FA-51706 / Raster clipping / Open access
Scanline polygon span clip: empty span emitted · case 01
Spans clipped to zero width are still emitted.
ROOT CAUSE
Spans clipped to zero width are still emitted.
VERIFIED REPAIR
Restore the specified clipping decision at empty span emitted. Each command is [polygon,scissor]. Rows y in the scissor rows [top,bottom) intersected with [0,size) are sampled at y+1/2. Each polygon edge is oriented bottom to top and contributes a crossing when top<=yc<bottom (half-open in y), interpolated exactly. Crossings are sorted and paired even-odd. A pair covers pixels whose centers x+1/2 satisfy xa<=x+1/2<xb, i.e. [ceil(xa-1/2),ceil(xb-1/2)), then clipped to the scissor columns [left,right) intersected with [0,size). Non-empty spans are returned as [row,start,end].
Unsuccessful approach: Rejecting starts at the right scissor edge still emits zero-width spans elsewhere.
Case contract
Each command is [polygon,scissor]. Rows y in the scissor rows [top,bottom) intersected with [0,size) are sampled at y+1/2. Each polygon edge is oriented bottom to top and contributes a crossing when top<=yc<bottom (half-open in y), interpolated exactly. Crossings are sorted and paired even-odd. A pair covers pixels whose centers x+1/2 satisfy xa<=x+1/2<xb, i.e. [ceil(xa-1/2),ceil(xb-1/2)), then clipped to the scissor columns [left,right) intersected with [0,size). Non-empty spans are returned as [row,start,end].
Why this case matters
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.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(commands, size):
out=[]
for poly,clip in commands:
l,t,r,b=max(clip[0],0),max(clip[1],0),min(clip[2],size),min(clip[3],size)
pts=[(Fraction(x),Fraction(y)) for x,y in poly]
spans=[]
for y in range(t,b):
yc=y+Fraction(1,2)
xs=[]
for i in range(len(pts)):
(ax,ay),(bx,by)=pts[i-1],pts[i]
if ay>by: ax,ay,bx,by=bx,by,ax,ay
if ay<=yc<by:
xs.append(ax+(bx-ax)*(yc-ay)/(by-ay))
xs.sort()
for j in range(0,len(xs)-1,2):
start=math.ceil(xs[j]-Fraction(1,2))
end=math.ceil(xs[j+1]-Fraction(1,2))
start,end=max(start,l),min(end,r)
if start<=end: spans.append([y,start,end])
out.append(spans)
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit case 0', solve([[[[1, 1], [5, 1], [5, 5], [1, 5]], [0, 0, 6, 6]]], 6), [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 6, 6]]], 6), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 6, 6]]], 6), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 6, 6]]], 6), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 6, 6]]], 6), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [6, 0], [6, 6], [0, 6]], [2, 1, 4, 3]]], 6), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 6, 6]]], 6), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [8, 0], [8, 2], [-2, 2]], [0, 0, 6, 6]]], 6), [[[0, 0, 6], [1, 0, 6]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 6, 6]]], 6), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 6, 6]]], 6), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 6, 6]]], 6), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 6, 6]]], 6), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 6, 6]]], 6), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 2:
check('explicit case 0', solve([[[[1, 1], [6, 1], [6, 6], [1, 6]], [0, 0, 7, 7]]], 7), [[[1, 1, 6], [2, 1, 6], [3, 1, 6], [4, 1, 6], [5, 1, 6]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 7, 7]]], 7), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 7, 7]]], 7), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 7, 7]]], 7), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 7, 7]]], 7), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [7, 0], [7, 7], [0, 7]], [2, 1, 4, 3]]], 7), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 7, 7]]], 7), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [9, 0], [9, 2], [-2, 2]], [0, 0, 7, 7]]], 7), [[[0, 0, 7], [1, 0, 7]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 7, 7]]], 7), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 7, 7]]], 7), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 7, 7]]], 7), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 7, 7]]], 7), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 7, 7]]], 7), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 3:
check('explicit case 0', solve([[[[1, 1], [7, 1], [7, 7], [1, 7]], [0, 0, 8, 8]]], 8), [[[1, 1, 7], [2, 1, 7], [3, 1, 7], [4, 1, 7], [5, 1, 7], [6, 1, 7]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 8, 8]]], 8), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 8, 8]]], 8), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 8, 8]]], 8), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 8, 8]]], 8), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [8, 0], [8, 8], [0, 8]], [2, 1, 4, 3]]], 8), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 8, 8]]], 8), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [10, 0], [10, 2], [-2, 2]], [0, 0, 8, 8]]], 8), [[[0, 0, 8], [1, 0, 8]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 8, 8]]], 8), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 8, 8]]], 8), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 8, 8]]], 8), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 8, 8]]], 8), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 8, 8]]], 8), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 4:
check('explicit case 0', solve([[[[1, 1], [8, 1], [8, 8], [1, 8]], [0, 0, 9, 9]]], 9), [[[1, 1, 8], [2, 1, 8], [3, 1, 8], [4, 1, 8], [5, 1, 8], [6, 1, 8], [7, 1, 8]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 9, 9]]], 9), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 9, 9]]], 9), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 9, 9]]], 9), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 9, 9]]], 9), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [9, 0], [9, 9], [0, 9]], [2, 1, 4, 3]]], 9), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 9, 9]]], 9), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [11, 0], [11, 2], [-2, 2]], [0, 0, 9, 9]]], 9), [[[0, 0, 9], [1, 0, 9]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 9, 9]]], 9), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 9, 9]]], 9), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 9, 9]]], 9), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 9, 9]]], 9), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 9, 9]]], 9), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 5:
check('explicit case 0', solve([[[[1, 1], [9, 1], [9, 9], [1, 9]], [0, 0, 10, 10]]], 10), [[[1, 1, 9], [2, 1, 9], [3, 1, 9], [4, 1, 9], [5, 1, 9], [6, 1, 9], [7, 1, 9], [8, 1, 9]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 10, 10]]], 10), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 10, 10]]], 10), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 10, 10]]], 10), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 10, 10]]], 10), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [10, 0], [10, 10], [0, 10]], [2, 1, 4, 3]]], 10), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 10, 10]]], 10), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [12, 0], [12, 2], [-2, 2]], [0, 0, 10, 10]]], 10), [[[0, 0, 10], [1, 0, 10]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 10, 10]]], 10), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 10, 10]]], 10), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 10, 10]]], 10), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 10, 10]]], 10), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 10, 10]]], 10), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit case 0 | [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | Passed |
| explicit case 1 | [[[0, 1, 1], [0, 5, 5], [1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | Failed |
| explicit case 2 | [[[0, 0, 0], [1, 0, 2], [2, 0, 4], [3, 0, 2]]] | [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]] | Failed |
| explicit case 3 | [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]] | [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]] | Passed |
| explicit case 4 | [[[0, 1, 4], [1, 1, 4]]] | [[[0, 1, 4], [1, 1, 4]]] | Passed |
| explicit case 5 | [[[1, 2, 4], [2, 2, 4]]] | [[[1, 2, 4], [2, 2, 4]]] | Passed |
| explicit case 6 | [[[0, 0, 0], [0, 2, 2], [0, 4, 4], [1, 0, 0], [1, 2, 2], [1, 4, 4], [2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]] | [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]] | Failed |
| explicit case 7 | [[[0, 0, 6], [1, 0, 6]]] | [[[0, 0, 6], [1, 0, 6]]] | Passed |
| explicit case 8 | [[]] | [[]] | Passed |
| explicit case 9 | [[[0, 1, 1], [1, 1, 2], [2, 1, 3], [3, 1, 4]]] | [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]] | Failed |
| explicit case 10 | [[[0, 1, 2], [1, 1, 2]]] | [[[0, 1, 2], [1, 1, 2]]] | Passed |
| explicit case 11 | [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]] | [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]] | Passed |
| explicit case 12 | [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1], [3, 5, 5]]] | [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]] | Failed |
SHA-256 / b517d7baf2be4b3647d2dcbdb9d1a17cd39a940abb5a900ef6c583cb555cf944
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(commands, size):
out=[]
for poly,clip in commands:
l,t,r,b=max(clip[0],0),max(clip[1],0),min(clip[2],size),min(clip[3],size)
pts=[(Fraction(x),Fraction(y)) for x,y in poly]
spans=[]
for y in range(t,b):
yc=y+Fraction(1,2)
xs=[]
for i in range(len(pts)):
(ax,ay),(bx,by)=pts[i-1],pts[i]
if ay>by: ax,ay,bx,by=bx,by,ax,ay
if ay<=yc<by:
xs.append(ax+(bx-ax)*(yc-ay)/(by-ay))
xs.sort()
for j in range(0,len(xs)-1,2):
start=math.ceil(xs[j]-Fraction(1,2))
end=math.ceil(xs[j+1]-Fraction(1,2))
start,end=max(start,l),min(end,r)
if start<=end and start<r: spans.append([y,start,end])
out.append(spans)
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit case 0', solve([[[[1, 1], [5, 1], [5, 5], [1, 5]], [0, 0, 6, 6]]], 6), [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 6, 6]]], 6), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 6, 6]]], 6), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 6, 6]]], 6), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 6, 6]]], 6), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [6, 0], [6, 6], [0, 6]], [2, 1, 4, 3]]], 6), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 6, 6]]], 6), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [8, 0], [8, 2], [-2, 2]], [0, 0, 6, 6]]], 6), [[[0, 0, 6], [1, 0, 6]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 6, 6]]], 6), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 6, 6]]], 6), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 6, 6]]], 6), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 6, 6]]], 6), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 6, 6]]], 6), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 2:
check('explicit case 0', solve([[[[1, 1], [6, 1], [6, 6], [1, 6]], [0, 0, 7, 7]]], 7), [[[1, 1, 6], [2, 1, 6], [3, 1, 6], [4, 1, 6], [5, 1, 6]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 7, 7]]], 7), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 7, 7]]], 7), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 7, 7]]], 7), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 7, 7]]], 7), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [7, 0], [7, 7], [0, 7]], [2, 1, 4, 3]]], 7), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 7, 7]]], 7), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [9, 0], [9, 2], [-2, 2]], [0, 0, 7, 7]]], 7), [[[0, 0, 7], [1, 0, 7]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 7, 7]]], 7), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 7, 7]]], 7), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 7, 7]]], 7), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 7, 7]]], 7), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 7, 7]]], 7), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 3:
check('explicit case 0', solve([[[[1, 1], [7, 1], [7, 7], [1, 7]], [0, 0, 8, 8]]], 8), [[[1, 1, 7], [2, 1, 7], [3, 1, 7], [4, 1, 7], [5, 1, 7], [6, 1, 7]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 8, 8]]], 8), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 8, 8]]], 8), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 8, 8]]], 8), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 8, 8]]], 8), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [8, 0], [8, 8], [0, 8]], [2, 1, 4, 3]]], 8), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 8, 8]]], 8), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [10, 0], [10, 2], [-2, 2]], [0, 0, 8, 8]]], 8), [[[0, 0, 8], [1, 0, 8]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 8, 8]]], 8), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 8, 8]]], 8), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 8, 8]]], 8), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 8, 8]]], 8), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 8, 8]]], 8), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 4:
check('explicit case 0', solve([[[[1, 1], [8, 1], [8, 8], [1, 8]], [0, 0, 9, 9]]], 9), [[[1, 1, 8], [2, 1, 8], [3, 1, 8], [4, 1, 8], [5, 1, 8], [6, 1, 8], [7, 1, 8]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 9, 9]]], 9), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 9, 9]]], 9), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 9, 9]]], 9), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 9, 9]]], 9), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [9, 0], [9, 9], [0, 9]], [2, 1, 4, 3]]], 9), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 9, 9]]], 9), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [11, 0], [11, 2], [-2, 2]], [0, 0, 9, 9]]], 9), [[[0, 0, 9], [1, 0, 9]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 9, 9]]], 9), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 9, 9]]], 9), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 9, 9]]], 9), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 9, 9]]], 9), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 9, 9]]], 9), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 5:
check('explicit case 0', solve([[[[1, 1], [9, 1], [9, 9], [1, 9]], [0, 0, 10, 10]]], 10), [[[1, 1, 9], [2, 1, 9], [3, 1, 9], [4, 1, 9], [5, 1, 9], [6, 1, 9], [7, 1, 9], [8, 1, 9]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 10, 10]]], 10), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 10, 10]]], 10), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 10, 10]]], 10), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 10, 10]]], 10), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [10, 0], [10, 10], [0, 10]], [2, 1, 4, 3]]], 10), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 10, 10]]], 10), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [12, 0], [12, 2], [-2, 2]], [0, 0, 10, 10]]], 10), [[[0, 0, 10], [1, 0, 10]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 10, 10]]], 10), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 10, 10]]], 10), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 10, 10]]], 10), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 10, 10]]], 10), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 10, 10]]], 10), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit case 0 | [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | Passed |
| explicit case 1 | [[[0, 1, 1], [0, 5, 5], [1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | Failed |
| explicit case 2 | [[[0, 0, 0], [1, 0, 2], [2, 0, 4], [3, 0, 2]]] | [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]] | Failed |
| explicit case 3 | [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]] | [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]] | Passed |
| explicit case 4 | [[[0, 1, 4], [1, 1, 4]]] | [[[0, 1, 4], [1, 1, 4]]] | Passed |
| explicit case 5 | [[[1, 2, 4], [2, 2, 4]]] | [[[1, 2, 4], [2, 2, 4]]] | Passed |
| explicit case 6 | [[[0, 0, 0], [0, 2, 2], [0, 4, 4], [1, 0, 0], [1, 2, 2], [1, 4, 4], [2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]] | [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]] | Failed |
| explicit case 7 | [[[0, 0, 6], [1, 0, 6]]] | [[[0, 0, 6], [1, 0, 6]]] | Passed |
| explicit case 8 | [[]] | [[]] | Passed |
| explicit case 9 | [[[0, 1, 1], [1, 1, 2], [2, 1, 3], [3, 1, 4]]] | [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]] | Failed |
| explicit case 10 | [[[0, 1, 2], [1, 1, 2]]] | [[[0, 1, 2], [1, 1, 2]]] | Passed |
| explicit case 11 | [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]] | [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]] | Passed |
| explicit case 12 | [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1], [3, 5, 5]]] | [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]] | Failed |
SHA-256 / 5e7be388a25247f052958d9093b70750bbda18a560aae42012e9f5102b216849
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(commands, size):
out=[]
for poly,clip in commands:
l,t,r,b=max(clip[0],0),max(clip[1],0),min(clip[2],size),min(clip[3],size)
pts=[(Fraction(x),Fraction(y)) for x,y in poly]
spans=[]
for y in range(t,b):
yc=y+Fraction(1,2)
xs=[]
for i in range(len(pts)):
(ax,ay),(bx,by)=pts[i-1],pts[i]
if ay>by: ax,ay,bx,by=bx,by,ax,ay
if ay<=yc<by:
xs.append(ax+(bx-ax)*(yc-ay)/(by-ay))
xs.sort()
for j in range(0,len(xs)-1,2):
start=math.ceil(xs[j]-Fraction(1,2))
end=math.ceil(xs[j+1]-Fraction(1,2))
start,end=max(start,l),min(end,r)
if start<end: spans.append([y,start,end])
out.append(spans)
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
if N == 1:
check('explicit case 0', solve([[[[1, 1], [5, 1], [5, 5], [1, 5]], [0, 0, 6, 6]]], 6), [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 6, 6]]], 6), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 6, 6]]], 6), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 6, 6]]], 6), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 6, 6]]], 6), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [6, 0], [6, 6], [0, 6]], [2, 1, 4, 3]]], 6), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 6, 6]]], 6), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [8, 0], [8, 2], [-2, 2]], [0, 0, 6, 6]]], 6), [[[0, 0, 6], [1, 0, 6]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 6, 6]]], 6), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 6, 6]]], 6), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 6, 6]]], 6), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 6, 6]]], 6), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 6, 6]]], 6), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 2:
check('explicit case 0', solve([[[[1, 1], [6, 1], [6, 6], [1, 6]], [0, 0, 7, 7]]], 7), [[[1, 1, 6], [2, 1, 6], [3, 1, 6], [4, 1, 6], [5, 1, 6]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 7, 7]]], 7), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 7, 7]]], 7), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 7, 7]]], 7), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 7, 7]]], 7), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [7, 0], [7, 7], [0, 7]], [2, 1, 4, 3]]], 7), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 7, 7]]], 7), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [9, 0], [9, 2], [-2, 2]], [0, 0, 7, 7]]], 7), [[[0, 0, 7], [1, 0, 7]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 7, 7]]], 7), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 7, 7]]], 7), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 7, 7]]], 7), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 7, 7]]], 7), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 7, 7]]], 7), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 3:
check('explicit case 0', solve([[[[1, 1], [7, 1], [7, 7], [1, 7]], [0, 0, 8, 8]]], 8), [[[1, 1, 7], [2, 1, 7], [3, 1, 7], [4, 1, 7], [5, 1, 7], [6, 1, 7]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 8, 8]]], 8), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 8, 8]]], 8), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 8, 8]]], 8), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 8, 8]]], 8), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [8, 0], [8, 8], [0, 8]], [2, 1, 4, 3]]], 8), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 8, 8]]], 8), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [10, 0], [10, 2], [-2, 2]], [0, 0, 8, 8]]], 8), [[[0, 0, 8], [1, 0, 8]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 8, 8]]], 8), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 8, 8]]], 8), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 8, 8]]], 8), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 8, 8]]], 8), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 8, 8]]], 8), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 4:
check('explicit case 0', solve([[[[1, 1], [8, 1], [8, 8], [1, 8]], [0, 0, 9, 9]]], 9), [[[1, 1, 8], [2, 1, 8], [3, 1, 8], [4, 1, 8], [5, 1, 8], [6, 1, 8], [7, 1, 8]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 9, 9]]], 9), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 9, 9]]], 9), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 9, 9]]], 9), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 9, 9]]], 9), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [9, 0], [9, 9], [0, 9]], [2, 1, 4, 3]]], 9), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 9, 9]]], 9), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [11, 0], [11, 2], [-2, 2]], [0, 0, 9, 9]]], 9), [[[0, 0, 9], [1, 0, 9]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 9, 9]]], 9), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 9, 9]]], 9), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 9, 9]]], 9), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 9, 9]]], 9), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 9, 9]]], 9), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
if N == 5:
check('explicit case 0', solve([[[[1, 1], [9, 1], [9, 9], [1, 9]], [0, 0, 10, 10]]], 10), [[[1, 1, 9], [2, 1, 9], [3, 1, 9], [4, 1, 9], [5, 1, 9], [6, 1, 9], [7, 1, 9], [8, 1, 9]]])
check('explicit case 1', solve([[[[1, 0], [3, '5/2'], [5, 0], [5, 5], [1, 5]], [0, 0, 10, 10]]], 10), [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]])
check('explicit case 2', solve([[[[0, '1/2'], [4, '5/2'], [0, '9/2']], [0, 0, 10, 10]]], 10), [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]])
check('explicit case 3', solve([[[['1/2', 0], ['7/2', 0], ['7/2', 3], ['1/2', 3]], [0, 0, 10, 10]]], 10), [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]])
check('explicit case 4', solve([[[['3/2', 0], ['9/2', 0], ['9/2', 2], ['3/2', 2]], [0, 0, 10, 10]]], 10), [[[0, 1, 4], [1, 1, 4]]])
check('explicit case 5', solve([[[[0, 0], [10, 0], [10, 10], [0, 10]], [2, 1, 4, 3]]], 10), [[[1, 2, 4], [2, 2, 4]]])
check('explicit case 6', solve([[[[0, 0], [1, 4], [2, 0], [3, 4], [4, 0], [4, 5], [0, 5]], [0, 0, 10, 10]]], 10), [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]])
check('explicit case 7', solve([[[[-2, 0], [12, 0], [12, 2], [-2, 2]], [0, 0, 10, 10]]], 10), [[[0, 0, 10], [1, 0, 10]]])
check('explicit case 8', solve([[[[0, 0], [2, 0], [2, 2], [0, 2]], [3, 0, 10, 10]]], 10), [[]])
check('explicit case 9', solve([[[[1, 0], [5, 4], [1, 4]], [0, 0, 10, 10]]], 10), [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]])
check('explicit case 10', solve([[[['1/4', 0], ['5/2', 0], ['5/2', 2], ['1/4', 2]], [1, 0, 10, 10]]], 10), [[[0, 1, 2], [1, 1, 2]]])
check('explicit case 11', solve([[[[4, 1], [4, 4], [1, 4], [1, 1]], [0, 0, 10, 10]]], 10), [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]])
check('explicit case 12', solve([[[[0, 0], [5, 0], [5, 4], [3, '3/2'], [1, 4], [0, 4]], [0, 0, 10, 10]]], 10), [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| explicit case 0 | [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | [[[1, 1, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | Passed |
| explicit case 1 | [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | [[[1, 1, 2], [1, 4, 5], [2, 1, 5], [3, 1, 5], [4, 1, 5]]] | Passed |
| explicit case 2 | [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]] | [[[1, 0, 2], [2, 0, 4], [3, 0, 2]]] | Passed |
| explicit case 3 | [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]] | [[[0, 0, 3], [1, 0, 3], [2, 0, 3]]] | Passed |
| explicit case 4 | [[[0, 1, 4], [1, 1, 4]]] | [[[0, 1, 4], [1, 1, 4]]] | Passed |
| explicit case 5 | [[[1, 2, 4], [2, 2, 4]]] | [[[1, 2, 4], [2, 2, 4]]] | Passed |
| explicit case 6 | [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]] | [[[2, 0, 1], [2, 1, 3], [2, 3, 4], [3, 0, 1], [3, 1, 3], [3, 3, 4], [4, 0, 4]]] | Passed |
| explicit case 7 | [[[0, 0, 6], [1, 0, 6]]] | [[[0, 0, 6], [1, 0, 6]]] | Passed |
| explicit case 8 | [[]] | [[]] | Passed |
| explicit case 9 | [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]] | [[[1, 1, 2], [2, 1, 3], [3, 1, 4]]] | Passed |
| explicit case 10 | [[[0, 1, 2], [1, 1, 2]]] | [[[0, 1, 2], [1, 1, 2]]] | Passed |
| explicit case 11 | [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]] | [[[1, 1, 4], [2, 1, 4], [3, 1, 4]]] | Passed |
| explicit case 12 | [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]] | [[[0, 0, 5], [1, 0, 3], [1, 3, 5], [2, 0, 2], [2, 4, 5], [3, 0, 1]]] | Passed |
SHA-256 / 711b1a6a7773b7911b36539d16025d30d3aa9f00b98844921c0cd2ce19658a0a
Verification & scope
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.
Observations recorded using Python 3.12.14 at 2026-09-29T14:45:21.529515+00:00.
Case digest / 36331924d8e79bb0604e52984c4e4c0ece0381312e0cb39084646e87a309ada0