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| 1 | +/* |
| 2 | + * Copyright 2020 Google Inc. |
| 3 | + * |
| 4 | + * Use of this source code is governed by a BSD-style license that can be |
| 5 | + * found in the LICENSE file. |
| 6 | + */ |
| 7 | + |
| 8 | +#include "include/core/SkM44.h" |
| 9 | +#include "tests/Test.h" |
| 10 | + |
| 11 | +static bool eq(const SkM44& a, const SkM44& b, float tol) { |
| 12 | + float fa[16], fb[16]; |
| 13 | + a.getColMajor(fa); |
| 14 | + b.getColMajor(fb); |
| 15 | + for (int i = 0; i < 16; ++i) { |
| 16 | + if (!SkScalarNearlyEqual(fa[i], fb[i], tol)) { |
| 17 | + return false; |
| 18 | + } |
| 19 | + } |
| 20 | + return true; |
| 21 | +} |
| 22 | + |
| 23 | +DEF_TEST(M44, reporter) { |
| 24 | + SkM44 m, im; |
| 25 | + |
| 26 | + REPORTER_ASSERT(reporter, SkM44(1, 0, 0, 0, |
| 27 | + 0, 1, 0, 0, |
| 28 | + 0, 0, 1, 0, |
| 29 | + 0, 0, 0, 1) == m); |
| 30 | + REPORTER_ASSERT(reporter, SkM44() == m); |
| 31 | + REPORTER_ASSERT(reporter, m.invert(&im)); |
| 32 | + REPORTER_ASSERT(reporter, SkM44() == im); |
| 33 | + |
| 34 | + m.setTranslate(3, 4, 2); |
| 35 | + REPORTER_ASSERT(reporter, SkM44(1, 0, 0, 3, |
| 36 | + 0, 1, 0, 4, |
| 37 | + 0, 0, 1, 2, |
| 38 | + 0, 0, 0, 1) == m); |
| 39 | + |
| 40 | + const float f[] = { 1, 0, 0, 2, 3, 1, 2, 5, 0, 5, 3, 0, 0, 1, 0, 2 }; |
| 41 | + m = SkM44::ColMajor(f); |
| 42 | + REPORTER_ASSERT(reporter, SkM44(f[0], f[4], f[ 8], f[12], |
| 43 | + f[1], f[5], f[ 9], f[13], |
| 44 | + f[2], f[6], f[10], f[14], |
| 45 | + f[3], f[7], f[11], f[15]) == m); |
| 46 | + |
| 47 | + { |
| 48 | + SkM44 t = m.transpose(); |
| 49 | + REPORTER_ASSERT(reporter, t != m); |
| 50 | + REPORTER_ASSERT(reporter, t.rc(1,0) == m.rc(0,1)); |
| 51 | + SkM44 tt = t.transpose(); |
| 52 | + REPORTER_ASSERT(reporter, tt == m); |
| 53 | + } |
| 54 | + |
| 55 | + m = SkM44::RowMajor(f); |
| 56 | + REPORTER_ASSERT(reporter, SkM44(f[ 0], f[ 1], f[ 2], f[ 3], |
| 57 | + f[ 4], f[ 5], f[ 6], f[ 7], |
| 58 | + f[ 8], f[ 9], f[10], f[14], |
| 59 | + f[12], f[13], f[14], f[15]) == m); |
| 60 | + |
| 61 | + REPORTER_ASSERT(reporter, m.invert(&im)); |
| 62 | + |
| 63 | + m = m * im; |
| 64 | + // m should be identity now, but our calc is not perfect... |
| 65 | + REPORTER_ASSERT(reporter, eq(SkM44(), m, 0.0000005f)); |
| 66 | + REPORTER_ASSERT(reporter, SkM44() != m); |
| 67 | +} |
| 68 | + |
| 69 | +DEF_TEST(M44_v3, reporter) { |
| 70 | + SkV3 a = {1, 2, 3}, |
| 71 | + b = {1, 2, 2}; |
| 72 | + |
| 73 | + REPORTER_ASSERT(reporter, a.lengthSquared() == 1 + 4 + 9); |
| 74 | + REPORTER_ASSERT(reporter, b.length() == 3); |
| 75 | + REPORTER_ASSERT(reporter, a.dot(b) == 1 + 4 + 6); |
| 76 | + REPORTER_ASSERT(reporter, b.dot(a) == 1 + 4 + 6); |
| 77 | + REPORTER_ASSERT(reporter, (a.cross(b) == SkV3{-2, 1, 0})); |
| 78 | + REPORTER_ASSERT(reporter, (b.cross(a) == SkV3{ 2, -1, 0})); |
| 79 | + |
| 80 | + SkM44 m = { |
| 81 | + 2, 0, 0, 3, |
| 82 | + 0, 1, 0, 5, |
| 83 | + 0, 0, 3, 1, |
| 84 | + 0, 0, 0, 1 |
| 85 | + }; |
| 86 | + |
| 87 | + SkV3 c = m * a; |
| 88 | + REPORTER_ASSERT(reporter, (c == SkV3{2, 2, 9})); |
| 89 | + SkV4 d = m.map(4, 3, 2, 1); |
| 90 | + REPORTER_ASSERT(reporter, (d == SkV4{11, 8, 7, 1})); |
| 91 | +} |
| 92 | + |
| 93 | +DEF_TEST(M44_v4, reporter) { |
| 94 | + SkM44 m( 1, 2, 3, 4, |
| 95 | + 5, 6, 7, 8, |
| 96 | + 9, 10, 11, 12, |
| 97 | + 13, 14, 15, 16); |
| 98 | + |
| 99 | + SkV4 r0 = m.row(0), |
| 100 | + r1 = m.row(1), |
| 101 | + r2 = m.row(2), |
| 102 | + r3 = m.row(3); |
| 103 | + |
| 104 | + REPORTER_ASSERT(reporter, (r0 == SkV4{ 1, 2, 3, 4})); |
| 105 | + REPORTER_ASSERT(reporter, (r1 == SkV4{ 5, 6, 7, 8})); |
| 106 | + REPORTER_ASSERT(reporter, (r2 == SkV4{ 9, 10, 11, 12})); |
| 107 | + REPORTER_ASSERT(reporter, (r3 == SkV4{13, 14, 15, 16})); |
| 108 | + |
| 109 | + REPORTER_ASSERT(reporter, SkM44::Rows(r0, r1, r2, r3) == m); |
| 110 | + |
| 111 | + SkV4 c0 = m.col(0), |
| 112 | + c1 = m.col(1), |
| 113 | + c2 = m.col(2), |
| 114 | + c3 = m.col(3); |
| 115 | + |
| 116 | + REPORTER_ASSERT(reporter, (c0 == SkV4{1, 5, 9, 13})); |
| 117 | + REPORTER_ASSERT(reporter, (c1 == SkV4{2, 6, 10, 14})); |
| 118 | + REPORTER_ASSERT(reporter, (c2 == SkV4{3, 7, 11, 15})); |
| 119 | + REPORTER_ASSERT(reporter, (c3 == SkV4{4, 8, 12, 16})); |
| 120 | + |
| 121 | + REPORTER_ASSERT(reporter, SkM44::Cols(c0, c1, c2, c3) == m); |
| 122 | + |
| 123 | + // implement matrix * vector using column vectors |
| 124 | + SkV4 v = {1, 2, 3, 4}; |
| 125 | + SkV4 v1 = m * v; |
| 126 | + SkV4 v2 = c0 * v.x + c1 * v.y + c2 * v.z + c3 * v.w; |
| 127 | + REPORTER_ASSERT(reporter, v1 == v2); |
| 128 | + |
| 129 | + REPORTER_ASSERT(reporter, (c0 + r0 == SkV4{c0.x+r0.x, c0.y+r0.y, c0.z+r0.z, c0.w+r0.w})); |
| 130 | + REPORTER_ASSERT(reporter, (c0 - r0 == SkV4{c0.x-r0.x, c0.y-r0.y, c0.z-r0.z, c0.w-r0.w})); |
| 131 | + REPORTER_ASSERT(reporter, (c0 * r0 == SkV4{c0.x*r0.x, c0.y*r0.y, c0.z*r0.z, c0.w*r0.w})); |
| 132 | +} |
| 133 | + |
| 134 | +DEF_TEST(M44_rotate, reporter) { |
| 135 | + const SkV3 x = {1, 0, 0}, |
| 136 | + y = {0, 1, 0}, |
| 137 | + z = {0, 0, 1}; |
| 138 | + |
| 139 | + // We have radians version of setRotateAbout methods, but even with our best approx |
| 140 | + // for PI, sin(SK_ScalarPI) != 0, so to make the comparisons in the unittest clear, |
| 141 | + // I'm using the variants that explicitly take the sin,cos values. |
| 142 | + |
| 143 | + struct { |
| 144 | + SkScalar sinAngle, cosAngle; |
| 145 | + SkV3 aboutAxis; |
| 146 | + SkV3 expectedX, expectedY, expectedZ; |
| 147 | + } recs[] = { |
| 148 | + { 0, 1, x, x, y, z}, // angle = 0 |
| 149 | + { 0, 1, y, x, y, z}, // angle = 0 |
| 150 | + { 0, 1, z, x, y, z}, // angle = 0 |
| 151 | + |
| 152 | + { 0,-1, x, x,-y,-z}, // angle = 180 |
| 153 | + { 0,-1, y, -x, y,-z}, // angle = 180 |
| 154 | + { 0,-1, z, -x,-y, z}, // angle = 180 |
| 155 | + |
| 156 | + // Skia coordinate system is right-handed |
| 157 | + |
| 158 | + { 1, 0, x, x, z,-y}, // angle = 90 |
| 159 | + { 1, 0, y, -z, y, x}, // angle = 90 |
| 160 | + { 1, 0, z, y,-x, z}, // angle = 90 |
| 161 | + |
| 162 | + {-1, 0, x, x,-z, y}, // angle = -90 |
| 163 | + {-1, 0, y, z, y,-x}, // angle = -90 |
| 164 | + {-1, 0, z, -y, x, z}, // angle = -90 |
| 165 | + }; |
| 166 | + |
| 167 | + for (const auto& r : recs) { |
| 168 | + SkM44 m(SkM44::kNaN_Constructor); |
| 169 | + m.setRotateUnitSinCos(r.aboutAxis, r.sinAngle, r.cosAngle); |
| 170 | + |
| 171 | + auto mx = m * x; |
| 172 | + auto my = m * y; |
| 173 | + auto mz = m * z; |
| 174 | + REPORTER_ASSERT(reporter, mx == r.expectedX); |
| 175 | + REPORTER_ASSERT(reporter, my == r.expectedY); |
| 176 | + REPORTER_ASSERT(reporter, mz == r.expectedZ); |
| 177 | + |
| 178 | + // flipping the axis-of-rotation should flip the results |
| 179 | + mx = m * -x; |
| 180 | + my = m * -y; |
| 181 | + mz = m * -z; |
| 182 | + REPORTER_ASSERT(reporter, mx == -r.expectedX); |
| 183 | + REPORTER_ASSERT(reporter, my == -r.expectedY); |
| 184 | + REPORTER_ASSERT(reporter, mz == -r.expectedZ); |
| 185 | + } |
| 186 | +} |
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