From e5a3c99d0f46d825a5550e88a0906f900e31be52 Mon Sep 17 00:00:00 2001 From: musil Date: Thu, 9 Mar 2006 17:05:43 +0000 Subject: initial version JAN_06 with all sources svn path=/trunk/externals/iem/iem_ambi/; revision=4668 --- src/ambi_rot.c | 1534 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 1534 insertions(+) create mode 100644 src/ambi_rot.c (limited to 'src/ambi_rot.c') diff --git a/src/ambi_rot.c b/src/ambi_rot.c new file mode 100644 index 0000000..2e23a10 --- /dev/null +++ b/src/ambi_rot.c @@ -0,0 +1,1534 @@ +/* For information on usage and redistribution, and for a DISCLAIMER OF ALL +* WARRANTIES, see the file, "LICENSE.txt," in this distribution. + +iem_ambi written by Thomas Musil, Copyright (c) IEM KUG Graz Austria 2000 - 2005 */ + +#ifdef NT +#pragma warning( disable : 4244 ) +#pragma warning( disable : 4305 ) +#endif + + +#include "m_pd.h" +#include "iemlib.h" +#include +#include +#include + + + +/* -------------------------- ambi_rot ------------------------------ */ +/* +ambi_rot : 1. uebergabe-argument : ambisonic-ordnung 1 .. 4; + + input: nur z-rotation; + input: mit 2 floats: nur z*y-rotation; + input: mit 3 floats: z*y*x-rotation; + + output: je nach ordnung: 1 .. 4 -outputs mit selector "matrix" + row + col + ordnung*ordnung-coeff.; +*/ + +typedef struct _ambi_rot +{ + t_object x_obj; + t_atom *x_at2; + int x_size2; + t_atom *x_at3; + int x_size3; + void *x_out3; + t_atom *x_at5; + int x_size5; + void *x_out5; + t_atom *x_at7; + int x_size7; + void *x_out7; + t_atom *x_at9; + int x_size9; + void *x_out9; + t_atom *x_at11; + int x_size11; + void *x_out11; + void *x_out13; + void *x_out15; + void *x_out17; + void *x_out19; + void *x_out21; + void *x_out23; + void *x_out25; + float x_sqrt2_16; + float x_sqrt3_2; + float x_sqrt5_32; + float x_sqrt6_4; + float x_sqrt7_8; + float x_sqrt10_4; + float x_sqrt14_16; + float x_sqrt15_8; + float x_sqrt35_64; + float x_sqrt70_32; + float x_pi_over_180; + t_symbol *x_s_matrix; + int x_order; +} t_ambi_rot; + +static t_class *ambi_rot_class; + +static void ambi_rot_float(t_ambi_rot *x, t_floatarg rho_z) /* = ambi_rot_z(); */ +{ + float c, s, cc, ss, c2, s2, c3, s3, s4, c4, s5, c5, s6, c6, sx, cx; + t_atom *at; + + rho_z *= x->x_pi_over_180; + + c = cos(rho_z); + s = sin(rho_z); + cc = c*c; + ss = s*s; + + if(x->x_order >= 2) + { + c2 = cc - ss; + s2 = 2.0f*s*c; + if(x->x_order >= 3) + { + c3 = c*(4.0f*cc - 3.0f); + s3 = s*(3.0f - 4.0f*ss); + if(x->x_order >= 4) + { + c4 = 1.0f + 8.0f*cc*(cc - 1.0f); + s4 = 2.0f*s2*c2; + if(x->x_order >= 5) + { + c5 = c*(1.0f + 4.0f*ss*(ss - 3.0f*cc)); + s5 = s*(1.0f + 4.0f*cc*(cc - 3.0f*ss)); + if(x->x_order >= 6) + { + c6 = c3*c3 - s3*s3; + s6 = 2.0f*s3*c3; + if(x->x_order >= 7) + { + if(x->x_order >= 8) + { + if(x->x_order >= 9) + { + if(x->x_order >= 10) + { + if(x->x_order >= 11) + { + if(x->x_order >= 12) + { + if(x->x_order >= 13) + post("ambi_rot-ERROR: do not support Ambisonic-Order greater than 12 in z-Rotation !!!"); + + at = x->x_at2; + at += 2; + cx = c6*c6 - s6*s6; + sx = 2.0f*s6*c6; + SETFLOAT(at, cx); + at++; + SETFLOAT(at, -sx); + at++; + SETFLOAT(at, sx); + at++; + SETFLOAT(at, cx); + outlet_anything(x->x_out25, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + cx = cos(11.0f*rho_z); + sx = sin(11.0f*rho_z); + SETFLOAT(at, cx); + at++; + SETFLOAT(at, -sx); + at++; + SETFLOAT(at, sx); + at++; + SETFLOAT(at, cx); + outlet_anything(x->x_out23, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + cx = c5*c5 - s5*s5; + sx = 2.0f*s5*c5; + SETFLOAT(at, cx); + at++; + SETFLOAT(at, -sx); + at++; + SETFLOAT(at, sx); + at++; + SETFLOAT(at, cx); + outlet_anything(x->x_out21, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + cx = cos(9.0f*rho_z); + sx = sin(9.0f*rho_z); + SETFLOAT(at, cx); + at++; + SETFLOAT(at, -sx); + at++; + SETFLOAT(at, sx); + at++; + SETFLOAT(at, cx); + outlet_anything(x->x_out19, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + cx = c4*c4 - s4*s4; + sx = 2.0f*s4*c4; + SETFLOAT(at, cx); + at++; + SETFLOAT(at, -sx); + at++; + SETFLOAT(at, sx); + at++; + SETFLOAT(at, cx); + outlet_anything(x->x_out17, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + cx = cos(7.0f*rho_z); + sx = sin(7.0f*rho_z); + SETFLOAT(at, cx); + at++; + SETFLOAT(at, -sx); + at++; + SETFLOAT(at, sx); + at++; + SETFLOAT(at, cx); + outlet_anything(x->x_out15, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + SETFLOAT(at, c6); + at++; + SETFLOAT(at, -s6); + at++; + SETFLOAT(at, s6); + at++; + SETFLOAT(at, c6); + outlet_anything(x->x_out13, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + SETFLOAT(at, c5); + at++; + SETFLOAT(at, -s5); + at++; + SETFLOAT(at, s5); + at++; + SETFLOAT(at, c5); + outlet_anything(x->x_out11, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + SETFLOAT(at, c4); + at++; + SETFLOAT(at, -s4); + at++; + SETFLOAT(at, s4); + at++; + SETFLOAT(at, c4); + outlet_anything(x->x_out9, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + SETFLOAT(at, c3); + at++; + SETFLOAT(at, -s3); + at++; + SETFLOAT(at, s3); + at++; + SETFLOAT(at, c3); + outlet_anything(x->x_out7, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + SETFLOAT(at, c2); + at++; + SETFLOAT(at, -s2); + at++; + SETFLOAT(at, s2); + at++; + SETFLOAT(at, c2); + outlet_anything(x->x_out5, x->x_s_matrix, x->x_size2, x->x_at2); + } + at = x->x_at2; + at += 2; + SETFLOAT(at, c); + at++; + SETFLOAT(at, -s); + at++; + SETFLOAT(at, s); + at++; + SETFLOAT(at, c); + outlet_anything(x->x_out3, x->x_s_matrix, x->x_size2, x->x_at2); +} + +static void ambi_rot_zy(t_ambi_rot *x, float rho_z, float rho_y) +{ + float cy, sy, ccy, ssy, c2y, s2y, c3y, s3y, c4y, s4y; + float cz, sz, ccz, ssz, c2z, s2z, c3z, s3z, c4z, s4z; + float r9_y[9][9]; + int i; + t_atom *at; + + rho_z *= x->x_pi_over_180; + rho_y *= x->x_pi_over_180; + + cz = cos(rho_z); + sz = sin(rho_z); + ccz = cz*cz; + ssz = sz*sz; + + cy = cos(rho_y); + sy = sin(rho_y); + ccy = cy*cy; + ssy = sy*sy; + + if(x->x_order >= 2) + { + c2z = ccz - ssz; + s2z = 2.0f*sz*cz; + c2y = ccy - ssy; + s2y = 2.0f*sy*cy; + if(x->x_order >= 3) + { + c3z = cz*(4.0f*ccz - 3.0f); + s3z = sz*(3.0f - 4.0f*ssz); + c3y = cy*(4.0f*ccy - 3.0f); + s3y = sy*(3.0f - 4.0f*ssy); + if(x->x_order >= 4) + { + if(x->x_order >= 5) + post("ambi_rot-ERROR: do not support Ambisonic-Order greater than 5 in zy-Rotation !!!"); + + /*y + r9_11=(35 + 28*c2 + c4)/64; + r9_22=(7c + c3)/8; + r9_31 = x->x_sqrt2*(14*s2 + s4)/32; + r9_33=(7*c2 + c4)/8; + r9_42 = x->x_sqrt2*(7*s + 3*s3)/16; + r9_44=(7*c + 9*c3)/16; + r9_51 = x->x_sqrt7*(5 - 4*c2 - c4)/32; + r9_53 = x->x_sqrt14*(2*s2 + s4)/16; + r9_55=(5 + 4*c2 + 7*c4)/16; + r9_62 = x->x_sqrt7*(c - c3)/8; + r9_64 = x->x_sqrt14*(-s + 3*s3)/16; + r9_66=(c + 7*c3)/8; + r9_71 = x->x_sqrt14*(2*s2 - s4)/32; + r9_73 = x->x_sqrt7*(c2 - c4)/8; + r9_75 = x->x_sqrt2*(-2*s2 + 7*s4)/16; + r9_77=(c2 + 7*c4)/8; + r9_82 = x->x_sqrt14*(3*s - s3)/16; + r9_84 = x->x_sqrt7*(3*c - 3*c3)/16; + r9_86 = x->x_sqrt2*(3*s + 7*s3)/16; + r9_88=(9*c + 7*c3)/16; + r9_91 = x->x_sqrt35*(3 - 4*c2 + c4)/64; + r9_93 = x->x_sqrt70*(2*s2 - s4)/32; + r9_95 = x->x_sqrt5*(3 + 4*c2 - 7*c4)/32; + r9_97 = x->x_sqrt10*(2*s2 + 7*s4)/32; + r9_99=(9 + 20*c2 + 35*c4)/64; + */ + + c4y = 1.0f + 8.0f*ccy*(ccy - 1.0f); + s4y = 2.0f*s2y*c2y; + + c4z = 1.0f + 8.0f*ccz*(ccz - 1.0f); + s4z = 2.0f*s2z*c2z; + + r9_y[0][0] = (35.0f + 28.0f*c2y + c4y)*0.015625f;/* -r9_31y, r9_51y, -r9_71y, r9_91y; */ + r9_y[1][1] = (7.0f*cy + c3y)*0.125f;/* -r9_42y, r9_62y, -r9_82y;*/ + r9_y[2][0] = x->x_sqrt2_16*(14.0f*s2y + s4y)*0.5f; + r9_y[2][2] = (7.0f*c2y + c4y)*0.125f;/* -r9_53y, r9_73y, -r9_93y;*/ + r9_y[3][1] = x->x_sqrt2_16*(7.0f*sy + 3.0f*s3y); + r9_y[3][3] = (7.0f*cy + 9.0f*c3y)*0.0625f;/* -r9_64y, r9_84y;*/ + r9_y[4][0] = x->x_sqrt7_8*(5.0f - 4.0f*c2y - c4y)*0.25f; + r9_y[4][2] = x->x_sqrt14_16*(2.0f*s2y + s4y); + r9_y[4][4] = (5.0f + 4.0f*c2y + 7.0f*c4y)*0.0625f;/* -r9_75y, r9_95y;*/ + r9_y[5][1] = x->x_sqrt7_8*(cy - c3y); + r9_y[5][3] = x->x_sqrt14_16*(3.0f*s3y - sy); + r9_y[5][5] = (cy + 7.0f*c3y)*0.125f;/* -r9_86y;*/ + r9_y[6][0] = x->x_sqrt14_16*(2.0f*s2y - s4y)*0.5f; + r9_y[6][2] = x->x_sqrt7_8*(c2y - c4y); + r9_y[6][4] = x->x_sqrt2_16*(7.0f*s4y - 2.0f*s2y); + r9_y[6][6] = (c2y + 7.0f*c4y)*0.125f;/* -r9_97y;*/ + r9_y[7][1] = x->x_sqrt14_16*(3.0f*sy - s3y); + r9_y[7][3] = x->x_sqrt7_8*(cy - c3y)*1.5f; + r9_y[7][5] = x->x_sqrt2_16*(3.0f*sy + 7.0f*s3y); + r9_y[7][7] = (9.0f*cy + 7.0f*c3y)*0.0625f; + r9_y[8][0] = x->x_sqrt35_64*(3.0f - 4.0f*c2y + c4y); + r9_y[8][2] = x->x_sqrt70_32*(2.0f*s2y - s4y); + r9_y[8][4] = x->x_sqrt5_32*(3.0f + 4.0f*c2y - 7.0f*c4y); + r9_y[8][6] = x->x_sqrt10_4*(2.0f*s2y + 7.0f*s4y)*0.125f; + r9_y[8][8] = (9.0f + 20.0f*c2y + 35.0f*c4y)*0.015625f; + + r9_y[0][2] = -r9_y[2][0]; + r9_y[0][4] = r9_y[4][0]; + r9_y[0][6] = -r9_y[6][0]; + r9_y[0][8] = r9_y[8][0]; + r9_y[1][3] = -r9_y[3][1]; + r9_y[1][5] = r9_y[5][1]; + r9_y[1][7] = -r9_y[7][1]; + r9_y[2][4] = -r9_y[4][2]; + r9_y[2][6] = r9_y[6][2]; + r9_y[2][8] = -r9_y[8][2]; + r9_y[3][5] = -r9_y[5][3]; + r9_y[3][7] = r9_y[7][3]; + r9_y[4][6] = -r9_y[6][4]; + r9_y[4][8] = r9_y[8][4]; + r9_y[5][7] = -r9_y[7][5]; + r9_y[6][8] = -r9_y[8][6]; + + at = x->x_at9; + at += 2; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, c4z*r9_y[0][i]); + at++; + SETFLOAT(at, -s4z*r9_y[1][i+1]); + at++; + } + SETFLOAT(at, c4z*r9_y[0][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, c4z*r9_y[0][i]); + at++; + SETFLOAT(at, s4z*r9_y[1][i+1]); + at++; + } + SETFLOAT(at, s4z*r9_y[0][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, c3z*r9_y[2][i]); + at++; + SETFLOAT(at, -s3z*r9_y[3][i+1]); + at++; + } + SETFLOAT(at, c3z*r9_y[2][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, c3z*r9_y[2][i]); + at++; + SETFLOAT(at, s3z*r9_y[3][i+1]); + at++; + } + SETFLOAT(at, s3z*r9_y[2][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, c2z*r9_y[4][i]); + at++; + SETFLOAT(at, -s2z*r9_y[5][i+1]); + at++; + } + SETFLOAT(at, c2z*r9_y[4][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, c2z*r9_y[4][i]); + at++; + SETFLOAT(at, s2z*r9_y[5][i+1]); + at++; + } + SETFLOAT(at, s2z*r9_y[4][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, cz*r9_y[6][i]); + at++; + SETFLOAT(at, -sz*r9_y[7][i+1]); + at++; + } + SETFLOAT(at, cz*r9_y[6][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, cz*r9_y[6][i]); + at++; + SETFLOAT(at, sz*r9_y[7][i+1]); + at++; + } + SETFLOAT(at, sz*r9_y[6][8]); + at++; + + for(i=0; i<8; i+=2) + { + SETFLOAT(at, r9_y[8][i]); + at++; + SETFLOAT(at, 0.0f); + at++; + } + SETFLOAT(at, r9_y[8][8]); + + outlet_anything(x->x_out9, x->x_s_matrix, x->x_size9, x->x_at9); + } + + /*y + r7_11=(15*c + c3)/16; + r7_22=(5 + 3*c2)/8; + r7_31 = x->x_sqrt6*(5*s + s3)/16; + r7_33=(5*c + 3*c3)/8; + r7_42 = x->x_sqrt6*(s2)/4; + r7_44=(c2); + r7_51 = x->x_sqrt15*(c - c3)/16; + r7_53 = x->x_sqrt10*(-s + 3*s3)/16; + r7_55=(c + 15*c3)/16; + r7_62 = x->x_sqrt15*(1 - c2)/8; + r7_64 = x->x_sqrt10*(s2)/4; + r7_66=(3 + 5*c2)/8; + r7_71 = x->x_sqrt10*(3*s - s3)/16; + r7_73 = x->x_sqrt15*(c - c3)/8 = 2*r7_51; + r7_75 = x->x_sqrt6*(s + 5*s3)/16; + r7_77=(3*c + 5*c3)/8; + + */ + r9_y[0][0] = (15.0f*cy + c3y)*0.0625f;/* -r7_31y, r7_51y, -r7_71y;*/ + r9_y[1][1] = (5.0f + 3.0f*c2y)*0.125f;/* -r7_42y, r7_62y;*/ + r9_y[2][0] = x->x_sqrt6_4*(5.0f*sy + s3y)*0.25f; + r9_y[2][2] = (5.0f*cy + 3.0f*c3y)*0.125f;/* -r7_53y, r7_73y;*/ + r9_y[3][1] = x->x_sqrt6_4*s2y; + r9_y[3][3] = c2y;/* -r7_64y;*/ + r9_y[6][2] = x->x_sqrt15_8*(cy - c3y); + r9_y[4][0] = r9_y[6][2]*0.5f; + r9_y[4][2] = x->x_sqrt10_4*(3.0f*s3y - sy)*0.25f; + r9_y[4][4] = (cy + 15.0f*c3y)*0.0625f;/* -r7_75y;*/ + r9_y[5][1] = x->x_sqrt15_8*(1.0f - c2y); + r9_y[5][3] = x->x_sqrt10_4*s2y; + r9_y[5][5] = (3.0f + 5.0f*c2y)*0.125f; + r9_y[6][0] = x->x_sqrt10_4*(3.0f*sy - s3y)*0.25f; + + r9_y[6][4] = x->x_sqrt6_4*(sy + 5.0f*s3y)*0.25f; + r9_y[6][6] = (3.0f*cy + 5.0f*c3y)*0.125f; + + r9_y[0][2] = -r9_y[2][0]; + r9_y[0][4] = r9_y[4][0]; + r9_y[0][6] = -r9_y[6][0]; + r9_y[1][3] = -r9_y[3][1]; + r9_y[1][5] = r9_y[5][1]; + r9_y[2][4] = -r9_y[4][2]; + r9_y[2][6] = r9_y[6][2]; + r9_y[3][5] = -r9_y[5][3]; + r9_y[4][6] = -r9_y[6][4]; + + at = x->x_at7; + at += 2; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, c3z*r9_y[0][i]); + at++; + SETFLOAT(at, -s3z*r9_y[1][i+1]); + at++; + } + SETFLOAT(at, c3z*r9_y[0][6]); + at++; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, c3z*r9_y[0][i]); + at++; + SETFLOAT(at, s3z*r9_y[1][i+1]); + at++; + } + SETFLOAT(at, s3z*r9_y[0][6]); + at++; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, c2z*r9_y[2][i]); + at++; + SETFLOAT(at, -s2z*r9_y[3][i+1]); + at++; + } + SETFLOAT(at, c2z*r9_y[2][6]); + at++; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, c2z*r9_y[2][i]); + at++; + SETFLOAT(at, s2z*r9_y[3][i+1]); + at++; + } + SETFLOAT(at, s2z*r9_y[2][6]); + at++; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, cz*r9_y[4][i]); + at++; + SETFLOAT(at, -sz*r9_y[5][i+1]); + at++; + } + SETFLOAT(at, cz*r9_y[4][6]); + at++; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, cz*r9_y[4][i]); + at++; + SETFLOAT(at, sz*r9_y[5][i+1]); + at++; + } + SETFLOAT(at, sz*r9_y[4][6]); + at++; + + for(i=0; i<6; i+=2) + { + SETFLOAT(at, r9_y[6][i]); + at++; + SETFLOAT(at, 0.0f); + at++; + } + SETFLOAT(at, r9_y[6][6]); + + outlet_anything(x->x_out7, x->x_s_matrix, x->x_size7, x->x_at7); + } + + /*y + r5_11=(3 + c2)/4; + r5_22=(c); + r5_31 = (s2)/2; + r5_33=(c2); + r5_42 = (s); + r5_44=(c); + r5_51 = x->x_sqrt3*(1 - c2)/4; + r5_53 = x->x_sqrt3*(s2)/2; + r5_55=(1 + 3*c2)/4; + */ + r9_y[0][0] = (3.0f + c2y)*0.25f;/* -r5_31y, r5_51y;*/ + r9_y[1][1] = cy;/* -r5_42y;*/ + r9_y[2][0] = s2y*0.5f; + r9_y[2][2] = c2y;/* -r5_53y;*/ + r9_y[3][1] = sy; + r9_y[3][3] = cy; + r9_y[4][0] = x->x_sqrt3_2*(1.0f - c2y)*0.5f; + r9_y[4][2] = x->x_sqrt3_2*s2y; + r9_y[4][4] = (1.0f + 3.0f*c2y)*0.25f; + + r9_y[0][2] = -r9_y[2][0]; + r9_y[0][4] = r9_y[4][0]; + r9_y[1][3] = -r9_y[3][1]; + r9_y[2][4] = -r9_y[4][2]; + + at = x->x_at5; + at += 2; + + for(i=0; i<4; i+=2) + { + SETFLOAT(at, c2z*r9_y[0][i]); + at++; + SETFLOAT(at, -s2z*r9_y[1][i+1]); + at++; + } + SETFLOAT(at, c2z*r9_y[0][4]); + at++; + + for(i=0; i<4; i+=2) + { + SETFLOAT(at, c2z*r9_y[0][i]); + at++; + SETFLOAT(at, s2z*r9_y[1][i+1]); + at++; + } + SETFLOAT(at, s2z*r9_y[0][4]); + at++; + + for(i=0; i<4; i+=2) + { + SETFLOAT(at, cz*r9_y[2][i]); + at++; + SETFLOAT(at, -sz*r9_y[3][i+1]); + at++; + } + SETFLOAT(at, cz*r9_y[2][4]); + at++; + + for(i=0; i<4; i+=2) + { + SETFLOAT(at, cz*r9_y[2][i]); + at++; + SETFLOAT(at, sz*r9_y[3][i+1]); + at++; + } + SETFLOAT(at, sz*r9_y[2][4]); + at++; + + for(i=0; i<4; i+=2) + { + SETFLOAT(at, r9_y[4][i]); + at++; + SETFLOAT(at, 0.0f); + at++; + } + SETFLOAT(at, r9_y[4][4]); + + outlet_anything(x->x_out5, x->x_s_matrix, x->x_size5, x->x_at5); + } + + /*y + r3_11=(c); + r3_22=(1); + r3_31 = (s); + r3_33=(c); + */ + r9_y[0][0] = cy;/* -r3_31y;*/ + r9_y[1][1] = 1.0f; + r9_y[2][0] = sy; + r9_y[2][2] = cy; + r9_y[0][2] = -r9_y[2][0]; + + at = x->x_at3; + at += 2; + + SETFLOAT(at, cz*r9_y[0][0]); + at++; + SETFLOAT(at, -sz*r9_y[1][1]); + at++; + SETFLOAT(at, cz*r9_y[0][2]); + at++; + + SETFLOAT(at, sz*r9_y[0][0]); + at++; + SETFLOAT(at, cz*r9_y[1][1]); + at++; + SETFLOAT(at, sz*r9_y[0][2]); + at++; + + SETFLOAT(at, r9_y[2][0]); + at++; + SETFLOAT(at, 0.0f); + at++; + SETFLOAT(at, r9_y[2][2]); + + outlet_anything(x->x_out3, x->x_s_matrix, x->x_size3, x->x_at3); +} + +static void ambi_rot_zyx(t_ambi_rot *x, float rho_z, float rho_y, float rho_x) +{ + float cx, sx, ccx, ssx, c2x, s2x, c3x, s3x, c4x, s4x; + float cy, sy, ccy, ssy, c2y, s2y, c3y, s3y, c4y, s4y; + float cz, sz, ccz, ssz, c2z, s2z, c3z, s3z, c4z, s4z; + float r9_zy[9][9]; + float r9_z[9][9]; + float r9_y[9][9]; + float r9_x[9][9]; + int i, j; + t_atom *at; + + rho_z *= x->x_pi_over_180; + rho_y *= x->x_pi_over_180; + rho_x *= x->x_pi_over_180; + + cz = cos(rho_z); + sz = sin(rho_z); + ccz = cz*cz; + ssz = sz*sz; + + cy = cos(rho_y); + sy = sin(rho_y); + ccy = cy*cy; + ssy = sy*sy; + + cx = cos(rho_x); + sx = sin(rho_x); + ccx = cx*cx; + ssx = sx*sx; + + if(x->x_order >= 2) + { + c2z = ccz - ssz; + s2z = 2.0f*sz*cz; + c2y = ccy - ssy; + s2y = 2.0f*sy*cy; + c2x = ccx - ssx; + s2x = 2.0f*sx*cx; + + if(x->x_order >= 3) + { + c3z = cz*(4.0f*ccz - 3.0f); + s3z = sz*(3.0f - 4.0f*ssz); + c3y = cy*(4.0f*ccy - 3.0f); + s3y = sy*(3.0f - 4.0f*ssy); + c3x = cx*(4.0f*ccx - 3.0f); + s3x = sx*(3.0f - 4.0f*ssx); + + if(x->x_order >= 4) + { + if(x->x_order >= 5) + post("ambi_rot-ERROR: do not support Ambisonic-Order greater than 5 in zyx-Rotation !!!"); + + c4z = 1.0f + 8.0f*ccz*(ccz - 1.0f); + s4z = 2.0f*s2z*c2z; + + c4y = 1.0f + 8.0f*ccy*(ccy - 1.0f); + s4y = 2.0f*s2y*c2y; + + c4x = 1.0f + 8.0f*ccx*(ccx - 1.0f); + s4x = 2.0f*s2x*c2x; + + r9_z[0][0] = c4z; + r9_z[0][1] = -s4z; + r9_z[1][0] = s4z; + r9_z[1][1] = c4z; + r9_z[2][2] = c3z; + r9_z[2][3] = -s3z; + r9_z[3][2] = s3z; + r9_z[3][3] = c3z; + r9_z[4][4] = c2z; + r9_z[4][5] = -s2z; + r9_z[5][4] = s2z; + r9_z[5][5] = c2z; + r9_z[6][6] = cz; + r9_z[6][7] = -sz; + r9_z[7][6] = sz; + r9_z[7][7] = cz; + r9_z[8][8] = 1.0f; + /*y + r9_11=(35 + 28*c2 + c4)/64; + r9_22=(7c + c3)/8; + r9_31 = x->x_sqrt2*(14*s2 + s4)/32; + r9_33=(7*c2 + c4)/8; + r9_42 = x->x_sqrt2*(7*s + 3*s3)/16; + r9_44=(7*c + 9*c3)/16; + r9_51 = x->x_sqrt7*(5 - 4*c2 - c4)/32; + r9_53 = x->x_sqrt14*(2*s2 + s4)/16; + r9_55=(5 + 4*c2 + 7*c4)/16; + r9_62 = x->x_sqrt7*(c - c3)/8; + r9_64 = x->x_sqrt14*(-s + 3*s3)/16; + r9_66=(c + 7*c3)/8; + r9_71 = x->x_sqrt14*(2*s2 - s4)/32; + r9_73 = x->x_sqrt7*(c2 - c4)/8; + r9_75 = x->x_sqrt2*(-2*s2 + 7*s4)/16; + r9_77=(c2 + 7*c4)/8; + r9_82 = x->x_sqrt14*(3*s - s3)/16; + r9_84 = x->x_sqrt7*(3*c - 3*c3)/16; + r9_86 = x->x_sqrt2*(3*s + 7*s3)/16; + r9_88=(9*c + 7*c3)/16; + r9_91 = x->x_sqrt35*(3 - 4*c2 + c4)/64; + r9_93 = x->x_sqrt70*(2*s2 - s4)/32; + r9_95 = x->x_sqrt5*(3 + 4*c2 - 7*c4)/32; + r9_97 = x->x_sqrt10*(2*s2 + 7*s4)/32; + r9_99=(9 + 20*c2 + 35*c4)/64; + */ + r9_y[0][0] = (35.0f + 28.0f*c2y + c4y)*0.015625f;/* -r9_31y, r9_51y, -r9_71y, r9_91y; */ + r9_y[1][1] = (7.0f*cy + c3y)*0.125f;/* -r9_42y, r9_62y, -r9_82y;*/ + r9_y[2][0] = x->x_sqrt2_16*(14.0f*s2y + s4y)*0.5f; + r9_y[2][2] = (7.0f*c2y + c4y)*0.125f;/* -r9_53y, r9_73y, -r9_93y;*/ + r9_y[3][1] = x->x_sqrt2_16*(7.0f*sy + 3.0f*s3y); + r9_y[3][3] = (7.0f*cy + 9.0f*c3y)*0.0625f;/* -r9_64y, r9_84y;*/ + r9_y[4][0] = x->x_sqrt7_8*(5.0f - 4.0f*c2y - c4y)*0.25f; + r9_y[4][2] = x->x_sqrt14_16*(2.0f*s2y + s4y); + r9_y[4][4] = (5.0f + 4.0f*c2y + 7.0f*c4y)*0.0625f;/* -r9_75y, r9_95y;*/ + r9_y[5][1] = x->x_sqrt7_8*(cy - c3y); + r9_y[5][3] = x->x_sqrt14_16*(3.0f*s3y - sy); + r9_y[5][5] = (cy + 7.0f*c3y)*0.125f;/* -r9_86y;*/ + r9_y[6][0] = x->x_sqrt14_16*(2.0f*s2y - s4y)*0.5f; + r9_y[6][2] = x->x_sqrt7_8*(c2y - c4y); + r9_y[6][4] = x->x_sqrt2_16*(7.0f*s4y - 2.0f*s2y); + r9_y[6][6] = (c2y + 7.0f*c4y)*0.125f;/* -r9_97y;*/ + r9_y[7][1] = x->x_sqrt14_16*(3.0f*sy - s3y); + r9_y[7][3] = x->x_sqrt7_8*(cy - c3y)*1.5f; + r9_y[7][5] = x->x_sqrt2_16*(3.0f*sy + 7.0f*s3y); + r9_y[7][7] = (9.0f*cy + 7.0f*c3y)*0.0625f; + r9_y[8][0] = x->x_sqrt35_64*(3.0f - 4.0f*c2y + c4y); + r9_y[8][2] = x->x_sqrt70_32*(2.0f*s2y - s4y); + r9_y[8][4] = x->x_sqrt5_32*(3.0f + 4.0f*c2y - 7.0f*c4y); + r9_y[8][6] = x->x_sqrt10_4*(2.0f*s2y + 7.0f*s4y)*0.125f; + r9_y[8][8] = (9.0f + 20.0f*c2y + 35.0f*c4y)*0.015625f; + + r9_y[0][2] = -r9_y[2][0]; + r9_y[0][4] = r9_y[4][0]; + r9_y[0][6] = -r9_y[6][0]; + r9_y[0][8] = r9_y[8][0]; + r9_y[1][3] = -r9_y[3][1]; + r9_y[1][5] = r9_y[5][1]; + r9_y[1][7] = -r9_y[7][1]; + r9_y[2][4] = -r9_y[4][2]; + r9_y[2][6] = r9_y[6][2]; + r9_y[2][8] = -r9_y[8][2]; + r9_y[3][5] = -r9_y[5][3]; + r9_y[3][7] = r9_y[7][3]; + r9_y[4][6] = -r9_y[6][4]; + r9_y[4][8] = r9_y[8][4]; + r9_y[5][7] = -r9_y[7][5]; + r9_y[6][8] = -r9_y[8][6]; + + /*x + r9_11=(35 + 28*c2 + c4)/64; + r9_22=(7c + c3)/8; + r9_32 = x->x_sqrt2*(7*s + 3*s3)/16; + r9_33=(7*c + 9*c3)/16; + r9_41 = x->x_sqrt2*(-14*s2 - s4)/32; + r9_44=(7*c2 + c4)/8; + r9_51 = x->x_sqrt7*(-5 + 4*c2 + c4)/32; + r9_54 = x->x_sqrt14*(2*s2 + s4)/16; + r9_55=(5 + 4*c2 + 7*c4)/16; + r9_62 = x->x_sqrt7*(-c + c3)/8; + r9_63 = x->x_sqrt14*(s - 3*s3)/16; + r9_66=(c + 7*c3)/8; + r9_72 = x->x_sqrt14*(-3s + s3)/16; + r9_73 = x->x_sqrt7*(-3*c + 3*c3)/16; + r9_76 = x->x_sqrt2*(3*s + 7*s3)/16; + r9_77=(9*c + 7*c3)/16; + r9_81 = x->x_sqrt14*(2*s2 - s4)/32; + r9_84 = x->x_sqrt7*(-c2 + c4)/8; + r9_85 = x->x_sqrt2*(2*s2 - 7*s4)/16; + r9_88=(c2 + 7*c4)/8; + r9_91 = x->x_sqrt35*(3 - 4*c2 + c4)/64; + r9_94 = x->x_sqrt70*(-2*s2 + s4)/32; + r9_95 = x->x_sqrt5*(-3 - 4*c2 + 7*c4)/32; + r9_98 = x->x_sqrt10*(2*s2 + 7*s4)/32; + r9_99=(9 + 20*c2 + 35*c4)/64; + */ + + r9_x[0][0] = (35.0f + 28.0f*c2x + c4x)*0.015625f;/* -r9_41x, r9_51x, -r9_81x, r9_91x;*/ + r9_x[1][1] = (7.0f*cx + c3x)*0.125f;/* -r9_32x, r9_62x, -r9_72x;*/ + r9_x[2][1] = x->x_sqrt2_16*(7.0f*sx + 3.0f*s3x); + r9_x[2][2] = (7.0f*cx + 9.0f*c3x)*0.0625f;/* -r9_63x, r9_73x;*/ + r9_x[3][0] = -x->x_sqrt2_16*(14.0f*s2x + s4x)*0.5f; + r9_x[3][3] = (7.0f*c2x + c4x)*0.125f;/* -r9_54x, r9_84x, -r9_94x;*/ + r9_x[4][0] = x->x_sqrt7_8*(4.0f*c2x + c4x - 5.0f)*0.25f; + r9_x[4][3] = x->x_sqrt14_16*(2.0f*s2x + s4x); + r9_x[4][4] = (5.0f + 4.0f*c2x + 7.0f*c4x)*0.0625f;/* -r9_85x, r9_95x;*/ + r9_x[5][1] = x->x_sqrt7_8*(c3x - cx); + r9_x[5][2] = x->x_sqrt14_16*(sx - 3.0f*s3x); + r9_x[5][5] = (cx + 7.0f*c3x)*0.125f;/* -r9_76x;*/ + r9_x[6][1] = x->x_sqrt14_16*(s3x - 3.0f*sx); + r9_x[6][2] = x->x_sqrt7_8*(c3x - cx)*1.5f; + r9_x[6][5] = x->x_sqrt2_16*(3.0f*sx + 7.0f*s3x); + r9_x[6][6] = (9.0f*cx + 7.0f*c3x)*0.0625f; + r9_x[7][0] = x->x_sqrt14_16*(2.0f*s2x - s4x)*0.5f; + r9_x[7][3] = x->x_sqrt7_8*(c4x - c2x); + r9_x[7][4] = x->x_sqrt2_16*(2.0f*s2x - 7.0f*s4x); + r9_x[7][7] = (c2x + 7.0f*c4x)*0.125f;/* -r9_98x*/ + r9_x[8][0] = x->x_sqrt35_64*(3.0f - 4.0f*c2x + c4x); + r9_x[8][3] = x->x_sqrt70_32*(s4x - 2.0f*s2x); + r9_x[8][4] = x->x_sqrt5_32*(7.0f*c4x - 3.0f - 4.0f*c2x); + r9_x[8][7] = x->x_sqrt10_4*(2.0f*s2x + 7.0f*s4x)*0.125f; + r9_x[8][8] = (9.0f + 20.0f*c2x + 35.0f*c4x)*0.015625f; + + r9_x[0][3] = -r9_x[3][0]; + r9_x[0][4] = r9_x[4][0]; + r9_x[0][7] = -r9_x[7][0]; + r9_x[0][8] = r9_x[8][0]; + r9_x[1][2] = -r9_x[2][1]; + r9_x[1][5] = r9_x[5][1]; + r9_x[1][6] = -r9_x[6][1]; + r9_x[2][5] = -r9_x[5][2]; + r9_x[2][6] = r9_x[6][2]; + r9_x[3][4] = -r9_x[4][3]; + r9_x[3][7] = r9_x[7][3]; + r9_x[3][8] = -r9_x[8][3]; + r9_x[4][7] = -r9_x[7][4]; + r9_x[4][8] = r9_x[8][4]; + r9_x[5][6] = -r9_x[6][5]; + r9_x[7][8] = -r9_x[8][7]; + + for(j=0; j<8; j+=2) + { + for(i=0; i<8; i+=2) + { + r9_zy[j][i] = r9_z[j][j]*r9_y[j][i]; + r9_zy[j][i+1] = r9_z[j][j+1]*r9_y[j+1][i+1]; + + r9_zy[j+1][i] = r9_z[j+1][j]*r9_y[j][i]; + r9_zy[j+1][i+1] = r9_z[j+1][j+1]*r9_y[j+1][i+1]; + } + r9_zy[j][8] = r9_z[j][j]*r9_y[j][8]; + r9_zy[j+1][8] = r9_z[j+1][j]*r9_y[j][8]; + } + for(i=0; i<=8; i+=2) + { + r9_zy[8][i] = r9_y[8][i]; + } + + at = x->x_at9; + at += 2; + + for(i=0; i<8; i++) + { + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][0] + r9_zy[i][3]*r9_x[3][0] + r9_zy[i][4]*r9_x[4][0] + r9_zy[i][7]*r9_x[7][0] + r9_zy[i][8]*r9_x[8][0])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][1] + r9_zy[i][2]*r9_x[2][1] + r9_zy[i][5]*r9_x[5][1] + r9_zy[i][6]*r9_x[6][1])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][2] + r9_zy[i][2]*r9_x[2][2] + r9_zy[i][5]*r9_x[5][2] + r9_zy[i][6]*r9_x[6][2])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][3] + r9_zy[i][3]*r9_x[3][3] + r9_zy[i][4]*r9_x[4][3] + r9_zy[i][7]*r9_x[7][3] + r9_zy[i][8]*r9_x[8][3])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][4] + r9_zy[i][3]*r9_x[3][4] + r9_zy[i][4]*r9_x[4][4] + r9_zy[i][7]*r9_x[7][4] + r9_zy[i][8]*r9_x[8][4])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][5] + r9_zy[i][2]*r9_x[2][5] + r9_zy[i][5]*r9_x[5][5] + r9_zy[i][6]*r9_x[6][5])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][6] + r9_zy[i][2]*r9_x[2][6] + r9_zy[i][5]*r9_x[5][6] + r9_zy[i][6]*r9_x[6][6])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][7] + r9_zy[i][3]*r9_x[3][7] + r9_zy[i][4]*r9_x[4][7] + r9_zy[i][7]*r9_x[7][7] + r9_zy[i][8]*r9_x[8][7])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][8] + r9_zy[i][3]*r9_x[3][8] + r9_zy[i][4]*r9_x[4][8] + r9_zy[i][7]*r9_x[7][8] + r9_zy[i][8]*r9_x[8][8])); + at++; + } + + SETFLOAT(at, (r9_zy[8][0]*r9_x[0][0] + r9_zy[8][4]*r9_x[4][0] + r9_zy[8][8]*r9_x[8][0])); + at++; + SETFLOAT(at, (r9_zy[8][2]*r9_x[2][1] + r9_zy[8][6]*r9_x[6][1])); + at++; + SETFLOAT(at, (r9_zy[8][2]*r9_x[2][2] + r9_zy[8][6]*r9_x[6][2])); + at++; + SETFLOAT(at, (r9_zy[8][0]*r9_x[0][3] + r9_zy[8][4]*r9_x[4][3] + r9_zy[8][8]*r9_x[8][3])); + at++; + SETFLOAT(at, (r9_zy[8][0]*r9_x[0][4] + r9_zy[8][4]*r9_x[4][4] + r9_zy[8][8]*r9_x[8][4])); + at++; + SETFLOAT(at, (r9_zy[8][2]*r9_x[2][5] + r9_zy[8][6]*r9_x[6][5])); + at++; + SETFLOAT(at, (r9_zy[8][2]*r9_x[2][6] + r9_zy[8][6]*r9_x[6][6])); + at++; + SETFLOAT(at, (r9_zy[8][0]*r9_x[0][7] + r9_zy[8][4]*r9_x[4][7] + r9_zy[8][8]*r9_x[8][7])); + at++; + SETFLOAT(at, (r9_zy[8][0]*r9_x[0][8] + r9_zy[8][4]*r9_x[4][8] + r9_zy[8][8]*r9_x[8][8])); + + outlet_anything(x->x_out9, x->x_s_matrix, x->x_size9, x->x_at9); + } + + r9_z[0][0] = c3z; + r9_z[0][1] = -s3z; + r9_z[1][0] = s3z; + r9_z[1][1] = c3z; + r9_z[2][2] = c2z; + r9_z[2][3] = -s2z; + r9_z[3][2] = s2z; + r9_z[3][3] = c2z; + r9_z[4][4] = cz; + r9_z[4][5] = -sz; + r9_z[5][4] = sz; + r9_z[5][5] = cz; + r9_z[6][6] = 1.0f; + /*y + r7_11=(15*c + c3)/16; + r7_22=(5 + 3*c2)/8; + r7_31 = x->x_sqrt6*(5*s + s3)/16; + r7_33=(5*c + 3*c3)/8; + r7_42 = x->x_sqrt6*(s2)/4; + r7_44=(c2); + r7_51 = x->x_sqrt15*(c - c3)/16; + r7_53 = x->x_sqrt10*(-s + 3*s3)/16; + r7_55=(c + 15*c3)/16; + r7_62 = x->x_sqrt15*(1 - c2)/8; + r7_64 = x->x_sqrt10*(s2)/4; + r7_66=(3 + 5*c2)/8; + r7_71 = x->x_sqrt10*(3*s - s3)/16; + r7_73 = x->x_sqrt15*(c - c3)/8 = 2*r7_51; + r7_75 = x->x_sqrt6*(s + 5*s3)/16; + r7_77=(3*c + 5*c3)/8; + + */ + r9_y[0][0] = (15.0f*cy + c3y)*0.0625f;/* -r7_31y, r7_51y, -r7_71y;*/ + r9_y[1][1] = (5.0f + 3.0f*c2y)*0.125f;/* -r7_42y, r7_62y;*/ + r9_y[2][0] = x->x_sqrt6_4*(5.0f*sy + s3y)*0.25f; + r9_y[2][2] = (5.0f*cy + 3.0f*c3y)*0.125f;/* -r7_53y, r7_73y;*/ + r9_y[3][1] = x->x_sqrt6_4*s2y; + r9_y[3][3] = c2y;/* -r7_64y;*/ + r9_y[6][2] = x->x_sqrt15_8*(cy - c3y); + r9_y[4][0] = r9_y[6][2]*0.5f; + r9_y[4][2] = x->x_sqrt10_4*(3.0f*s3y - sy)*0.25f; + r9_y[4][4] = (cy + 15.0f*c3y)*0.0625f;/* -r7_75y;*/ + r9_y[5][1] = x->x_sqrt15_8*(1.0f - c2y); + r9_y[5][3] = x->x_sqrt10_4*s2y; + r9_y[5][5] = (3.0f + 5.0f*c2y)*0.125f; + r9_y[6][0] = x->x_sqrt10_4*(3.0f*sy - s3y)*0.25f; + + r9_y[6][4] = x->x_sqrt6_4*(sy + 5.0f*s3y)*0.25f; + r9_y[6][6] = (3.0f*cy + 5.0f*c3y)*0.125f; + + r9_y[0][2] = -r9_y[2][0]; + r9_y[0][4] = r9_y[4][0]; + r9_y[0][6] = -r9_y[6][0]; + r9_y[1][3] = -r9_y[3][1]; + r9_y[1][5] = r9_y[5][1]; + r9_y[2][4] = -r9_y[4][2]; + r9_y[2][6] = r9_y[6][2]; + r9_y[3][5] = -r9_y[5][3]; + r9_y[4][6] = -r9_y[6][4]; + + /*x + r7_11=(5 + 3*c2)/8; + r7_22=(15*c + c3)/16; + r7_32 = x->x_sqrt6*(5*s + s3)/16; + r7_33=(5*c + 3*c3)/8; + r7_41 = x->x_sqrt6*(-s2)/4; + r7_44=(c2); + r7_51 = x->x_sqrt15*(-1 + c2)/8; + r7_54 = x->x_sqrt10*(s2)/4; + r7_55=(3 + 5*c2)/8; + r7_62 = x->x_sqrt15*(-c + c3)/16; + r7_63 = x->x_sqrt10*(s - 3*s3)/16; + r7_66=(c + 15*c3)/16; + r7_72 = x->x_sqrt10*(-3*s + s3)/16; + r7_73 = x->x_sqrt15*(-c + c3)/8 = 2*r7_62; + r7_76 = x->x_sqrt6*(s + 5*s3)/16; + r7_77=(3*c + 5*c3)/8; + */ + + r9_x[0][0] = (5.0f + 3.0f*c2x)*0.125f;/* -r7_41, r7_51;*/ + r9_x[1][1] = (15.0f*cx + c3x)*0.0625f;/* -r7_32, r7_62, -r7_72;*/ + r9_x[2][1] = x->x_sqrt6_4*(5.0f*sx + s3x)*0.25f; + r9_x[2][2] = (5.0f*cx + 3.0f*c3x)*0.125f;/* */ + r9_x[3][0] = -x->x_sqrt6_4*s2x; + r9_x[3][3] = c2x; + r9_x[4][0] = x->x_sqrt15_8*(c2x - 1.0f); + r9_x[4][3] = x->x_sqrt10_4*s2x; + r9_x[4][4] = (3.0f + 5.0f*c2x)*0.125f; + r9_x[6][2] = x->x_sqrt15_8*(c3x - cx); + r9_x[5][1] = r9_x[6][2]*0.5f; + r9_x[5][2] = x->x_sqrt10_4*(sx - 3.0f*s3x)*0.25f; + r9_x[5][5] = (cx + 15.0f*c3x)*0.0625f; + r9_x[6][1] = x->x_sqrt10_4*(s3x - 3.0f*sx)*0.25f; + + r9_x[6][5] = x->x_sqrt6_4*(sx + 5.0f*s3x)*0.25f; + r9_x[6][6] = (3.0f*cx + 5.0f*c3x)*0.125f; + + r9_x[0][3] = -r9_x[3][0]; + r9_x[0][4] = r9_x[4][0]; + r9_x[1][2] = -r9_x[2][1]; + r9_x[1][5] = r9_x[5][1]; + r9_x[1][6] = -r9_x[6][1]; + r9_x[2][5] = -r9_x[5][2]; + r9_x[2][6] = r9_x[6][2]; + r9_x[3][4] = -r9_x[4][3]; + r9_x[5][6] = -r9_x[6][5]; + + for(j=0; j<6; j+=2) + { + for(i=0; i<6; i+=2) + { + r9_zy[j][i] = r9_z[j][j]*r9_y[j][i]; + r9_zy[j][i+1] = r9_z[j][j+1]*r9_y[j+1][i+1]; + + r9_zy[j+1][i] = r9_z[j+1][j]*r9_y[j][i]; + r9_zy[j+1][i+1] = r9_z[j+1][j+1]*r9_y[j+1][i+1]; + } + r9_zy[j][6] = r9_z[j][j]*r9_y[j][6]; + r9_zy[j+1][6] = r9_z[j+1][j]*r9_y[j][6]; + } + for(i=0; i<=6; i+=2) + { + r9_zy[6][i] = r9_y[6][i]; + } + + at = x->x_at7; + at += 2; + + for(i=0; i<6; i++) + { + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][0] + r9_zy[i][3]*r9_x[3][0] + r9_zy[i][4]*r9_x[4][0])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][1] + r9_zy[i][2]*r9_x[2][1] + r9_zy[i][5]*r9_x[5][1] + r9_zy[i][6]*r9_x[6][1])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][2] + r9_zy[i][2]*r9_x[2][2] + r9_zy[i][5]*r9_x[5][2] + r9_zy[i][6]*r9_x[6][2])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][3] + r9_zy[i][3]*r9_x[3][3] + r9_zy[i][4]*r9_x[4][3])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][4] + r9_zy[i][3]*r9_x[3][4] + r9_zy[i][4]*r9_x[4][4])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][5] + r9_zy[i][2]*r9_x[2][5] + r9_zy[i][5]*r9_x[5][5] + r9_zy[i][6]*r9_x[6][5])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][6] + r9_zy[i][2]*r9_x[2][6] + r9_zy[i][5]*r9_x[5][6] + r9_zy[i][6]*r9_x[6][6])); + at++; + } + + SETFLOAT(at, (r9_zy[6][0]*r9_x[0][0] + r9_zy[6][4]*r9_x[4][0])); + at++; + SETFLOAT(at, (r9_zy[6][2]*r9_x[2][1] + r9_zy[6][6]*r9_x[6][1])); + at++; + SETFLOAT(at, (r9_zy[6][2]*r9_x[2][2] + r9_zy[6][6]*r9_x[6][2])); + at++; + SETFLOAT(at, (r9_zy[6][0]*r9_x[0][3] + r9_zy[6][4]*r9_x[4][3])); + at++; + SETFLOAT(at, (r9_zy[6][0]*r9_x[0][4] + r9_zy[6][4]*r9_x[4][4])); + at++; + SETFLOAT(at, (r9_zy[6][2]*r9_x[2][5] + r9_zy[6][6]*r9_x[6][5])); + at++; + SETFLOAT(at, (r9_zy[6][2]*r9_x[2][6] + r9_zy[6][6]*r9_x[6][6])); + + outlet_anything(x->x_out7, x->x_s_matrix, x->x_size7, x->x_at7); + } + + r9_z[0][0] = c2z; + r9_z[0][1] = -s2z; + r9_z[1][0] = s2z; + r9_z[1][1] = c2z; + r9_z[2][2] = cz; + r9_z[2][3] = -sz; + r9_z[3][2] = sz; + r9_z[3][3] = cz; + r9_z[4][4] = 1.0f; + /*y + r5_11=(3 + c2)/4; + r5_22=(c); + r5_31 = (s2)/2; + r5_33=(c2); + r5_42 = (s); + r5_44=(c); + r5_51 = x->x_sqrt3*(1 - c2)/4; + r5_53 = x->x_sqrt3*(s2)/2; + r5_55=(1 + 3*c2)/4; + */ + r9_y[0][0] = (3.0f + c2y)*0.25f;/* -r5_31y, r5_51y;*/ + r9_y[1][1] = cy;/* -r5_42y;*/ + r9_y[2][0] = s2y*0.5f; + r9_y[2][2] = c2y;/* -r5_53y;*/ + r9_y[3][1] = sy; + r9_y[3][3] = cy; + r9_y[4][0] = x->x_sqrt3_2*(1.0f - c2y)*0.5f; + r9_y[4][2] = x->x_sqrt3_2*s2y; + r9_y[4][4] = (1.0f + 3.0f*c2y)*0.25f; + + r9_y[0][2] = -r9_y[2][0]; + r9_y[0][4] = r9_y[4][0]; + r9_y[1][3] = -r9_y[3][1]; + r9_y[2][4] = -r9_y[4][2]; + + /*x + r5_11=(3 + c2)/4; + r5_22=(c); + r5_32 = (s); + r5_33=(c); + r5_41 = (-s2)/2; + r5_44=(c2); + r5_51 = x->x_sqrt3*(-1 + c2)/4; + r5_54 = x->x_sqrt3*(s2)/2; + r5_55=(1 + 3*c2)/4; + */ + + r9_x[0][0] = (3.0f + c2x)*0.25f; + r9_x[1][1] = cx; + r9_x[2][1] = sx; + r9_x[2][2] = cx; + r9_x[3][0] = -0.5f*s2x; + r9_x[3][3] = c2x; + r9_x[4][0] = x->x_sqrt3_2*(c2x - 1.0f)*0.5f; + r9_x[4][3] = x->x_sqrt3_2*s2x; + r9_x[4][4] = (1.0f + 3.0f*c2x)*0.25f; + + r9_x[0][3] = -r9_x[3][0]; + r9_x[0][4] = r9_x[4][0]; + r9_x[1][2] = -r9_x[2][1]; + r9_x[3][4] = -r9_x[4][3]; + + for(j=0; j<4; j+=2) + { + for(i=0; i<4; i+=2) + { + r9_zy[j][i] = r9_z[j][j]*r9_y[j][i]; + r9_zy[j][i+1] = r9_z[j][j+1]*r9_y[j+1][i+1]; + + r9_zy[j+1][i] = r9_z[j+1][j]*r9_y[j][i]; + r9_zy[j+1][i+1] = r9_z[j+1][j+1]*r9_y[j+1][i+1]; + } + r9_zy[j][4] = r9_z[j][j]*r9_y[j][4]; + r9_zy[j+1][4] = r9_z[j+1][j]*r9_y[j][4]; + } + for(i=0; i<=4; i+=2) + { + r9_zy[4][i] = r9_y[4][i]; + } + + at = x->x_at5; + at += 2; + + for(i=0; i<4; i++) + { + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][0] + r9_zy[i][3]*r9_x[3][0] + r9_zy[i][4]*r9_x[4][0])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][1] + r9_zy[i][2]*r9_x[2][1])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][2] + r9_zy[i][2]*r9_x[2][2])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][3] + r9_zy[i][3]*r9_x[3][3] + r9_zy[i][4]*r9_x[4][3])); + at++; + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][4] + r9_zy[i][3]*r9_x[3][4] + r9_zy[i][4]*r9_x[4][4])); + at++; + } + + SETFLOAT(at, (r9_zy[4][0]*r9_x[0][0] + r9_zy[4][4]*r9_x[4][0])); + at++; + SETFLOAT(at, (r9_zy[4][2]*r9_x[2][1])); + at++; + SETFLOAT(at, (r9_zy[4][2]*r9_x[2][2])); + at++; + SETFLOAT(at, (r9_zy[4][0]*r9_x[0][3] + r9_zy[4][4]*r9_x[4][3])); + at++; + SETFLOAT(at, (r9_zy[4][0]*r9_x[0][4] + r9_zy[4][4]*r9_x[4][4])); + + outlet_anything(x->x_out5, x->x_s_matrix, x->x_size5, x->x_at5); + } + + r9_z[0][0] = cz; + r9_z[0][1] = -sz; + r9_z[1][0] = sz; + r9_z[1][1] = cz; + r9_z[2][2] = 1.0f; + /*y + r3_11=(c); + r3_22=(1); + r3_31 = (s); + r3_33=(c); + */ + r9_y[0][0] = cy;/* -r3_31y;*/ + r9_y[1][1] = 1.0f; + r9_y[2][0] = sy; + r9_y[2][2] = cy; + + r9_y[0][2] = -r9_y[2][0]; + + /*x + r3_11=(1); + r3_22=(c); + r3_32 = (s); + r3_33=(c); + */ + r9_x[0][0] = 1.0f; + r9_x[1][1] = cx;/* -r3_32x;*/ + r9_x[2][1] = sx; + r9_x[2][2] = cx; + + r9_x[1][2] = -r9_x[2][1]; + + r9_zy[0][0] = cz*r9_y[0][0]; + r9_zy[0][1] = -sz*r9_y[1][1]; + r9_zy[0][2] = cz*r9_y[0][2]; + + r9_zy[1][0] = sz*r9_y[0][0]; + r9_zy[1][1] = cz*r9_y[1][1]; + r9_zy[1][2] = sz*r9_y[0][2]; + + r9_zy[2][0] = r9_y[2][0]; + r9_zy[2][1] = 0.0f; + r9_zy[2][2] = r9_y[2][2]; + + at = x->x_at3; + at += 2; + + for(i=0; i<2; i++) + { + SETFLOAT(at, (r9_zy[i][0]*r9_x[0][0])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][1] + r9_zy[i][2]*r9_x[2][1])); + at++; + SETFLOAT(at, (r9_zy[i][1]*r9_x[1][2] + r9_zy[i][2]*r9_x[2][2])); + at++; + } + + SETFLOAT(at, (r9_zy[2][0]*r9_x[0][0])); + at++; + SETFLOAT(at, (r9_zy[2][2]*r9_x[2][1])); + at++; + SETFLOAT(at, (r9_zy[2][2]*r9_x[2][2])); + + outlet_anything(x->x_out3, x->x_s_matrix, x->x_size3, x->x_at3); +} + +static void ambi_rot_list(t_ambi_rot *x, t_symbol *s, int argc, t_atom *argv) +{ + if(argc == 1) + ambi_rot_float(x, atom_getfloatarg(0, argc, argv));/* = ambi_rot_z(); */ + else if(argc == 2) + ambi_rot_zy(x, atom_getfloatarg(0, argc, argv), atom_getfloatarg(1, argc, argv)); + else if(argc >= 3) + ambi_rot_zyx(x, atom_getfloatarg(0, argc, argv), atom_getfloatarg(1, argc, argv), atom_getfloatarg(2, argc, argv)); +} + +static void ambi_rot_free(t_ambi_rot *x) +{ + if(x->x_size11) + freebytes(x->x_at11, x->x_size11 * sizeof(t_atom)); + if(x->x_size9) + freebytes(x->x_at9, x->x_size9 * sizeof(t_atom)); + if(x->x_size7) + freebytes(x->x_at7, x->x_size7 * sizeof(t_atom)); + if(x->x_size5) + freebytes(x->x_at5, x->x_size5 * sizeof(t_atom)); + if(x->x_size3) + freebytes(x->x_at3, x->x_size3 * sizeof(t_atom)); + if(x->x_size2) + freebytes(x->x_at2, x->x_size2 * sizeof(t_atom)); +} + +static void *ambi_rot_new(t_floatarg forder) +{ + t_ambi_rot *x = (t_ambi_rot *)pd_new(ambi_rot_class); + t_atom *at; + int i=(int)forder; + + if(i < 1) + i = 1; + if(i > 12) + i = 12; + x->x_order = i; + x->x_size2 = 2*2 + 2; + x->x_at2 = (t_atom *)getbytes(x->x_size2 * sizeof(t_atom)); + at = x->x_at2; + SETFLOAT(at, 2.0f); + at++; + SETFLOAT(at, 2.0f); + at++; + for(i=0; i<4; i++) + { + SETFLOAT(at, 0.0f); + at++; + } + x->x_size3 = 3*3 + 2; + x->x_at3 = (t_atom *)getbytes(x->x_size3 * sizeof(t_atom)); + at = x->x_at3; + SETFLOAT(at, 3.0f); + at++; + SETFLOAT(at, 3.0f); + at++; + for(i=0; i<9; i++) + { + SETFLOAT(at, 0.0f); + at++; + } + x->x_out3 = outlet_new(&x->x_obj, &s_list); + if(x->x_order >= 2) + { + x->x_size5 = 5*5 + 2; + x->x_at5 = (t_atom *)getbytes(x->x_size5 * sizeof(t_atom)); + at = x->x_at5; + SETFLOAT(at, 5.0f); + at++; + SETFLOAT(at, 5.0f); + at++; + for(i=0; i<25; i++) + { + SETFLOAT(at, 0.0f); + at++; + } + x->x_out5 = outlet_new(&x->x_obj, &s_list); + } + else + { + x->x_size5 = 0; + x->x_at5 = (t_atom *)0; + } + if(x->x_order >= 3) + { + x->x_size7 = 7*7 + 2; + x->x_at7 = (t_atom *)getbytes(x->x_size7 * sizeof(t_atom)); + at = x->x_at7; + SETFLOAT(at, 7.0f); + at++; + SETFLOAT(at, 7.0f); + at++; + for(i=0; i<49; i++) + { + SETFLOAT(at, 0.0f); + at++; + } + x->x_out7 = outlet_new(&x->x_obj, &s_list); + } + else + { + x->x_size7 = 0; + x->x_at7 = (t_atom *)0; + } + if(x->x_order >= 4) + { + x->x_size9 = 9*9 + 2; + x->x_at9 = (t_atom *)getbytes(x->x_size9 * sizeof(t_atom)); + at = x->x_at9; + SETFLOAT(at, 9.0f); + at++; + SETFLOAT(at, 9.0f); + at++; + for(i=0; i<81; i++) + { + SETFLOAT(at, 0.0f); + at++; + } + x->x_out9 = outlet_new(&x->x_obj, &s_list); + } + else + { + x->x_size9 = 0; + x->x_at9 = (t_atom *)0; + } + + if(x->x_order >= 5) + { + x->x_size11 = 11*11 + 2; + x->x_at11 = (t_atom *)getbytes(x->x_size11 * sizeof(t_atom)); + at = x->x_at11; + SETFLOAT(at, 11.0f); + at++; + SETFLOAT(at, 11.0f); + at++; + for(i=0; i<121; i++) + { + SETFLOAT(at, 0.0f); + at++; + } + x->x_out11 = outlet_new(&x->x_obj, &s_list); + } + else + { + x->x_size11 = 0; + x->x_at11 = (t_atom *)0; + } + + if(x->x_order >= 6) + x->x_out13 = outlet_new(&x->x_obj, &s_list); + + if(x->x_order >= 7) + x->x_out15 = outlet_new(&x->x_obj, &s_list); + + if(x->x_order >= 8) + x->x_out17 = outlet_new(&x->x_obj, &s_list); + + if(x->x_order >= 9) + x->x_out19 = outlet_new(&x->x_obj, &s_list); + + if(x->x_order >= 10) + x->x_out21 = outlet_new(&x->x_obj, &s_list); + + if(x->x_order >= 11) + x->x_out23 = outlet_new(&x->x_obj, &s_list); + + if(x->x_order >= 12) + x->x_out25 = outlet_new(&x->x_obj, &s_list); + + x->x_sqrt2_16 = (float)(sqrt(2.0) / 16.0); + x->x_sqrt3_2 = (float)(sqrt(3.0) / 2.0); + x->x_sqrt5_32 = (float)(sqrt(5.0) / 32.0); + x->x_sqrt6_4 = (float)(sqrt(6.0) / 4.0); + x->x_sqrt7_8 = (float)(sqrt(7.0) / 8.0); + x->x_sqrt10_4 = (float)(sqrt(10.0) / 4.0); + x->x_sqrt14_16 = (float)(sqrt(14.0) / 16.0); + x->x_sqrt15_8 = (float)(sqrt(15.0) / 8.0); + x->x_sqrt35_64 = (float)(sqrt(35.0) / 64.0); + x->x_sqrt70_32 = (float)(sqrt(70.0) / 32.0); + + x->x_pi_over_180 = (float)(4.0 * atan(1.0) / 180.0); + + x->x_s_matrix = gensym("matrix"); + return (x); +} + +void ambi_rot_setup(void) +{ + ambi_rot_class = class_new(gensym("ambi_rot"), (t_newmethod)ambi_rot_new, (t_method)ambi_rot_free, + sizeof(t_ambi_rot), 0, A_DEFFLOAT, 0); + class_addfloat(ambi_rot_class, (t_method)ambi_rot_float); + class_addlist(ambi_rot_class, (t_method)ambi_rot_list); + class_sethelpsymbol(ambi_rot_class, gensym("iemhelp2/help-ambi_rot")); +} -- cgit v1.2.1