{"abstract":"The bottom stage restarts from the unclipped source polygon, discarding the left and right clipping.","category":"Raster clipping","checks":12,"contract":"Each command is a polygon vertex list with exact coordinates. It is clipped in continuous raster coordinates against x>=0, x<=size, y>=0 and y<=size in that order with Sutherland-Hodgman: each stage walks edges from the previous vertex to the current vertex, emits the boundary intersection when entering before the inside vertex, emits the intersection when leaving, and chains its output into the next stage. Boundary points are inside. Cyclically repeated consecutive vertices are then removed; fewer than three remaining vertices yields an empty polygon. Vertices are returned as exact rational strings.","evaluation_group":"s3-raster-clipping-sutherland-hodgman-raster-rect","failed_approach":"Falling back to the source only when earlier stages emptied the polygon resurrects fully rejected polygons.","family":"s3-raster-clipping-sutherland-hodgman-raster-rect-stage-chaining","id":"FA-51626","implementations":{"attempt":{"sha256":"e092858d5c5fcd99af9788f9984641104988c924c3c8ed08419f974594b45ea3","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(commands, size):\n    def stage(poly,inside,cross):\n        res=[]\n        for i in range(len(poly)):\n            cur=poly[i]\n            prev=poly[i-1]\n            if inside(cur):\n                if not inside(prev): res.append(cross(prev,cur))\n                res.append(cur)\n            elif inside(prev):\n                res.append(cross(prev,cur))\n        return res\n    def at_x(k):\n        return lambda p,c: (Fraction(k),p[1]+(c[1]-p[1])*(k-p[0])/(c[0]-p[0]))\n    def at_y(k):\n        return lambda p,c: (p[0]+(c[0]-p[0])*(k-p[1])/(c[1]-p[1]),Fraction(k))\n    out=[]\n    for poly in commands:\n        src=[(Fraction(x),Fraction(y)) for x,y in poly]\n        pts=stage(src,lambda p:p[0]>=0,at_x(0))\n        pts=stage(pts,lambda p:p[0]<=size,at_x(size))\n        pts=stage(pts or src,lambda p:p[1]>=0,at_y(0))\n        pts=stage(pts,lambda p:p[1]<=size,at_y(size))\n        clean=[p for i,p in enumerate(pts) if p!=pts[i-1]]\n        if len(clean)<3: clean=[]\n        out.append([[str(x),str(y)] for x,y in clean])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nif N == 1:\n    check('explicit case 0', solve([[[1, 1], [5, 1], [5, 5], [1, 5]]], 6), [[['1', '1'], ['5', '1'], ['5', '5'], ['1', '5']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 6), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [8, 2], [2, 4]]], 6), [[['1', '1'], ['6', '12/7'], ['6', '8/3'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [8, -2], [8, 8], [-2, 8]]], 6), [[['0', '6'], ['0', '0'], ['6', '0'], ['6', '6']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 6), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 6), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 6), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 6), [[]])\n    check('explicit case 8', solve([[[1, 1], [7, 1], [1, 9]]], 6), [[['1', '6'], ['1', '1'], ['6', '1'], ['6', '7/3'], ['13/4', '6']]])\n    check('explicit case 9', solve([[['1/2', 2], [6, 2], [6, 5]]], 6), [[['1/2', '2'], ['6', '2'], ['6', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 6), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [8, 3], [6, 4], [5, 1]]], 6), [[['3', '1'], ['6', '11/5'], ['6', '4'], ['5', '1']]])\nif N == 2:\n    check('explicit case 0', solve([[[1, 1], [6, 1], [6, 6], [1, 6]]], 7), [[['1', '1'], ['6', '1'], ['6', '6'], ['1', '6']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 7), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [9, 2], [2, 4]]], 7), [[['1', '1'], ['7', '7/4'], ['7', '18/7'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [9, -2], [9, 9], [-2, 9]]], 7), [[['0', '7'], ['0', '0'], ['7', '0'], ['7', '7']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 7), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 7), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 7), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 7), [[]])\n    check('explicit case 8', solve([[[1, 1], [8, 1], [1, 10]]], 7), [[['1', '7'], ['1', '1'], ['7', '1'], ['7', '16/7'], ['10/3', '7']]])\n    check('explicit case 9', solve([[['1/2', 2], [7, 2], [7, 5]]], 7), [[['1/2', '2'], ['7', '2'], ['7', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 7), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [9, 3], [7, 4], [6, 1]]], 7), [[['3', '1'], ['7', '7/3'], ['7', '4'], ['6', '1']]])\nif N == 3:\n    check('explicit case 0', solve([[[1, 1], [7, 1], [7, 7], [1, 7]]], 8), [[['1', '1'], ['7', '1'], ['7', '7'], ['1', '7']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 8), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [10, 2], [2, 4]]], 8), [[['1', '1'], ['8', '16/9'], ['8', '5/2'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [10, -2], [10, 10], [-2, 10]]], 8), [[['0', '8'], ['0', '0'], ['8', '0'], ['8', '8']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 8), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 8), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 8), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 8), [[]])\n    check('explicit case 8', solve([[[1, 1], [9, 1], [1, 11]]], 8), [[['1', '8'], ['1', '1'], ['8', '1'], ['8', '9/4'], ['17/5', '8']]])\n    check('explicit case 9', solve([[['1/2', 2], [8, 2], [8, 5]]], 8), [[['1/2', '2'], ['8', '2'], ['8', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 8), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [10, 3], [8, 4], [7, 1]]], 8), [[['3', '1'], ['8', '17/7'], ['8', '4'], ['7', '1']]])\nif N == 4:\n    check('explicit case 0', solve([[[1, 1], [8, 1], [8, 8], [1, 8]]], 9), [[['1', '1'], ['8', '1'], ['8', '8'], ['1', '8']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 9), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [11, 2], [2, 4]]], 9), [[['1', '1'], ['9', '9/5'], ['9', '22/9'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [11, -2], [11, 11], [-2, 11]]], 9), [[['0', '9'], ['0', '0'], ['9', '0'], ['9', '9']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 9), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 9), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 9), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 9), [[]])\n    check('explicit case 8', solve([[[1, 1], [10, 1], [1, 12]]], 9), [[['1', '9'], ['1', '1'], ['9', '1'], ['9', '20/9'], ['38/11', '9']]])\n    check('explicit case 9', solve([[['1/2', 2], [9, 2], [9, 5]]], 9), [[['1/2', '2'], ['9', '2'], ['9', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 9), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [11, 3], [9, 4], [8, 1]]], 9), [[['3', '1'], ['9', '5/2'], ['9', '4'], ['8', '1']]])\nif N == 5:\n    check('explicit case 0', solve([[[1, 1], [9, 1], [9, 9], [1, 9]]], 10), [[['1', '1'], ['9', '1'], ['9', '9'], ['1', '9']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 10), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [12, 2], [2, 4]]], 10), [[['1', '1'], ['10', '20/11'], ['10', '12/5'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [12, -2], [12, 12], [-2, 12]]], 10), [[['0', '10'], ['0', '0'], ['10', '0'], ['10', '10']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 10), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 10), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 10), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 10), [[]])\n    check('explicit case 8', solve([[[1, 1], [11, 1], [1, 13]]], 10), [[['1', '10'], ['1', '1'], ['10', '1'], ['10', '11/5'], ['7/2', '10']]])\n    check('explicit case 9', solve([[['1/2', 2], [10, 2], [10, 5]]], 10), [[['1/2', '2'], ['10', '2'], ['10', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 10), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [12, 3], [10, 4], [9, 1]]], 10), [[['3', '1'], ['10', '23/9'], ['10', '4'], ['9', '1']]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"e9e8427bfe9aa17847aae28ce4b54513f8b06342f15b12a817c308d88d0b434a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(commands, size):\n    def stage(poly,inside,cross):\n        res=[]\n        for i in range(len(poly)):\n            cur=poly[i]\n            prev=poly[i-1]\n            if inside(cur):\n                if not inside(prev): res.append(cross(prev,cur))\n                res.append(cur)\n            elif inside(prev):\n                res.append(cross(prev,cur))\n        return res\n    def at_x(k):\n        return lambda p,c: (Fraction(k),p[1]+(c[1]-p[1])*(k-p[0])/(c[0]-p[0]))\n    def at_y(k):\n        return lambda p,c: (p[0]+(c[0]-p[0])*(k-p[1])/(c[1]-p[1]),Fraction(k))\n    out=[]\n    for poly in commands:\n        src=[(Fraction(x),Fraction(y)) for x,y in poly]\n        pts=stage(src,lambda p:p[0]>=0,at_x(0))\n        pts=stage(pts,lambda p:p[0]<=size,at_x(size))\n        pts=stage(src,lambda p:p[1]>=0,at_y(0))\n        pts=stage(pts,lambda p:p[1]<=size,at_y(size))\n        clean=[p for i,p in enumerate(pts) if p!=pts[i-1]]\n        if len(clean)<3: clean=[]\n        out.append([[str(x),str(y)] for x,y in clean])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nif N == 1:\n    check('explicit case 0', solve([[[1, 1], [5, 1], [5, 5], [1, 5]]], 6), [[['1', '1'], ['5', '1'], ['5', '5'], ['1', '5']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 6), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [8, 2], [2, 4]]], 6), [[['1', '1'], ['6', '12/7'], ['6', '8/3'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [8, -2], [8, 8], [-2, 8]]], 6), [[['0', '6'], ['0', '0'], ['6', '0'], ['6', '6']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 6), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 6), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 6), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 6), [[]])\n    check('explicit case 8', solve([[[1, 1], [7, 1], [1, 9]]], 6), [[['1', '6'], ['1', '1'], ['6', '1'], ['6', '7/3'], ['13/4', '6']]])\n    check('explicit case 9', solve([[['1/2', 2], [6, 2], [6, 5]]], 6), [[['1/2', '2'], ['6', '2'], ['6', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 6), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [8, 3], [6, 4], [5, 1]]], 6), [[['3', '1'], ['6', '11/5'], ['6', '4'], ['5', '1']]])\nif N == 2:\n    check('explicit case 0', solve([[[1, 1], [6, 1], [6, 6], [1, 6]]], 7), [[['1', '1'], ['6', '1'], ['6', '6'], ['1', '6']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 7), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [9, 2], [2, 4]]], 7), [[['1', '1'], ['7', '7/4'], ['7', '18/7'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [9, -2], [9, 9], [-2, 9]]], 7), [[['0', '7'], ['0', '0'], ['7', '0'], ['7', '7']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 7), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 7), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 7), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 7), [[]])\n    check('explicit case 8', solve([[[1, 1], [8, 1], [1, 10]]], 7), [[['1', '7'], ['1', '1'], ['7', '1'], ['7', '16/7'], ['10/3', '7']]])\n    check('explicit case 9', solve([[['1/2', 2], [7, 2], [7, 5]]], 7), [[['1/2', '2'], ['7', '2'], ['7', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 7), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [9, 3], [7, 4], [6, 1]]], 7), [[['3', '1'], ['7', '7/3'], ['7', '4'], ['6', '1']]])\nif N == 3:\n    check('explicit case 0', solve([[[1, 1], [7, 1], [7, 7], [1, 7]]], 8), [[['1', '1'], ['7', '1'], ['7', '7'], ['1', '7']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 8), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [10, 2], [2, 4]]], 8), [[['1', '1'], ['8', '16/9'], ['8', '5/2'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [10, -2], [10, 10], [-2, 10]]], 8), [[['0', '8'], ['0', '0'], ['8', '0'], ['8', '8']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 8), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 8), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 8), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 8), [[]])\n    check('explicit case 8', solve([[[1, 1], [9, 1], [1, 11]]], 8), [[['1', '8'], ['1', '1'], ['8', '1'], ['8', '9/4'], ['17/5', '8']]])\n    check('explicit case 9', solve([[['1/2', 2], [8, 2], [8, 5]]], 8), [[['1/2', '2'], ['8', '2'], ['8', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 8), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [10, 3], [8, 4], [7, 1]]], 8), [[['3', '1'], ['8', '17/7'], ['8', '4'], ['7', '1']]])\nif N == 4:\n    check('explicit case 0', solve([[[1, 1], [8, 1], [8, 8], [1, 8]]], 9), [[['1', '1'], ['8', '1'], ['8', '8'], ['1', '8']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 9), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [11, 2], [2, 4]]], 9), [[['1', '1'], ['9', '9/5'], ['9', '22/9'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [11, -2], [11, 11], [-2, 11]]], 9), [[['0', '9'], ['0', '0'], ['9', '0'], ['9', '9']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 9), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 9), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 9), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 9), [[]])\n    check('explicit case 8', solve([[[1, 1], [10, 1], [1, 12]]], 9), [[['1', '9'], ['1', '1'], ['9', '1'], ['9', '20/9'], ['38/11', '9']]])\n    check('explicit case 9', solve([[['1/2', 2], [9, 2], [9, 5]]], 9), [[['1/2', '2'], ['9', '2'], ['9', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 9), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [11, 3], [9, 4], [8, 1]]], 9), [[['3', '1'], ['9', '5/2'], ['9', '4'], ['8', '1']]])\nif N == 5:\n    check('explicit case 0', solve([[[1, 1], [9, 1], [9, 9], [1, 9]]], 10), [[['1', '1'], ['9', '1'], ['9', '9'], ['1', '9']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 10), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [12, 2], [2, 4]]], 10), [[['1', '1'], ['10', '20/11'], ['10', '12/5'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [12, -2], [12, 12], [-2, 12]]], 10), [[['0', '10'], ['0', '0'], ['10', '0'], ['10', '10']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 10), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 10), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 10), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 10), [[]])\n    check('explicit case 8', solve([[[1, 1], [11, 1], [1, 13]]], 10), [[['1', '10'], ['1', '1'], ['10', '1'], ['10', '11/5'], ['7/2', '10']]])\n    check('explicit case 9', solve([[['1/2', 2], [10, 2], [10, 5]]], 10), [[['1/2', '2'], ['10', '2'], ['10', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 10), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [12, 3], [10, 4], [9, 1]]], 10), [[['3', '1'], ['10', '23/9'], ['10', '4'], ['9', '1']]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"ab21f2e9e146d816b085b450cb29ce9d1e9f0ceeca9470bda8e5c19fd961fa8b","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(commands, size):\n    def stage(poly,inside,cross):\n        res=[]\n        for i in range(len(poly)):\n            cur=poly[i]\n            prev=poly[i-1]\n            if inside(cur):\n                if not inside(prev): res.append(cross(prev,cur))\n                res.append(cur)\n            elif inside(prev):\n                res.append(cross(prev,cur))\n        return res\n    def at_x(k):\n        return lambda p,c: (Fraction(k),p[1]+(c[1]-p[1])*(k-p[0])/(c[0]-p[0]))\n    def at_y(k):\n        return lambda p,c: (p[0]+(c[0]-p[0])*(k-p[1])/(c[1]-p[1]),Fraction(k))\n    out=[]\n    for poly in commands:\n        src=[(Fraction(x),Fraction(y)) for x,y in poly]\n        pts=stage(src,lambda p:p[0]>=0,at_x(0))\n        pts=stage(pts,lambda p:p[0]<=size,at_x(size))\n        pts=stage(pts,lambda p:p[1]>=0,at_y(0))\n        pts=stage(pts,lambda p:p[1]<=size,at_y(size))\n        clean=[p for i,p in enumerate(pts) if p!=pts[i-1]]\n        if len(clean)<3: clean=[]\n        out.append([[str(x),str(y)] for x,y in clean])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nif N == 1:\n    check('explicit case 0', solve([[[1, 1], [5, 1], [5, 5], [1, 5]]], 6), [[['1', '1'], ['5', '1'], ['5', '5'], ['1', '5']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 6), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [8, 2], [2, 4]]], 6), [[['1', '1'], ['6', '12/7'], ['6', '8/3'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [8, -2], [8, 8], [-2, 8]]], 6), [[['0', '6'], ['0', '0'], ['6', '0'], ['6', '6']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 6), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 6), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 6), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 6), [[]])\n    check('explicit case 8', solve([[[1, 1], [7, 1], [1, 9]]], 6), [[['1', '6'], ['1', '1'], ['6', '1'], ['6', '7/3'], ['13/4', '6']]])\n    check('explicit case 9', solve([[['1/2', 2], [6, 2], [6, 5]]], 6), [[['1/2', '2'], ['6', '2'], ['6', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 6), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [8, 3], [6, 4], [5, 1]]], 6), [[['3', '1'], ['6', '11/5'], ['6', '4'], ['5', '1']]])\nif N == 2:\n    check('explicit case 0', solve([[[1, 1], [6, 1], [6, 6], [1, 6]]], 7), [[['1', '1'], ['6', '1'], ['6', '6'], ['1', '6']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 7), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [9, 2], [2, 4]]], 7), [[['1', '1'], ['7', '7/4'], ['7', '18/7'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [9, -2], [9, 9], [-2, 9]]], 7), [[['0', '7'], ['0', '0'], ['7', '0'], ['7', '7']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 7), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 7), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 7), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 7), [[]])\n    check('explicit case 8', solve([[[1, 1], [8, 1], [1, 10]]], 7), [[['1', '7'], ['1', '1'], ['7', '1'], ['7', '16/7'], ['10/3', '7']]])\n    check('explicit case 9', solve([[['1/2', 2], [7, 2], [7, 5]]], 7), [[['1/2', '2'], ['7', '2'], ['7', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 7), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [9, 3], [7, 4], [6, 1]]], 7), [[['3', '1'], ['7', '7/3'], ['7', '4'], ['6', '1']]])\nif N == 3:\n    check('explicit case 0', solve([[[1, 1], [7, 1], [7, 7], [1, 7]]], 8), [[['1', '1'], ['7', '1'], ['7', '7'], ['1', '7']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 8), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [10, 2], [2, 4]]], 8), [[['1', '1'], ['8', '16/9'], ['8', '5/2'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [10, -2], [10, 10], [-2, 10]]], 8), [[['0', '8'], ['0', '0'], ['8', '0'], ['8', '8']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 8), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 8), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 8), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 8), [[]])\n    check('explicit case 8', solve([[[1, 1], [9, 1], [1, 11]]], 8), [[['1', '8'], ['1', '1'], ['8', '1'], ['8', '9/4'], ['17/5', '8']]])\n    check('explicit case 9', solve([[['1/2', 2], [8, 2], [8, 5]]], 8), [[['1/2', '2'], ['8', '2'], ['8', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 8), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [10, 3], [8, 4], [7, 1]]], 8), [[['3', '1'], ['8', '17/7'], ['8', '4'], ['7', '1']]])\nif N == 4:\n    check('explicit case 0', solve([[[1, 1], [8, 1], [8, 8], [1, 8]]], 9), [[['1', '1'], ['8', '1'], ['8', '8'], ['1', '8']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 9), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [11, 2], [2, 4]]], 9), [[['1', '1'], ['9', '9/5'], ['9', '22/9'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [11, -2], [11, 11], [-2, 11]]], 9), [[['0', '9'], ['0', '0'], ['9', '0'], ['9', '9']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 9), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 9), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 9), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 9), [[]])\n    check('explicit case 8', solve([[[1, 1], [10, 1], [1, 12]]], 9), [[['1', '9'], ['1', '1'], ['9', '1'], ['9', '20/9'], ['38/11', '9']]])\n    check('explicit case 9', solve([[['1/2', 2], [9, 2], [9, 5]]], 9), [[['1/2', '2'], ['9', '2'], ['9', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 9), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [11, 3], [9, 4], [8, 1]]], 9), [[['3', '1'], ['9', '5/2'], ['9', '4'], ['8', '1']]])\nif N == 5:\n    check('explicit case 0', solve([[[1, 1], [9, 1], [9, 9], [1, 9]]], 10), [[['1', '1'], ['9', '1'], ['9', '9'], ['1', '9']]])\n    check('explicit case 1', solve([[[-2, 1], [3, 1], [3, 4]]], 10), [[['0', '11/5'], ['0', '1'], ['3', '1'], ['3', '4']]])\n    check('explicit case 2', solve([[[1, 1], [12, 2], [2, 4]]], 10), [[['1', '1'], ['10', '20/11'], ['10', '12/5'], ['2', '4']]])\n    check('explicit case 3', solve([[[-2, -2], [12, -2], [12, 12], [-2, 12]]], 10), [[['0', '10'], ['0', '0'], ['10', '0'], ['10', '10']]])\n    check('explicit case 4', solve([[[2, -3], [4, 2], [1, 3]]], 10), [[['3/2', '0'], ['16/5', '0'], ['4', '2'], ['1', '3']]])\n    check('explicit case 5', solve([[[-3, 1], [-1, 1], [-2, 3]]], 10), [[]])\n    check('explicit case 6', solve([[[0, 1], [0, 3], [-2, 2]]], 10), [[]])\n    check('explicit case 7', solve([[[0, 0], [-1, -2], [-2, -1]]], 10), [[]])\n    check('explicit case 8', solve([[[1, 1], [11, 1], [1, 13]]], 10), [[['1', '10'], ['1', '1'], ['10', '1'], ['10', '11/5'], ['7/2', '10']]])\n    check('explicit case 9', solve([[['1/2', 2], [10, 2], [10, 5]]], 10), [[['1/2', '2'], ['10', '2'], ['10', '5']]])\n    check('explicit case 10', solve([[[-2, 2], [2, 1], [0, 3]]], 10), [[['0', '3/2'], ['2', '1'], ['0', '3']]])\n    check('explicit case 11', solve([[[3, 1], [12, 3], [10, 4], [9, 1]]], 10), [[['3', '1'], ['10', '23/9'], ['10', '4'], ['9', '1']]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Exact integer/rational arithmetic on small stipulated fixtures models the clipping decision only; no memory layout, GPU pipeline, graphics API or standards conformance is claimed. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"s3-raster-clipping-sutherland-hodgman-raster-rect-stage-chaining","generated_at":"2026-09-29T14:45:20.797764+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Raster clipping decides which pixels a primitive may touch; a single wrong clip decision writes outside the target or scissor, or silently drops visible coverage.","repair":"Restore the specified clipping decision at stage chaining. Each command is a polygon vertex list with exact coordinates. It is clipped in continuous raster coordinates against x>=0, x<=size, y>=0 and y<=size in that order with Sutherland-Hodgman: each stage walks edges from the previous vertex to the current vertex, emits the boundary intersection when entering before the inside vertex, emits the intersection when leaving, and chains its output into the next stage. Boundary points are inside. Cyclically repeated consecutive vertices are then removed; fewer than three remaining vertices yields an empty polygon. Vertices are returned as exact rational strings.","root_cause":"The bottom stage restarts from the unclipped source polygon, discarding the left and right clipping.","sha256":"2f13707320c037bcd51594a50ecc9a400bdd800fcbd290a70e8bafd4e3ab1dae","title":"Sutherland hodgman raster rect: stage chaining · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":44.041,"exit_code":1,"observations":[{"actual":[[["1","1"],["5","1"],["5","5"],["1","5"]]],"check":"explicit case 0","expected":[[["1","1"],["5","1"],["5","5"],["1","5"]]],"passed":true},{"actual":[[["0","11/5"],["0","1"],["3","1"],["3","4"]]],"check":"explicit case 1","expected":[[["0","11/5"],["0","1"],["3","1"],["3","4"]]],"passed":true},{"actual":[[["1","1"],["6","12/7"],["6","8/3"],["2","4"]]],"check":"explicit case 2","expected":[[["1","1"],["6","12/7"],["6","8/3"],["2","4"]]],"passed":true},{"actual":[[["0","6"],["0","0"],["6","0"],["6","6"]]],"check":"explicit case 3","expected":[[["0","6"],["0","0"],["6","0"],["6","6"]]],"passed":true},{"actual":[[["3/2","0"],["16/5","0"],["4","2"],["1","3"]]],"check":"explicit case 4","expected":[[["3/2","0"],["16/5","0"],["4","2"],["1","3"]]],"passed":true},{"actual":[[["-3","1"],["-1","1"],["-2","3"]]],"check":"explicit case 5","expected":[[]],"passed":false},{"actual":[[]],"check":"explicit case 6","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit case 7","expected":[[]],"passed":true},{"actual":[[["1","6"],["1","1"],["6","1"],["6","7/3"],["13/4","6"]]],"check":"explicit case 8","expected":[[["1","6"],["1","1"],["6","1"],["6","7/3"],["13/4","6"]]],"passed":true},{"actual":[[["1/2","2"],["6","2"],["6","5"]]],"check":"explicit case 9","expected":[[["1/2","2"],["6","2"],["6","5"]]],"passed":true},{"actual":[[["0","3/2"],["2","1"],["0","3"]]],"check":"explicit case 10","expected":[[["0","3/2"],["2","1"],["0","3"]]],"passed":true},{"actual":[[["3","1"],["6","11/5"],["6","4"],["5","1"]]],"check":"explicit case 11","expected":[[["3","1"],["6","11/5"],["6","4"],["5","1"]]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit case 0\", \"actual\": [[[\"1\", \"1\"], [\"5\", \"1\"], [\"5\", \"5\"], [\"1\", \"5\"]]], \"expected\": [[[\"1\", \"1\"], [\"5\", \"1\"], [\"5\", \"5\"], [\"1\", \"5\"]]], \"passed\": true}, {\"check\": \"explicit case 1\", \"actual\": [[[\"0\", \"11/5\"], [\"0\", \"1\"], [\"3\", \"1\"], [\"3\", \"4\"]]], \"expected\": [[[\"0\", \"11/5\"], [\"0\", \"1\"], [\"3\", \"1\"], [\"3\", \"4\"]]], \"passed\": true}, {\"check\": \"explicit case 2\", \"actual\": [[[\"1\", \"1\"], [\"6\", \"12/7\"], [\"6\", \"8/3\"], [\"2\", \"4\"]]], \"expected\": [[[\"1\", \"1\"], [\"6\", \"12/7\"], [\"6\", \"8/3\"], [\"2\", \"4\"]]], \"passed\": true}, {\"check\": \"explicit case 3\", \"actual\": [[[\"0\", \"6\"], [\"0\", \"0\"], [\"6\", \"0\"], [\"6\", \"6\"]]], \"expected\": [[[\"0\", \"6\"], [\"0\", \"0\"], [\"6\", \"0\"], [\"6\", \"6\"]]], \"passed\": true}, {\"check\": \"explicit case 4\", \"actual\": [[[\"3/2\", \"0\"], [\"16/5\", \"0\"], [\"4\", \"2\"], [\"1\", \"3\"]]], \"expected\": [[[\"3/2\", \"0\"], [\"16/5\", \"0\"], [\"4\", \"2\"], [\"1\", \"3\"]]], \"passed\": true}, {\"check\": \"explicit case 5\", \"actual\": [[[\"-3\", \"1\"], [\"-1\", \"1\"], [\"-2\", \"3\"]]], \"expected\": [[]], \"passed\": false}, {\"check\": \"explicit case 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit case 7\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit case 8\", \"actual\": [[[\"1\", \"6\"], [\"1\", \"1\"], [\"6\", \"1\"], [\"6\", \"7/3\"], [\"13/4\", \"6\"]]], \"expected\": [[[\"1\", \"6\"], [\"1\", \"1\"], [\"6\", \"1\"], [\"6\", \"7/3\"], [\"13/4\", \"6\"]]], \"passed\": true}, {\"check\": \"explicit case 9\", \"actual\": [[[\"1/2\", \"2\"], [\"6\", \"2\"], [\"6\", \"5\"]]], \"expected\": [[[\"1/2\", \"2\"], [\"6\", \"2\"], [\"6\", \"5\"]]], \"passed\": true}, {\"check\": \"explicit case 10\", \"actual\": [[[\"0\", \"3/2\"], [\"2\", \"1\"], [\"0\", \"3\"]]], \"expected\": [[[\"0\", \"3/2\"], [\"2\", \"1\"], [\"0\", \"3\"]]], \"passed\": true}, {\"check\": \"explicit case 11\", \"actual\": [[[\"3\", \"1\"], [\"6\", \"11/5\"], [\"6\", \"4\"], [\"5\", \"1\"]]], \"expected\": [[[\"3\", \"1\"], [\"6\", \"11/5\"], [\"6\", \"4\"], [\"5\", \"1\"]]], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":46.369,"exit_code":1,"observations":[{"actual":[[["1","1"],["5","1"],["5","5"],["1","5"]]],"check":"explicit case 0","expected":[[["1","1"],["5","1"],["5","5"],["1","5"]]],"passed":true},{"actual":[[["-2","1"],["3","1"],["3","4"]]],"check":"explicit case 1","expected":[[["0","11/5"],["0","1"],["3","1"],["3","4"]]],"passed":false},{"actual":[[["1","1"],["8","2"],["2","4"]]],"check":"explicit case 2","expected":[[["1","1"],["6","12/7"],["6","8/3"],["2","4"]]],"passed":false},{"actual":[[["-2","6"],["-2","0"],["8","0"],["8","6"]]],"check":"explicit case 3","expected":[[["0","6"],["0","0"],["6","0"],["6","6"]]],"passed":false},{"actual":[[["3/2","0"],["16/5","0"],["4","2"],["1","3"]]],"check":"explicit case 4","expected":[[["3/2","0"],["16/5","0"],["4","2"],["1","3"]]],"passed":true},{"actual":[[["-3","1"],["-1","1"],["-2","3"]]],"check":"explicit case 5","expected":[[]],"passed":false},{"actual":[[["0","1"],["0","3"],["-2","2"]]],"check":"explicit case 6","expected":[[]],"passed":false},{"actual":[[]],"check":"explicit case 7","expected":[[]],"passed":true},{"actual":[[["1","6"],["1","1"],["7","1"],["13/4","6"]]],"check":"explicit case 8","expected":[[["1","6"],["1","1"],["6","1"],["6","7/3"],["13/4","6"]]],"passed":false},{"actual":[[["1/2","2"],["6","2"],["6","5"]]],"check":"explicit case 9","expected":[[["1/2","2"],["6","2"],["6","5"]]],"passed":true},{"actual":[[["-2","2"],["2","1"],["0","3"]]],"check":"explicit case 10","expected":[[["0","3/2"],["2","1"],["0","3"]]],"passed":false},{"actual":[[["3","1"],["8","3"],["6","4"],["5","1"]]],"check":"explicit case 11","expected":[[["3","1"],["6","11/5"],["6","4"],["5","1"]]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit case 0\", \"actual\": [[[\"1\", \"1\"], [\"5\", \"1\"], [\"5\", \"5\"], [\"1\", \"5\"]]], \"expected\": [[[\"1\", \"1\"], [\"5\", \"1\"], [\"5\", \"5\"], [\"1\", \"5\"]]], \"passed\": true}, {\"check\": \"explicit case 1\", \"actual\": [[[\"-2\", \"1\"], [\"3\", \"1\"], [\"3\", \"4\"]]], \"expected\": [[[\"0\", \"11/5\"], [\"0\", \"1\"], [\"3\", \"1\"], [\"3\", \"4\"]]], \"passed\": false}, {\"check\": \"explicit case 2\", \"actual\": [[[\"1\", \"1\"], [\"8\", \"2\"], [\"2\", \"4\"]]], \"expected\": [[[\"1\", \"1\"], [\"6\", \"12/7\"], [\"6\", \"8/3\"], [\"2\", \"4\"]]], \"passed\": false}, {\"check\": \"explicit case 3\", \"actual\": [[[\"-2\", \"6\"], [\"-2\", \"0\"], [\"8\", \"0\"], [\"8\", \"6\"]]], \"expected\": [[[\"0\", \"6\"], [\"0\", \"0\"], [\"6\", \"0\"], [\"6\", \"6\"]]], \"passed\": false}, {\"check\": \"explicit case 4\", \"actual\": [[[\"3/2\", \"0\"], [\"16/5\", \"0\"], [\"4\", \"2\"], [\"1\", \"3\"]]], \"expected\": [[[\"3/2\", \"0\"], [\"16/5\", \"0\"], [\"4\", \"2\"], [\"1\", \"3\"]]], \"passed\": true}, {\"check\": \"explicit case 5\", \"actual\": [[[\"-3\", \"1\"], [\"-1\", \"1\"], [\"-2\", \"3\"]]], \"expected\": [[]], \"passed\": false}, {\"check\": \"explicit case 6\", \"actual\": [[[\"0\", \"1\"], [\"0\", \"3\"], [\"-2\", \"2\"]]], \"expected\": [[]], \"passed\": false}, {\"check\": \"explicit case 7\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, 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