/*
* Copyright (c) 1997-1999 Massachusetts Institute of Technology
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
/* This file was automatically generated --- DO NOT EDIT */
/* Generated on Sun Nov 7 20:44:48 EST 1999 */
#include <fftw-int.h>
#include <fftw.h>
/* Generated by: ./genfft -magic-alignment-check -magic-twiddle-load-all -magic-variables 4 -magic-loopi -hc2hc-forward 9 */
/*
* This function contains 188 FP additions, 136 FP multiplications,
* (or, 139 additions, 87 multiplications, 49 fused multiply/add),
* 35 stack variables, and 72 memory accesses
*/
static const fftw_real K250000000 = FFTW_KONST(+0.250000000000000000000000000000000000000000000);
static const fftw_real K433012701 = FFTW_KONST(+0.433012701892219323381861585376468091735701313);
static const fftw_real K1_532088886 = FFTW_KONST(+1.532088886237956070404785301110833347871664914);
static const fftw_real K1_879385241 = FFTW_KONST(+1.879385241571816768108218554649462939872416269);
static const fftw_real K347296355 = FFTW_KONST(+0.347296355333860697703433253538629592000751354);
static const fftw_real K1_285575219 = FFTW_KONST(+1.285575219373078652645286819814526865815119768);
static const fftw_real K684040286 = FFTW_KONST(+0.684040286651337466088199229364519161526166735);
static const fftw_real K1_969615506 = FFTW_KONST(+1.969615506024416118733486049179046027341286503);
static const fftw_real K342020143 = FFTW_KONST(+0.342020143325668733044099614682259580763083368);
static const fftw_real K813797681 = FFTW_KONST(+0.813797681349373692844693217248393223289101568);
static const fftw_real K939692620 = FFTW_KONST(+0.939692620785908384054109277324731469936208134);
static const fftw_real K296198132 = FFTW_KONST(+0.296198132726023843175338011893050938967728390);
static const fftw_real K852868531 = FFTW_KONST(+0.852868531952443209628250963940074071936020296);
static const fftw_real K173648177 = FFTW_KONST(+0.173648177666930348851716626769314796000375677);
static const fftw_real K556670399 = FFTW_KONST(+0.556670399226419366452912952047023132968291906);
static const fftw_real K766044443 = FFTW_KONST(+0.766044443118978035202392650555416673935832457);
static const fftw_real K984807753 = FFTW_KONST(+0.984807753012208059366743024589523013670643252);
static const fftw_real K150383733 = FFTW_KONST(+0.150383733180435296639271897612501926072238258);
static const fftw_real K642787609 = FFTW_KONST(+0.642787609686539326322643409907263432907559884);
static const fftw_real K663413948 = FFTW_KONST(+0.663413948168938396205421319635891297216863310);
static const fftw_real K866025403 = FFTW_KONST(+0.866025403784438646763723170752936183471402627);
static const fftw_real K500000000 = FFTW_KONST(+0.500000000000000000000000000000000000000000000);
/*
* Generator Id's :
* $Id: fhf_9.c,v 1.1.1.1 2006/05/12 15:14:48 veplaini Exp $
* $Id: fhf_9.c,v 1.1.1.1 2006/05/12 15:14:48 veplaini Exp $
* $Id: fhf_9.c,v 1.1.1.1 2006/05/12 15:14:48 veplaini Exp $
*/
void fftw_hc2hc_forward_9(fftw_real *A, const fftw_complex *W, int iostride, int m, int dist)
{
int i;
fftw_real *X;
fftw_real *Y;
X = A;
Y = A + (9 * iostride);
{
fftw_real tmp136;
fftw_real tmp150;
fftw_real tmp155;
fftw_real tmp154;
fftw_real tmp139;
fftw_real tmp162;
fftw_real tmp145;
fftw_real tmp153;
fftw_real tmp156;
fftw_real tmp137;
fftw_real tmp138;
fftw_real tmp140;
fftw_real tmp151;
ASSERT_ALIGNED_DOUBLE;
tmp136 = X[0];
{
fftw_real tmp146;
fftw_real tmp147;
fftw_real tmp148;
fftw_real tmp149;
ASSERT_ALIGNED_DOUBLE;
tmp146 = X[2 * iostride];
tmp147 = X[5 * iostride];
tmp148 = X[8 * iostride];
tmp149 = tmp147 + tmp148;
tmp150 = tmp146 + tmp149;
tmp155 = tmp146 - (K500000000 * tmp149);
tmp154 = tmp148 - tmp147;
}
tmp137 = X[3 * iostride];
tmp138 = X[6 * iostride];
tmp139 = tmp137 + tmp138;
tmp162 = tmp138 - tmp137;
{
fftw_real tmp141;
fftw_real tmp142;
fftw_real tmp143;
fftw_real tmp144;
ASSERT_ALIGNED_DOUBLE;
tmp141 = X[iostride];
tmp142 = X[4 * iostride];
tmp143 = X[7 * iostride];
tmp144 = tmp142 + tmp143;
tmp145 = tmp141 + tmp144;
tmp153 = tmp141 - (K500000000 * tmp144);
tmp156 = tmp143 - tmp142;
}
Y[-3 * iostride] = K866025403 * (tmp150 - tmp145);
tmp140 = tmp136 + tmp139;
tmp151 = tmp145 + tmp150;
X[3 * iostride] = tmp140 - (K500000000 * tmp151);
X[0] = tmp140 + tmp151;
{
fftw_real tmp164;
fftw_real tmp160;
fftw_real tmp161;
fftw_real tmp163;
fftw_real tmp152;
fftw_real tmp157;
fftw_real tmp158;
fftw_real tmp159;
ASSERT_ALIGNED_DOUBLE;
tmp164 = K866025403 * tmp162;
tmp160 = (K663413948 * tmp156) - (K642787609 * tmp153);
tmp161 = (K150383733 * tmp154) - (K984807753 * tmp155);
tmp163 = tmp160 + tmp161;
tmp152 = tmp136 - (K500000000 * tmp139);
tmp157 = (K766044443 * tmp153) + (K556670399 * tmp156);
tmp158 = (K173648177 * tmp155) + (K852868531 * tmp154);
tmp159 = tmp157 + tmp158;
X[iostride] = tmp152 + tmp159;
X[4 * iostride] = tmp152 + (K866025403 * (tmp160 - tmp161)) - (K500000000 * tmp159);
X[2 * iostride] = tmp152 + (K173648177 * tmp153) - (K296198132 * tmp154) - (K939692620 * tmp155) - (K852868531 * tmp156);
Y[-iostride] = tmp164 + tmp163;
Y[-4 * iostride] = (K866025403 * (tmp162 + (tmp158 - tmp157))) - (K500000000 * tmp163);
Y[-2 * iostride] = (K813797681 * tmp154) - (K342020143 * tmp155) - (K150383733 * tmp156) - (K984807753 * tmp153) - tmp164;
}
}
X = X + dist;
Y = Y - dist;
for (i = 2; i < m; i = i + 2, X = X + dist, Y = Y - dist, W = W + 8) {
fftw_real tmp24;
fftw_real tmp122;
fftw_real tmp75;
fftw_real tmp121;
fftw_real tmp128;
fftw_real tmp127;
fftw_real tmp35;
fftw_real tmp72;
fftw_real tmp70;
fftw_real tmp92;
fftw_real tmp109;
fftw_real tmp118;
fftw_real tmp97;
fftw_real tmp108;
fftw_real tmp53;
fftw_real tmp81;
fftw_real tmp105;
fftw_real tmp117;
fftw_real tmp86;
fftw_real tmp106;
ASSERT_ALIGNED_DOUBLE;
{
fftw_real tmp29;
fftw_real tmp73;
fftw_real tmp34;
fftw_real tmp74;
ASSERT_ALIGNED_DOUBLE;
tmp24 = X[0];
tmp122 = Y[-8 * iostride];
{
fftw_real tmp26;
fftw_real tmp28;
fftw_real tmp25;
fftw_real tmp27;
ASSERT_ALIGNED_DOUBLE;
tmp26 = X[3 * iostride];
tmp28 = Y[-5 * iostride];
tmp25 = c_re(W[2]);
tmp27 = c_im(W[2]);
tmp29 = (tmp25 * tmp26) - (tmp27 * tmp28);
tmp73 = (tmp27 * tmp26) + (tmp25 * tmp28);
}
{
fftw_real tmp31;
fftw_real tmp33;
fftw_real tmp30;
fftw_real tmp32;
ASSERT_ALIGNED_DOUBLE;
tmp31 = X[6 * iostride];
tmp33 = Y[-2 * iostride];
tmp30 = c_re(W[5]);
tmp32 = c_im(W[5]);
tmp34 = (tmp30 * tmp31) - (tmp32 * tmp33);
tmp74 = (tmp32 * tmp31) + (tmp30 * tmp33);
}
tmp75 = K866025403 * (tmp73 - tmp74);
tmp121 = tmp73 + tmp74;
tmp128 = tmp122 - (K500000000 * tmp121);
tmp127 = K866025403 * (tmp34 - tmp29);
tmp35 = tmp29 + tmp34;
tmp72 = tmp24 - (K500000000 * tmp35);
}
{
fftw_real tmp58;
fftw_real tmp94;
fftw_real tmp63;
fftw_real tmp89;
fftw_real tmp68;
fftw_real tmp90;
fftw_real tmp69;
fftw_real tmp95;
ASSERT_ALIGNED_DOUBLE;
{
fftw_real tmp55;
fftw_real tmp57;
fftw_real tmp54;
fftw_real tmp56;
ASSERT_ALIGNED_DOUBLE;
tmp55 = X[2 * iostride];
tmp57 = Y[-6 * iostride];
tmp54 = c_re(W[1]);
tmp56 = c_im(W[1]);
tmp58 = (tmp54 * tmp55) - (tmp56 * tmp57);
tmp94 = (tmp56 * tmp55) + (tmp54 * tmp57);
}
{
fftw_real tmp60;
fftw_real tmp62;
fftw_real tmp59;
fftw_real tmp61;
ASSERT_ALIGNED_DOUBLE;
tmp60 = X[5 * iostride];
tmp62 = Y[-3 * iostride];
tmp59 = c_re(W[4]);
tmp61 = c_im(W[4]);
tmp63 = (tmp59 * tmp60) - (tmp61 * tmp62);
tmp89 = (tmp61 * tmp60) + (tmp59 * tmp62);
}
{
fftw_real tmp65;
fftw_real tmp67;
fftw_real tmp64;
fftw_real tmp66;
ASSERT_ALIGNED_DOUBLE;
tmp65 = X[8 * iostride];
tmp67 = Y[0];
tmp64 = c_re(W[7]);
tmp66 = c_im(W[7]);
tmp68 = (tmp64 * tmp65) - (tmp66 * tmp67);
tmp90 = (tmp66 * tmp65) + (tmp64 * tmp67);
}
tmp69 = tmp63 + tmp68;
tmp95 = tmp89 + tmp90;
{
fftw_real tmp88;
fftw_real tmp91;
fftw_real tmp93;
fftw_real tmp96;
ASSERT_ALIGNED_DOUBLE;
tmp70 = tmp58 + tmp69;
tmp88 = tmp58 - (K500000000 * tmp69);
tmp91 = K866025403 * (tmp89 - tmp90);
tmp92 = tmp88 + tmp91;
tmp109 = tmp88 - tmp91;
tmp118 = tmp94 + tmp95;
tmp93 = K866025403 * (tmp68 - tmp63);
tmp96 = tmp94 - (K500000000 * tmp95);
tmp97 = tmp93 + tmp96;
tmp108 = tmp96 - tmp93;
}
}
{
fftw_real tmp41;
fftw_real tmp83;
fftw_real tmp46;
fftw_real tmp78;
fftw_real tmp51;
fftw_real tmp79;
fftw_real tmp52;
fftw_real tmp84;
ASSERT_ALIGNED_DOUBLE;
{
fftw_real tmp38;
fftw_real tmp40;
fftw_real tmp37;
fftw_real tmp39;
ASSERT_ALIGNED_DOUBLE;
tmp38 = X[iostride];
tmp40 = Y[-7 * iostride];
tmp37 = c_re(W[0]);
tmp39 = c_im(W[0]);
tmp41 = (tmp37 * tmp38) - (tmp39 * tmp40);
tmp83 = (tmp39 * tmp38) + (tmp37 * tmp40);
}
{
fftw_real tmp43;
fftw_real tmp45;
fftw_real tmp42;
fftw_real tmp44;
ASSERT_ALIGNED_DOUBLE;
tmp43 = X[4 * iostride];
tmp45 = Y[-4 * iostride];
tmp42 = c_re(W[3]);
tmp44 = c_im(W[3]);
tmp46 = (tmp42 * tmp43) - (tmp44 * tmp45);
tmp78 = (tmp44 * tmp43) + (tmp42 * tmp45);
}
{
fftw_real tmp48;
fftw_real tmp50;
fftw_real tmp47;
fftw_real tmp49;
ASSERT_ALIGNED_DOUBLE;
tmp48 = X[7 * iostride];
tmp50 = Y[-iostride];
tmp47 = c_re(W[6]);
tmp49 = c_im(W[6]);
tmp51 = (tmp47 * tmp48) - (tmp49 * tmp50);
tmp79 = (tmp49 * tmp48) + (tmp47 * tmp50);
}
tmp52 = tmp46 + tmp51;
tmp84 = tmp78 + tmp79;
{
fftw_real tmp77;
fftw_real tmp80;
fftw_real tmp82;
fftw_real tmp85;
ASSERT_ALIGNED_DOUBLE;
tmp53 = tmp41 + tmp52;
tmp77 = tmp41 - (K500000000 * tmp52);
tmp80 = K866025403 * (tmp78 - tmp79);
tmp81 = tmp77 + tmp80;
tmp105 = tmp77 - tmp80;
tmp117 = tmp83 + tmp84;
tmp82 = K866025403 * (tmp51 - tmp46);
tmp85 = tmp83 - (K500000000 * tmp84);
tmp86 = tmp82 + tmp85;
tmp106 = tmp85 - tmp82;
}
}
{
fftw_real tmp119;
fftw_real tmp36;
fftw_real tmp71;
fftw_real tmp116;
ASSERT_ALIGNED_DOUBLE;
tmp119 = K866025403 * (tmp117 - tmp118);
tmp36 = tmp24 + tmp35;
tmp71 = tmp53 + tmp70;
tmp116 = tmp36 - (K500000000 * tmp71);
X[0] = tmp36 + tmp71;
X[3 * iostride] = tmp116 + tmp119;
Y[-6 * iostride] = tmp116 - tmp119;
}
{
fftw_real tmp125;
fftw_real tmp120;
fftw_real tmp123;
fftw_real tmp124;
ASSERT_ALIGNED_DOUBLE;
tmp125 = K866025403 * (tmp70 - tmp53);
tmp120 = tmp117 + tmp118;
tmp123 = tmp121 + tmp122;
tmp124 = tmp123 - (K500000000 * tmp120);
Y[0] = tmp120 + tmp123;
Y[-3 * iostride] = tmp125 + tmp124;
X[6 * iostride] = -(tmp124 - tmp125);
}
{
fftw_real tmp76;
fftw_real tmp129;
fftw_real tmp99;
fftw_real tmp131;
fftw_real tmp103;
fftw_real tmp126;
fftw_real tmp100;
fftw_real tmp130;
ASSERT_ALIGNED_DOUBLE;
tmp76 = tmp72 + tmp75;
tmp129 = tmp127 + tmp128;
{
fftw_real tmp87;
fftw_real tmp98;
fftw_real tmp101;
fftw_real tmp102;
ASSERT_ALIGNED_DOUBLE;
tmp87 = (K766044443 * tmp81) + (K642787609 * tmp86);
tmp98 = (K173648177 * tmp92) + (K984807753 * tmp97);
tmp99 = tmp87 + tmp98;
tmp131 = K866025403 * (tmp98 - tmp87);
tmp101 = (K766044443 * tmp86) - (K642787609 * tmp81);
tmp102 = (K173648177 * tmp97) - (K984807753 * tmp92);
tmp103 = K866025403 * (tmp101 - tmp102);
tmp126 = tmp101 + tmp102;
}
X[iostride] = tmp76 + tmp99;
tmp100 = tmp76 - (K500000000 * tmp99);
Y[-7 * iostride] = tmp100 - tmp103;
X[4 * iostride] = tmp100 + tmp103;
Y[-iostride] = tmp126 + tmp129;
tmp130 = tmp129 - (K500000000 * tmp126);
X[7 * iostride] = -(tmp130 - tmp131);
Y[-4 * iostride] = tmp131 + tmp130;
}
{
fftw_real tmp104;
fftw_real tmp133;
fftw_real tmp111;
fftw_real tmp132;
fftw_real tmp115;
fftw_real tmp134;
fftw_real tmp112;
fftw_real tmp135;
ASSERT_ALIGNED_DOUBLE;
tmp104 = tmp72 - tmp75;
tmp133 = tmp128 - tmp127;
{
fftw_real tmp107;
fftw_real tmp110;
fftw_real tmp113;
fftw_real tmp114;
ASSERT_ALIGNED_DOUBLE;
tmp107 = (K173648177 * tmp105) + (K984807753 * tmp106);
tmp110 = (K342020143 * tmp108) - (K939692620 * tmp109);
tmp111 = tmp107 + tmp110;
tmp132 = K866025403 * (tmp110 - tmp107);
tmp113 = (K173648177 * tmp106) - (K984807753 * tmp105);
tmp114 = (K342020143 * tmp109) + (K939692620 * tmp108);
tmp115 = K866025403 * (tmp113 + tmp114);
tmp134 = tmp113 - tmp114;
}
X[2 * iostride] = tmp104 + tmp111;
tmp112 = tmp104 - (K500000000 * tmp111);
Y[-8 * iostride] = tmp112 - tmp115;
Y[-5 * iostride] = tmp112 + tmp115;
Y[-2 * iostride] = tmp134 + tmp133;
tmp135 = tmp133 - (K500000000 * tmp134);
X[5 * iostride] = -(tmp132 + tmp135);
X[8 * iostride] = -(tmp135 - tmp132);
}
}
if (i == m) {
fftw_real tmp12;
fftw_real tmp18;
fftw_real tmp4;
fftw_real tmp7;
fftw_real tmp10;
fftw_real tmp9;
fftw_real tmp14;
fftw_real tmp23;
fftw_real tmp16;
fftw_real tmp21;
fftw_real tmp5;
fftw_real tmp8;
fftw_real tmp6;
fftw_real tmp11;
fftw_real tmp22;
fftw_real tmp13;
fftw_real tmp17;
fftw_real tmp20;
fftw_real tmp1;
fftw_real tmp3;
fftw_real tmp2;
fftw_real tmp15;
fftw_real tmp19;
ASSERT_ALIGNED_DOUBLE;
tmp1 = X[0];
tmp3 = X[3 * iostride];
tmp2 = X[6 * iostride];
tmp12 = K866025403 * (tmp3 + tmp2);
tmp18 = tmp1 - (K500000000 * (tmp2 - tmp3));
tmp4 = tmp1 + tmp2 - tmp3;
tmp7 = X[4 * iostride];
tmp10 = X[7 * iostride];
tmp9 = X[iostride];
tmp14 = (K1_969615506 * tmp7) + (K684040286 * tmp9) + (K1_285575219 * tmp10);
tmp23 = (K1_285575219 * tmp9) - (K1_969615506 * tmp10) - (K684040286 * tmp7);
tmp16 = (K347296355 * tmp7) + (K1_879385241 * tmp9) - (K1_532088886 * tmp10);
tmp21 = (K1_879385241 * tmp7) + (K1_532088886 * tmp9) + (K347296355 * tmp10);
tmp5 = X[2 * iostride];
tmp8 = X[5 * iostride];
tmp6 = X[8 * iostride];
tmp11 = tmp8 - (tmp5 + tmp6);
tmp22 = (K1_285575219 * tmp6) - (K684040286 * tmp8) - (K1_969615506 * tmp5);
tmp13 = (K1_285575219 * tmp5) + (K1_969615506 * tmp8) + (K684040286 * tmp6);
tmp17 = (K1_532088886 * tmp5) - (K1_879385241 * tmp6) - (K347296355 * tmp8);
tmp20 = (K347296355 * tmp5) + (K1_879385241 * tmp8) + (K1_532088886 * tmp6);
Y[-iostride] = K866025403 * (tmp11 + tmp7 - (tmp9 + tmp10));
X[iostride] = tmp4 + (K500000000 * (tmp11 + tmp9 + tmp10 - tmp7));
X[4 * iostride] = tmp4 + tmp5 + tmp6 + tmp7 - (tmp8 + tmp9 + tmp10);
X[2 * iostride] = tmp18 + (K433012701 * (tmp22 - tmp23)) + (K250000000 * (tmp21 - tmp20));
Y[-2 * iostride] = tmp12 - (K433012701 * (tmp20 + tmp21)) - (K250000000 * (tmp22 + tmp23));
tmp15 = tmp13 + tmp14;
Y[0] = -(tmp12 + (K500000000 * tmp15));
Y[-3 * iostride] = (K250000000 * tmp15) - (K433012701 * (tmp16 - tmp17)) - tmp12;
tmp19 = tmp17 + tmp16;
X[0] = tmp18 + (K500000000 * tmp19);
X[3 * iostride] = tmp18 + (K433012701 * (tmp13 - tmp14)) - (K250000000 * tmp19);
}
}
static const int twiddle_order[] =
{1, 2, 3, 4, 5, 6, 7, 8};
fftw_codelet_desc fftw_hc2hc_forward_9_desc =
{
"fftw_hc2hc_forward_9",
(void (*)()) fftw_hc2hc_forward_9,
9,
FFTW_FORWARD,
FFTW_HC2HC,
201,
8,
twiddle_order,
};