1 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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2 | ! |
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3 | ! FFTPACK 5.0 |
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4 | ! Copyright (C) 1995-2004, Scientific Computing Division, |
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5 | ! University Corporation for Atmospheric Research |
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6 | ! Licensed under the GNU General Public License (GPL) |
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7 | ! |
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8 | ! Authors: Paul N. Swarztrauber and Richard A. Valent |
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9 | ! |
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10 | ! $Id: mradbg.f,v 1.2 2004/06/15 21:29:20 rodney Exp $ |
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11 | ! |
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12 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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13 | |
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14 | SUBROUTINE MRADBG (M,IDO,IP,L1,IDL1,CC,C1,C2,IM1,IN1, & |
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15 | & CH,CH2,IM2,IN2,WA) |
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16 | REAL CH(IN2,IDO,L1,IP) ,CC(IN1,IDO,IP,L1) , & |
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17 | & C1(IN1,IDO,L1,IP) ,C2(IN1,IDL1,IP), & |
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18 | & CH2(IN2,IDL1,IP) ,WA(IDO) |
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19 | ! |
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20 | M1D = (M-1)*IM1+1 |
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21 | M2S = 1-IM2 |
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22 | TPI=2.*4.*ATAN(1.0) |
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23 | ARG = TPI/FLOAT(IP) |
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24 | DCP = COS(ARG) |
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25 | DSP = SIN(ARG) |
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26 | IDP2 = IDO+2 |
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27 | NBD = (IDO-1)/2 |
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28 | IPP2 = IP+2 |
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29 | IPPH = (IP+1)/2 |
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30 | IF (IDO .LT. L1) GO TO 103 |
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31 | DO 102 K=1,L1 |
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32 | DO 101 I=1,IDO |
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33 | M2 = M2S |
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34 | DO 1001 M1=1,M1D,IM1 |
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35 | M2 = M2+IM2 |
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36 | CH(M2,I,K,1) = CC(M1,I,1,K) |
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37 | 1001 CONTINUE |
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38 | 101 CONTINUE |
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39 | 102 END DO |
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40 | GO TO 106 |
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41 | 103 DO 105 I=1,IDO |
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42 | DO 104 K=1,L1 |
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43 | M2 = M2S |
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44 | DO 1004 M1=1,M1D,IM1 |
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45 | M2 = M2+IM2 |
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46 | CH(M2,I,K,1) = CC(M1,I,1,K) |
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47 | 1004 CONTINUE |
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48 | 104 CONTINUE |
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49 | 105 END DO |
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50 | 106 DO 108 J=2,IPPH |
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51 | JC = IPP2-J |
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52 | J2 = J+J |
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53 | DO 107 K=1,L1 |
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54 | M2 = M2S |
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55 | DO 1007 M1=1,M1D,IM1 |
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56 | M2 = M2+IM2 |
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57 | CH(M2,1,K,J) = CC(M1,IDO,J2-2,K)+CC(M1,IDO,J2-2,K) |
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58 | CH(M2,1,K,JC) = CC(M1,1,J2-1,K)+CC(M1,1,J2-1,K) |
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59 | 1007 CONTINUE |
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60 | 107 CONTINUE |
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61 | 108 END DO |
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62 | IF (IDO .EQ. 1) GO TO 116 |
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63 | IF (NBD .LT. L1) GO TO 112 |
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64 | DO 111 J=2,IPPH |
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65 | JC = IPP2-J |
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66 | DO 110 K=1,L1 |
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67 | DO 109 I=3,IDO,2 |
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68 | IC = IDP2-I |
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69 | M2 = M2S |
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70 | DO 1009 M1=1,M1D,IM1 |
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71 | M2 = M2+IM2 |
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72 | CH(M2,I-1,K,J) = CC(M1,I-1,2*J-1,K)+CC(M1,IC-1,2*J-2,K) |
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73 | CH(M2,I-1,K,JC) = CC(M1,I-1,2*J-1,K)-CC(M1,IC-1,2*J-2,K) |
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74 | CH(M2,I,K,J) = CC(M1,I,2*J-1,K)-CC(M1,IC,2*J-2,K) |
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75 | CH(M2,I,K,JC) = CC(M1,I,2*J-1,K)+CC(M1,IC,2*J-2,K) |
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76 | 1009 CONTINUE |
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77 | 109 CONTINUE |
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78 | 110 CONTINUE |
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79 | 111 END DO |
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80 | GO TO 116 |
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81 | 112 DO 115 J=2,IPPH |
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82 | JC = IPP2-J |
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83 | DO 114 I=3,IDO,2 |
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84 | IC = IDP2-I |
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85 | DO 113 K=1,L1 |
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86 | M2 = M2S |
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87 | DO 1013 M1=1,M1D,IM1 |
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88 | M2 = M2+IM2 |
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89 | CH(M2,I-1,K,J) = CC(M1,I-1,2*J-1,K)+CC(M1,IC-1,2*J-2,K) |
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90 | CH(M2,I-1,K,JC) = CC(M1,I-1,2*J-1,K)-CC(M1,IC-1,2*J-2,K) |
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91 | CH(M2,I,K,J) = CC(M1,I,2*J-1,K)-CC(M1,IC,2*J-2,K) |
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92 | CH(M2,I,K,JC) = CC(M1,I,2*J-1,K)+CC(M1,IC,2*J-2,K) |
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93 | 1013 CONTINUE |
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94 | 113 CONTINUE |
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95 | 114 CONTINUE |
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96 | 115 END DO |
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97 | 116 AR1 = 1. |
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98 | AI1 = 0. |
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99 | DO 120 L=2,IPPH |
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100 | LC = IPP2-L |
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101 | AR1H = DCP*AR1-DSP*AI1 |
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102 | AI1 = DCP*AI1+DSP*AR1 |
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103 | AR1 = AR1H |
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104 | DO 117 IK=1,IDL1 |
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105 | M2 = M2S |
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106 | DO 1017 M1=1,M1D,IM1 |
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107 | M2 = M2+IM2 |
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108 | C2(M1,IK,L) = CH2(M2,IK,1)+AR1*CH2(M2,IK,2) |
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109 | C2(M1,IK,LC) = AI1*CH2(M2,IK,IP) |
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110 | 1017 CONTINUE |
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111 | 117 CONTINUE |
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112 | DC2 = AR1 |
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113 | DS2 = AI1 |
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114 | AR2 = AR1 |
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115 | AI2 = AI1 |
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116 | DO 119 J=3,IPPH |
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117 | JC = IPP2-J |
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118 | AR2H = DC2*AR2-DS2*AI2 |
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119 | AI2 = DC2*AI2+DS2*AR2 |
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120 | AR2 = AR2H |
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121 | DO 118 IK=1,IDL1 |
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122 | M2 = M2S |
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123 | DO 1018 M1=1,M1D,IM1 |
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124 | M2 = M2+IM2 |
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125 | C2(M1,IK,L) = C2(M1,IK,L)+AR2*CH2(M2,IK,J) |
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126 | C2(M1,IK,LC) = C2(M1,IK,LC)+AI2*CH2(M2,IK,JC) |
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127 | 1018 CONTINUE |
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128 | 118 CONTINUE |
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129 | 119 CONTINUE |
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130 | 120 END DO |
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131 | DO 122 J=2,IPPH |
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132 | DO 121 IK=1,IDL1 |
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133 | M2 = M2S |
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134 | DO 1021 M1=1,M1D,IM1 |
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135 | M2 = M2+IM2 |
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136 | CH2(M2,IK,1) = CH2(M2,IK,1)+CH2(M2,IK,J) |
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137 | 1021 CONTINUE |
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138 | 121 CONTINUE |
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139 | 122 END DO |
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140 | DO 124 J=2,IPPH |
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141 | JC = IPP2-J |
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142 | DO 123 K=1,L1 |
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143 | M2 = M2S |
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144 | DO 1023 M1=1,M1D,IM1 |
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145 | M2 = M2+IM2 |
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146 | CH(M2,1,K,J) = C1(M1,1,K,J)-C1(M1,1,K,JC) |
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147 | CH(M2,1,K,JC) = C1(M1,1,K,J)+C1(M1,1,K,JC) |
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148 | 1023 CONTINUE |
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149 | 123 CONTINUE |
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150 | 124 END DO |
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151 | IF (IDO .EQ. 1) GO TO 132 |
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152 | IF (NBD .LT. L1) GO TO 128 |
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153 | DO 127 J=2,IPPH |
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154 | JC = IPP2-J |
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155 | DO 126 K=1,L1 |
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156 | DO 125 I=3,IDO,2 |
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157 | M2 = M2S |
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158 | DO 1025 M1=1,M1D,IM1 |
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159 | M2 = M2+IM2 |
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160 | CH(M2,I-1,K,J) = C1(M1,I-1,K,J)-C1(M1,I,K,JC) |
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161 | CH(M2,I-1,K,JC) = C1(M1,I-1,K,J)+C1(M1,I,K,JC) |
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162 | CH(M2,I,K,J) = C1(M1,I,K,J)+C1(M1,I-1,K,JC) |
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163 | CH(M2,I,K,JC) = C1(M1,I,K,J)-C1(M1,I-1,K,JC) |
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164 | 1025 CONTINUE |
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165 | 125 CONTINUE |
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166 | 126 CONTINUE |
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167 | 127 END DO |
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168 | GO TO 132 |
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169 | 128 DO 131 J=2,IPPH |
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170 | JC = IPP2-J |
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171 | DO 130 I=3,IDO,2 |
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172 | DO 129 K=1,L1 |
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173 | M2 = M2S |
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174 | DO 1029 M1=1,M1D,IM1 |
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175 | M2 = M2+IM2 |
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176 | CH(M2,I-1,K,J) = C1(M1,I-1,K,J)-C1(M1,I,K,JC) |
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177 | CH(M2,I-1,K,JC) = C1(M1,I-1,K,J)+C1(M1,I,K,JC) |
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178 | CH(M2,I,K,J) = C1(M1,I,K,J)+C1(M1,I-1,K,JC) |
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179 | CH(M2,I,K,JC) = C1(M1,I,K,J)-C1(M1,I-1,K,JC) |
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180 | 1029 CONTINUE |
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181 | 129 CONTINUE |
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182 | 130 CONTINUE |
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183 | 131 END DO |
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184 | 132 CONTINUE |
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185 | IF (IDO .EQ. 1) RETURN |
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186 | DO 133 IK=1,IDL1 |
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187 | M2 = M2S |
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188 | DO 1033 M1=1,M1D,IM1 |
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189 | M2 = M2+IM2 |
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190 | C2(M1,IK,1) = CH2(M2,IK,1) |
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191 | 1033 CONTINUE |
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192 | 133 END DO |
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193 | DO 135 J=2,IP |
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194 | DO 134 K=1,L1 |
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195 | M2 = M2S |
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196 | DO 1034 M1=1,M1D,IM1 |
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197 | M2 = M2+IM2 |
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198 | C1(M1,1,K,J) = CH(M2,1,K,J) |
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199 | 1034 CONTINUE |
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200 | 134 CONTINUE |
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201 | 135 END DO |
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202 | IF (NBD .GT. L1) GO TO 139 |
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203 | IS = -IDO |
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204 | DO 138 J=2,IP |
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205 | IS = IS+IDO |
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206 | IDIJ = IS |
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207 | DO 137 I=3,IDO,2 |
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208 | IDIJ = IDIJ+2 |
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209 | DO 136 K=1,L1 |
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210 | M2 = M2S |
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211 | DO 1036 M1=1,M1D,IM1 |
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212 | M2 = M2+IM2 |
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213 | C1(M1,I-1,K,J) = WA(IDIJ-1)*CH(M2,I-1,K,J)-WA(IDIJ)* & |
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214 | & CH(M2,I,K,J) |
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215 | C1(M1,I,K,J) = WA(IDIJ-1)*CH(M2,I,K,J)+WA(IDIJ)* & |
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216 | & CH(M2,I-1,K,J) |
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217 | 1036 CONTINUE |
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218 | 136 CONTINUE |
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219 | 137 CONTINUE |
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220 | 138 END DO |
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221 | GO TO 143 |
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222 | 139 IS = -IDO |
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223 | DO 142 J=2,IP |
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224 | IS = IS+IDO |
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225 | DO 141 K=1,L1 |
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226 | IDIJ = IS |
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227 | DO 140 I=3,IDO,2 |
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228 | IDIJ = IDIJ+2 |
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229 | M2 = M2S |
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230 | DO 1040 M1=1,M1D,IM1 |
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231 | M2 = M2+IM2 |
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232 | C1(M1,I-1,K,J) = WA(IDIJ-1)*CH(M2,I-1,K,J)-WA(IDIJ)* & |
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233 | & CH(M2,I,K,J) |
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234 | C1(M1,I,K,J) = WA(IDIJ-1)*CH(M2,I,K,J)+WA(IDIJ)* & |
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235 | & CH(M2,I-1,K,J) |
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236 | 1040 CONTINUE |
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237 | 140 CONTINUE |
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238 | 141 CONTINUE |
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239 | 142 END DO |
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240 | 143 RETURN |
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241 | END |
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