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-rw-r--r--sndobj/rfftw/fhb_10.c581
1 files changed, 581 insertions, 0 deletions
diff --git a/sndobj/rfftw/fhb_10.c b/sndobj/rfftw/fhb_10.c
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index 0000000..35c615d
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+++ b/sndobj/rfftw/fhb_10.c
@@ -0,0 +1,581 @@
+/*
+ * 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 20:45:15 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-backward 10 */
+
+/*
+ * This function contains 168 FP additions, 90 FP multiplications,
+ * (or, 124 additions, 46 multiplications, 44 fused multiply/add),
+ * 37 stack variables, and 80 memory accesses
+ */
+static const fftw_real K250000000 = FFTW_KONST(+0.250000000000000000000000000000000000000000000);
+static const fftw_real K951056516 = FFTW_KONST(+0.951056516295153572116439333379382143405698634);
+static const fftw_real K587785252 = FFTW_KONST(+0.587785252292473129168705954639072768597652438);
+static const fftw_real K559016994 = FFTW_KONST(+0.559016994374947424102293417182819058860154590);
+static const fftw_real K500000000 = FFTW_KONST(+0.500000000000000000000000000000000000000000000);
+static const fftw_real K1_902113032 = FFTW_KONST(+1.902113032590307144232878666758764286811397268);
+static const fftw_real K1_175570504 = FFTW_KONST(+1.175570504584946258337411909278145537195304875);
+static const fftw_real K2_000000000 = FFTW_KONST(+2.000000000000000000000000000000000000000000000);
+static const fftw_real K1_118033988 = FFTW_KONST(+1.118033988749894848204586834365638117720309180);
+
+/*
+ * Generator Id's :
+ * $Id: fhb_10.c,v 1.1.1.1 2006/05/12 15:15:01 veplaini Exp $
+ * $Id: fhb_10.c,v 1.1.1.1 2006/05/12 15:15:01 veplaini Exp $
+ * $Id: fhb_10.c,v 1.1.1.1 2006/05/12 15:15:01 veplaini Exp $
+ */
+
+void fftw_hc2hc_backward_10(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 + (10 * iostride);
+ {
+ fftw_real tmp155;
+ fftw_real tmp163;
+ fftw_real tmp175;
+ fftw_real tmp183;
+ fftw_real tmp172;
+ fftw_real tmp182;
+ fftw_real tmp162;
+ fftw_real tmp180;
+ fftw_real tmp166;
+ fftw_real tmp167;
+ fftw_real tmp170;
+ fftw_real tmp171;
+ ASSERT_ALIGNED_DOUBLE;
+ {
+ fftw_real tmp153;
+ fftw_real tmp154;
+ fftw_real tmp173;
+ fftw_real tmp174;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp153 = X[0];
+ tmp154 = X[5 * iostride];
+ tmp155 = tmp153 - tmp154;
+ tmp163 = tmp153 + tmp154;
+ tmp173 = Y[-4 * iostride];
+ tmp174 = Y[-iostride];
+ tmp175 = tmp173 - tmp174;
+ tmp183 = tmp173 + tmp174;
+ }
+ tmp170 = Y[-2 * iostride];
+ tmp171 = Y[-3 * iostride];
+ tmp172 = tmp170 - tmp171;
+ tmp182 = tmp170 + tmp171;
+ {
+ fftw_real tmp158;
+ fftw_real tmp164;
+ fftw_real tmp161;
+ fftw_real tmp165;
+ ASSERT_ALIGNED_DOUBLE;
+ {
+ fftw_real tmp156;
+ fftw_real tmp157;
+ fftw_real tmp159;
+ fftw_real tmp160;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp156 = X[2 * iostride];
+ tmp157 = X[3 * iostride];
+ tmp158 = tmp156 - tmp157;
+ tmp164 = tmp156 + tmp157;
+ tmp159 = X[4 * iostride];
+ tmp160 = X[iostride];
+ tmp161 = tmp159 - tmp160;
+ tmp165 = tmp159 + tmp160;
+ }
+ tmp162 = tmp158 + tmp161;
+ tmp180 = K1_118033988 * (tmp158 - tmp161);
+ tmp166 = tmp164 + tmp165;
+ tmp167 = K1_118033988 * (tmp164 - tmp165);
+ }
+ X[5 * iostride] = tmp155 + (K2_000000000 * tmp162);
+ {
+ fftw_real tmp184;
+ fftw_real tmp186;
+ fftw_real tmp181;
+ fftw_real tmp185;
+ fftw_real tmp179;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp184 = (K1_175570504 * tmp182) - (K1_902113032 * tmp183);
+ tmp186 = (K1_902113032 * tmp182) + (K1_175570504 * tmp183);
+ tmp179 = tmp155 - (K500000000 * tmp162);
+ tmp181 = tmp179 - tmp180;
+ tmp185 = tmp179 + tmp180;
+ X[7 * iostride] = tmp181 - tmp184;
+ X[3 * iostride] = tmp181 + tmp184;
+ X[iostride] = tmp185 - tmp186;
+ X[9 * iostride] = tmp185 + tmp186;
+ }
+ X[0] = tmp163 + (K2_000000000 * tmp166);
+ {
+ fftw_real tmp176;
+ fftw_real tmp178;
+ fftw_real tmp169;
+ fftw_real tmp177;
+ fftw_real tmp168;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp176 = (K1_902113032 * tmp172) + (K1_175570504 * tmp175);
+ tmp178 = (K1_902113032 * tmp175) - (K1_175570504 * tmp172);
+ tmp168 = tmp163 - (K500000000 * tmp166);
+ tmp169 = tmp167 + tmp168;
+ tmp177 = tmp168 - tmp167;
+ X[4 * iostride] = tmp169 + tmp176;
+ X[6 * iostride] = tmp169 - tmp176;
+ X[8 * iostride] = tmp177 - tmp178;
+ X[2 * iostride] = tmp177 + tmp178;
+ }
+ }
+ X = X + dist;
+ Y = Y - dist;
+ for (i = 2; i < m; i = i + 2, X = X + dist, Y = Y - dist, W = W + 9) {
+ fftw_real tmp35;
+ fftw_real tmp102;
+ fftw_real tmp77;
+ fftw_real tmp112;
+ fftw_real tmp72;
+ fftw_real tmp73;
+ fftw_real tmp50;
+ fftw_real tmp53;
+ fftw_real tmp123;
+ fftw_real tmp122;
+ fftw_real tmp109;
+ fftw_real tmp131;
+ fftw_real tmp61;
+ fftw_real tmp68;
+ fftw_real tmp80;
+ fftw_real tmp82;
+ fftw_real tmp134;
+ fftw_real tmp133;
+ fftw_real tmp119;
+ fftw_real tmp126;
+ ASSERT_ALIGNED_DOUBLE;
+ {
+ fftw_real tmp33;
+ fftw_real tmp34;
+ fftw_real tmp75;
+ fftw_real tmp76;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp33 = X[0];
+ tmp34 = Y[-5 * iostride];
+ tmp35 = tmp33 + tmp34;
+ tmp102 = tmp33 - tmp34;
+ tmp75 = Y[0];
+ tmp76 = X[5 * iostride];
+ tmp77 = tmp75 - tmp76;
+ tmp112 = tmp75 + tmp76;
+ }
+ {
+ fftw_real tmp38;
+ fftw_real tmp103;
+ fftw_real tmp48;
+ fftw_real tmp107;
+ fftw_real tmp41;
+ fftw_real tmp104;
+ fftw_real tmp45;
+ fftw_real tmp106;
+ ASSERT_ALIGNED_DOUBLE;
+ {
+ fftw_real tmp36;
+ fftw_real tmp37;
+ fftw_real tmp46;
+ fftw_real tmp47;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp36 = X[2 * iostride];
+ tmp37 = Y[-7 * iostride];
+ tmp38 = tmp36 + tmp37;
+ tmp103 = tmp36 - tmp37;
+ tmp46 = Y[-6 * iostride];
+ tmp47 = X[iostride];
+ tmp48 = tmp46 + tmp47;
+ tmp107 = tmp46 - tmp47;
+ }
+ {
+ fftw_real tmp39;
+ fftw_real tmp40;
+ fftw_real tmp43;
+ fftw_real tmp44;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp39 = Y[-8 * iostride];
+ tmp40 = X[3 * iostride];
+ tmp41 = tmp39 + tmp40;
+ tmp104 = tmp39 - tmp40;
+ tmp43 = X[4 * iostride];
+ tmp44 = Y[-9 * iostride];
+ tmp45 = tmp43 + tmp44;
+ tmp106 = tmp43 - tmp44;
+ }
+ {
+ fftw_real tmp42;
+ fftw_real tmp49;
+ fftw_real tmp105;
+ fftw_real tmp108;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp72 = tmp38 - tmp41;
+ tmp73 = tmp45 - tmp48;
+ tmp42 = tmp38 + tmp41;
+ tmp49 = tmp45 + tmp48;
+ tmp50 = tmp42 + tmp49;
+ tmp53 = K559016994 * (tmp42 - tmp49);
+ tmp123 = tmp106 - tmp107;
+ tmp122 = tmp103 - tmp104;
+ tmp105 = tmp103 + tmp104;
+ tmp108 = tmp106 + tmp107;
+ tmp109 = tmp105 + tmp108;
+ tmp131 = K559016994 * (tmp105 - tmp108);
+ }
+ }
+ {
+ fftw_real tmp57;
+ fftw_real tmp113;
+ fftw_real tmp67;
+ fftw_real tmp117;
+ fftw_real tmp60;
+ fftw_real tmp114;
+ fftw_real tmp64;
+ fftw_real tmp116;
+ ASSERT_ALIGNED_DOUBLE;
+ {
+ fftw_real tmp55;
+ fftw_real tmp56;
+ fftw_real tmp65;
+ fftw_real tmp66;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp55 = Y[-2 * iostride];
+ tmp56 = X[7 * iostride];
+ tmp57 = tmp55 - tmp56;
+ tmp113 = tmp55 + tmp56;
+ tmp65 = Y[-iostride];
+ tmp66 = X[6 * iostride];
+ tmp67 = tmp65 - tmp66;
+ tmp117 = tmp65 + tmp66;
+ }
+ {
+ fftw_real tmp58;
+ fftw_real tmp59;
+ fftw_real tmp62;
+ fftw_real tmp63;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp58 = Y[-3 * iostride];
+ tmp59 = X[8 * iostride];
+ tmp60 = tmp58 - tmp59;
+ tmp114 = tmp58 + tmp59;
+ tmp62 = Y[-4 * iostride];
+ tmp63 = X[9 * iostride];
+ tmp64 = tmp62 - tmp63;
+ tmp116 = tmp62 + tmp63;
+ }
+ {
+ fftw_real tmp78;
+ fftw_real tmp79;
+ fftw_real tmp115;
+ fftw_real tmp118;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp61 = tmp57 - tmp60;
+ tmp68 = tmp64 - tmp67;
+ tmp78 = tmp57 + tmp60;
+ tmp79 = tmp64 + tmp67;
+ tmp80 = tmp78 + tmp79;
+ tmp82 = K559016994 * (tmp78 - tmp79);
+ tmp134 = tmp116 + tmp117;
+ tmp133 = tmp113 + tmp114;
+ tmp115 = tmp113 - tmp114;
+ tmp118 = tmp116 - tmp117;
+ tmp119 = tmp115 + tmp118;
+ tmp126 = K559016994 * (tmp115 - tmp118);
+ }
+ }
+ X[0] = tmp35 + tmp50;
+ {
+ fftw_real tmp69;
+ fftw_real tmp91;
+ fftw_real tmp54;
+ fftw_real tmp90;
+ fftw_real tmp95;
+ fftw_real tmp74;
+ fftw_real tmp83;
+ fftw_real tmp94;
+ fftw_real tmp52;
+ fftw_real tmp81;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp69 = (K587785252 * tmp61) - (K951056516 * tmp68);
+ tmp91 = (K951056516 * tmp61) + (K587785252 * tmp68);
+ tmp52 = tmp35 - (K250000000 * tmp50);
+ tmp54 = tmp52 - tmp53;
+ tmp90 = tmp53 + tmp52;
+ tmp95 = (K951056516 * tmp72) + (K587785252 * tmp73);
+ tmp74 = (K587785252 * tmp72) - (K951056516 * tmp73);
+ tmp81 = tmp77 - (K250000000 * tmp80);
+ tmp83 = tmp81 - tmp82;
+ tmp94 = tmp82 + tmp81;
+ {
+ fftw_real tmp70;
+ fftw_real tmp84;
+ fftw_real tmp51;
+ fftw_real tmp71;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp70 = tmp54 - tmp69;
+ tmp84 = tmp74 + tmp83;
+ tmp51 = c_re(W[1]);
+ tmp71 = c_im(W[1]);
+ X[2 * iostride] = (tmp51 * tmp70) + (tmp71 * tmp84);
+ Y[-7 * iostride] = (tmp51 * tmp84) - (tmp71 * tmp70);
+ }
+ {
+ fftw_real tmp86;
+ fftw_real tmp88;
+ fftw_real tmp85;
+ fftw_real tmp87;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp86 = tmp54 + tmp69;
+ tmp88 = tmp83 - tmp74;
+ tmp85 = c_re(W[7]);
+ tmp87 = c_im(W[7]);
+ X[8 * iostride] = (tmp85 * tmp86) + (tmp87 * tmp88);
+ Y[-iostride] = (tmp85 * tmp88) - (tmp87 * tmp86);
+ }
+ {
+ fftw_real tmp92;
+ fftw_real tmp96;
+ fftw_real tmp89;
+ fftw_real tmp93;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp92 = tmp90 + tmp91;
+ tmp96 = tmp94 - tmp95;
+ tmp89 = c_re(W[3]);
+ tmp93 = c_im(W[3]);
+ X[4 * iostride] = (tmp89 * tmp92) + (tmp93 * tmp96);
+ Y[-5 * iostride] = (tmp89 * tmp96) - (tmp93 * tmp92);
+ }
+ {
+ fftw_real tmp98;
+ fftw_real tmp100;
+ fftw_real tmp97;
+ fftw_real tmp99;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp98 = tmp90 - tmp91;
+ tmp100 = tmp95 + tmp94;
+ tmp97 = c_re(W[5]);
+ tmp99 = c_im(W[5]);
+ X[6 * iostride] = (tmp97 * tmp98) + (tmp99 * tmp100);
+ Y[-3 * iostride] = (tmp97 * tmp100) - (tmp99 * tmp98);
+ }
+ }
+ Y[-9 * iostride] = tmp77 + tmp80;
+ {
+ fftw_real tmp110;
+ fftw_real tmp120;
+ fftw_real tmp101;
+ fftw_real tmp111;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp110 = tmp102 + tmp109;
+ tmp120 = tmp112 + tmp119;
+ tmp101 = c_re(W[4]);
+ tmp111 = c_im(W[4]);
+ X[5 * iostride] = (tmp101 * tmp110) + (tmp111 * tmp120);
+ Y[-4 * iostride] = (tmp101 * tmp120) - (tmp111 * tmp110);
+ }
+ {
+ fftw_real tmp124;
+ fftw_real tmp142;
+ fftw_real tmp127;
+ fftw_real tmp143;
+ fftw_real tmp147;
+ fftw_real tmp135;
+ fftw_real tmp132;
+ fftw_real tmp146;
+ fftw_real tmp125;
+ fftw_real tmp130;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp124 = (K587785252 * tmp122) - (K951056516 * tmp123);
+ tmp142 = (K951056516 * tmp122) + (K587785252 * tmp123);
+ tmp125 = tmp112 - (K250000000 * tmp119);
+ tmp127 = tmp125 - tmp126;
+ tmp143 = tmp126 + tmp125;
+ tmp147 = (K951056516 * tmp133) + (K587785252 * tmp134);
+ tmp135 = (K587785252 * tmp133) - (K951056516 * tmp134);
+ tmp130 = tmp102 - (K250000000 * tmp109);
+ tmp132 = tmp130 - tmp131;
+ tmp146 = tmp131 + tmp130;
+ {
+ fftw_real tmp128;
+ fftw_real tmp136;
+ fftw_real tmp121;
+ fftw_real tmp129;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp128 = tmp124 + tmp127;
+ tmp136 = tmp132 - tmp135;
+ tmp121 = c_re(W[6]);
+ tmp129 = c_im(W[6]);
+ Y[-2 * iostride] = (tmp121 * tmp128) - (tmp129 * tmp136);
+ X[7 * iostride] = (tmp129 * tmp128) + (tmp121 * tmp136);
+ }
+ {
+ fftw_real tmp138;
+ fftw_real tmp140;
+ fftw_real tmp137;
+ fftw_real tmp139;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp138 = tmp127 - tmp124;
+ tmp140 = tmp132 + tmp135;
+ tmp137 = c_re(W[2]);
+ tmp139 = c_im(W[2]);
+ Y[-6 * iostride] = (tmp137 * tmp138) - (tmp139 * tmp140);
+ X[3 * iostride] = (tmp139 * tmp138) + (tmp137 * tmp140);
+ }
+ {
+ 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[0]);
+ tmp145 = c_im(W[0]);
+ Y[-8 * iostride] = (tmp141 * tmp144) - (tmp145 * tmp148);
+ X[iostride] = (tmp145 * tmp144) + (tmp141 * tmp148);
+ }
+ {
+ 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[8]);
+ tmp151 = c_im(W[8]);
+ Y[0] = (tmp149 * tmp150) - (tmp151 * tmp152);
+ X[9 * iostride] = (tmp151 * tmp150) + (tmp149 * tmp152);
+ }
+ }
+ }
+ if (i == m) {
+ fftw_real tmp1;
+ fftw_real tmp24;
+ fftw_real tmp8;
+ fftw_real tmp10;
+ fftw_real tmp25;
+ fftw_real tmp26;
+ fftw_real tmp14;
+ fftw_real tmp28;
+ fftw_real tmp23;
+ fftw_real tmp17;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp1 = X[2 * iostride];
+ tmp24 = Y[-2 * iostride];
+ {
+ fftw_real tmp2;
+ fftw_real tmp3;
+ fftw_real tmp4;
+ fftw_real tmp5;
+ fftw_real tmp6;
+ fftw_real tmp7;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp2 = X[4 * iostride];
+ tmp3 = X[0];
+ tmp4 = tmp2 + tmp3;
+ tmp5 = X[3 * iostride];
+ tmp6 = X[iostride];
+ tmp7 = tmp5 + tmp6;
+ tmp8 = tmp4 + tmp7;
+ tmp10 = K1_118033988 * (tmp7 - tmp4);
+ tmp25 = tmp2 - tmp3;
+ tmp26 = tmp5 - tmp6;
+ }
+ {
+ fftw_real tmp12;
+ fftw_real tmp13;
+ fftw_real tmp22;
+ fftw_real tmp15;
+ fftw_real tmp16;
+ fftw_real tmp21;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp12 = Y[-4 * iostride];
+ tmp13 = Y[0];
+ tmp22 = tmp12 + tmp13;
+ tmp15 = Y[-iostride];
+ tmp16 = Y[-3 * iostride];
+ tmp21 = tmp16 + tmp15;
+ tmp14 = tmp12 - tmp13;
+ tmp28 = K1_118033988 * (tmp21 + tmp22);
+ tmp23 = tmp21 - tmp22;
+ tmp17 = tmp15 - tmp16;
+ }
+ X[0] = K2_000000000 * (tmp1 + tmp8);
+ {
+ fftw_real tmp18;
+ fftw_real tmp19;
+ fftw_real tmp11;
+ fftw_real tmp20;
+ fftw_real tmp9;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp18 = (K1_175570504 * tmp14) - (K1_902113032 * tmp17);
+ tmp19 = (K1_175570504 * tmp17) + (K1_902113032 * tmp14);
+ tmp9 = (K500000000 * tmp8) - (K2_000000000 * tmp1);
+ tmp11 = tmp9 - tmp10;
+ tmp20 = tmp9 + tmp10;
+ X[2 * iostride] = tmp11 + tmp18;
+ X[8 * iostride] = tmp18 - tmp11;
+ X[4 * iostride] = tmp19 - tmp20;
+ X[6 * iostride] = tmp20 + tmp19;
+ }
+ X[5 * iostride] = K2_000000000 * (tmp23 - tmp24);
+ {
+ fftw_real tmp27;
+ fftw_real tmp31;
+ fftw_real tmp30;
+ fftw_real tmp32;
+ fftw_real tmp29;
+ ASSERT_ALIGNED_DOUBLE;
+ tmp27 = (K1_902113032 * tmp25) + (K1_175570504 * tmp26);
+ tmp31 = (K1_902113032 * tmp26) - (K1_175570504 * tmp25);
+ tmp29 = (K500000000 * tmp23) + (K2_000000000 * tmp24);
+ tmp30 = tmp28 + tmp29;
+ tmp32 = tmp29 - tmp28;
+ X[iostride] = -(tmp27 + tmp30);
+ X[9 * iostride] = tmp27 - tmp30;
+ X[3 * iostride] = tmp31 + tmp32;
+ X[7 * iostride] = tmp32 - tmp31;
+ }
+ }
+}
+
+static const int twiddle_order[] =
+{1, 2, 3, 4, 5, 6, 7, 8, 9};
+fftw_codelet_desc fftw_hc2hc_backward_10_desc =
+{
+ "fftw_hc2hc_backward_10",
+ (void (*)()) fftw_hc2hc_backward_10,
+ 10,
+ FFTW_BACKWARD,
+ FFTW_HC2HC,
+ 234,
+ 9,
+ twiddle_order,
+};