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1 /*
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2 * Copyright (c) 2003, 2007-11 Matteo Frigo
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3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
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4 *
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5 * This program is free software; you can redistribute it and/or modify
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6 * it under the terms of the GNU General Public License as published by
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7 * the Free Software Foundation; either version 2 of the License, or
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8 * (at your option) any later version.
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9 *
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10 * This program is distributed in the hope that it will be useful,
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11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 * GNU General Public License for more details.
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14 *
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15 * You should have received a copy of the GNU General Public License
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16 * along with this program; if not, write to the Free Software
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17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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18 *
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19 */
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20
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21 /* express a twiddle problem in terms of dft + multiplication by
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22 twiddle factors */
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23
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24 #include "ct.h"
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25
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26 typedef ct_solver S;
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27
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28 typedef struct {
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29 plan_dftw super;
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30
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31 INT r, rs, m, mb, me, ms, v, vs;
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32
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33 plan *cld;
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34
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35 twid *td;
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36
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37 const S *slv;
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38 int dec;
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39 } P;
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40
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41 static void mktwiddle(P *ego, enum wakefulness wakefulness)
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42 {
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43 static const tw_instr tw[] = { { TW_FULL, 0, 0 }, { TW_NEXT, 1, 0 } };
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44
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45 /* note that R and M are swapped, to allow for sequential
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46 access both to data and twiddles */
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47 X(twiddle_awake)(wakefulness, &ego->td, tw,
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48 ego->r * ego->m, ego->m, ego->r);
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49 }
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50
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51 static void bytwiddle(const P *ego, R *rio, R *iio)
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52 {
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53 INT iv, ir, im;
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54 INT r = ego->r, rs = ego->rs;
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55 INT m = ego->m, mb = ego->mb, me = ego->me, ms = ego->ms;
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56 INT v = ego->v, vs = ego->vs;
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57 const R *W = ego->td->W;
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58
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59 mb += (mb == 0); /* skip m=0 iteration */
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60 for (iv = 0; iv < v; ++iv) {
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61 for (ir = 1; ir < r; ++ir) {
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62 for (im = mb; im < me; ++im) {
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63 R *pr = rio + ms * im + rs * ir;
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64 R *pi = iio + ms * im + rs * ir;
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65 E xr = *pr;
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66 E xi = *pi;
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67 E wr = W[2 * im + (2 * (m-1)) * ir - 2];
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68 E wi = W[2 * im + (2 * (m-1)) * ir - 1];
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69 *pr = xr * wr + xi * wi;
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70 *pi = xi * wr - xr * wi;
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71 }
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72 }
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73 rio += vs;
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74 iio += vs;
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75 }
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76 }
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77
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78 static int applicable(INT irs, INT ors, INT ivs, INT ovs,
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79 const planner *plnr)
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80 {
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81 return (1
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82 && irs == ors
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83 && ivs == ovs
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84 && !NO_SLOWP(plnr)
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85 );
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86 }
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87
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88 static void apply_dit(const plan *ego_, R *rio, R *iio)
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89 {
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90 const P *ego = (const P *) ego_;
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91 plan_dft *cld;
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92 INT dm = ego->ms * ego->mb;
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93
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94 bytwiddle(ego, rio, iio);
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95
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96 cld = (plan_dft *) ego->cld;
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97 cld->apply(ego->cld, rio + dm, iio + dm, rio + dm, iio + dm);
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98 }
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99
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100 static void apply_dif(const plan *ego_, R *rio, R *iio)
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101 {
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102 const P *ego = (const P *) ego_;
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103 plan_dft *cld;
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104 INT dm = ego->ms * ego->mb;
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105
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106 cld = (plan_dft *) ego->cld;
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107 cld->apply(ego->cld, rio + dm, iio + dm, rio + dm, iio + dm);
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108
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109 bytwiddle(ego, rio, iio);
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110 }
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111
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112 static void awake(plan *ego_, enum wakefulness wakefulness)
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113 {
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114 P *ego = (P *) ego_;
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115 X(plan_awake)(ego->cld, wakefulness);
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116 mktwiddle(ego, wakefulness);
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117 }
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118
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119 static void destroy(plan *ego_)
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120 {
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121 P *ego = (P *) ego_;
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122 X(plan_destroy_internal)(ego->cld);
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123 }
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124
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125 static void print(const plan *ego_, printer *p)
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126 {
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127 const P *ego = (const P *) ego_;
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128 p->print(p, "(dftw-generic-%s-%D-%D%v%(%p%))",
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129 ego->dec == DECDIT ? "dit" : "dif",
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130 ego->r, ego->m, ego->v, ego->cld);
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131 }
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132
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133 static plan *mkcldw(const ct_solver *ego_,
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134 INT r, INT irs, INT ors,
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135 INT m, INT ms,
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136 INT v, INT ivs, INT ovs,
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137 INT mstart, INT mcount,
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138 R *rio, R *iio,
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139 planner *plnr)
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140 {
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141 const S *ego = (const S *)ego_;
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142 P *pln;
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143 plan *cld = 0;
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144 INT dm = ms * mstart;
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145
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146 static const plan_adt padt = {
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147 0, awake, print, destroy
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148 };
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149
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150 A(mstart >= 0 && mstart + mcount <= m);
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151 if (!applicable(irs, ors, ivs, ovs, plnr))
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152 return (plan *)0;
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153
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154 cld = X(mkplan_d)(plnr,
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155 X(mkproblem_dft_d)(
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156 X(mktensor_1d)(r, irs, irs),
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157 X(mktensor_2d)(mcount, ms, ms, v, ivs, ivs),
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158 rio + dm, iio + dm, rio + dm, iio + dm)
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159 );
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160 if (!cld) goto nada;
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161
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162 pln = MKPLAN_DFTW(P, &padt, ego->dec == DECDIT ? apply_dit : apply_dif);
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163 pln->slv = ego;
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164 pln->cld = cld;
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165 pln->r = r;
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166 pln->rs = irs;
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167 pln->m = m;
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168 pln->ms = ms;
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169 pln->v = v;
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170 pln->vs = ivs;
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171 pln->mb = mstart;
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172 pln->me = mstart + mcount;
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173 pln->dec = ego->dec;
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174 pln->td = 0;
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175
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176 {
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177 double n0 = (r - 1) * (mcount - 1) * v;
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178 pln->super.super.ops = cld->ops;
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179 pln->super.super.ops.mul += 8 * n0;
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180 pln->super.super.ops.add += 4 * n0;
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181 pln->super.super.ops.other += 8 * n0;
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182 }
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183 return &(pln->super.super);
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184
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185 nada:
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186 X(plan_destroy_internal)(cld);
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187 return (plan *) 0;
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188 }
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189
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190 static void regsolver(planner *plnr, INT r, int dec)
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191 {
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192 S *slv = (S *)X(mksolver_ct)(sizeof(S), r, dec, mkcldw, 0);
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193 REGISTER_SOLVER(plnr, &(slv->super));
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194 if (X(mksolver_ct_hook)) {
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195 slv = (S *)X(mksolver_ct_hook)(sizeof(S), r, dec, mkcldw, 0);
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196 REGISTER_SOLVER(plnr, &(slv->super));
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197 }
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198 }
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199
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200 void X(ct_generic_register)(planner *p)
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201 {
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202 regsolver(p, 0, DECDIT);
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203 regsolver(p, 0, DECDIF);
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204 }
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