mozilla
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gecko-dev
зеркало из https://github.com/mozilla/gecko-dev.git
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gecko-dev/gfx/2d/Matrix.cpp

327 строки
10 KiB
C++
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/* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 2 -*-
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
#include "Matrix.h"
#include "Quaternion.h"
#include "Tools.h"
#include <algorithm>
#include <ostream>
#include <math.h>
#include "mozilla/FloatingPoint.h" // for UnspecifiedNaN
using namespace std;
namespace mozilla {
namespace gfx {
std::ostream&
operator<<(std::ostream& aStream, const Matrix& aMatrix)
{
return aStream << "[ " << aMatrix._11
<< " " << aMatrix._12
<< "; " << aMatrix._21
<< " " << aMatrix._22
<< "; " << aMatrix._31
<< " " << aMatrix._32
<< "; ]";
}
std::ostream&
operator<<(std::ostream& aStream, const Matrix4x4& aMatrix)
{
const Float *f = &aMatrix._11;
aStream << "[ " << f[0] << " " << f[1] << " " << f[2] << " " << f[3] << " ;" << std::endl; f += 4;
aStream << " " << f[0] << " " << f[1] << " " << f[2] << " " << f[3] << " ;" << std::endl; f += 4;
aStream << " " << f[0] << " " << f[1] << " " << f[2] << " " << f[3] << " ;" << std::endl; f += 4;
aStream << " " << f[0] << " " << f[1] << " " << f[2] << " " << f[3] << " ]" << std::endl;
return aStream;
}
Matrix
Matrix::Rotation(Float aAngle)
{
Matrix newMatrix;
Float s = sin(aAngle);
Float c = cos(aAngle);
newMatrix._11 = c;
newMatrix._12 = s;
newMatrix._21 = -s;
newMatrix._22 = c;
return newMatrix;
}
Rect
Matrix::TransformBounds(const Rect &aRect) const
{
int i;
Point quad[4];
Float min_x, max_x;
Float min_y, max_y;
quad[0] = *this * aRect.TopLeft();
quad[1] = *this * aRect.TopRight();
quad[2] = *this * aRect.BottomLeft();
quad[3] = *this * aRect.BottomRight();
min_x = max_x = quad[0].x;
min_y = max_y = quad[0].y;
for (i = 1; i < 4; i++) {
if (quad[i].x < min_x)
min_x = quad[i].x;
if (quad[i].x > max_x)
max_x = quad[i].x;
if (quad[i].y < min_y)
min_y = quad[i].y;
if (quad[i].y > max_y)
max_y = quad[i].y;
}
return Rect(min_x, min_y, max_x - min_x, max_y - min_y);
}
Matrix&
Matrix::NudgeToIntegers()
{
NudgeToInteger(&_11);
NudgeToInteger(&_12);
NudgeToInteger(&_21);
NudgeToInteger(&_22);
NudgeToInteger(&_31);
NudgeToInteger(&_32);
return *this;
}
Rect
Matrix4x4::TransformBounds(const Rect& aRect) const
{
Point quad[4];
Float min_x, max_x;
Float min_y, max_y;
quad[0] = *this * aRect.TopLeft();
quad[1] = *this * aRect.TopRight();
quad[2] = *this * aRect.BottomLeft();
quad[3] = *this * aRect.BottomRight();
min_x = max_x = quad[0].x;
min_y = max_y = quad[0].y;
for (int i = 1; i < 4; i++) {
if (quad[i].x < min_x) {
min_x = quad[i].x;
}
if (quad[i].x > max_x) {
max_x = quad[i].x;
}
if (quad[i].y < min_y) {
min_y = quad[i].y;
}
if (quad[i].y > max_y) {
max_y = quad[i].y;
}
}
return Rect(min_x, min_y, max_x - min_x, max_y - min_y);
}
Point4D ComputePerspectivePlaneIntercept(const Point4D& aFirst,
const Point4D& aSecond)
{
// This function will always return a point with a w value of 0.
// The X, Y, and Z components will point towards an infinite vanishing
// point.
// We want to interpolate aFirst and aSecond to find the point intersecting
// with the w=0 plane.
// Since we know what we want the w component to be, we can rearrange the
// interpolation equation and solve for t.
float t = -aFirst.w / (aSecond.w - aFirst.w);
// Use t to find the remainder of the components
return aFirst + (aSecond - aFirst) * t;
}
Rect Matrix4x4::ProjectRectBounds(const Rect& aRect, const Rect &aClip) const
{
// This function must never return std::numeric_limits<Float>::max() or any
// other arbitrary large value in place of inifinity. This often occurs when
// aRect is an inversed projection matrix or when aRect is transformed to be
// partly behind and in front of the camera (w=0 plane in homogenous
// coordinates) - See Bug 1035611
// Some call-sites will call RoundGfxRectToAppRect which clips both the
// extents and dimensions of the rect to be bounded by nscoord_MAX.
// If we return a Rect that, when converted to nscoords, has a width or height
// greater than nscoord_MAX, RoundGfxRectToAppRect will clip the overflow
// off both the min and max end of the rect after clipping the extents of the
// rect, resulting in a translation of the rect towards the infinite end.
// The bounds returned by ProjectRectBounds are expected to be clipped only on
// the edges beyond the bounds of the coordinate system; otherwise, the
// clipped bounding box would be smaller than the correct one and result
// bugs such as incorrect culling (eg. Bug 1073056)
// To address this without requiring all code to work in homogenous
// coordinates or interpret infinite values correctly, a specialized
// clipping function is integrated into ProjectRectBounds.
// Callers should pass an aClip value that represents the extents to clip
// the result to, in the same coordinate system as aRect.
Point4D points[4];
points[0] = ProjectPoint(aRect.TopLeft());
points[1] = ProjectPoint(aRect.TopRight());
points[2] = ProjectPoint(aRect.BottomRight());
points[3] = ProjectPoint(aRect.BottomLeft());
Float min_x = std::numeric_limits<Float>::max();
Float min_y = std::numeric_limits<Float>::max();
Float max_x = -std::numeric_limits<Float>::max();
Float max_y = -std::numeric_limits<Float>::max();
for (int i=0; i<4; i++) {
// Only use points that exist above the w=0 plane
if (points[i].HasPositiveWCoord()) {
Point point2d = aClip.ClampPoint(points[i].As2DPoint());
min_x = std::min<Float>(point2d.x, min_x);
max_x = std::max<Float>(point2d.x, max_x);
min_y = std::min<Float>(point2d.y, min_y);
max_y = std::max<Float>(point2d.y, max_y);
}
int next = (i == 3) ? 0 : i + 1;
if (points[i].HasPositiveWCoord() != points[next].HasPositiveWCoord()) {
// If the line between two points crosses the w=0 plane, then interpolate
// to find the point of intersection with the w=0 plane and use that
// instead.
Point4D intercept = ComputePerspectivePlaneIntercept(points[i], points[next]);
// Since intercept.w will always be 0 here, we interpret x,y,z as a
// direction towards an infinite vanishing point.
if (intercept.x < 0.0f) {
min_x = aClip.x;
} else if (intercept.x > 0.0f) {
max_x = aClip.XMost();
}
if (intercept.y < 0.0f) {
min_y = aClip.y;
} else if (intercept.y > 0.0f) {
max_y = aClip.YMost();
}
}
}
if (max_x < min_x || max_y < min_y) {
return Rect(0, 0, 0, 0);
}
return Rect(min_x, min_y, max_x - min_x, max_y - min_y);
}
bool
Matrix4x4::Invert()
{
Float det = Determinant();
if (!det) {
return false;
}
Matrix4x4 result;
result._11 = _23 * _34 * _42 - _24 * _33 * _42 + _24 * _32 * _43 - _22 * _34 * _43 - _23 * _32 * _44 + _22 * _33 * _44;
result._12 = _14 * _33 * _42 - _13 * _34 * _42 - _14 * _32 * _43 + _12 * _34 * _43 + _13 * _32 * _44 - _12 * _33 * _44;
result._13 = _13 * _24 * _42 - _14 * _23 * _42 + _14 * _22 * _43 - _12 * _24 * _43 - _13 * _22 * _44 + _12 * _23 * _44;
result._14 = _14 * _23 * _32 - _13 * _24 * _32 - _14 * _22 * _33 + _12 * _24 * _33 + _13 * _22 * _34 - _12 * _23 * _34;
result._21 = _24 * _33 * _41 - _23 * _34 * _41 - _24 * _31 * _43 + _21 * _34 * _43 + _23 * _31 * _44 - _21 * _33 * _44;
result._22 = _13 * _34 * _41 - _14 * _33 * _41 + _14 * _31 * _43 - _11 * _34 * _43 - _13 * _31 * _44 + _11 * _33 * _44;
result._23 = _14 * _23 * _41 - _13 * _24 * _41 - _14 * _21 * _43 + _11 * _24 * _43 + _13 * _21 * _44 - _11 * _23 * _44;
result._24 = _13 * _24 * _31 - _14 * _23 * _31 + _14 * _21 * _33 - _11 * _24 * _33 - _13 * _21 * _34 + _11 * _23 * _34;
result._31 = _22 * _34 * _41 - _24 * _32 * _41 + _24 * _31 * _42 - _21 * _34 * _42 - _22 * _31 * _44 + _21 * _32 * _44;
result._32 = _14 * _32 * _41 - _12 * _34 * _41 - _14 * _31 * _42 + _11 * _34 * _42 + _12 * _31 * _44 - _11 * _32 * _44;
result._33 = _12 * _24 * _41 - _14 * _22 * _41 + _14 * _21 * _42 - _11 * _24 * _42 - _12 * _21 * _44 + _11 * _22 * _44;
result._34 = _14 * _22 * _31 - _12 * _24 * _31 - _14 * _21 * _32 + _11 * _24 * _32 + _12 * _21 * _34 - _11 * _22 * _34;
result._41 = _23 * _32 * _41 - _22 * _33 * _41 - _23 * _31 * _42 + _21 * _33 * _42 + _22 * _31 * _43 - _21 * _32 * _43;
result._42 = _12 * _33 * _41 - _13 * _32 * _41 + _13 * _31 * _42 - _11 * _33 * _42 - _12 * _31 * _43 + _11 * _32 * _43;
result._43 = _13 * _22 * _41 - _12 * _23 * _41 - _13 * _21 * _42 + _11 * _23 * _42 + _12 * _21 * _43 - _11 * _22 * _43;
result._44 = _12 * _23 * _31 - _13 * _22 * _31 + _13 * _21 * _32 - _11 * _23 * _32 - _12 * _21 * _33 + _11 * _22 * _33;
result._11 /= det;
result._12 /= det;
result._13 /= det;
result._14 /= det;
result._21 /= det;
result._22 /= det;
result._23 /= det;
result._24 /= det;
result._31 /= det;
result._32 /= det;
result._33 /= det;
result._34 /= det;
result._41 /= det;
result._42 /= det;
result._43 /= det;
result._44 /= det;
*this = result;
return true;
}
void
Matrix4x4::SetNAN()
{
_11 = UnspecifiedNaN<Float>();
_21 = UnspecifiedNaN<Float>();
_31 = UnspecifiedNaN<Float>();
_41 = UnspecifiedNaN<Float>();
_12 = UnspecifiedNaN<Float>();
_22 = UnspecifiedNaN<Float>();
_32 = UnspecifiedNaN<Float>();
_42 = UnspecifiedNaN<Float>();
_13 = UnspecifiedNaN<Float>();
_23 = UnspecifiedNaN<Float>();
_33 = UnspecifiedNaN<Float>();
_43 = UnspecifiedNaN<Float>();
_14 = UnspecifiedNaN<Float>();
_24 = UnspecifiedNaN<Float>();
_34 = UnspecifiedNaN<Float>();
_44 = UnspecifiedNaN<Float>();
}
void
Matrix4x4::SetRotationFromQuaternion(const Quaternion& q)
{
const Float x2 = q.x + q.x, y2 = q.y + q.y, z2 = q.z + q.z;
const Float xx = q.x * x2, xy = q.x * y2, xz = q.x * z2;
const Float yy = q.y * y2, yz = q.y * z2, zz = q.z * z2;
const Float wx = q.w * x2, wy = q.w * y2, wz = q.w * z2;
_11 = 1.0f - (yy + zz);
_21 = xy + wz;
_31 = xz - wy;
_41 = 0.0f;
_12 = xy - wz;
_22 = 1.0f - (xx + zz);
_32 = yz + wx;
_42 = 0.0f;
_13 = xz + wy;
_23 = yz - wx;
_33 = 1.0f - (xx + yy);
_43 = 0.0f;
_14 = _42 = _43 = 0.0f;
_44 = 1.0f;
}
}
}
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