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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 #include "ifftw.h"
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22
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23 /* in place square transposition, iterative */
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24 void X(transpose)(R *I, INT n, INT s0, INT s1, INT vl)
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25 {
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26 INT i0, i1, v;
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27
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28 switch (vl) {
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29 case 1:
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30 for (i1 = 1; i1 < n; ++i1) {
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31 for (i0 = 0; i0 < i1; ++i0) {
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32 R x0 = I[i1 * s0 + i0 * s1];
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33 R y0 = I[i1 * s1 + i0 * s0];
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34 I[i1 * s1 + i0 * s0] = x0;
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35 I[i1 * s0 + i0 * s1] = y0;
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36 }
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37 }
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38 break;
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39 case 2:
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40 for (i1 = 1; i1 < n; ++i1) {
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41 for (i0 = 0; i0 < i1; ++i0) {
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42 R x0 = I[i1 * s0 + i0 * s1];
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43 R x1 = I[i1 * s0 + i0 * s1 + 1];
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44 R y0 = I[i1 * s1 + i0 * s0];
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45 R y1 = I[i1 * s1 + i0 * s0 + 1];
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46 I[i1 * s1 + i0 * s0] = x0;
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47 I[i1 * s1 + i0 * s0 + 1] = x1;
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48 I[i1 * s0 + i0 * s1] = y0;
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49 I[i1 * s0 + i0 * s1 + 1] = y1;
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50 }
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51 }
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52 break;
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53 default:
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54 for (i1 = 1; i1 < n; ++i1) {
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55 for (i0 = 0; i0 < i1; ++i0) {
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56 for (v = 0; v < vl; ++v) {
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57 R x0 = I[i1 * s0 + i0 * s1 + v];
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58 R y0 = I[i1 * s1 + i0 * s0 + v];
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59 I[i1 * s1 + i0 * s0 + v] = x0;
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60 I[i1 * s0 + i0 * s1 + v] = y0;
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61 }
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62 }
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63 }
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64 break;
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65 }
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66 }
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67
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68 struct transpose_closure {
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69 R *I;
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70 INT s0, s1, vl, tilesz;
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71 R *buf0, *buf1;
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72 };
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73
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74 static void dotile(INT n0l, INT n0u, INT n1l, INT n1u, void *args)
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75 {
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76 struct transpose_closure *k = (struct transpose_closure *)args;
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77 R *I = k->I;
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78 INT s0 = k->s0, s1 = k->s1, vl = k->vl;
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79 INT i0, i1, v;
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80
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81 switch (vl) {
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82 case 1:
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83 for (i1 = n1l; i1 < n1u; ++i1) {
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84 for (i0 = n0l; i0 < n0u; ++i0) {
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85 R x0 = I[i1 * s0 + i0 * s1];
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86 R y0 = I[i1 * s1 + i0 * s0];
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87 I[i1 * s1 + i0 * s0] = x0;
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88 I[i1 * s0 + i0 * s1] = y0;
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89 }
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90 }
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91 break;
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92 case 2:
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93 for (i1 = n1l; i1 < n1u; ++i1) {
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94 for (i0 = n0l; i0 < n0u; ++i0) {
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95 R x0 = I[i1 * s0 + i0 * s1];
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96 R x1 = I[i1 * s0 + i0 * s1 + 1];
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97 R y0 = I[i1 * s1 + i0 * s0];
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98 R y1 = I[i1 * s1 + i0 * s0 + 1];
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99 I[i1 * s1 + i0 * s0] = x0;
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100 I[i1 * s1 + i0 * s0 + 1] = x1;
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101 I[i1 * s0 + i0 * s1] = y0;
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102 I[i1 * s0 + i0 * s1 + 1] = y1;
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103 }
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104 }
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105 break;
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106 default:
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107 for (i1 = n1l; i1 < n1u; ++i1) {
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108 for (i0 = n0l; i0 < n0u; ++i0) {
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109 for (v = 0; v < vl; ++v) {
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110 R x0 = I[i1 * s0 + i0 * s1 + v];
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111 R y0 = I[i1 * s1 + i0 * s0 + v];
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112 I[i1 * s1 + i0 * s0 + v] = x0;
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113 I[i1 * s0 + i0 * s1 + v] = y0;
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114 }
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115 }
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116 }
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117 }
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118 }
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119
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120 static void dotile_buf(INT n0l, INT n0u, INT n1l, INT n1u, void *args)
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121 {
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122 struct transpose_closure *k = (struct transpose_closure *)args;
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123 X(cpy2d_ci)(k->I + n0l * k->s0 + n1l * k->s1,
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124 k->buf0,
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125 n0u - n0l, k->s0, k->vl,
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126 n1u - n1l, k->s1, k->vl * (n0u - n0l),
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127 k->vl);
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128 X(cpy2d_ci)(k->I + n0l * k->s1 + n1l * k->s0,
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129 k->buf1,
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130 n0u - n0l, k->s1, k->vl,
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131 n1u - n1l, k->s0, k->vl * (n0u - n0l),
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132 k->vl);
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133 X(cpy2d_co)(k->buf1,
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134 k->I + n0l * k->s0 + n1l * k->s1,
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135 n0u - n0l, k->vl, k->s0,
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136 n1u - n1l, k->vl * (n0u - n0l), k->s1,
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137 k->vl);
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138 X(cpy2d_co)(k->buf0,
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139 k->I + n0l * k->s1 + n1l * k->s0,
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140 n0u - n0l, k->vl, k->s1,
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141 n1u - n1l, k->vl * (n0u - n0l), k->s0,
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142 k->vl);
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143 }
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144
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145 static void transpose_rec(R *I, INT n,
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146 void (*f)(INT n0l, INT n0u, INT n1l, INT n1u,
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147 void *args),
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148 struct transpose_closure *k)
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149 {
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150 tail:
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151 if (n > 1) {
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152 INT n2 = n / 2;
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153 k->I = I;
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154 X(tile2d)(0, n2, n2, n, k->tilesz, f, k);
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155 transpose_rec(I, n2, f, k);
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156 I += n2 * (k->s0 + k->s1); n -= n2; goto tail;
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157 }
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158 }
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159
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160 void X(transpose_tiled)(R *I, INT n, INT s0, INT s1, INT vl)
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161 {
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162 struct transpose_closure k;
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163 k.s0 = s0;
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164 k.s1 = s1;
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165 k.vl = vl;
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166 /* two blocks must be in cache, to be swapped */
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167 k.tilesz = X(compute_tilesz)(vl, 2);
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168 k.buf0 = k.buf1 = 0; /* unused */
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169 transpose_rec(I, n, dotile, &k);
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170 }
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171
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172 void X(transpose_tiledbuf)(R *I, INT n, INT s0, INT s1, INT vl)
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173 {
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174 struct transpose_closure k;
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175 /* Assume that the the rows of I conflict into the same cache
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176 lines, and therefore we don't need to reserve cache space for
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177 the input. If the rows don't conflict, there is no reason
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178 to use tiledbuf at all.*/
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179 R buf0[CACHESIZE / (2 * sizeof(R))];
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180 R buf1[CACHESIZE / (2 * sizeof(R))];
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181 k.s0 = s0;
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182 k.s1 = s1;
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183 k.vl = vl;
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184 k.tilesz = X(compute_tilesz)(vl, 2);
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185 k.buf0 = buf0;
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186 k.buf1 = buf1;
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187 A(k.tilesz * k.tilesz * vl * sizeof(R) <= sizeof(buf0));
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188 A(k.tilesz * k.tilesz * vl * sizeof(R) <= sizeof(buf1));
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189 transpose_rec(I, n, dotile_buf, &k);
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190 }
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191
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