/*
* Copyright 2012 Google Inc.
*
* Use of this source code is governed by a BSD-style license that can be
* found in the LICENSE file.
*/
#include "CubicIntersection_TestData.h"
#include <limits>
const Cubic pointDegenerates[] = {
{{0, 0}, {0, 0}, {0, 0}, {0, 0}},
{{1, 1}, {1, 1}, {1, 1}, {1, 1}},
{{1 + PointEpsilon - std::numeric_limits<double>::epsilon(), 1},
{1, 1 + PointEpsilon - std::numeric_limits<double>::epsilon()}, {1, 1}, {1, 1}},
{{1 + PointEpsilon/2 - std::numeric_limits<double>::epsilon(), 1},
{1 - (PointEpsilon/2 - std::numeric_limits<double>::epsilon()), 1}, {1, 1}, {1, 1}}
};
const size_t pointDegenerates_count = sizeof(pointDegenerates) / sizeof(pointDegenerates[0]);
const Cubic notPointDegenerates[] = {
{{1 + PointEpsilon + std::numeric_limits<double>::epsilon(), 1}, {1, 1 + PointEpsilon}, {1, 1}, {1, 1}},
{{1 + PointEpsilon/2 + std::numeric_limits<double>::epsilon(), 1}, {1 - PointEpsilon/2, 1}, {1, 1}, {1, 1}}
};
const size_t notPointDegenerates_count = sizeof(notPointDegenerates) / sizeof(notPointDegenerates[0]);
// from http://www.truetex.com/bezint.htm
const Cubic tests[][2] = {
{ // intersects in one place (data gives bezier clip fits
{{0, 45},
{6.0094158284751593, 51.610357411322688},
{12.741093228940867, 55.981703949474607},
{20.021417396476362, 58.652245509710262}},
{{2.2070737699246674, 52.703494107327209},
{31.591482272629477, 23.811002295222025},
{76.824588616426425, 44.049473790502674},
{119.25488947221436, 55.599248272955073}}
},
{ // intersects in three places
{{0, 45}, {50, 100}, {150, 0}, {200, 55}},
{{0, 55}, {50, 0}, {150, 100}, {200, 45}}
},
{ // intersects in one place, cross over is nearly parallel
{{0, 0}, {0, 100}, {200, 0}, {200, 100}},
{{0, 100}, {0, 0}, {200, 100}, {200, 0}}
},
{ // intersects in two places
{{0, 0}, {0, 100}, {200, 100}, {200, 0}},
{{0, 100}, {0, 0}, {200, 0}, {200, 100}}
},
{
{{150, 100}, {150 + 0.1, 150}, {150, 200}, {150, 250}},
{{250, 150}, {200, 150 + 0.1}, {150, 150}, {100, 150}}
},
{ // single intersection around 168,185
{{200, 100}, {150, 100}, {150, 150}, {200, 150}},
{{250, 150}, {250, 100}, {100, 100}, {100, 150}}
},
{
{{1.0, 1.5}, {15.5, 0.5}, {-8.0, 3.5}, {5.0, 1.5}},
{{4.0, 0.5}, {5.0, 15.0}, {2.0, -8.5}, {4.0, 4.5}}
},
{
{{664.00168, 0}, {726.11545, 124.22757}, {736.89069, 267.89743}, {694.0017, 400.0002}},
{{850.66843, 115.55563}, {728.515, 115.55563}, {725.21347, 275.15309}, {694.0017, 400.0002}}
},
{
{{1, 1}, {12.5, 6.5}, {-4, 6.5}, {7.5, 1}},
{{1, 6.5}, {12.5, 1}, {-4, 1}, {.5, 6}}
},
{
{{315.748, 312.84}, {312.644, 318.134}, {305.836, 319.909}, {300.542, 316.804}},
{{317.122, 309.05}, {316.112, 315.102}, {310.385, 319.19}, {304.332, 318.179}}
},
{
{{1046.604051, 172.937967}, {1046.604051, 178.9763059}, {1041.76745, 183.9279165}, {1035.703842, 184.0432409}},
{{1046.452235, 174.7640504}, {1045.544872, 180.1973817}, {1040.837966, 184.0469882}, {1035.505925, 184.0469882}}
},
{
{{125.79356, 199.57382}, {51.16556, 128.93575}, {87.494, 16.67848}, {167.29361, 16.67848}},
{{167.29361, 55.81876}, {100.36128, 55.81876}, {68.64099, 145.4755}, {125.7942, 199.57309}}
}
};
const size_t tests_count = sizeof(tests) / sizeof(tests[0]);
Cubic hexTests[][2] = {
{
{{0}} // placeholder for hex converted below
}
};
const size_t hexTests_count = sizeof(hexTests) / sizeof(hexTests[0]);
static const uint64_t testx[2][8] = {
{
0xf0d0d1ca63075a40LLU, 0x9408ce996a237740LLU, 0x6d5675460fbe5e40LLU, 0x6ef501e1b7487940LLU,
0x9a71d2f8143d6540LLU, 0x6bc18bbe02907a40LLU, 0x5b94d92093aa6b40LLU, 0x6ac18bbe02907a40LLU
},
{
0x92c56ed7b6145d40LLU, 0xede4f1255edb7740LLU, 0x1138c1101af75940LLU, 0x42e4f1255edb7740LLU,
0x408e51603ad95640LLU, 0x1e2e8fe9dd927740LLU, 0x1cb4777cd3a75440LLU, 0x212e1390de017740LLU
}
};
void convert_testx() {
const uint64_t* inPtr = testx[0];
double* outPtr = &hexTests[sizeof(tests) / sizeof(tests[0]) - 1][0][0].x;
for (unsigned index = 0; index < sizeof(testx) / sizeof(testx[0][0]); ++index) {
uint64_t input = *inPtr++;
unsigned char* output = (unsigned char*) outPtr++;
for (unsigned byte = 0; byte < sizeof(input); ++byte) {
output[byte] = input >> (7 - byte) * 8;
}
}
}
const Cubic lines[] = {
{{0, 0}, {0, 0}, {0, 0}, {1, 0}}, // 0: horizontal
{{0, 0}, {0, 0}, {1, 0}, {0, 0}},
{{0, 0}, {1, 0}, {0, 0}, {0, 0}},
{{1, 0}, {0, 0}, {0, 0}, {0, 0}},
{{1, 0}, {2, 0}, {3, 0}, {4, 0}},
{{0, 0}, {0, 0}, {0, 0}, {0, 1}}, // 5: vertical
{{0, 0}, {0, 0}, {0, 1}, {0, 0}},
{{0, 0}, {0, 1}, {0, 0}, {0, 0}},
{{0, 1}, {0, 0}, {0, 0}, {0, 0}},
{{0, 1}, {0, 2}, {0, 3}, {0, 4}},
{{0, 0}, {0, 0}, {0, 0}, {1, 1}}, // 10: 3 coincident
{{0, 0}, {0, 0}, {1, 1}, {0, 0}},
{{0, 0}, {1, 1}, {0, 0}, {0, 0}},
{{1, 1}, {0, 0}, {0, 0}, {0, 0}},
{{0, 0}, {0, 0}, {1, 1}, {2, 2}}, // 14: 2 coincident
{{0, 0}, {1, 1}, {0, 0}, {2, 2}},
{{0, 0}, {1, 1}, {2, 2}, {0, 0}},
{{1, 1}, {0, 0}, {0, 0}, {2, 2}}, // 17:
{{1, 1}, {0, 0}, {2, 2}, {0, 0}},
{{1, 1}, {2, 2}, {0, 0}, {0, 0}},
{{1, 1}, {2, 2}, {3, 3}, {2, 2}}, // middle-last coincident
{{1, 1}, {2, 2}, {3, 3}, {3, 3}}, // middle-last coincident
{{1, 1}, {1, 1}, {2, 2}, {2, 2}}, // 2 pairs coincident
{{1, 1}, {2, 2}, {1, 1}, {2, 2}},
{{1, 1}, {2, 2}, {2, 2}, {1, 1}},
{{1, 1}, {1, 1}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
{{1, 1}, {2, 2}, {3, 3}, {4, 4}}, // no coincident
{{1, 1}, {3, 3}, {2, 2}, {4, 4}},
{{1, 1}, {2, 2}, {4, 4}, {3, 3}},
{{1, 1}, {3, 3}, {4, 4}, {2, 2}},
{{1, 1}, {4, 4}, {2, 2}, {3, 3}},
{{1, 1}, {4, 4}, {3, 3}, {2, 2}},
{{2, 2}, {1, 1}, {3, 3}, {4, 4}},
{{2, 2}, {1, 1}, {4, 4}, {3, 3}},
{{2, 2}, {3, 3}, {1, 1}, {4, 4}},
{{2, 2}, {3, 3}, {4, 4}, {1, 1}},
{{2, 2}, {4, 4}, {1, 1}, {3, 3}},
{{2, 2}, {4, 4}, {3, 3}, {1, 1}},
};
const size_t lines_count = sizeof(lines) / sizeof(lines[0]);
// 'not a line' tries to fool the line detection code
const Cubic notLines[] = {
{{0, 0}, {0, 0}, {0, 1}, {1, 0}},
{{0, 0}, {0, 1}, {0, 0}, {1, 0}},
{{0, 0}, {0, 1}, {1, 0}, {0, 0}},
{{0, 1}, {0, 0}, {0, 0}, {1, 0}},
{{0, 1}, {0, 0}, {1, 0}, {0, 0}},
{{0, 1}, {1, 0}, {0, 0}, {0, 0}},
};
const size_t notLines_count = sizeof(notLines) / sizeof(notLines[0]);
static const double E = PointEpsilon * 2;
static const double F = PointEpsilon * 3;
const Cubic modEpsilonLines[] = {
{{0, E}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
{{0, 0}, {0, E}, {1, 0}, {0, 0}},
{{0, 0}, {1, 0}, {0, E}, {0, 0}},
{{1, 0}, {0, 0}, {0, 0}, {0, E}},
{{1, E}, {2, 0}, {3, 0}, {4, 0}},
{{E, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
{{0, 0}, {E, 0}, {0, 1}, {0, 0}},
{{0, 0}, {0, 1}, {E, 0}, {0, 0}},
{{0, 1}, {0, 0}, {0, 0}, {E, 0}},
{{E, 1}, {0, 2}, {0, 3}, {0, 4}},
{{E, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
{{0, 0}, {E, 0}, {1, 1}, {0, 0}},
{{0, 0}, {1, 1}, {E, 0}, {0, 0}},
{{1, 1}, {0, 0}, {0, 0}, {E, 0}},
{{0, E}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
{{0, 0}, {1, 1}, {0, E}, {2, 2}},
{{0, 0}, {1, 1}, {2, 2}, {0, E}},
{{1, 1}, {0, E}, {0, 0}, {2, 2}},
{{1, 1}, {0, E}, {2, 2}, {0, 0}},
{{1, 1}, {2, 2}, {E, 0}, {0, 0}},
{{1, 1}, {2, 2+E}, {3, 3}, {2, 2}}, // middle-last coincident
{{1, 1}, {2+E, 2}, {3, 3}, {3, 3}}, // middle-last coincident
{{1, 1}, {1, 1}, {2, 2}, {2+E, 2}}, // 2 pairs coincident
{{1, 1}, {2, 2}, {1, 1}, {2+E, 2}},
{{1, 1}, {2, 2}, {2, 2+E}, {1, 1}},
{{1, 1}, {1, 1+E}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
{{1, 1}, {2+E, 2}, {3, 3}, {4, 4}}, // no coincident
{{1, 1}, {3, 3}, {2, 2}, {4, 4+F}}, // INVESTIGATE: why the epsilon is bigger
{{1, 1+F}, {2, 2}, {4, 4}, {3, 3}}, // INVESTIGATE: why the epsilon is bigger
{{1, 1}, {3, 3}, {4, 4+E}, {2, 2}},
{{1, 1}, {4, 4}, {2, 2}, {3, 3+E}},
{{1, 1}, {4, 4}, {3, 3}, {2+E, 2}},
{{2, 2}, {1, 1}, {3+E, 3}, {4, 4}},
{{2, 2}, {1+E, 1}, {4, 4}, {3, 3}},
{{2, 2+E}, {3, 3}, {1, 1}, {4, 4}},
{{2+E, 2}, {3, 3}, {4, 4}, {1, 1}},
{{2, 2}, {4+E, 4}, {1, 1}, {3, 3}},
{{2, 2}, {4, 4}, {3, 3}, {1, 1+E}},
};
const size_t modEpsilonLines_count = sizeof(modEpsilonLines) / sizeof(modEpsilonLines[0]);
static const double D = PointEpsilon / 2;
static const double G = PointEpsilon / 3;
const Cubic lessEpsilonLines[] = {
{{0, D}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
{{0, 0}, {0, D}, {1, 0}, {0, 0}},
{{0, 0}, {1, 0}, {0, D}, {0, 0}},
{{1, 0}, {0, 0}, {0, 0}, {0, D}},
{{1, D}, {2, 0}, {3, 0}, {4, 0}},
{{D, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
{{0, 0}, {D, 0}, {0, 1}, {0, 0}},
{{0, 0}, {0, 1}, {D, 0}, {0, 0}},
{{0, 1}, {0, 0}, {0, 0}, {D, 0}},
{{D, 1}, {0, 2}, {0, 3}, {0, 4}},
{{D, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
{{0, 0}, {D, 0}, {1, 1}, {0, 0}},
{{0, 0}, {1, 1}, {D, 0}, {0, 0}},
{{1, 1}, {0, 0}, {0, 0}, {D, 0}},
{{0, D}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
{{0, 0}, {1, 1}, {0, D}, {2, 2}},
{{0, 0}, {1, 1}, {2, 2}, {0, D}},
{{1, 1}, {0, D}, {0, 0}, {2, 2}},
{{1, 1}, {0, D}, {2, 2}, {0, 0}},
{{1, 1}, {2, 2}, {D, 0}, {0, 0}},
{{1, 1}, {2, 2+D}, {3, 3}, {2, 2}}, // middle-last coincident
{{1, 1}, {2+D, 2}, {3, 3}, {3, 3}}, // middle-last coincident
{{1, 1}, {1, 1}, {2, 2}, {2+D, 2}}, // 2 pairs coincident
{{1, 1}, {2, 2}, {1, 1}, {2+D, 2}},
{{1, 1}, {2, 2}, {2, 2+D}, {1, 1}},
{{1, 1}, {1, 1+D}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
{{1, 1}, {2+D/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed)
{{1, 1}, {3, 3}, {2, 2}, {4, 4+D}},
{{1, 1+D}, {2, 2}, {4, 4}, {3, 3}},
{{1, 1}, {3, 3}, {4, 4+D}, {2, 2}},
{{1, 1}, {4, 4}, {2, 2}, {3, 3+D}},
{{1, 1}, {4, 4}, {3, 3}, {2+G, 2}}, // INVESTIGATE: why the epsilon is smaller
{{2, 2}, {1, 1}, {3+D, 3}, {4, 4}},
{{2, 2}, {1+D, 1}, {4, 4}, {3, 3}},
{{2, 2+D}, {3, 3}, {1, 1}, {4, 4}},
{{2+G, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller
{{2, 2}, {4+D, 4}, {1, 1}, {3, 3}},
{{2, 2}, {4, 4}, {3, 3}, {1, 1+D}},
};
const size_t lessEpsilonLines_count = sizeof(lessEpsilonLines) / sizeof(lessEpsilonLines[0]);
static const double N = -PointEpsilon / 2;
static const double M = -PointEpsilon / 3;
const Cubic negEpsilonLines[] = {
{{0, N}, {0, 0}, {0, 0}, {1, 0}}, // horizontal
{{0, 0}, {0, N}, {1, 0}, {0, 0}},
{{0, 0}, {1, 0}, {0, N}, {0, 0}},
{{1, 0}, {0, 0}, {0, 0}, {0, N}},
{{1, N}, {2, 0}, {3, 0}, {4, 0}},
{{N, 0}, {0, 0}, {0, 0}, {0, 1}}, // vertical
{{0, 0}, {N, 0}, {0, 1}, {0, 0}},
{{0, 0}, {0, 1}, {N, 0}, {0, 0}},
{{0, 1}, {0, 0}, {0, 0}, {N, 0}},
{{N, 1}, {0, 2}, {0, 3}, {0, 4}},
{{N, 0}, {0, 0}, {0, 0}, {1, 1}}, // 3 coincident
{{0, 0}, {N, 0}, {1, 1}, {0, 0}},
{{0, 0}, {1, 1}, {N, 0}, {0, 0}},
{{1, 1}, {0, 0}, {0, 0}, {N, 0}},
{{0, N}, {0, 0}, {1, 1}, {2, 2}}, // 2 coincident
{{0, 0}, {1, 1}, {0, N}, {2, 2}},
{{0, 0}, {1, 1}, {2, 2}, {0, N}},
{{1, 1}, {0, N}, {0, 0}, {2, 2}},
{{1, 1}, {0, N}, {2, 2}, {0, 0}},
{{1, 1}, {2, 2}, {N, 0}, {0, 0}},
{{1, 1}, {2, 2+N}, {3, 3}, {2, 2}}, // middle-last coincident
{{1, 1}, {2+N, 2}, {3, 3}, {3, 3}}, // middle-last coincident
{{1, 1}, {1, 1}, {2, 2}, {2+N, 2}}, // 2 pairs coincident
{{1, 1}, {2, 2}, {1, 1}, {2+N, 2}},
{{1, 1}, {2, 2}, {2, 2+N}, {1, 1}},
{{1, 1}, {1, 1+N}, {3, 3}, {3, 3}}, // first-middle middle-last coincident
{{1, 1}, {2+N/2, 2}, {3, 3}, {4, 4}}, // no coincident (FIXME: N as opposed to N/2 failed)
{{1, 1}, {3, 3}, {2, 2}, {4, 4+N}},
{{1, 1+N}, {2, 2}, {4, 4}, {3, 3}},
{{1, 1}, {3, 3}, {4, 4+N}, {2, 2}},
{{1, 1}, {4, 4}, {2, 2}, {3, 3+N}},
{{1, 1}, {4, 4}, {3, 3}, {2+M, 2}}, // INVESTIGATE: why the epsilon is smaller
{{2, 2}, {1, 1}, {3+N, 3}, {4, 4}},
{{2, 2}, {1+N, 1}, {4, 4}, {3, 3}},
{{2, 2+N}, {3, 3}, {1, 1}, {4, 4}},
{{2+M, 2}, {3, 3}, {4, 4}, {1, 1}}, // INVESTIGATE: why the epsilon is smaller
{{2, 2}, {4+N, 4}, {1, 1}, {3, 3}},
{{2, 2}, {4, 4}, {3, 3}, {1, 1+N}},
};
const size_t negEpsilonLines_count = sizeof(negEpsilonLines) / sizeof(negEpsilonLines[0]);