for len. Got: {n_elms}.'\nif '__chained_ec_op_max_len' in globals():\n assert n_elms <= __chained_ec_op_max_len, \\\n f'chained_ec_op() can only be used with len<={__chained_ec_op_max_len}. ' \\\n f'Got: n_elms={n_elms}.'\n\n# Define a seed for random_ec_point that's dependent on all the input, so that:\n# (1) The added point s is deterministic.\n# (2) It's hard to choose inputs for which the builtin will fail.\nseed = b\"\".join(\n map(\n to_bytes,\n [\n ids.p.x,\n ids.p.y,\n *memory.get_range(ids.m, n_elms),\n *memory.get_range(ids.q.address_, 2 * n_elms),\n ],\n )\n)\nids.s.x, ids.s.y = random_ec_point(FIELD_PRIME, ALPHA, BETA, seed)", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.ec.chained_ec_op.ec_op_ptr": 29, + "starkware.cairo.common.ec.chained_ec_op.len": 28, + "starkware.cairo.common.ec.chained_ec_op.m": 26, + "starkware.cairo.common.ec.chained_ec_op.p": 25, + "starkware.cairo.common.ec.chained_ec_op.q": 27, + "starkware.cairo.common.ec.chained_ec_op.s": 30 + } + } + } + ], + "128": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" 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import ec_double_slope\nfrom starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n\n# Compute the slope.\nx = pack(ids.point.x, PRIME)\ny = pack(ids.point.y, PRIME)\nvalue = slope = ec_double_slope(point=(x, y), alpha=42204101795669822316448953119945047945709099015225996174933988943478124189485, p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "__main__.compute_doubling_slope.point": 46, + "__main__.compute_doubling_slope.range_check_ptr": 47 + } + } + } + ] + }, + "identifiers": { + "__main__.BASE": { + "type": "const", + "value": 77371252455336267181195264 + }, + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "full_name": "__main__.EcPoint", + "members": { + "x": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 0 + }, + "y": { + "cairo_type": 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"__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 60, + "end_line": 106, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 40, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 33, + "start_line": 109 + }, + "While expanding the reference 'point_1' in:" + ], + "start_col": 58, + "start_line": 106 + } + }, + "168": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 5 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 62, + "end_line": 106, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 40, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 33, + "start_line": 109 + }, + "While expanding the reference 'point_1' in:" + ], + "start_col": 61, + "start_line": 106 + } + }, + "170": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 6 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 67, + "end_line": 106, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 40, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 33, + "start_line": 109 + }, + "While expanding the reference 'point_1' in:" + ], + "start_col": 63, + "start_line": 106 + } + }, + "172": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 7 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 36, + "end_line": 107, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 49, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 42, + "start_line": 109 + }, + "While expanding the reference 'point_2' in:" + ], + "start_col": 35, + "start_line": 107 + } + }, + "174": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 8 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 38, + "end_line": 107, + "input_file": { + "filename": 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"start_col": 39, + "start_line": 107 + } + }, + "178": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 10 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 54, + "end_line": 107, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 49, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 42, + "start_line": 109 + }, + "While expanding the reference 'point_2' in:" + ], + "start_col": 53, + "start_line": 107 + } + }, + "180": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 11 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 56, + "end_line": 107, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 49, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 42, + "start_line": 109 + }, + "While expanding the reference 'point_2' in:" + ], + "start_col": 55, + "start_line": 107 + } + }, + "182": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 12 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 60, + "end_line": 107, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 49, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 42, + "start_line": 109 + }, + "While expanding the reference 'point_2' in:" + ], + "start_col": 57, + "start_line": 107 + } + }, + "184": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 13 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 94 + } + }, + "hints": [], + "inst": { + "end_col": 50, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 19, + "start_line": 109 + } + }, + "186": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 97, + "__main__.main.slope": 98 + } + }, + "hints": [], + "inst": { + "end_col": 109, + "end_line": 110, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 5, + "start_line": 110 + } + }, + "188": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 97, + "__main__.main.slope": 98 + } + }, + "hints": [], + "inst": { + "end_col": 109, + "end_line": 110, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 5, + "start_line": 110 + } + }, + "190": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 97, + "__main__.main.slope": 98 + } + }, + "hints": [], + "inst": { + "end_col": 109, + "end_line": 110, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 5, + "start_line": 110 + } + }, + "192": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 97, + "__main__.main.slope": 98 + } + }, + "hints": [], + "inst": { + "end_col": 35, + "end_line": 19, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 50, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 105, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "parent_location": [ + { + "end_col": 15, + "end_line": 111, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 5, + "start_line": 111 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 105 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 19, + "start_line": 109 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 20, + "start_line": 19 + } + }, + "193": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 1 + }, + "reference_ids": { + "__main__.main.point_1": 95, + "__main__.main.point_2": 96, + "__main__.main.range_check_ptr": 97, + "__main__.main.slope": 98 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 111, + "input_file": { + "filename": "cairo_programs/compute_slope_v2.cairo" + }, + "start_col": 5, + "start_line": 111 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 0, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 1 + } + } + } + ], + "18": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 13, + "starkware.cairo.common.math.unsigned_div_rem.q": 16, + "starkware.cairo.common.math.unsigned_div_rem.r": 15, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 17, + "starkware.cairo.common.math.unsigned_div_rem.value": 12 + } + } + } + ], + "33": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 22, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 23 + } + } + } + ], + "45": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256" + ], + "code": "ids.low = (ids.x.d0 + ids.x.d1 * ids.BASE) & ((1 << 128) - 1)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.high": 32, + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.low": 31, + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.range_check_ptr": 33, + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.x": 29 + } + } + } + ], + "88": [ + { + "accessible_scopes": [ + "__main__", + "__main__.compute_slope" + ], + "code": "from starkware.python.math_utils import line_slope\nfrom starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n# Compute the slope.\nx0 = pack(ids.point0.x, PRIME)\ny0 = pack(ids.point0.y, PRIME)\nx1 = pack(ids.point1.x, PRIME)\ny1 = pack(ids.point1.y, PRIME)\nvalue = slope = line_slope(point1=(x0, y0), point2=(x1, y1), p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 4 + }, + "reference_ids": { + "__main__.compute_slope.point0": 52, + "__main__.compute_slope.point1": 53, + "__main__.compute_slope.range_check_ptr": 54 + } + } + } + ], + "136": [ + { + "accessible_scopes": [ + "__main__", + "__main__.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\nto_assert = pack(ids.val, PRIME)\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 0 + }, + "reference_ids": { + "__main__.verify_zero.q": 83, + "__main__.verify_zero.range_check_ptr": 82, + "__main__.verify_zero.val": 81 + } + } + } + ] + }, + "identifiers": { + "__main__.BASE": { + "type": "const", + "value": 77371252455336267181195264 + }, + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "full_name": "__main__.EcPoint", + "members": { + "x": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 0 + }, + "y": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 3 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.SECP_REM": { + "type": "const", + "value": 19 + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.bigint_to_uint256": { + "destination": "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256", + "type": "alias" + }, + "__main__.compute_slope": { + "decorators": [], + "pc": 86, + "type": "function" + }, + "__main__.compute_slope.Args": { + "full_name": "__main__.compute_slope.Args", + "members": { + "point0": { + "cairo_type": "__main__.EcPoint", + "offset": 0 + }, + "point1": { + "cairo_type": "__main__.EcPoint", + "offset": 6 + } + }, + "size": 12, + "type": "struct" + }, + "__main__.compute_slope.ImplicitArgs": { + "full_name": "__main__.compute_slope.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.compute_slope.Return": { + "cairo_type": "(slope: starkware.cairo.common.cairo_secp.bigint.BigInt3)", + "type": "type_definition" + }, + "__main__.compute_slope.SIZEOF_LOCALS": { + "type": "const", + "value": 4 + }, + "__main__.compute_slope.__temp14": { + "cairo_type": "felt", + "full_name": "__main__.compute_slope.__temp14", + "references": [ + { + "ap_tracking_data": { + "group": 8, + "offset": 1 + }, + "pc": 104, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_slope.__temp15": { + "cairo_type": "felt", + "full_name": "__main__.compute_slope.__temp15", + "references": [ + { + "ap_tracking_data": { + "group": 8, + "offset": 2 + }, + "pc": 105, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_slope.__temp16": { + "cairo_type": "felt", + "full_name": "__main__.compute_slope.__temp16", + "references": [ + { + "ap_tracking_data": { + "group": 8, + "offset": 3 + }, + "pc": 106, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_slope.point0": { + "cairo_type": "__main__.EcPoint", + "full_name": "__main__.compute_slope.point0", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 86, + "value": "[cast(fp + (-14), __main__.EcPoint*)]" + } + ], + "type": "reference" + }, + "__main__.compute_slope.point1": { + "cairo_type": "__main__.EcPoint", + "full_name": "__main__.compute_slope.point1", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 86, + "value": "[cast(fp + (-8), __main__.EcPoint*)]" + } + ], + "type": "reference" + }, + 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'range_check_ptr' in:" + ], + "start_col": 16, + "start_line": 91 + } + }, + "355": { + "accessible_scopes": [ + "__main__", + "__main__.run_tests" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 27, + "offset": 1 + }, + "reference_ids": { + "__main__.run_tests.last": 180, + "__main__.run_tests.range_check_ptr": 181 + } + }, + "hints": [], + "inst": { + "end_col": 23, + "end_line": 92, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 22, + "start_line": 92 + } + }, + "357": { + "accessible_scopes": [ + "__main__", + "__main__.run_tests" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 27, + "offset": 2 + }, + "reference_ids": { + "__main__.run_tests.last": 180, + "__main__.run_tests.range_check_ptr": 181 + } + }, + "hints": [], + "inst": { + "end_col": 43, + "end_line": 91, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "parent_location": [ + { + "end_col": 29, + "end_line": 92, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 25, + "start_line": 92 + }, + "While expanding the reference 'last' in:" + ], + "start_col": 33, + "start_line": 91 + } + }, + "358": { + "accessible_scopes": [ + "__main__", + "__main__.run_tests" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 27, + "offset": 3 + }, + "reference_ids": { + "__main__.run_tests.last": 180, + "__main__.run_tests.range_check_ptr": 181 + } + }, + "hints": [], + "inst": { + "end_col": 30, + "end_line": 92, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 92 + } + }, + "360": { + "accessible_scopes": [ + "__main__", + "__main__.run_tests" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 28, + "offset": 0 + }, + "reference_ids": { + "__main__.run_tests.last": 180, + "__main__.run_tests.range_check_ptr": 182 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 94, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 94 + } + }, + "361": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 29, + "offset": 0 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 183 + } + }, + "hints": [], + "inst": { + "end_col": 32, + "end_line": 97, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "parent_location": [ + { + "end_col": 31, + "end_line": 91, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "parent_location": [ + { + "end_col": 18, + "end_line": 98, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 98 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 16, + "start_line": 91 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 97 + } + }, + "362": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 29, + "offset": 1 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 183 + } + }, + "hints": [], + "inst": { + "end_col": 17, + "end_line": 98, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 15, + "start_line": 98 + } + }, + "364": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 29, + "offset": 2 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 183 + } + }, + "hints": [], + "inst": { + "end_col": 18, + "end_line": 98, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 98 + } + }, + "366": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 30, + "offset": 0 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 184 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 100, + "input_file": { + "filename": "cairo_programs/dict_integration_tests.cairo" + }, + "start_col": 5, + "start_line": 100 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 2 + } + } + } + ], + "10": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "24": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "36": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "45": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_lt_felt" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\nassert (ids.a % PRIME) < (ids.b % PRIME), \\\n f'a = {ids.a % PRIME} is not less than b = {ids.b % PRIME}.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_lt_felt.a": 25, + "starkware.cairo.common.math.assert_lt_felt.b": 26, + "starkware.cairo.common.math.assert_lt_felt.range_check_ptr": 27 + } + } + } + ], + "58": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "vm_enter_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 33, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 32 + } + } + } + ], + "61": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.ptr_diff": 34, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 33, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 32 + } + } + } + ], + "66": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "dict_access_size = ids.DictAccess.SIZE\naddress = ids.dict_accesses.address_\nassert ids.ptr_diff % dict_access_size == 0, \\\n 'Accesses array size must be divisible by DictAccess.SIZE'\nn_accesses = ids.n_accesses\nif '__squash_dict_max_size' in globals():\n assert n_accesses <= __squash_dict_max_size, \\\n f'squash_dict() can only be used with n_accesses<={__squash_dict_max_size}. ' \\\n f'Got: n_accesses={n_accesses}.'\n# A map from key to the list of indices accessing it.\naccess_indices = {}\nfor i in range(n_accesses):\n key = memory[address + dict_access_size * i]\n access_indices.setdefault(key, []).append(i)\n# Descending list of keys.\nkeys = sorted(access_indices.keys(), reverse=True)\n# Are the keys used bigger than range_check bound.\nids.big_keys = 1 if keys[0] >= range_check_builtin.bound else 0\nids.first_key = key = keys.pop()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.big_keys": 36, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.first_key": 35, + "starkware.cairo.common.squash_dict.squash_dict.n_accesses": 37, + "starkware.cairo.common.squash_dict.squash_dict.ptr_diff": 34, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 33, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 32 + } + } + } + ], + "83": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.big_keys": 36, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.first_key": 35, + "starkware.cairo.common.squash_dict.squash_dict.n_accesses": 37, + "starkware.cairo.common.squash_dict.squash_dict.ptr_diff": 34, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 41, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 42 + } + } + } + ], + "86": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "current_access_indices = sorted(access_indices[key])[::-1]\ncurrent_access_index = current_access_indices.pop()\nmemory[ids.range_check_ptr] = current_access_index", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "97": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "ids.should_skip_loop = 0 if current_access_indices else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 7 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "99": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "new_access_index = current_access_indices.pop()\nids.loop_temps.index_delta_minus1 = new_access_index - current_access_index - 1\ncurrent_access_index = new_access_index", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 7 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_locals": 59, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_temps": 58, + "starkware.cairo.common.squash_dict.squash_dict_inner.prev_loop_locals": 57, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "110": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "ids.loop_temps.should_continue = 1 if current_access_indices else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 13 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.access": 60, + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_locals": 59, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_temps": 58, + "starkware.cairo.common.squash_dict.squash_dict_inner.prev_loop_locals": 57, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "112": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert len(current_access_indices) == 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "115": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert ids.n_used_accesses == len(access_indices[key])", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.n_used_accesses": 62, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "119": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert len(keys) == 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.n_used_accesses": 62, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 63, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 64, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "126": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert len(keys) > 0, 'No keys left but remaining_accesses > 0.'\nids.next_key = key = keys.pop()", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.n_used_accesses": 62, + "starkware.cairo.common.squash_dict.squash_dict_inner.next_key": 65, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 63, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 64, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "156": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_new" + ], + "code": "if '__dict_manager' not in globals():\n from starkware.cairo.common.dict import DictManager\n __dict_manager = DictManager()\n\nmemory[ap] = __dict_manager.new_dict(segments, initial_dict)\ndel initial_dict", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "161": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_read" + ], + "code": "dict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ndict_tracker.current_ptr += ids.DictAccess.SIZE\nids.value = dict_tracker.data[ids.key]", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_read.dict_ptr": 84, + "starkware.cairo.common.dict.dict_read.key": 83, + "starkware.cairo.common.dict.dict_read.value": 85 + } + } + } + ], + "168": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_write" + ], + "code": "dict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ndict_tracker.current_ptr += ids.DictAccess.SIZE\nids.dict_ptr.prev_value = dict_tracker.data[ids.key]\ndict_tracker.data[ids.key] = ids.new_value", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_write.dict_ptr": 89, + "starkware.cairo.common.dict.dict_write.key": 87, + "starkware.cairo.common.dict.dict_write.new_value": 88 + } + } + } + ], + "173": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_update" + ], + "code": "# Verify dict pointer and prev value.\ndict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ncurrent_value = dict_tracker.data[ids.key]\nassert current_value == ids.prev_value, \\\n f'Wrong previous value in dict. Got {ids.prev_value}, expected {current_value}.'\n\n# Update value.\ndict_tracker.data[ids.key] = ids.new_value\ndict_tracker.current_ptr += ids.DictAccess.SIZE", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_update.dict_ptr": 94, + "starkware.cairo.common.dict.dict_update.key": 91, + "starkware.cairo.common.dict.dict_update.new_value": 93, + "starkware.cairo.common.dict.dict_update.prev_value": 92 + } + } + } + ], + "181": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_squash" + ], + "code": "# Prepare arguments for dict_new. In particular, the same dictionary values should be copied\n# to the new (squashed) dictionary.\nvm_enter_scope({\n # Make __dict_manager accessible.\n '__dict_manager': __dict_manager,\n # Create a copy of the dict, in case it changes in the future.\n 'initial_dict': dict(__dict_manager.get_dict(ids.dict_accesses_end)),\n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_squash.dict_accesses_end": 97, + "starkware.cairo.common.dict.dict_squash.dict_accesses_start": 96, + "starkware.cairo.common.dict.dict_squash.range_check_ptr": 98 + } + } + } + ], + "184": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_squash" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_squash.dict_accesses_end": 97, + "starkware.cairo.common.dict.dict_squash.dict_accesses_start": 96, + "starkware.cairo.common.dict.dict_squash.range_check_ptr": 98, + "starkware.cairo.common.dict.dict_squash.squashed_dict_start": 100 + } + } + } + ], + "190": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_squash" + ], + "code": "# Update the DictTracker's current_ptr to point to the end of the squashed dict.\n__dict_manager.get_tracker(ids.squashed_dict_start).current_ptr = \\\n ids.squashed_dict_end.address_", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_squash.dict_accesses_end": 97, + "starkware.cairo.common.dict.dict_squash.dict_accesses_start": 96, + "starkware.cairo.common.dict.dict_squash.range_check_ptr": 101, + "starkware.cairo.common.dict.dict_squash.squashed_dict_end": 102, + "starkware.cairo.common.dict.dict_squash.squashed_dict_start": 100 + } + } + } + ], + "194": [ + { + "accessible_scopes": [ + "starkware.cairo.common.default_dict", + "starkware.cairo.common.default_dict.default_dict_new" + ], + "code": "if '__dict_manager' not in globals():\n from starkware.cairo.common.dict import DictManager\n __dict_manager = DictManager()\n\nmemory[ap] = __dict_manager.new_default_dict(segments, ids.default_value)", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.default_dict.default_dict_new.default_value": 103 + } + } + } + ] + }, + "identifiers": { + "__main__.DictAccess": { + "destination": "starkware.cairo.common.dict_access.DictAccess", + "type": "alias" + }, + "__main__.check_squashed_dictionary": { + "decorators": [], + "pc": 259, + "type": "function" + }, + "__main__.check_squashed_dictionary.Args": { + "full_name": "__main__.check_squashed_dictionary.Args", + "members": { + "final_base": { + "cairo_type": "felt", + "offset": 4 + }, + "final_step": { + "cairo_type": "felt", + "offset": 5 + }, + "init_base": { + "cairo_type": "felt", + "offset": 2 + }, + "init_step": { + "cairo_type": "felt", + "offset": 3 + }, + "iter": { + "cairo_type": "felt", + "offset": 0 + }, + "last": { + "cairo_type": "felt", + "offset": 1 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.check_squashed_dictionary.ImplicitArgs": { + "full_name": "__main__.check_squashed_dictionary.ImplicitArgs", + "members": { + "dict_end": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.check_squashed_dictionary.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.check_squashed_dictionary.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.check_squashed_dictionary.__temp25": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp25", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 1 + }, + "pc": 262, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp26": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp26", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 2 + }, + "pc": 268, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp27": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp27", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 3 + }, + "pc": 269, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp28": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp28", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 4 + }, + "pc": 272, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp29": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp29", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 5 + }, + "pc": 274, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp30": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp30", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 6 + }, + "pc": 275, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp31": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp31", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 7 + }, + "pc": 276, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp32": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp32", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 8 + }, + "pc": 277, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp33": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp33", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 9 + }, + "pc": 280, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp34": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp34", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 10 + }, + "pc": 282, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp35": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp35", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 11 + }, + "pc": 283, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp36": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp36", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 12 + }, + "pc": 284, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.__temp37": { + "cairo_type": "felt", + "full_name": "__main__.check_squashed_dictionary.__temp37", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 13 + }, + "pc": 285, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.check_squashed_dictionary.a": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess", + "full_name": "__main__.check_squashed_dictionary.a", + "references": [ + { + "ap_tracking_data": { + "group": 19, + "offset": 13 + }, + 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"starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 2 + } + } + } + ], + "10": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "24": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "36": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 3, + "starkware.cairo.common.math.assert_le_felt.__temp1": 4, + "starkware.cairo.common.math.assert_le_felt.__temp2": 5, + "starkware.cairo.common.math.assert_le_felt.__temp3": 7, + "starkware.cairo.common.math.assert_le_felt.__temp4": 8, + "starkware.cairo.common.math.assert_le_felt.__temp5": 9, + "starkware.cairo.common.math.assert_le_felt.a": 0, + "starkware.cairo.common.math.assert_le_felt.arc_long": 10, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 13, + "starkware.cairo.common.math.assert_le_felt.arc_short": 6, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 12, + "starkware.cairo.common.math.assert_le_felt.b": 1, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 11 + } + } + } + ], + "45": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_lt_felt" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\nassert (ids.a % PRIME) < (ids.b % PRIME), \\\n f'a = {ids.a % PRIME} is not less than b = {ids.b % PRIME}.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_lt_felt.a": 25, + "starkware.cairo.common.math.assert_lt_felt.b": 26, + "starkware.cairo.common.math.assert_lt_felt.range_check_ptr": 27 + } + } + } + ], + "58": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "vm_enter_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 33, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 32 + } + } + } + ], + "61": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.ptr_diff": 34, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 33, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 32 + } + } + } + ], + "66": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "dict_access_size = ids.DictAccess.SIZE\naddress = ids.dict_accesses.address_\nassert ids.ptr_diff % dict_access_size == 0, \\\n 'Accesses array size must be divisible by DictAccess.SIZE'\nn_accesses = ids.n_accesses\nif '__squash_dict_max_size' in globals():\n assert n_accesses <= __squash_dict_max_size, \\\n f'squash_dict() can only be used with n_accesses<={__squash_dict_max_size}. ' \\\n f'Got: n_accesses={n_accesses}.'\n# A map from key to the list of indices accessing it.\naccess_indices = {}\nfor i in range(n_accesses):\n key = memory[address + dict_access_size * i]\n access_indices.setdefault(key, []).append(i)\n# Descending list of keys.\nkeys = sorted(access_indices.keys(), reverse=True)\n# Are the keys used bigger than range_check bound.\nids.big_keys = 1 if keys[0] >= range_check_builtin.bound else 0\nids.first_key = key = keys.pop()", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.big_keys": 36, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.first_key": 35, + "starkware.cairo.common.squash_dict.squash_dict.n_accesses": 37, + "starkware.cairo.common.squash_dict.squash_dict.ptr_diff": 34, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 33, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 32 + } + } + } + ], + "83": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict.big_keys": 36, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses": 30, + "starkware.cairo.common.squash_dict.squash_dict.dict_accesses_end": 31, + "starkware.cairo.common.squash_dict.squash_dict.first_key": 35, + "starkware.cairo.common.squash_dict.squash_dict.n_accesses": 37, + "starkware.cairo.common.squash_dict.squash_dict.ptr_diff": 34, + "starkware.cairo.common.squash_dict.squash_dict.range_check_ptr": 41, + "starkware.cairo.common.squash_dict.squash_dict.squashed_dict": 42 + } + } + } + ], + "86": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "current_access_indices = sorted(access_indices[key])[::-1]\ncurrent_access_index = current_access_indices.pop()\nmemory[ids.range_check_ptr] = current_access_index", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "97": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "ids.should_skip_loop = 0 if current_access_indices else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 7 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "99": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "new_access_index = current_access_indices.pop()\nids.loop_temps.index_delta_minus1 = new_access_index - current_access_index - 1\ncurrent_access_index = new_access_index", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 7 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_locals": 59, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_temps": 58, + "starkware.cairo.common.squash_dict.squash_dict_inner.prev_loop_locals": 57, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "110": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "ids.loop_temps.should_continue = 1 if current_access_indices else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 13 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.access": 60, + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_locals": 59, + "starkware.cairo.common.squash_dict.squash_dict_inner.loop_temps": 58, + "starkware.cairo.common.squash_dict.squash_dict_inner.prev_loop_locals": 57, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "112": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert len(current_access_indices) == 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "115": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert ids.n_used_accesses == len(access_indices[key])", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.n_used_accesses": 62, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 43, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 47, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "119": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert len(keys) == 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.n_used_accesses": 62, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 63, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 64, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "126": [ + { + "accessible_scopes": [ + "starkware.cairo.common.squash_dict", + "starkware.cairo.common.squash_dict.squash_dict_inner" + ], + "code": "assert len(keys) > 0, 'No keys left but remaining_accesses > 0.'\nids.next_key = key = keys.pop()", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.squash_dict.squash_dict_inner.big_keys": 49, + "starkware.cairo.common.squash_dict.squash_dict_inner.current_access_index": 51, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses": 44, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_accesses_end_minus1": 45, + "starkware.cairo.common.squash_dict.squash_dict_inner.dict_diff": 50, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_access": 54, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_loop_locals": 53, + "starkware.cairo.common.squash_dict.squash_dict_inner.first_value": 55, + "starkware.cairo.common.squash_dict.squash_dict_inner.key": 46, + "starkware.cairo.common.squash_dict.squash_dict_inner.last_loop_locals": 61, + "starkware.cairo.common.squash_dict.squash_dict_inner.n_used_accesses": 62, + "starkware.cairo.common.squash_dict.squash_dict_inner.next_key": 65, + "starkware.cairo.common.squash_dict.squash_dict_inner.ptr_delta": 52, + "starkware.cairo.common.squash_dict.squash_dict_inner.range_check_ptr": 63, + "starkware.cairo.common.squash_dict.squash_dict_inner.remaining_accesses": 64, + "starkware.cairo.common.squash_dict.squash_dict_inner.should_skip_loop": 56, + "starkware.cairo.common.squash_dict.squash_dict_inner.squashed_dict": 48 + } + } + } + ], + "156": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_new" + ], + "code": "if '__dict_manager' not in globals():\n from starkware.cairo.common.dict import DictManager\n __dict_manager = DictManager()\n\nmemory[ap] = __dict_manager.new_dict(segments, initial_dict)\ndel initial_dict", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "159": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_write" + ], + "code": "dict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ndict_tracker.current_ptr += ids.DictAccess.SIZE\nids.dict_ptr.prev_value = dict_tracker.data[ids.key]\ndict_tracker.data[ids.key] = ids.new_value", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_write.dict_ptr": 85, + "starkware.cairo.common.dict.dict_write.key": 83, + "starkware.cairo.common.dict.dict_write.new_value": 84 + } + } + } + ], + "164": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_update" + ], + "code": "# Verify dict pointer and prev value.\ndict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ncurrent_value = dict_tracker.data[ids.key]\nassert current_value == ids.prev_value, \\\n f'Wrong previous value in dict. Got {ids.prev_value}, expected {current_value}.'\n\n# Update value.\ndict_tracker.data[ids.key] = ids.new_value\ndict_tracker.current_ptr += ids.DictAccess.SIZE", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_update.dict_ptr": 90, + "starkware.cairo.common.dict.dict_update.key": 87, + "starkware.cairo.common.dict.dict_update.new_value": 89, + "starkware.cairo.common.dict.dict_update.prev_value": 88 + } + } + } + ], + "172": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_squash" + ], + "code": "# Prepare arguments for dict_new. In particular, the same dictionary values should be copied\n# to the new (squashed) dictionary.\nvm_enter_scope({\n # Make __dict_manager accessible.\n '__dict_manager': __dict_manager,\n # Create a copy of the dict, in case it changes in the future.\n 'initial_dict': dict(__dict_manager.get_dict(ids.dict_accesses_end)),\n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_squash.dict_accesses_end": 93, + "starkware.cairo.common.dict.dict_squash.dict_accesses_start": 92, + "starkware.cairo.common.dict.dict_squash.range_check_ptr": 94 + } + } + } + ], + "175": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_squash" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_squash.dict_accesses_end": 93, + "starkware.cairo.common.dict.dict_squash.dict_accesses_start": 92, + "starkware.cairo.common.dict.dict_squash.range_check_ptr": 94, + "starkware.cairo.common.dict.dict_squash.squashed_dict_start": 96 + } + } + } + ], + "181": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_squash" + ], + "code": "# Update the DictTracker's current_ptr to point to the end of the squashed dict.\n__dict_manager.get_tracker(ids.squashed_dict_start).current_ptr = \\\n ids.squashed_dict_end.address_", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_squash.dict_accesses_end": 93, + "starkware.cairo.common.dict.dict_squash.dict_accesses_start": 92, + "starkware.cairo.common.dict.dict_squash.range_check_ptr": 97, + "starkware.cairo.common.dict.dict_squash.squashed_dict_end": 98, + "starkware.cairo.common.dict.dict_squash.squashed_dict_start": 96 + } + } + } + ], + "185": [ + { + "accessible_scopes": [ + "starkware.cairo.common.default_dict", + "starkware.cairo.common.default_dict.default_dict_new" + ], + "code": "if '__dict_manager' not in globals():\n from starkware.cairo.common.dict import DictManager\n __dict_manager = DictManager()\n\nmemory[ap] = __dict_manager.new_default_dict(segments, ids.default_value)", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.default_dict.default_dict_new.default_value": 99 + } + } + } + ] + }, + "identifiers": { + "__main__.DictAccess": { + "destination": "starkware.cairo.common.dict_access.DictAccess", + "type": "alias" + }, + "__main__.default_dict_new": { + "destination": "starkware.cairo.common.default_dict.default_dict_new", + "type": "alias" + }, + "__main__.dict_squash": { + "destination": "starkware.cairo.common.dict.dict_squash", + "type": "alias" + }, + "__main__.dict_update": { + "destination": "starkware.cairo.common.dict.dict_update", + "type": "alias" + }, + "__main__.dict_write": { + "destination": "starkware.cairo.common.dict.dict_write", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 188, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.main.__temp19": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp19", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 1 + }, + "pc": 289, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp20": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp20", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 2 + }, + "pc": 292, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp21": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp21", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 3 + }, + "pc": 295, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp22": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp22", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 4 + }, + "pc": 298, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp23": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp23", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 5 + }, + "pc": 301, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp24": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp24", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 6 + }, + "pc": 304, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp25": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp25", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 7 + }, + "pc": 307, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp26": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp26", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 8 + }, + "pc": 310, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp27": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp27", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 9 + }, + "pc": 313, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.dict_end": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "full_name": "__main__.main.dict_end", + "references": [ + { + "ap_tracking_data": { + "group": 14, + "offset": 4 + }, + "pc": 192, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 9 + }, + "pc": 198, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 14 + }, + "pc": 204, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 19 + }, + "pc": 210, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 25 + }, + "pc": 218, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 31 + }, + "pc": 226, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 37 + }, + "pc": 234, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 43 + }, + "pc": 242, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 49 + }, + "pc": 250, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 55 + }, + "pc": 258, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 61 + }, + "pc": 266, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 67 + }, + "pc": 274, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + }, + { + "ap_tracking_data": { + "group": 14, + "offset": 73 + }, + "pc": 282, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + } + ], + "type": "reference" + }, + "__main__.main.dict_start": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "full_name": "__main__.main.dict_start", + "references": [ + { + "ap_tracking_data": { + "group": 14, + "offset": 4 + }, + "pc": 192, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + } + ], + "type": "reference" + }, + "__main__.main.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.main.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 14, + "offset": 0 + }, + "pc": 188, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 15, + "offset": 0 + }, + "pc": 287, + "value": "[cast(ap + (-3), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.squashed_dict_end": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "full_name": "__main__.main.squashed_dict_end", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 0 + }, + "pc": 287, + "value": "[cast(ap + (-1), starkware.cairo.common.dict_access.DictAccess**)]" + } + ], + "type": "reference" + }, + "__main__.main.squashed_dict_start": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "full_name": "__main__.main.squashed_dict_start", + "references": [ + { + "ap_tracking_data": { + "group": 15, + "offset": 0 + }, + "pc": 287, + "value": "[cast(ap + (-2), starkware.cairo.common.dict_access.DictAccess**)]" + } + ], + "type": "reference" + }, + "starkware.cairo.common.bool.FALSE": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.bool.TRUE": { + "type": "const", + "value": 1 + }, + "starkware.cairo.common.default_dict.DictAccess": { + "destination": "starkware.cairo.common.dict_access.DictAccess", + "type": "alias" + }, + "starkware.cairo.common.default_dict.default_dict_new": { + "decorators": [], + "pc": 185, + "type": "function" + }, + "starkware.cairo.common.default_dict.default_dict_new.Args": { + "full_name": "starkware.cairo.common.default_dict.default_dict_new.Args", + "members": { + "default_value": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "starkware.cairo.common.default_dict.default_dict_new.ImplicitArgs": { + "full_name": "starkware.cairo.common.default_dict.default_dict_new.ImplicitArgs", + "members": {}, + "size": 0, + "type": "struct" + }, + "starkware.cairo.common.default_dict.default_dict_new.Return": { + "cairo_type": "(res: starkware.cairo.common.dict_access.DictAccess*)", + "type": "type_definition" + }, + "starkware.cairo.common.default_dict.default_dict_new.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.default_dict.default_dict_new.default_value": { + "cairo_type": "felt", + "full_name": "starkware.cairo.common.default_dict.default_dict_new.default_value", + "references": [ + { + "ap_tracking_data": { + "group": 13, + "offset": 0 + }, + "pc": 185, + "value": "[cast(fp + (-3), felt*)]" + } + ], + "type": "reference" + }, + "starkware.cairo.common.default_dict.dict_squash": { + "destination": "starkware.cairo.common.dict.dict_squash", + "type": "alias" + }, + "starkware.cairo.common.dict.DictAccess": { + "destination": "starkware.cairo.common.dict_access.DictAccess", + "type": "alias" + }, + "starkware.cairo.common.dict.dict_new": { + "decorators": [], + "pc": 156, + "type": "function" + }, + "starkware.cairo.common.dict.dict_new.Args": { + "full_name": "starkware.cairo.common.dict.dict_new.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "starkware.cairo.common.dict.dict_new.ImplicitArgs": { + "full_name": "starkware.cairo.common.dict.dict_new.ImplicitArgs", + "members": {}, + "size": 0, + "type": "struct" + }, + "starkware.cairo.common.dict.dict_new.Return": { + "cairo_type": "(res: starkware.cairo.common.dict_access.DictAccess*)", + "type": "type_definition" + }, + "starkware.cairo.common.dict.dict_new.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.dict.dict_squash": { + "decorators": [], + "pc": 170, + "type": "function" + }, + "starkware.cairo.common.dict.dict_squash.Args": { + "full_name": "starkware.cairo.common.dict.dict_squash.Args", + "members": { + "dict_accesses_end": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "offset": 1 + }, + "dict_accesses_start": { + "cairo_type": "starkware.cairo.common.dict_access.DictAccess*", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "starkware.cairo.common.dict.dict_squash.ImplicitArgs": { + 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"hints": [], + "inst": { + "end_col": 26, + "end_line": 22, + "input_file": { + "filename": "cairo_programs/dict_update.cairo" + }, + "start_col": 10, + "start_line": 22 + } + }, + "90": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 60 + }, + "reference_ids": { + "__main__.main.my_dict": 29, + "__main__.main.val1": 19, + "__main__.main.val2": 23, + "__main__.main.val3": 27, + "__main__.main.val4": 31 + } + }, + "hints": [], + "inst": { + "end_col": 22, + "end_line": 23, + "input_file": { + "filename": "cairo_programs/dict_update.cairo" + }, + "start_col": 5, + "start_line": 23 + } + }, + "92": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 60 + }, + "reference_ids": { + "__main__.main.my_dict": 29, + "__main__.main.val1": 19, + "__main__.main.val2": 23, + "__main__.main.val3": 27, + "__main__.main.val4": 31 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 24, + "input_file": { + "filename": "cairo_programs/dict_update.cairo" + }, + "start_col": 5, + "start_line": 24 + } + } + } + }, + "hints": { + "2": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_read" + ], + "code": "dict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ndict_tracker.current_ptr += ids.DictAccess.SIZE\nids.value = dict_tracker.data[ids.key]", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_read.dict_ptr": 1, + "starkware.cairo.common.dict.dict_read.key": 0, + "starkware.cairo.common.dict.dict_read.value": 2 + } + } + } + ], + "9": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_write" + ], + "code": "dict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ndict_tracker.current_ptr += ids.DictAccess.SIZE\nids.dict_ptr.prev_value = dict_tracker.data[ids.key]\ndict_tracker.data[ids.key] = ids.new_value", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_write.dict_ptr": 6, + "starkware.cairo.common.dict.dict_write.key": 4, + "starkware.cairo.common.dict.dict_write.new_value": 5 + } + } + } + ], + "14": [ + { + "accessible_scopes": [ + "starkware.cairo.common.dict", + "starkware.cairo.common.dict.dict_update" + ], + "code": "# Verify dict pointer and prev value.\ndict_tracker = __dict_manager.get_tracker(ids.dict_ptr)\ncurrent_value = dict_tracker.data[ids.key]\nassert current_value == ids.prev_value, \\\n f'Wrong previous value in dict. Got {ids.prev_value}, expected {current_value}.'\n\n# Update value.\ndict_tracker.data[ids.key] = ids.new_value\ndict_tracker.current_ptr += ids.DictAccess.SIZE", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.dict.dict_update.dict_ptr": 11, + "starkware.cairo.common.dict.dict_update.key": 8, + "starkware.cairo.common.dict.dict_update.new_value": 10, + "starkware.cairo.common.dict.dict_update.prev_value": 9 + } + } + } + ], + "20": [ + { + "accessible_scopes": [ + "starkware.cairo.common.default_dict", + "starkware.cairo.common.default_dict.default_dict_new" + ], + "code": "if '__dict_manager' not in globals():\n from starkware.cairo.common.dict import DictManager\n __dict_manager = DictManager()\n\nmemory[ap] = __dict_manager.new_default_dict(segments, ids.default_value)", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + 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"start_line": 125 + } + }, + "200": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 1 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 88 + } + }, + "hints": [], + "inst": { + "end_col": 21, + "end_line": 126, + "input_file": { + "filename": "cairo_programs/div_mod_n.cairo" + }, + "start_col": 5, + "start_line": 126 + } + }, + "202": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 198 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 89 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 128, + "input_file": { + "filename": "cairo_programs/div_mod_n.cairo" + }, + "start_col": 5, + "start_line": 128 + } + } + } + }, + "hints": { + "14": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 10, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 11 + } + } + } + ], + "26": [ + { + "accessible_scopes": [ + "__main__", + "__main__.div_mod_n" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import N, pack\nfrom starkware.python.math_utils import div_mod, safe_div\n\na = pack(ids.a, PRIME)\nb = pack(ids.b, PRIME)\nvalue = res = div_mod(a, b, N)", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": { + "__main__.div_mod_n.a": 17, + "__main__.div_mod_n.b": 18, + "__main__.div_mod_n.range_check_ptr": 19 + } + } + } + ], + "29": [ + { + "accessible_scopes": [ + "__main__", + "__main__.div_mod_n" + ], + "code": "value = k_plus_one = safe_div(res * b - a, N) + 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 11 + }, + "reference_ids": { + "__main__.div_mod_n.a": 17, + "__main__.div_mod_n.b": 18, + "__main__.div_mod_n.range_check_ptr": 20, + "__main__.div_mod_n.res": 21 + } + } + } + ], + "92": [ + { + "accessible_scopes": [ + "__main__", + "__main__.div_mod_n_alt" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import N, pack\nfrom starkware.python.math_utils import div_mod, safe_div\n\na = pack(ids.a, PRIME)\nb = pack(ids.b, PRIME)\nvalue = res = div_mod(a, b, N)", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "__main__.div_mod_n_alt.a": 49, + "__main__.div_mod_n_alt.b": 50, + "__main__.div_mod_n_alt.range_check_ptr": 51 + } + } + }, + { + "accessible_scopes": [ + "__main__", + "__main__.div_mod_n_alt" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nfrom starkware.python.math_utils import div_mod, safe_div\n\na = pack(ids.a, PRIME)\nb = pack(ids.b, PRIME)\nvalue = res = div_mod(a, b, N)", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "__main__.div_mod_n_alt.a": 49, + "__main__.div_mod_n_alt.b": 50, + "__main__.div_mod_n_alt.range_check_ptr": 51 + } + } + } + ], + "95": [ + { + "accessible_scopes": [ + "__main__", + "__main__.div_mod_n_alt" + ], + "code": "value = k_plus_one = safe_div(res * b - a, N) + 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 11 + }, + "reference_ids": { + "__main__.div_mod_n_alt.a": 49, + "__main__.div_mod_n_alt.b": 50, + "__main__.div_mod_n_alt.range_check_ptr": 52, + "__main__.div_mod_n_alt.res": 53 + } + } + } + ] + }, + "identifiers": { + "__main__.BASE": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BASE", + "type": "alias" + }, + "__main__.BETA": { + "destination": "starkware.cairo.common.cairo_secp.constants.BETA", + "type": "alias" + }, + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.N0": { + "destination": "starkware.cairo.common.cairo_secp.constants.N0", + "type": "alias" + }, + "__main__.N1": { + "destination": "starkware.cairo.common.cairo_secp.constants.N1", + "type": "alias" + }, + "__main__.N2": { + "destination": "starkware.cairo.common.cairo_secp.constants.N2", + "type": "alias" + }, + "__main__.bigint_mul": { + "destination": "starkware.cairo.common.cairo_secp.bigint.bigint_mul", + "type": "alias" + }, + "__main__.div_mod_n": { + "decorators": [], + "pc": 26, + "type": "function" + }, + "__main__.div_mod_n.Args": { + "full_name": "__main__.div_mod_n.Args", + "members": { + "a": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 0 + }, + "b": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 3 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.div_mod_n.ImplicitArgs": { + "full_name": "__main__.div_mod_n.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.div_mod_n.Return": { + "cairo_type": "(res: starkware.cairo.common.cairo_secp.bigint.BigInt3)", + "type": "type_definition" + }, + "__main__.div_mod_n.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.div_mod_n.__temp12": { + "cairo_type": "felt", + "full_name": "__main__.div_mod_n.__temp12", + "references": [ + { + "ap_tracking_data": { + "group": 2, + "offset": 65 + }, + "pc": 53, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.div_mod_n.__temp13": { + "cairo_type": "felt", + "full_name": "__main__.div_mod_n.__temp13", + "references": [ + { + "ap_tracking_data": { + "group": 2, + "offset": 66 + }, + "pc": 54, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": 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"flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 112, + "__main__.main.r": 114, + "__main__.main.range_check_ptr": 113, + "__main__.main.x": 110, + "__main__.main.y": 111 + } + }, + "hints": [], + "inst": { + "end_col": 47, + "end_line": 77, + "input_file": { + "filename": "cairo_programs/ec_double_assign_new_x_v3.cairo" + }, + "start_col": 5, + "start_line": 77 + } + }, + "243": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 112, + "__main__.main.r": 114, + "__main__.main.range_check_ptr": 113, + "__main__.main.x": 110, + "__main__.main.y": 111 + } + }, + "hints": [], + "inst": { + "end_col": 31, + "end_line": 12, + "input_file": { + "filename": "cairo_programs/ec_double_assign_new_x_v3.cairo" + }, + "parent_location": [ + { + "end_col": 27, + "end_line": 69, + "input_file": { + "filename": "cairo_programs/ec_double_assign_new_x_v3.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 64, + "input_file": { + "filename": "cairo_programs/ec_double_assign_new_x_v3.cairo" + }, + "parent_location": [ + { + "end_col": 15, + "end_line": 79, + "input_file": { + "filename": "cairo_programs/ec_double_assign_new_x_v3.cairo" + }, + "start_col": 5, + "start_line": 79 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 64 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 15, + "start_line": 69 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 16, + "start_line": 12 + } + }, + "244": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 1 + }, + "reference_ids": { + "__main__.main.p": 112, + "__main__.main.r": 114, + "__main__.main.range_check_ptr": 113, + "__main__.main.x": 110, + "__main__.main.y": 111 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 79, + "input_file": { + "filename": "cairo_programs/ec_double_assign_new_x_v3.cairo" + }, + "start_col": 5, + "start_line": 79 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "32": [ + { + "accessible_scopes": [ + "cairo_programs.compute_slope_v2", + "cairo_programs.compute_slope_v2.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\nto_assert = pack(ids.val, PRIME)\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": { + "cairo_programs.compute_slope_v2.verify_zero.q": 25, + "cairo_programs.compute_slope_v2.verify_zero.range_check_ptr": 24, + "cairo_programs.compute_slope_v2.verify_zero.val": 23 + } + } + } + ], + "93": [ + { + "accessible_scopes": [ + "cairo_programs.compute_doubling_slope_v2", + "cairo_programs.compute_doubling_slope_v2.compute_doubling_slope" + ], + "code": "from starkware.python.math_utils import ec_double_slope\nfrom starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n\n# Compute the slope.\nx = pack(ids.point.x, PRIME)\ny = pack(ids.point.y, PRIME)\nvalue = slope = ec_double_slope(point=(x, y), alpha=42204101795669822316448953119945047945709099015225996174933988943478124189485, p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "cairo_programs.compute_doubling_slope_v2.compute_doubling_slope.point": 62, + "cairo_programs.compute_doubling_slope_v2.compute_doubling_slope.range_check_ptr": 63 + } + } + } + ], + "168": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_double" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n\nslope = pack(ids.slope, PRIME)\nx = pack(ids.point.x, PRIME)\ny = pack(ids.point.y, PRIME)\n\nvalue = new_x = (pow(slope, 2, SECP_P) - 2 * x) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 111 + }, + "reference_ids": { + "__main__.ec_double.point": 85, + "__main__.ec_double.range_check_ptr": 87, + "__main__.ec_double.slope": 88, + "__main__.ec_double.slope_sqr": 89 + } + } + } + ], + "171": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_double" + ], + "code": "value = new_y = (slope * (x - new_x) - y) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 122 + }, + "reference_ids": { + "__main__.ec_double.new_x": 91, + "__main__.ec_double.point": 85, + "__main__.ec_double.range_check_ptr": 90, + "__main__.ec_double.slope": 88, + "__main__.ec_double.slope_sqr": 89 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "destination": "cairo_programs.compute_doubling_slope_v2.EcPoint", + "type": "alias" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.compute_doubling_slope": { + "destination": "cairo_programs.compute_doubling_slope_v2.compute_doubling_slope", + "type": "alias" + }, + "__main__.ec_double": { + "decorators": [], + "pc": 143, + "type": "function" + }, + "__main__.ec_double.Args": { + "full_name": "__main__.ec_double.Args", + "members": { + "point": { + "cairo_type": "cairo_programs.compute_doubling_slope_v2.EcPoint", + "offset": 0 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.ec_double.ImplicitArgs": { + "full_name": "__main__.ec_double.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.ec_double.Return": { + "cairo_type": "(res: cairo_programs.compute_doubling_slope_v2.EcPoint)", + "type": "type_definition" + }, + "__main__.ec_double.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.ec_double.__temp61": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp61", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 134 + }, + "pc": 175, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp62": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp62", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 135 + }, + "pc": 177, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp63": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp63", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 136 + }, + "pc": 178, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp64": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp64", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 137 + }, + "pc": 179, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp65": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp65", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 138 + 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a/cairo_programs/ec_double_slope.json b/cairo_programs/ec_double_slope.json index 7c6c8669..c4a229e0 100644 --- a/cairo_programs/ec_double_slope.json +++ b/cairo_programs/ec_double_slope.json @@ -244,7 +244,7 @@ "end_col": 7, "end_line": 73, "input_file": { - "filename": "/opt/homebrew/lib/python3.9/site-packages/starkware/cairo/common/cairo_secp/bigint.cairo" + "filename": "/Users/lana/github/cairo-vm/cairo-vm-env/lib/python3.9/site-packages/starkware/cairo/common/cairo_secp/bigint.cairo" }, "start_col": 5, "start_line": 69 @@ -256,7 +256,7 @@ "end_col": 39, "end_line": 76, "input_file": { - "filename": "/opt/homebrew/lib/python3.9/site-packages/starkware/cairo/common/cairo_secp/bigint.cairo" + "filename": "/Users/lana/github/cairo-vm/cairo-vm-env/lib/python3.9/site-packages/starkware/cairo/common/cairo_secp/bigint.cairo" }, "start_col": 32, "start_line": 76 @@ -283,7 +283,7 @@ "end_col": 58, "end_line": 76, "input_file": { - "filename": 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"parent_location": [ + { + "end_col": 26, + "end_line": 73, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 25, + "start_line": 73 + }, + "While expanding the reference 'p' in:" + ], + "start_col": 24, + "start_line": 72 + }, + "While expanding the reference 'y' in:" + ], + "start_col": 21, + "start_line": 71 + } + }, + "233": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 5 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.range_check_ptr": 97, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 26, + "end_line": 71, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 25, + "end_line": 72, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 73, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 25, + "start_line": 73 + }, + "While expanding the reference 'p' in:" + ], + "start_col": 24, + "start_line": 72 + }, + "While expanding the reference 'y' in:" + ], + "start_col": 24, + "start_line": 71 + } + }, + "235": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 6 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.range_check_ptr": 97, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 29, + "end_line": 71, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 25, + "end_line": 72, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 73, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 25, + "start_line": 73 + }, + "While expanding the reference 'p' in:" + ], + "start_col": 24, + "start_line": 72 + }, + "While expanding the reference 'y' in:" + ], + "start_col": 27, + "start_line": 71 + } + }, + "237": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 7 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.range_check_ptr": 97, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 27, + "end_line": 73, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 15, + "start_line": 73 + } + }, + "239": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 75, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 75 + } + }, + "241": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 76, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 76 + } + }, + "243": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 77, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 77 + } + }, + "245": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 79, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 79 + } + }, + "247": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 80, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 80 + } + }, + "249": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 81, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 81 + } + }, + "251": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 31, + "end_line": 19, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 27, + "end_line": 73, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 69, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "parent_location": [ + { + "end_col": 14, + "end_line": 83, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 83 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 69 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 15, + "start_line": 73 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 16, + "start_line": 19 + } + }, + "252": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 1 + }, + "reference_ids": { + "__main__.main.p": 100, + "__main__.main.r": 102, + "__main__.main.range_check_ptr": 101, + "__main__.main.x": 98, + "__main__.main.y": 99 + } + }, + "hints": [], + "inst": { + "end_col": 14, + "end_line": 83, + "input_file": { + "filename": "cairo_programs/ec_double_v4.cairo" + }, + "start_col": 5, + "start_line": 83 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "48": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.verify_zero.q": 35, + "starkware.cairo.common.cairo_secp.field.verify_zero.range_check_ptr": 34, + "starkware.cairo.common.cairo_secp.field.verify_zero.val": 33 + } + } + } + ], + "71": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nx = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + }, + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "memory[ap] = to_felt_or_relocatable(x == 0)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "86": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P\nfrom starkware.python.math_utils import div_mod\n\nvalue = x_inv = div_mod(1, x, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.__temp32": 48, + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "107": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.ec", + "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\nfrom starkware.python.math_utils import ec_double_slope\n\n# Compute the slope.\nx = pack(ids.point.x, PRIME)\ny = pack(ids.point.y, PRIME)\nvalue = slope = ec_double_slope(point=(x, y), alpha=0, p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope.point": 54, + "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope.range_check_ptr": 55 + } + } + } + ], + "176": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_double" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nslope = pack(ids.slope, PRIME)\nx = pack(ids.pt.x, PRIME)\ny = pack(ids.pt.y, PRIME)\n\nvalue = new_x = (pow(slope, 2, SECP_P) - 2 * x) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 108 + }, + "reference_ids": { + "__main__.ec_double.pt": 73, + "__main__.ec_double.range_check_ptr": 75, + "__main__.ec_double.slope": 76, + "__main__.ec_double.slope_sqr": 77 + } + } + } + ], + "179": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_double" + ], + "code": "value = new_y = (slope * (x - new_x) - y) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 119 + }, + "reference_ids": { + "__main__.ec_double.new_x": 79, + "__main__.ec_double.pt": 73, + "__main__.ec_double.range_check_ptr": 78, + "__main__.ec_double.slope": 76, + "__main__.ec_double.slope_sqr": 77 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "destination": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "type": "alias" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.compute_doubling_slope": { + "destination": "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope", + "type": "alias" + }, + "__main__.ec_double": { + "decorators": [], + "pc": 151, + "type": "function" + }, + "__main__.ec_double.Args": { + "full_name": "__main__.ec_double.Args", + "members": { + "pt": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "offset": 0 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.ec_double.ImplicitArgs": { + "full_name": "__main__.ec_double.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.ec_double.Return": { + "cairo_type": "(res: starkware.cairo.common.cairo_secp.ec.EcPoint)", + "type": "type_definition" + }, + "__main__.ec_double.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.ec_double.__temp45": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp45", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 131 + }, + "pc": 183, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp46": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp46", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 132 + }, + "pc": 185, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp47": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp47", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 133 + }, + "pc": 186, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp48": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp48", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 134 + }, + "pc": 187, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp49": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp49", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 135 + }, + "pc": 189, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp50": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp50", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 136 + }, + "pc": 190, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp51": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp51", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 137 + }, + "pc": 191, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp52": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp52", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 138 + }, + "pc": 193, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp53": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp53", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 139 + }, + "pc": 194, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp54": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp54", + "references": [ + { + "ap_tracking_data": { 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"cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 32, + "end_line": 99, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 31, + "start_line": 99 + }, + "While expanding the reference 'p' in:" + ], + "start_col": 45, + "start_line": 96 + } + }, + "86": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 33 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 27, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 26 + } + }, + "hints": [], + "inst": { + "end_col": 98, + "end_line": 96, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 32, + "end_line": 99, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 31, + "start_line": 99 + }, + "While expanding the reference 'p' in:" + ], + "start_col": 73, + "start_line": 96 + } + }, + "88": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 34 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 27, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 26 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 99, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 21, + "start_line": 99 + } + }, + "90": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 101, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 101 + } + }, + "92": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 102, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 102 + } + }, + "94": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 34, + "end_line": 103, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 103 + } + }, + "96": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 29, + "end_line": 105, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 105 + } + }, + "98": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 29, + "end_line": 106, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 106 + } + }, + "100": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 29, + "end_line": 107, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 107 + } + }, + "102": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 54 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 31, + "end_line": 58, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 33, + "end_line": 99, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 36, + "end_line": 81, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 15, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 109 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 21, + "start_line": 81 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 21, + "start_line": 99 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 16, + "start_line": 58 + } + }, + "103": { + "accessible_scopes": [ + "__main__", + "__main__.test_ec_negate" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 55 + }, + "reference_ids": { + "__main__.test_ec_negate.minus_p": 30, + "__main__.test_ec_negate.p": 28, + "__main__.test_ec_negate.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 109, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 109 + } + }, + "104": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 31 + } + }, + "hints": [], + "inst": { + "end_col": 26, + "end_line": 112, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 36, + "end_line": 81, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "parent_location": [ + { + "end_col": 21, + "end_line": 113, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 113 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 21, + "start_line": 81 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 112 + } + }, + "105": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 1 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 31 + } + }, + "hints": [], + "inst": { + "end_col": 21, + "end_line": 113, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 113 + } + }, + "107": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 58 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 32 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 114, + "input_file": { + "filename": "cairo_programs/ec_negate.cairo" + }, + "start_col": 5, + "start_line": 114 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "12": [ + { + "accessible_scopes": [ + "__main__", + "__main__.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\nto_assert = pack(ids.val, PRIME)\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "__main__.verify_zero.q": 9, + "__main__.verify_zero.range_check_ptr": 8, + "__main__.verify_zero.val": 7 + } + } + } + ], + "37": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_negate" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n\ny = pack(ids.point.y, PRIME) % SECP_P\n# The modulo operation in python always returns a nonnegative number.\nvalue = (-y) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": { + "__main__.ec_negate.point": 20, + "__main__.ec_negate.range_check_ptr": 21 + } + } + } + ] + }, + "identifiers": { + "__main__.BASE": { + "type": "const", + "value": 77371252455336267181195264 + }, + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "destination": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "type": "alias" + }, + "__main__.SECP_REM": { + "type": "const", + "value": 19 + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.ec_negate": { + "decorators": [], + "pc": 35, + "type": "function" + }, + "__main__.ec_negate.Args": { + "full_name": "__main__.ec_negate.Args", + "members": { + "point": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "offset": 0 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.ec_negate.ImplicitArgs": { + "full_name": "__main__.ec_negate.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.ec_negate.Return": { + "cairo_type": "(point: starkware.cairo.common.cairo_secp.ec.EcPoint)", + "type": "type_definition" + }, + "__main__.ec_negate.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.ec_negate.minus_y": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.ec_negate.minus_y", + "references": [ + { + "ap_tracking_data": { + "group": 2, + "offset": 11 + }, + "pc": 40, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.BigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.ec_negate.point": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.ec_negate.point", + "references": [ + { + "ap_tracking_data": { + "group": 2, + "offset": 0 + }, + "pc": 35, + "value": "[cast(fp + (-8), starkware.cairo.common.cairo_secp.ec.EcPoint*)]" + } + ], + "type": "reference" + }, + "__main__.ec_negate.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.ec_negate.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 2, + "offset": 0 + }, + "pc": 35, + "value": "[cast(fp + (-9), felt*)]" + }, + { + "ap_tracking_data": { + "group": 2, + "offset": 11 + }, + "pc": 40, + "value": "[cast(ap + (-4), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main": { + "decorators": [], + "pc": 104, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.main.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.main.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 4, + "offset": 0 + }, + "pc": 104, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 4, + "offset": 58 + }, + "pc": 107, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.nondet_bigint3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3", + "type": "alias" + }, + "__main__.test_ec_negate": { + "decorators": [], + "pc": 48, + "type": "function" + }, + "__main__.test_ec_negate.Args": { + "full_name": "__main__.test_ec_negate.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.test_ec_negate.ImplicitArgs": { + "full_name": "__main__.test_ec_negate.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.test_ec_negate.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.test_ec_negate.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.test_ec_negate.minus_p": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.test_ec_negate.minus_p", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 27 + }, + "pc": 63, + "value": "[cast(ap + (-6), starkware.cairo.common.cairo_secp.ec.EcPoint*)]" + }, + { + "ap_tracking_data": { + "group": 3, + "offset": 54 + }, + "pc": 90, + "value": "[cast(ap + (-6), starkware.cairo.common.cairo_secp.ec.EcPoint*)]" + } + ], + "type": "reference" + }, + "__main__.test_ec_negate.p": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.test_ec_negate.p", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 48, + "value": "cast(((1, 2, 3), (1, 2, 3)), starkware.cairo.common.cairo_secp.ec.EcPoint)" + }, + { + "ap_tracking_data": { + "group": 3, + "offset": 27 + }, + "pc": 75, + "value": "cast((\n (12424, 53151, 363737),\n (77371252455336267181195244, 77371252455336267181195261, 9671406556917033397649404),\n ), starkware.cairo.common.cairo_secp.ec.EcPoint)" + } + ], + "type": "reference" + }, + "__main__.test_ec_negate.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.test_ec_negate.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 48, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 3, + "offset": 27 + }, + "pc": 63, + "value": "[cast(ap + (-7), felt*)]" + }, + { + "ap_tracking_data": { + "group": 3, + "offset": 54 + }, + "pc": 90, + "value": "[cast(ap + (-7), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero": { + "decorators": [], + "pc": 12, + "type": "function" + }, + "__main__.verify_zero.Args": { + "full_name": "__main__.verify_zero.Args", + "members": { + "val": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "offset": 0 + } + }, + "size": 3, + "type": "struct" + }, + "__main__.verify_zero.ImplicitArgs": { + "full_name": "__main__.verify_zero.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.verify_zero.Return": { + "cairo_type": "()", + 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"start_line": 79 + } + }, + "105": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 24 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 27 + } + }, + "hints": [], + "inst": { + "end_col": 24, + "end_line": 80, + "input_file": { + "filename": "cairo_programs/ec_recover.cairo" + }, + "start_col": 5, + "start_line": 80 + } + }, + "107": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 44 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 28 + } + }, + "hints": [], + "inst": { + "end_col": 25, + "end_line": 81, + "input_file": { + "filename": "cairo_programs/ec_recover.cairo" + }, + "start_col": 5, + "start_line": 81 + } + }, + "109": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 78 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 29 + } + }, + "hints": [], + "inst": { + "end_col": 14, + "end_line": 82, + "input_file": { + "filename": "cairo_programs/ec_recover.cairo" + }, + "start_col": 5, + "start_line": 82 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "30": [ + { + "accessible_scopes": [ + "__main__", + "__main__.test_div_mod_n_packed_hint" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nfrom starkware.python.math_utils import div_mod, safe_div\n\nN = pack(ids.n, PRIME)\nx = pack(ids.x, PRIME) % N\ns = pack(ids.s, PRIME) % N\nvalue = res = div_mod(x, s, N)", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 9 + }, + "reference_ids": { + "__main__.test_div_mod_n_packed_hint.n": 8, + "__main__.test_div_mod_n_packed_hint.range_check_ptr": 7, + "__main__.test_div_mod_n_packed_hint.s": 10, + "__main__.test_div_mod_n_packed_hint.x": 9 + } + } + } + ], + "53": [ + { + "accessible_scopes": [ + "__main__", + "__main__.test_sub_a_b_hint" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nfrom starkware.python.math_utils import div_mod, safe_div\n\na = pack(ids.a, PRIME)\nb = pack(ids.b, PRIME)\n\nvalue = res = a - b", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 6 + }, + "reference_ids": { + "__main__.test_sub_a_b_hint.a": 14, + "__main__.test_sub_a_b_hint.b": 15, + "__main__.test_sub_a_b_hint.range_check_ptr": 13 + } + } + } + ], + "82": [ + { + "accessible_scopes": [ + "__main__", + "__main__.test_product_hints" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nfrom starkware.python.math_utils import div_mod, safe_div\n\na = pack(ids.a, PRIME)\nb = pack(ids.b, PRIME)\nproduct = a * b\nm = pack(ids.m, PRIME)\n\nvalue = res = product % m", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 9 + }, + "reference_ids": { + "__main__.test_product_hints.a": 19, + "__main__.test_product_hints.b": 20, + "__main__.test_product_hints.m": 21, + "__main__.test_product_hints.range_check_ptr": 18 + } + } + } + ], + "91": [ + { + "accessible_scopes": [ + "__main__", + "__main__.test_product_hints" + ], + "code": "value = k = product // m", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 20 + }, + "reference_ids": { + "__main__.test_product_hints.a": 19, + "__main__.test_product_hints.b": 20, + "__main__.test_product_hints.m": 21, + "__main__.test_product_hints.range_check_ptr": 22, + "__main__.test_product_hints.res": 23 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 102, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.main.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.main.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 4, + "offset": 0 + }, + "pc": 102, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 4, + "offset": 24 + }, + "pc": 105, + "value": "[cast(ap + (-1), felt*)]" + }, + { + "ap_tracking_data": { + "group": 4, + "offset": 44 + }, + "pc": 107, + "value": "[cast(ap + (-1), felt*)]" + }, + { + "ap_tracking_data": { + "group": 4, + "offset": 78 + }, + "pc": 109, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.nondet_bigint3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3", + "type": "alias" + }, + "__main__.test_div_mod_n_packed_hint": { + "decorators": [], + "pc": 12, + "type": "function" + }, + "__main__.test_div_mod_n_packed_hint.Args": { + "full_name": "__main__.test_div_mod_n_packed_hint.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.test_div_mod_n_packed_hint.ImplicitArgs": { + "full_name": "__main__.test_div_mod_n_packed_hint.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.test_div_mod_n_packed_hint.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.test_div_mod_n_packed_hint.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.test_div_mod_n_packed_hint.n": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.test_div_mod_n_packed_hint.n", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 3 + }, + "pc": 18, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.BigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.test_div_mod_n_packed_hint.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.test_div_mod_n_packed_hint.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 0 + }, + "pc": 12, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 1, + "offset": 20 + }, + 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"__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 93, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 39, + "end_line": 106, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 33, + "end_line": 108, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 41, + "end_line": 111, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 38, + "start_line": 111 + }, + "While expanding the reference 'pt1' in:" + ], + "start_col": 31, + "start_line": 108 + }, + "While expanding the reference 'y1' in:" + ], + "start_col": 37, + "start_line": 106 + } + }, + "227": { + "accessible_scopes": [ + "__main__", + "__main__.test_compute_slope" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 13 + }, + "reference_ids": { + "__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 93, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 42, + "end_line": 111, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 19, + "start_line": 111 + } + }, + "229": { + "accessible_scopes": [ + "__main__", + "__main__.test_compute_slope" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 74 + }, + "reference_ids": { + "__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 100, + "__main__.test_compute_slope.slope": 101, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 7, + "end_line": 115, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 113 + } + }, + "231": { + "accessible_scopes": [ + "__main__", + "__main__.test_compute_slope" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 74 + }, + "reference_ids": { + "__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 100, + "__main__.test_compute_slope.slope": 101, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 7, + "end_line": 115, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 113 + } + }, + "233": { + "accessible_scopes": [ + "__main__", + "__main__.test_compute_slope" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 74 + }, + "reference_ids": { + "__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 100, + "__main__.test_compute_slope.slope": 101, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 7, + "end_line": 115, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 113 + } + }, + "235": { + "accessible_scopes": [ + "__main__", + "__main__.test_compute_slope" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 74 + }, + "reference_ids": { + "__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 100, + "__main__.test_compute_slope.slope": 101, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 41, + "end_line": 55, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 42, + "end_line": 111, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 46, + "end_line": 99, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 15, + "end_line": 117, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 117 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 25, + "start_line": 99 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 19, + "start_line": 111 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 20, + "start_line": 55 + } + }, + "236": { + "accessible_scopes": [ + "__main__", + "__main__.test_compute_slope" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 75 + }, + "reference_ids": { + "__main__.test_compute_slope.pt0": 96, + "__main__.test_compute_slope.pt1": 99, + "__main__.test_compute_slope.range_check_ptr": 100, + "__main__.test_compute_slope.slope": 101, + "__main__.test_compute_slope.x0": 94, + "__main__.test_compute_slope.x1": 97, + "__main__.test_compute_slope.y0": 95, + "__main__.test_compute_slope.y1": 98 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 117, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 117 + } + }, + "237": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 0 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 102 + } + }, + "hints": [], + "inst": { + "end_col": 32, + "end_line": 120, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 53, + "end_line": 83, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "parent_location": [ + { + "end_col": 32, + "end_line": 121, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 121 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 32, + "start_line": 83 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 120 + } + }, + "238": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 1 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 102 + } + }, + "hints": [], + "inst": { + "end_col": 32, + "end_line": 121, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 121 + } + }, + "240": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 98 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 103 + } + }, + "hints": [], + "inst": { + "end_col": 25, + "end_line": 122, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 122 + } + }, + "242": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 175 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 104 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 124, + "input_file": { + "filename": "cairo_programs/ed25519_ec.cairo" + }, + "start_col": 5, + "start_line": 124 + } + } + } + }, + "hints": { + "4": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 3, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 4 + } + } + } + ], + "52": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.verify_zero.q": 38, + "starkware.cairo.common.cairo_secp.field.verify_zero.range_check_ptr": 37, + "starkware.cairo.common.cairo_secp.field.verify_zero.val": 36 + } + } + } + ], + "75": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nx = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 50, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 49 + } + } + }, + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "memory[ap] = to_felt_or_relocatable(x == 0)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 50, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 49 + } + } + } + ], + "90": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P\nfrom starkware.python.math_utils import div_mod\n\nvalue = x_inv = div_mod(1, x, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.__temp32": 51, + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 50, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 49 + } + } + } + ], + "111": [ + { + "accessible_scopes": [ + "__main__", + "__main__.compute_doubling_slope" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\nfrom starkware.python.math_utils import div_mod\n\n# Compute the slope.\nx = pack(ids.pt.x, PRIME)\ny = pack(ids.pt.y, PRIME)\nvalue = slope = div_mod(3 * x ** 2, 2 * y, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 0 + }, + "reference_ids": { + "__main__.compute_doubling_slope.pt": 57, + "__main__.compute_doubling_slope.range_check_ptr": 58 + } + } + } + ], + "155": [ + { + "accessible_scopes": [ + "__main__", + "__main__.compute_slope" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\nfrom starkware.python.math_utils import div_mod\n\n# Compute the slope.\nx0 = pack(ids.pt0.x, PRIME)\ny0 = pack(ids.pt0.y, PRIME)\nx1 = pack(ids.pt1.x, PRIME)\ny1 = pack(ids.pt1.y, PRIME)\nvalue = slope = div_mod(y0 - y1, x0 - x1, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 0 + }, + "reference_ids": { + "__main__.compute_slope.pt0": 76, + "__main__.compute_slope.pt1": 77, + "__main__.compute_slope.range_check_ptr": 78 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "full_name": "__main__.EcPoint", + "members": { + "x": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 0 + }, + "y": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "offset": 3 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.compute_doubling_slope": { + "decorators": [], + "pc": 111, + "type": "function" + }, + "__main__.compute_doubling_slope.Args": { + "full_name": "__main__.compute_doubling_slope.Args", + "members": { + "pt": { + "cairo_type": "__main__.EcPoint", + "offset": 0 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.compute_doubling_slope.ImplicitArgs": { + "full_name": "__main__.compute_doubling_slope.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.compute_doubling_slope.Return": { + "cairo_type": "(slope: starkware.cairo.common.cairo_secp.bigint.BigInt3)", + "type": "type_definition" + }, + "__main__.compute_doubling_slope.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.compute_doubling_slope.__temp33": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp33", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 54 + }, + "pc": 129, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp34": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp34", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 55 + }, + "pc": 130, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp35": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp35", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 56 + }, + "pc": 132, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp36": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp36", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 57 + }, + "pc": 133, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp37": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp37", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 58 + }, + "pc": 135, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp38": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp38", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 59 + }, + "pc": 136, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp39": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp39", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 60 + }, + "pc": 138, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp40": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp40", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 61 + }, + "pc": 139, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp41": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp41", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 62 + }, + "pc": 141, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp42": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp42", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 63 + }, + "pc": 142, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp43": { + "cairo_type": "felt", + "full_name": "__main__.compute_doubling_slope.__temp43", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 64 + }, + "pc": 144, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.compute_doubling_slope.__temp44": { + "cairo_type": "felt", + "full_name": 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"end_col": 24, + "end_line": 110, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 21, + "start_line": 110 + }, + "While expanding the reference 'val' in:" + ], + "start_col": 35, + "start_line": 108 + } + }, + "79": { + "accessible_scopes": [ + "__main__", + "__main__.test_verify_zero_alt" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 3 + }, + "reference_ids": { + "__main__.test_verify_zero_alt.range_check_ptr": 40, + "__main__.test_verify_zero_alt.val": 41 + } + }, + "hints": [], + "inst": { + "end_col": 39, + "end_line": 108, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "parent_location": [ + { + "end_col": 24, + "end_line": 110, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 21, + "start_line": 110 + }, + "While expanding the reference 'val' in:" + ], + "start_col": 38, + "start_line": 108 + } + }, + "81": { + "accessible_scopes": [ + "__main__", + "__main__.test_verify_zero_alt" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 4 + }, + "reference_ids": { + "__main__.test_verify_zero_alt.range_check_ptr": 40, + "__main__.test_verify_zero_alt.val": 41 + } + }, + "hints": [], + "inst": { + "end_col": 25, + "end_line": 110, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 5, + "start_line": 110 + } + }, + "83": { + "accessible_scopes": [ + "__main__", + "__main__.test_verify_zero_alt" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 28 + }, + "reference_ids": { + "__main__.test_verify_zero_alt.range_check_ptr": 42, + "__main__.test_verify_zero_alt.val": 41 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 112, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 5, + "start_line": 112 + } + }, + "84": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 43 + } + }, + "hints": [], + "inst": { + "end_col": 32, + "end_line": 115, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "parent_location": [ + { + "end_col": 44, + "end_line": 99, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "parent_location": [ + { + "end_col": 23, + "end_line": 116, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 5, + "start_line": 116 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 23, + "start_line": 99 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 115 + } + }, + "85": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 1 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 43 + } + }, + "hints": [], + "inst": { + "end_col": 23, + "end_line": 116, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 5, + "start_line": 116 + } + }, + "87": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 31 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 44 + } + }, + "hints": [], + "inst": { + "end_col": 27, + "end_line": 117, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 5, + "start_line": 117 + } + }, + "89": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 61 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 45 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 119, + "input_file": { + "filename": "cairo_programs/ed25519_field.cairo" + }, + "start_col": 5, + "start_line": 119 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "12": [ + { + "accessible_scopes": [ + "__main__", + "__main__.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nvalue = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": { + "__main__.verify_zero.range_check_ptr": 8, + "__main__.verify_zero.val": 7, + "__main__.verify_zero.x": 9 + } + } + } + ], + "15": [ + { + "accessible_scopes": [ + "__main__", + "__main__.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 11 + }, + "reference_ids": { + "__main__.verify_zero.q": 11, + "__main__.verify_zero.range_check_ptr": 10, + "__main__.verify_zero.val": 7, + "__main__.verify_zero.x": 9 + } + } + } + ], + "38": [ + { + "accessible_scopes": [ + "__main__", + "__main__.verify_zero_alt" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nvalue = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": { + "__main__.verify_zero_alt.range_check_ptr": 23, + "__main__.verify_zero_alt.val": 22, + "__main__.verify_zero_alt.x": 24 + } + } + } + ], + "41": [ + { + "accessible_scopes": [ + "__main__", + "__main__.verify_zero_alt" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\n\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 11 + }, + "reference_ids": { + "__main__.verify_zero_alt.q": 26, + "__main__.verify_zero_alt.range_check_ptr": 25, + "__main__.verify_zero_alt.val": 22, + "__main__.verify_zero_alt.x": 24 + } + } + } + ] + }, + "identifiers": { + "__main__.BASE": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BASE", + "type": "alias" + }, + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.SECP_REM": { + "destination": "starkware.cairo.common.cairo_secp.constants.SECP_REM", + "type": "alias" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 84, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.main.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.main.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 5, + "offset": 0 + }, + "pc": 84, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 5, + "offset": 31 + }, + "pc": 87, + "value": "[cast(ap + (-1), felt*)]" + }, + { + "ap_tracking_data": { + "group": 5, + "offset": 61 + }, + "pc": 89, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.nondet_bigint3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3", + "type": "alias" + }, + "__main__.test_verify_zero": { + "decorators": [], + "pc": 64, + "type": "function" + }, + "__main__.test_verify_zero.Args": { + "full_name": "__main__.test_verify_zero.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.test_verify_zero.ImplicitArgs": { + "full_name": "__main__.test_verify_zero.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.test_verify_zero.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.test_verify_zero.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.test_verify_zero.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.test_verify_zero.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 64, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 3, + "offset": 28 + }, + "pc": 73, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.test_verify_zero.val": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "full_name": "__main__.test_verify_zero.val", + "references": [ + { + "ap_tracking_data": { + "group": 3, + "offset": 0 + }, + "pc": 64, + "value": "cast((0, 0, 0), starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3)" + } + ], + "type": "reference" + }, + "__main__.test_verify_zero_alt": { + "decorators": [], + "pc": 74, + "type": "function" + }, + "__main__.test_verify_zero_alt.Args": { + "full_name": "__main__.test_verify_zero_alt.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.test_verify_zero_alt.ImplicitArgs": { + "full_name": "__main__.test_verify_zero_alt.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.test_verify_zero_alt.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.test_verify_zero_alt.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.test_verify_zero_alt.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.test_verify_zero_alt.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 4, + "offset": 0 + }, + "pc": 74, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 4, + "offset": 28 + }, + "pc": 83, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.test_verify_zero_alt.val": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "full_name": "__main__.test_verify_zero_alt.val", + "references": [ + { + "ap_tracking_data": { + "group": 4, + "offset": 0 + }, + "pc": 74, + "value": "cast((0, 0, 0), starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3)" + } + ], + "type": "reference" + }, + "__main__.verify_zero": { + "decorators": [], + "pc": 12, + "type": "function" + }, + "__main__.verify_zero.Args": { + "full_name": "__main__.verify_zero.Args", + "members": { + "val": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "offset": 0 + } + }, + "size": 3, + "type": "struct" + }, + "__main__.verify_zero.ImplicitArgs": { + "full_name": "__main__.verify_zero.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.verify_zero.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.verify_zero.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.verify_zero.__temp4": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.__temp4", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 14 + }, + "pc": 20, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.__temp5": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.__temp5", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 15 + }, + "pc": 21, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.__temp6": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.__temp6", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 17 + }, + "pc": 25, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.__temp7": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.__temp7", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 18 + }, + "pc": 27, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.__temp8": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.__temp8", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 20 + }, + "pc": 31, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.__temp9": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.__temp9", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 21 + }, + "pc": 34, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.q": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.q", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 11 + }, + "pc": 15, + "value": "[cast(ap, felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.q_biased": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.q_biased", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 11 + }, + "pc": 15, + "value": "[cast(ap + 1, felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.r1": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.r1", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 16 + }, + "pc": 23, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.r2": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.r2", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 19 + }, + "pc": 29, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 0 + }, + "pc": 12, + "value": "[cast(fp + (-6), felt*)]" + }, + { + "ap_tracking_data": { + "group": 1, + "offset": 11 + }, + "pc": 15, + "value": "[cast(ap + (-4), felt*)]" + }, + { + "ap_tracking_data": { + "group": 1, + "offset": 21 + }, + "pc": 35, + "value": "cast([ap + (-14)] + 3, felt)" + } + ], + "type": "reference" + }, + "__main__.verify_zero.val": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "full_name": "__main__.verify_zero.val", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 0 + }, + "pc": 12, + "value": "[cast(fp + (-5), starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero.x": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "full_name": "__main__.verify_zero.x", + "references": [ + { + "ap_tracking_data": { + "group": 1, + "offset": 0 + }, + "pc": 12, + "value": "[cast(fp + (-5), starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.verify_zero_alt": { + "decorators": [], + "pc": 38, + "type": "function" + }, + "__main__.verify_zero_alt.Args": { + "full_name": "__main__.verify_zero_alt.Args", + "members": { + "val": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "offset": 0 + } + }, + "size": 3, + "type": "struct" + }, + "__main__.verify_zero_alt.ImplicitArgs": { + "full_name": "__main__.verify_zero_alt.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.verify_zero_alt.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.verify_zero_alt.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.verify_zero_alt.__temp10": { + "cairo_type": "felt", + "full_name": "__main__.verify_zero_alt.__temp10", + "references": [ + { + "ap_tracking_data": { + 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"end_line": 82, + "input_file": { + "filename": "cairo_programs/efficient_secp256r1_ec.cairo" + }, + "start_col": 5, + "start_line": 82 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "48": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.verify_zero.q": 35, + "starkware.cairo.common.cairo_secp.field.verify_zero.range_check_ptr": 34, + "starkware.cairo.common.cairo_secp.field.verify_zero.val": 33 + } + } + } + ], + "71": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nx = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + }, + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "memory[ap] = to_felt_or_relocatable(x == 0)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "86": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P\nfrom starkware.python.math_utils import div_mod\n\nvalue = x_inv = div_mod(1, x, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.__temp32": 48, + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "107": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.ec", + "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\nfrom starkware.python.math_utils import ec_double_slope\n\n# Compute the slope.\nx = pack(ids.point.x, PRIME)\ny = pack(ids.point.y, PRIME)\nvalue = slope = ec_double_slope(point=(x, y), alpha=0, p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope.point": 54, + "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope.range_check_ptr": 55 + } + } + } + ], + "176": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_double" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\n\nslope = pack(ids.slope, PRIME)\nx = pack(ids.point.x, PRIME)\ny = pack(ids.point.y, PRIME)\n\nvalue = new_x = (pow(slope, 2, SECP_P) - 2 * x) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 108 + }, + "reference_ids": { + "__main__.ec_double.point": 73, + "__main__.ec_double.range_check_ptr": 75, + "__main__.ec_double.slope": 76, + "__main__.ec_double.slope_sqr": 77 + } + } + } + ], + "179": [ + { + "accessible_scopes": [ + "__main__", + "__main__.ec_double" + ], + "code": "value = new_y = (slope * (x - new_x) - y) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 119 + }, + "reference_ids": { + "__main__.ec_double.new_x": 79, + "__main__.ec_double.point": 73, + "__main__.ec_double.range_check_ptr": 78, + "__main__.ec_double.slope": 76, + "__main__.ec_double.slope_sqr": 77 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "destination": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "type": "alias" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.compute_doubling_slope": { + "destination": "starkware.cairo.common.cairo_secp.ec.compute_doubling_slope", + "type": "alias" + }, + "__main__.ec_double": { + "decorators": [], + "pc": 151, + "type": "function" + }, + "__main__.ec_double.Args": { + "full_name": "__main__.ec_double.Args", + "members": { + "point": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "offset": 0 + } + }, + "size": 6, + "type": "struct" + }, + "__main__.ec_double.ImplicitArgs": { + "full_name": "__main__.ec_double.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.ec_double.Return": { + "cairo_type": "(res: starkware.cairo.common.cairo_secp.ec.EcPoint)", + "type": "type_definition" + }, + "__main__.ec_double.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.ec_double.__temp45": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp45", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 131 + }, + "pc": 183, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp46": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp46", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 132 + }, + "pc": 185, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp47": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp47", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 133 + }, + "pc": 186, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp48": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp48", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 134 + }, + "pc": 187, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp49": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp49", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 135 + }, + "pc": 189, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp50": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp50", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 136 + }, + "pc": 190, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp51": { + "cairo_type": "felt", + "full_name": "__main__.ec_double.__temp51", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 137 + }, + "pc": 191, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.ec_double.__temp52": { + "cairo_type": "felt", + "full_name": 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a/cairo_programs/example_blake2s.json b/cairo_programs/example_blake2s.json index 628dfb5b..456cbeb4 100644 --- a/cairo_programs/example_blake2s.json +++ b/cairo_programs/example_blake2s.json @@ -1081,7 +1081,7 @@ "end_col": 73, "end_line": 7, "input_file": { - "filename": "/opt/homebrew/lib/python3.9/site-packages/starkware/cairo/lang/compiler/lib/registers.cairo" + "filename": "/Users/lana/github/cairo-vm/cairo-vm-env/lib/python3.9/site-packages/starkware/cairo/lang/compiler/lib/registers.cairo" }, "start_col": 5, "start_line": 7 @@ -1104,7 +1104,7 @@ "end_col": 43, "end_line": 16, "input_file": { - "filename": "/opt/homebrew/lib/python3.9/site-packages/starkware/cairo/lang/compiler/lib/registers.cairo" + "filename": "/Users/lana/github/cairo-vm/cairo-vm-env/lib/python3.9/site-packages/starkware/cairo/lang/compiler/lib/registers.cairo" }, "start_col": 28, "start_line": 16 @@ -1130,7 +1130,7 @@ "end_col": 30, "end_line": 17, "input_file": { - "filename": 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"inst": { + "end_col": 39, + "end_line": 43, + "input_file": { + "filename": "cairo_programs/example_program.cairo" + }, + "start_col": 5, + "start_line": 43 + } + }, + "54": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 22 + }, + "reference_ids": { + "__main__.main.range_check_ptr": 19, + "__main__.main.x": 13, + "__main__.main.y": 14 + } + }, + "hints": [], + "inst": { + "end_col": 14, + "end_line": 37, + "input_file": { + "filename": "cairo_programs/example_program.cairo" + }, + "parent_location": [ + { + "end_col": 38, + "end_line": 44, + "input_file": { + "filename": "cairo_programs/example_program.cairo" + }, + "start_col": 37, + "start_line": 44 + }, + "While expanding the reference 'y' in:" + ], + "start_col": 13, + "start_line": 37 + } + }, + "55": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 23 + }, 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+ "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 31, + "end_line": 88, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 35, + "end_line": 90, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 32, + "start_line": 90 + }, + "While expanding the reference 'p_1' in:" + ], + "start_col": 28, + "start_line": 88 + }, + "While expanding the reference 'y_1' in:" + ], + "start_col": 23, + "start_line": 87 + } + }, + "288": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 11 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.range_check_ptr": 118, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 28, + "end_line": 87, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 31, + "end_line": 88, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 35, + "end_line": 90, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 32, + "start_line": 90 + }, + "While expanding the reference 'p_1' in:" + ], + "start_col": 28, + "start_line": 88 + }, + "While expanding the reference 'y_1' in:" + ], + "start_col": 26, + "start_line": 87 + } + }, + "290": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 12 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.range_check_ptr": 118, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 31, + "end_line": 87, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 31, + "end_line": 88, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 35, + "end_line": 90, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 32, + "start_line": 90 + }, + "While expanding the reference 'p_1' in:" + ], + "start_col": 28, + "start_line": 88 + }, + "While expanding the reference 'y_1' in:" + ], + "start_col": 29, + "start_line": 87 + } + }, + "292": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 13 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.range_check_ptr": 118, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 36, + "end_line": 90, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 15, + "start_line": 90 + } + }, + "294": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 92, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 92 + } + }, + "296": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 48, + "end_line": 93, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 93 + } + }, + "298": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 47, + "end_line": 94, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 94 + } + }, + "300": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 23, + "end_line": 96, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 96 + } + }, + "302": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 23, + "end_line": 97, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 97 + } + }, + "304": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 23, + "end_line": 98, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 98 + } + }, + "306": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 19, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 36, + "end_line": 90, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 26, + "end_line": 81, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "parent_location": [ + { + "end_col": 15, + "end_line": 100, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 100 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 81 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 15, + "start_line": 90 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 18, + "start_line": 19 + } + }, + "307": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 1 + }, + "reference_ids": { + "__main__.main.p_0": 121, + "__main__.main.p_1": 124, + "__main__.main.r": 126, + "__main__.main.range_check_ptr": 125, + "__main__.main.x_0": 119, + "__main__.main.x_1": 122, + "__main__.main.y_0": 120, + "__main__.main.y_1": 123 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 100, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v2.cairo" + }, + "start_col": 5, + "start_line": 100 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "48": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.verify_zero.q": 35, + "starkware.cairo.common.cairo_secp.field.verify_zero.range_check_ptr": 34, + "starkware.cairo.common.cairo_secp.field.verify_zero.val": 33 + } + } + } + ], + "71": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nx = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + }, + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "memory[ap] = to_felt_or_relocatable(x == 0)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "86": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P\nfrom starkware.python.math_utils import div_mod\n\nvalue = x_inv = div_mod(1, x, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.__temp32": 48, + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "109": [ + { + "accessible_scopes": [ + "cairo_programs.compute_slope_v2", + "cairo_programs.compute_slope_v2.compute_slope" + ], + "code": "from starkware.python.math_utils import line_slope\nfrom starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n# Compute the slope.\nx0 = pack(ids.point0.x, PRIME)\ny0 = pack(ids.point0.y, PRIME)\nx1 = pack(ids.point1.x, PRIME)\ny1 = pack(ids.point1.y, PRIME)\nvalue = slope = line_slope(point1=(x0, y0), point2=(x1, y1), p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 4 + }, + "reference_ids": { + "cairo_programs.compute_slope_v2.compute_slope.point0": 54, + "cairo_programs.compute_slope_v2.compute_slope.point1": 55, + "cairo_programs.compute_slope_v2.compute_slope.range_check_ptr": 56 + } + } + } + ], + "157": [ + { + "accessible_scopes": [ + "cairo_programs.compute_slope_v2", + "cairo_programs.compute_slope_v2.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\nto_assert = pack(ids.val, PRIME)\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 0 + }, + "reference_ids": { + "cairo_programs.compute_slope_v2.verify_zero.q": 85, + "cairo_programs.compute_slope_v2.verify_zero.range_check_ptr": 84, + "cairo_programs.compute_slope_v2.verify_zero.val": 83 + } + } + } + ], + "225": [ + { + "accessible_scopes": [ + "__main__", + "__main__.fast_ec_add" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import pack\nSECP_P = 2**255-19\n\nslope = pack(ids.slope, PRIME)\nx0 = pack(ids.point0.x, PRIME)\nx1 = pack(ids.point1.x, PRIME)\ny0 = pack(ids.point0.y, PRIME)\n\nvalue = new_x = (pow(slope, 2, SECP_P) - x0 - x1) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 14 + }, + "reference_ids": { + "__main__.fast_ec_add.point0": 96, + "__main__.fast_ec_add.point1": 97, + "__main__.fast_ec_add.range_check_ptr": 99, + "__main__.fast_ec_add.slope": 100, + "__main__.fast_ec_add.slope_sqr": 101 + } + } + } + ], + "228": [ + { + "accessible_scopes": [ + "__main__", + "__main__.fast_ec_add" + ], + "code": "value = new_y = (slope * (x0 - new_x) - y0) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 25 + }, + "reference_ids": { + "__main__.fast_ec_add.new_x": 103, + "__main__.fast_ec_add.point0": 96, + "__main__.fast_ec_add.point1": 97, + "__main__.fast_ec_add.range_check_ptr": 102, + "__main__.fast_ec_add.slope": 100, + "__main__.fast_ec_add.slope_sqr": 101 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "destination": "cairo_programs.compute_slope_v2.EcPoint", + "type": "alias" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.compute_slope": { + "destination": "cairo_programs.compute_slope_v2.compute_slope", + "type": "alias" + }, + "__main__.fast_ec_add": { + "decorators": [], + "pc": 180, + "type": "function" + }, + "__main__.fast_ec_add.Args": { + "full_name": "__main__.fast_ec_add.Args", + "members": { + "point0": { + "cairo_type": "cairo_programs.compute_slope_v2.EcPoint", + "offset": 0 + }, + "point1": { + "cairo_type": "cairo_programs.compute_slope_v2.EcPoint", + "offset": 6 + } + }, + "size": 12, + "type": "struct" + }, + "__main__.fast_ec_add.ImplicitArgs": { + "full_name": "__main__.fast_ec_add.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.fast_ec_add.Return": { + "cairo_type": "(res: cairo_programs.compute_slope_v2.EcPoint)", + "type": "type_definition" + }, + "__main__.fast_ec_add.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.fast_ec_add.__temp56": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp56", + "references": [ + { + "ap_tracking_data": { + "group": 11, + "offset": 37 + }, + "pc": 232, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + 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"start_col": 5, + "start_line": 100 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 81 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 15, + "start_line": 90 + }, + "While trying to update the implicit return value 'range_check_ptr' in:" + ], + "start_col": 18, + "start_line": 20 + } + }, + "258": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 1 + }, + "reference_ids": { + "__main__.main.p_0": 90, + "__main__.main.p_1": 93, + "__main__.main.r": 95, + "__main__.main.range_check_ptr": 94, + "__main__.main.x_0": 88, + "__main__.main.x_1": 91, + "__main__.main.y_0": 89, + "__main__.main.y_1": 92 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 100, + "input_file": { + "filename": "cairo_programs/fast_ec_add_v3.cairo" + }, + "start_col": 5, + "start_line": 100 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 0, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 1 + } + } + } + ], + "48": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.verify_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nq, r = divmod(pack(ids.val, PRIME), SECP_P)\nassert r == 0, f\"verify_zero: Invalid input {ids.val.d0, ids.val.d1, ids.val.d2}.\"\nids.q = q % PRIME", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.verify_zero.q": 35, + "starkware.cairo.common.cairo_secp.field.verify_zero.range_check_ptr": 34, + "starkware.cairo.common.cairo_secp.field.verify_zero.val": 33 + } + } + } + ], + "71": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nx = pack(ids.x, PRIME) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + }, + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "memory[ap] = to_felt_or_relocatable(x == 0)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "86": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.field", + "starkware.cairo.common.cairo_secp.field.is_zero" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P\nfrom starkware.python.math_utils import div_mod\n\nvalue = x_inv = div_mod(1, x, SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.field.is_zero.__temp32": 48, + "starkware.cairo.common.cairo_secp.field.is_zero.range_check_ptr": 47, + "starkware.cairo.common.cairo_secp.field.is_zero.x": 46 + } + } + } + ], + "107": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.ec", + "starkware.cairo.common.cairo_secp.ec.compute_slope" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\nfrom starkware.python.math_utils import line_slope\n\n# Compute the slope.\nx0 = pack(ids.point0.x, PRIME)\ny0 = pack(ids.point0.y, PRIME)\nx1 = pack(ids.point1.x, PRIME)\ny1 = pack(ids.point1.y, PRIME)\nvalue = slope = line_slope(point1=(x0, y0), point2=(x1, y1), p=SECP_P)", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.ec.compute_slope.point0": 54, + "starkware.cairo.common.cairo_secp.ec.compute_slope.point1": 55, + "starkware.cairo.common.cairo_secp.ec.compute_slope.range_check_ptr": 56 + } + } + } + ], + "176": [ + { + "accessible_scopes": [ + "__main__", + "__main__.fast_ec_add" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import SECP_P, pack\n\nslope = pack(ids.slope, PRIME)\nx0 = pack(ids.pt0.x, PRIME)\nx1 = pack(ids.pt1.x, PRIME)\ny0 = pack(ids.pt0.y, PRIME)\n\nvalue = new_x = (pow(slope, 2, SECP_P) - x0 - x1) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 88 + }, + "reference_ids": { + "__main__.fast_ec_add.pt0": 65, + "__main__.fast_ec_add.pt1": 66, + "__main__.fast_ec_add.range_check_ptr": 68, + "__main__.fast_ec_add.slope": 69, + "__main__.fast_ec_add.slope_sqr": 70 + } + } + } + ], + "179": [ + { + "accessible_scopes": [ + "__main__", + "__main__.fast_ec_add" + ], + "code": "value = new_y = (slope * (x0 - new_x) - y0) % SECP_P", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 99 + }, + "reference_ids": { + "__main__.fast_ec_add.new_x": 72, + "__main__.fast_ec_add.pt0": 65, + "__main__.fast_ec_add.pt1": 66, + "__main__.fast_ec_add.range_check_ptr": 71, + "__main__.fast_ec_add.slope": 69, + "__main__.fast_ec_add.slope_sqr": 70 + } + } + } + ] + }, + "identifiers": { + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.EcPoint": { + "destination": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "type": "alias" + }, + "__main__.UnreducedBigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "type": "alias" + }, + "__main__.compute_slope": { + "destination": "starkware.cairo.common.cairo_secp.ec.compute_slope", + "type": "alias" + }, + "__main__.fast_ec_add": { + "decorators": [], + "pc": 131, + "type": "function" + }, + "__main__.fast_ec_add.Args": { + "full_name": "__main__.fast_ec_add.Args", + "members": { + "pt0": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "offset": 0 + }, + "pt1": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "offset": 6 + } + }, + "size": 12, + "type": "struct" + }, + "__main__.fast_ec_add.ImplicitArgs": { + "full_name": "__main__.fast_ec_add.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.fast_ec_add.Return": { + "cairo_type": "(res: starkware.cairo.common.cairo_secp.ec.EcPoint)", + "type": "type_definition" + }, + "__main__.fast_ec_add.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.fast_ec_add.__temp36": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp36", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 111 + }, + "pc": 183, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp37": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp37", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 112 + }, + "pc": 184, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp38": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp38", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 113 + }, + "pc": 185, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp39": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp39", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 114 + }, + "pc": 186, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp40": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp40", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 115 + }, + "pc": 187, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp41": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp41", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 116 + }, + "pc": 188, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp42": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp42", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 159 + }, + "pc": 203, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp43": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp43", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 160 + }, + "pc": 204, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.__temp44": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.__temp44", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 161 + }, + "pc": 205, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.new_x": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.fast_ec_add.new_x", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 99 + }, + "pc": 179, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.BigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.new_y": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.fast_ec_add.new_y", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 110 + }, + "pc": 182, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.BigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.pt0": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.fast_ec_add.pt0", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 0 + }, + "pc": 131, + "value": "[cast(fp + (-14), starkware.cairo.common.cairo_secp.ec.EcPoint*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.pt1": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.fast_ec_add.pt1", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 0 + }, + "pc": 131, + "value": "[cast(fp + (-8), starkware.cairo.common.cairo_secp.ec.EcPoint*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.fast_ec_add.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 0 + }, + "pc": 131, + "value": "[cast(fp + (-15), felt*)]" + }, + { + "ap_tracking_data": { + "group": 6, + "offset": 74 + }, + "pc": 174, + "value": "[cast(ap + (-4), felt*)]" + }, + { + "ap_tracking_data": { + "group": 6, + "offset": 99 + }, + "pc": 179, + "value": "[cast(ap + (-4), felt*)]" + }, + { + "ap_tracking_data": { + "group": 6, + "offset": 110 + }, + "pc": 182, + "value": "[cast(ap + (-4), felt*)]" + }, + { + "ap_tracking_data": { + "group": 6, + "offset": 133 + }, + "pc": 194, + "value": "[cast(ap + (-1), felt*)]" + }, + { + "ap_tracking_data": { + "group": 6, + "offset": 178 + }, + "pc": 211, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.slope": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.fast_ec_add.slope", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 74 + }, + "pc": 174, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.BigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.slope_sqr": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "full_name": "__main__.fast_ec_add.slope_sqr", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 88 + }, + "pc": 176, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.fast_ec_add.x_diff_slope": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3", + "full_name": "__main__.fast_ec_add.x_diff_slope", + "references": [ + { + "ap_tracking_data": { + "group": 6, + "offset": 158 + }, + "pc": 202, + "value": "[cast(ap + (-3), starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt3*)]" + } + ], + "type": "reference" + }, + "__main__.is_zero": { + "destination": "starkware.cairo.common.cairo_secp.field.is_zero", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 218, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.main.p_0": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.main.p_0", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "cast(((1, 2, 3), (4, 5, 6)), starkware.cairo.common.cairo_secp.ec.EcPoint)" + } + ], + "type": "reference" + }, + "__main__.main.p_1": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.main.p_1", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "cast(((7, 8, 9), (10, 11, 12)), starkware.cairo.common.cairo_secp.ec.EcPoint)" + } + ], + "type": "reference" + }, + "__main__.main.r": { + "cairo_type": "starkware.cairo.common.cairo_secp.ec.EcPoint", + "full_name": "__main__.main.r", + "references": [ + { + "ap_tracking_data": { + "group": 8, + "offset": 0 + }, + "pc": 245, + "value": "[cast(ap + (-6), starkware.cairo.common.cairo_secp.ec.EcPoint*)]" + } + ], + "type": "reference" + }, + "__main__.main.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.main.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "[cast(fp + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 8, + "offset": 0 + }, + "pc": 245, + "value": "[cast(ap + (-7), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.x_0": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.main.x_0", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "cast((1, 2, 3), starkware.cairo.common.cairo_secp.bigint.BigInt3)" + } + ], + "type": "reference" + }, + "__main__.main.x_1": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.main.x_1", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "cast((7, 8, 9), starkware.cairo.common.cairo_secp.bigint.BigInt3)" + } + ], + "type": "reference" + }, + "__main__.main.y_0": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.main.y_0", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "cast((4, 5, 6), starkware.cairo.common.cairo_secp.bigint.BigInt3)" + } + ], + "type": "reference" + }, + "__main__.main.y_1": { + "cairo_type": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "full_name": "__main__.main.y_1", + "references": [ + { + "ap_tracking_data": { + "group": 7, + "offset": 0 + }, + "pc": 218, + "value": "cast((10, 11, 12), starkware.cairo.common.cairo_secp.bigint.BigInt3)" + } + ], + "type": "reference" + }, + "__main__.nondet_bigint3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3", + "type": "alias" + }, + "__main__.unreduced_mul": { + "destination": "starkware.cairo.common.cairo_secp.field.unreduced_mul", + "type": "alias" + }, + "__main__.unreduced_sqr": { + "destination": "starkware.cairo.common.cairo_secp.field.unreduced_sqr", + "type": "alias" + }, + "__main__.verify_zero": { + "destination": "starkware.cairo.common.cairo_secp.ec.verify_zero", + "type": "alias" + }, + "starkware.cairo.common.bitwise.ALL_ONES": { + "type": "const", + "value": -106710729501573572985208420194530329073740042555888586719234 + }, + "starkware.cairo.common.bitwise.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "starkware.cairo.common.bool.FALSE": { + "type": "const", + "value": 0 + }, + "starkware.cairo.common.bool.TRUE": { + "type": "const", + "value": 1 + }, + "starkware.cairo.common.cairo_builtins.BitwiseBuiltin": { + "full_name": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "members": { + "x": { + "cairo_type": "felt", + "offset": 0 + }, + "x_and_y": { + "cairo_type": "felt", + "offset": 2 + }, + "x_or_y": { + "cairo_type": "felt", + "offset": 4 + }, + "x_xor_y": { + "cairo_type": "felt", + "offset": 3 + }, + "y": { + "cairo_type": "felt", + "offset": 1 + } + }, + "size": 5, + "type": "struct" + }, + 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"__main__.main.__temp149": 450, + "__main__.main.__temp150": 451, + "__main__.main.__temp151": 452, + "__main__.main.bitwise_ptr": 448, + "__main__.main.blake2s_ptr": 457, + "__main__.main.blake2s_ptr_start": 454, + "__main__.main.inputs": 449, + "__main__.main.output": 458, + "__main__.main.range_check_ptr": 456 + } + }, + "hints": [], + "inst": { + "end_col": 84, + "end_line": 15, + "input_file": { + "filename": "cairo_programs/finalize_blake2s.cairo" + }, + "parent_location": [ + { + "end_col": 52, + "end_line": 16, + "input_file": { + "filename": "cairo_programs/finalize_blake2s.cairo" + }, + "start_col": 41, + "start_line": 16 + }, + "While expanding the reference 'blake2s_ptr' in:" + ], + "start_col": 73, + "start_line": 15 + } + }, + "970": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 4 + }, + "reference_ids": { + "__main__.main.__temp149": 450, + "__main__.main.__temp150": 451, + "__main__.main.__temp151": 452, + "__main__.main.bitwise_ptr": 448, + "__main__.main.blake2s_ptr": 457, + "__main__.main.blake2s_ptr_start": 454, + "__main__.main.inputs": 449, + "__main__.main.output": 458, + "__main__.main.range_check_ptr": 456 + } + }, + "hints": [], + "inst": { + "end_col": 53, + "end_line": 16, + "input_file": { + "filename": "cairo_programs/finalize_blake2s.cairo" + }, + "start_col": 5, + "start_line": 16 + } + }, + "972": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 0 + }, + "reference_ids": { + "__main__.main.__temp149": 450, + "__main__.main.__temp150": 451, + "__main__.main.__temp151": 452, + "__main__.main.bitwise_ptr": 460, + "__main__.main.blake2s_ptr": 457, + "__main__.main.blake2s_ptr_start": 454, + "__main__.main.inputs": 449, + "__main__.main.output": 458, + "__main__.main.range_check_ptr": 459 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 17, + "input_file": { + "filename": "cairo_programs/finalize_blake2s.cairo" + }, + "start_col": 5, + "start_line": 17 + } + } + } + }, + "hints": { + "1": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "340": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 220, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 221 + } + } + } + ], + "349": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 227, + "starkware.cairo.common.math.assert_le_felt.b": 228, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 229 + } + } + } + ], + "359": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp70": 230, + "starkware.cairo.common.math.assert_le_felt.__temp71": 231, + "starkware.cairo.common.math.assert_le_felt.__temp72": 232, + "starkware.cairo.common.math.assert_le_felt.__temp73": 234, + "starkware.cairo.common.math.assert_le_felt.__temp74": 235, + "starkware.cairo.common.math.assert_le_felt.__temp75": 236, + "starkware.cairo.common.math.assert_le_felt.a": 227, + "starkware.cairo.common.math.assert_le_felt.arc_long": 237, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 240, + "starkware.cairo.common.math.assert_le_felt.arc_short": 233, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 239, + "starkware.cairo.common.math.assert_le_felt.b": 228, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 238 + } + } + } + ], + "373": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp70": 230, + "starkware.cairo.common.math.assert_le_felt.__temp71": 231, + "starkware.cairo.common.math.assert_le_felt.__temp72": 232, + "starkware.cairo.common.math.assert_le_felt.__temp73": 234, + "starkware.cairo.common.math.assert_le_felt.__temp74": 235, + "starkware.cairo.common.math.assert_le_felt.__temp75": 236, + "starkware.cairo.common.math.assert_le_felt.a": 227, + "starkware.cairo.common.math.assert_le_felt.arc_long": 237, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 240, + "starkware.cairo.common.math.assert_le_felt.arc_short": 233, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 239, + "starkware.cairo.common.math.assert_le_felt.b": 228, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 238 + } + } + } + ], + "385": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp70": 230, + "starkware.cairo.common.math.assert_le_felt.__temp71": 231, + "starkware.cairo.common.math.assert_le_felt.__temp72": 232, + "starkware.cairo.common.math.assert_le_felt.__temp73": 234, + "starkware.cairo.common.math.assert_le_felt.__temp74": 235, + "starkware.cairo.common.math.assert_le_felt.__temp75": 236, + "starkware.cairo.common.math.assert_le_felt.a": 227, + "starkware.cairo.common.math.assert_le_felt.arc_long": 237, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 240, + "starkware.cairo.common.math.assert_le_felt.arc_short": 233, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 239, + "starkware.cairo.common.math.assert_le_felt.b": 228, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 238 + } + } + } + ], + "394": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 253, + "starkware.cairo.common.math.unsigned_div_rem.q": 256, + "starkware.cairo.common.math.unsigned_div_rem.r": 255, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 257, + "starkware.cairo.common.math.unsigned_div_rem.value": 252 + } + } + } + ], + "409": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 262, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 263 + } + } + } + ], + "419": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 262, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 263 + } + } + } + ], + "450": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_enter_scope({'n': ids.len})", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.dst": 273, + "starkware.cairo.common.memcpy.memcpy.len": 275, + "starkware.cairo.common.memcpy.memcpy.src": 274 + } + } + } + ], + "458": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "n -= 1\nids.continue_copying = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp91": 278, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 279, + "starkware.cairo.common.memcpy.memcpy.dst": 273, + "starkware.cairo.common.memcpy.memcpy.frame": 277, + "starkware.cairo.common.memcpy.memcpy.len": 275, + "starkware.cairo.common.memcpy.memcpy.next_frame": 280, + "starkware.cairo.common.memcpy.memcpy.src": 274 + } + } + } + ], + "461": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp91": 278, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 279, + "starkware.cairo.common.memcpy.memcpy.dst": 273, + "starkware.cairo.common.memcpy.memcpy.frame": 277, + "starkware.cairo.common.memcpy.memcpy.len": 275, + "starkware.cairo.common.memcpy.memcpy.next_frame": 280, + "starkware.cairo.common.memcpy.memcpy.src": 274 + } + } + } + ], + "465": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_enter_scope({'n': ids.n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.dst": 281, + "starkware.cairo.common.memset.memset.n": 283, + "starkware.cairo.common.memset.memset.value": 282 + } + } + } + ], + "469": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "n -= 1\nids.continue_loop = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 286, + "starkware.cairo.common.memset.memset.dst": 281, + "starkware.cairo.common.memset.memset.frame": 285, + "starkware.cairo.common.memset.memset.n": 283, + "starkware.cairo.common.memset.memset.next_frame": 287, + "starkware.cairo.common.memset.memset.value": 282 + } + } + } + ], + "472": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 286, + "starkware.cairo.common.memset.memset.dst": 281, + "starkware.cairo.common.memset.memset.frame": 285, + "starkware.cairo.common.memset.memset.n": 283, + "starkware.cairo.common.memset.memset.next_frame": 287, + "starkware.cairo.common.memset.memset.value": 282 + } + } + } + ], + "575": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 20, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp118": 342, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp119": 343, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.blake2s_ptr": 344, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.counter": 333, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.data": 331, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.is_last_block": 337, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.n_bytes": 332, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.output": 345, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.range_check_ptr": 338 + } + } + } + ], + "624": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 25, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp120": 359, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp121": 361, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp122": 362, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.blake2s_ptr": 363, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.counter": 352, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.data": 350, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_bytes": 351, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_felts": 357, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.output": 364, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.range_check_ptr": 358 + } + } + } + ], + "644": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.finalize_blake2s" + ], + "code": "# Add dummy pairs of input and output.\nfrom starkware.cairo.common.cairo_blake2s.blake2s_utils import IV, blake2s_compress\n\n_n_packed_instances = int(ids.N_PACKED_INSTANCES)\nassert 0 <= _n_packed_instances < 20\n_blake2s_input_chunk_size_felts = int(ids.INPUT_BLOCK_FELTS)\nassert 0 <= _blake2s_input_chunk_size_felts < 100\n\nmessage = [0] * _blake2s_input_chunk_size_felts\nmodified_iv = [IV[0] ^ 0x01010020] + IV[1:]\noutput = blake2s_compress(\n message=message,\n h=modified_iv,\n t0=0,\n t1=0,\n f0=0xffffffff,\n f1=0,\n)\npadding = (modified_iv + 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"994": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 7 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 44, + "end_line": 63, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 37, + "start_line": 63 + } + }, + "996": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 10 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr_start": 471, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 63, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 10, + "start_line": 63 + } + }, + "997": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 10 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 473, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 26, + "end_line": 57, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 59, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 44, + "start_line": 65 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 11, + "start_line": 57 + } + }, + "998": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 11 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 473, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 63, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 40, + "end_line": 64, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 84, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 73, + "start_line": 65 + }, + "While expanding the reference 'blake2s_ptr' in:" + ], + "start_col": 23, + "start_line": 64 + }, + "While expanding the reference 'blake2s_ptr_start' in:" + ], + "start_col": 16, + "start_line": 63 + } + }, + "999": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 12 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 473, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 22, + "end_line": 59, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 92, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 86, + "start_line": 65 + }, + "While expanding the reference 'inputs' in:" + ], + "start_col": 9, + "start_line": 59 + } + }, + "1000": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 13 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 473, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 95, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 94, + "start_line": 65 + } + }, + "1002": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 196, + "offset": 14 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 473, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.range_check_ptr": 465 + } + }, + "hints": [], + "inst": { + "end_col": 96, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 20, + "start_line": 65 + } + }, + "1004": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 0 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 475, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.output": 476, + "__main__.main.range_check_ptr": 474 + } + }, + "hints": [], + "inst": { + "end_col": 59, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 38, + "end_line": 13, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 53, + "end_line": 66, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 5, + "start_line": 66 + }, + "While trying to retrieve the implicit argument 'range_check_ptr' in:" + ], + "start_col": 23, + "start_line": 13 + }, + "While expanding the reference 'range_check_ptr' in:" + ], + "start_col": 44, + "start_line": 65 + } + }, + "1005": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 1 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 475, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.output": 476, + "__main__.main.range_check_ptr": 474 + } + }, + "hints": [], + "inst": { + "end_col": 56, + "end_line": 57, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 68, + "end_line": 13, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 53, + "end_line": 66, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 5, + "start_line": 66 + }, + "While trying to retrieve the implicit argument 'bitwise_ptr' in:" + ], + "start_col": 40, + "start_line": 13 + }, + "While expanding the reference 'bitwise_ptr' in:" + ], + "start_col": 28, + "start_line": 57 + } + }, + "1006": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 2 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 475, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.output": 476, + "__main__.main.range_check_ptr": 474 + } + }, + "hints": [], + "inst": { + "end_col": 33, + "end_line": 63, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 39, + "end_line": 66, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 22, + "start_line": 66 + }, + "While expanding the reference 'blake2s_ptr_start' in:" + ], + "start_col": 16, + "start_line": 63 + } + }, + "1007": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 3 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 475, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.output": 476, + "__main__.main.range_check_ptr": 474 + } + }, + "hints": [], + "inst": { + "end_col": 84, + "end_line": 65, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "parent_location": [ + { + "end_col": 52, + "end_line": 66, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 41, + "start_line": 66 + }, + "While expanding the reference 'blake2s_ptr' in:" + ], + "start_col": 73, + "start_line": 65 + } + }, + "1008": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 197, + "offset": 4 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 466, + "__main__.main.blake2s_ptr": 475, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.output": 476, + "__main__.main.range_check_ptr": 474 + } + }, + "hints": [], + "inst": { + "end_col": 53, + "end_line": 66, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 5, + "start_line": 66 + } + }, + "1010": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 198, + "offset": 0 + }, + "reference_ids": { + "__main__.main.__temp154": 468, + "__main__.main.__temp155": 469, + "__main__.main.__temp156": 470, + "__main__.main.bitwise_ptr": 478, + "__main__.main.blake2s_ptr": 475, + "__main__.main.blake2s_ptr_start": 472, + "__main__.main.inputs": 467, + "__main__.main.output": 476, + "__main__.main.range_check_ptr": 477 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 67, + "input_file": { + "filename": "cairo_programs/finalize_blake2s_v2_hint.cairo" + }, + "start_col": 5, + "start_line": 67 + } + } + } + }, + "hints": { + "1": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "340": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 220, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 221 + } + } + } + ], + "358": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.split_felt" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert ids.MAX_HIGH < 2**128 and ids.MAX_LOW < 2**128\nassert PRIME - 1 == ids.MAX_HIGH * 2**128 + ids.MAX_LOW\nassert_integer(ids.value)\nids.low = ids.value & ((1 << 128) - 1)\nids.high = ids.value >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.split_felt.high": 235, + "starkware.cairo.common.math.split_felt.low": 234, + "starkware.cairo.common.math.split_felt.range_check_ptr": 236, + "starkware.cairo.common.math.split_felt.value": 232 + } + } + } + ], + "387": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 245, + "starkware.cairo.common.math.assert_le_felt.b": 246, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 247 + } + } + } + ], + "397": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp75": 248, + "starkware.cairo.common.math.assert_le_felt.__temp76": 249, + "starkware.cairo.common.math.assert_le_felt.__temp77": 250, + "starkware.cairo.common.math.assert_le_felt.__temp78": 252, + "starkware.cairo.common.math.assert_le_felt.__temp79": 253, + "starkware.cairo.common.math.assert_le_felt.__temp80": 254, + "starkware.cairo.common.math.assert_le_felt.a": 245, + "starkware.cairo.common.math.assert_le_felt.arc_long": 255, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 258, + "starkware.cairo.common.math.assert_le_felt.arc_short": 251, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 257, + "starkware.cairo.common.math.assert_le_felt.b": 246, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 256 + } + } + } + ], + "411": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp75": 248, + "starkware.cairo.common.math.assert_le_felt.__temp76": 249, + "starkware.cairo.common.math.assert_le_felt.__temp77": 250, + "starkware.cairo.common.math.assert_le_felt.__temp78": 252, + "starkware.cairo.common.math.assert_le_felt.__temp79": 253, + "starkware.cairo.common.math.assert_le_felt.__temp80": 254, + "starkware.cairo.common.math.assert_le_felt.a": 245, + "starkware.cairo.common.math.assert_le_felt.arc_long": 255, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 258, + "starkware.cairo.common.math.assert_le_felt.arc_short": 251, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 257, + "starkware.cairo.common.math.assert_le_felt.b": 246, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 256 + } + } + } + ], + "423": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp75": 248, + "starkware.cairo.common.math.assert_le_felt.__temp76": 249, + "starkware.cairo.common.math.assert_le_felt.__temp77": 250, + "starkware.cairo.common.math.assert_le_felt.__temp78": 252, + "starkware.cairo.common.math.assert_le_felt.__temp79": 253, + "starkware.cairo.common.math.assert_le_felt.__temp80": 254, + "starkware.cairo.common.math.assert_le_felt.a": 245, + "starkware.cairo.common.math.assert_le_felt.arc_long": 255, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 258, + "starkware.cairo.common.math.assert_le_felt.arc_short": 251, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 257, + "starkware.cairo.common.math.assert_le_felt.b": 246, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 256 + } + } + } + ], + "432": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 11, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 271, + "starkware.cairo.common.math.unsigned_div_rem.q": 274, + "starkware.cairo.common.math.unsigned_div_rem.r": 273, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 275, + "starkware.cairo.common.math.unsigned_div_rem.value": 270 + } + } + } + ], + "447": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 280, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 281 + } + } + } + ], + "457": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 280, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 281 + } + } + } + ], + "488": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_enter_scope({'n': ids.len})", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.dst": 291, + "starkware.cairo.common.memcpy.memcpy.len": 293, + "starkware.cairo.common.memcpy.memcpy.src": 292 + } + } + } + ], + "496": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "n -= 1\nids.continue_copying = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp96": 296, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 297, + "starkware.cairo.common.memcpy.memcpy.dst": 291, + "starkware.cairo.common.memcpy.memcpy.frame": 295, + "starkware.cairo.common.memcpy.memcpy.len": 293, + "starkware.cairo.common.memcpy.memcpy.next_frame": 298, + "starkware.cairo.common.memcpy.memcpy.src": 292 + } + } + } + ], + "499": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memcpy", + "starkware.cairo.common.memcpy.memcpy" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 6 + }, + "reference_ids": { + "starkware.cairo.common.memcpy.memcpy.__temp96": 296, + "starkware.cairo.common.memcpy.memcpy.continue_copying": 297, + "starkware.cairo.common.memcpy.memcpy.dst": 291, + "starkware.cairo.common.memcpy.memcpy.frame": 295, + "starkware.cairo.common.memcpy.memcpy.len": 293, + "starkware.cairo.common.memcpy.memcpy.next_frame": 298, + "starkware.cairo.common.memcpy.memcpy.src": 292 + } + } + } + ], + "503": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_enter_scope({'n': ids.n})", + "flow_tracking_data": { + "ap_tracking": { + "group": 15, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.dst": 299, + "starkware.cairo.common.memset.memset.n": 301, + "starkware.cairo.common.memset.memset.value": 300 + } + } + } + ], + "507": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "n -= 1\nids.continue_loop = 1 if n > 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 15, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 304, + "starkware.cairo.common.memset.memset.dst": 299, + "starkware.cairo.common.memset.memset.frame": 303, + "starkware.cairo.common.memset.memset.n": 301, + "starkware.cairo.common.memset.memset.next_frame": 305, + "starkware.cairo.common.memset.memset.value": 300 + } + } + } + ], + "510": [ + { + "accessible_scopes": [ + "starkware.cairo.common.memset", + "starkware.cairo.common.memset.memset" + ], + "code": "vm_exit_scope()", + "flow_tracking_data": { + "ap_tracking": { + "group": 15, + "offset": 3 + }, + "reference_ids": { + "starkware.cairo.common.memset.memset.continue_loop": 304, + "starkware.cairo.common.memset.memset.dst": 299, + "starkware.cairo.common.memset.memset.frame": 303, + "starkware.cairo.common.memset.memset.n": 301, + "starkware.cairo.common.memset.memset.next_frame": 305, + "starkware.cairo.common.memset.memset.value": 300 + } + } + } + ], + "613": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp123": 360, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.__temp124": 361, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.blake2s_ptr": 362, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.counter": 351, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.data": 349, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.is_last_block": 355, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.n_bytes": 350, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.output": 363, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_inner.range_check_ptr": 356 + } + } + } + ], + "662": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_blake2s.blake2s", + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block" + ], + "code": "from starkware.cairo.common.cairo_blake2s.blake2s_utils import compute_blake2s_func\ncompute_blake2s_func(segments=segments, output_ptr=ids.output)", + "flow_tracking_data": { + "ap_tracking": { + "group": 27, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp125": 377, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp126": 379, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.__temp127": 380, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.blake2s_ptr": 381, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.counter": 370, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.data": 368, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_bytes": 369, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.n_felts": 375, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.output": 382, + "starkware.cairo.common.cairo_blake2s.blake2s.blake2s_last_block.range_check_ptr": 376 + } + } + } + ], + "963": [ + { + "accessible_scopes": [ + "__main__", + "__main__.finalize_blake2s" + ], + "code": "# Add dummy pairs of input and output.\nfrom starkware.cairo.common.cairo_blake2s.blake2s_utils import IV, blake2s_compress\n\n_n_packed_instances = int(ids.N_PACKED_INSTANCES)\nassert 0 <= _n_packed_instances < 20\n_blake2s_input_chunk_size_felts = int(ids.BLAKE2S_INPUT_CHUNK_SIZE_FELTS)\nassert 0 <= _blake2s_input_chunk_size_felts < 100\n\nmessage = [0] * _blake2s_input_chunk_size_felts\nmodified_iv = [IV[0] ^ 0x01010020] + IV[1:]\noutput = blake2s_compress(\n message=message,\n h=modified_iv,\n t0=0,\n t1=0,\n f0=0xffffffff,\n f1=0,\n)\npadding = (modified_iv + message + [0, 0xffffffff] + output) * (_n_packed_instances - 1)\nsegments.write_arg(ids.blake2s_ptr_end, padding)", + "flow_tracking_data": { + "ap_tracking": { + "group": 194, + "offset": 14 + }, + "reference_ids": { + "__main__.finalize_blake2s.__fp__": 454, + "__main__.finalize_blake2s.__temp153": 456, + "__main__.finalize_blake2s.bitwise_ptr": 453, + "__main__.finalize_blake2s.blake2s_ptr_end": 451, + "__main__.finalize_blake2s.blake2s_ptr_start": 450, + "__main__.finalize_blake2s.n": 457, + "__main__.finalize_blake2s.range_check_ptr": 452, + "__main__.finalize_blake2s.sigma": 455 + } + } + } + ] + }, + "identifiers": { + "__main__.BLAKE2S_INPUT_CHUNK_SIZE_FELTS": { + "type": "const", + "value": 16 + }, + "__main__.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "__main__.INPUT_BLOCK_FELTS": { + "destination": "starkware.cairo.common.cairo_blake2s.blake2s.INPUT_BLOCK_FELTS", + "type": "alias" + }, + "__main__.INSTANCE_SIZE": { + "destination": "starkware.cairo.common.cairo_blake2s.blake2s.INSTANCE_SIZE", + "type": "alias" + }, + "__main__.N_PACKED_INSTANCES": { + "destination": "starkware.cairo.common.cairo_blake2s.packed_blake2s.N_PACKED_INSTANCES", + "type": "alias" + }, + "__main__._finalize_blake2s_inner": { + "destination": "starkware.cairo.common.cairo_blake2s.blake2s._finalize_blake2s_inner", + "type": "alias" + }, + "__main__._get_sigma": { + "destination": "starkware.cairo.common.cairo_blake2s.blake2s._get_sigma", + "type": "alias" + }, + "__main__.alloc": { + "destination": "starkware.cairo.common.alloc.alloc", + "type": "alias" + }, + "__main__.assert_nn_le": { + "destination": "starkware.cairo.common.math.assert_nn_le", + "type": "alias" + }, + "__main__.blake2s": { + "destination": "starkware.cairo.common.cairo_blake2s.blake2s.blake2s", + "type": "alias" + }, + "__main__.blake2s_compress": { + "destination": "starkware.cairo.common.cairo_blake2s.packed_blake2s.blake2s_compress", + "type": "alias" + }, + "__main__.finalize_blake2s": { + "decorators": [], + "pc": 949, + "type": "function" + }, + "__main__.finalize_blake2s.Args": { + "full_name": "__main__.finalize_blake2s.Args", + "members": { + "blake2s_ptr_end": { + "cairo_type": "felt*", + "offset": 1 + }, + "blake2s_ptr_start": { + "cairo_type": "felt*", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.finalize_blake2s.ImplicitArgs": { + "full_name": "__main__.finalize_blake2s.ImplicitArgs", + "members": { + "bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "offset": 1 + }, + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.finalize_blake2s.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.finalize_blake2s.SIZEOF_LOCALS": { + "type": "const", + "value": 1 + }, + "__main__.finalize_blake2s.__fp__": { + "cairo_type": "felt*", + "full_name": "__main__.finalize_blake2s.__fp__", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 3 + }, + "pc": 953, + "value": "[cast(ap + (-2), felt**)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.__temp153": { + "cairo_type": "felt", + "full_name": "__main__.finalize_blake2s.__temp153", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 13 + }, + "pc": 956, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "full_name": "__main__.finalize_blake2s.bitwise_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 0 + }, + "pc": 949, + "value": "[cast(fp + (-5), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 195, + "offset": 0 + }, + "pc": 978, + "value": "[cast(ap + (-2), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.blake2s_ptr": { + "cairo_type": "felt*", + "full_name": "__main__.finalize_blake2s.blake2s_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 35 + }, + "pc": 971, + "value": "[cast(fp + (-4), felt**)]" + }, + { + "ap_tracking_data": { + "group": 195, + "offset": 0 + }, + "pc": 978, + "value": "[cast(ap + (-1), felt**)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.blake2s_ptr_end": { + "cairo_type": "felt*", + "full_name": "__main__.finalize_blake2s.blake2s_ptr_end", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 0 + }, + "pc": 949, + "value": "[cast(fp + (-3), felt**)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.blake2s_ptr_start": { + "cairo_type": "felt*", + "full_name": "__main__.finalize_blake2s.blake2s_ptr_start", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 0 + }, + "pc": 949, + "value": "[cast(fp + (-4), felt**)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.n": { + "cairo_type": "felt", + "full_name": "__main__.finalize_blake2s.n", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 14 + }, + "pc": 958, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.n_chunks": { + "cairo_type": "felt", + "full_name": "__main__.finalize_blake2s.n_chunks", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 35 + }, + "pc": 970, + "value": "[cast(ap + (-2), felt*)]" + }, + { + "ap_tracking_data": { + "group": 194, + "offset": 35 + }, + "pc": 971, + "value": "[cast(fp, felt*)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.finalize_blake2s.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 0 + }, + "pc": 949, + "value": "[cast(fp + (-6), felt*)]" + }, + { + "ap_tracking_data": { + "group": 194, + "offset": 35 + }, + "pc": 970, + "value": "[cast(ap + (-3), felt*)]" + }, + { + "ap_tracking_data": { + "group": 195, + "offset": 0 + }, + "pc": 978, + "value": "[cast(ap + (-3), felt*)]" + } + ], + "type": "reference" + }, + "__main__.finalize_blake2s.sigma": { + "cairo_type": "felt*", + "full_name": "__main__.finalize_blake2s.sigma", + "references": [ + { + "ap_tracking_data": { + "group": 194, + "offset": 12 + }, + "pc": 955, + "value": "[cast(ap + (-1), felt**)]" + } + ], + "type": "reference" + }, + "__main__.get_fp_and_pc": { + "destination": "starkware.cairo.common.registers.get_fp_and_pc", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 981, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": { + "bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "offset": 1 + }, + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 1 + }, + "__main__.main.__temp154": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp154", + "references": [ + { + "ap_tracking_data": { + "group": 196, + "offset": 5 + }, + "pc": 987, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp155": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp155", + "references": [ + { + "ap_tracking_data": { + "group": 196, + "offset": 6 + }, + "pc": 990, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.__temp156": { + "cairo_type": "felt", + "full_name": "__main__.main.__temp156", + "references": [ + { + "ap_tracking_data": { + "group": 196, + "offset": 7 + }, + "pc": 993, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.main.bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "full_name": "__main__.main.bitwise_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 196, + "offset": 0 + }, + "pc": 981, + "value": "[cast(fp + (-3), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 198, + "offset": 0 + }, + "pc": 1010, + "value": "[cast(ap + (-1), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + } + ], + "type": "reference" + }, + "__main__.main.blake2s_ptr": { + "cairo_type": "felt*", + "full_name": "__main__.main.blake2s_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 196, + "offset": 10 + }, + "pc": 997, + "value": "[cast(fp, felt**)]" + }, + { + "ap_tracking_data": { + "group": 197, + "offset": 0 + }, + "pc": 1004, + "value": "[cast(ap + (-3), felt**)]" + } + ], + "type": "reference" + }, + "__main__.main.blake2s_ptr_start": { + "cairo_type": 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"cairo_programs/fq.cairo" + }, + "start_col": 5, + "start_line": 244 + } + } + } + }, + "hints": { + "0": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 0, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 0, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 1 + } + } + } + ], + "18": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 12, + "starkware.cairo.common.math.assert_le_felt.b": 13, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 14 + } + } + } + ], + "28": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 15, + "starkware.cairo.common.math.assert_le_felt.__temp1": 16, + "starkware.cairo.common.math.assert_le_felt.__temp2": 17, + "starkware.cairo.common.math.assert_le_felt.__temp3": 19, + "starkware.cairo.common.math.assert_le_felt.__temp4": 20, + "starkware.cairo.common.math.assert_le_felt.__temp5": 21, + "starkware.cairo.common.math.assert_le_felt.a": 12, + "starkware.cairo.common.math.assert_le_felt.arc_long": 22, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 25, + "starkware.cairo.common.math.assert_le_felt.arc_short": 18, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 24, + "starkware.cairo.common.math.assert_le_felt.b": 13, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 23 + } + } + } + ], + "42": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 15, + "starkware.cairo.common.math.assert_le_felt.__temp1": 16, + "starkware.cairo.common.math.assert_le_felt.__temp2": 17, + "starkware.cairo.common.math.assert_le_felt.__temp3": 19, + "starkware.cairo.common.math.assert_le_felt.__temp4": 20, + "starkware.cairo.common.math.assert_le_felt.__temp5": 21, + "starkware.cairo.common.math.assert_le_felt.a": 12, + "starkware.cairo.common.math.assert_le_felt.arc_long": 22, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 25, + "starkware.cairo.common.math.assert_le_felt.arc_short": 18, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 24, + "starkware.cairo.common.math.assert_le_felt.b": 13, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 23 + } + } + } + ], + "54": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 3, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp0": 15, + "starkware.cairo.common.math.assert_le_felt.__temp1": 16, + "starkware.cairo.common.math.assert_le_felt.__temp2": 17, + "starkware.cairo.common.math.assert_le_felt.__temp3": 19, + "starkware.cairo.common.math.assert_le_felt.__temp4": 20, + "starkware.cairo.common.math.assert_le_felt.__temp5": 21, + "starkware.cairo.common.math.assert_le_felt.a": 12, + "starkware.cairo.common.math.assert_le_felt.arc_long": 22, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 25, + "starkware.cairo.common.math.assert_le_felt.arc_short": 18, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 24, + "starkware.cairo.common.math.assert_le_felt.b": 13, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 23 + } + } + } + ], + "63": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 38, + "starkware.cairo.common.math.unsigned_div_rem.q": 41, + "starkware.cairo.common.math.unsigned_div_rem.r": 40, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 42, + "starkware.cairo.common.math.unsigned_div_rem.value": 37 + } + } + } + ], + "78": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 47, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 48 + } + } + } + ], + "88": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 47, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 48 + } + } + } + ], + "123": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.uint256_add" + ], + "code": "sum_low = ids.a.low + ids.b.low\nids.carry_low = 1 if sum_low >= ids.SHIFT else 0\nsum_high = ids.a.high + ids.b.high + ids.carry_low\nids.carry_high = 1 if sum_high >= ids.SHIFT else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.uint256.uint256_add.a": 61, + "starkware.cairo.common.uint256.uint256_add.b": 62, + "starkware.cairo.common.uint256.uint256_add.carry_high": 66, + "starkware.cairo.common.uint256.uint256_add.carry_low": 65, + "starkware.cairo.common.uint256.uint256_add.range_check_ptr": 63, + "starkware.cairo.common.uint256.uint256_add.res": 64 + } + } + } + ], + "145": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.split_64" + ], + "code": "ids.low = ids.a & ((1<<64) - 1)\nids.high = ids.a >> 64", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.uint256.split_64.a": 73, + "starkware.cairo.common.uint256.split_64.high": 76, + "starkware.cairo.common.uint256.split_64.low": 75, + "starkware.cairo.common.uint256.split_64.range_check_ptr": 74 + } + } + } + ], + "273": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.uint256_mul_div_mod" + ], + "code": "a = (ids.a.high << 128) + ids.a.low\nb = (ids.b.high << 128) + ids.b.low\ndiv = (ids.div.high << 128) + ids.div.low\nquotient, remainder = divmod(a * b, div)\n\nids.quotient_low.low = quotient & ((1 << 128) - 1)\nids.quotient_low.high = (quotient >> 128) & ((1 << 128) - 1)\nids.quotient_high.low = (quotient >> 256) & ((1 << 128) - 1)\nids.quotient_high.high = quotient >> 384\nids.remainder.low = remainder & ((1 << 128) - 1)\nids.remainder.high = remainder >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 182 + }, + "reference_ids": { + "starkware.cairo.common.uint256.uint256_mul_div_mod.a": 155, + "starkware.cairo.common.uint256.uint256_mul_div_mod.ab_high": 161, + "starkware.cairo.common.uint256.uint256_mul_div_mod.ab_low": 160, + "starkware.cairo.common.uint256.uint256_mul_div_mod.b": 156, + "starkware.cairo.common.uint256.uint256_mul_div_mod.div": 157, + "starkware.cairo.common.uint256.uint256_mul_div_mod.quotient_high": 163, + "starkware.cairo.common.uint256.uint256_mul_div_mod.quotient_low": 162, + "starkware.cairo.common.uint256.uint256_mul_div_mod.range_check_ptr": 159, + "starkware.cairo.common.uint256.uint256_mul_div_mod.remainder": 164 + } + } + } + ], + "364": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3" + ], + "code": "from starkware.cairo.common.cairo_secp.secp_utils import split\n\nsegments.write_arg(ids.res.address_, split(value))", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.range_check_ptr": 195, + "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3.res": 196 + } + } + } + ], + "376": [ + { + "accessible_scopes": [ + "starkware.cairo.common.cairo_secp.bigint", + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256" + ], + "code": "ids.low = (ids.x.d0 + ids.x.d1 * ids.BASE) & ((1 << 128) - 1)", + "flow_tracking_data": { + "ap_tracking": { + "group": 15, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.high": 205, + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.low": 204, + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.range_check_ptr": 206, + "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256.x": 202 + } + } + } + ] + }, + "identifiers": { + "__main__.ALL_ONES": { + "type": "const", + "value": 340282366920938463463374607431768211455 + }, + "__main__.BASE": { + "destination": "starkware.cairo.common.cairo_secp.constants.BASE", + "type": "alias" + }, + "__main__.BigInt3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.BigInt3", + "type": "alias" + }, + "__main__.HALF_SHIFT": { + "type": "const", + "value": 18446744073709551616 + }, + "__main__.P0": { + "type": "const", + "value": 60193888514187762220203335 + }, + "__main__.P1": { + "type": "const", + "value": 27625954992973055882053025 + }, + "__main__.P2": { + "type": "const", + "value": 3656382694611191768777988 + }, + "__main__.P_high": { + "type": "const", + "value": 64323764613183177041862057485226039389 + }, + "__main__.P_low": { + "type": "const", + "value": 201385395114098847380338600778089168199 + }, + "__main__.SHIFT": { + "type": "const", + "value": 340282366920938463463374607431768211456 + }, + "__main__.Uint256": { + "destination": "starkware.cairo.common.uint256.Uint256", + "type": "alias" + }, + "__main__.Uint384": { + "destination": "cairo_programs.uint384_extension.Uint384", + "type": "alias" + }, + "__main__.Uint512": { + "full_name": "__main__.Uint512", + "members": { + "d0": { + "cairo_type": "felt", + "offset": 0 + }, + "d1": { + "cairo_type": "felt", + "offset": 1 + }, + "d2": { + "cairo_type": "felt", + "offset": 2 + }, + "d3": { + "cairo_type": "felt", + "offset": 3 + } + }, + "size": 4, + "type": "struct" + }, + "__main__.Uint768": { + "destination": "cairo_programs.uint384_extension.Uint768", + "type": "alias" + }, + "__main__.UnreducedBigInt5": { + "destination": "starkware.cairo.common.cairo_secp.bigint.UnreducedBigInt5", + "type": "alias" + }, + "__main__.bigint_mul": { + "destination": "starkware.cairo.common.cairo_secp.bigint.bigint_mul", + "type": "alias" + }, + "__main__.bigint_to_uint256": { + "destination": "starkware.cairo.common.cairo_secp.bigint.bigint_to_uint256", + "type": "alias" + }, + "__main__.fq": { + "type": "namespace" + }, + "__main__.fq.Args": { + "full_name": "__main__.fq.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.fq.ImplicitArgs": { + "full_name": "__main__.fq.ImplicitArgs", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.fq.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.fq.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.is_le": { + "destination": "starkware.cairo.common.math_cmp.is_le", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 417, + "type": "function" + }, + "__main__.main.Args": { + "full_name": "__main__.main.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.ImplicitArgs": { + "full_name": "__main__.main.ImplicitArgs", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.main.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.main.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.nondet_bigint3": { + "destination": "starkware.cairo.common.cairo_secp.bigint.nondet_bigint3", + "type": "alias" + }, + "__main__.split_64": { + "destination": "starkware.cairo.common.uint256.split_64", + "type": "alias" + }, + "__main__.u384": { + "destination": "cairo_programs.uint384_extension.u384", + "type": "alias" + }, + "__main__.uint256_mul_div_mod": { + "destination": "starkware.cairo.common.uint256.uint256_mul_div_mod", + "type": "alias" + }, + "__main__.uint256_to_bigint": { + "destination": "starkware.cairo.common.cairo_secp.bigint.uint256_to_bigint", + "type": "alias" + }, + "cairo_programs.uint384.ALL_ONES": { + "type": "const", + "value": 340282366920938463463374607431768211455 + }, + "cairo_programs.uint384.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "cairo_programs.uint384.HALF_SHIFT": { + "type": "const", + "value": 18446744073709551616 + }, + "cairo_programs.uint384.SHIFT": { + "type": "const", + "value": 340282366920938463463374607431768211456 + }, + "cairo_programs.uint384.Uint256": { + "destination": "starkware.cairo.common.uint256.Uint256", + "type": "alias" + }, + "cairo_programs.uint384.Uint384": { + "full_name": "cairo_programs.uint384.Uint384", + "members": { + "d0": { + "cairo_type": "felt", + "offset": 0 + }, + "d1": { + "cairo_type": "felt", + "offset": 1 + }, + "d2": { + "cairo_type": "felt", + "offset": 2 + } + }, + "size": 3, + "type": "struct" + }, + "cairo_programs.uint384.Uint384_expand": { + "full_name": "cairo_programs.uint384.Uint384_expand", + "members": { + "B0": { + "cairo_type": "felt", + "offset": 0 + }, + "b01": { + "cairo_type": "felt", + "offset": 1 + }, + "b12": { + "cairo_type": "felt", + "offset": 2 + }, + "b23": { + "cairo_type": "felt", + "offset": 3 + }, + "b34": { + "cairo_type": "felt", + "offset": 4 + }, + "b45": { + "cairo_type": "felt", + "offset": 5 + }, + "b5": { + "cairo_type": "felt", + "offset": 6 + } + }, + "size": 7, + "type": "struct" + }, + "cairo_programs.uint384.assert_in_range": { + "destination": "starkware.cairo.common.math.assert_in_range", + "type": "alias" + }, + 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range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 1, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 25, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 26 + } + } + } + ], + "90": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.uint256_add" + ], + "code": "sum_low = ids.a.low + ids.b.low\nids.carry_low = 1 if sum_low >= ids.SHIFT else 0\nsum_high = ids.a.high + ids.b.high + ids.carry_low\nids.carry_high = 1 if sum_high >= ids.SHIFT else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.uint256.uint256_add.a": 39, + "starkware.cairo.common.uint256.uint256_add.b": 40, + "starkware.cairo.common.uint256.uint256_add.carry_high": 44, + "starkware.cairo.common.uint256.uint256_add.carry_low": 43, + "starkware.cairo.common.uint256.uint256_add.range_check_ptr": 41, + "starkware.cairo.common.uint256.uint256_add.res": 42 + } + } + } + ], + "112": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.split_64" + ], + "code": "ids.low = ids.a & ((1<<64) - 1)\nids.high = ids.a >> 64", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.uint256.split_64.a": 51, + "starkware.cairo.common.uint256.split_64.high": 54, + "starkware.cairo.common.uint256.split_64.low": 53, + "starkware.cairo.common.uint256.split_64.range_check_ptr": 52 + } + } + } + ], + "240": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.uint256_mul_div_mod" + ], + "code": "a = (ids.a.high << 128) + ids.a.low\nb = (ids.b.high << 128) + ids.b.low\ndiv = (ids.div.high << 128) + ids.div.low\nquotient, remainder = divmod(a * b, div)\n\nids.quotient_low.low = quotient & ((1 << 128) - 1)\nids.quotient_low.high = (quotient >> 128) & ((1 << 128) - 1)\nids.quotient_high.low = (quotient >> 256) & ((1 << 128) - 1)\nids.quotient_high.high = quotient >> 384\nids.remainder.low = remainder & ((1 << 128) - 1)\nids.remainder.high = remainder >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 8, + "offset": 182 + }, + "reference_ids": { + "starkware.cairo.common.uint256.uint256_mul_div_mod.a": 133, + "starkware.cairo.common.uint256.uint256_mul_div_mod.ab_high": 139, + "starkware.cairo.common.uint256.uint256_mul_div_mod.ab_low": 138, + "starkware.cairo.common.uint256.uint256_mul_div_mod.b": 134, + "starkware.cairo.common.uint256.uint256_mul_div_mod.div": 135, + "starkware.cairo.common.uint256.uint256_mul_div_mod.quotient_high": 141, + "starkware.cairo.common.uint256.uint256_mul_div_mod.quotient_low": 140, + "starkware.cairo.common.uint256.uint256_mul_div_mod.range_check_ptr": 137, + "starkware.cairo.common.uint256.uint256_mul_div_mod.remainder": 142 + } + } + } + ], + "319": [ + { + "accessible_scopes": [ + "cairo_programs.uint384", + "cairo_programs.uint384.u384", + "cairo_programs.uint384.u384.split_128" + ], + "code": "ids.low = ids.a & ((1<<128) - 1)\nids.high = ids.a >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 9, + "offset": 2 + }, + "reference_ids": { + "cairo_programs.uint384.u384.split_128.a": 163, + "cairo_programs.uint384.u384.split_128.high": 166, + "cairo_programs.uint384.u384.split_128.low": 165, + "cairo_programs.uint384.u384.split_128.range_check_ptr": 164 + } + } + } + ], + "458": [ + { + "accessible_scopes": [ + "cairo_programs.fq", + "cairo_programs.fq.fq", + "cairo_programs.fq.fq.u512_unsigned_div_rem" + ], + "code": "def split(num: int, num_bits_shift: int, length: int):\n a = []\n for _ in range(length):\n a.append( num & ((1 << num_bits_shift) - 1) )\n num = num >> num_bits_shift\n return tuple(a)\n\ndef pack(z, num_bits_shift: int) -> int:\n limbs = (z.low, z.high)\n return sum(limb << (num_bits_shift * i) for i, limb in enumerate(limbs))\n\ndef pack_extended(z, num_bits_shift: int) -> int:\n limbs = (z.d0, z.d1, z.d2, z.d3)\n return sum(limb << (num_bits_shift * i) for i, limb in enumerate(limbs))\n\nx = pack_extended(ids.x, num_bits_shift = 128)\ndiv = pack(ids.div, num_bits_shift = 128)\n\nquotient, remainder = divmod(x, div)\n\nquotient_split = split(quotient, num_bits_shift=128, length=4)\n\nids.quotient.d0 = quotient_split[0]\nids.quotient.d1 = quotient_split[1]\nids.quotient.d2 = quotient_split[2]\nids.quotient.d3 = quotient_split[3]\n\nremainder_split = split(remainder, num_bits_shift=128, length=2)\nids.remainder.low = remainder_split[0]\nids.remainder.high = remainder_split[1]", + "flow_tracking_data": { + "ap_tracking": { + "group": 14, + "offset": 6 + }, + "reference_ids": { + "cairo_programs.fq.fq.u512_unsigned_div_rem.div": 259, + "cairo_programs.fq.fq.u512_unsigned_div_rem.quotient": 261, + "cairo_programs.fq.fq.u512_unsigned_div_rem.range_check_ptr": 260, + "cairo_programs.fq.fq.u512_unsigned_div_rem.remainder": 262, + "cairo_programs.fq.fq.u512_unsigned_div_rem.x": 258 + } + } + } + ], + "508": [ + { + "accessible_scopes": [ + "cairo_programs.fq", + "cairo_programs.fq.fq", + "cairo_programs.fq.fq.add" + ], + "code": "sum_low = ids.a.low + ids.b.low\nids.carry_low = 1 if sum_low >= ids.SHIFT else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 18, + "offset": 3 + }, + "reference_ids": { + "cairo_programs.fq.fq.add.a": 272, + "cairo_programs.fq.fq.add.b": 273, + "cairo_programs.fq.fq.add.carry_low": 276, + "cairo_programs.fq.fq.add.range_check_ptr": 274, + "cairo_programs.fq.fq.add.res": 275 + } + } + } + ], + "521": [ + { + "accessible_scopes": [ + "cairo_programs.fq", + "cairo_programs.fq.fq", + "cairo_programs.fq.fq.add_carry" + ], + "code": "sum_low = ids.a.low + ids.b.low\nids.carry_low = 1 if sum_low >= ids.SHIFT else 0\nsum_high = ids.a.high + ids.b.high + ids.carry_low\nids.carry_high = 1 if sum_high >= ids.SHIFT else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 19, + "offset": 4 + }, + "reference_ids": { + "cairo_programs.fq.fq.add_carry.a": 280, + "cairo_programs.fq.fq.add_carry.b": 281, + "cairo_programs.fq.fq.add_carry.carry_high": 285, + "cairo_programs.fq.fq.add_carry.carry_low": 284, + "cairo_programs.fq.fq.add_carry.range_check_ptr": 282, + "cairo_programs.fq.fq.add_carry.res": 283 + } + } + } + ], + "560": [ + { + "accessible_scopes": [ + "cairo_programs.fq", + "cairo_programs.fq.fq", + "cairo_programs.fq.fq.div" + ], + "code": "from starkware.python.math_utils import div_mod\n\ndef split(a: int):\n return (a & ((1 << 128) - 1), a >> 128)\n\ndef pack(z, num_bits_shift: int) -> int:\n limbs = (z.low, z.high)\n return sum(limb << (num_bits_shift * i) for i, limb in enumerate(limbs))\n\na = pack(ids.a, 128)\nb = pack(ids.b, 128)\np = pack(ids.p, 128)\n# For python3.8 and above the modular inverse can be computed as follows:\n# b_inverse_mod_p = pow(b, -1, p)\n# Instead we use the python3.7-friendly function div_mod from starkware.python.math_utils\nb_inverse_mod_p = div_mod(1, b, p)\n\nb_inverse_mod_p_split = split(b_inverse_mod_p)\n\nids.b_inverse_mod_p.low = b_inverse_mod_p_split[0]\nids.b_inverse_mod_p.high = b_inverse_mod_p_split[1]", + "flow_tracking_data": { + "ap_tracking": { + "group": 21, + "offset": 2 + }, + "reference_ids": { + "cairo_programs.fq.fq.div.a": 298, + "cairo_programs.fq.fq.div.b": 299, + "cairo_programs.fq.fq.div.b_inverse_mod_p": 302, + "cairo_programs.fq.fq.div.p": 300, + "cairo_programs.fq.fq.div.range_check_ptr": 301 + } + } + } + ] + }, + "identifiers": { + "__main__.Uint256": { + "destination": "cairo_programs.fq.Uint256", + "type": "alias" + }, + "__main__.Uint512": { + "destination": "cairo_programs.fq.Uint512", + "type": "alias" + }, + "__main__.fq": { + "destination": "cairo_programs.fq.fq", + "type": "alias" + }, + "__main__.main": { + "decorators": [], + "pc": 724, + "type": "function" + }, + "__main__.main.Args": { + 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731, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.test_add": { + "decorators": [], + "pc": 596, + "type": "function" + }, + "__main__.test_add.Args": { + "full_name": "__main__.test_add.Args", + "members": {}, + "size": 0, + "type": "struct" + }, + "__main__.test_add.ImplicitArgs": { + "full_name": "__main__.test_add.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.test_add.Return": { + "cairo_type": "()", + "type": "type_definition" + }, + "__main__.test_add.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.test_add.a": { + "cairo_type": "starkware.cairo.common.uint256.Uint256", + "full_name": "__main__.test_add.a", + "references": [ + { + "ap_tracking_data": { + "group": 25, + "offset": 0 + }, + "pc": 596, + "value": "cast((346, 0), starkware.cairo.common.uint256.Uint256)" + }, + { + "ap_tracking_data": { + "group": 25, + 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}, + "start_col": 5, + "start_line": 343 + }, + "While trying to retrieve the implicit argument 'bitwise_ptr' in:" + ], + "start_col": 34, + "start_line": 340 + }, + "While expanding the reference 'bitwise_ptr' in:" + ], + "start_col": 13, + "start_line": 341 + }, + "While trying to update the implicit return value 'bitwise_ptr' in:" + ], + "start_col": 42, + "start_line": 53 + } + }, + "820": { + "accessible_scopes": [ + "__main__", + "__main__.main" + ], + "flow_tracking_data": { + "ap_tracking": { + "group": 281, + "offset": 2 + }, + "reference_ids": { + "__main__.main.bitwise_ptr": 270, + "__main__.main.range_check_ptr": 269, + "__main__.main.x": 271 + } + }, + "hints": [], + "inst": { + "end_col": 15, + "end_line": 343, + "input_file": { + "filename": "cairo_programs/garaga.cairo" + }, + "start_col": 5, + "start_line": 343 + } + } + } + }, + "hints": { + "6": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_nn" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert 0 <= ids.a % PRIME < range_check_builtin.bound, f'a = {ids.a} is out of range.'", + "flow_tracking_data": { + "ap_tracking": { + "group": 2, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_nn.a": 2, + "starkware.cairo.common.math.assert_nn.range_check_ptr": 3 + } + } + } + ], + "15": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.split_felt" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert ids.MAX_HIGH < 2**128 and ids.MAX_LOW < 2**128\nassert PRIME - 1 == ids.MAX_HIGH * 2**128 + ids.MAX_LOW\nassert_integer(ids.value)\nids.low = ids.value & ((1 << 128) - 1)\nids.high = ids.value >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 4, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.split_felt.high": 12, + "starkware.cairo.common.math.split_felt.low": 11, + "starkware.cairo.common.math.split_felt.range_check_ptr": 13, + "starkware.cairo.common.math.split_felt.value": 9 + } + } + } + ], + "44": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "import itertools\n\nfrom starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.a)\nassert_integer(ids.b)\na = ids.a % PRIME\nb = ids.b % PRIME\nassert a <= b, f'a = {a} is not less than or equal to b = {b}.'\n\n# Find an arc less than PRIME / 3, and another less than PRIME / 2.\nlengths_and_indices = [(a, 0), (b - a, 1), (PRIME - 1 - b, 2)]\nlengths_and_indices.sort()\nassert lengths_and_indices[0][0] <= PRIME // 3 and lengths_and_indices[1][0] <= PRIME // 2\nexcluded = lengths_and_indices[2][1]\n\nmemory[ids.range_check_ptr + 1], memory[ids.range_check_ptr + 0] = (\n divmod(lengths_and_indices[0][0], ids.PRIME_OVER_3_HIGH))\nmemory[ids.range_check_ptr + 3], memory[ids.range_check_ptr + 2] = (\n divmod(lengths_and_indices[1][0], ids.PRIME_OVER_2_HIGH))", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.a": 22, + "starkware.cairo.common.math.assert_le_felt.b": 23, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 24 + } + } + } + ], + "54": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 0 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 8 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp10": 31, + "starkware.cairo.common.math.assert_le_felt.__temp5": 25, + "starkware.cairo.common.math.assert_le_felt.__temp6": 26, + "starkware.cairo.common.math.assert_le_felt.__temp7": 27, + "starkware.cairo.common.math.assert_le_felt.__temp8": 29, + "starkware.cairo.common.math.assert_le_felt.__temp9": 30, + "starkware.cairo.common.math.assert_le_felt.a": 22, + "starkware.cairo.common.math.assert_le_felt.arc_long": 32, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 35, + "starkware.cairo.common.math.assert_le_felt.arc_short": 28, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 34, + "starkware.cairo.common.math.assert_le_felt.b": 23, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 33 + } + } + } + ], + "68": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "memory[ap] = 1 if excluded != 1 else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 9 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp10": 31, + "starkware.cairo.common.math.assert_le_felt.__temp5": 25, + "starkware.cairo.common.math.assert_le_felt.__temp6": 26, + "starkware.cairo.common.math.assert_le_felt.__temp7": 27, + "starkware.cairo.common.math.assert_le_felt.__temp8": 29, + "starkware.cairo.common.math.assert_le_felt.__temp9": 30, + "starkware.cairo.common.math.assert_le_felt.a": 22, + "starkware.cairo.common.math.assert_le_felt.arc_long": 32, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 35, + "starkware.cairo.common.math.assert_le_felt.arc_short": 28, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 34, + "starkware.cairo.common.math.assert_le_felt.b": 23, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 33 + } + } + } + ], + "80": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.assert_le_felt" + ], + "code": "assert excluded == 2", + "flow_tracking_data": { + "ap_tracking": { + "group": 5, + "offset": 10 + }, + "reference_ids": { + "starkware.cairo.common.math.assert_le_felt.__temp10": 31, + "starkware.cairo.common.math.assert_le_felt.__temp5": 25, + "starkware.cairo.common.math.assert_le_felt.__temp6": 26, + "starkware.cairo.common.math.assert_le_felt.__temp7": 27, + "starkware.cairo.common.math.assert_le_felt.__temp8": 29, + "starkware.cairo.common.math.assert_le_felt.__temp9": 30, + "starkware.cairo.common.math.assert_le_felt.a": 22, + "starkware.cairo.common.math.assert_le_felt.arc_long": 32, + "starkware.cairo.common.math.assert_le_felt.arc_prod": 35, + "starkware.cairo.common.math.assert_le_felt.arc_short": 28, + "starkware.cairo.common.math.assert_le_felt.arc_sum": 34, + "starkware.cairo.common.math.assert_le_felt.b": 23, + "starkware.cairo.common.math.assert_le_felt.range_check_ptr": 33 + } + } + } + ], + "89": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math", + "starkware.cairo.common.math.unsigned_div_rem" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 6, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math.unsigned_div_rem.div": 48, + "starkware.cairo.common.math.unsigned_div_rem.q": 51, + "starkware.cairo.common.math.unsigned_div_rem.r": 50, + "starkware.cairo.common.math.unsigned_div_rem.range_check_ptr": 52, + "starkware.cairo.common.math.unsigned_div_rem.value": 47 + } + } + } + ], + "104": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= (ids.a % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 0 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 57, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 58 + } + } + } + ], + "114": [ + { + "accessible_scopes": [ + "starkware.cairo.common.math_cmp", + "starkware.cairo.common.math_cmp.is_nn" + ], + "code": "memory[ap] = 0 if 0 <= ((-ids.a - 1) % PRIME) < range_check_builtin.bound else 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 7, + "offset": 1 + }, + "reference_ids": { + "starkware.cairo.common.math_cmp.is_nn.a": 57, + "starkware.cairo.common.math_cmp.is_nn.range_check_ptr": 58 + } + } + } + ], + "159": [ + { + "accessible_scopes": [ + "starkware.cairo.common.pow", + "starkware.cairo.common.pow.pow" + ], + "code": "ids.locs.bit = (ids.prev_locs.exp % PRIME) & 1", + "flow_tracking_data": { + "ap_tracking": { + "group": 10, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.pow.pow.base": 71, + "starkware.cairo.common.pow.pow.exp": 72, + "starkware.cairo.common.pow.pow.initial_locs": 74, + "starkware.cairo.common.pow.pow.locs": 76, + "starkware.cairo.common.pow.pow.prev_locs": 75, + "starkware.cairo.common.pow.pow.range_check_ptr": 73 + } + } + } + ], + "198": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.uint256_add" + ], + "code": "sum_low = ids.a.low + ids.b.low\nids.carry_low = 1 if sum_low >= ids.SHIFT else 0\nsum_high = ids.a.high + ids.b.high + ids.carry_low\nids.carry_high = 1 if sum_high >= ids.SHIFT else 0", + "flow_tracking_data": { + "ap_tracking": { + "group": 12, + "offset": 4 + }, + "reference_ids": { + "starkware.cairo.common.uint256.uint256_add.a": 87, + "starkware.cairo.common.uint256.uint256_add.b": 88, + "starkware.cairo.common.uint256.uint256_add.carry_high": 92, + "starkware.cairo.common.uint256.uint256_add.carry_low": 91, + "starkware.cairo.common.uint256.uint256_add.range_check_ptr": 89, + "starkware.cairo.common.uint256.uint256_add.res": 90 + } + } + } + ], + "220": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.split_64" + ], + "code": "ids.low = ids.a & ((1<<64) - 1)\nids.high = ids.a >> 64", + "flow_tracking_data": { + "ap_tracking": { + "group": 13, + "offset": 2 + }, + "reference_ids": { + "starkware.cairo.common.uint256.split_64.a": 99, + "starkware.cairo.common.uint256.split_64.high": 102, + "starkware.cairo.common.uint256.split_64.low": 101, + "starkware.cairo.common.uint256.split_64.range_check_ptr": 100 + } + } + } + ], + "354": [ + { + "accessible_scopes": [ + "starkware.cairo.common.uint256", + "starkware.cairo.common.uint256.uint256_unsigned_div_rem" + ], + "code": "a = (ids.a.high << 128) + ids.a.low\ndiv = (ids.div.high << 128) + ids.div.low\nquotient, remainder = divmod(a, div)\n\nids.quotient.low = quotient & ((1 << 128) - 1)\nids.quotient.high = quotient >> 128\nids.remainder.low = remainder & ((1 << 128) - 1)\nids.remainder.high = remainder >> 128", + "flow_tracking_data": { + "ap_tracking": { + "group": 16, + "offset": 5 + }, + "reference_ids": { + "starkware.cairo.common.uint256.uint256_unsigned_div_rem.__temp71": 184, + "starkware.cairo.common.uint256.uint256_unsigned_div_rem.a": 181, + "starkware.cairo.common.uint256.uint256_unsigned_div_rem.div": 182, + "starkware.cairo.common.uint256.uint256_unsigned_div_rem.quotient": 185, + "starkware.cairo.common.uint256.uint256_unsigned_div_rem.range_check_ptr": 183, + "starkware.cairo.common.uint256.uint256_unsigned_div_rem.remainder": 186 + } + } + } + ], + "498": [ + { + "accessible_scopes": [ + "starkware.cairo.common.alloc", + "starkware.cairo.common.alloc.alloc" + ], + "code": "memory[ap] = segments.add()", + "flow_tracking_data": { + "ap_tracking": { + "group": 22, + "offset": 0 + }, + "reference_ids": {} + } + } + ], + "515": [ + { + "accessible_scopes": [ + "__main__", + "__main__.felt_divmod_no_input_check" + ], + "code": "from starkware.cairo.common.math_utils import assert_integer\nassert_integer(ids.div)\nassert 0 < ids.div <= PRIME // range_check_builtin.bound, \\\n f'div={hex(ids.div)} is out of the valid range.'\nids.q, ids.r = divmod(ids.value, ids.div)", + "flow_tracking_data": { + "ap_tracking": { + "group": 24, + "offset": 2 + }, + "reference_ids": { + "__main__.felt_divmod_no_input_check.div": 245, + "__main__.felt_divmod_no_input_check.q": 248, + "__main__.felt_divmod_no_input_check.r": 247, + "__main__.felt_divmod_no_input_check.range_check_ptr": 246, + "__main__.felt_divmod_no_input_check.value": 244 + } + } + } + ], + "528": [ + { + "accessible_scopes": [ + "__main__", + "__main__.get_felt_bitlength" + ], + "code": "x = ids.x\nids.bit_length = x.bit_length()", + "flow_tracking_data": { + "ap_tracking": { + "group": 25, + "offset": 1 + }, + "reference_ids": { + "__main__.get_felt_bitlength.bit_length": 256, + "__main__.get_felt_bitlength.bitwise_ptr": 255, + "__main__.get_felt_bitlength.range_check_ptr": 254, + "__main__.get_felt_bitlength.x": 253 + } + } + } + ] + }, + "identifiers": { + "__main__.BitwiseBuiltin": { + "destination": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin", + "type": "alias" + }, + "__main__.Uint256": { + "destination": "starkware.cairo.common.uint256.Uint256", + "type": "alias" + }, + "__main__.alloc": { + "destination": "starkware.cairo.common.alloc.alloc", + "type": "alias" + }, + "__main__.bitwise_divmod": { + "decorators": [], + "pc": 501, + "type": "function" + }, + "__main__.bitwise_divmod.Args": { + "full_name": "__main__.bitwise_divmod.Args", + "members": { + "x": { + "cairo_type": "felt", + "offset": 0 + }, + "y": { + "cairo_type": "felt", + "offset": 1 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.bitwise_divmod.ImplicitArgs": { + "full_name": "__main__.bitwise_divmod.ImplicitArgs", + "members": { + "bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "offset": 1 + }, + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.bitwise_divmod.Return": { + "cairo_type": "(q: felt, r: felt)", + "type": "type_definition" + }, + "__main__.bitwise_divmod.SIZEOF_LOCALS": { + "type": "const", + "value": 0 + }, + "__main__.bitwise_divmod.__temp88": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.__temp88", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 1 + }, + "pc": 504, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.__temp89": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.__temp89", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 2 + }, + "pc": 506, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.__temp90": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.__temp90", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 3 + }, + "pc": 507, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.bitwise_ptr": { + "cairo_type": "starkware.cairo.common.cairo_builtins.BitwiseBuiltin*", + "full_name": "__main__.bitwise_divmod.bitwise_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 0 + }, + "pc": 501, + "value": "[cast(fp + (-5), starkware.cairo.common.cairo_builtins.BitwiseBuiltin**)]" + }, + { + "ap_tracking_data": { + "group": 23, + "offset": 1 + }, + "pc": 505, + "value": "cast([fp + (-5)] + 5, starkware.cairo.common.cairo_builtins.BitwiseBuiltin*)" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.range_check_ptr": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.range_check_ptr", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 0 + }, + "pc": 501, + "value": "[cast(fp + (-6), felt*)]" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.x": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.x", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 0 + }, + "pc": 501, + "value": "[cast(fp + (-4), felt*)]" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.x_and_y": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.x_and_y", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 1 + }, + "pc": 505, + "value": "[cast([fp + (-5)] + 2, felt*)]" + } + ], + "type": "reference" + }, + "__main__.bitwise_divmod.y": { + "cairo_type": "felt", + "full_name": "__main__.bitwise_divmod.y", + "references": [ + { + "ap_tracking_data": { + "group": 23, + "offset": 0 + }, + "pc": 501, + "value": "[cast(fp + (-3), felt*)]" + } + ], + "type": "reference" + }, + "__main__.felt_divmod": { + "destination": "starkware.cairo.common.math.unsigned_div_rem", + "type": "alias" + }, + "__main__.felt_divmod_no_input_check": { + "decorators": [], + "pc": 513, + "type": "function" + }, + "__main__.felt_divmod_no_input_check.Args": { + "full_name": "__main__.felt_divmod_no_input_check.Args", + "members": { + "div": { + "cairo_type": "felt", + "offset": 1 + }, + "value": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 2, + "type": "struct" + }, + "__main__.felt_divmod_no_input_check.ImplicitArgs": { + "full_name": "__main__.felt_divmod_no_input_check.ImplicitArgs", + "members": { + "range_check_ptr": { + "cairo_type": "felt", + "offset": 0 + } + }, + "size": 1, + "type": "struct" + }, + "__main__.felt_divmod_no_input_check.Return": { + "cairo_type": "(q: felt, r: felt)", + "type": "type_definition" + }, + "__main__.felt_divmod_no_input_check.SIZEOF_LOCALS": { + "type": "const", + "value": 2 + }, + "__main__.felt_divmod_no_input_check.__temp91": { + "cairo_type": "felt", + "full_name": "__main__.felt_divmod_no_input_check.__temp91", + "references": [ + { + "ap_tracking_data": { + "group": 24, + "offset": 3 + }, + "pc": 517, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.felt_divmod_no_input_check.__temp92": { + "cairo_type": "felt", + "full_name": "__main__.felt_divmod_no_input_check.__temp92", + "references": [ + { + "ap_tracking_data": { + "group": 24, + "offset": 4 + }, + "pc": 518, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.felt_divmod_no_input_check.__temp93": { + "cairo_type": "felt", + "full_name": "__main__.felt_divmod_no_input_check.__temp93", + "references": [ + { + "ap_tracking_data": { + "group": 24, + "offset": 5 + }, + "pc": 520, + "value": "[cast(ap + (-1), felt*)]" + } + ], + "type": "reference" + }, + "__main__.felt_divmod_no_input_check.div": { + "cairo_type": "felt", + "full_name": "__main__.felt_divmod_no_input_check.div", + "references": [ + { + "ap_tracking_data": { + "group": 24, + "offset": 0 + }, + "pc": 513, + "value": "[cast(fp + (-3), felt*)]" + } + ], + "type": "reference" + }, + "__main__.felt_divmod_no_input_check.q": { + "cairo_type": "felt", + "full_name": "__main__.felt_divmod_no_input_check.q", + "references": [ + { + "ap_tracking_data": { + "group": 24, + "offset": 2 + }, + "pc": 515, + "value": "[cast(fp + 1, felt*)]" + } + ], + "type": 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+15,104 @@ pub fn main() void { layout: []const u8, extensive_hints: bool = false, }{ + .{ .pathname = "cairo_programs/abs_value_array_compiled.json", .layout = "all_cairo" }, + // TODO: UnknownOp0 error + // .{ .pathname = "cairo_programs/array_sum_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/assert_lt_felt.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/assert_250_bit_element_array_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/assert_le_felt_hint_compiled.json", .layout = "all_cairo" }, + // .{ .pathname = "cairo_programs/assert_le_felt_old_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/assert_nn_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/assert_not_zero_compiled.json", .layout = "all_cairo" }, + // TODO: merge bigint hint + // .{ .pathname = "cairo_programs/bigint_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/big_struct_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/bitand_hint_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/bitwise_output_compiled.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/bitwise_builtin_test.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/bitwise_recursion_compiled.json", .layout = "all_cairo" }, + // TODO: merge blake hint + // .{ .pathname = "cairo_programs/blake2s_felts.json", .layout = "all_cairo" }, + // .{ .pathname = "cairo_programs/blake2s_hello_world_hash.json", .layout = "all_cairo" }, + // .{ .pathname = "cairo_programs/blake2s_integration_tests.json", .layout = "all_cairo" }, + // TODO: implement cairo keccak + // .{ .pathname = "cairo_programs/cairo_finalize_keccak_compiled.json", .layout = "all_cairo" }, + // .{ .pathname = "cairo_programs/cairo_finalize_keccak_block_size_1000.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/call_function_assign_param_by_name.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp1 error + // .{ .pathname = "cairo_programs/chained_ec_op.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/common_signature.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp1 error + // .{ .pathname = "cairo_programs/compare_arrays.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/compare_different_arrays.json", .layout = "all_cairo" }, + // TODO: NoDst error + // .{ .pathname = "cairo_programs/compare_greater_array.json", .layout = "all_cairo" }, + // TODO: NoDst error + // .{ .pathname = "cairo_programs/compare_lesser_array.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 + // .{ .pathname = "cairo_programs/compute_doubling_slope_v2.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 + // .{ .pathname = "cairo_programs/compute_slope_v2.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/dict.json", .layout = "all_cairo" }, + // TODO: RelocatableAdd error + // .{ .pathname = "cairo_programs/dict_integration_tests.json", .layout = "all_cairo" }, + // TODO: RelocatableAdd error + // .{ .pathname = "cairo_programs/dict_squash.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/dict_store_cast_ptr.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/dict_update.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/div_mod_n.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ec_double_assign_new_x_v3.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ec_double_slope.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ec_double_v4.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ec_negate.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp1 error + // .{ .pathname = "cairo_programs/ec_op.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ec_recover.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ed25519_ec.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/ed25519_field.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/efficient_secp256r1_ec.json", .layout = "all_cairo" }, + // TODO: merge blake hint + // .{ .pathname = "cairo_programs/example_blake2s.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/example_program.json", .layout = "all_cairo" }, .{ .pathname = "cairo_programs/factorial.json", .layout = "plain" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/fast_ec_add_v2.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/fast_ec_add_v3.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/field_arithmetic.json", .layout = "all_cairo" }, .{ .pathname = "cairo_programs/fibonacci.json", .layout = "plain" }, - .{ .pathname = "cairo_programs/bitwise_builtin_test.json", .layout = "all_cairo" }, - .{ .pathname = "cairo_programs/assert_lt_felt.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp0 error + // .{ .pathname = "cairo_programs/field_arithmetic.json", .layout = "all_cairo" }, + // TODO: merge blake hint + // .{ .pathname = "cairo_programs/finalize_blake2s.json", .layout = "all_cairo" }, + // TODO: merge blake hint + // .{ .pathname = "cairo_programs/finalize_blake2s_v2_hint.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/find_element.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/fq.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp1 error + // .{ .pathname = "cairo_programs/fq_test.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/function_return.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/function_return_if_print.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/function_return_to_variable.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/garaga.json", .layout = "all_cairo" }, + // TODO: FailedToComputeOp1 error + // .{ .pathname = "cairo_programs/highest_bitlen.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/if_and_prime.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/if_in_function.json", .layout = "all_cairo" }, + .{ .pathname = "cairo_programs/if_list.json", .layout = "all_cairo" }, + // TODO: UnknownOp0 error + // .{ .pathname = "cairo_programs/if_reloc_equal.json", .layout = "all_cairo" }, + // .{ .pathname = "cairo_programs/keccak_compiled.json", .layout = "all_cairo" }, .{ .pathname = "cairo_programs/keccak_builtin.json", .layout = "all_cairo" }, // .{ .pathname = "cairo_programs/keccak_integration_tests.json", .layout = "all_cairo" },