287 lines
10 KiB
C++
287 lines
10 KiB
C++
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#ifndef __MAT3X4_H__
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#define __MAT3X4_H__
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/*
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===============================================================================
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row-major 3x4 matrix
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idMat3 m;
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idVec3 t;
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m[0][0], m[1][0], m[2][0], t[0]
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m[0][1], m[1][1], m[2][1], t[1]
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m[0][2], m[1][2], m[2][2], t[2]
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===============================================================================
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*/
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class idMat3x4 {
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public:
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void SetRotation( const idMat3 &m );
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void SetTranslation( const idVec3 &t );
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bool Compare( const idMat3x4 &a ) const; // exact compare, no epsilon
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bool Compare( const idMat3x4 &a, const float epsilon ) const; // compare with epsilon
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bool operator==( const idMat3x4 &a ) const; // exact compare, no epsilon
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bool operator!=( const idMat3x4 &a ) const; // exact compare, no epsilon
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void Identity( void );
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void Invert( void );
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void LeftMultiply( const idMat3x4 &m );
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void LeftMultiply( const idMat3 &m );
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void RightMultiply( const idMat3x4 &m );
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void RightMultiply( const idMat3 &m );
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void Transform( idVec3 &result, const idVec3 &v ) const;
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void Rotate( idVec3 &result, const idVec3 &v ) const;
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idMat3 ToMat3( void ) const;
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idVec3 ToVec3( void ) const;
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const float * ToFloatPtr( void ) const;
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float * ToFloatPtr( void );
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const char * ToString( int precision = 2 ) const;
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private:
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float mat[3*4];
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};
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ID_INLINE void idMat3x4::SetRotation( const idMat3 &m ) {
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// NOTE: idMat3 is transposed because it is column-major
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mat[0 * 4 + 0] = m[0][0];
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mat[0 * 4 + 1] = m[1][0];
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mat[0 * 4 + 2] = m[2][0];
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mat[1 * 4 + 0] = m[0][1];
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mat[1 * 4 + 1] = m[1][1];
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mat[1 * 4 + 2] = m[2][1];
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mat[2 * 4 + 0] = m[0][2];
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mat[2 * 4 + 1] = m[1][2];
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mat[2 * 4 + 2] = m[2][2];
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}
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ID_INLINE void idMat3x4::SetTranslation( const idVec3 &t ) {
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mat[0 * 4 + 3] = t[0];
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mat[1 * 4 + 3] = t[1];
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mat[2 * 4 + 3] = t[2];
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}
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ID_INLINE bool idMat3x4::Compare( const idMat3x4 &a ) const {
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int i;
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for ( i = 0; i < 12; i++ ) {
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if ( mat[i] != a.mat[i] ) {
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return false;
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}
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}
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return true;
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}
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ID_INLINE bool idMat3x4::Compare( const idMat3x4 &a, const float epsilon ) const {
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int i;
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for ( i = 0; i < 12; i++ ) {
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if ( idMath::Fabs( mat[i] - a.mat[i] ) > epsilon ) {
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return false;
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}
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}
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return true;
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}
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ID_INLINE bool idMat3x4::operator==( const idMat3x4 &a ) const {
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return Compare( a );
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}
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ID_INLINE bool idMat3x4::operator!=( const idMat3x4 &a ) const {
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return !Compare( a );
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}
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ID_INLINE void idMat3x4::Identity( void ) {
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mat[0 * 4 + 0] = 1.0f; mat[0 * 4 + 1] = 0.0f; mat[0 * 4 + 2] = 0.0f; mat[0 * 4 + 3] = 0.0f;
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mat[0 * 4 + 0] = 0.0f; mat[0 * 4 + 1] = 1.0f; mat[0 * 4 + 2] = 0.0f; mat[0 * 4 + 3] = 0.0f;
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mat[0 * 4 + 0] = 0.0f; mat[0 * 4 + 1] = 0.0f; mat[0 * 4 + 2] = 1.0f; mat[0 * 4 + 3] = 0.0f;
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}
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ID_INLINE void idMat3x4::Invert( void ) {
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float tmp[3];
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// negate inverse rotated translation part
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tmp[0] = mat[0 * 4 + 0] * mat[0 * 4 + 3] + mat[1 * 4 + 0] * mat[1 * 4 + 3] + mat[2 * 4 + 0] * mat[2 * 4 + 3];
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tmp[1] = mat[0 * 4 + 1] * mat[0 * 4 + 3] + mat[1 * 4 + 1] * mat[1 * 4 + 3] + mat[2 * 4 + 1] * mat[2 * 4 + 3];
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tmp[2] = mat[0 * 4 + 2] * mat[0 * 4 + 3] + mat[1 * 4 + 2] * mat[1 * 4 + 3] + mat[2 * 4 + 2] * mat[2 * 4 + 3];
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mat[0 * 4 + 3] = -tmp[0];
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mat[1 * 4 + 3] = -tmp[1];
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mat[2 * 4 + 3] = -tmp[2];
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// transpose rotation part
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tmp[0] = mat[0 * 4 + 1];
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mat[0 * 4 + 1] = mat[1 * 4 + 0];
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mat[1 * 4 + 0] = tmp[0];
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tmp[1] = mat[0 * 4 + 2];
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mat[0 * 4 + 2] = mat[2 * 4 + 0];
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mat[2 * 4 + 0] = tmp[1];
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tmp[2] = mat[1 * 4 + 2];
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mat[1 * 4 + 2] = mat[2 * 4 + 1];
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mat[2 * 4 + 1] = tmp[2];
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}
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ID_INLINE void idMat3x4::LeftMultiply( const idMat3x4 &m ) {
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float t0, t1;
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t0 = m.mat[0 * 4 + 0] * mat[0 * 4 + 0] + m.mat[0 * 4 + 1] * mat[1 * 4 + 0] + m.mat[0 * 4 + 2] * mat[2 * 4 + 0];
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t1 = m.mat[1 * 4 + 0] * mat[0 * 4 + 0] + m.mat[1 * 4 + 1] * mat[1 * 4 + 0] + m.mat[1 * 4 + 2] * mat[2 * 4 + 0];
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mat[2 * 4 + 0] = m.mat[2 * 4 + 0] * mat[0 * 4 + 0] + m.mat[2 * 4 + 1] * mat[1 * 4 + 0] + m.mat[2 * 4 + 2] * mat[2 * 4 + 0];
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mat[1 * 4 + 0] = t1;
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mat[0 * 4 + 0] = t0;
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t0 = m.mat[0 * 4 + 0] * mat[0 * 4 + 1] + m.mat[0 * 4 + 1] * mat[1 * 4 + 1] + m.mat[0 * 4 + 2] * mat[2 * 4 + 1];
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t1 = m.mat[1 * 4 + 0] * mat[0 * 4 + 1] + m.mat[1 * 4 + 1] * mat[1 * 4 + 1] + m.mat[1 * 4 + 2] * mat[2 * 4 + 1];
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mat[2 * 4 + 1] = m.mat[2 * 4 + 0] * mat[0 * 4 + 1] + m.mat[2 * 4 + 1] * mat[1 * 4 + 1] + m.mat[2 * 4 + 2] * mat[2 * 4 + 1];
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mat[1 * 4 + 1] = t1;
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mat[0 * 4 + 1] = t0;
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t0 = m.mat[0 * 4 + 0] * mat[0 * 4 + 2] + m.mat[0 * 4 + 1] * mat[1 * 4 + 2] + m.mat[0 * 4 + 2] * mat[2 * 4 + 2];
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t1 = m.mat[1 * 4 + 0] * mat[0 * 4 + 2] + m.mat[1 * 4 + 1] * mat[1 * 4 + 2] + m.mat[1 * 4 + 2] * mat[2 * 4 + 2];
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mat[2 * 4 + 2] = m.mat[2 * 4 + 0] * mat[0 * 4 + 2] + m.mat[2 * 4 + 1] * mat[1 * 4 + 2] + m.mat[2 * 4 + 2] * mat[2 * 4 + 2];
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mat[1 * 4 + 2] = t1;
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mat[0 * 4 + 2] = t0;
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t0 = m.mat[0 * 4 + 0] * mat[0 * 4 + 3] + m.mat[0 * 4 + 1] * mat[1 * 4 + 3] + m.mat[0 * 4 + 2] * mat[2 * 4 + 3] + m.mat[0 * 4 + 3];
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t1 = m.mat[1 * 4 + 0] * mat[0 * 4 + 3] + m.mat[1 * 4 + 1] * mat[1 * 4 + 3] + m.mat[1 * 4 + 2] * mat[2 * 4 + 3] + m.mat[1 * 4 + 3];
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mat[2 * 4 + 3] = m.mat[2 * 4 + 0] * mat[0 * 4 + 3] + m.mat[2 * 4 + 1] * mat[1 * 4 + 3] + m.mat[2 * 4 + 2] * mat[2 * 4 + 3] + m.mat[2 * 4 + 3];
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mat[1 * 4 + 3] = t1;
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mat[0 * 4 + 3] = t0;
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}
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ID_INLINE void idMat3x4::LeftMultiply( const idMat3 &m ) {
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float t0, t1;
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// NOTE: idMat3 is column-major
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t0 = m[0][0] * mat[0 * 4 + 0] + m[1][0] * mat[1 * 4 + 0] + m[2][0] * mat[2 * 4 + 0];
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t1 = m[0][1] * mat[0 * 4 + 0] + m[1][1] * mat[1 * 4 + 0] + m[2][1] * mat[2 * 4 + 0];
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mat[2 * 4 + 0] = m[0][2] * mat[0 * 4 + 0] + m[1][2] * mat[1 * 4 + 0] + m[2][2] * mat[2 * 4 + 0];
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mat[1 * 4 + 0] = t1;
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mat[0 * 4 + 0] = t0;
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t0 = m[0][0] * mat[0 * 4 + 1] + m[1][0] * mat[1 * 4 + 1] + m[2][0] * mat[2 * 4 + 1];
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t1 = m[0][1] * mat[0 * 4 + 1] + m[1][1] * mat[1 * 4 + 1] + m[2][1] * mat[2 * 4 + 1];
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mat[2 * 4 + 1] = m[0][2] * mat[0 * 4 + 1] + m[1][2] * mat[1 * 4 + 1] + m[2][2] * mat[2 * 4 + 1];
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mat[1 * 4 + 1] = t1;
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mat[0 * 4 + 1] = t0;
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t0 = m[0][0] * mat[0 * 4 + 2] + m[1][0] * mat[1 * 4 + 2] + m[2][0] * mat[2 * 4 + 2];
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t1 = m[0][1] * mat[0 * 4 + 2] + m[1][1] * mat[1 * 4 + 2] + m[2][1] * mat[2 * 4 + 2];
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mat[2 * 4 + 2] = m[0][2] * mat[0 * 4 + 2] + m[1][2] * mat[1 * 4 + 2] + m[2][2] * mat[2 * 4 + 2];
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mat[1 * 4 + 2] = t1;
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mat[0 * 4 + 2] = t0;
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t0 = m[0][0] * mat[0 * 4 + 3] + m[1][0] * mat[1 * 4 + 3] + m[2][0] * mat[2 * 4 + 3];
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t1 = m[0][1] * mat[0 * 4 + 3] + m[1][1] * mat[1 * 4 + 3] + m[2][1] * mat[2 * 4 + 3];
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mat[2 * 4 + 3] = m[0][2] * mat[0 * 4 + 3] + m[1][2] * mat[1 * 4 + 3] + m[2][2] * mat[2 * 4 + 3];
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mat[1 * 4 + 3] = t1;
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mat[0 * 4 + 3] = t0;
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}
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ID_INLINE void idMat3x4::RightMultiply( const idMat3x4 &m ) {
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float t0, t1, t2;
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t0 = mat[0 * 4 + 0] * m.mat[0 * 4 + 0] + mat[0 * 4 + 1] * m.mat[1 * 4 + 0] + mat[0 * 4 + 2] * m.mat[2 * 4 + 0];
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t1 = mat[0 * 4 + 0] * m.mat[0 * 4 + 1] + mat[0 * 4 + 1] * m.mat[1 * 4 + 1] + mat[0 * 4 + 2] * m.mat[2 * 4 + 1];
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t2 = mat[0 * 4 + 0] * m.mat[0 * 4 + 2] + mat[0 * 4 + 1] * m.mat[1 * 4 + 2] + mat[0 * 4 + 2] * m.mat[2 * 4 + 2];
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mat[0 * 4 + 3] = mat[0 * 4 + 0] * m.mat[0 * 4 + 3] + mat[0 * 4 + 1] * m.mat[1 * 4 + 3] + mat[0 * 4 + 2] * m.mat[2 * 4 + 3] + mat[0 * 4 + 3];
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mat[0 * 4 + 0] = t0;
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mat[0 * 4 + 1] = t1;
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mat[0 * 4 + 2] = t2;
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t0 = mat[1 * 4 + 0] * m.mat[0 * 4 + 0] + mat[1 * 4 + 1] * m.mat[1 * 4 + 0] + mat[1 * 4 + 2] * m.mat[2 * 4 + 0];
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t1 = mat[1 * 4 + 0] * m.mat[0 * 4 + 1] + mat[1 * 4 + 1] * m.mat[1 * 4 + 1] + mat[1 * 4 + 2] * m.mat[2 * 4 + 1];
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t2 = mat[1 * 4 + 0] * m.mat[0 * 4 + 2] + mat[1 * 4 + 1] * m.mat[1 * 4 + 2] + mat[1 * 4 + 2] * m.mat[2 * 4 + 2];
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mat[1 * 4 + 3] = mat[1 * 4 + 0] * m.mat[0 * 4 + 3] + mat[1 * 4 + 1] * m.mat[1 * 4 + 3] + mat[1 * 4 + 2] * m.mat[2 * 4 + 3] + mat[1 * 4 + 3];
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mat[1 * 4 + 0] = t0;
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mat[1 * 4 + 1] = t1;
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mat[1 * 4 + 2] = t2;
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t0 = mat[2 * 4 + 0] * m.mat[0 * 4 + 0] + mat[2 * 4 + 1] * m.mat[1 * 4 + 0] + mat[2 * 4 + 2] * m.mat[2 * 4 + 0];
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t1 = mat[2 * 4 + 0] * m.mat[0 * 4 + 1] + mat[2 * 4 + 1] * m.mat[1 * 4 + 1] + mat[2 * 4 + 2] * m.mat[2 * 4 + 1];
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t2 = mat[2 * 4 + 0] * m.mat[0 * 4 + 2] + mat[2 * 4 + 1] * m.mat[1 * 4 + 2] + mat[2 * 4 + 2] * m.mat[2 * 4 + 2];
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mat[2 * 4 + 3] = mat[2 * 4 + 0] * m.mat[0 * 4 + 3] + mat[2 * 4 + 1] * m.mat[1 * 4 + 3] + mat[2 * 4 + 2] * m.mat[2 * 4 + 3] + mat[2 * 4 + 3];
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mat[2 * 4 + 0] = t0;
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mat[2 * 4 + 1] = t1;
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mat[2 * 4 + 2] = t2;
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}
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ID_INLINE void idMat3x4::RightMultiply( const idMat3 &m ) {
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float t0, t1, t2;
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// NOTE: idMat3 is column-major
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t0 = mat[0 * 4 + 0] * m[0][0] + mat[0 * 4 + 1] * m[0][1] + mat[0 * 4 + 2] * m[0][2];
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t1 = mat[0 * 4 + 0] * m[1][0] + mat[0 * 4 + 1] * m[1][1] + mat[0 * 4 + 2] * m[1][2];
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t2 = mat[0 * 4 + 0] * m[2][0] + mat[0 * 4 + 1] * m[2][1] + mat[0 * 4 + 2] * m[2][2];
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mat[0 * 4 + 0] = t0;
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mat[0 * 4 + 1] = t1;
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mat[0 * 4 + 2] = t2;
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t0 = mat[1 * 4 + 0] * m[0][0] + mat[1 * 4 + 1] * m[0][1] + mat[1 * 4 + 2] * m[0][2];
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t1 = mat[1 * 4 + 0] * m[1][0] + mat[1 * 4 + 1] * m[1][1] + mat[1 * 4 + 2] * m[1][2];
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t2 = mat[1 * 4 + 0] * m[2][0] + mat[1 * 4 + 1] * m[2][1] + mat[1 * 4 + 2] * m[2][2];
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mat[1 * 4 + 0] = t0;
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mat[1 * 4 + 1] = t1;
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mat[1 * 4 + 2] = t2;
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t0 = mat[2 * 4 + 0] * m[0][0] + mat[2 * 4 + 1] * m[0][1] + mat[2 * 4 + 2] * m[0][2];
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t1 = mat[2 * 4 + 0] * m[1][0] + mat[2 * 4 + 1] * m[1][1] + mat[2 * 4 + 2] * m[1][2];
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t2 = mat[2 * 4 + 0] * m[2][0] + mat[2 * 4 + 1] * m[2][1] + mat[2 * 4 + 2] * m[2][2];
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mat[2 * 4 + 0] = t0;
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mat[2 * 4 + 1] = t1;
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mat[2 * 4 + 2] = t2;
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}
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ID_INLINE void idMat3x4::Transform( idVec3 &result, const idVec3 &v ) const {
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result.x = mat[0 * 4 + 0] * v.x + mat[0 * 4 + 1] * v.y + mat[0 * 4 + 2] * v.z + mat[0 * 4 + 3];
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result.y = mat[1 * 4 + 0] * v.x + mat[1 * 4 + 1] * v.y + mat[1 * 4 + 2] * v.z + mat[1 * 4 + 3];
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result.z = mat[2 * 4 + 0] * v.x + mat[2 * 4 + 1] * v.y + mat[2 * 4 + 2] * v.z + mat[2 * 4 + 3];
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}
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ID_INLINE void idMat3x4::Rotate( idVec3 &result, const idVec3 &v ) const {
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result.x = mat[0 * 4 + 0] * v.x + mat[0 * 4 + 1] * v.y + mat[0 * 4 + 2] * v.z;
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result.y = mat[1 * 4 + 0] * v.x + mat[1 * 4 + 1] * v.y + mat[1 * 4 + 2] * v.z;
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result.z = mat[2 * 4 + 0] * v.x + mat[2 * 4 + 1] * v.y + mat[2 * 4 + 2] * v.z;
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}
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ID_INLINE idMat3 idMat3x4::ToMat3( void ) const {
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return idMat3( mat[0 * 4 + 0], mat[1 * 4 + 0], mat[2 * 4 + 0],
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mat[0 * 4 + 1], mat[1 * 4 + 1], mat[2 * 4 + 1],
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mat[0 * 4 + 2], mat[1 * 4 + 2], mat[2 * 4 + 2] );
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}
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ID_INLINE idVec3 idMat3x4::ToVec3( void ) const {
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return idVec3( mat[0 * 4 + 3], mat[1 * 4 + 3], mat[2 * 4 + 3] );
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}
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ID_INLINE const float *idMat3x4::ToFloatPtr( void ) const {
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return mat;
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}
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ID_INLINE float *idMat3x4::ToFloatPtr( void ) {
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return mat;
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}
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#endif /* !__MAT3X4_H__ */
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