aa35831d1d
git-svn-id: http://skia.googlecode.com/svn/trunk@7453 2bbb7eff-a529-9590-31e7-b0007b416f81
211 lines
10 KiB
C++
211 lines
10 KiB
C++
/*
|
|
* 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 "CurveIntersection.h"
|
|
#include "CurveUtilities.h"
|
|
#include "Intersection_Tests.h"
|
|
#include "Intersections.h"
|
|
#include "QuadraticIntersection_TestData.h"
|
|
#include "TestUtilities.h"
|
|
|
|
const int firstQuadIntersectionTest = 9;
|
|
|
|
static void standardTestCases() {
|
|
for (size_t index = firstQuadIntersectionTest; index < quadraticTests_count; ++index) {
|
|
const Quadratic& quad1 = quadraticTests[index][0];
|
|
const Quadratic& quad2 = quadraticTests[index][1];
|
|
Quadratic reduce1, reduce2;
|
|
int order1 = reduceOrder(quad1, reduce1);
|
|
int order2 = reduceOrder(quad2, reduce2);
|
|
if (order1 < 3) {
|
|
printf("[%d] quad1 order=%d\n", (int) index, order1);
|
|
}
|
|
if (order2 < 3) {
|
|
printf("[%d] quad2 order=%d\n", (int) index, order2);
|
|
}
|
|
if (order1 == 3 && order2 == 3) {
|
|
Intersections intersections, intersections2;
|
|
intersect(reduce1, reduce2, intersections);
|
|
intersect2(reduce1, reduce2, intersections2);
|
|
SkASSERT(intersections.used() == intersections2.used());
|
|
if (intersections.intersected()) {
|
|
for (int pt = 0; pt < intersections.used(); ++pt) {
|
|
double tt1 = intersections.fT[0][pt];
|
|
double tx1, ty1;
|
|
xy_at_t(quad1, tt1, tx1, ty1);
|
|
double tt2 = intersections.fT[1][pt];
|
|
double tx2, ty2;
|
|
xy_at_t(quad2, tt2, tx2, ty2);
|
|
if (!approximately_equal(tx1, tx2)) {
|
|
printf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
|
|
__FUNCTION__, (int)index, pt, tt1, tx1, ty1, tt2, tx2, ty2);
|
|
}
|
|
if (!approximately_equal(ty1, ty2)) {
|
|
printf("%s [%d,%d] y!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
|
|
__FUNCTION__, (int)index, pt, tt1, tx1, ty1, tt2, tx2, ty2);
|
|
}
|
|
tt1 = intersections2.fT[0][pt];
|
|
SkASSERT(approximately_equal(intersections.fT[0][pt], tt1));
|
|
tt2 = intersections2.fT[1][pt];
|
|
SkASSERT(approximately_equal(intersections.fT[1][pt], tt2));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
static const Quadratic testSet[] = {
|
|
{{41.5072916,87.1234036}, {28.2747836,80.9545395}, {23.5780771,69.3344126}},
|
|
{{72.9633878,95.6593007}, {42.7738746,88.4730382}, {31.1932785,80.2458029}},
|
|
|
|
{{31.1663962,54.7302484}, {31.1662882,54.7301074}, {31.1663969,54.7302485}},
|
|
{{26.0404936,45.4260361}, {27.7887523,33.1863051}, {40.8833242,26.0301855}},
|
|
|
|
{{29.9404074,49.1672596}, {44.3131071,45.3915253}, {58.1067559,59.5061814}},
|
|
{{72.6510251,64.2972928}, {53.6989659,60.1862397}, {35.2053722,44.8391126}},
|
|
|
|
{{52.14807018377202, 65.012420045148644}, {44.778669050208237, 66.315562705604378}, {51.619118408823567, 63.787827046262684}},
|
|
{{30.004993234763383, 93.921296668202288}, {53.384822003076991, 60.732180341802753}, {58.652998934338584, 43.111073088306185}},
|
|
|
|
{{80.897794748143198, 49.236332042718459}, {81.082078218891212, 64.066749904488631}, {69.972305057149981, 72.968595519850993}},
|
|
{{72.503745601281395, 32.952320736577882}, {88.030880716061645, 38.137194847810164}, {73.193774825517906, 67.773492479591397}},
|
|
|
|
{{67.426548091427676, 37.993772624988935}, {51.129513170665035, 57.542281234563646}, {44.594748190899189, 65.644267382683879}},
|
|
{{61.336508189019057, 82.693132843213675}, {54.825078921449354, 71.663932799212432}, {47.727444217558926, 61.4049645128392}},
|
|
|
|
{{67.4265481,37.9937726}, {51.1295132,57.5422812}, {44.5947482,65.6442674}},
|
|
{{61.3365082,82.6931328}, {54.8250789,71.6639328}, {47.7274442,61.4049645}},
|
|
|
|
{{53.774852327053594, 53.318060789841951}, {45.787877803416805, 51.393492026284981}, {46.703936967162392, 53.06860709822206}},
|
|
{{46.703936967162392, 53.06860709822206}, {47.619996130907957, 54.74372217015916}, {53.020051653535361, 48.633140968832024}},
|
|
|
|
{{50.934805397717923, 51.52391952648901}, {56.803308902971423, 44.246234610627596}, {69.776888596721406, 40.166645096692555}},
|
|
{{50.230212796400401, 38.386469101526998}, {49.855620812184917, 38.818990392153609}, {56.356567496227363, 47.229909093319407}},
|
|
|
|
{{36.148792695174222, 70.336952793070424}, {36.141613037691357, 70.711654739870085}, {36.154708826402597, 71.088492662905836}},
|
|
{{35.216235592661825, 70.580199617313212}, {36.244476835123969, 71.010897787304074}, {37.230244263238326, 71.423156953613102}},
|
|
|
|
// this pair is nearly coincident, and causes the quartic code to produce bad
|
|
// data. Mathematica doesn't think they touch. Graphically, I can't tell.
|
|
// it may not be so bad to pretend that they don't touch, if I can detect that
|
|
{{369.848602,145.680267}, {382.360413,121.298294}, {406.207703,121.298294}},
|
|
{{369.850525,145.675964}, {382.362915,121.29287}, {406.211273,121.29287}},
|
|
|
|
{{33.567436351153468, 62.336347586395924}, {35.200980274619084, 65.038561460144479}, {36.479571811084995, 67.632178905412445}},
|
|
{{41.349524945572696, 67.886658677862641}, {39.125562529359087, 67.429772735149214}, {35.600314083992416, 66.705372160552685}},
|
|
|
|
{{67.25299631583178, 21.109080184767524}, {43.617595267398613, 33.658034168577529}, {33.38371819435676, 44.214192553988745}},
|
|
{{40.476838859398541, 39.543209911285999}, {36.701186108431131, 34.8817994016458}, {30.102144288878023, 26.739063172945315}},
|
|
|
|
{{25.367434474345036, 50.4712103169743}, {17.865013304933097, 37.356741010559439}, {16.818988838905465, 37.682915484123129}},
|
|
{{16.818988838905465, 37.682915484123129}, {15.772964372877833, 38.009089957686811}, {20.624104547604965, 41.825131596683121}},
|
|
|
|
{{26.440225044088567, 79.695009812848298}, {26.085525979582247, 83.717928354134784}, {27.075079976297072, 84.820633667838905}},
|
|
{{27.075079976297072, 84.820633667838905}, {28.276546859574015, 85.988574184029034}, {25.649263209500006, 87.166762066617025}},
|
|
|
|
{{34.879150914024962, 83.862726601601125}, {35.095810134304429, 83.693473210169543}, {35.359284111931586, 83.488069234177502}},
|
|
{{54.503204203015471, 76.094098492518242}, {51.366889541918894, 71.609856061299155}, {46.53086955445437, 69.949863036494207}},
|
|
|
|
{{0, 0}, {1, 0}, {0, 3}},
|
|
{{1, 0}, {0, 1}, {1, 1}},
|
|
{{369.961151,137.980698}, {383.970093,121.298294}, {406.213287,121.298294}},
|
|
{{353.2948,194.351074}, {353.2948,173.767563}, {364.167572,160.819855}},
|
|
{{360.416077,166.795715}, {370.126831,147.872162}, {388.635406,147.872162}},
|
|
{{406.236359,121.254936}, {409.445679,121.254936}, {412.975952,121.789818}},
|
|
{{406.235992,121.254936}, {425.705902,121.254936}, {439.71994,137.087616}},
|
|
|
|
{{369.8543701171875, 145.66734313964844}, {382.36788940429688, 121.28203582763672}, {406.21844482421875, 121.28203582763672}},
|
|
{{369.96469116210938, 137.96672058105469}, {383.97555541992188, 121.28203582763672}, {406.2218017578125, 121.28203582763672}},
|
|
|
|
{{369.962311, 137.976044}, {383.971893, 121.29287}, {406.216125, 121.29287}},
|
|
|
|
{{400.121704, 149.468719}, {391.949493, 161.037186}, {391.949493, 181.202423}},
|
|
{{391.946747, 181.839218}, {391.946747, 155.62442}, {406.115479, 138.855438}},
|
|
{{360.048828125, 229.2578125}, {360.048828125, 224.4140625}, {362.607421875, 221.3671875}},
|
|
{{362.607421875, 221.3671875}, {365.166015625, 218.3203125}, {369.228515625, 218.3203125}},
|
|
{{8, 8}, {10, 10}, {8, -10}},
|
|
{{8, 8}, {12, 12}, {14, 4}},
|
|
{{8, 8}, {9, 9}, {10, 8}}
|
|
};
|
|
|
|
const size_t testSetCount = sizeof(testSet) / sizeof(testSet[0]);
|
|
|
|
#define ONE_OFF_DEBUG 0
|
|
|
|
static void oneOffTest1(size_t outer, size_t inner) {
|
|
const Quadratic& quad1 = testSet[outer];
|
|
const Quadratic& quad2 = testSet[inner];
|
|
Intersections intersections2;
|
|
intersect2(quad1, quad2, intersections2);
|
|
if (intersections2.fUnsortable) {
|
|
SkASSERT(0);
|
|
return;
|
|
}
|
|
for (int pt = 0; pt < intersections2.used(); ++pt) {
|
|
double tt1 = intersections2.fT[0][pt];
|
|
double tx1, ty1;
|
|
xy_at_t(quad1, tt1, tx1, ty1);
|
|
int pt2 = intersections2.fFlip ? intersections2.used() - pt - 1 : pt;
|
|
double tt2 = intersections2.fT[1][pt2];
|
|
double tx2, ty2;
|
|
xy_at_t(quad2, tt2, tx2, ty2);
|
|
if (!AlmostEqualUlps(tx1, tx2)) {
|
|
SkDebugf("%s [%d,%d] x!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
|
|
__FUNCTION__, (int)outer, (int)inner, tt1, tx1, ty1, tt2, tx2, ty2);
|
|
SkASSERT(0);
|
|
}
|
|
if (!AlmostEqualUlps(ty1, ty2)) {
|
|
SkDebugf("%s [%d,%d] y!= t1=%g (%g,%g) t2=%g (%g,%g)\n",
|
|
__FUNCTION__, (int)outer, (int)inner, tt1, tx1, ty1, tt2, tx2, ty2);
|
|
SkASSERT(0);
|
|
}
|
|
#if ONE_OFF_DEBUG
|
|
SkDebugf("%s [%d][%d] t1=%1.9g (%1.9g, %1.9g) t2=%1.9g\n", __FUNCTION__,
|
|
outer, inner, tt1, tx1, tx2, tt2);
|
|
#endif
|
|
}
|
|
}
|
|
|
|
static void oneOffTest() {
|
|
// oneOffTest1(0, 1);
|
|
for (size_t outer = 0; outer < testSetCount - 1; ++outer) {
|
|
for (size_t inner = outer + 1; inner < testSetCount; ++inner) {
|
|
oneOffTest1(outer, inner);
|
|
}
|
|
}
|
|
}
|
|
|
|
static const Quadratic coincidentTestSet[] = {
|
|
{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}},
|
|
{{369.850525, 145.675964}, {382.362915, 121.29287}, {406.211273, 121.29287}},
|
|
{{8, 8}, {10, 10}, {8, -10}},
|
|
{{8, -10}, {10, 10}, {8, 8}},
|
|
};
|
|
|
|
const size_t coincidentTestSetCount = sizeof(coincidentTestSet) / sizeof(coincidentTestSet[0]);
|
|
|
|
static void coincidentTest() {
|
|
for (size_t testIndex = 0; testIndex < coincidentTestSetCount - 1; testIndex += 2) {
|
|
const Quadratic& quad1 = coincidentTestSet[testIndex];
|
|
const Quadratic& quad2 = coincidentTestSet[testIndex + 1];
|
|
Intersections intersections2;
|
|
intersect2(quad1, quad2, intersections2);
|
|
SkASSERT(intersections2.coincidentUsed() == 2);
|
|
for (int pt = 0; pt < intersections2.coincidentUsed(); ++pt) {
|
|
double tt1 = intersections2.fT[0][pt];
|
|
double tt2 = intersections2.fT[1][pt];
|
|
SkASSERT(approximately_equal(1, tt1) || approximately_zero(tt1));
|
|
SkASSERT(approximately_equal(1, tt2) || approximately_zero(tt2));
|
|
}
|
|
}
|
|
}
|
|
|
|
void QuadraticIntersection_Test() {
|
|
oneOffTest();
|
|
coincidentTest();
|
|
standardTestCases();
|
|
}
|