Matrix.cpp revision 1d83e1981c8b89da93dff37a4f8b2b1ad8480b44
1/* 2 * Copyright (C) 2010 The Android Open Source Project 3 * 4 * Licensed under the Apache License, Version 2.0 (the "License"); 5 * you may not use this file except in compliance with the License. 6 * You may obtain a copy of the License at 7 * 8 * http://www.apache.org/licenses/LICENSE-2.0 9 * 10 * Unless required by applicable law or agreed to in writing, software 11 * distributed under the License is distributed on an "AS IS" BASIS, 12 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 13 * See the License for the specific language governing permissions and 14 * limitations under the License. 15 */ 16 17#define LOG_TAG "OpenGLRenderer" 18 19#include <math.h> 20#include <stdlib.h> 21#include <string.h> 22 23#include <utils/Log.h> 24 25#include <SkMatrix.h> 26 27#include "Matrix.h" 28 29namespace android { 30namespace uirenderer { 31 32void Matrix4::loadIdentity() { 33 data[kScaleX] = 1.0f; 34 data[kSkewY] = 0.0f; 35 data[2] = 0.0f; 36 data[kPerspective0] = 0.0f; 37 38 data[kSkewX] = 0.0f; 39 data[kScaleY] = 1.0f; 40 data[6] = 0.0f; 41 data[kPerspective1] = 0.0f; 42 43 data[8] = 0.0f; 44 data[9] = 0.0f; 45 data[kScaleZ] = 1.0f; 46 data[11] = 0.0f; 47 48 data[kTranslateX] = 0.0f; 49 data[kTranslateY] = 0.0f; 50 data[kTranslateZ] = 0.0f; 51 data[kPerspective2] = 1.0f; 52 53 mSimpleMatrix = true; 54} 55 56void Matrix4::load(const float* v) { 57 memcpy(data, v, sizeof(data)); 58 mSimpleMatrix = false; 59} 60 61void Matrix4::load(const Matrix4& v) { 62 memcpy(data, v.data, sizeof(data)); 63 mSimpleMatrix = v.mSimpleMatrix; 64} 65 66void Matrix4::load(const SkMatrix& v) { 67 memset(data, 0, sizeof(data)); 68 69 data[kScaleX] = v[SkMatrix::kMScaleX]; 70 data[kSkewX] = v[SkMatrix::kMSkewX]; 71 data[kTranslateX] = v[SkMatrix::kMTransX]; 72 73 data[kSkewY] = v[SkMatrix::kMSkewY]; 74 data[kScaleY] = v[SkMatrix::kMScaleY]; 75 data[kTranslateY] = v[SkMatrix::kMTransY]; 76 77 data[kPerspective0] = v[SkMatrix::kMPersp0]; 78 data[kPerspective1] = v[SkMatrix::kMPersp1]; 79 data[kPerspective2] = v[SkMatrix::kMPersp2]; 80 81 data[kScaleZ] = 1.0f; 82 83 mSimpleMatrix = (v.getType() <= SkMatrix::kScale_Mask); 84} 85 86void Matrix4::copyTo(SkMatrix& v) const { 87 v.reset(); 88 89 v.set(SkMatrix::kMScaleX, data[kScaleX]); 90 v.set(SkMatrix::kMSkewX, data[kSkewX]); 91 v.set(SkMatrix::kMTransX, data[kTranslateX]); 92 93 v.set(SkMatrix::kMSkewY, data[kSkewY]); 94 v.set(SkMatrix::kMScaleY, data[kScaleY]); 95 v.set(SkMatrix::kMTransY, data[kTranslateY]); 96 97 v.set(SkMatrix::kMPersp0, data[kPerspective0]); 98 v.set(SkMatrix::kMPersp1, data[kPerspective1]); 99 v.set(SkMatrix::kMPersp2, data[kPerspective2]); 100} 101 102void Matrix4::loadInverse(const Matrix4& v) { 103 double scale = 1.0 / 104 (v.data[kScaleX] * ((double) v.data[kScaleY] * v.data[kPerspective2] - 105 (double) v.data[kTranslateY] * v.data[kPerspective1]) + 106 v.data[kSkewX] * ((double) v.data[kTranslateY] * v.data[kPerspective0] - 107 (double) v.data[kSkewY] * v.data[kPerspective2]) + 108 v.data[kTranslateX] * ((double) v.data[kSkewY] * v.data[kPerspective1] - 109 (double) v.data[kScaleY] * v.data[kPerspective0])); 110 111 data[kScaleX] = (v.data[kScaleY] * v.data[kPerspective2] - 112 v.data[kTranslateY] * v.data[kPerspective1]) * scale; 113 data[kSkewX] = (v.data[kTranslateX] * v.data[kPerspective1] - 114 v.data[kSkewX] * v.data[kPerspective2]) * scale; 115 data[kTranslateX] = (v.data[kSkewX] * v.data[kTranslateY] - 116 v.data[kTranslateX] * v.data[kScaleY]) * scale; 117 118 data[kSkewY] = (v.data[kTranslateY] * v.data[kPerspective0] - 119 v.data[kSkewY] * v.data[kPerspective2]) * scale; 120 data[kScaleY] = (v.data[kScaleX] * v.data[kPerspective2] - 121 v.data[kTranslateX] * v.data[kPerspective0]) * scale; 122 data[kTranslateY] = (v.data[kTranslateX] * v.data[kSkewY] - 123 v.data[kScaleX] * v.data[kTranslateY]) * scale; 124 125 data[kPerspective0] = (v.data[kSkewY] * v.data[kPerspective1] - 126 v.data[kScaleY] * v.data[kPerspective0]) * scale; 127 data[kPerspective1] = (v.data[kSkewX] * v.data[kPerspective0] - 128 v.data[kScaleX] * v.data[kPerspective1]) * scale; 129 data[kPerspective2] = (v.data[kScaleX] * v.data[kScaleY] - 130 v.data[kSkewX] * v.data[kSkewY]) * scale; 131 132 mSimpleMatrix = v.mSimpleMatrix; 133} 134 135void Matrix4::copyTo(float* v) const { 136 memcpy(v, data, sizeof(data)); 137} 138 139float Matrix4::getTranslateX() { 140 return data[kTranslateX]; 141} 142 143float Matrix4::getTranslateY() { 144 return data[kTranslateY]; 145} 146 147void Matrix4::loadTranslate(float x, float y, float z) { 148 loadIdentity(); 149 data[kTranslateX] = x; 150 data[kTranslateY] = y; 151 data[kTranslateZ] = z; 152} 153 154void Matrix4::loadScale(float sx, float sy, float sz) { 155 loadIdentity(); 156 data[kScaleX] = sx; 157 data[kScaleY] = sy; 158 data[kScaleZ] = sz; 159} 160 161void Matrix4::loadRotate(float angle, float x, float y, float z) { 162 data[kPerspective0] = 0.0f; 163 data[kPerspective1] = 0.0f; 164 data[11] = 0.0f; 165 data[kTranslateX] = 0.0f; 166 data[kTranslateY] = 0.0f; 167 data[kTranslateZ] = 0.0f; 168 data[kPerspective2] = 1.0f; 169 170 angle *= float(M_PI / 180.0f); 171 float c = cosf(angle); 172 float s = sinf(angle); 173 174 const float length = sqrtf(x * x + y * y + z * z); 175 float recipLen = 1.0f / length; 176 x *= recipLen; 177 y *= recipLen; 178 z *= recipLen; 179 180 const float nc = 1.0f - c; 181 const float xy = x * y; 182 const float yz = y * z; 183 const float zx = z * x; 184 const float xs = x * s; 185 const float ys = y * s; 186 const float zs = z * s; 187 188 data[kScaleX] = x * x * nc + c; 189 data[kSkewX] = xy * nc - zs; 190 data[8] = zx * nc + ys; 191 data[kSkewY] = xy * nc + zs; 192 data[kScaleY] = y * y * nc + c; 193 data[9] = yz * nc - xs; 194 data[2] = zx * nc - ys; 195 data[6] = yz * nc + xs; 196 data[kScaleZ] = z * z * nc + c; 197 198 mSimpleMatrix = false; 199} 200 201void Matrix4::loadMultiply(const Matrix4& u, const Matrix4& v) { 202 for (int i = 0 ; i < 4 ; i++) { 203 float x = 0; 204 float y = 0; 205 float z = 0; 206 float w = 0; 207 208 for (int j = 0 ; j < 4 ; j++) { 209 const float e = v.get(i, j); 210 x += u.get(j, 0) * e; 211 y += u.get(j, 1) * e; 212 z += u.get(j, 2) * e; 213 w += u.get(j, 3) * e; 214 } 215 216 set(i, 0, x); 217 set(i, 1, y); 218 set(i, 2, z); 219 set(i, 3, w); 220 } 221 222 mSimpleMatrix = u.mSimpleMatrix && v.mSimpleMatrix; 223} 224 225void Matrix4::loadOrtho(float left, float right, float bottom, float top, float near, float far) { 226 loadIdentity(); 227 data[kScaleX] = 2.0f / (right - left); 228 data[kScaleY] = 2.0f / (top - bottom); 229 data[kScaleZ] = -2.0f / (far - near); 230 data[kTranslateX] = -(right + left) / (right - left); 231 data[kTranslateY] = -(top + bottom) / (top - bottom); 232 data[kTranslateZ] = -(far + near) / (far - near); 233} 234 235#define MUL_ADD_STORE(a, b, c) a = (a) * (b) + (c) 236 237void Matrix4::mapPoint(float& x, float& y) const { 238 if (mSimpleMatrix) { 239 MUL_ADD_STORE(x, data[kScaleX], data[kTranslateX]); 240 MUL_ADD_STORE(y, data[kScaleY], data[kTranslateY]); 241 return; 242 } 243 244 float dx = x * data[kScaleX] + y * data[kSkewX] + data[kTranslateX]; 245 float dy = x * data[kSkewY] + y * data[kScaleY] + data[kTranslateY]; 246 float dz = x * data[kPerspective0] + y * data[kPerspective1] + data[kPerspective2]; 247 if (dz) dz = 1.0f / dz; 248 249 x = dx * dz; 250 y = dy * dz; 251} 252 253void Matrix4::mapRect(Rect& r) const { 254 if (mSimpleMatrix) { 255 MUL_ADD_STORE(r.left, data[kScaleX], data[kTranslateX]); 256 MUL_ADD_STORE(r.right, data[kScaleX], data[kTranslateX]); 257 MUL_ADD_STORE(r.top, data[kScaleY], data[kTranslateY]); 258 MUL_ADD_STORE(r.bottom, data[kScaleY], data[kTranslateY]); 259 return; 260 } 261 262 float vertices[] = { 263 r.left, r.top, 264 r.right, r.top, 265 r.right, r.bottom, 266 r.left, r.bottom 267 }; 268 269 float x, y, z; 270 271 for (int i = 0; i < 8; i+= 2) { 272 float px = vertices[i]; 273 float py = vertices[i + 1]; 274 275 x = px * data[kScaleX] + py * data[kSkewX] + data[kTranslateX]; 276 y = px * data[kSkewY] + py * data[kScaleY] + data[kTranslateY]; 277 z = px * data[kPerspective0] + py * data[kPerspective1] + data[kPerspective2]; 278 if (z) z = 1.0f / z; 279 280 vertices[i] = x * z; 281 vertices[i + 1] = y * z; 282 } 283 284 r.left = r.right = vertices[0]; 285 r.top = r.bottom = vertices[1]; 286 287 for (int i = 2; i < 8; i += 2) { 288 x = vertices[i]; 289 y = vertices[i + 1]; 290 291 if (x < r.left) r.left = x; 292 else if (x > r.right) r.right = x; 293 if (y < r.top) r.top = y; 294 else if (y > r.bottom) r.bottom = y; 295 } 296} 297 298void Matrix4::dump() const { 299 LOGD("Matrix4[simple=%d", mSimpleMatrix); 300 LOGD(" %f %f %f %f", data[kScaleX], data[kSkewX], data[8], data[kTranslateX]); 301 LOGD(" %f %f %f %f", data[kSkewY], data[kScaleY], data[9], data[kTranslateY]); 302 LOGD(" %f %f %f %f", data[2], data[6], data[kScaleZ], data[kTranslateZ]); 303 LOGD(" %f %f %f %f", data[kPerspective0], data[kPerspective1], data[11], data[kPerspective2]); 304 LOGD("]"); 305} 306 307}; // namespace uirenderer 308}; // namespace android 309