[799] | 1 | /*************************************************************************/ |
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| 2 | /* */ |
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| 3 | /* Copyright (c) 1994 Stanford University */ |
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| 4 | /* */ |
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| 5 | /* All rights reserved. */ |
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| 6 | /* */ |
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| 7 | /* Permission is given to use, copy, and modify this software for any */ |
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| 8 | /* non-commercial purpose as long as this copyright notice is not */ |
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| 9 | /* removed. All other uses, including redistribution in whole or in */ |
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| 10 | /* part, are forbidden without prior written permission. */ |
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| 11 | /* */ |
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| 12 | /* This software is provided with absolutely no warranty and no */ |
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| 13 | /* support. */ |
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| 14 | /* */ |
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| 15 | /*************************************************************************/ |
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| 16 | |
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| 17 | /* Does the arakawa jacobian calculation (of the x and y matrices, |
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| 18 | putting the results in the z matrix) for a subblock. */ |
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| 19 | |
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| 20 | #include "decs.h" |
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| 21 | |
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| 22 | //////////////////////////// |
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| 23 | void jacobcalc( double ***x, |
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| 24 | double ***y, |
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| 25 | double ***z, |
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| 26 | long procid, |
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| 27 | long firstrow, |
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| 28 | long lastrow, |
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| 29 | long firstcol, |
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| 30 | long lastcol) |
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| 31 | { |
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| 32 | double f1; |
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| 33 | double f2; |
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| 34 | double f3; |
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| 35 | double f4; |
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| 36 | double f5; |
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| 37 | double f6; |
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| 38 | double f7; |
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| 39 | double f8; |
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| 40 | long iindex; |
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| 41 | long indexp1; |
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| 42 | long indexm1; |
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| 43 | long im1; |
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| 44 | long ip1; |
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| 45 | long i; |
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| 46 | long j; |
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| 47 | long jj; |
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| 48 | double **t2a; |
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| 49 | double **t2b; |
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| 50 | double **t2c; |
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| 51 | double *t1a; |
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| 52 | double *t1b; |
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| 53 | double *t1c; |
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| 54 | double *t1d; |
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| 55 | double *t1e; |
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| 56 | double *t1f; |
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| 57 | double *t1g; |
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| 58 | |
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| 59 | t2a = (double **) z[procid]; |
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| 60 | if ((gps[procid]->neighbors[UP] == -1) && (gps[procid]->neighbors[LEFT] == -1)) |
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| 61 | { |
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| 62 | t2a[0][0] = 0.0; |
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| 63 | } |
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| 64 | if ((gps[procid]->neighbors[DOWN] == -1) && (gps[procid]->neighbors[LEFT] == -1)) |
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| 65 | { |
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| 66 | t2a[im - 1][0] = 0.0; |
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| 67 | } |
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| 68 | if ((gps[procid]->neighbors[UP] == -1) && (gps[procid]->neighbors[RIGHT] == -1)) |
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| 69 | { |
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| 70 | t2a[0][jm - 1] = 0.0; |
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| 71 | } |
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| 72 | if ((gps[procid]->neighbors[DOWN] == -1) && (gps[procid]->neighbors[RIGHT] == -1)) |
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| 73 | { |
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| 74 | t2a[im - 1][jm - 1] = 0.0; |
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| 75 | } |
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| 76 | |
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| 77 | t2a = (double **) x[procid]; |
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| 78 | jj = gps[procid]->neighbors[UPLEFT]; |
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| 79 | if (jj != -1) |
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| 80 | { |
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| 81 | t2a[0][0] = x[jj][im - 2][jm - 2]; |
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| 82 | } |
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| 83 | jj = gps[procid]->neighbors[UPRIGHT]; |
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| 84 | if (jj != -1) |
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| 85 | { |
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| 86 | t2a[0][jm - 1] = x[jj][im - 2][1]; |
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| 87 | } |
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| 88 | jj = gps[procid]->neighbors[DOWNLEFT]; |
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| 89 | if (jj != -1) |
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| 90 | { |
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| 91 | t2a[im - 1][0] = x[jj][1][jm - 2]; |
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| 92 | } |
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| 93 | jj = gps[procid]->neighbors[DOWNRIGHT]; |
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| 94 | if (jj != -1) |
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| 95 | { |
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| 96 | t2a[im - 1][jm - 1] = x[jj][1][1]; |
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| 97 | } |
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| 98 | |
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| 99 | t2a = (double **) y[procid]; |
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| 100 | jj = gps[procid]->neighbors[UPLEFT]; |
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| 101 | if (jj != -1) |
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| 102 | { |
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| 103 | t2a[0][0] = y[jj][im - 2][jm - 2]; |
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| 104 | } |
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| 105 | jj = gps[procid]->neighbors[UPRIGHT]; |
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| 106 | if (jj != -1) |
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| 107 | { |
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| 108 | t2a[0][jm - 1] = y[jj][im - 2][1]; |
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| 109 | } |
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| 110 | jj = gps[procid]->neighbors[DOWNLEFT]; |
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| 111 | if (jj != -1) |
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| 112 | { |
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| 113 | t2a[im - 1][0] = y[jj][1][jm - 2]; |
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| 114 | } |
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| 115 | jj = gps[procid]->neighbors[DOWNRIGHT]; |
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| 116 | if (jj != -1) |
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| 117 | { |
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| 118 | t2a[im - 1][jm - 1] = y[jj][1][1]; |
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| 119 | } |
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| 120 | |
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| 121 | t2a = (double **) x[procid]; |
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| 122 | if (gps[procid]->neighbors[UP] == -1) |
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| 123 | { |
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| 124 | jj = gps[procid]->neighbors[LEFT]; |
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| 125 | if (jj != -1) |
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| 126 | { |
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| 127 | t2a[0][0] = x[jj][0][jm - 2]; |
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| 128 | } |
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| 129 | else |
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| 130 | { |
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| 131 | jj = gps[procid]->neighbors[DOWN]; |
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| 132 | if (jj != -1) |
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| 133 | { |
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| 134 | t2a[im - 1][0] = x[jj][1][0]; |
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| 135 | } |
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| 136 | } |
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| 137 | jj = gps[procid]->neighbors[RIGHT]; |
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| 138 | if (jj != -1) |
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| 139 | { |
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| 140 | t2a[0][jm - 1] = x[jj][0][1]; |
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| 141 | } |
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| 142 | else |
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| 143 | { |
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| 144 | jj = gps[procid]->neighbors[DOWN]; |
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| 145 | if (jj != -1) |
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| 146 | { |
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| 147 | t2a[im - 1][jm - 1] = x[jj][1][jm - 1]; |
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| 148 | } |
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| 149 | } |
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| 150 | } |
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| 151 | else if (gps[procid]->neighbors[DOWN] == -1) |
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| 152 | { |
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| 153 | jj = gps[procid]->neighbors[LEFT]; |
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| 154 | if (jj != -1) { |
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| 155 | t2a[im - 1][0] = x[jj][im - 1][jm - 2]; |
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| 156 | } else { |
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| 157 | jj = gps[procid]->neighbors[UP]; |
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| 158 | if (jj != -1) { |
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| 159 | t2a[0][0] = x[jj][im - 2][0]; |
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| 160 | } |
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| 161 | } |
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| 162 | jj = gps[procid]->neighbors[RIGHT]; |
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| 163 | if (jj != -1) { |
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| 164 | t2a[im - 1][jm - 1] = x[jj][im - 1][1]; |
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| 165 | } else { |
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| 166 | jj = gps[procid]->neighbors[UP]; |
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| 167 | if (jj != -1) { |
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| 168 | t2a[0][jm - 1] = x[jj][im - 2][jm - 1]; |
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| 169 | } |
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| 170 | } |
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| 171 | } else if (gps[procid]->neighbors[LEFT] == -1) { |
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| 172 | jj = gps[procid]->neighbors[UP]; |
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| 173 | if (jj != -1) { |
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| 174 | t2a[0][0] = x[jj][im - 2][0]; |
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| 175 | } |
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| 176 | jj = gps[procid]->neighbors[DOWN]; |
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| 177 | if (jj != -1) { |
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| 178 | t2a[im - 1][0] = x[jj][1][0]; |
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| 179 | } |
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| 180 | } |
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| 181 | else if (gps[procid]->neighbors[RIGHT] == -1) |
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| 182 | { |
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| 183 | jj = gps[procid]->neighbors[UP]; |
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| 184 | if (jj != -1) { |
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| 185 | t2a[0][jm - 1] = x[jj][im - 2][jm - 1]; |
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| 186 | } |
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| 187 | jj = gps[procid]->neighbors[DOWN]; |
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| 188 | if (jj != -1) { |
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| 189 | t2a[im - 1][jm - 1] = x[jj][1][jm - 1]; |
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| 190 | } |
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| 191 | } |
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| 192 | |
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| 193 | t2a = (double **) y[procid]; |
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| 194 | if (gps[procid]->neighbors[UP] == -1) { |
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| 195 | jj = gps[procid]->neighbors[LEFT]; |
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| 196 | if (jj != -1) { |
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| 197 | t2a[0][0] = y[jj][0][jm - 2]; |
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| 198 | } else { |
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| 199 | jj = gps[procid]->neighbors[DOWN]; |
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| 200 | if (jj != -1) { |
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| 201 | t2a[im - 1][0] = y[jj][1][0]; |
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| 202 | } |
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| 203 | } |
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| 204 | jj = gps[procid]->neighbors[RIGHT]; |
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| 205 | if (jj != -1) { |
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| 206 | t2a[0][jm - 1] = y[jj][0][1]; |
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| 207 | } else { |
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| 208 | jj = gps[procid]->neighbors[DOWN]; |
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| 209 | if (jj != -1) { |
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| 210 | t2a[im - 1][jm - 1] = y[jj][1][jm - 1]; |
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| 211 | } |
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| 212 | } |
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| 213 | } else if (gps[procid]->neighbors[DOWN] == -1) { |
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| 214 | jj = gps[procid]->neighbors[LEFT]; |
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| 215 | if (jj != -1) { |
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| 216 | t2a[im - 1][0] = y[jj][im - 1][jm - 2]; |
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| 217 | } else { |
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| 218 | jj = gps[procid]->neighbors[UP]; |
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| 219 | if (jj != -1) { |
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| 220 | t2a[0][0] = y[jj][im - 2][0]; |
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| 221 | } |
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| 222 | } |
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| 223 | jj = gps[procid]->neighbors[RIGHT]; |
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| 224 | if (jj != -1) { |
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| 225 | t2a[im - 1][jm - 1] = y[jj][im - 1][1]; |
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| 226 | } else { |
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| 227 | jj = gps[procid]->neighbors[UP]; |
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| 228 | if (jj != -1) { |
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| 229 | t2a[0][jm - 1] = y[jj][im - 2][jm - 1]; |
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| 230 | } |
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| 231 | } |
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| 232 | } else if (gps[procid]->neighbors[LEFT] == -1) { |
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| 233 | jj = gps[procid]->neighbors[UP]; |
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| 234 | if (jj != -1) { |
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| 235 | t2a[0][0] = y[jj][im - 2][0]; |
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| 236 | } |
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| 237 | jj = gps[procid]->neighbors[DOWN]; |
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| 238 | if (jj != -1) { |
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| 239 | t2a[im - 1][0] = y[jj][1][0]; |
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| 240 | } |
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| 241 | } else if (gps[procid]->neighbors[RIGHT] == -1) { |
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| 242 | jj = gps[procid]->neighbors[UP]; |
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| 243 | if (jj != -1) { |
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| 244 | t2a[0][jm - 1] = y[jj][im - 2][jm - 1]; |
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| 245 | } |
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| 246 | jj = gps[procid]->neighbors[DOWN]; |
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| 247 | if (jj != -1) { |
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| 248 | t2a[im - 1][jm - 1] = y[jj][1][jm - 1]; |
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| 249 | } |
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| 250 | } |
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| 251 | |
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| 252 | j = gps[procid]->neighbors[UP]; |
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| 253 | if (j != -1) { |
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| 254 | t1a = (double *) t2a[0]; |
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| 255 | t1b = (double *) y[j][im - 2]; |
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| 256 | for (i = 1; i <= lastcol; i++) { |
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| 257 | t1a[i] = t1b[i]; |
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| 258 | } |
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| 259 | } |
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| 260 | j = gps[procid]->neighbors[DOWN]; |
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| 261 | if (j != -1) { |
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| 262 | t1a = (double *) t2a[im - 1]; |
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| 263 | t1b = (double *) y[j][1]; |
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| 264 | for (i = 1; i <= lastcol; i++) { |
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| 265 | t1a[i] = t1b[i]; |
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| 266 | } |
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| 267 | } |
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| 268 | j = gps[procid]->neighbors[LEFT]; |
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| 269 | if (j != -1) { |
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| 270 | t2b = (double **) y[j]; |
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| 271 | for (i = 1; i <= lastrow; i++) { |
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| 272 | t2a[i][0] = t2b[i][jm - 2]; |
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| 273 | } |
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| 274 | } |
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| 275 | j = gps[procid]->neighbors[RIGHT]; |
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| 276 | if (j != -1) { |
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| 277 | t2b = (double **) y[j]; |
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| 278 | for (i = 1; i <= lastrow; i++) { |
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| 279 | t2a[i][jm - 1] = t2b[i][1]; |
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| 280 | } |
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| 281 | } |
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| 282 | |
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| 283 | t2a = (double **) x[procid]; |
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| 284 | j = gps[procid]->neighbors[UP]; |
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| 285 | if (j != -1) { |
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| 286 | t1a = (double *) t2a[0]; |
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| 287 | t1b = (double *) x[j][im - 2]; |
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| 288 | for (i = 1; i <= lastcol; i++) { |
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| 289 | t1a[i] = t1b[i]; |
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| 290 | } |
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| 291 | } |
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| 292 | j = gps[procid]->neighbors[DOWN]; |
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| 293 | if (j != -1) { |
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| 294 | t1a = (double *) t2a[im - 1]; |
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| 295 | t1b = (double *) x[j][1]; |
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| 296 | for (i = 1; i <= lastcol; i++) { |
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| 297 | t1a[i] = t1b[i]; |
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| 298 | } |
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| 299 | } |
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| 300 | j = gps[procid]->neighbors[LEFT]; |
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| 301 | if (j != -1) { |
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| 302 | t2b = (double **) x[j]; |
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| 303 | for (i = 1; i <= lastrow; i++) { |
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| 304 | t2a[i][0] = t2b[i][jm - 2]; |
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| 305 | } |
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| 306 | } |
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| 307 | j = gps[procid]->neighbors[RIGHT]; |
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| 308 | if (j != -1) { |
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| 309 | t2b = (double **) x[j]; |
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| 310 | for (i = 1; i <= lastrow; i++) { |
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| 311 | t2a[i][jm - 1] = t2b[i][1]; |
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| 312 | } |
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| 313 | } |
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| 314 | |
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| 315 | t2a = (double **) x[procid]; |
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| 316 | t2b = (double **) y[procid]; |
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| 317 | t2c = (double **) z[procid]; |
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| 318 | for (i = firstrow; i <= lastrow; i++) { |
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| 319 | ip1 = i + 1; |
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| 320 | im1 = i - 1; |
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| 321 | t1a = (double *) t2a[i]; |
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| 322 | t1b = (double *) t2b[i]; |
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| 323 | t1c = (double *) t2c[i]; |
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| 324 | t1d = (double *) t2b[ip1]; |
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| 325 | t1e = (double *) t2b[im1]; |
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| 326 | t1f = (double *) t2a[ip1]; |
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| 327 | t1g = (double *) t2a[im1]; |
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| 328 | for (iindex = firstcol; iindex <= lastcol; iindex++) { |
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| 329 | indexp1 = iindex + 1; |
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| 330 | indexm1 = iindex - 1; |
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| 331 | f1 = (t1b[indexm1] + t1d[indexm1] - t1b[indexp1] - t1d[indexp1]) * (t1f[iindex] - t1a[iindex]); |
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| 332 | f2 = (t1e[indexm1] + t1b[indexm1] - t1e[indexp1] - t1b[indexp1]) * (t1a[iindex] - t1g[iindex]); |
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| 333 | f3 = (t1d[iindex] + t1d[indexp1] - t1e[iindex] - t1e[indexp1]) * (t1a[indexp1] - t1a[iindex]); |
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| 334 | f4 = (t1d[indexm1] + t1d[iindex] - t1e[indexm1] - t1e[iindex]) * (t1a[iindex] - t1a[indexm1]); |
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| 335 | f5 = (t1d[iindex] - t1b[indexp1]) * (t1f[indexp1] - t1a[iindex]); |
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| 336 | f6 = (t1b[indexm1] - t1e[iindex]) * (t1a[iindex] - t1g[indexm1]); |
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| 337 | f7 = (t1b[indexp1] - t1e[iindex]) * (t1g[indexp1] - t1a[iindex]); |
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| 338 | f8 = (t1d[iindex] - t1b[indexm1]) * (t1a[iindex] - t1f[indexm1]); |
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| 339 | |
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| 340 | t1c[iindex] = factjacob * (f1 + f2 + f3 + f4 + f5 + f6 + f7 + f8); |
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| 341 | } |
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| 342 | } |
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| 343 | |
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| 344 | if (gps[procid]->neighbors[UP] == -1) |
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| 345 | { |
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| 346 | t1c = (double *) t2c[0]; |
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| 347 | for (j = firstcol; j <= lastcol; j++) |
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| 348 | { |
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| 349 | t1c[j] = 0.0; |
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| 350 | } |
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| 351 | } |
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| 352 | if (gps[procid]->neighbors[DOWN] == -1) |
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| 353 | { |
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| 354 | t1c = (double *) t2c[im - 1]; |
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| 355 | for (j = firstcol; j <= lastcol; j++) |
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| 356 | { |
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| 357 | t1c[j] = 0.0; |
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| 358 | } |
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| 359 | } |
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| 360 | if (gps[procid]->neighbors[LEFT] == -1) |
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| 361 | { |
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| 362 | for (j = firstrow; j <= lastrow; j++) |
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| 363 | { |
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| 364 | t2c[j][0] = 0.0; |
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| 365 | } |
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| 366 | } |
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| 367 | if (gps[procid]->neighbors[RIGHT] == -1) |
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| 368 | { |
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| 369 | for (j = firstrow; j <= lastrow; j++) |
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| 370 | { |
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| 371 | t2c[j][jm - 1] = 0.0; |
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| 372 | } |
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| 373 | } |
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| 374 | |
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| 375 | } |
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