mat.h

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#ifndef _MAT_H
#define _MAT_H
 
#include "vec.h"
 



float radians( const float deg );
float degrees( const float rad );

struct Transform
{
    Transform (
        const float t00= 1, const float t01= 0, const float t02= 0, const float t03= 0,
        const float t10= 0, const float t11= 1, const float t12= 0, const float t13= 0,
        const float t20= 0, const float t21= 0, const float t22= 1, const float t23= 0,
        const float t30= 0, const float t31= 0, const float t32= 0, const float t33= 1 );
    
    Transform( const Vector& x, const Vector& y, const Vector& z, const Vector& w );
    Transform( const vec4& x, const vec4& y, const vec4& z, const vec4& w );
    
    Transform& column( const unsigned id, const float t0, const float t1, const float t2, const float t3 );
    vec4 column( const unsigned id ) const;
    vec4 column( const unsigned id );
    
    Transform& row( const unsigned id, const float t0, const float t1, const float t2, const float t3 );
    vec4 row( const unsigned id ) const;
    vec4 row( const unsigned id );
    
    Transform& column_major( const float matrix[16] );
    
    Transform& row_major( const float matrix[16] );
    
    Vector operator[] ( const unsigned c ) const;

    Point operator() ( const Point& p ) const;
    Vector operator() ( const Vector& v ) const;
    vec4 operator() ( const vec4& v ) const;
    
    Transform operator() ( const Transform& b ) const;
    
    Transform transpose( ) const;
    Transform inverse( ) const;
    Transform normal( ) const;  
    
    const float *data( ) const { return &m[0][0]; }
    
    float m[4][4];
};

Transform Identity( );

Transform Transpose( const Transform& m );
Transform Inverse( const Transform& m );
Transform Normal( const Transform& m );

Transform Scale( const float x, const float y, const float z );
inline Transform Scale( const float s ) { return Scale(s, s, s); }

Transform Translation( const Vector& v );
Transform Translation( const float x, const float y, const float z );

Transform RotationX( const float angle );
Transform RotationY( const float angle );
Transform RotationZ( const float angle );
Transform Rotation( const Vector& axis, const float angle );

Transform Rotation( const Vector&u, const Vector& v );

Transform Viewport( const float width, const float height );
Transform Perspective( const float fov, const float aspect, const float znear, const float zfar );
Transform Ortho( const float left, const float right, const float bottom, const float top, const float znear, const float zfar );
Transform Lookat( const Point& from, const Point& to, const Vector& up );

Transform compose_transform( const Transform& a, const Transform& b );
Transform operator* ( const Transform& a, const Transform& b );
 
#include <iostream>
 
inline std::ostream& operator<<(std::ostream& o, const Transform& t)
{
    o << t.m[0][0] << " " << t.m[0][1] << " " << t.m[0][2] << " " << t.m[0][3] << " " << std::endl;
    o << t.m[1][0] << " " << t.m[1][1] << " " << t.m[1][2] << " " << t.m[1][3] << " " << std::endl;
    o << t.m[2][0] << " " << t.m[2][1] << " " << t.m[2][2] << " " << t.m[2][3] << " " << std::endl;
    o << t.m[3][0] << " " << t.m[3][1] << " " << t.m[3][2] << " " << t.m[3][3] << " " << std::endl;
    return o;
}
 

#endif