529 lines
19 KiB
Plaintext
529 lines
19 KiB
Plaintext
// Copyright (C) 2010, Guy Barrand. All rights reserved.
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// See the file tools.license for terms.
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#ifndef tools_mat4
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#define tools_mat4
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#include "mat"
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namespace tools {
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template <class T>
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class mat4 : public mat<T,4> {
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typedef mat<T,4> parent;
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typedef mat<T,4> pr;
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public:
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mat4():parent() {}
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mat4(const mat<T,4>& a_from):parent(a_from){}
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virtual ~mat4() {}
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public:
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mat4(const mat4& a_from):parent(a_from){}
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mat4& operator=(const mat4& a_from){
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parent::operator=(a_from);
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return *this;
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}
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public:
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mat4(const T& a_00,const T& a_01,const T& a_02,const T& a_03, //first row
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const T& a_10,const T& a_11,const T& a_12,const T& a_13, //second row
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const T& a_20,const T& a_21,const T& a_22,const T& a_23, //third row
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const T& a_30,const T& a_31,const T& a_32,const T& a_33) //fourth row
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{
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set_matrix(a_00,a_01,a_02,a_03,
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a_10,a_11,a_12,a_13,
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a_20,a_21,a_22,a_23,
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a_30,a_31,a_32,a_33);
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}
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public:
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void set_matrix(const mat4<T>& a_m) {parent::set_matrix(a_m);}
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void set_matrix(
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const T& a_00,const T& a_01,const T& a_02,const T& a_03, //1 row
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const T& a_10,const T& a_11,const T& a_12,const T& a_13, //2 row
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const T& a_20,const T& a_21,const T& a_22,const T& a_23, //3 row
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const T& a_30,const T& a_31,const T& a_32,const T& a_33) //4 row
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{
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//a_<R><C>
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//pr::m_vec[R + C * 4];
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pr::m_vec[0] = a_00;pr::m_vec[4] = a_01;pr::m_vec[ 8] = a_02;pr::m_vec[12] = a_03;
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pr::m_vec[1] = a_10;pr::m_vec[5] = a_11;pr::m_vec[ 9] = a_12;pr::m_vec[13] = a_13;
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pr::m_vec[2] = a_20;pr::m_vec[6] = a_21;pr::m_vec[10] = a_22;pr::m_vec[14] = a_23;
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pr::m_vec[3] = a_30;pr::m_vec[7] = a_31;pr::m_vec[11] = a_32;pr::m_vec[15] = a_33;
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}
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void set_scale(const T& a_s) {_set_scale(a_s,a_s,a_s,pr::m_vec);}
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void set_scale(const T& a_1,const T& a_2,const T& a_3) {_set_scale(a_1,a_2,a_3,pr::m_vec);}
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void set_translate(const T& a_x,const T& a_y,const T& a_z) {_set_translate(a_x,a_y,a_z,pr::m_vec);}
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void set_rotate(const T& a_x,const T& a_y,const T& a_z,const T& a_angle,T(*a_sin)(T),T(*a_cos)(T)) {
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_set_rotate(a_x,a_y,a_z,a_angle,pr::m_vec,a_sin,a_cos);
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}
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void set_ortho(const T& a_l,const T& a_r, //left,right
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const T& a_b,const T& a_t, //bottom,top
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const T& a_n,const T& a_f) { //znear,zfar
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// from man glOrtho.
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T tx = -(a_r+a_l)/(a_r-a_l);
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T ty = -(a_t+a_b)/(a_t-a_b);
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T tz = -(a_f+a_n)/(a_f-a_n);
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T a_00,a_01,a_02,a_03;
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T a_10,a_11,a_12,a_13;
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T a_20,a_21,a_22,a_23;
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T a_30,a_31,a_32,a_33;
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a_00 = 2/(a_r-a_l);a_01 = 0;a_02 = 0;a_03 = tx;
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a_10 = 0;a_11 = 2/(a_t-a_b);a_12 = 0;a_13 = ty;
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a_20 = 0;a_21 = 0;a_22 = -2/(a_f-a_n);a_23 = tz;
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a_30 = 0;a_31 = 0;a_32 = 0;a_33 = 1;
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set_matrix(a_00,a_01,a_02,a_03, //1 row
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a_10,a_11,a_12,a_13, //2 row
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a_20,a_21,a_22,a_23, //3 row
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a_30,a_31,a_32,a_33); //4 row
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//NOTE : Z(x,y, z,1) = -2z/(f-n)+tz = [-2z-f-n]/(f-n)
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// W(x,y, z,1) = 1 -> Z/W = Z
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// Z(x,y,-n,1) = -1
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// Z(x,y,-f,1) = 1
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// Z(x,y,-(f+n)/2,1) = 0
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// X(x,0, z,1) = 2x/(r-l)+tx = [2x-r-l]/(r-l)
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// X(r,0, z,1) = 1
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// the view direction is then (0,0,1) in the final projection.
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}
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void set_frustum(const T& a_l,const T& a_r, //left,right
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const T& a_b,const T& a_t, //bottom,top
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const T& a_n,const T& a_f) { //znear,zfar
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// from man glFrustum.
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T A = (a_r+a_l)/(a_r-a_l);
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T B = (a_t+a_b)/(a_t-a_b);
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T C = -(a_f+a_n)/(a_f-a_n);
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T D = -(2*a_f*a_n)/(a_f-a_n);
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T a_00,a_01,a_02,a_03;
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T a_10,a_11,a_12,a_13;
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T a_20,a_21,a_22,a_23;
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T a_30,a_31,a_32,a_33;
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a_00 = (2*a_n)/(a_r-a_l);a_01 = 0;a_02 = A;a_03 = 0;
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a_10 = 0;a_11 = (2*a_n)/(a_t-a_b);a_12 = B;a_13 = 0;
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a_20 = 0;a_21 = 0;a_22 = C;a_23 = D;
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a_30 = 0;a_31 = 0;a_32 = -1;a_33 = 0;
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set_matrix(a_00,a_01,a_02,a_03, //1 row
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a_10,a_11,a_12,a_13, //2 row
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a_20,a_21,a_22,a_23, //3 row
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a_30,a_31,a_32,a_33); //4 row
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//NOTE : Z(x,y, z,1) = C*z+D = -[(f+n)*z+2*f*n]/(f-n)
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// Z(x,y,-n,1) = -[-fn-nn+2fn]/(f-n) = -[fn-nn]/(f-n) = -n
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// W(x,y,-n,1) = n
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// -> Z/W(x,y,-n,1) = -1
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// Z(x,y,-2fn/(f+n),1) = 0
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// -> Z/W = 0
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// Z(x,y,-f,1) = -[-ff-fn+2fn]/(f-n) = -[fn-ff]/(f-n) = f
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// W(x,y,-f,1) = f
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// -> Z/W(x,y,-f,1) = 1
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// X(x,0, z,1) = 2nx/(r-l)+z(r+l)/(r-l) = [2nx+zr+zl]/(r-l)
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// X(r,0,-n,1) = [nr-nl]/(r-l) = n
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// W(r,0,-n,1) = n
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// -> X/W(r,0,-n,1) = 1
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// X(l,0,-n,1) = (2nl-n(r+l))/(r-l) = -n
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// W(l,0,-n,1) = n
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// -> X/W(l,0,-n,1) = -1
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// lrbt corners are in plane z=-1 at xy=+/-1.
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// eye ?
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// eye before ? (0,0,z,1) -> (zA,zB,zC+D,-z) /W -> (-A,-B,-(C+D/z),1)
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// z=0 -> (0,0,D=-2fn(f-n),0)
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}
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void get_translate(T& a_x,T& a_y,T& a_z) const {
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a_x = pr::m_vec[12];
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a_y = pr::m_vec[13];
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a_z = pr::m_vec[14];
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}
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void no_translate() {
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pr::m_vec[12] = 0;
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pr::m_vec[13] = 0;
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pr::m_vec[14] = 0;
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}
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public:
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void mul_4(T& a_x,T& a_y,T& a_z,T& a_p) const {
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// a_[x,y,z,p] = this * a_[x,y,z,p]
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//pr::m_vec[R + C * 4];
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//pr::m_vec[0]= 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
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//pr::m_vec[1]= 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
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//pr::m_vec[2]= 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
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//pr::m_vec[3]= 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
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T x = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z+pr::m_vec[12]*a_p;
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T y = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z+pr::m_vec[13]*a_p;
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T z = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z+pr::m_vec[14]*a_p;
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T p = pr::m_vec[3]*a_x+pr::m_vec[7]*a_y+pr::m_vec[11]*a_z+pr::m_vec[15]*a_p;
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a_x = x;
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a_y = y;
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a_z = z;
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a_p = p;
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}
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void mul_4_opt(T& a_x,T& a_y,T& a_z,T& a_p,T a_tmp[4]) const {
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// a_[x,y,z,p] = this * a_[x,y,z,p]
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//pr::m_vec[R + C * 4];
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//pr::m_vec[0]= 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
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//pr::m_vec[1]= 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
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//pr::m_vec[2]= 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
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//pr::m_vec[3]= 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
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a_tmp[0] = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z+pr::m_vec[12]*a_p;
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a_tmp[1] = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z+pr::m_vec[13]*a_p;
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a_tmp[2] = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z+pr::m_vec[14]*a_p;
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a_tmp[3] = pr::m_vec[3]*a_x+pr::m_vec[7]*a_y+pr::m_vec[11]*a_z+pr::m_vec[15]*a_p;
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a_x = a_tmp[0];
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a_y = a_tmp[1];
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a_z = a_tmp[2];
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a_p = a_tmp[3];
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}
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void mul_3(T& a_x,T& a_y,T& a_z) const {
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// a_[x,y,z] = this * a_[x,y,z]
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//pr::m_vec[R + C * 4];
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//pr::m_vec[0]= 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
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//pr::m_vec[1]= 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
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//pr::m_vec[2]= 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
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//pr::m_vec[3]= 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
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T x = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z+pr::m_vec[12];
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T y = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z+pr::m_vec[13];
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T z = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z+pr::m_vec[14];
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a_x = x;
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a_y = y;
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a_z = z;
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}
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void mul_3_opt(T& a_x,T& a_y,T& a_z,T a_tmp[3]) const {
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// a_[x,y,z] = this * a_[x,y,z]
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//pr::m_vec[R + C * 4];
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//pr::m_vec[0]= 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
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//pr::m_vec[1]= 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
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//pr::m_vec[2]= 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
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//pr::m_vec[3]= 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
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a_tmp[0] = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z+pr::m_vec[12];
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a_tmp[1] = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z+pr::m_vec[13];
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a_tmp[2] = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z+pr::m_vec[14];
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a_x = a_tmp[0];
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a_y = a_tmp[1];
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a_z = a_tmp[2];
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}
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void mul_2(T& a_x,T& a_y) const {
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// a_[x,y] = this * a_[x,y]
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//pr::m_vec[R + C * 4];
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//pr::m_vec[0]= 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
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//pr::m_vec[1]= 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
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//pr::m_vec[2]= 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
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//pr::m_vec[3]= 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
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T x = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[12];
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T y = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[13];
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a_x = x;
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a_y = y;
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}
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void mul_dir_3(T& a_x,T& a_y,T& a_z) const {
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// used to multiply normals.
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// a_[x,y,z] = rot_part(this) * a_[x,y,z]
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T x = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z;
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T y = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z;
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T z = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z;
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a_x = x;
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a_y = y;
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a_z = z;
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}
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void mul_dir_3_opt(T& a_x,T& a_y,T& a_z,T a_tmp[3]) const {
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// used to multiply normals.
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// a_[x,y,z] = rot_part(this) * a_[x,y,z]
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a_tmp[0] = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z;
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a_tmp[1] = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z;
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a_tmp[2] = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z;
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a_x = a_tmp[0];
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a_y = a_tmp[1];
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a_z = a_tmp[2];
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}
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void mul_trans_3(T& a_x,T& a_y,T& a_z) const {
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// used in sg::healpix.
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// a_[x,y,z] = trans_part(this) * a_[x,y,z]
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a_x += pr::m_vec[12];
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a_y += pr::m_vec[13];
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a_z += pr::m_vec[14];
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}
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template <class VEC>
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void mul_dir_3(VEC& a_dir) const {mul_dir_3(a_dir[0],a_dir[1],a_dir[2]);}
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void mul_scale(const T& a_sx,const T& a_sy,const T& a_sz) {
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// this = this * mat4_scale(a_s[x,y,z]
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//pr::m_vec[R + C * 4];
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//pr::m_vec[0]= 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
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//pr::m_vec[1]= 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
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//pr::m_vec[2]= 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
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//pr::m_vec[3]= 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
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pr::m_vec[0] *= a_sx;
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pr::m_vec[1] *= a_sx;
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pr::m_vec[2] *= a_sx;
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pr::m_vec[3] *= a_sx;
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pr::m_vec[4] *= a_sy;
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pr::m_vec[5] *= a_sy;
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pr::m_vec[6] *= a_sy;
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pr::m_vec[7] *= a_sy;
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pr::m_vec[ 8] *= a_sz;
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pr::m_vec[ 9] *= a_sz;
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pr::m_vec[10] *= a_sz;
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pr::m_vec[11] *= a_sz;
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}
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void mul_scale(const T& a_s) {
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pr::m_vec[0] *= a_s;
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pr::m_vec[1] *= a_s;
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pr::m_vec[2] *= a_s;
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pr::m_vec[3] *= a_s;
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pr::m_vec[4] *= a_s;
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pr::m_vec[5] *= a_s;
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pr::m_vec[6] *= a_s;
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pr::m_vec[7] *= a_s;
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pr::m_vec[ 8] *= a_s;
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pr::m_vec[ 9] *= a_s;
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pr::m_vec[10] *= a_s;
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pr::m_vec[11] *= a_s;
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}
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void mul_translate(const T& a_x,const T& a_y,const T& a_z) {
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pr::m_vec[12] = pr::m_vec[0]*a_x+pr::m_vec[4]*a_y+pr::m_vec[ 8]*a_z+pr::m_vec[12];
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|
pr::m_vec[13] = pr::m_vec[1]*a_x+pr::m_vec[5]*a_y+pr::m_vec[ 9]*a_z+pr::m_vec[13];
|
|
pr::m_vec[14] = pr::m_vec[2]*a_x+pr::m_vec[6]*a_y+pr::m_vec[10]*a_z+pr::m_vec[14];
|
|
pr::m_vec[15] = pr::m_vec[3]*a_x+pr::m_vec[7]*a_y+pr::m_vec[11]*a_z+pr::m_vec[15];
|
|
}
|
|
|
|
void mul_rotate(const T& a_x,const T& a_y,const T& a_z,const T& a_angle,T(*a_sin)(T),T(*a_cos)(T)) {
|
|
T rot[16];
|
|
_set_rotate(a_x,a_y,a_z,a_angle,rot,a_sin,a_cos);
|
|
parent::_mul_mtx(rot);
|
|
}
|
|
|
|
void left_mul_rotate(const T& a_x,const T& a_y,const T& a_z,const T& a_angle,T(*a_sin)(T),T(*a_cos)(T)) {
|
|
T _m[16];
|
|
_set_rotate(a_x,a_y,a_z,a_angle,_m,a_sin,a_cos);
|
|
parent::_left_mul_mtx(_m);
|
|
}
|
|
|
|
void left_mul_scale(const T& a_x,const T& a_y,const T& a_z) {
|
|
T _m[16];
|
|
_set_scale(a_x,a_y,a_z,_m);
|
|
parent::_left_mul_mtx(_m);
|
|
}
|
|
|
|
void left_mul_translate(const T& a_x,const T& a_y,const T& a_z) {
|
|
T _m[16];
|
|
_set_translate(a_x,a_y,a_z,_m);
|
|
parent::_left_mul_mtx(_m);
|
|
}
|
|
|
|
void v00(const T& a_value){pr::m_vec[0+0*4] = a_value;}
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|
void v10(const T& a_value){pr::m_vec[1+0*4] = a_value;}
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|
void v20(const T& a_value){pr::m_vec[2+0*4] = a_value;}
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|
void v30(const T& a_value){pr::m_vec[3+0*4] = a_value;}
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|
|
|
void v01(const T& a_value){pr::m_vec[0+1*4] = a_value;}
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|
void v11(const T& a_value){pr::m_vec[1+1*4] = a_value;}
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|
void v21(const T& a_value){pr::m_vec[2+1*4] = a_value;}
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|
void v31(const T& a_value){pr::m_vec[3+1*4] = a_value;}
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|
|
|
void v02(const T& a_value){pr::m_vec[0+2*4] = a_value;}
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|
void v12(const T& a_value){pr::m_vec[1+2*4] = a_value;}
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|
void v22(const T& a_value){pr::m_vec[2+2*4] = a_value;}
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|
void v32(const T& a_value){pr::m_vec[3+2*4] = a_value;}
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|
|
|
void v03(const T& a_value){pr::m_vec[0+3*4] = a_value;}
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|
void v13(const T& a_value){pr::m_vec[1+3*4] = a_value;}
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|
void v23(const T& a_value){pr::m_vec[2+3*4] = a_value;}
|
|
void v33(const T& a_value){pr::m_vec[3+3*4] = a_value;}
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|
|
|
const T& v00() const {return pr::m_vec[0+0*4];}
|
|
const T& v10() const {return pr::m_vec[1+0*4];}
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|
const T& v20() const {return pr::m_vec[2+0*4];}
|
|
const T& v30() const {return pr::m_vec[3+0*4];}
|
|
|
|
const T& v01() const {return pr::m_vec[0+1*4];}
|
|
const T& v11() const {return pr::m_vec[1+1*4];}
|
|
const T& v21() const {return pr::m_vec[2+1*4];}
|
|
const T& v31() const {return pr::m_vec[3+1*4];}
|
|
|
|
const T& v02() const {return pr::m_vec[0+2*4];}
|
|
const T& v12() const {return pr::m_vec[1+2*4];}
|
|
const T& v22() const {return pr::m_vec[2+2*4];}
|
|
const T& v32() const {return pr::m_vec[3+2*4];}
|
|
|
|
const T& v03() const {return pr::m_vec[0+3*4];}
|
|
const T& v13() const {return pr::m_vec[1+3*4];}
|
|
const T& v23() const {return pr::m_vec[2+3*4];}
|
|
const T& v33() const {return pr::m_vec[3+3*4];}
|
|
|
|
protected:
|
|
static void _set_translate(const T& a_x,const T& a_y,const T& a_z,T v[]) {
|
|
v[0] = T(1);v[4] = 0;v[ 8] = 0;v[12] = a_x;
|
|
v[1] = 0;v[5] = T(1);v[ 9] = 0;v[13] = a_y;
|
|
v[2] = 0;v[6] = 0;v[10] = T(1);v[14] = a_z;
|
|
v[3] = 0;v[7] = 0;v[11] = 0;v[15] = T(1);
|
|
}
|
|
|
|
static void _set_scale(const T& a_1,const T& a_2,const T& a_3,T v[]) {
|
|
v[0] = a_1;v[4] = 0;v[ 8] = 0;v[12] = 0;
|
|
v[1] = 0;v[5] = a_2;v[ 9] = 0;v[13] = 0;
|
|
v[2] = 0;v[6] = 0;v[10] = a_3;v[14] = 0;
|
|
v[3] = 0;v[7] = 0;v[11] = 0;v[15] = T(1);
|
|
}
|
|
|
|
static void _set_rotate(const T& a_x,const T& a_y,const T& a_z,const T& a_angle,T v[],T(*a_sin)(T),T(*a_cos)(T)) {
|
|
//WARNING : (a_x,a_y,a_z) must be a normalized vector.
|
|
// v[] = exp(-a_angle*n(a_x,a_y,a_z)*Rs). It models the rotation of an object in the same coordinate system (active rotation).
|
|
T si = a_sin(a_angle);
|
|
T co = a_cos(a_angle);
|
|
T x = a_x;
|
|
T y = a_y;
|
|
T z = a_z;
|
|
T x2 = x*x;
|
|
T y2 = y*y;
|
|
T z2 = z*z;
|
|
T xy = x*y;
|
|
T xz = x*z;
|
|
T yz = y*z;
|
|
v[0] = x2+(1-x2)*co;v[4] = xy*(1-co)-z*si;v[ 8] = xz*(1-co)+y*si;v[12] = 0;
|
|
v[1] = xy*(1-co)+z*si;v[5] = y2+(1-y2)*co;v[ 9] = yz*(1-co)-x*si;v[13] = 0;
|
|
v[2] = xz*(1-co)-y*si;v[6] = yz*(1-co)+x*si;v[10] = z2+(1-z2)*co;v[14] = 0;
|
|
v[3] = 0;v[7] = 0;v[11] = 0;v[15] = 1;
|
|
|
|
// If :
|
|
// n =(x,y,z)
|
|
// n2 = x2+y2+z2 = 1
|
|
// n.E = x*E1+y*E2+z*E3
|
|
// with :
|
|
// E1 E2 E3
|
|
// 0 0 0 0 0 -1 0 1 0
|
|
// 0 0 1 0 0 0 -1 0 0
|
|
// 0 -1 0 1 0 0 0 0 0
|
|
//
|
|
// R(r,c) = cos(theta)*Id(r,c)+(1-cos(theta))*nr*nc-sin(theta)*(n.E)(r,c)
|
|
//
|
|
// R = exp(-theta*(n.E)) // active rotation (it models the rotation of an object by theta along n).
|
|
|
|
}
|
|
|
|
public:
|
|
void mul_mtx_rot_root(const T& a_00,const T& a_01,const T& a_02, //1 row
|
|
const T& a_10,const T& a_11,const T& a_12, //2 row
|
|
const T& a_20,const T& a_21,const T& a_22) //3 row
|
|
{
|
|
T* tv = pr::m_vec;
|
|
//pr::m_vec[0] = 00;pr::m_vec[4] = 01;pr::m_vec[ 8] = 02;pr::m_vec[12] = 03;
|
|
//pr::m_vec[1] = 10;pr::m_vec[5] = 11;pr::m_vec[ 9] = 12;pr::m_vec[13] = 13;
|
|
//pr::m_vec[2] = 20;pr::m_vec[6] = 21;pr::m_vec[10] = 22;pr::m_vec[14] = 23;
|
|
//pr::m_vec[3] = 30;pr::m_vec[7] = 31;pr::m_vec[11] = 32;pr::m_vec[15] = 33;
|
|
|
|
T tv_0 = tv[0];
|
|
T tv_1 = tv[1];
|
|
T tv_2 = tv[2];
|
|
T tv_3 = tv[3];
|
|
T tv_4 = tv[4];
|
|
T tv_5 = tv[5];
|
|
T tv_6 = tv[6];
|
|
T tv_7 = tv[7];
|
|
T tv_8 = tv[8];
|
|
T tv_9 = tv[9];
|
|
T tv_10 = tv[10];
|
|
T tv_11 = tv[11];
|
|
T tv_12 = tv[12];
|
|
T tv_13 = tv[13];
|
|
T tv_14 = tv[14];
|
|
T tv_15 = tv[15];
|
|
|
|
T fv_0 = a_00;
|
|
T fv_1 = a_10;
|
|
T fv_2 = a_20;
|
|
//T fv_3 = 0;
|
|
|
|
T fv_4 = a_01;
|
|
T fv_5 = a_11;
|
|
T fv_6 = a_21;
|
|
//T fv_7 = 0;
|
|
|
|
T fv_8 = a_02;
|
|
T fv_9 = a_12;
|
|
T fv_10 = a_22;
|
|
//T fv_11 = 0;
|
|
|
|
//T fv_12 = 0;
|
|
//T fv_13 = 0;
|
|
//T fv_14 = 0;
|
|
//T fv_15 = 1;
|
|
|
|
tv[0] = tv_0*fv_0+tv_4*fv_1+ tv_8*fv_2;
|
|
tv[1] = tv_1*fv_0+tv_5*fv_1+ tv_9*fv_2;
|
|
tv[2] = tv_2*fv_0+tv_6*fv_1+tv_10*fv_2;
|
|
tv[3] = tv_3*fv_0+tv_7*fv_1+tv_11*fv_2;
|
|
|
|
tv[4] = tv_0*fv_4+tv_4*fv_5+ tv_8*fv_6;
|
|
tv[5] = tv_1*fv_4+tv_5*fv_5+ tv_9*fv_6;
|
|
tv[6] = tv_2*fv_4+tv_6*fv_5+tv_10*fv_6;
|
|
tv[7] = tv_3*fv_4+tv_7*fv_5+tv_11*fv_6;
|
|
|
|
tv[8] = tv_0*fv_8+tv_4*fv_9+ tv_8*fv_10;
|
|
tv[9] = tv_1*fv_8+tv_5*fv_9+ tv_9*fv_10;
|
|
tv[10] = tv_2*fv_8+tv_6*fv_9+tv_10*fv_10;
|
|
tv[11] = tv_3*fv_8+tv_7*fv_9+tv_11*fv_10;
|
|
|
|
tv[12] = tv_12;
|
|
tv[13] = tv_13;
|
|
tv[14] = tv_14;
|
|
tv[15] = tv_15;
|
|
}
|
|
|
|
template <class MAT3>
|
|
void set_mat3(MAT3& a_m3) {
|
|
a_m3.set_matrix(pr::m_vec[0],pr::m_vec[4],pr::m_vec[ 8], //1 row
|
|
pr::m_vec[1],pr::m_vec[5],pr::m_vec[ 9], //2 row
|
|
pr::m_vec[2],pr::m_vec[6],pr::m_vec[10]); //3 row
|
|
}
|
|
private:static void check_instantiation() {mat4<float> dummy;}
|
|
};
|
|
|
|
////////////////////////////////////////////////
|
|
/// common matrices : //////////////////////////
|
|
////////////////////////////////////////////////
|
|
|
|
template <class T> inline const mat4<T>& mat4_zero() {static const mat4<T> s_v;return s_v;}
|
|
|
|
//for sf, mf :
|
|
template <class T>
|
|
inline const T* get_data(const mat4<T>& a_v) {return a_v.data();}
|
|
|
|
}
|
|
|
|
#include <ostream>
|
|
|
|
namespace tools {
|
|
|
|
template <class T>
|
|
inline std::ostream& operator<<(std::ostream& a_out,const mat4<T>& a_mtx){
|
|
const T* v = a_mtx.data();
|
|
a_out << v[0] << "," << v[4] << "," << v[ 8] << "," << v[12] << std::endl
|
|
<< v[1] << "," << v[5] << "," << v[ 9] << "," << v[13] << std::endl
|
|
<< v[2] << "," << v[6] << "," << v[10] << "," << v[14] << std::endl
|
|
<< v[3] << "," << v[7] << "," << v[11] << "," << v[15] << std::endl;
|
|
return a_out;
|
|
}
|
|
|
|
}
|
|
|
|
#endif
|