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222 | #include "fsAffineMtx2d.h"
#include <math.h>
#include <algorithm>
#include "src/debug/fsAssert.h"
#include "fsVec2d.h"
#include "fsPoint.h"
#include "src/fsNMaths.h"
fsAffineMtx2d fsAffineMtx2d::inverseGet() const
{
fsAffineMtx2d inv;
const fsF32 det = (mMtx[0][0] * mMtx[1][1]) - (mMtx[1][0] * mMtx[0][1]);
fsAssert(det != 0.0f, "Attempting to invert a non-invertible matrix.\n");
const fsF32 invDet = 1.0f / det;
// Invert rotation + scale part (2x2)
inv.mMtx[0][0] = mMtx[1][1] * invDet; // d
inv.mMtx[0][1] = -mMtx[0][1] * invDet; // -b
inv.mMtx[1][0] = -mMtx[1][0] * invDet; // -c
inv.mMtx[1][1] = mMtx[0][0] * invDet; // a
// Invert translation
inv.mMtx[2][0] = (mMtx[1][0] * mMtx[2][1] - mMtx[1][1] * mMtx[2][0]) * invDet; // (c*ty - d*tx)
inv.mMtx[2][1] = (mMtx[0][1] * mMtx[2][0] - mMtx[0][0] * mMtx[2][1]) * invDet; // (b*tx - a*ty)
return inv;
}
fsVec2d fsAffineMtx2d::scaleGet() const
{
// From ax::Mat4::decompose method
// Scale is just the length of each axis in the matrix
fsVec2d scale;
scale.y = fsNMaths::sqrtF32(mMtx[0][0] * mMtx[0][0] + mMtx[0][1] * mMtx[0][1]);
scale.x = fsNMaths::sqrtF32(mMtx[1][0] * mMtx[1][0] + mMtx[1][1] * mMtx[1][1]);
return scale;
}
fsVec2d fsAffineMtx2d::translateGet() const
{
fsVec2d ret;
ret.x = mMtx[2][0];
ret.y = mMtx[2][1];
return ret;
}
void fsAffineMtx2d::translateSet(fsVec2d const& pTrans)
{
mMtx[2][0] = pTrans.x;
mMtx[2][1] = pTrans.y;
}
void fsAffineMtx2d::set(fsF32 p00, fsF32 p01, fsF32 p10, fsF32 p11, fsF32 p20, fsF32 p21)
{
mMtx[0][0] = p00;
mMtx[0][1] = p01;
mMtx[1][0] = p10;
mMtx[1][1] = p11;
mMtx[2][0] = p20;
mMtx[2][1] = p21;
}
void fsAffineMtx2d::set(fsS32 pRow, fsS32 pCol, fsF32 pVal)
{
fsAssert(pRow >= 0 && pRow < 2, "fsAffineMtx2d only has 2 rows.\n");
fsAssert(pCol >= 0 && pCol < 3, "fsAffineMtx2d only has 3 columns.\n");<--- Assuming that condition 'pCol<3' is not redundant<--- Assuming that condition 'pCol>=0' is not redundant
mMtx[pCol][pRow] = pVal;<--- Array index out of bounds<--- Negative array index
}
fsF32 fsAffineMtx2d::get(fsS32 pRow, fsS32 pCol) const
{
fsAssert(pRow >= 0 && pRow < 2, "fsAffineMtx2d only has 2 rows.\n");
fsAssert(pCol >= 0 && pCol < 3, "fsAffineMtx2d only has 3 columns.\n");<--- Assuming that condition 'pCol<3' is not redundant<--- Assuming that condition 'pCol>=0' is not redundant
return mMtx[pCol][pRow];<--- Array index out of bounds<--- Negative array index
}
void fsAffineMtx2d::fsVec2dTransform(fsVec2d const& pInVec2d, fsVec2d* pOutVec2d) const
{
pOutVec2d->x = (pInVec2d.x * mMtx[0][0]) + (pInVec2d.y * mMtx[1][0]) + mMtx[2][0];
pOutVec2d->y = (pInVec2d.x * mMtx[0][1]) + (pInVec2d.y * mMtx[1][1]) + mMtx[2][1];
// fsF32 c = mMtx[0][0];
// fsF32 s = mMtx[0][1];
// fsF32 c2 = mMtx[1][1];
// fsF32 s2 = -mMtx[1][0];
//
// pOutVec2d->x = (pInVec2d.x * c) - (pInVec2d.y * s2) + mMtx[2][0];
// pOutVec2d->y = (pInVec2d.x * s) + (pInVec2d.y * c2) + mMtx[2][1];
}
void fsAffineMtx2d::fsVec2dsTransform(std::vector<fsVec2d> const& pInVec2d, std::vector<fsVec2d>& pOutVec2d) const
{
fsS32 vertCount = 0;
std::for_each(pInVec2d.begin(), pInVec2d.end(),
[&](auto vert)
{
pOutVec2d[vertCount].x = (vert.x * mMtx[0][0]) + (vert.y * mMtx[1][0]) + mMtx[2][0];
pOutVec2d[vertCount++].y = (vert.x * mMtx[0][1]) + (vert.y * mMtx[1][1]) + mMtx[2][1];
});
}
void fsAffineMtx2d::fsVec2dsTransform(fsVec2d const* pInVec2d, fsVec2d* pOutVec2d, fsS32 pCount) const
{
while (pCount-- > 0)
{
pOutVec2d->x = (pInVec2d->x * mMtx[0][0]) + (pInVec2d->y * mMtx[1][0]) + mMtx[2][0];
pOutVec2d->y = (pInVec2d->x * mMtx[0][1]) + (pInVec2d->y * mMtx[1][1]) + mMtx[2][1];
// fsF32 c = mMtx[0][0];
// fsF32 s = mMtx[0][1];
// fsF32 c2 = mMtx[1][1];
// fsF32 s2 = -mMtx[1][0];
//
// pOutVec2d->x = ( pInVec2d->x * c ) - ( pInVec2d->y * s2 ) + mMtx[2][0];
// pOutVec2d->y = ( pInVec2d->x * s ) + ( pInVec2d->y * c2 ) + mMtx[2][1];
++pInVec2d;
++pOutVec2d;
}
}
fsBool fsAffineMtx2d::fsVec2DInverseTransform(fsVec2d const& pInVec2d, fsVec2d* pOutVec2d) const
{
const fsF32 det = determinantGet();
if (det == 0.0f)
{
pOutVec2d->x = 0.0f;
pOutVec2d->y = 0.0f;
return false;
}
const float invDet = 1.0f / det;
const float a = (pInVec2d.x - mMtx[2][0]) * invDet;
const float b = (pInVec2d.y - mMtx[2][1]) * invDet;
pOutVec2d->x = (a * mMtx[1][1]) - (b * mMtx[1][0]);
pOutVec2d->y = (b * mMtx[0][0]) - (a * mMtx[0][1]);
return true;
}
fsF32 fsAffineMtx2d::determinantGet() const
{
return ((mMtx[0][0] * mMtx[1][1]) - (mMtx[1][0] * mMtx[0][1]));
}
void fsAffineMtx2d::identitySet()
{
mMtx[0][0] = mMtx[1][1] = 1.0;
mMtx[1][0] = mMtx[2][0] = mMtx[0][1] = mMtx[2][1] = 0.0;
}
void fsAffineMtx2d::calculate(fsVec2d const& pTranslate, fsF32 pScaleX, fsF32 pScaleY, fsF32 pAngleRadians)
{
// Positive rotation Negative rotation
// ----------------- -----------------
// cos(a) sin(a) cos(a) -sin(a)
// -sin(a) cos(a) sin(a) cos(a)
fsF32 const sinAng = static_cast<fsF32>(sin(pAngleRadians));
fsF32 const cosAng = static_cast<fsF32>(cos(pAngleRadians));
#if defined fsINVERTED_Y_AXIS
mMtx[0][0] = cosAng * pScaleX;
mMtx[0][1] = sinAng * pScaleX;
mMtx[1][0] = -sinAng * pScaleY;
mMtx[1][1] = cosAng * pScaleY;
#else
mMtx[0][0] = cosAng * pScaleX;
mMtx[0][1] = -sinAng * pScaleX;
mMtx[1][0] = sinAng * pScaleY;
mMtx[1][1] = cosAng * pScaleY;
#endif
mMtx[2][0] = pTranslate.x;
mMtx[2][1] = pTranslate.y;
}
void fsAffineMtx2d::calculate(fsPoint const& pTranslate, fsF32 pScaleX, fsF32 pScaleY, fsF32 pAngleRadians)
{
calculate(fsVec2d(static_cast<fsF32>(pTranslate.x),
static_cast<fsF32>(pTranslate.y)),
pScaleX, pScaleY, pAngleRadians);
}
fsAffineMtx2d& fsAffineMtx2d::operator*=(fsAffineMtx2d const& pRhs)
{
fsAffineMtx2d me(*this);
mMtx[0][0] = (me.mMtx[0][0] * pRhs.mMtx[0][0]) + (me.mMtx[1][0] * pRhs.mMtx[0][1]);
mMtx[0][1] = (me.mMtx[0][1] * pRhs.mMtx[0][0]) + (me.mMtx[1][1] * pRhs.mMtx[0][1]);
mMtx[1][0] = (me.mMtx[0][0] * pRhs.mMtx[1][0]) + (me.mMtx[1][0] * pRhs.mMtx[1][1]);
mMtx[1][1] = (me.mMtx[0][1] * pRhs.mMtx[1][0]) + (me.mMtx[1][1] * pRhs.mMtx[1][1]);
mMtx[2][0] = (me.mMtx[0][0] * pRhs.mMtx[2][0]) + (me.mMtx[1][0] * pRhs.mMtx[2][1]) + me.mMtx[2][0];
mMtx[2][1] = (me.mMtx[0][1] * pRhs.mMtx[2][0]) + (me.mMtx[1][1] * pRhs.mMtx[2][1]) + me.mMtx[2][1];
return *this;
}
fsAffineMtx2d operator*(fsAffineMtx2d lhs, const fsAffineMtx2d& rhs)
{
lhs *= rhs;
return lhs;
}
fsAffineMtx2d::fsAffineMtx2d(fsVec2d const& pTranslate /*= fsVec2d(0, 0)*/, fsF32 pScaleX /*= 1.0f*/,
fsF32 pScaleY /*= 1.0f*/, fsF32 pAngleRadians /*= 0*/)
{
identitySet();
calculate(pTranslate, pScaleX, pScaleY, pAngleRadians);
}
fsAffineMtx2d::~fsAffineMtx2d()
{
}
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