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/*
* 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 Tue May 18 13:56:05 EDT 1999 */
#include <ports/fftw-int.h>
#include <ports/fftw.h>
/* Generated by: ./genfft -magic-alignment-check -magic-twiddle-load-all -magic-variables 4 -magic-loopi -hc2hc-backward 9 */
/*
* This function contains 181 FP additions, 120 FP multiplications,
* (or, 129 additions, 68 multiplications, 52 fused multiply/add),
* 43 stack variables, and 72 memory accesses
*/
static const fftw_real K663413948 = FFTW_KONST(+0.663413948168938396205421319635891297216863310);
static const fftw_real K556670399 = FFTW_KONST(+0.556670399226419366452912952047023132968291906);
static const fftw_real K852868531 = FFTW_KONST(+0.852868531952443209628250963940074071936020296);
static const fftw_real K296198132 = FFTW_KONST(+0.296198132726023843175338011893050938967728390);
static const fftw_real K150383733 = FFTW_KONST(+0.150383733180435296639271897612501926072238258);
static const fftw_real K813797681 = FFTW_KONST(+0.813797681349373692844693217248393223289101568);
static const fftw_real K939692620 = FFTW_KONST(+0.939692620785908384054109277324731469936208134);
static const fftw_real K342020143 = FFTW_KONST(+0.342020143325668733044099614682259580763083368);
static const fftw_real K984807753 = FFTW_KONST(+0.984807753012208059366743024589523013670643252);
static const fftw_real K173648177 = FFTW_KONST(+0.173648177666930348851716626769314796000375677);
static const fftw_real K300767466 = FFTW_KONST(+0.300767466360870593278543795225003852144476517);
static const fftw_real K1_705737063 = FFTW_KONST(+1.705737063904886419256501927880148143872040591);
static const fftw_real K642787609 = FFTW_KONST(+0.642787609686539326322643409907263432907559884);
static const fftw_real K766044443 = FFTW_KONST(+0.766044443118978035202392650555416673935832457);
static const fftw_real K1_326827896 = FFTW_KONST(+1.326827896337876792410842639271782594433726619);
static const fftw_real K1_113340798 = FFTW_KONST(+1.113340798452838732905825904094046265936583811);
static const fftw_real K500000000 = FFTW_KONST(+0.500000000000000000000000000000000000000000000);
static const fftw_real K866025403 = FFTW_KONST(+0.866025403784438646763723170752936183471402627);
static const fftw_real K2_000000000 = FFTW_KONST(+2.000000000000000000000000000000000000000000000);
static const fftw_real K1_732050807 = FFTW_KONST(+1.732050807568877293527446341505872366942805254);
/*
* Generator Id's :
* $Id: fhb_9.c,v 1.1.1.1 2002-03-29 14:12:58 pj Exp $
* $Id: fhb_9.c,v 1.1.1.1 2002-03-29 14:12:58 pj Exp $
* $Id: fhb_9.c,v 1.1.1.1 2002-03-29 14:12:58 pj Exp $
*/
void fftw_hc2hc_backward_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 tmp155;
fftw_real tmp183;
fftw_real tmp177;
fftw_real tmp162;
fftw_real tmp165;
fftw_real tmp160;
fftw_real tmp169;
fftw_real tmp180;
fftw_real tmp172;
fftw_real tmp181;
fftw_real tmp161;
fftw_real tmp166;
ASSERT_ALIGNED_DOUBLE();
{
fftw_real tmp176;
fftw_real tmp153;
fftw_real tmp154;
fftw_real tmp174;
fftw_real tmp175;
ASSERT_ALIGNED_DOUBLE();
tmp175 = Y[-3 * iostride];
tmp176 = K1_732050807 * tmp175;
tmp153 = X[0];
tmp154 = X[3 * iostride];
tmp174 = tmp154 - tmp153;
tmp155 = tmp153 + (K2_000000000 * tmp154);
tmp183 = tmp176 - tmp174;
tmp177 = tmp174 + tmp176;
}
{
fftw_real tmp156;
fftw_real tmp159;
fftw_real tmp170;
fftw_real tmp168;
fftw_real tmp167;
fftw_real tmp171;
ASSERT_ALIGNED_DOUBLE();
tmp156 = X[iostride];
tmp162 = Y[-iostride];
{
fftw_real tmp157;
fftw_real tmp158;
fftw_real tmp163;
fftw_real tmp164;
ASSERT_ALIGNED_DOUBLE();
tmp157 = X[4 * iostride];
tmp158 = X[2 * iostride];
tmp159 = tmp157 + tmp158;
tmp170 = K866025403 * (tmp157 - tmp158);
tmp163 = Y[-2 * iostride];
tmp164 = Y[-4 * iostride];
tmp165 = tmp163 - tmp164;
tmp168 = K866025403 * (tmp164 + tmp163);
}
tmp160 = tmp156 + tmp159;
tmp167 = tmp156 - (K500000000 * tmp159);
tmp169 = tmp167 - tmp168;
tmp180 = tmp167 + tmp168;
tmp171 = (K500000000 * tmp165) + tmp162;
tmp172 = tmp170 + tmp171;
tmp181 = tmp171 - tmp170;
}
X[0] = tmp155 + (K2_000000000 * tmp160);
tmp161 = tmp155 - tmp160;
tmp166 = K1_732050807 * (tmp162 - tmp165);
X[6 * iostride] = tmp161 + tmp166;
X[3 * iostride] = tmp161 - tmp166;
{
fftw_real tmp178;
fftw_real tmp173;
fftw_real tmp179;
fftw_real tmp185;
fftw_real tmp182;
fftw_real tmp184;
ASSERT_ALIGNED_DOUBLE();
tmp178 = (K1_113340798 * tmp169) + (K1_326827896 * tmp172);
tmp173 = (K766044443 * tmp169) - (K642787609 * tmp172);
tmp179 = tmp173 + tmp177;
X[iostride] = (K2_000000000 * tmp173) - tmp177;
X[7 * iostride] = tmp178 - tmp179;
X[4 * iostride] = -(tmp178 + tmp179);
tmp185 = (K1_705737063 * tmp180) + (K300767466 * tmp181);
tmp182 = (K173648177 * tmp180) - (K984807753 * tmp181);
tmp184 = tmp183 - tmp182;
X[2 * iostride] = (K2_000000000 * tmp182) + tmp183;
X[8 * iostride] = tmp185 + tmp184;
X[5 * iostride] = tmp184 - tmp185;
}
}
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 tmp45;
fftw_real tmp88;
fftw_real tmp136;
fftw_real tmp61;
fftw_real tmp108;
fftw_real tmp126;
fftw_real tmp50;
fftw_real tmp55;
fftw_real tmp56;
fftw_real tmp102;
fftw_real tmp110;
fftw_real tmp132;
fftw_real tmp138;
fftw_real tmp129;
fftw_real tmp137;
fftw_real tmp95;
fftw_real tmp109;
fftw_real tmp66;
fftw_real tmp71;
fftw_real tmp72;
ASSERT_ALIGNED_DOUBLE();
{
fftw_real tmp41;
fftw_real tmp57;
fftw_real tmp44;
fftw_real tmp106;
fftw_real tmp60;
fftw_real tmp87;
fftw_real tmp86;
fftw_real tmp107;
ASSERT_ALIGNED_DOUBLE();
tmp41 = X[0];
tmp57 = Y[0];
{
fftw_real tmp42;
fftw_real tmp43;
fftw_real tmp58;
fftw_real tmp59;
ASSERT_ALIGNED_DOUBLE();
tmp42 = X[3 * iostride];
tmp43 = Y[-6 * iostride];
tmp44 = tmp42 + tmp43;
tmp106 = K866025403 * (tmp42 - tmp43);
tmp58 = Y[-3 * iostride];
tmp59 = X[6 * iostride];
tmp60 = tmp58 - tmp59;
tmp87 = K866025403 * (tmp58 + tmp59);
}
tmp45 = tmp41 + tmp44;
tmp86 = tmp41 - (K500000000 * tmp44);
tmp88 = tmp86 - tmp87;
tmp136 = tmp86 + tmp87;
tmp61 = tmp57 + tmp60;
tmp107 = tmp57 - (K500000000 * tmp60);
tmp108 = tmp106 + tmp107;
tmp126 = tmp107 - tmp106;
}
{
fftw_real tmp46;
fftw_real tmp49;
fftw_real tmp89;
fftw_real tmp92;
fftw_real tmp62;
fftw_real tmp65;
fftw_real tmp90;
fftw_real tmp93;
fftw_real tmp51;
fftw_real tmp54;
fftw_real tmp96;
fftw_real tmp99;
fftw_real tmp67;
fftw_real tmp70;
fftw_real tmp97;
fftw_real tmp100;
ASSERT_ALIGNED_DOUBLE();
{
fftw_real tmp47;
fftw_real tmp48;
fftw_real tmp63;
fftw_real tmp64;
ASSERT_ALIGNED_DOUBLE();
tmp46 = X[iostride];
tmp47 = X[4 * iostride];
tmp48 = Y[-7 * iostride];
tmp49 = tmp47 + tmp48;
tmp89 = tmp46 - (K500000000 * tmp49);
tmp92 = K866025403 * (tmp47 - tmp48);
tmp62 = Y[-iostride];
tmp63 = Y[-4 * iostride];
tmp64 = X[7 * iostride];
tmp65 = tmp63 - tmp64;
tmp90 = K866025403 * (tmp63 + tmp64);
tmp93 = tmp62 - (K500000000 * tmp65);
}
{
fftw_real tmp52;
fftw_real tmp53;
fftw_real tmp68;
fftw_real tmp69;
ASSERT_ALIGNED_DOUBLE();
tmp51 = X[2 * iostride];
tmp52 = Y[-5 * iostride];
tmp53 = Y[-8 * iostride];
tmp54 = tmp52 + tmp53;
tmp96 = tmp51 - (K500000000 * tmp54);
tmp99 = K866025403 * (tmp52 - tmp53);
tmp67 = Y[-2 * iostride];
tmp68 = X[5 * iostride];
tmp69 = X[8 * iostride];
tmp70 = tmp68 + tmp69;
tmp97 = K866025403 * (tmp68 - tmp69);
tmp100 = tmp67 + (K500000000 * tmp70);
}
tmp50 = tmp46 + tmp49;
tmp55 = tmp51 + tmp54;
tmp56 = tmp50 + tmp55;
{
fftw_real tmp98;
fftw_real tmp101;
fftw_real tmp130;
fftw_real tmp131;
ASSERT_ALIGNED_DOUBLE();
tmp98 = tmp96 + tmp97;
tmp101 = tmp99 + tmp100;
tmp102 = (K173648177 * tmp98) - (K984807753 * tmp101);
tmp110 = (K984807753 * tmp98) + (K173648177 * tmp101);
tmp130 = tmp96 - tmp97;
tmp131 = tmp100 - tmp99;
tmp132 = (K342020143 * tmp130) - (K939692620 * tmp131);
tmp138 = (K939692620 * tmp130) + (K342020143 * tmp131);
}
{
fftw_real tmp127;
fftw_real tmp128;
fftw_real tmp91;
fftw_real tmp94;
ASSERT_ALIGNED_DOUBLE();
tmp127 = tmp93 - tmp92;
tmp128 = tmp89 + tmp90;
tmp129 = (K173648177 * tmp127) + (K984807753 * tmp128);
tmp137 = (K173648177 * tmp128) - (K984807753 * tmp127);
tmp91 = tmp89 - tmp90;
tmp94 = tmp92 + tmp93;
tmp95 = (K766044443 * tmp91) - (K642787609 * tmp94);
tmp109 = (K766044443 * tmp94) + (K642787609 * tmp91);
tmp66 = tmp62 + tmp65;
tmp71 = tmp67 - tmp70;
tmp72 = tmp66 + tmp71;
}
}
X[0] = tmp45 + tmp56;
{
fftw_real tmp76;
fftw_real tmp82;
fftw_real tmp80;
fftw_real tmp84;
ASSERT_ALIGNED_DOUBLE();
{
fftw_real tmp74;
fftw_real tmp75;
fftw_real tmp78;
fftw_real tmp79;
ASSERT_ALIGNED_DOUBLE();
tmp74 = tmp61 - (K500000000 * tmp72);
tmp75 = K866025403 * (tmp50 - tmp55);
tmp76 = tmp74 - tmp75;
tmp82 = tmp75 + tmp74;
tmp78 = tmp45 - (K500000000 * tmp56);
tmp79 = K866025403 * (tmp71 - tmp66);
tmp80 = tmp78 - tmp79;
tmp84 = tmp78 + tmp79;
}
{
fftw_real tmp73;
fftw_real tmp77;
fftw_real tmp81;
fftw_real tmp83;
ASSERT_ALIGNED_DOUBLE();
tmp73 = c_re(W[5]);
tmp77 = c_im(W[5]);
Y[-2 * iostride] = (tmp73 * tmp76) - (tmp77 * tmp80);
X[6 * iostride] = (tmp77 * tmp76) + (tmp73 * tmp80);
tmp81 = c_re(W[2]);
tmp83 = c_im(W[2]);
Y[-5 * iostride] = (tmp81 * tmp82) - (tmp83 * tmp84);
X[3 * iostride] = (tmp83 * tmp82) + (tmp81 * tmp84);
}
}
Y[-8 * iostride] = tmp61 + tmp72;
{
fftw_real tmp115;
fftw_real tmp104;
fftw_real tmp118;
fftw_real tmp119;
fftw_real tmp112;
fftw_real tmp114;
fftw_real tmp103;
fftw_real tmp111;
fftw_real tmp85;
fftw_real tmp105;
ASSERT_ALIGNED_DOUBLE();
tmp115 = K866025403 * (tmp95 - tmp102);
tmp103 = tmp95 + tmp102;
tmp104 = tmp88 + tmp103;
tmp118 = tmp88 - (K500000000 * tmp103);
tmp119 = K866025403 * (tmp110 - tmp109);
tmp111 = tmp109 + tmp110;
tmp112 = tmp108 + tmp111;
tmp114 = tmp108 - (K500000000 * tmp111);
tmp85 = c_re(W[0]);
tmp105 = c_im(W[0]);
X[iostride] = (tmp85 * tmp104) + (tmp105 * tmp112);
Y[-7 * iostride] = (tmp85 * tmp112) - (tmp105 * tmp104);
{
fftw_real tmp122;
fftw_real tmp124;
fftw_real tmp121;
fftw_real tmp123;
ASSERT_ALIGNED_DOUBLE();
tmp122 = tmp115 + tmp114;
tmp124 = tmp118 + tmp119;
tmp121 = c_re(W[3]);
tmp123 = c_im(W[3]);
Y[-4 * iostride] = (tmp121 * tmp122) - (tmp123 * tmp124);
X[4 * iostride] = (tmp123 * tmp122) + (tmp121 * tmp124);
}
{
fftw_real tmp116;
fftw_real tmp120;
fftw_real tmp113;
fftw_real tmp117;
ASSERT_ALIGNED_DOUBLE();
tmp116 = tmp114 - tmp115;
tmp120 = tmp118 - tmp119;
tmp113 = c_re(W[6]);
tmp117 = c_im(W[6]);
Y[-iostride] = (tmp113 * tmp116) - (tmp117 * tmp120);
X[7 * iostride] = (tmp117 * tmp116) + (tmp113 * tmp120);
}
}
{
fftw_real tmp143;
fftw_real tmp134;
fftw_real tmp146;
fftw_real tmp147;
fftw_real tmp140;
fftw_real tmp142;
fftw_real tmp133;
fftw_real tmp139;
fftw_real tmp125;
fftw_real tmp135;
ASSERT_ALIGNED_DOUBLE();
tmp143 = K866025403 * (tmp132 - tmp129);
tmp133 = tmp129 + tmp132;
tmp134 = tmp126 + tmp133;
tmp146 = tmp126 - (K500000000 * tmp133);
tmp147 = K866025403 * (tmp137 + tmp138);
tmp139 = tmp137 - tmp138;
tmp140 = tmp136 + tmp139;
tmp142 = tmp136 - (K500000000 * tmp139);
tmp125 = c_re(W[1]);
tmp135 = c_im(W[1]);
Y[-6 * iostride] = (tmp125 * tmp134) - (tmp135 * tmp140);
X[2 * iostride] = (tmp135 * tmp134) + (tmp125 * tmp140);
{
fftw_real tmp150;
fftw_real tmp152;
fftw_real tmp149;
fftw_real tmp151;
ASSERT_ALIGNED_DOUBLE();
tmp150 = tmp143 + tmp142;
tmp152 = tmp146 + tmp147;
tmp149 = c_re(W[4]);
tmp151 = c_im(W[4]);
X[5 * iostride] = (tmp149 * tmp150) + (tmp151 * tmp152);
Y[-3 * iostride] = (tmp149 * tmp152) - (tmp151 * tmp150);
}
{
fftw_real tmp144;
fftw_real tmp148;
fftw_real tmp141;
fftw_real tmp145;
ASSERT_ALIGNED_DOUBLE();
tmp144 = tmp142 - tmp143;
tmp148 = tmp146 - tmp147;
tmp141 = c_re(W[7]);
tmp145 = c_im(W[7]);
X[8 * iostride] = (tmp141 * tmp144) + (tmp145 * tmp148);
Y[0] = (tmp141 * tmp148) - (tmp145 * tmp144);
}
}
}
if (i == m) {
fftw_real tmp3;
fftw_real tmp33;
fftw_real tmp17;
fftw_real tmp12;
fftw_real tmp11;
fftw_real tmp20;
fftw_real tmp34;
fftw_real tmp7;
fftw_real tmp36;
fftw_real tmp35;
fftw_real tmp23;
fftw_real tmp29;
fftw_real tmp26;
fftw_real tmp37;
fftw_real tmp8;
fftw_real tmp13;
ASSERT_ALIGNED_DOUBLE();
{
fftw_real tmp16;
fftw_real tmp1;
fftw_real tmp2;
fftw_real tmp14;
fftw_real tmp15;
ASSERT_ALIGNED_DOUBLE();
tmp15 = Y[-iostride];
tmp16 = K1_732050807 * tmp15;
tmp1 = X[4 * iostride];
tmp2 = X[iostride];
tmp14 = tmp2 - tmp1;
tmp3 = tmp1 + (K2_000000000 * tmp2);
tmp33 = tmp14 - tmp16;
tmp17 = tmp14 + tmp16;
}
{
fftw_real tmp4;
fftw_real tmp6;
fftw_real tmp5;
fftw_real tmp24;
fftw_real tmp22;
fftw_real tmp27;
fftw_real tmp18;
fftw_real tmp10;
fftw_real tmp21;
fftw_real tmp19;
fftw_real tmp28;
fftw_real tmp9;
fftw_real tmp25;
ASSERT_ALIGNED_DOUBLE();
tmp4 = X[3 * iostride];
tmp6 = X[2 * iostride];
tmp5 = X[0];
tmp24 = K866025403 * (tmp4 - tmp5);
tmp22 = (K500000000 * (tmp4 + tmp5)) - tmp6;
tmp27 = K866025403 * (tmp6 - tmp5);
tmp18 = (K500000000 * (tmp5 + tmp6)) - tmp4;
tmp9 = Y[0];
tmp12 = Y[-2 * iostride];
tmp10 = Y[-3 * iostride];
tmp11 = tmp9 + tmp10;
tmp21 = K866025403 * (tmp9 - tmp10);
tmp19 = K866025403 * (tmp9 + tmp12);
tmp28 = K500000000 * (tmp12 - tmp9);
tmp20 = tmp18 + tmp19;
tmp34 = tmp18 - tmp19;
tmp7 = tmp4 + tmp5 + tmp6;
tmp36 = tmp27 + tmp28 + tmp10;
tmp35 = tmp22 + tmp21;
tmp23 = tmp21 - tmp22;
tmp29 = tmp27 - (tmp28 + tmp10);
tmp25 = K500000000 * tmp11;
tmp26 = tmp24 - tmp25 - tmp12;
tmp37 = (tmp24 + tmp12) + tmp25;
}
X[0] = tmp3 + (K2_000000000 * tmp7);
tmp8 = tmp7 - tmp3;
tmp13 = K1_732050807 * (tmp11 - tmp12);
X[3 * iostride] = tmp8 - tmp13;
X[6 * iostride] = -(tmp8 + tmp13);
{
fftw_real tmp32;
fftw_real tmp30;
fftw_real tmp31;
fftw_real tmp40;
fftw_real tmp38;
fftw_real tmp39;
ASSERT_ALIGNED_DOUBLE();
tmp32 = (K813797681 * tmp26) + (K150383733 * tmp29) - (K296198132 * tmp23) - (K852868531 * tmp20);
tmp30 = (K173648177 * tmp20) + (K939692620 * tmp23) + (K342020143 * tmp26) + (K984807753 * tmp29);
tmp31 = tmp17 - (K500000000 * tmp30);
X[2 * iostride] = -(tmp17 + tmp30);
X[8 * iostride] = tmp32 - tmp31;
X[5 * iostride] = tmp31 + tmp32;
tmp40 = (K556670399 * tmp34) + (K663413948 * tmp36) - (K150383733 * tmp37) - (K852868531 * tmp35);
tmp38 = (K766044443 * tmp34) + (K173648177 * tmp35) - (K642787609 * tmp36) - (K984807753 * tmp37);
tmp39 = (K500000000 * tmp38) - tmp33;
X[iostride] = tmp33 + tmp38;
X[7 * iostride] = tmp40 - tmp39;
X[4 * iostride] = tmp39 + tmp40;
}
}
}
static const int twiddle_order[] =
{1, 2, 3, 4, 5, 6, 7, 8};
fftw_codelet_desc fftw_hc2hc_backward_9_desc =
{
"fftw_hc2hc_backward_9",
(void (*)()) fftw_hc2hc_backward_9,
9,
FFTW_BACKWARD,
FFTW_HC2HC,
212,
8,
twiddle_order,
};