FA-51746 / Raster clipping / Open access
Clipped bresenham prestep: start before origin · case 01
The walk always starts at the scissor left edge, emitting pixels before the line begins.
ROOT CAUSE
The walk always starts at the scissor left edge, emitting pixels before the line begins.
VERIFIED REPAIR
Restore the specified clipping decision at start before origin. Each command is [x0,y0,x1,y1,scissor] for an x-major integer line with x0<=x1 and |y1-y0|<=x1-x0 (a zero-length line is a single point). The reference pixel in column x is y0+floor((2*(y1-y0)*(x-x0)+dx)/(2*dx)), ties rounding up. Clipping to the half-open scissor [left,top,right,bottom) intersected with [0,size) must emit exactly the reference pixels inside it, in x order. The walk starts at the first visible column with an exact pre-stepped error term and may stop once y has left the scissor in the direction of travel.
Unsuccessful approach: Clamping only against the raster edge emits pixels left of an interior scissor.
Case contract
Each command is [x0,y0,x1,y1,scissor] for an x-major integer line with x0<=x1 and |y1-y0|<=x1-x0 (a zero-length line is a single point). The reference pixel in column x is y0+floor((2*(y1-y0)*(x-x0)+dx)/(2*dx)), ties rounding up. Clipping to the half-open scissor [left,top,right,bottom) intersected with [0,size) must emit exactly the reference pixels inside it, in x order. The walk starts at the first visible column with an exact pre-stepped error term and may stop once y has left the scissor in the direction of travel.
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
N = 1
observations = []
def solve(commands, size):
out=[]
for x0,y0,x1,y1,clip in commands:
l,t,r,b=max(clip[0],0),max(clip[1],0),min(clip[2],size),min(clip[3],size)
dx,dy=x1-x0,y1-y0
pixels=[]
if dx==0:
if l<=x0<r and t<=y0<b: pixels=[[x0,y0]]
else:
xs=l
xe=min(x1,r-1)
if xs<=xe:
num=2*dy*(xs-x0)+dx
y=y0+num//(2*dx)
err=num%(2*dx)
for x in range(xs,xe+1):
if y>=b and dy>=0 or y<t and dy<=0: break
if t<=y<b: pixels.append([x,y])
err+=2*dy
while err>=2*dx:
err-=2*dx
y+=1
while err<0:
err+=2*dx
y-=1
out.append(pixels)
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([[0, 0, 5, 2, [0, 0, 6, 6]]], 6), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]])
check('explicit case 1', solve([[-3, 0, 5, 3, [0, 0, 6, 6]]], 6), [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 6, 6]]], 6), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 6, 6]]], 6), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 9, 1, [0, 0, 6, 6]]], 6), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 6]]], 6), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 6, 6]]], 6), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 6, 6]]], 6), [[[2, 1], [3, 2], [4, 2], [5, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 6]]], 6), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 6, 6]]], 6), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 6, 6]]], 6), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 6, 3]]], 6), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 6, 2]]], 6), [[[2, 1], [3, 1], [4, 1]]])
if N == 2:
check('explicit case 0', solve([[0, 0, 6, 2, [0, 0, 7, 7]]], 7), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]]])
check('explicit case 1', solve([[-3, 0, 6, 3, [0, 0, 7, 7]]], 7), [[[0, 1], [1, 1], [2, 2], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 7, 7]]], 7), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 7, 7]]], 7), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 10, 1, [0, 0, 7, 7]]], 7), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 7]]], 7), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 7, 7]]], 7), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 7, 7]]], 7), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 7]]], 7), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 7, 7]]], 7), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 7, 7]]], 7), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 7, 3]]], 7), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 7, 2]]], 7), [[[2, 1], [3, 1], [4, 1]]])
if N == 3:
check('explicit case 0', solve([[0, 0, 7, 2, [0, 0, 8, 8]]], 8), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 2]]])
check('explicit case 1', solve([[-3, 0, 7, 3, [0, 0, 8, 8]]], 8), [[[0, 1], [1, 1], [2, 2], [3, 2], [4, 2], [5, 2], [6, 3], [7, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 8, 8]]], 8), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 8, 8]]], 8), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 11, 1, [0, 0, 8, 8]]], 8), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 8]]], 8), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 8, 8]]], 8), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 8, 8]]], 8), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 8]]], 8), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 8, 8]]], 8), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 8, 8]]], 8), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 8, 3]]], 8), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 8, 2]]], 8), [[[2, 1], [3, 1], [4, 1]]])
if N == 4:
check('explicit case 0', solve([[0, 0, 8, 2, [0, 0, 9, 9]]], 9), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 2], [8, 2]]])
check('explicit case 1', solve([[-3, 0, 8, 3, [0, 0, 9, 9]]], 9), [[[0, 1], [1, 1], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [7, 3], [8, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 9, 9]]], 9), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 9, 9]]], 9), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 12, 1, [0, 0, 9, 9]]], 9), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 9]]], 9), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 9, 9]]], 9), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 9, 9]]], 9), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 9]]], 9), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 9, 9]]], 9), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 9, 9]]], 9), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 9, 3]]], 9), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 9, 2]]], 9), [[[2, 1], [3, 1], [4, 1]]])
if N == 5:
check('explicit case 0', solve([[0, 0, 9, 2, [0, 0, 10, 10]]], 10), [[[0, 0], [1, 0], [2, 0], [3, 1], [4, 1], [5, 1], [6, 1], [7, 2], [8, 2], [9, 2]]])
check('explicit case 1', solve([[-3, 0, 9, 3, [0, 0, 10, 10]]], 10), [[[0, 1], [1, 1], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [7, 3], [8, 3], [9, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 10, 10]]], 10), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 10, 10]]], 10), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 13, 1, [0, 0, 10, 10]]], 10), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1], [9, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 10]]], 10), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 10, 10]]], 10), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 10, 10]]], 10), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 10]]], 10), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 10, 10]]], 10), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 10, 10]]], 10), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 10, 3]]], 10), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 10, 2]]], 10), [[[2, 1], [3, 1], [4, 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 | [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]] | [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]] | Passed |
| explicit case 1 | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | Passed |
| explicit case 2 | [[[2, 2], [3, 3], [4, 3]]] | [[[2, 2], [3, 3], [4, 3]]] | Passed |
| explicit case 3 | [[[2, 3], [3, 2], [4, 2], [5, 1]]] | [[[2, 3], [3, 2], [4, 2], [5, 1]]] | Passed |
| explicit case 4 | [[[0, 1], [1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]] | [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]] | Failed |
| explicit case 5 | [[[0, 0], [1, 1]]] | [[[0, 0], [1, 1]]] | Passed |
| explicit case 6 | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | [[[2, 2], [3, 2], [4, 3], [5, 3]]] | Failed |
| explicit case 7 | [[[1, 1], [2, 1], [3, 2], [4, 2], [5, 3]]] | [[[2, 1], [3, 2], [4, 2], [5, 3]]] | Failed |
| explicit case 8 | [[]] | [[]] | Passed |
| explicit case 9 | [[[3, 3]]] | [[[3, 3]]] | Passed |
| explicit case 10 | [[[2, 2], [3, 3], [4, 4]]] | [[[2, 2], [3, 3], [4, 4]]] | Passed |
| explicit case 11 | [[[3, 2], [4, 1], [5, 0]]] | [[[3, 2], [4, 1], [5, 0]]] | Passed |
| explicit case 12 | [[[2, 1], [3, 1], [4, 1]]] | [[[2, 1], [3, 1], [4, 1]]] | Passed |
SHA-256 / 55d702a4042e98f3049dc5e39659938e21360da1bae1605cf2edc17c39b67fb0
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
out=[]
for x0,y0,x1,y1,clip in commands:
l,t,r,b=max(clip[0],0),max(clip[1],0),min(clip[2],size),min(clip[3],size)
dx,dy=x1-x0,y1-y0
pixels=[]
if dx==0:
if l<=x0<r and t<=y0<b: pixels=[[x0,y0]]
else:
xs=max(x0,0)
xe=min(x1,r-1)
if xs<=xe:
num=2*dy*(xs-x0)+dx
y=y0+num//(2*dx)
err=num%(2*dx)
for x in range(xs,xe+1):
if y>=b and dy>=0 or y<t and dy<=0: break
if t<=y<b: pixels.append([x,y])
err+=2*dy
while err>=2*dx:
err-=2*dx
y+=1
while err<0:
err+=2*dx
y-=1
out.append(pixels)
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([[0, 0, 5, 2, [0, 0, 6, 6]]], 6), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]])
check('explicit case 1', solve([[-3, 0, 5, 3, [0, 0, 6, 6]]], 6), [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 6, 6]]], 6), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 6, 6]]], 6), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 9, 1, [0, 0, 6, 6]]], 6), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 6]]], 6), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 6, 6]]], 6), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 6, 6]]], 6), [[[2, 1], [3, 2], [4, 2], [5, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 6]]], 6), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 6, 6]]], 6), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 6, 6]]], 6), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 6, 3]]], 6), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 6, 2]]], 6), [[[2, 1], [3, 1], [4, 1]]])
if N == 2:
check('explicit case 0', solve([[0, 0, 6, 2, [0, 0, 7, 7]]], 7), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]]])
check('explicit case 1', solve([[-3, 0, 6, 3, [0, 0, 7, 7]]], 7), [[[0, 1], [1, 1], [2, 2], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 7, 7]]], 7), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 7, 7]]], 7), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 10, 1, [0, 0, 7, 7]]], 7), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 7]]], 7), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 7, 7]]], 7), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 7, 7]]], 7), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 7]]], 7), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 7, 7]]], 7), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 7, 7]]], 7), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 7, 3]]], 7), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 7, 2]]], 7), [[[2, 1], [3, 1], [4, 1]]])
if N == 3:
check('explicit case 0', solve([[0, 0, 7, 2, [0, 0, 8, 8]]], 8), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 2]]])
check('explicit case 1', solve([[-3, 0, 7, 3, [0, 0, 8, 8]]], 8), [[[0, 1], [1, 1], [2, 2], [3, 2], [4, 2], [5, 2], [6, 3], [7, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 8, 8]]], 8), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 8, 8]]], 8), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 11, 1, [0, 0, 8, 8]]], 8), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 8]]], 8), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 8, 8]]], 8), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 8, 8]]], 8), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 8]]], 8), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 8, 8]]], 8), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 8, 8]]], 8), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 8, 3]]], 8), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 8, 2]]], 8), [[[2, 1], [3, 1], [4, 1]]])
if N == 4:
check('explicit case 0', solve([[0, 0, 8, 2, [0, 0, 9, 9]]], 9), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 2], [8, 2]]])
check('explicit case 1', solve([[-3, 0, 8, 3, [0, 0, 9, 9]]], 9), [[[0, 1], [1, 1], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [7, 3], [8, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 9, 9]]], 9), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 9, 9]]], 9), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 12, 1, [0, 0, 9, 9]]], 9), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 9]]], 9), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 9, 9]]], 9), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 9, 9]]], 9), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 9]]], 9), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 9, 9]]], 9), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 9, 9]]], 9), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 9, 3]]], 9), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 9, 2]]], 9), [[[2, 1], [3, 1], [4, 1]]])
if N == 5:
check('explicit case 0', solve([[0, 0, 9, 2, [0, 0, 10, 10]]], 10), [[[0, 0], [1, 0], [2, 0], [3, 1], [4, 1], [5, 1], [6, 1], [7, 2], [8, 2], [9, 2]]])
check('explicit case 1', solve([[-3, 0, 9, 3, [0, 0, 10, 10]]], 10), [[[0, 1], [1, 1], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [7, 3], [8, 3], [9, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 10, 10]]], 10), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 10, 10]]], 10), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 13, 1, [0, 0, 10, 10]]], 10), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1], [9, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 10]]], 10), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 10, 10]]], 10), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 10, 10]]], 10), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 10]]], 10), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 10, 10]]], 10), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 10, 10]]], 10), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 10, 3]]], 10), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 10, 2]]], 10), [[[2, 1], [3, 1], [4, 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 | [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]] | [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]] | Passed |
| explicit case 1 | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | Passed |
| explicit case 2 | [[[0, 1], [1, 2], [2, 2], [3, 3], [4, 3]]] | [[[2, 2], [3, 3], [4, 3]]] | Failed |
| explicit case 3 | [[[0, 4], [1, 3], [2, 3], [3, 2], [4, 2], [5, 1]]] | [[[2, 3], [3, 2], [4, 2], [5, 1]]] | Failed |
| explicit case 4 | [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]] | [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]] | Passed |
| explicit case 5 | [[[0, 0], [1, 1]]] | [[[0, 0], [1, 1]]] | Passed |
| explicit case 6 | [[[2, 2], [3, 2], [4, 3], [5, 3]]] | [[[2, 2], [3, 2], [4, 3], [5, 3]]] | Passed |
| explicit case 7 | [[[2, 1], [3, 2], [4, 2], [5, 3]]] | [[[2, 1], [3, 2], [4, 2], [5, 3]]] | Passed |
| explicit case 8 | [[]] | [[]] | Passed |
| explicit case 9 | [[[3, 3]]] | [[[3, 3]]] | Passed |
| explicit case 10 | [[[2, 2], [3, 3], [4, 4]]] | [[[2, 2], [3, 3], [4, 4]]] | Passed |
| explicit case 11 | [[[3, 2], [4, 1], [5, 0]]] | [[[3, 2], [4, 1], [5, 0]]] | Passed |
| explicit case 12 | [[[2, 1], [3, 1], [4, 1]]] | [[[2, 1], [3, 1], [4, 1]]] | Passed |
SHA-256 / 8e54d7649ba9dbb70e4e27afd508404c0c8bf72684f4d19689f0ae86a676fb8b
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(commands, size):
out=[]
for x0,y0,x1,y1,clip in commands:
l,t,r,b=max(clip[0],0),max(clip[1],0),min(clip[2],size),min(clip[3],size)
dx,dy=x1-x0,y1-y0
pixels=[]
if dx==0:
if l<=x0<r and t<=y0<b: pixels=[[x0,y0]]
else:
xs=max(x0,l)
xe=min(x1,r-1)
if xs<=xe:
num=2*dy*(xs-x0)+dx
y=y0+num//(2*dx)
err=num%(2*dx)
for x in range(xs,xe+1):
if y>=b and dy>=0 or y<t and dy<=0: break
if t<=y<b: pixels.append([x,y])
err+=2*dy
while err>=2*dx:
err-=2*dx
y+=1
while err<0:
err+=2*dx
y-=1
out.append(pixels)
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([[0, 0, 5, 2, [0, 0, 6, 6]]], 6), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]])
check('explicit case 1', solve([[-3, 0, 5, 3, [0, 0, 6, 6]]], 6), [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 6, 6]]], 6), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 6, 6]]], 6), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 9, 1, [0, 0, 6, 6]]], 6), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 6]]], 6), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 6, 6]]], 6), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 6, 6]]], 6), [[[2, 1], [3, 2], [4, 2], [5, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 6]]], 6), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 6, 6]]], 6), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 6, 6]]], 6), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 6, 3]]], 6), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 6, 2]]], 6), [[[2, 1], [3, 1], [4, 1]]])
if N == 2:
check('explicit case 0', solve([[0, 0, 6, 2, [0, 0, 7, 7]]], 7), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]]])
check('explicit case 1', solve([[-3, 0, 6, 3, [0, 0, 7, 7]]], 7), [[[0, 1], [1, 1], [2, 2], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 7, 7]]], 7), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 7, 7]]], 7), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 10, 1, [0, 0, 7, 7]]], 7), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 7]]], 7), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 7, 7]]], 7), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 7, 7]]], 7), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 7]]], 7), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 7, 7]]], 7), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 7, 7]]], 7), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 7, 3]]], 7), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 7, 2]]], 7), [[[2, 1], [3, 1], [4, 1]]])
if N == 3:
check('explicit case 0', solve([[0, 0, 7, 2, [0, 0, 8, 8]]], 8), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 2]]])
check('explicit case 1', solve([[-3, 0, 7, 3, [0, 0, 8, 8]]], 8), [[[0, 1], [1, 1], [2, 2], [3, 2], [4, 2], [5, 2], [6, 3], [7, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 8, 8]]], 8), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 8, 8]]], 8), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 11, 1, [0, 0, 8, 8]]], 8), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 8]]], 8), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 8, 8]]], 8), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 8, 8]]], 8), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 8]]], 8), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 8, 8]]], 8), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 8, 8]]], 8), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 8, 3]]], 8), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 8, 2]]], 8), [[[2, 1], [3, 1], [4, 1]]])
if N == 4:
check('explicit case 0', solve([[0, 0, 8, 2, [0, 0, 9, 9]]], 9), [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 2], [8, 2]]])
check('explicit case 1', solve([[-3, 0, 8, 3, [0, 0, 9, 9]]], 9), [[[0, 1], [1, 1], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [7, 3], [8, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 9, 9]]], 9), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 9, 9]]], 9), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 12, 1, [0, 0, 9, 9]]], 9), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 9]]], 9), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 9, 9]]], 9), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 9, 9]]], 9), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 9]]], 9), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 9, 9]]], 9), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 9, 9]]], 9), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 9, 3]]], 9), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 9, 2]]], 9), [[[2, 1], [3, 1], [4, 1]]])
if N == 5:
check('explicit case 0', solve([[0, 0, 9, 2, [0, 0, 10, 10]]], 10), [[[0, 0], [1, 0], [2, 0], [3, 1], [4, 1], [5, 1], [6, 1], [7, 2], [8, 2], [9, 2]]])
check('explicit case 1', solve([[-3, 0, 9, 3, [0, 0, 10, 10]]], 10), [[[0, 1], [1, 1], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [7, 3], [8, 3], [9, 3]]])
check('explicit case 2', solve([[0, 1, 4, 3, [2, 0, 10, 10]]], 10), [[[2, 2], [3, 3], [4, 3]]])
check('explicit case 3', solve([[0, 4, 5, 1, [2, 0, 10, 10]]], 10), [[[2, 3], [3, 2], [4, 2], [5, 1]]])
check('explicit case 4', solve([[1, 1, 13, 1, [0, 0, 10, 10]]], 10), [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1], [9, 1]]])
check('explicit case 5', solve([[0, 0, 3, 3, [0, 0, 2, 10]]], 10), [[[0, 0], [1, 1]]])
check('explicit case 6', solve([[2, 2, 5, 3, [0, 0, 10, 10]]], 10), [[[2, 2], [3, 2], [4, 3], [5, 3]]])
check('explicit case 7', solve([[2, 1, 6, 3, [1, 0, 10, 10]]], 10), [[[2, 1], [3, 2], [4, 2], [5, 3], [6, 3]]])
check('explicit case 8', solve([[3, 3, 3, 3, [0, 0, 2, 10]]], 10), [[]])
check('explicit case 9', solve([[3, 3, 3, 3, [0, 0, 10, 10]]], 10), [[[3, 3]]])
check('explicit case 10', solve([[0, 0, 4, 4, [0, 2, 10, 10]]], 10), [[[2, 2], [3, 3], [4, 4]]])
check('explicit case 11', solve([[0, 5, 5, 0, [0, 0, 10, 3]]], 10), [[[3, 2], [4, 1], [5, 0]]])
check('explicit case 12', solve([[0, 0, 6, 2, [0, 1, 10, 2]]], 10), [[[2, 1], [3, 1], [4, 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 | [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]] | [[[0, 0], [1, 0], [2, 1], [3, 1], [4, 2], [5, 2]]] | Passed |
| explicit case 1 | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | [[[0, 1], [1, 2], [2, 2], [3, 2], [4, 3], [5, 3]]] | Passed |
| explicit case 2 | [[[2, 2], [3, 3], [4, 3]]] | [[[2, 2], [3, 3], [4, 3]]] | Passed |
| explicit case 3 | [[[2, 3], [3, 2], [4, 2], [5, 1]]] | [[[2, 3], [3, 2], [4, 2], [5, 1]]] | Passed |
| explicit case 4 | [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]] | [[[1, 1], [2, 1], [3, 1], [4, 1], [5, 1]]] | Passed |
| explicit case 5 | [[[0, 0], [1, 1]]] | [[[0, 0], [1, 1]]] | Passed |
| explicit case 6 | [[[2, 2], [3, 2], [4, 3], [5, 3]]] | [[[2, 2], [3, 2], [4, 3], [5, 3]]] | Passed |
| explicit case 7 | [[[2, 1], [3, 2], [4, 2], [5, 3]]] | [[[2, 1], [3, 2], [4, 2], [5, 3]]] | Passed |
| explicit case 8 | [[]] | [[]] | Passed |
| explicit case 9 | [[[3, 3]]] | [[[3, 3]]] | Passed |
| explicit case 10 | [[[2, 2], [3, 3], [4, 4]]] | [[[2, 2], [3, 3], [4, 4]]] | Passed |
| explicit case 11 | [[[3, 2], [4, 1], [5, 0]]] | [[[3, 2], [4, 1], [5, 0]]] | Passed |
| explicit case 12 | [[[2, 1], [3, 1], [4, 1]]] | [[[2, 1], [3, 1], [4, 1]]] | Passed |
SHA-256 / c0e00b21d8d3ce9e4d3bf378201da461d5c24a32747c473f5da1e92afa824295
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 2026-09-29T14:45:21.867019+00:00.
Case digest / 1d603746f4c43c5562bfd39fab2c6640be6323ca5eef1baee7f873a674b1ef4f