2009-03-04 03:31:44 +00:00
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/*
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* Copyright (C) 2007 The Android Open Source Project
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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2010-02-22 11:15:57 +00:00
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#include <math.h>
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2009-03-04 03:31:44 +00:00
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2010-02-22 11:15:57 +00:00
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#include <cutils/compiler.h>
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#include <utils/String8.h>
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#include <ui/Region.h>
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2009-03-04 03:31:44 +00:00
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2011-07-19 22:24:46 +00:00
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#include "clz.h"
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2009-03-04 03:31:44 +00:00
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#include "Transform.h"
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// ---------------------------------------------------------------------------
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2010-02-22 11:15:57 +00:00
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namespace android {
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2009-03-04 03:31:44 +00:00
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// ---------------------------------------------------------------------------
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2010-02-22 11:15:57 +00:00
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Transform::Transform() {
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reset();
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2009-03-04 03:31:44 +00:00
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}
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Transform::Transform(const Transform& other)
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2010-02-22 11:15:57 +00:00
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: mMatrix(other.mMatrix), mType(other.mType) {
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2009-03-04 03:31:44 +00:00
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}
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2010-02-22 11:15:57 +00:00
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Transform::Transform(uint32_t orientation) {
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set(orientation, 0, 0);
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2010-01-22 01:31:06 +00:00
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}
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2009-03-04 03:31:44 +00:00
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Transform::~Transform() {
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}
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2010-03-10 03:17:47 +00:00
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static const float EPSILON = 0.0f;
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2010-02-22 11:15:57 +00:00
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bool Transform::isZero(float f) {
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2010-03-10 03:17:47 +00:00
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return fabs(f) <= EPSILON;
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2010-02-22 11:15:57 +00:00
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}
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2010-03-10 03:17:47 +00:00
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bool Transform::absIsOne(float f) {
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return isZero(fabs(f) - 1.0f);
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2010-02-22 11:15:57 +00:00
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}
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2009-03-04 03:31:44 +00:00
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Transform Transform::operator * (const Transform& rhs) const
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{
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2010-02-22 11:15:57 +00:00
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if (CC_LIKELY(mType == IDENTITY))
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2009-03-04 03:31:44 +00:00
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return rhs;
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Transform r(*this);
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2010-02-22 11:15:57 +00:00
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if (rhs.mType == IDENTITY)
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return r;
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// TODO: we could use mType to optimize the matrix multiply
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const mat33& A(mMatrix);
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const mat33& B(rhs.mMatrix);
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mat33& D(r.mMatrix);
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for (int i=0 ; i<3 ; i++) {
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const float v0 = A[0][i];
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const float v1 = A[1][i];
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const float v2 = A[2][i];
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D[0][i] = v0*B[0][0] + v1*B[0][1] + v2*B[0][2];
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D[1][i] = v0*B[1][0] + v1*B[1][1] + v2*B[1][2];
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D[2][i] = v0*B[2][0] + v1*B[2][1] + v2*B[2][2];
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}
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2009-03-04 03:31:44 +00:00
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r.mType |= rhs.mType;
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2010-02-22 11:15:57 +00:00
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// TODO: we could recompute this value from r and rhs
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r.mType &= 0xFF;
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r.mType |= UNKNOWN_TYPE;
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2009-03-04 03:31:44 +00:00
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return r;
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}
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2013-09-02 04:36:12 +00:00
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const vec3& Transform::operator [] (size_t i) const {
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return mMatrix[i];
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2009-03-04 03:31:44 +00:00
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}
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bool Transform::transformed() const {
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2010-02-22 11:15:57 +00:00
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return type() > TRANSLATE;
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2009-03-04 03:31:44 +00:00
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}
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2011-08-31 01:51:54 +00:00
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float Transform::tx() const {
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return mMatrix[2][0];
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2009-03-04 03:31:44 +00:00
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}
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2011-08-31 01:51:54 +00:00
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float Transform::ty() const {
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return mMatrix[2][1];
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2009-03-04 03:31:44 +00:00
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}
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void Transform::reset() {
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2010-02-22 11:15:57 +00:00
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mType = IDENTITY;
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for(int i=0 ; i<3 ; i++) {
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vec3& v(mMatrix[i]);
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for (int j=0 ; j<3 ; j++)
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v[j] = ((i==j) ? 1.0f : 0.0f);
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}
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2009-03-04 03:31:44 +00:00
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}
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2010-02-22 11:15:57 +00:00
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void Transform::set(float tx, float ty)
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2009-03-04 03:31:44 +00:00
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{
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2010-02-22 11:15:57 +00:00
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mMatrix[2][0] = tx;
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mMatrix[2][1] = ty;
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mMatrix[2][2] = 1.0f;
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if (isZero(tx) && isZero(ty)) {
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mType &= ~TRANSLATE;
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} else {
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mType |= TRANSLATE;
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}
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2009-03-04 03:31:44 +00:00
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}
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2010-02-22 11:15:57 +00:00
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void Transform::set(float a, float b, float c, float d)
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2009-03-28 00:58:20 +00:00
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{
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2010-02-22 11:15:57 +00:00
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mat33& M(mMatrix);
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M[0][0] = a; M[1][0] = b;
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M[0][1] = c; M[1][1] = d;
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M[0][2] = 0; M[1][2] = 0;
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mType = UNKNOWN_TYPE;
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2009-03-28 00:58:20 +00:00
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}
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2010-03-10 03:17:47 +00:00
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status_t Transform::set(uint32_t flags, float w, float h)
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2009-03-04 03:31:44 +00:00
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{
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2010-03-10 03:17:47 +00:00
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if (flags & ROT_INVALID) {
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// that's not allowed!
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reset();
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return BAD_VALUE;
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}
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2010-10-24 21:53:05 +00:00
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Transform H, V, R;
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2010-10-26 01:29:35 +00:00
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if (flags & ROT_90) {
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// w & h are inverted when rotating by 90 degrees
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swap(w, h);
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}
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2010-02-22 11:15:57 +00:00
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if (flags & FLIP_H) {
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2010-10-24 21:53:05 +00:00
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H.mType = (FLIP_H << 8) | SCALE;
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H.mType |= isZero(w) ? IDENTITY : TRANSLATE;
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mat33& M(H.mMatrix);
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M[0][0] = -1;
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M[2][0] = w;
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2010-02-22 11:15:57 +00:00
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}
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if (flags & FLIP_V) {
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2010-10-24 21:53:05 +00:00
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V.mType = (FLIP_V << 8) | SCALE;
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V.mType |= isZero(h) ? IDENTITY : TRANSLATE;
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mat33& M(V.mMatrix);
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M[1][1] = -1;
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M[2][1] = h;
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2010-02-22 11:15:57 +00:00
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}
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2010-10-24 21:53:05 +00:00
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if (flags & ROT_90) {
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2010-10-26 01:29:35 +00:00
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const float original_w = h;
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2010-10-24 21:53:05 +00:00
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R.mType = (ROT_90 << 8) | ROTATE;
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2010-10-26 01:29:35 +00:00
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R.mType |= isZero(original_w) ? IDENTITY : TRANSLATE;
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2010-10-24 21:53:05 +00:00
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mat33& M(R.mMatrix);
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2010-10-26 01:29:35 +00:00
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M[0][0] = 0; M[1][0] =-1; M[2][0] = original_w;
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2010-10-24 21:53:05 +00:00
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M[0][1] = 1; M[1][1] = 0;
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2010-02-22 11:15:57 +00:00
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}
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2010-10-26 01:29:35 +00:00
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*this = (R*(H*V));
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2010-03-10 03:17:47 +00:00
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return NO_ERROR;
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2010-02-22 11:15:57 +00:00
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}
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2013-09-02 04:36:12 +00:00
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vec2 Transform::transform(const vec2& v) const {
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2010-02-22 11:15:57 +00:00
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vec2 r;
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const mat33& M(mMatrix);
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r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0];
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r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1];
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return r;
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2009-03-04 03:31:44 +00:00
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}
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2013-09-02 04:36:12 +00:00
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vec3 Transform::transform(const vec3& v) const {
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2010-02-22 11:15:57 +00:00
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vec3 r;
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const mat33& M(mMatrix);
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r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0]*v[2];
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r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1]*v[2];
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r[2] = M[0][2]*v[0] + M[1][2]*v[1] + M[2][2]*v[2];
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return r;
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}
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2013-09-02 04:36:12 +00:00
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vec2 Transform::transform(int x, int y) const
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2009-03-04 03:31:44 +00:00
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{
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2013-09-02 04:36:12 +00:00
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return transform(vec2(x,y));
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2009-03-04 03:31:44 +00:00
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}
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Rect Transform::makeBounds(int w, int h) const
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{
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2010-02-22 11:15:57 +00:00
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return transform( Rect(w, h) );
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2009-03-04 03:31:44 +00:00
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}
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Rect Transform::transform(const Rect& bounds) const
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{
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Rect r;
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2010-02-22 11:15:57 +00:00
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vec2 lt( bounds.left, bounds.top );
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vec2 rt( bounds.right, bounds.top );
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vec2 lb( bounds.left, bounds.bottom );
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vec2 rb( bounds.right, bounds.bottom );
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lt = transform(lt);
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rt = transform(rt);
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lb = transform(lb);
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rb = transform(rb);
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r.left = floorf(min(lt[0], rt[0], lb[0], rb[0]) + 0.5f);
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r.top = floorf(min(lt[1], rt[1], lb[1], rb[1]) + 0.5f);
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r.right = floorf(max(lt[0], rt[0], lb[0], rb[0]) + 0.5f);
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r.bottom = floorf(max(lt[1], rt[1], lb[1], rb[1]) + 0.5f);
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2009-03-04 03:31:44 +00:00
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return r;
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}
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Region Transform::transform(const Region& reg) const
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{
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Region out;
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2010-02-22 11:15:57 +00:00
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if (CC_UNLIKELY(transformed())) {
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if (CC_LIKELY(preserveRects())) {
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2009-05-11 07:03:41 +00:00
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Region::const_iterator it = reg.begin();
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Region::const_iterator const end = reg.end();
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while (it != end) {
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out.orSelf(transform(*it++));
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2009-03-04 03:31:44 +00:00
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}
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} else {
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out.set(transform(reg.bounds()));
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}
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} else {
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2011-08-31 01:51:54 +00:00
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int xpos = floorf(tx() + 0.5f);
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int ypos = floorf(ty() + 0.5f);
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out = reg.translate(xpos, ypos);
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2009-03-04 03:31:44 +00:00
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}
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return out;
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}
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2010-02-22 11:15:57 +00:00
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uint32_t Transform::type() const
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2009-03-04 03:31:44 +00:00
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{
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2010-02-22 11:15:57 +00:00
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if (mType & UNKNOWN_TYPE) {
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// recompute what this transform is
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const mat33& M(mMatrix);
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const float a = M[0][0];
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const float b = M[1][0];
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const float c = M[0][1];
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const float d = M[1][1];
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const float x = M[2][0];
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const float y = M[2][1];
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bool scale = false;
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uint32_t flags = ROT_0;
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if (isZero(b) && isZero(c)) {
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2010-03-10 03:17:47 +00:00
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if (a<0) flags |= FLIP_H;
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if (d<0) flags |= FLIP_V;
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if (!absIsOne(a) || !absIsOne(d)) {
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scale = true;
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2010-02-22 11:15:57 +00:00
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}
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} else if (isZero(a) && isZero(d)) {
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2010-03-10 03:17:47 +00:00
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flags |= ROT_90;
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2010-10-26 01:29:35 +00:00
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if (b>0) flags |= FLIP_V;
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if (c<0) flags |= FLIP_H;
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2010-03-10 03:17:47 +00:00
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if (!absIsOne(b) || !absIsOne(c)) {
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scale = true;
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2010-02-22 11:15:57 +00:00
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}
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} else {
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2011-07-12 21:51:45 +00:00
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// there is a skew component and/or a non 90 degrees rotation
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2010-02-22 11:15:57 +00:00
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flags = ROT_INVALID;
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}
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mType = flags << 8;
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if (flags & ROT_INVALID) {
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mType |= UNKNOWN;
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2009-03-04 03:31:44 +00:00
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} else {
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2010-02-22 11:15:57 +00:00
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if ((flags & ROT_90) || ((flags & ROT_180) == ROT_180))
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mType |= ROTATE;
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if (flags & FLIP_H)
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mType ^= SCALE;
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if (flags & FLIP_V)
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mType ^= SCALE;
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if (scale)
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mType |= SCALE;
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2009-03-04 03:31:44 +00:00
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}
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2010-02-22 11:15:57 +00:00
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if (!isZero(x) || !isZero(y))
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mType |= TRANSLATE;
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2009-03-04 03:31:44 +00:00
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}
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2010-02-22 11:15:57 +00:00
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return mType;
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}
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2013-03-01 01:12:07 +00:00
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Transform Transform::inverse() const {
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// our 3x3 matrix is always of the form of a 2x2 transformation
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// followed by a translation: T*M, therefore:
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// (T*M)^-1 = M^-1 * T^-1
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Transform result;
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|
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if (mType <= TRANSLATE) {
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// 1 0 x
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|
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// 0 1 y
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// 0 0 1
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result = *this;
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|
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result.mMatrix[2][0] = -result.mMatrix[2][0];
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result.mMatrix[2][1] = -result.mMatrix[2][1];
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} else {
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|
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// a c x
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|
// b d y
|
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|
// 0 0 1
|
|
|
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const mat33& M(mMatrix);
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const float a = M[0][0];
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const float b = M[1][0];
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const float c = M[0][1];
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const float d = M[1][1];
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const float x = M[2][0];
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const float y = M[2][1];
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|
|
|
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|
|
|
Transform R, T;
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|
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const float idet = 1.0 / (a*d - b*c);
|
|
|
|
R.mMatrix[0][0] = d*idet; R.mMatrix[0][1] = -c*idet;
|
|
|
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R.mMatrix[1][0] = -b*idet; R.mMatrix[1][1] = a*idet;
|
|
|
|
R.mType = mType &= ~TRANSLATE;
|
|
|
|
|
|
|
|
T.mMatrix[2][0] = -x;
|
|
|
|
T.mMatrix[2][1] = -y;
|
|
|
|
T.mType = TRANSLATE;
|
|
|
|
result = R * T;
|
|
|
|
}
|
|
|
|
return result;
|
|
|
|
}
|
|
|
|
|
2010-02-22 11:15:57 +00:00
|
|
|
uint32_t Transform::getType() const {
|
|
|
|
return type() & 0xFF;
|
|
|
|
}
|
|
|
|
|
|
|
|
uint32_t Transform::getOrientation() const
|
|
|
|
{
|
|
|
|
return (type() >> 8) & 0xFF;
|
2009-03-04 03:31:44 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
bool Transform::preserveRects() const
|
|
|
|
{
|
2011-07-25 20:57:16 +00:00
|
|
|
return (getOrientation() & ROT_INVALID) ? false : true;
|
2010-02-22 11:15:57 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
void Transform::dump(const char* name) const
|
|
|
|
{
|
|
|
|
type(); // updates the type
|
|
|
|
|
|
|
|
String8 flags, type;
|
|
|
|
const mat33& m(mMatrix);
|
|
|
|
uint32_t orient = mType >> 8;
|
|
|
|
|
2010-03-10 03:17:47 +00:00
|
|
|
if (orient&ROT_INVALID) {
|
2010-02-22 11:15:57 +00:00
|
|
|
flags.append("ROT_INVALID ");
|
2010-03-10 03:17:47 +00:00
|
|
|
} else {
|
|
|
|
if (orient&ROT_90) {
|
|
|
|
flags.append("ROT_90 ");
|
|
|
|
} else {
|
|
|
|
flags.append("ROT_0 ");
|
|
|
|
}
|
|
|
|
if (orient&FLIP_V)
|
|
|
|
flags.append("FLIP_V ");
|
|
|
|
if (orient&FLIP_H)
|
|
|
|
flags.append("FLIP_H ");
|
|
|
|
}
|
2010-02-22 11:15:57 +00:00
|
|
|
|
2010-03-10 03:17:47 +00:00
|
|
|
if (!(mType&(SCALE|ROTATE|TRANSLATE)))
|
|
|
|
type.append("IDENTITY ");
|
2010-02-22 11:15:57 +00:00
|
|
|
if (mType&SCALE)
|
|
|
|
type.append("SCALE ");
|
|
|
|
if (mType&ROTATE)
|
|
|
|
type.append("ROTATE ");
|
|
|
|
if (mType&TRANSLATE)
|
|
|
|
type.append("TRANSLATE ");
|
|
|
|
|
2011-12-20 16:23:08 +00:00
|
|
|
ALOGD("%s 0x%08x (%s, %s)", name, mType, flags.string(), type.string());
|
|
|
|
ALOGD("%.4f %.4f %.4f", m[0][0], m[1][0], m[2][0]);
|
|
|
|
ALOGD("%.4f %.4f %.4f", m[0][1], m[1][1], m[2][1]);
|
|
|
|
ALOGD("%.4f %.4f %.4f", m[0][2], m[1][2], m[2][2]);
|
2009-03-04 03:31:44 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
// ---------------------------------------------------------------------------
|
|
|
|
|
|
|
|
}; // namespace android
|