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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