libs/hwui/Matrix.cpp - platform/frameworks/base - Gitiles

 /*
  * Copyright (C) 2010 The Android Open Source Project
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
  * You may obtain a copy of the License at
  *
  *      http://www.apache.org/licenses/LICENSE-2.0
  *
  * Unless required by applicable law or agreed to in writing, software
  * distributed under the License is distributed on an "AS IS" BASIS,
  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  * See the License for the specific language governing permissions and
  * limitations under the License.
  */

 #define LOG_TAG "OpenGLRenderer"

 #include <math.h>
 #include <stdlib.h>
 #include <string.h>

 #include <utils/Log.h>

 #include <SkMatrix.h>

 #include "Matrix.h"

 namespace android {
 namespace uirenderer {

 void Matrix4::loadIdentity() {
     data[kScaleX]       = 1.0f;
     data[kSkewY]        = 0.0f;
     data[2]             = 0.0f;
     data[kPerspective0] = 0.0f;

     data[kSkewX]        = 0.0f;
     data[kScaleY]       = 1.0f;
     data[6]             = 0.0f;
     data[kPerspective1] = 0.0f;

     data[8]             = 0.0f;
     data[9]             = 0.0f;
     data[kScaleZ]       = 1.0f;
     data[11]            = 0.0f;

     data[kTranslateX]   = 0.0f;
     data[kTranslateY]   = 0.0f;
     data[kTranslateZ]   = 0.0f;
     data[kPerspective2] = 1.0f;

     mSimpleMatrix = true;
 }

 void Matrix4::load(const float* v) {
     memcpy(data, v, sizeof(data));
     mSimpleMatrix = false;
 }

 void Matrix4::load(const Matrix4& v) {
     memcpy(data, v.data, sizeof(data));
     mSimpleMatrix = v.mSimpleMatrix;
 }

 void Matrix4::load(const SkMatrix& v) {
     memset(data, 0, sizeof(data));

     data[kScaleX]     = v[SkMatrix::kMScaleX];
     data[kSkewX]      = v[SkMatrix::kMSkewX];
     data[kTranslateX] = v[SkMatrix::kMTransX];

     data[kSkewY]      = v[SkMatrix::kMSkewY];
     data[kScaleY]     = v[SkMatrix::kMScaleY];
     data[kTranslateY] = v[SkMatrix::kMTransY];

     data[kPerspective0]  = v[SkMatrix::kMPersp0];
     data[kPerspective1]  = v[SkMatrix::kMPersp1];
     data[kPerspective2]  = v[SkMatrix::kMPersp2];

     data[kScaleZ] = 1.0f;

     mSimpleMatrix = (v.getType() <= SkMatrix::kScale_Mask);
 }

 void Matrix4::copyTo(SkMatrix& v) const {
     v.reset();

     v.set(SkMatrix::kMScaleX, data[kScaleX]);
     v.set(SkMatrix::kMSkewX,  data[kSkewX]);
     v.set(SkMatrix::kMTransX, data[kTranslateX]);

     v.set(SkMatrix::kMSkewY,  data[kSkewY]);
     v.set(SkMatrix::kMScaleY, data[kScaleY]);
     v.set(SkMatrix::kMTransY, data[kTranslateY]);

     v.set(SkMatrix::kMPersp0, data[kPerspective0]);
     v.set(SkMatrix::kMPersp1, data[kPerspective1]);
     v.set(SkMatrix::kMPersp2, data[kPerspective2]);
 }

 void Matrix4::loadInverse(const Matrix4& v) {
     double scale = 1.0 /
             (v.data[kScaleX] * ((double) v.data[kScaleY]  * v.data[kPerspective2] -
                     (double) v.data[kTranslateY] * v.data[kPerspective1]) +
              v.data[kSkewX] * ((double) v.data[kTranslateY] * v.data[kPerspective0] -
                      (double) v.data[kSkewY] * v.data[kPerspective2]) +
              v.data[kTranslateX] * ((double) v.data[kSkewY] * v.data[kPerspective1] -
                      (double) v.data[kScaleY] * v.data[kPerspective0]));

     data[kScaleX] = (v.data[kScaleY] * v.data[kPerspective2] -
             v.data[kTranslateY] * v.data[kPerspective1])  * scale;
     data[kSkewX] = (v.data[kTranslateX] * v.data[kPerspective1] -
             v.data[kSkewX]  * v.data[kPerspective2]) * scale;
     data[kTranslateX] = (v.data[kSkewX] * v.data[kTranslateY] -
             v.data[kTranslateX] * v.data[kScaleY])  * scale;

     data[kSkewY] = (v.data[kTranslateY] * v.data[kPerspective0] -
             v.data[kSkewY]  * v.data[kPerspective2]) * scale;
     data[kScaleY] = (v.data[kScaleX] * v.data[kPerspective2] -
             v.data[kTranslateX] * v.data[kPerspective0])  * scale;
     data[kTranslateY] = (v.data[kTranslateX] * v.data[kSkewY] -
             v.data[kScaleX]  * v.data[kTranslateY]) * scale;

     data[kPerspective0] = (v.data[kSkewY] * v.data[kPerspective1] -
             v.data[kScaleY] * v.data[kPerspective0]) * scale;
     data[kPerspective1] = (v.data[kSkewX] * v.data[kPerspective0] -
             v.data[kScaleX] * v.data[kPerspective1]) * scale;
     data[kPerspective2] = (v.data[kScaleX] * v.data[kScaleY] -
             v.data[kSkewX] * v.data[kSkewY]) * scale;

     mSimpleMatrix = v.mSimpleMatrix;
 }

 void Matrix4::copyTo(float* v) const {
     memcpy(v, data, sizeof(data));
 }

 float Matrix4::getTranslateX() {
     return data[kTranslateX];
 }

 float Matrix4::getTranslateY() {
     return data[kTranslateY];
 }

 void Matrix4::loadTranslate(float x, float y, float z) {
     loadIdentity();
     data[kTranslateX] = x;
     data[kTranslateY] = y;
     data[kTranslateZ] = z;
 }

 void Matrix4::loadScale(float sx, float sy, float sz) {
     loadIdentity();
     data[kScaleX] = sx;
     data[kScaleY] = sy;
     data[kScaleZ] = sz;
 }

 void Matrix4::loadRotate(float angle, float x, float y, float z) {
     data[kPerspective0]  = 0.0f;
     data[kPerspective1]  = 0.0f;
     data[11]             = 0.0f;
     data[kTranslateX]    = 0.0f;
     data[kTranslateY]    = 0.0f;
     data[kTranslateZ]    = 0.0f;
     data[kPerspective2]  = 1.0f;

     angle *= float(M_PI / 180.0f);
     float c = cosf(angle);
     float s = sinf(angle);

     const float length = sqrtf(x * x + y * y + z * z);
     float recipLen = 1.0f / length;
     x *= recipLen;
     y *= recipLen;
     z *= recipLen;

     const float nc = 1.0f - c;
     const float xy = x * y;
     const float yz = y * z;
     const float zx = z * x;
     const float xs = x * s;
     const float ys = y * s;
     const float zs = z * s;

     data[kScaleX] = x * x * nc +  c;
     data[kSkewX]  =    xy * nc - zs;
     data[8]       =    zx * nc + ys;
     data[kSkewY]  =    xy * nc + zs;
     data[kScaleY] = y * y * nc +  c;
     data[9]       =    yz * nc - xs;
     data[2]       =    zx * nc - ys;
     data[6]       =    yz * nc + xs;
     data[kScaleZ] = z * z * nc +  c;

     mSimpleMatrix = false;
 }

 void Matrix4::loadMultiply(const Matrix4& u, const Matrix4& v) {
     for (int i = 0 ; i < 4 ; i++) {
         float x = 0;
         float y = 0;
         float z = 0;
         float w = 0;

         for (int j = 0 ; j < 4 ; j++) {
             const float e = v.get(i, j);
             x += u.get(j, 0) * e;
             y += u.get(j, 1) * e;
             z += u.get(j, 2) * e;
             w += u.get(j, 3) * e;
         }

         set(i, 0, x);
         set(i, 1, y);
         set(i, 2, z);
         set(i, 3, w);
     }

     mSimpleMatrix = u.mSimpleMatrix && v.mSimpleMatrix;
 }

 void Matrix4::loadOrtho(float left, float right, float bottom, float top, float near, float far) {
     loadIdentity();
     data[kScaleX] = 2.0f / (right - left);
     data[kScaleY] = 2.0f / (top - bottom);
     data[kScaleZ] = -2.0f / (far - near);
     data[kTranslateX] = -(right + left) / (right - left);
     data[kTranslateY] = -(top + bottom) / (top - bottom);
     data[kTranslateZ] = -(far + near) / (far - near);
 }

 #define MUL_ADD_STORE(a, b, c) a = (a) * (b) + (c)

 void Matrix4::mapPoint(float& x, float& y) const {
     if (mSimpleMatrix) {
         MUL_ADD_STORE(x, data[kScaleX], data[kTranslateX]);
         MUL_ADD_STORE(y, data[kScaleY], data[kTranslateY]);
         return;
     }

     float dx = x * data[kScaleX] + y * data[kSkewX] + data[kTranslateX];
     float dy = x * data[kSkewY] + y * data[kScaleY] + data[kTranslateY];
     float dz = x * data[kPerspective0] + y * data[kPerspective1] + data[kPerspective2];
     if (dz) dz = 1.0f / dz;

     x = dx * dz;
     y = dy * dz;
 }

 void Matrix4::mapRect(Rect& r) const {
     if (mSimpleMatrix) {
         MUL_ADD_STORE(r.left, data[kScaleX], data[kTranslateX]);
         MUL_ADD_STORE(r.right, data[kScaleX], data[kTranslateX]);
         MUL_ADD_STORE(r.top, data[kScaleY], data[kTranslateY]);
         MUL_ADD_STORE(r.bottom, data[kScaleY], data[kTranslateY]);
         return;
     }

     float vertices[] = {
         r.left, r.top,
         r.right, r.top,
         r.right, r.bottom,
         r.left, r.bottom
     };

     float x, y, z;

     for (int i = 0; i < 8; i+= 2) {
         float px = vertices[i];
         float py = vertices[i + 1];

         x = px * data[kScaleX] + py * data[kSkewX] + data[kTranslateX];
         y = px * data[kSkewY] + py * data[kScaleY] + data[kTranslateY];
         z = px * data[kPerspective0] + py * data[kPerspective1] + data[kPerspective2];
         if (z) z = 1.0f / z;

         vertices[i] = x * z;
         vertices[i + 1] = y * z;
     }

     r.left = r.right = vertices[0];
     r.top = r.bottom = vertices[1];

     for (int i = 2; i < 8; i += 2) {
         x = vertices[i];
         y = vertices[i + 1];

         if (x < r.left) r.left = x;
         else if (x > r.right) r.right = x;
         if (y < r.top) r.top = y;
         else if (y > r.bottom) r.bottom = y;
     }
 }

 void Matrix4::dump() const {
     LOGD("Matrix4[simple=%d", mSimpleMatrix);
     LOGD("  %f %f %f %f", data[kScaleX], data[kSkewX], data[8], data[kTranslateX]);
     LOGD("  %f %f %f %f", data[kSkewY], data[kScaleY], data[9], data[kTranslateY]);
     LOGD("  %f %f %f %f", data[2], data[6], data[kScaleZ], data[kTranslateZ]);
     LOGD("  %f %f %f %f", data[kPerspective0], data[kPerspective1], data[11], data[kPerspective2]);
     LOGD("]");
 }

 }; // namespace uirenderer
 }; // namespace android
	/*
	* Copyright (C) 2010 The Android Open Source Project
	*
	* Licensed under the Apache License, Version 2.0 (the "License");
	* you may not use this file except in compliance with the License.
	* You may obtain a copy of the License at
	*
	* http://www.apache.org/licenses/LICENSE-2.0
	*
	* Unless required by applicable law or agreed to in writing, software
	* distributed under the License is distributed on an "AS IS" BASIS,
	* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
	* See the License for the specific language governing permissions and
	* limitations under the License.
	*/

	#define LOG_TAG "OpenGLRenderer"

	#include <math.h>
	#include <stdlib.h>
	#include <string.h>

	#include <utils/Log.h>

	#include <SkMatrix.h>

	#include "Matrix.h"

	namespace android {
	namespace uirenderer {

	void Matrix4::loadIdentity() {
	data[kScaleX] = 1.0f;
	data[kSkewY] = 0.0f;
	data[2] = 0.0f;
	data[kPerspective0] = 0.0f;

	data[kSkewX] = 0.0f;
	data[kScaleY] = 1.0f;
	data[6] = 0.0f;
	data[kPerspective1] = 0.0f;

	data[8] = 0.0f;
	data[9] = 0.0f;
	data[kScaleZ] = 1.0f;
	data[11] = 0.0f;

	data[kTranslateX] = 0.0f;
	data[kTranslateY] = 0.0f;
	data[kTranslateZ] = 0.0f;
	data[kPerspective2] = 1.0f;

	mSimpleMatrix = true;
	}

	void Matrix4::load(const float* v) {
	memcpy(data, v, sizeof(data));
	mSimpleMatrix = false;
	}

	void Matrix4::load(const Matrix4& v) {
	memcpy(data, v.data, sizeof(data));
	mSimpleMatrix = v.mSimpleMatrix;
	}

	void Matrix4::load(const SkMatrix& v) {
	memset(data, 0, sizeof(data));

	data[kScaleX] = v[SkMatrix::kMScaleX];
	data[kSkewX] = v[SkMatrix::kMSkewX];
	data[kTranslateX] = v[SkMatrix::kMTransX];

	data[kSkewY] = v[SkMatrix::kMSkewY];
	data[kScaleY] = v[SkMatrix::kMScaleY];
	data[kTranslateY] = v[SkMatrix::kMTransY];

	data[kPerspective0] = v[SkMatrix::kMPersp0];
	data[kPerspective1] = v[SkMatrix::kMPersp1];
	data[kPerspective2] = v[SkMatrix::kMPersp2];

	data[kScaleZ] = 1.0f;

	mSimpleMatrix = (v.getType() <= SkMatrix::kScale_Mask);
	}

	void Matrix4::copyTo(SkMatrix& v) const {
	v.reset();

	v.set(SkMatrix::kMScaleX, data[kScaleX]);
	v.set(SkMatrix::kMSkewX, data[kSkewX]);
	v.set(SkMatrix::kMTransX, data[kTranslateX]);

	v.set(SkMatrix::kMSkewY, data[kSkewY]);
	v.set(SkMatrix::kMScaleY, data[kScaleY]);
	v.set(SkMatrix::kMTransY, data[kTranslateY]);

	v.set(SkMatrix::kMPersp0, data[kPerspective0]);
	v.set(SkMatrix::kMPersp1, data[kPerspective1]);
	v.set(SkMatrix::kMPersp2, data[kPerspective2]);
	}

	void Matrix4::loadInverse(const Matrix4& v) {
	double scale = 1.0 /
	(v.data[kScaleX] * ((double) v.data[kScaleY] * v.data[kPerspective2] -
	(double) v.data[kTranslateY] * v.data[kPerspective1]) +
	v.data[kSkewX] * ((double) v.data[kTranslateY] * v.data[kPerspective0] -
	(double) v.data[kSkewY] * v.data[kPerspective2]) +
	v.data[kTranslateX] * ((double) v.data[kSkewY] * v.data[kPerspective1] -
	(double) v.data[kScaleY] * v.data[kPerspective0]));

	data[kScaleX] = (v.data[kScaleY] * v.data[kPerspective2] -
	v.data[kTranslateY] * v.data[kPerspective1]) * scale;
	data[kSkewX] = (v.data[kTranslateX] * v.data[kPerspective1] -
	v.data[kSkewX] * v.data[kPerspective2]) * scale;
	data[kTranslateX] = (v.data[kSkewX] * v.data[kTranslateY] -
	v.data[kTranslateX] * v.data[kScaleY]) * scale;

	data[kSkewY] = (v.data[kTranslateY] * v.data[kPerspective0] -
	v.data[kSkewY] * v.data[kPerspective2]) * scale;
	data[kScaleY] = (v.data[kScaleX] * v.data[kPerspective2] -
	v.data[kTranslateX] * v.data[kPerspective0]) * scale;
	data[kTranslateY] = (v.data[kTranslateX] * v.data[kSkewY] -
	v.data[kScaleX] * v.data[kTranslateY]) * scale;

	data[kPerspective0] = (v.data[kSkewY] * v.data[kPerspective1] -
	v.data[kScaleY] * v.data[kPerspective0]) * scale;
	data[kPerspective1] = (v.data[kSkewX] * v.data[kPerspective0] -
	v.data[kScaleX] * v.data[kPerspective1]) * scale;
	data[kPerspective2] = (v.data[kScaleX] * v.data[kScaleY] -
	v.data[kSkewX] * v.data[kSkewY]) * scale;

	mSimpleMatrix = v.mSimpleMatrix;
	}

	void Matrix4::copyTo(float* v) const {
	memcpy(v, data, sizeof(data));
	}

	float Matrix4::getTranslateX() {
	return data[kTranslateX];
	}

	float Matrix4::getTranslateY() {
	return data[kTranslateY];
	}

	void Matrix4::loadTranslate(float x, float y, float z) {
	loadIdentity();
	data[kTranslateX] = x;
	data[kTranslateY] = y;
	data[kTranslateZ] = z;
	}

	void Matrix4::loadScale(float sx, float sy, float sz) {
	loadIdentity();
	data[kScaleX] = sx;
	data[kScaleY] = sy;
	data[kScaleZ] = sz;
	}

	void Matrix4::loadRotate(float angle, float x, float y, float z) {
	data[kPerspective0] = 0.0f;
	data[kPerspective1] = 0.0f;
	data[11] = 0.0f;
	data[kTranslateX] = 0.0f;
	data[kTranslateY] = 0.0f;
	data[kTranslateZ] = 0.0f;
	data[kPerspective2] = 1.0f;

	angle *= float(M_PI / 180.0f);
	float c = cosf(angle);
	float s = sinf(angle);

	const float length = sqrtf(x * x + y * y + z * z);
	float recipLen = 1.0f / length;
	x *= recipLen;
	y *= recipLen;
	z *= recipLen;

	const float nc = 1.0f - c;
	const float xy = x * y;
	const float yz = y * z;
	const float zx = z * x;
	const float xs = x * s;
	const float ys = y * s;
	const float zs = z * s;

	data[kScaleX] = x * x * nc + c;
	data[kSkewX] = xy * nc - zs;
	data[8] = zx * nc + ys;
	data[kSkewY] = xy * nc + zs;
	data[kScaleY] = y * y * nc + c;
	data[9] = yz * nc - xs;
	data[2] = zx * nc - ys;
	data[6] = yz * nc + xs;
	data[kScaleZ] = z * z * nc + c;

	mSimpleMatrix = false;
	}

	void Matrix4::loadMultiply(const Matrix4& u, const Matrix4& v) {
	for (int i = 0 ; i < 4 ; i++) {
	float x = 0;
	float y = 0;
	float z = 0;
	float w = 0;

	for (int j = 0 ; j < 4 ; j++) {
	const float e = v.get(i, j);
	x += u.get(j, 0) * e;
	y += u.get(j, 1) * e;
	z += u.get(j, 2) * e;
	w += u.get(j, 3) * e;
	}

	set(i, 0, x);
	set(i, 1, y);
	set(i, 2, z);
	set(i, 3, w);
	}

	mSimpleMatrix = u.mSimpleMatrix && v.mSimpleMatrix;
	}

	void Matrix4::loadOrtho(float left, float right, float bottom, float top, float near, float far) {
	loadIdentity();
	data[kScaleX] = 2.0f / (right - left);
	data[kScaleY] = 2.0f / (top - bottom);
	data[kScaleZ] = -2.0f / (far - near);
	data[kTranslateX] = -(right + left) / (right - left);
	data[kTranslateY] = -(top + bottom) / (top - bottom);
	data[kTranslateZ] = -(far + near) / (far - near);
	}

	#define MUL_ADD_STORE(a, b, c) a = (a) * (b) + (c)

	void Matrix4::mapPoint(float& x, float& y) const {
	if (mSimpleMatrix) {
	MUL_ADD_STORE(x, data[kScaleX], data[kTranslateX]);
	MUL_ADD_STORE(y, data[kScaleY], data[kTranslateY]);
	return;
	}

	float dx = x * data[kScaleX] + y * data[kSkewX] + data[kTranslateX];
	float dy = x * data[kSkewY] + y * data[kScaleY] + data[kTranslateY];
	float dz = x * data[kPerspective0] + y * data[kPerspective1] + data[kPerspective2];
	if (dz) dz = 1.0f / dz;

	x = dx * dz;
	y = dy * dz;
	}

	void Matrix4::mapRect(Rect& r) const {
	if (mSimpleMatrix) {
	MUL_ADD_STORE(r.left, data[kScaleX], data[kTranslateX]);
	MUL_ADD_STORE(r.right, data[kScaleX], data[kTranslateX]);
	MUL_ADD_STORE(r.top, data[kScaleY], data[kTranslateY]);
	MUL_ADD_STORE(r.bottom, data[kScaleY], data[kTranslateY]);
	return;
	}

	float vertices[] = {
	r.left, r.top,
	r.right, r.top,
	r.right, r.bottom,
	r.left, r.bottom
	};

	float x, y, z;

	for (int i = 0; i < 8; i+= 2) {
	float px = vertices[i];
	float py = vertices[i + 1];

	x = px * data[kScaleX] + py * data[kSkewX] + data[kTranslateX];
	y = px * data[kSkewY] + py * data[kScaleY] + data[kTranslateY];
	z = px * data[kPerspective0] + py * data[kPerspective1] + data[kPerspective2];
	if (z) z = 1.0f / z;

	vertices[i] = x * z;
	vertices[i + 1] = y * z;
	}

	r.left = r.right = vertices[0];
	r.top = r.bottom = vertices[1];

	for (int i = 2; i < 8; i += 2) {
	x = vertices[i];
	y = vertices[i + 1];

	if (x < r.left) r.left = x;
	else if (x > r.right) r.right = x;
	if (y < r.top) r.top = y;
	else if (y > r.bottom) r.bottom = y;
	}
	}

	void Matrix4::dump() const {
	LOGD("Matrix4[simple=%d", mSimpleMatrix);
	LOGD(" %f %f %f %f", data[kScaleX], data[kSkewX], data[8], data[kTranslateX]);
	LOGD(" %f %f %f %f", data[kSkewY], data[kScaleY], data[9], data[kTranslateY]);
	LOGD(" %f %f %f %f", data[2], data[6], data[kScaleZ], data[kTranslateZ]);
	LOGD(" %f %f %f %f", data[kPerspective0], data[kPerspective1], data[11], data[kPerspective2]);
	LOGD("]");
	}

	}; // namespace uirenderer
	}; // namespace android