/*
* Copyright (C) 2007 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.
*/
#include <math.h>
#include <cutils/compiler.h>
#include <utils/String8.h>
#include <ui/Region.h>
#include "clz.h"
#include "Transform.h"
// ---------------------------------------------------------------------------
namespace android {
// ---------------------------------------------------------------------------
Transform::Transform() {
reset();
}
Transform::Transform(const Transform& other)
: mMatrix(other.mMatrix), mType(other.mType) {
}
Transform::Transform(uint32_t orientation) {
set(orientation, 0, 0);
}
Transform::~Transform() {
}
static const float EPSILON = 0.0f;
bool Transform::isZero(float f) {
return fabs(f) <= EPSILON;
}
bool Transform::absIsOne(float f) {
return isZero(fabs(f) - 1.0f);
}
Transform Transform::operator * (const Transform& rhs) const
{
if (CC_LIKELY(mType == IDENTITY))
return rhs;
Transform r(*this);
if (rhs.mType == IDENTITY)
return r;
// TODO: we could use mType to optimize the matrix multiply
const mat33& A(mMatrix);
const mat33& B(rhs.mMatrix);
mat33& D(r.mMatrix);
for (int i=0 ; i<3 ; i++) {
const float v0 = A[0][i];
const float v1 = A[1][i];
const float v2 = A[2][i];
D[0][i] = v0*B[0][0] + v1*B[0][1] + v2*B[0][2];
D[1][i] = v0*B[1][0] + v1*B[1][1] + v2*B[1][2];
D[2][i] = v0*B[2][0] + v1*B[2][1] + v2*B[2][2];
}
r.mType |= rhs.mType;
// TODO: we could recompute this value from r and rhs
r.mType &= 0xFF;
r.mType |= UNKNOWN_TYPE;
return r;
}
float const* Transform::operator [] (int i) const {
return mMatrix[i].v;
}
bool Transform::transformed() const {
return type() > TRANSLATE;
}
float Transform::tx() const {
return mMatrix[2][0];
}
float Transform::ty() const {
return mMatrix[2][1];
}
void Transform::reset() {
mType = IDENTITY;
for(int i=0 ; i<3 ; i++) {
vec3& v(mMatrix[i]);
for (int j=0 ; j<3 ; j++)
v[j] = ((i==j) ? 1.0f : 0.0f);
}
}
void Transform::set(float tx, float ty)
{
mMatrix[2][0] = tx;
mMatrix[2][1] = ty;
mMatrix[2][2] = 1.0f;
if (isZero(tx) && isZero(ty)) {
mType &= ~TRANSLATE;
} else {
mType |= TRANSLATE;
}
}
void Transform::set(float a, float b, float c, float d)
{
mat33& M(mMatrix);
M[0][0] = a; M[1][0] = b;
M[0][1] = c; M[1][1] = d;
M[0][2] = 0; M[1][2] = 0;
mType = UNKNOWN_TYPE;
}
status_t Transform::set(uint32_t flags, float w, float h)
{
if (flags & ROT_INVALID) {
// that's not allowed!
reset();
return BAD_VALUE;
}
Transform H, V, R;
if (flags & ROT_90) {
// w & h are inverted when rotating by 90 degrees
swap(w, h);
}
if (flags & FLIP_H) {
H.mType = (FLIP_H << 8) | SCALE;
H.mType |= isZero(w) ? IDENTITY : TRANSLATE;
mat33& M(H.mMatrix);
M[0][0] = -1;
M[2][0] = w;
}
if (flags & FLIP_V) {
V.mType = (FLIP_V << 8) | SCALE;
V.mType |= isZero(h) ? IDENTITY : TRANSLATE;
mat33& M(V.mMatrix);
M[1][1] = -1;
M[2][1] = h;
}
if (flags & ROT_90) {
const float original_w = h;
R.mType = (ROT_90 << 8) | ROTATE;
R.mType |= isZero(original_w) ? IDENTITY : TRANSLATE;
mat33& M(R.mMatrix);
M[0][0] = 0; M[1][0] =-1; M[2][0] = original_w;
M[0][1] = 1; M[1][1] = 0;
}
*this = (R*(H*V));
return NO_ERROR;
}
Transform::vec2 Transform::transform(const vec2& v) const {
vec2 r;
const mat33& M(mMatrix);
r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0];
r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1];
return r;
}
Transform::vec3 Transform::transform(const vec3& v) const {
vec3 r;
const mat33& M(mMatrix);
r[0] = M[0][0]*v[0] + M[1][0]*v[1] + M[2][0]*v[2];
r[1] = M[0][1]*v[0] + M[1][1]*v[1] + M[2][1]*v[2];
r[2] = M[0][2]*v[0] + M[1][2]*v[1] + M[2][2]*v[2];
return r;
}
void Transform::transform(float* point, int x, int y) const
{
vec2 v(x, y);
v = transform(v);
point[0] = v[0];
point[1] = v[1];
}
Rect Transform::makeBounds(int w, int h) const
{
return transform( Rect(w, h) );
}
Rect Transform::transform(const Rect& bounds) const
{
Rect r;
vec2 lt( bounds.left, bounds.top );
vec2 rt( bounds.right, bounds.top );
vec2 lb( bounds.left, bounds.bottom );
vec2 rb( bounds.right, bounds.bottom );
lt = transform(lt);
rt = transform(rt);
lb = transform(lb);
rb = transform(rb);
r.left = floorf(min(lt[0], rt[0], lb[0], rb[0]) + 0.5f);
r.top = floorf(min(lt[1], rt[1], lb[1], rb[1]) + 0.5f);
r.right = floorf(max(lt[0], rt[0], lb[0], rb[0]) + 0.5f);
r.bottom = floorf(max(lt[1], rt[1], lb[1], rb[1]) + 0.5f);
return r;
}
Region Transform::transform(const Region& reg) const
{
Region out;
if (CC_UNLIKELY(transformed())) {
if (CC_LIKELY(preserveRects())) {
Region::const_iterator it = reg.begin();
Region::const_iterator const end = reg.end();
while (it != end) {
out.orSelf(transform(*it++));
}
} else {
out.set(transform(reg.bounds()));
}
} else {
int xpos = floorf(tx() + 0.5f);
int ypos = floorf(ty() + 0.5f);
out = reg.translate(xpos, ypos);
}
return out;
}
uint32_t Transform::type() const
{
if (mType & UNKNOWN_TYPE) {
// recompute what this transform is
const mat33& M(mMatrix);
const float a = M[0][0];
const float b = M[1][0];
const float c = M[0][1];
const float d = M[1][1];
const float x = M[2][0];
const float y = M[2][1];
bool scale = false;
uint32_t flags = ROT_0;
if (isZero(b) && isZero(c)) {
if (a<0) flags |= FLIP_H;
if (d<0) flags |= FLIP_V;
if (!absIsOne(a) || !absIsOne(d)) {
scale = true;
}
} else if (isZero(a) && isZero(d)) {
flags |= ROT_90;
if (b>0) flags |= FLIP_V;
if (c<0) flags |= FLIP_H;
if (!absIsOne(b) || !absIsOne(c)) {
scale = true;
}
} else {
// there is a skew component and/or a non 90 degrees rotation
flags = ROT_INVALID;
}
mType = flags << 8;
if (flags & ROT_INVALID) {
mType |= UNKNOWN;
} else {
if ((flags & ROT_90) || ((flags & ROT_180) == ROT_180))
mType |= ROTATE;
if (flags & FLIP_H)
mType ^= SCALE;
if (flags & FLIP_V)
mType ^= SCALE;
if (scale)
mType |= SCALE;
}
if (!isZero(x) || !isZero(y))
mType |= TRANSLATE;
}
return mType;
}
Transform Transform::inverse() const {
// our 3x3 matrix is always of the form of a 2x2 transformation
// followed by a translation: T*M, therefore:
// (T*M)^-1 = M^-1 * T^-1
Transform result;
if (mType <= TRANSLATE) {
// 1 0 x
// 0 1 y
// 0 0 1
result = *this;
result.mMatrix[2][0] = -result.mMatrix[2][0];
result.mMatrix[2][1] = -result.mMatrix[2][1];
} else {
// a c x
// b d y
// 0 0 1
const mat33& M(mMatrix);
const float a = M[0][0];
const float b = M[1][0];
const float c = M[0][1];
const float d = M[1][1];
const float x = M[2][0];
const float y = M[2][1];
Transform R, T;
const float idet = 1.0 / (a*d - b*c);
R.mMatrix[0][0] = d*idet; R.mMatrix[0][1] = -c*idet;
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;
}
uint32_t Transform::getType() const {
return type() & 0xFF;
}
uint32_t Transform::getOrientation() const
{
return (type() >> 8) & 0xFF;
}
bool Transform::preserveRects() const
{
return (getOrientation() & ROT_INVALID) ? false : true;
}
void Transform::dump(const char* name) const
{
type(); // updates the type
String8 flags, type;
const mat33& m(mMatrix);
uint32_t orient = mType >> 8;
if (orient&ROT_INVALID) {
flags.append("ROT_INVALID ");
} 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 ");
}
if (!(mType&(SCALE|ROTATE|TRANSLATE)))
type.append("IDENTITY ");
if (mType&SCALE)
type.append("SCALE ");
if (mType&ROTATE)
type.append("ROTATE ");
if (mType&TRANSLATE)
type.append("TRANSLATE ");
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]);
}
// ---------------------------------------------------------------------------
}; // namespace android