📄 icematrix4x4.h
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///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
/**
* Contains code for 4x4 matrices.
* \file IceMatrix4x4.h
* \author Pierre Terdiman
* \date April, 4, 2000
*/
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Include Guard
#ifndef __ICEMATRIX4X4_H__
#define __ICEMATRIX4X4_H__
// Forward declarations
class PRS;
class PR;
#define MATRIX4X4_EPSILON (1.0e-7f)
class Matrix4x4
{
// void LUBackwardSubstitution( sdword *indx, float* b );
// void LUDecomposition( sdword* indx, float* d );
public:
//! Empty constructor.
inline_ Matrix4x4() {}
//! Constructor from 16 values
inline_ Matrix4x4( float m00, float m01, float m02, float m03,
float m10, float m11, float m12, float m13,
float m20, float m21, float m22, float m23,
float m30, float m31, float m32, float m33)
{
m[0][0] = m00; m[0][1] = m01; m[0][2] = m02; m[0][3] = m03;
m[1][0] = m10; m[1][1] = m11; m[1][2] = m12; m[1][3] = m13;
m[2][0] = m20; m[2][1] = m21; m[2][2] = m22; m[2][3] = m23;
m[3][0] = m30; m[3][1] = m31; m[3][2] = m32; m[3][3] = m33;
}
//! Copy constructor
inline_ Matrix4x4(const Matrix4x4& mat) { CopyMemory(m, &mat.m, 16*sizeof(float)); }
//! Destructor.
inline_ ~Matrix4x4() {}
//! Assign values (rotation only)
inline_ Matrix4x4& Set( float m00, float m01, float m02,
float m10, float m11, float m12,
float m20, float m21, float m22)
{
m[0][0] = m00; m[0][1] = m01; m[0][2] = m02;
m[1][0] = m10; m[1][1] = m11; m[1][2] = m12;
m[2][0] = m20; m[2][1] = m21; m[2][2] = m22;
return *this;
}
//! Assign values
inline_ Matrix4x4& Set( float m00, float m01, float m02, float m03,
float m10, float m11, float m12, float m13,
float m20, float m21, float m22, float m23,
float m30, float m31, float m32, float m33)
{
m[0][0] = m00; m[0][1] = m01; m[0][2] = m02; m[0][3] = m03;
m[1][0] = m10; m[1][1] = m11; m[1][2] = m12; m[1][3] = m13;
m[2][0] = m20; m[2][1] = m21; m[2][2] = m22; m[2][3] = m23;
m[3][0] = m30; m[3][1] = m31; m[3][2] = m32; m[3][3] = m33;
return *this;
}
//! Copy from a Matrix4x4
inline_ void Copy(const Matrix4x4& source) { CopyMemory(m, source.m, 16*sizeof(float)); }
// Row-column access
//! Returns a row.
inline_ void GetRow(const udword r, HPoint& p) const { p.x=m[r][0]; p.y=m[r][1]; p.z=m[r][2]; p.w=m[r][3]; }
//! Returns a row.
inline_ void GetRow(const udword r, Point& p) const { p.x=m[r][0]; p.y=m[r][1]; p.z=m[r][2]; }
//! Returns a row.
inline_ const HPoint& GetRow(const udword r) const { return *(const HPoint*)&m[r][0]; }
//! Returns a row.
inline_ HPoint& GetRow(const udword r) { return *(HPoint*)&m[r][0]; }
//! Sets a row.
inline_ void SetRow(const udword r, const HPoint& p) { m[r][0]=p.x; m[r][1]=p.y; m[r][2]=p.z; m[r][3]=p.w; }
//! Sets a row.
inline_ void SetRow(const udword r, const Point& p) { m[r][0]=p.x; m[r][1]=p.y; m[r][2]=p.z; m[r][3]= (r!=3) ? 0.0f : 1.0f; }
//! Returns a column.
inline_ void GetCol(const udword c, HPoint& p) const { p.x=m[0][c]; p.y=m[1][c]; p.z=m[2][c]; p.w=m[3][c]; }
//! Returns a column.
inline_ void GetCol(const udword c, Point& p) const { p.x=m[0][c]; p.y=m[1][c]; p.z=m[2][c]; }
//! Sets a column.
inline_ void SetCol(const udword c, const HPoint& p) { m[0][c]=p.x; m[1][c]=p.y; m[2][c]=p.z; m[3][c]=p.w; }
//! Sets a column.
inline_ void SetCol(const udword c, const Point& p) { m[0][c]=p.x; m[1][c]=p.y; m[2][c]=p.z; m[3][c]= (c!=3) ? 0.0f : 1.0f; }
// Translation
//! Returns the translation part of the matrix.
inline_ const HPoint& GetTrans() const { return GetRow(3); }
//! Gets the translation part of the matrix
inline_ void GetTrans(Point& p) const { p.x=m[3][0]; p.y=m[3][1]; p.z=m[3][2]; }
//! Sets the translation part of the matrix, from a Point.
inline_ void SetTrans(const Point& p) { m[3][0]=p.x; m[3][1]=p.y; m[3][2]=p.z; }
//! Sets the translation part of the matrix, from a HPoint.
inline_ void SetTrans(const HPoint& p) { m[3][0]=p.x; m[3][1]=p.y; m[3][2]=p.z; m[3][3]=p.w; }
//! Sets the translation part of the matrix, from floats.
inline_ void SetTrans(float tx, float ty, float tz) { m[3][0]=tx; m[3][1]=ty; m[3][2]=tz; }
// Scale
//! Sets the scale from a Point. The point is put on the diagonal.
inline_ void SetScale(const Point& p) { m[0][0]=p.x; m[1][1]=p.y; m[2][2]=p.z; }
//! Sets the scale from floats. Values are put on the diagonal.
inline_ void SetScale(float sx, float sy, float sz) { m[0][0]=sx; m[1][1]=sy; m[2][2]=sz; }
//! Scales from a Point. Each row is multiplied by a component.
void Scale(const Point& p)
{
m[0][0] *= p.x; m[1][0] *= p.y; m[2][0] *= p.z;
m[0][1] *= p.x; m[1][1] *= p.y; m[2][1] *= p.z;
m[0][2] *= p.x; m[1][2] *= p.y; m[2][2] *= p.z;
}
//! Scales from floats. Each row is multiplied by a value.
void Scale(float sx, float sy, float sz)
{
m[0][0] *= sx; m[1][0] *= sy; m[2][0] *= sz;
m[0][1] *= sx; m[1][1] *= sy; m[2][1] *= sz;
m[0][2] *= sx; m[1][2] *= sy; m[2][2] *= sz;
}
/*
//! Returns a row.
inline_ HPoint GetRow(const udword row) const { return mRow[row]; }
//! Sets a row.
inline_ Matrix4x4& SetRow(const udword row, const HPoint& p) { mRow[row] = p; return *this; }
//! Sets a row.
Matrix4x4& SetRow(const udword row, const Point& p)
{
m[row][0] = p.x;
m[row][1] = p.y;
m[row][2] = p.z;
m[row][3] = (row != 3) ? 0.0f : 1.0f;
return *this;
}
//! Returns a column.
HPoint GetCol(const udword col) const
{
HPoint Res;
Res.x = m[0][col];
Res.y = m[1][col];
Res.z = m[2][col];
Res.w = m[3][col];
return Res;
}
//! Sets a column.
Matrix4x4& SetCol(const udword col, const HPoint& p)
{
m[0][col] = p.x;
m[1][col] = p.y;
m[2][col] = p.z;
m[3][col] = p.w;
return *this;
}
//! Sets a column.
Matrix4x4& SetCol(const udword col, const Point& p)
{
m[0][col] = p.x;
m[1][col] = p.y;
m[2][col] = p.z;
m[3][col] = (col != 3) ? 0.0f : 1.0f;
return *this;
}
*/
//! Computes the trace. The trace is the sum of the 4 diagonal components.
inline_ float Trace() const { return m[0][0] + m[1][1] + m[2][2] + m[3][3]; }
//! Computes the trace of the upper 3x3 matrix.
inline_ float Trace3x3() const { return m[0][0] + m[1][1] + m[2][2]; }
//! Clears the matrix.
inline_ void Zero() { ZeroMemory(&m, sizeof(m)); }
//! Sets the identity matrix.
inline_ void Identity() { Zero(); m[0][0] = m[1][1] = m[2][2] = m[3][3] = 1.0f; }
//! Checks for identity
inline_ bool IsIdentity() const
{
if(IR(m[0][0])!=IEEE_1_0) return false;
if(IR(m[0][1])!=0) return false;
if(IR(m[0][2])!=0) return false;
if(IR(m[0][3])!=0) return false;
if(IR(m[1][0])!=0) return false;
if(IR(m[1][1])!=IEEE_1_0) return false;
if(IR(m[1][2])!=0) return false;
if(IR(m[1][3])!=0) return false;
if(IR(m[2][0])!=0) return false;
if(IR(m[2][1])!=0) return false;
if(IR(m[2][2])!=IEEE_1_0) return false;
if(IR(m[2][3])!=0) return false;
if(IR(m[3][0])!=0) return false;
if(IR(m[3][1])!=0) return false;
if(IR(m[3][2])!=0) return false;
if(IR(m[3][3])!=IEEE_1_0) return false;
return true;
}
//! Checks matrix validity
inline_ BOOL IsValid() const
{
for(udword j=0;j<4;j++)
{
for(udword i=0;i<4;i++)
{
if(!IsValidFloat(m[j][i])) return FALSE;
}
}
return TRUE;
}
//! Sets a rotation matrix around the X axis.
void RotX(float angle) { float Cos = cosf(angle), Sin = sinf(angle); Identity(); m[1][1] = m[2][2] = Cos; m[2][1] = -Sin; m[1][2] = Sin; }
//! Sets a rotation matrix around the Y axis.
void RotY(float angle) { float Cos = cosf(angle), Sin = sinf(angle); Identity(); m[0][0] = m[2][2] = Cos; m[2][0] = Sin; m[0][2] = -Sin; }
//! Sets a rotation matrix around the Z axis.
void RotZ(float angle) { float Cos = cosf(angle), Sin = sinf(angle); Identity(); m[0][0] = m[1][1] = Cos; m[1][0] = -Sin; m[0][1] = Sin; }
//! Makes a rotation matrix about an arbitrary axis
Matrix4x4& Rot(float angle, Point& p1, Point& p2);
//! Transposes the matrix.
void Transpose()
{
IR(m[1][0]) ^= IR(m[0][1]); IR(m[0][1]) ^= IR(m[1][0]); IR(m[1][0]) ^= IR(m[0][1]);
IR(m[2][0]) ^= IR(m[0][2]); IR(m[0][2]) ^= IR(m[2][0]); IR(m[2][0]) ^= IR(m[0][2]);
IR(m[3][0]) ^= IR(m[0][3]); IR(m[0][3]) ^= IR(m[3][0]); IR(m[3][0]) ^= IR(m[0][3]);
IR(m[1][2]) ^= IR(m[2][1]); IR(m[2][1]) ^= IR(m[1][2]); IR(m[1][2]) ^= IR(m[2][1]);
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