1 | MODULE temperton_fft |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Current revisions: |
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5 | ! ----------------- |
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6 | ! Output of messages replaced by message handling routine. |
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7 | ! |
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8 | ! |
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9 | ! Former revisions: |
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10 | ! ----------------- |
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11 | ! $Id: temperton_fft.f90 258 2009-03-13 12:36:03Z raasch $ |
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12 | ! RCS Log replace by Id keyword, revision history cleaned up |
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13 | ! |
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14 | ! Revision 1.2 2003/04/16 12:49:25 raasch |
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15 | ! Abort in case of illegal factors |
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16 | ! |
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17 | ! Revision 1.1 2003/03/12 16:41:59 raasch |
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18 | ! Initial revision |
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19 | ! |
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20 | ! |
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21 | ! Description: |
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22 | ! ------------ |
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23 | ! Fast Fourier transformation developed by Clive Temperton, ECMWF. |
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24 | !------------------------------------------------------------------------------! |
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25 | |
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26 | IMPLICIT NONE |
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27 | |
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28 | PRIVATE |
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29 | |
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30 | PUBLIC set99, fft991cy |
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31 | |
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32 | |
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33 | INTEGER :: nfax(10) ! array used by *fft991*. |
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34 | REAL, ALLOCATABLE :: trig(:) ! array used by *fft991*. |
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35 | |
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36 | ! |
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37 | !-- nfft: maximum length of calls to *fft. |
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38 | #if defined( __nec ) |
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39 | INTEGER, PARAMETER :: nfft = 256 |
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40 | #else |
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41 | INTEGER, PARAMETER :: nfft = 32 |
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42 | #endif |
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43 | |
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44 | INTEGER, PARAMETER :: nout = 6 ! standard output stream |
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45 | |
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46 | CONTAINS |
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47 | |
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48 | SUBROUTINE fft991cy(a,work,trigs,ifax,inc,jump,n,lot,isign) |
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49 | |
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50 | ! Description: |
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51 | ! |
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52 | ! Calls fortran-versions of fft's. |
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53 | ! |
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54 | ! Method: |
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55 | ! |
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56 | ! Subroutine 'fft991cy' - multiple fast real periodic transform |
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57 | ! supersedes previous routine 'fft991cy'. |
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58 | ! |
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59 | ! Real transform of length n performed by removing redundant |
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60 | ! operations from complex transform of length n. |
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61 | ! |
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62 | ! a is the array containing input & output data. |
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63 | ! work is an area of size (n+1)*min(lot,nfft). |
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64 | ! trigs is a previously prepared list of trig function values. |
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65 | ! ifax is a previously prepared list of factors of n. |
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66 | ! inc is the increment within each data 'vector' |
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67 | ! (e.g. inc=1 for consecutively stored data). |
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68 | ! jump is the increment between the start of each data vector. |
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69 | ! n is the length of the data vectors. |
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70 | ! lot is the number of data vectors. |
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71 | ! isign = +1 for transform from spectral to gridpoint |
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72 | ! = -1 for transform from gridpoint to spectral. |
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73 | ! |
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74 | ! ordering of coefficients: |
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75 | ! a(0),b(0),a(1),b(1),a(2),b(2),.,a(n/2),b(n/2) |
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76 | ! where b(0)=b(n/2)=0; (n+2) locations required. |
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77 | ! |
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78 | ! ordering of data: |
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79 | ! x(0),x(1),x(2),.,x(n-1), 0 , 0 ; (n+2) locations required. |
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80 | ! |
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81 | ! Vectorization is achieved on cray by doing the transforms |
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82 | ! in parallel. |
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83 | ! |
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84 | ! n must be composed of factors 2,3 & 5 but does not have to be even. |
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85 | ! |
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86 | ! definition of transforms: |
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87 | ! |
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88 | ! isign=+1: x(j)=sum(k=0,.,n-1)(c(k)*exp(2*i*j*k*pi/n)) |
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89 | ! where c(k)=a(k)+i*b(k) and c(n-k)=a(k)-i*b(k) |
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90 | |
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91 | ! isign=-1: a(k)=(1/n)*sum(j=0,.,n-1)(x(j)*cos(2*j*k*pi/n)) |
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92 | ! b(k)=-(1/n)*sum(j=0,.,n-1)(x(j)*sin(2*j*k*pi/n)) |
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93 | |
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94 | ! calls fortran-versions of fft's !!! |
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95 | ! dimension a(n),work(n),trigs(n),ifax(1) |
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96 | |
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97 | |
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98 | IMPLICIT NONE |
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99 | |
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100 | ! Scalar arguments |
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101 | INTEGER :: inc, isign, jump, lot, n |
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102 | |
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103 | ! Array arguments |
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104 | REAL :: a(*), trigs(*), work(*) |
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105 | INTEGER :: ifax(*) |
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106 | |
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107 | ! Local scalars: |
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108 | INTEGER :: i, ia, ibase, ierr, ifac, igo, ii, istart, ix, iz, j, jbase, jj, & |
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109 | & k, la, nb, nblox, nfax, nvex, nx |
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110 | |
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111 | ! Intrinsic functions |
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112 | INTRINSIC MOD |
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113 | |
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114 | |
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115 | ! Executable statements |
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116 | |
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117 | IF (ifax(10)/=n) CALL set99(trigs,ifax,n) |
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118 | nfax = ifax(1) |
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119 | nx = n + 1 |
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120 | IF (MOD(n,2)==1) nx = n |
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121 | nblox = 1 + (lot-1)/nfft |
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122 | nvex = lot - (nblox-1)*nfft |
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123 | IF (isign==-1) GO TO 50 |
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124 | |
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125 | ! isign=+1, spectral to gridpoint transform |
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126 | |
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127 | istart = 1 |
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128 | DO nb = 1, nblox |
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129 | ia = istart |
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130 | i = istart |
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131 | !DIR$ IVDEP |
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132 | !CDIR NODEP |
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133 | !OCL NOVREC |
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134 | DO j = 1, nvex |
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135 | a(i+inc) = 0.5*a(i) |
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136 | i = i + jump |
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137 | END DO |
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138 | IF (MOD(n,2)==1) GO TO 10 |
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139 | i = istart + n*inc |
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140 | DO j = 1, nvex |
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141 | a(i) = 0.5*a(i) |
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142 | i = i + jump |
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143 | END DO |
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144 | 10 CONTINUE |
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145 | ia = istart + inc |
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146 | la = 1 |
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147 | igo = + 1 |
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148 | |
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149 | DO k = 1, nfax |
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150 | ifac = ifax(k+1) |
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151 | ierr = -1 |
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152 | IF (igo==-1) GO TO 20 |
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153 | CALL rpassm(a(ia),a(ia+la*inc),work(1),work(ifac*la+1),trigs,inc,1, & |
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154 | & jump,nx,nvex,n,ifac,la,ierr) |
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155 | GO TO 30 |
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156 | 20 CONTINUE |
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157 | CALL rpassm(work(1),work(la+1),a(ia),a(ia+ifac*la*inc),trigs,1,inc,nx, & |
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158 | & jump,nvex,n,ifac,la,ierr) |
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159 | 30 CONTINUE |
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160 | IF (ierr/=0) GO TO 100 |
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161 | la = ifac*la |
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162 | igo = -igo |
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163 | ia = istart |
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164 | END DO |
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165 | |
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166 | ! If necessary, copy results back to a |
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167 | |
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168 | IF (MOD(nfax,2)==0) GO TO 40 |
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169 | ibase = 1 |
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170 | jbase = ia |
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171 | DO jj = 1, nvex |
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172 | i = ibase |
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173 | j = jbase |
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174 | DO ii = 1, n |
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175 | a(j) = work(i) |
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176 | i = i + 1 |
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177 | j = j + inc |
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178 | END DO |
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179 | ibase = ibase + nx |
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180 | jbase = jbase + jump |
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181 | END DO |
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182 | 40 CONTINUE |
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183 | |
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184 | ! Fill in zeros at end |
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185 | |
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186 | ix = istart + n*inc |
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187 | !DIR$ IVDEP |
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188 | !CDIR NODEP |
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189 | !OCL NOVREC |
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190 | DO j = 1, nvex |
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191 | a(ix) = 0.0 |
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192 | a(ix+inc) = 0.0 |
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193 | ix = ix + jump |
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194 | END DO |
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195 | |
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196 | istart = istart + nvex*jump |
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197 | nvex = nfft |
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198 | END DO |
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199 | RETURN |
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200 | |
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201 | ! isign=-1, gridpoint to spectral transform |
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202 | |
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203 | 50 CONTINUE |
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204 | istart = 1 |
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205 | DO nb = 1, nblox |
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206 | ia = istart |
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207 | la = n |
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208 | igo = + 1 |
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209 | |
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210 | DO k = 1, nfax |
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211 | ifac = ifax(nfax+2-k) |
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212 | la = la/ifac |
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213 | ierr = -1 |
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214 | IF (igo==-1) GO TO 60 |
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215 | CALL qpassm(a(ia),a(ia+ifac*la*inc),work(1),work(la+1),trigs,inc,1, & |
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216 | & jump,nx,nvex,n,ifac,la,ierr) |
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217 | GO TO 70 |
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218 | 60 CONTINUE |
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219 | CALL qpassm(work(1),work(ifac*la+1),a(ia),a(ia+la*inc),trigs,1,inc,nx, & |
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220 | & jump,nvex,n,ifac,la,ierr) |
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221 | 70 CONTINUE |
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222 | IF (ierr/=0) GO TO 100 |
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223 | igo = -igo |
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224 | ia = istart + inc |
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225 | END DO |
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226 | |
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227 | ! If necessary, copy results back to a |
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228 | |
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229 | IF (MOD(nfax,2)==0) GO TO 80 |
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230 | ibase = 1 |
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231 | jbase = ia |
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232 | DO jj = 1, nvex |
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233 | i = ibase |
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234 | j = jbase |
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235 | DO ii = 1, n |
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236 | a(j) = work(i) |
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237 | i = i + 1 |
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238 | j = j + inc |
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239 | END DO |
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240 | ibase = ibase + nx |
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241 | jbase = jbase + jump |
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242 | END DO |
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243 | 80 CONTINUE |
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244 | |
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245 | ! Shift a(0) & fill in zero imag parts |
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246 | |
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247 | ix = istart |
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248 | !DIR$ IVDEP |
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249 | !CDIR NODEP |
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250 | !OCL NOVREC |
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251 | DO j = 1, nvex |
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252 | a(ix) = a(ix+inc) |
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253 | a(ix+inc) = 0.0 |
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254 | ix = ix + jump |
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255 | END DO |
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256 | IF (MOD(n,2)==1) GO TO 90 |
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257 | iz = istart + (n+1)*inc |
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258 | DO j = 1, nvex |
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259 | a(iz) = 0.0 |
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260 | iz = iz + jump |
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261 | END DO |
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262 | 90 CONTINUE |
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263 | |
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264 | istart = istart + nvex*jump |
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265 | nvex = nfft |
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266 | END DO |
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267 | RETURN |
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268 | |
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269 | ! Error messages |
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270 | |
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271 | 100 CONTINUE |
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272 | |
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273 | SELECT CASE (ierr) |
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274 | CASE (:-1) |
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275 | WRITE (nout,'(A,I5,A)') ' Vector length =',nvex,', greater than nfft' |
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276 | CASE (0) |
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277 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', not catered for' |
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278 | CASE (1:) |
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279 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', only catered for if la*ifac=n' |
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280 | END SELECT |
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281 | |
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282 | RETURN |
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283 | END SUBROUTINE fft991cy |
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284 | |
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285 | SUBROUTINE qpassm(a,b,c,d,trigs,inc1,inc2,inc3,inc4,lot,n,ifac,la,ierr) |
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286 | |
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287 | ! Description: |
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288 | ! |
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289 | ! Performs one pass through data as part of |
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290 | ! multiple real fft (fourier analysis) routine. |
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291 | ! |
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292 | ! Method: |
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293 | ! |
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294 | ! a is first real input vector |
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295 | ! equivalence b(1) with a(ifac*la*inc1+1) |
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296 | ! c is first real output vector |
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297 | ! equivalence d(1) with c(la*inc2+1) |
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298 | ! trigs is a precalculated list of sines & cosines |
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299 | ! inc1 is the addressing increment for a |
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300 | ! inc2 is the addressing increment for c |
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301 | ! inc3 is the increment between input vectors a |
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302 | ! inc4 is the increment between output vectors c |
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303 | ! lot is the number of vectors |
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304 | ! n is the length of the vectors |
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305 | ! ifac is the current factor of n |
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306 | ! la = n/(product of factors used so far) |
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307 | ! ierr is an error indicator: |
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308 | ! 0 - pass completed without error |
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309 | ! 1 - lot greater than nfft |
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310 | ! 2 - ifac not catered for |
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311 | ! 3 - ifac only catered for if la=n/ifac |
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312 | ! |
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313 | |
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314 | IMPLICIT NONE |
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315 | |
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316 | ! Scalar arguments |
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317 | INTEGER :: ierr, ifac, inc1, inc2, inc3, inc4, la, lot, n |
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318 | |
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319 | ! Array arguments |
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320 | ! REAL :: a(n),b(n),c(n),d(n),trigs(n) |
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321 | REAL :: a(*), b(*), c(*), d(*), trigs(*) |
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322 | |
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323 | ! Local scalars: |
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324 | REAL :: a0, a1, a10, a11, a2, a20, a21, a3, a4, a5, a6, b0, b1, b10, b11, & |
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325 | & b2, b20, b21, b3, b4, b5, b6, c1, c2, c3, c4, c5, qrt5, s1, s2, s3, s4, & |
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326 | & s5, sin36, sin45, sin60, sin72, z, zqrt5, zsin36, zsin45, zsin60, & |
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327 | & zsin72 |
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328 | INTEGER :: i, ia, ib, ibad, ibase, ic, id, ie, if, ig, igo, ih, iink, ijk, & |
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329 | & ijump, j, ja, jb, jbase, jc, jd, je, jf, jink, k, kb, kc, kd, ke, kf, & |
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330 | & kstop, l, m |
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331 | |
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332 | ! Intrinsic functions |
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333 | INTRINSIC REAL, SQRT |
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334 | |
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335 | ! Data statements |
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336 | DATA sin36/0.587785252292473/, sin72/0.951056516295154/, & |
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337 | & qrt5/0.559016994374947/, sin60/0.866025403784437/ |
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338 | |
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339 | |
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340 | ! Executable statements |
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341 | |
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342 | m = n/ifac |
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343 | iink = la*inc1 |
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344 | jink = la*inc2 |
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345 | ijump = (ifac-1)*iink |
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346 | kstop = (n-ifac)/(2*ifac) |
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347 | |
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348 | ibad = 1 |
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349 | IF (lot>nfft) GO TO 180 |
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350 | ibase = 0 |
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351 | jbase = 0 |
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352 | igo = ifac - 1 |
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353 | IF (igo==7) igo = 6 |
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354 | ibad = 2 |
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355 | IF (igo<1 .OR. igo>6) GO TO 180 |
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356 | GO TO (10,40,70,100,130,160) igo |
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357 | |
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358 | ! Coding for factor 2 |
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359 | |
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360 | 10 CONTINUE |
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361 | ia = 1 |
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362 | ib = ia + iink |
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363 | ja = 1 |
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364 | jb = ja + (2*m-la)*inc2 |
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365 | |
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366 | IF (la==m) GO TO 30 |
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367 | |
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368 | DO l = 1, la |
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369 | i = ibase |
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370 | j = jbase |
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371 | !DIR$ IVDEP |
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372 | !CDIR NODEP |
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373 | !OCL NOVREC |
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374 | DO ijk = 1, lot |
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375 | c(ja+j) = a(ia+i) + a(ib+i) |
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376 | c(jb+j) = a(ia+i) - a(ib+i) |
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377 | i = i + inc3 |
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378 | j = j + inc4 |
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379 | END DO |
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380 | ibase = ibase + inc1 |
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381 | jbase = jbase + inc2 |
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382 | END DO |
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383 | ja = ja + jink |
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384 | jink = 2*jink |
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385 | jb = jb - jink |
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386 | ibase = ibase + ijump |
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387 | ijump = 2*ijump + iink |
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388 | IF (ja==jb) GO TO 20 |
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389 | DO k = la, kstop, la |
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390 | kb = k + k |
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391 | c1 = trigs(kb+1) |
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392 | s1 = trigs(kb+2) |
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393 | jbase = 0 |
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394 | DO l = 1, la |
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395 | i = ibase |
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396 | j = jbase |
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397 | !DIR$ IVDEP |
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398 | !CDIR NODEP |
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399 | !OCL NOVREC |
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400 | DO ijk = 1, lot |
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401 | c(ja+j) = a(ia+i) + (c1*a(ib+i)+s1*b(ib+i)) |
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402 | c(jb+j) = a(ia+i) - (c1*a(ib+i)+s1*b(ib+i)) |
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403 | d(ja+j) = (c1*b(ib+i)-s1*a(ib+i)) + b(ia+i) |
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404 | d(jb+j) = (c1*b(ib+i)-s1*a(ib+i)) - b(ia+i) |
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405 | i = i + inc3 |
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406 | j = j + inc4 |
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407 | END DO |
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408 | ibase = ibase + inc1 |
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409 | jbase = jbase + inc2 |
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410 | END DO |
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411 | ibase = ibase + ijump |
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412 | ja = ja + jink |
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413 | jb = jb - jink |
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414 | END DO |
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415 | IF (ja>jb) GO TO 170 |
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416 | 20 CONTINUE |
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417 | jbase = 0 |
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418 | DO l = 1, la |
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419 | i = ibase |
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420 | j = jbase |
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421 | !DIR$ IVDEP |
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422 | !CDIR NODEP |
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423 | !OCL NOVREC |
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424 | DO ijk = 1, lot |
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425 | c(ja+j) = a(ia+i) |
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426 | d(ja+j) = -a(ib+i) |
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427 | i = i + inc3 |
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428 | j = j + inc4 |
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429 | END DO |
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430 | ibase = ibase + inc1 |
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431 | jbase = jbase + inc2 |
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432 | END DO |
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433 | |
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434 | GO TO 170 |
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435 | 30 CONTINUE |
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436 | z = 1.0/REAL(n) |
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437 | DO l = 1, la |
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438 | i = ibase |
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439 | j = jbase |
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440 | !DIR$ IVDEP |
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441 | !CDIR NODEP |
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442 | !OCL NOVREC |
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443 | DO ijk = 1, lot |
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444 | c(ja+j) = z*(a(ia+i)+a(ib+i)) |
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445 | c(jb+j) = z*(a(ia+i)-a(ib+i)) |
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446 | i = i + inc3 |
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447 | j = j + inc4 |
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448 | END DO |
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449 | ibase = ibase + inc1 |
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450 | jbase = jbase + inc2 |
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451 | END DO |
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452 | GO TO 170 |
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453 | |
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454 | ! Coding for factor 3 |
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455 | |
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456 | 40 CONTINUE |
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457 | ia = 1 |
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458 | ib = ia + iink |
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459 | ic = ib + iink |
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460 | ja = 1 |
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461 | jb = ja + (2*m-la)*inc2 |
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462 | jc = jb |
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463 | |
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464 | IF (la==m) GO TO 60 |
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465 | |
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466 | DO l = 1, la |
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467 | i = ibase |
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468 | j = jbase |
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469 | !DIR$ IVDEP |
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470 | !CDIR NODEP |
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471 | !OCL NOVREC |
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472 | DO ijk = 1, lot |
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473 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
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474 | c(jb+j) = a(ia+i) - 0.5*(a(ib+i)+a(ic+i)) |
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475 | d(jb+j) = sin60*(a(ic+i)-a(ib+i)) |
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476 | i = i + inc3 |
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477 | j = j + inc4 |
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478 | END DO |
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479 | ibase = ibase + inc1 |
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480 | jbase = jbase + inc2 |
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481 | END DO |
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482 | ja = ja + jink |
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483 | jink = 2*jink |
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484 | jb = jb + jink |
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485 | jc = jc - jink |
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486 | ibase = ibase + ijump |
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487 | ijump = 2*ijump + iink |
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488 | IF (ja==jc) GO TO 50 |
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489 | DO k = la, kstop, la |
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490 | kb = k + k |
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491 | kc = kb + kb |
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492 | c1 = trigs(kb+1) |
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493 | s1 = trigs(kb+2) |
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494 | c2 = trigs(kc+1) |
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495 | s2 = trigs(kc+2) |
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496 | jbase = 0 |
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497 | DO l = 1, la |
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498 | i = ibase |
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499 | j = jbase |
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500 | !DIR$ IVDEP |
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501 | !CDIR NODEP |
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502 | !OCL NOVREC |
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503 | DO ijk = 1, lot |
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504 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c2*a(ic+i)+s2*b(ic+i)) |
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505 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c2*b(ic+i)-s2*a(ic+i)) |
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506 | a2 = a(ia+i) - 0.5*a1 |
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507 | b2 = b(ia+i) - 0.5*b1 |
---|
508 | a3 = sin60*((c1*a(ib+i)+s1*b(ib+i))-(c2*a(ic+i)+s2*b(ic+i))) |
---|
509 | b3 = sin60*((c1*b(ib+i)-s1*a(ib+i))-(c2*b(ic+i)-s2*a(ic+i))) |
---|
510 | c(ja+j) = a(ia+i) + a1 |
---|
511 | d(ja+j) = b(ia+i) + b1 |
---|
512 | c(jb+j) = a2 + b3 |
---|
513 | d(jb+j) = b2 - a3 |
---|
514 | c(jc+j) = a2 - b3 |
---|
515 | d(jc+j) = -(b2+a3) |
---|
516 | i = i + inc3 |
---|
517 | j = j + inc4 |
---|
518 | END DO |
---|
519 | ibase = ibase + inc1 |
---|
520 | jbase = jbase + inc2 |
---|
521 | END DO |
---|
522 | ibase = ibase + ijump |
---|
523 | ja = ja + jink |
---|
524 | jb = jb + jink |
---|
525 | jc = jc - jink |
---|
526 | END DO |
---|
527 | IF (ja>jc) GO TO 170 |
---|
528 | 50 CONTINUE |
---|
529 | jbase = 0 |
---|
530 | DO l = 1, la |
---|
531 | i = ibase |
---|
532 | j = jbase |
---|
533 | !DIR$ IVDEP |
---|
534 | !CDIR NODEP |
---|
535 | !OCL NOVREC |
---|
536 | DO ijk = 1, lot |
---|
537 | c(ja+j) = a(ia+i) + 0.5*(a(ib+i)-a(ic+i)) |
---|
538 | d(ja+j) = -sin60*(a(ib+i)+a(ic+i)) |
---|
539 | c(jb+j) = a(ia+i) - (a(ib+i)-a(ic+i)) |
---|
540 | i = i + inc3 |
---|
541 | j = j + inc4 |
---|
542 | END DO |
---|
543 | ibase = ibase + inc1 |
---|
544 | jbase = jbase + inc2 |
---|
545 | END DO |
---|
546 | |
---|
547 | GO TO 170 |
---|
548 | 60 CONTINUE |
---|
549 | z = 1.0/REAL(n) |
---|
550 | zsin60 = z*sin60 |
---|
551 | DO l = 1, la |
---|
552 | i = ibase |
---|
553 | j = jbase |
---|
554 | !DIR$ IVDEP |
---|
555 | !CDIR NODEP |
---|
556 | !OCL NOVREC |
---|
557 | DO ijk = 1, lot |
---|
558 | c(ja+j) = z*(a(ia+i)+(a(ib+i)+a(ic+i))) |
---|
559 | c(jb+j) = z*(a(ia+i)-0.5*(a(ib+i)+a(ic+i))) |
---|
560 | d(jb+j) = zsin60*(a(ic+i)-a(ib+i)) |
---|
561 | i = i + inc3 |
---|
562 | j = j + inc4 |
---|
563 | END DO |
---|
564 | ibase = ibase + inc1 |
---|
565 | jbase = jbase + inc2 |
---|
566 | END DO |
---|
567 | GO TO 170 |
---|
568 | |
---|
569 | ! Coding for factor 4 |
---|
570 | |
---|
571 | 70 CONTINUE |
---|
572 | ia = 1 |
---|
573 | ib = ia + iink |
---|
574 | ic = ib + iink |
---|
575 | id = ic + iink |
---|
576 | ja = 1 |
---|
577 | jb = ja + (2*m-la)*inc2 |
---|
578 | jc = jb + 2*m*inc2 |
---|
579 | jd = jb |
---|
580 | |
---|
581 | IF (la==m) GO TO 90 |
---|
582 | |
---|
583 | DO l = 1, la |
---|
584 | i = ibase |
---|
585 | j = jbase |
---|
586 | !DIR$ IVDEP |
---|
587 | !CDIR NODEP |
---|
588 | !OCL NOVREC |
---|
589 | DO ijk = 1, lot |
---|
590 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
---|
591 | c(jc+j) = (a(ia+i)+a(ic+i)) - (a(ib+i)+a(id+i)) |
---|
592 | c(jb+j) = a(ia+i) - a(ic+i) |
---|
593 | d(jb+j) = a(id+i) - a(ib+i) |
---|
594 | i = i + inc3 |
---|
595 | j = j + inc4 |
---|
596 | END DO |
---|
597 | ibase = ibase + inc1 |
---|
598 | jbase = jbase + inc2 |
---|
599 | END DO |
---|
600 | ja = ja + jink |
---|
601 | jink = 2*jink |
---|
602 | jb = jb + jink |
---|
603 | jc = jc - jink |
---|
604 | jd = jd - jink |
---|
605 | ibase = ibase + ijump |
---|
606 | ijump = 2*ijump + iink |
---|
607 | IF (jb==jc) GO TO 80 |
---|
608 | DO k = la, kstop, la |
---|
609 | kb = k + k |
---|
610 | kc = kb + kb |
---|
611 | kd = kc + kb |
---|
612 | c1 = trigs(kb+1) |
---|
613 | s1 = trigs(kb+2) |
---|
614 | c2 = trigs(kc+1) |
---|
615 | s2 = trigs(kc+2) |
---|
616 | c3 = trigs(kd+1) |
---|
617 | s3 = trigs(kd+2) |
---|
618 | jbase = 0 |
---|
619 | DO l = 1, la |
---|
620 | i = ibase |
---|
621 | j = jbase |
---|
622 | !DIR$ IVDEP |
---|
623 | !CDIR NODEP |
---|
624 | !OCL NOVREC |
---|
625 | DO ijk = 1, lot |
---|
626 | a0 = a(ia+i) + (c2*a(ic+i)+s2*b(ic+i)) |
---|
627 | a2 = a(ia+i) - (c2*a(ic+i)+s2*b(ic+i)) |
---|
628 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c3*a(id+i)+s3*b(id+i)) |
---|
629 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c3*a(id+i)+s3*b(id+i)) |
---|
630 | b0 = b(ia+i) + (c2*b(ic+i)-s2*a(ic+i)) |
---|
631 | b2 = b(ia+i) - (c2*b(ic+i)-s2*a(ic+i)) |
---|
632 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c3*b(id+i)-s3*a(id+i)) |
---|
633 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c3*b(id+i)-s3*a(id+i)) |
---|
634 | c(ja+j) = a0 + a1 |
---|
635 | c(jc+j) = a0 - a1 |
---|
636 | d(ja+j) = b0 + b1 |
---|
637 | d(jc+j) = b1 - b0 |
---|
638 | c(jb+j) = a2 + b3 |
---|
639 | c(jd+j) = a2 - b3 |
---|
640 | d(jb+j) = b2 - a3 |
---|
641 | d(jd+j) = -(b2+a3) |
---|
642 | i = i + inc3 |
---|
643 | j = j + inc4 |
---|
644 | END DO |
---|
645 | ibase = ibase + inc1 |
---|
646 | jbase = jbase + inc2 |
---|
647 | END DO |
---|
648 | ibase = ibase + ijump |
---|
649 | ja = ja + jink |
---|
650 | jb = jb + jink |
---|
651 | jc = jc - jink |
---|
652 | jd = jd - jink |
---|
653 | END DO |
---|
654 | IF (jb>jc) GO TO 170 |
---|
655 | 80 CONTINUE |
---|
656 | sin45 = SQRT(0.5) |
---|
657 | jbase = 0 |
---|
658 | DO l = 1, la |
---|
659 | i = ibase |
---|
660 | j = jbase |
---|
661 | !DIR$ IVDEP |
---|
662 | !CDIR NODEP |
---|
663 | !OCL NOVREC |
---|
664 | DO ijk = 1, lot |
---|
665 | c(ja+j) = a(ia+i) + sin45*(a(ib+i)-a(id+i)) |
---|
666 | c(jb+j) = a(ia+i) - sin45*(a(ib+i)-a(id+i)) |
---|
667 | d(ja+j) = -a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
---|
668 | d(jb+j) = a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
---|
669 | i = i + inc3 |
---|
670 | j = j + inc4 |
---|
671 | END DO |
---|
672 | ibase = ibase + inc1 |
---|
673 | jbase = jbase + inc2 |
---|
674 | END DO |
---|
675 | |
---|
676 | GO TO 170 |
---|
677 | 90 CONTINUE |
---|
678 | z = 1.0/REAL(n) |
---|
679 | DO l = 1, la |
---|
680 | i = ibase |
---|
681 | j = jbase |
---|
682 | !DIR$ IVDEP |
---|
683 | !CDIR NODEP |
---|
684 | !OCL NOVREC |
---|
685 | DO ijk = 1, lot |
---|
686 | c(ja+j) = z*((a(ia+i)+a(ic+i))+(a(ib+i)+a(id+i))) |
---|
687 | c(jc+j) = z*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) |
---|
688 | c(jb+j) = z*(a(ia+i)-a(ic+i)) |
---|
689 | d(jb+j) = z*(a(id+i)-a(ib+i)) |
---|
690 | i = i + inc3 |
---|
691 | j = j + inc4 |
---|
692 | END DO |
---|
693 | ibase = ibase + inc1 |
---|
694 | jbase = jbase + inc2 |
---|
695 | END DO |
---|
696 | GO TO 170 |
---|
697 | |
---|
698 | ! Coding for factor 5 |
---|
699 | |
---|
700 | 100 CONTINUE |
---|
701 | ia = 1 |
---|
702 | ib = ia + iink |
---|
703 | ic = ib + iink |
---|
704 | id = ic + iink |
---|
705 | ie = id + iink |
---|
706 | ja = 1 |
---|
707 | jb = ja + (2*m-la)*inc2 |
---|
708 | jc = jb + 2*m*inc2 |
---|
709 | jd = jc |
---|
710 | je = jb |
---|
711 | |
---|
712 | IF (la==m) GO TO 120 |
---|
713 | |
---|
714 | DO l = 1, la |
---|
715 | i = ibase |
---|
716 | j = jbase |
---|
717 | !DIR$ IVDEP |
---|
718 | !CDIR NODEP |
---|
719 | !OCL NOVREC |
---|
720 | DO ijk = 1, lot |
---|
721 | a1 = a(ib+i) + a(ie+i) |
---|
722 | a3 = a(ib+i) - a(ie+i) |
---|
723 | a2 = a(ic+i) + a(id+i) |
---|
724 | a4 = a(ic+i) - a(id+i) |
---|
725 | a5 = a(ia+i) - 0.25*(a1+a2) |
---|
726 | a6 = qrt5*(a1-a2) |
---|
727 | c(ja+j) = a(ia+i) + (a1+a2) |
---|
728 | c(jb+j) = a5 + a6 |
---|
729 | c(jc+j) = a5 - a6 |
---|
730 | d(jb+j) = -sin72*a3 - sin36*a4 |
---|
731 | d(jc+j) = -sin36*a3 + sin72*a4 |
---|
732 | i = i + inc3 |
---|
733 | j = j + inc4 |
---|
734 | END DO |
---|
735 | ibase = ibase + inc1 |
---|
736 | jbase = jbase + inc2 |
---|
737 | END DO |
---|
738 | ja = ja + jink |
---|
739 | jink = 2*jink |
---|
740 | jb = jb + jink |
---|
741 | jc = jc + jink |
---|
742 | jd = jd - jink |
---|
743 | je = je - jink |
---|
744 | ibase = ibase + ijump |
---|
745 | ijump = 2*ijump + iink |
---|
746 | IF (jb==jd) GO TO 110 |
---|
747 | DO k = la, kstop, la |
---|
748 | kb = k + k |
---|
749 | kc = kb + kb |
---|
750 | kd = kc + kb |
---|
751 | ke = kd + kb |
---|
752 | c1 = trigs(kb+1) |
---|
753 | s1 = trigs(kb+2) |
---|
754 | c2 = trigs(kc+1) |
---|
755 | s2 = trigs(kc+2) |
---|
756 | c3 = trigs(kd+1) |
---|
757 | s3 = trigs(kd+2) |
---|
758 | c4 = trigs(ke+1) |
---|
759 | s4 = trigs(ke+2) |
---|
760 | jbase = 0 |
---|
761 | DO l = 1, la |
---|
762 | i = ibase |
---|
763 | j = jbase |
---|
764 | !DIR$ IVDEP |
---|
765 | !CDIR NODEP |
---|
766 | !OCL NOVREC |
---|
767 | DO ijk = 1, lot |
---|
768 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c4*a(ie+i)+s4*b(ie+i)) |
---|
769 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c4*a(ie+i)+s4*b(ie+i)) |
---|
770 | a2 = (c2*a(ic+i)+s2*b(ic+i)) + (c3*a(id+i)+s3*b(id+i)) |
---|
771 | a4 = (c2*a(ic+i)+s2*b(ic+i)) - (c3*a(id+i)+s3*b(id+i)) |
---|
772 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c4*b(ie+i)-s4*a(ie+i)) |
---|
773 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c4*b(ie+i)-s4*a(ie+i)) |
---|
774 | b2 = (c2*b(ic+i)-s2*a(ic+i)) + (c3*b(id+i)-s3*a(id+i)) |
---|
775 | b4 = (c2*b(ic+i)-s2*a(ic+i)) - (c3*b(id+i)-s3*a(id+i)) |
---|
776 | a5 = a(ia+i) - 0.25*(a1+a2) |
---|
777 | a6 = qrt5*(a1-a2) |
---|
778 | b5 = b(ia+i) - 0.25*(b1+b2) |
---|
779 | b6 = qrt5*(b1-b2) |
---|
780 | a10 = a5 + a6 |
---|
781 | a20 = a5 - a6 |
---|
782 | b10 = b5 + b6 |
---|
783 | b20 = b5 - b6 |
---|
784 | a11 = sin72*b3 + sin36*b4 |
---|
785 | a21 = sin36*b3 - sin72*b4 |
---|
786 | b11 = sin72*a3 + sin36*a4 |
---|
787 | b21 = sin36*a3 - sin72*a4 |
---|
788 | c(ja+j) = a(ia+i) + (a1+a2) |
---|
789 | c(jb+j) = a10 + a11 |
---|
790 | c(je+j) = a10 - a11 |
---|
791 | c(jc+j) = a20 + a21 |
---|
792 | c(jd+j) = a20 - a21 |
---|
793 | d(ja+j) = b(ia+i) + (b1+b2) |
---|
794 | d(jb+j) = b10 - b11 |
---|
795 | d(je+j) = -(b10+b11) |
---|
796 | d(jc+j) = b20 - b21 |
---|
797 | d(jd+j) = -(b20+b21) |
---|
798 | i = i + inc3 |
---|
799 | j = j + inc4 |
---|
800 | END DO |
---|
801 | ibase = ibase + inc1 |
---|
802 | jbase = jbase + inc2 |
---|
803 | END DO |
---|
804 | ibase = ibase + ijump |
---|
805 | ja = ja + jink |
---|
806 | jb = jb + jink |
---|
807 | jc = jc + jink |
---|
808 | jd = jd - jink |
---|
809 | je = je - jink |
---|
810 | END DO |
---|
811 | IF (jb>jd) GO TO 170 |
---|
812 | 110 CONTINUE |
---|
813 | jbase = 0 |
---|
814 | DO l = 1, la |
---|
815 | i = ibase |
---|
816 | j = jbase |
---|
817 | !DIR$ IVDEP |
---|
818 | !CDIR NODEP |
---|
819 | !OCL NOVREC |
---|
820 | DO ijk = 1, lot |
---|
821 | a1 = a(ib+i) + a(ie+i) |
---|
822 | a3 = a(ib+i) - a(ie+i) |
---|
823 | a2 = a(ic+i) + a(id+i) |
---|
824 | a4 = a(ic+i) - a(id+i) |
---|
825 | a5 = a(ia+i) + 0.25*(a3-a4) |
---|
826 | a6 = qrt5*(a3+a4) |
---|
827 | c(ja+j) = a5 + a6 |
---|
828 | c(jb+j) = a5 - a6 |
---|
829 | c(jc+j) = a(ia+i) - (a3-a4) |
---|
830 | d(ja+j) = -sin36*a1 - sin72*a2 |
---|
831 | d(jb+j) = -sin72*a1 + sin36*a2 |
---|
832 | i = i + inc3 |
---|
833 | j = j + inc4 |
---|
834 | END DO |
---|
835 | ibase = ibase + inc1 |
---|
836 | jbase = jbase + inc2 |
---|
837 | END DO |
---|
838 | |
---|
839 | GO TO 170 |
---|
840 | 120 CONTINUE |
---|
841 | z = 1.0/REAL(n) |
---|
842 | zqrt5 = z*qrt5 |
---|
843 | zsin36 = z*sin36 |
---|
844 | zsin72 = z*sin72 |
---|
845 | DO l = 1, la |
---|
846 | i = ibase |
---|
847 | j = jbase |
---|
848 | !DIR$ IVDEP |
---|
849 | !CDIR NODEP |
---|
850 | !OCL NOVREC |
---|
851 | DO ijk = 1, lot |
---|
852 | a1 = a(ib+i) + a(ie+i) |
---|
853 | a3 = a(ib+i) - a(ie+i) |
---|
854 | a2 = a(ic+i) + a(id+i) |
---|
855 | a4 = a(ic+i) - a(id+i) |
---|
856 | a5 = z*(a(ia+i)-0.25*(a1+a2)) |
---|
857 | a6 = zqrt5*(a1-a2) |
---|
858 | c(ja+j) = z*(a(ia+i)+(a1+a2)) |
---|
859 | c(jb+j) = a5 + a6 |
---|
860 | c(jc+j) = a5 - a6 |
---|
861 | d(jb+j) = -zsin72*a3 - zsin36*a4 |
---|
862 | d(jc+j) = -zsin36*a3 + zsin72*a4 |
---|
863 | i = i + inc3 |
---|
864 | j = j + inc4 |
---|
865 | END DO |
---|
866 | ibase = ibase + inc1 |
---|
867 | jbase = jbase + inc2 |
---|
868 | END DO |
---|
869 | GO TO 170 |
---|
870 | |
---|
871 | ! Coding for factor 6 |
---|
872 | |
---|
873 | 130 CONTINUE |
---|
874 | ia = 1 |
---|
875 | ib = ia + iink |
---|
876 | ic = ib + iink |
---|
877 | id = ic + iink |
---|
878 | ie = id + iink |
---|
879 | if = ie + iink |
---|
880 | ja = 1 |
---|
881 | jb = ja + (2*m-la)*inc2 |
---|
882 | jc = jb + 2*m*inc2 |
---|
883 | jd = jc + 2*m*inc2 |
---|
884 | je = jc |
---|
885 | jf = jb |
---|
886 | |
---|
887 | IF (la==m) GO TO 150 |
---|
888 | |
---|
889 | DO l = 1, la |
---|
890 | i = ibase |
---|
891 | j = jbase |
---|
892 | !DIR$ IVDEP |
---|
893 | !CDIR NODEP |
---|
894 | !OCL NOVREC |
---|
895 | DO ijk = 1, lot |
---|
896 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
---|
897 | c(ja+j) = (a(ia+i)+a(id+i)) + a11 |
---|
898 | c(jc+j) = (a(ia+i)+a(id+i)-0.5*a11) |
---|
899 | d(jc+j) = sin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
---|
900 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
---|
901 | c(jb+j) = (a(ia+i)-a(id+i)) - 0.5*a11 |
---|
902 | d(jb+j) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
---|
903 | c(jd+j) = (a(ia+i)-a(id+i)) + a11 |
---|
904 | i = i + inc3 |
---|
905 | j = j + inc4 |
---|
906 | END DO |
---|
907 | ibase = ibase + inc1 |
---|
908 | jbase = jbase + inc2 |
---|
909 | END DO |
---|
910 | ja = ja + jink |
---|
911 | jink = 2*jink |
---|
912 | jb = jb + jink |
---|
913 | jc = jc + jink |
---|
914 | jd = jd - jink |
---|
915 | je = je - jink |
---|
916 | jf = jf - jink |
---|
917 | ibase = ibase + ijump |
---|
918 | ijump = 2*ijump + iink |
---|
919 | IF (jc==jd) GO TO 140 |
---|
920 | DO k = la, kstop, la |
---|
921 | kb = k + k |
---|
922 | kc = kb + kb |
---|
923 | kd = kc + kb |
---|
924 | ke = kd + kb |
---|
925 | kf = ke + kb |
---|
926 | c1 = trigs(kb+1) |
---|
927 | s1 = trigs(kb+2) |
---|
928 | c2 = trigs(kc+1) |
---|
929 | s2 = trigs(kc+2) |
---|
930 | c3 = trigs(kd+1) |
---|
931 | s3 = trigs(kd+2) |
---|
932 | c4 = trigs(ke+1) |
---|
933 | s4 = trigs(ke+2) |
---|
934 | c5 = trigs(kf+1) |
---|
935 | s5 = trigs(kf+2) |
---|
936 | jbase = 0 |
---|
937 | DO l = 1, la |
---|
938 | i = ibase |
---|
939 | j = jbase |
---|
940 | !DIR$ IVDEP |
---|
941 | !CDIR NODEP |
---|
942 | !OCL NOVREC |
---|
943 | DO ijk = 1, lot |
---|
944 | a1 = c1*a(ib+i) + s1*b(ib+i) |
---|
945 | b1 = c1*b(ib+i) - s1*a(ib+i) |
---|
946 | a2 = c2*a(ic+i) + s2*b(ic+i) |
---|
947 | b2 = c2*b(ic+i) - s2*a(ic+i) |
---|
948 | a3 = c3*a(id+i) + s3*b(id+i) |
---|
949 | b3 = c3*b(id+i) - s3*a(id+i) |
---|
950 | a4 = c4*a(ie+i) + s4*b(ie+i) |
---|
951 | b4 = c4*b(ie+i) - s4*a(ie+i) |
---|
952 | a5 = c5*a(if+i) + s5*b(if+i) |
---|
953 | b5 = c5*b(if+i) - s5*a(if+i) |
---|
954 | a11 = (a2+a5) + (a1+a4) |
---|
955 | a20 = (a(ia+i)+a3) - 0.5*a11 |
---|
956 | a21 = sin60*((a2+a5)-(a1+a4)) |
---|
957 | b11 = (b2+b5) + (b1+b4) |
---|
958 | b20 = (b(ia+i)+b3) - 0.5*b11 |
---|
959 | b21 = sin60*((b2+b5)-(b1+b4)) |
---|
960 | c(ja+j) = (a(ia+i)+a3) + a11 |
---|
961 | d(ja+j) = (b(ia+i)+b3) + b11 |
---|
962 | c(jc+j) = a20 - b21 |
---|
963 | d(jc+j) = a21 + b20 |
---|
964 | c(je+j) = a20 + b21 |
---|
965 | d(je+j) = a21 - b20 |
---|
966 | a11 = (a2-a5) + (a4-a1) |
---|
967 | a20 = (a(ia+i)-a3) - 0.5*a11 |
---|
968 | a21 = sin60*((a4-a1)-(a2-a5)) |
---|
969 | b11 = (b5-b2) - (b4-b1) |
---|
970 | b20 = (b3-b(ia+i)) - 0.5*b11 |
---|
971 | b21 = sin60*((b5-b2)+(b4-b1)) |
---|
972 | c(jb+j) = a20 - b21 |
---|
973 | d(jb+j) = a21 - b20 |
---|
974 | c(jd+j) = a11 + (a(ia+i)-a3) |
---|
975 | d(jd+j) = b11 + (b3-b(ia+i)) |
---|
976 | c(jf+j) = a20 + b21 |
---|
977 | d(jf+j) = a21 + b20 |
---|
978 | i = i + inc3 |
---|
979 | j = j + inc4 |
---|
980 | END DO |
---|
981 | ibase = ibase + inc1 |
---|
982 | jbase = jbase + inc2 |
---|
983 | END DO |
---|
984 | ibase = ibase + ijump |
---|
985 | ja = ja + jink |
---|
986 | jb = jb + jink |
---|
987 | jc = jc + jink |
---|
988 | jd = jd - jink |
---|
989 | je = je - jink |
---|
990 | jf = jf - jink |
---|
991 | END DO |
---|
992 | IF (jc>jd) GO TO 170 |
---|
993 | 140 CONTINUE |
---|
994 | jbase = 0 |
---|
995 | DO l = 1, la |
---|
996 | i = ibase |
---|
997 | j = jbase |
---|
998 | !DIR$ IVDEP |
---|
999 | !CDIR NODEP |
---|
1000 | !OCL NOVREC |
---|
1001 | DO ijk = 1, lot |
---|
1002 | c(ja+j) = (a(ia+i)+0.5*(a(ic+i)-a(ie+i))) + sin60*(a(ib+i)-a(if+i)) |
---|
1003 | d(ja+j) = -(a(id+i)+0.5*(a(ib+i)+a(if+i))) - sin60*(a(ic+i)+a(ie+i)) |
---|
1004 | c(jb+j) = a(ia+i) - (a(ic+i)-a(ie+i)) |
---|
1005 | d(jb+j) = a(id+i) - (a(ib+i)+a(if+i)) |
---|
1006 | c(jc+j) = (a(ia+i)+0.5*(a(ic+i)-a(ie+i))) - sin60*(a(ib+i)-a(if+i)) |
---|
1007 | d(jc+j) = -(a(id+i)+0.5*(a(ib+i)+a(if+i))) + sin60*(a(ic+i)+a(ie+i)) |
---|
1008 | i = i + inc3 |
---|
1009 | j = j + inc4 |
---|
1010 | END DO |
---|
1011 | ibase = ibase + inc1 |
---|
1012 | jbase = jbase + inc2 |
---|
1013 | END DO |
---|
1014 | |
---|
1015 | GO TO 170 |
---|
1016 | 150 CONTINUE |
---|
1017 | z = 1.0/REAL(n) |
---|
1018 | zsin60 = z*sin60 |
---|
1019 | DO l = 1, la |
---|
1020 | i = ibase |
---|
1021 | j = jbase |
---|
1022 | !DIR$ IVDEP |
---|
1023 | !CDIR NODEP |
---|
1024 | !OCL NOVREC |
---|
1025 | DO ijk = 1, lot |
---|
1026 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
---|
1027 | c(ja+j) = z*((a(ia+i)+a(id+i))+a11) |
---|
1028 | c(jc+j) = z*((a(ia+i)+a(id+i))-0.5*a11) |
---|
1029 | d(jc+j) = zsin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
---|
1030 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
---|
1031 | c(jb+j) = z*((a(ia+i)-a(id+i))-0.5*a11) |
---|
1032 | d(jb+j) = zsin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
---|
1033 | c(jd+j) = z*((a(ia+i)-a(id+i))+a11) |
---|
1034 | i = i + inc3 |
---|
1035 | j = j + inc4 |
---|
1036 | END DO |
---|
1037 | ibase = ibase + inc1 |
---|
1038 | jbase = jbase + inc2 |
---|
1039 | END DO |
---|
1040 | GO TO 170 |
---|
1041 | |
---|
1042 | ! Coding for factor 8 |
---|
1043 | |
---|
1044 | 160 CONTINUE |
---|
1045 | ibad = 3 |
---|
1046 | IF (la/=m) GO TO 180 |
---|
1047 | ia = 1 |
---|
1048 | ib = ia + iink |
---|
1049 | ic = ib + iink |
---|
1050 | id = ic + iink |
---|
1051 | ie = id + iink |
---|
1052 | if = ie + iink |
---|
1053 | ig = if + iink |
---|
1054 | ih = ig + iink |
---|
1055 | ja = 1 |
---|
1056 | jb = ja + la*inc2 |
---|
1057 | jc = jb + 2*m*inc2 |
---|
1058 | jd = jc + 2*m*inc2 |
---|
1059 | je = jd + 2*m*inc2 |
---|
1060 | z = 1.0/REAL(n) |
---|
1061 | zsin45 = z*SQRT(0.5) |
---|
1062 | |
---|
1063 | DO l = 1, la |
---|
1064 | i = ibase |
---|
1065 | j = jbase |
---|
1066 | !DIR$ IVDEP |
---|
1067 | !CDIR NODEP |
---|
1068 | !OCL NOVREC |
---|
1069 | DO ijk = 1, lot |
---|
1070 | c(ja+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))+((a(id+i)+ & |
---|
1071 | & a(ih+i))+(a(ib+i)+a(if+i)))) |
---|
1072 | c(je+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))-((a(id+i)+ & |
---|
1073 | & a(ih+i))+(a(ib+i)+a(if+i)))) |
---|
1074 | c(jc+j) = z*((a(ia+i)+a(ie+i))-(a(ic+i)+a(ig+i))) |
---|
1075 | d(jc+j) = z*((a(id+i)+a(ih+i))-(a(ib+i)+a(if+i))) |
---|
1076 | c(jb+j) = z*(a(ia+i)-a(ie+i)) + zsin45*((a(ih+i)-a(id+i))-(a(if+ & |
---|
1077 | & i)-a(ib+i))) |
---|
1078 | c(jd+j) = z*(a(ia+i)-a(ie+i)) - zsin45*((a(ih+i)-a(id+i))-(a(if+ & |
---|
1079 | & i)-a(ib+i))) |
---|
1080 | d(jb+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) + & |
---|
1081 | & z*(a(ig+i)-a(ic+i)) |
---|
1082 | d(jd+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) - & |
---|
1083 | & z*(a(ig+i)-a(ic+i)) |
---|
1084 | i = i + inc3 |
---|
1085 | j = j + inc4 |
---|
1086 | END DO |
---|
1087 | ibase = ibase + inc1 |
---|
1088 | jbase = jbase + inc2 |
---|
1089 | END DO |
---|
1090 | |
---|
1091 | ! Return |
---|
1092 | |
---|
1093 | 170 CONTINUE |
---|
1094 | ibad = 0 |
---|
1095 | 180 CONTINUE |
---|
1096 | ierr = ibad |
---|
1097 | RETURN |
---|
1098 | END SUBROUTINE qpassm |
---|
1099 | |
---|
1100 | SUBROUTINE rpassm(a,b,c,d,trigs,inc1,inc2,inc3,inc4,lot,n,ifac,la,ierr) |
---|
1101 | ! Dimension a(n),b(n),c(n),d(n),trigs(n) |
---|
1102 | |
---|
1103 | IMPLICIT NONE |
---|
1104 | |
---|
1105 | ! Scalar arguments |
---|
1106 | INTEGER :: ierr, ifac, inc1, inc2, inc3, inc4, la, lot, n |
---|
1107 | |
---|
1108 | ! Array arguments |
---|
1109 | REAL :: a(*), b(*), c(*), d(*), trigs(*) |
---|
1110 | |
---|
1111 | ! Local scalars: |
---|
1112 | REAL :: c1, c2, c3, c4, c5, qqrt5, qrt5, s1, s2, s3, s4, s5, sin36, sin45, & |
---|
1113 | & sin60, sin72, ssin36, ssin45, ssin60, ssin72 |
---|
1114 | INTEGER :: i, ia, ib, ibad, ibase, ic, id, ie, if, igo, iink, ijk, j, ja, & |
---|
1115 | & jb, jbase, jc, jd, je, jf, jg, jh, jink, jump, k, kb, kc, kd, ke, kf, & |
---|
1116 | & kstop, l, m |
---|
1117 | |
---|
1118 | ! Local arrays: |
---|
1119 | REAL :: a10(nfft), a11(nfft), a20(nfft), a21(nfft), b10(nfft), b11(nfft), b20(nfft), & |
---|
1120 | & b21(nfft) |
---|
1121 | |
---|
1122 | ! Intrinsic functions |
---|
1123 | INTRINSIC SQRT |
---|
1124 | |
---|
1125 | ! Data statements |
---|
1126 | DATA sin36/0.587785252292473/, sin72/0.951056516295154/, & |
---|
1127 | & qrt5/0.559016994374947/, sin60/0.866025403784437/ |
---|
1128 | |
---|
1129 | |
---|
1130 | ! Executable statements |
---|
1131 | |
---|
1132 | m = n/ifac |
---|
1133 | iink = la*inc1 |
---|
1134 | jink = la*inc2 |
---|
1135 | jump = (ifac-1)*jink |
---|
1136 | kstop = (n-ifac)/(2*ifac) |
---|
1137 | |
---|
1138 | ibad = 1 |
---|
1139 | IF (lot>nfft) GO TO 180 |
---|
1140 | ibase = 0 |
---|
1141 | jbase = 0 |
---|
1142 | igo = ifac - 1 |
---|
1143 | IF (igo==7) igo = 6 |
---|
1144 | ibad = 2 |
---|
1145 | IF (igo<1 .OR. igo>6) GO TO 180 |
---|
1146 | GO TO (10,40,70,100,130,160) igo |
---|
1147 | |
---|
1148 | ! Coding for factor 2 |
---|
1149 | |
---|
1150 | 10 CONTINUE |
---|
1151 | ia = 1 |
---|
1152 | ib = ia + (2*m-la)*inc1 |
---|
1153 | ja = 1 |
---|
1154 | jb = ja + jink |
---|
1155 | |
---|
1156 | IF (la==m) GO TO 30 |
---|
1157 | |
---|
1158 | DO l = 1, la |
---|
1159 | i = ibase |
---|
1160 | j = jbase |
---|
1161 | !DIR$ IVDEP |
---|
1162 | !CDIR NODEP |
---|
1163 | !OCL NOVREC |
---|
1164 | DO ijk = 1, lot |
---|
1165 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1166 | c(jb+j) = a(ia+i) - a(ib+i) |
---|
1167 | i = i + inc3 |
---|
1168 | j = j + inc4 |
---|
1169 | END DO |
---|
1170 | ibase = ibase + inc1 |
---|
1171 | jbase = jbase + inc2 |
---|
1172 | END DO |
---|
1173 | ia = ia + iink |
---|
1174 | iink = 2*iink |
---|
1175 | ib = ib - iink |
---|
1176 | ibase = 0 |
---|
1177 | jbase = jbase + jump |
---|
1178 | jump = 2*jump + jink |
---|
1179 | IF (ia==ib) GO TO 20 |
---|
1180 | DO k = la, kstop, la |
---|
1181 | kb = k + k |
---|
1182 | c1 = trigs(kb+1) |
---|
1183 | s1 = trigs(kb+2) |
---|
1184 | ibase = 0 |
---|
1185 | DO l = 1, la |
---|
1186 | i = ibase |
---|
1187 | j = jbase |
---|
1188 | !DIR$ IVDEP |
---|
1189 | !CDIR NODEP |
---|
1190 | !OCL NOVREC |
---|
1191 | DO ijk = 1, lot |
---|
1192 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1193 | d(ja+j) = b(ia+i) - b(ib+i) |
---|
1194 | c(jb+j) = c1*(a(ia+i)-a(ib+i)) - s1*(b(ia+i)+b(ib+i)) |
---|
1195 | d(jb+j) = s1*(a(ia+i)-a(ib+i)) + c1*(b(ia+i)+b(ib+i)) |
---|
1196 | i = i + inc3 |
---|
1197 | j = j + inc4 |
---|
1198 | END DO |
---|
1199 | ibase = ibase + inc1 |
---|
1200 | jbase = jbase + inc2 |
---|
1201 | END DO |
---|
1202 | ia = ia + iink |
---|
1203 | ib = ib - iink |
---|
1204 | jbase = jbase + jump |
---|
1205 | END DO |
---|
1206 | IF (ia>ib) GO TO 170 |
---|
1207 | 20 CONTINUE |
---|
1208 | ibase = 0 |
---|
1209 | DO l = 1, la |
---|
1210 | i = ibase |
---|
1211 | j = jbase |
---|
1212 | !DIR$ IVDEP |
---|
1213 | !CDIR NODEP |
---|
1214 | !OCL NOVREC |
---|
1215 | DO ijk = 1, lot |
---|
1216 | c(ja+j) = a(ia+i) |
---|
1217 | c(jb+j) = -b(ia+i) |
---|
1218 | i = i + inc3 |
---|
1219 | j = j + inc4 |
---|
1220 | END DO |
---|
1221 | ibase = ibase + inc1 |
---|
1222 | jbase = jbase + inc2 |
---|
1223 | END DO |
---|
1224 | |
---|
1225 | GO TO 170 |
---|
1226 | 30 CONTINUE |
---|
1227 | DO l = 1, la |
---|
1228 | i = ibase |
---|
1229 | j = jbase |
---|
1230 | !DIR$ IVDEP |
---|
1231 | !CDIR NODEP |
---|
1232 | !OCL NOVREC |
---|
1233 | DO ijk = 1, lot |
---|
1234 | c(ja+j) = 2.0*(a(ia+i)+a(ib+i)) |
---|
1235 | c(jb+j) = 2.0*(a(ia+i)-a(ib+i)) |
---|
1236 | i = i + inc3 |
---|
1237 | j = j + inc4 |
---|
1238 | END DO |
---|
1239 | ibase = ibase + inc1 |
---|
1240 | jbase = jbase + inc2 |
---|
1241 | END DO |
---|
1242 | GO TO 170 |
---|
1243 | |
---|
1244 | ! Coding for factor 3 |
---|
1245 | |
---|
1246 | 40 CONTINUE |
---|
1247 | ia = 1 |
---|
1248 | ib = ia + (2*m-la)*inc1 |
---|
1249 | ic = ib |
---|
1250 | ja = 1 |
---|
1251 | jb = ja + jink |
---|
1252 | jc = jb + jink |
---|
1253 | |
---|
1254 | IF (la==m) GO TO 60 |
---|
1255 | |
---|
1256 | DO l = 1, la |
---|
1257 | i = ibase |
---|
1258 | j = jbase |
---|
1259 | !DIR$ IVDEP |
---|
1260 | !CDIR NODEP |
---|
1261 | !OCL NOVREC |
---|
1262 | DO ijk = 1, lot |
---|
1263 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1264 | c(jb+j) = (a(ia+i)-0.5*a(ib+i)) - (sin60*(b(ib+i))) |
---|
1265 | c(jc+j) = (a(ia+i)-0.5*a(ib+i)) + (sin60*(b(ib+i))) |
---|
1266 | i = i + inc3 |
---|
1267 | j = j + inc4 |
---|
1268 | END DO |
---|
1269 | ibase = ibase + inc1 |
---|
1270 | jbase = jbase + inc2 |
---|
1271 | END DO |
---|
1272 | ia = ia + iink |
---|
1273 | iink = 2*iink |
---|
1274 | ib = ib + iink |
---|
1275 | ic = ic - iink |
---|
1276 | jbase = jbase + jump |
---|
1277 | jump = 2*jump + jink |
---|
1278 | IF (ia==ic) GO TO 50 |
---|
1279 | DO k = la, kstop, la |
---|
1280 | kb = k + k |
---|
1281 | kc = kb + kb |
---|
1282 | c1 = trigs(kb+1) |
---|
1283 | s1 = trigs(kb+2) |
---|
1284 | c2 = trigs(kc+1) |
---|
1285 | s2 = trigs(kc+2) |
---|
1286 | ibase = 0 |
---|
1287 | DO l = 1, la |
---|
1288 | i = ibase |
---|
1289 | j = jbase |
---|
1290 | !DIR$ IVDEP |
---|
1291 | !CDIR NODEP |
---|
1292 | !OCL NOVREC |
---|
1293 | DO ijk = 1, lot |
---|
1294 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
---|
1295 | d(ja+j) = b(ia+i) + (b(ib+i)-b(ic+i)) |
---|
1296 | c(jb+j) = c1*((a(ia+i)-0.5*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ & |
---|
1297 | & b(ic+i)))) - s1*((b(ia+i)-0.5*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- & |
---|
1298 | & a(ic+i)))) |
---|
1299 | d(jb+j) = s1*((a(ia+i)-0.5*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ & |
---|
1300 | & b(ic+i)))) + c1*((b(ia+i)-0.5*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- & |
---|
1301 | & a(ic+i)))) |
---|
1302 | c(jc+j) = c2*((a(ia+i)-0.5*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ & |
---|
1303 | & b(ic+i)))) - s2*((b(ia+i)-0.5*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- & |
---|
1304 | & a(ic+i)))) |
---|
1305 | d(jc+j) = s2*((a(ia+i)-0.5*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ & |
---|
1306 | & b(ic+i)))) + c2*((b(ia+i)-0.5*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- & |
---|
1307 | & a(ic+i)))) |
---|
1308 | i = i + inc3 |
---|
1309 | j = j + inc4 |
---|
1310 | END DO |
---|
1311 | ibase = ibase + inc1 |
---|
1312 | jbase = jbase + inc2 |
---|
1313 | END DO |
---|
1314 | ia = ia + iink |
---|
1315 | ib = ib + iink |
---|
1316 | ic = ic - iink |
---|
1317 | jbase = jbase + jump |
---|
1318 | END DO |
---|
1319 | IF (ia>ic) GO TO 170 |
---|
1320 | 50 CONTINUE |
---|
1321 | ibase = 0 |
---|
1322 | DO l = 1, la |
---|
1323 | i = ibase |
---|
1324 | j = jbase |
---|
1325 | !DIR$ IVDEP |
---|
1326 | !CDIR NODEP |
---|
1327 | !OCL NOVREC |
---|
1328 | DO ijk = 1, lot |
---|
1329 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1330 | c(jb+j) = (0.5*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
---|
1331 | c(jc+j) = -(0.5*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
---|
1332 | i = i + inc3 |
---|
1333 | j = j + inc4 |
---|
1334 | END DO |
---|
1335 | ibase = ibase + inc1 |
---|
1336 | jbase = jbase + inc2 |
---|
1337 | END DO |
---|
1338 | |
---|
1339 | GO TO 170 |
---|
1340 | 60 CONTINUE |
---|
1341 | ssin60 = 2.0*sin60 |
---|
1342 | DO l = 1, la |
---|
1343 | i = ibase |
---|
1344 | j = jbase |
---|
1345 | !DIR$ IVDEP |
---|
1346 | !CDIR NODEP |
---|
1347 | !OCL NOVREC |
---|
1348 | DO ijk = 1, lot |
---|
1349 | c(ja+j) = 2.0*(a(ia+i)+a(ib+i)) |
---|
1350 | c(jb+j) = (2.0*a(ia+i)-a(ib+i)) - (ssin60*b(ib+i)) |
---|
1351 | c(jc+j) = (2.0*a(ia+i)-a(ib+i)) + (ssin60*b(ib+i)) |
---|
1352 | i = i + inc3 |
---|
1353 | j = j + inc4 |
---|
1354 | END DO |
---|
1355 | ibase = ibase + inc1 |
---|
1356 | jbase = jbase + inc2 |
---|
1357 | END DO |
---|
1358 | GO TO 170 |
---|
1359 | |
---|
1360 | ! Coding for factor 4 |
---|
1361 | |
---|
1362 | 70 CONTINUE |
---|
1363 | ia = 1 |
---|
1364 | ib = ia + (2*m-la)*inc1 |
---|
1365 | ic = ib + 2*m*inc1 |
---|
1366 | id = ib |
---|
1367 | ja = 1 |
---|
1368 | jb = ja + jink |
---|
1369 | jc = jb + jink |
---|
1370 | jd = jc + jink |
---|
1371 | |
---|
1372 | IF (la==m) GO TO 90 |
---|
1373 | |
---|
1374 | DO l = 1, la |
---|
1375 | i = ibase |
---|
1376 | j = jbase |
---|
1377 | !DIR$ IVDEP |
---|
1378 | !CDIR NODEP |
---|
1379 | !OCL NOVREC |
---|
1380 | DO ijk = 1, lot |
---|
1381 | c(ja+j) = (a(ia+i)+a(ic+i)) + a(ib+i) |
---|
1382 | c(jb+j) = (a(ia+i)-a(ic+i)) - b(ib+i) |
---|
1383 | c(jc+j) = (a(ia+i)+a(ic+i)) - a(ib+i) |
---|
1384 | c(jd+j) = (a(ia+i)-a(ic+i)) + b(ib+i) |
---|
1385 | i = i + inc3 |
---|
1386 | j = j + inc4 |
---|
1387 | END DO |
---|
1388 | ibase = ibase + inc1 |
---|
1389 | jbase = jbase + inc2 |
---|
1390 | END DO |
---|
1391 | ia = ia + iink |
---|
1392 | iink = 2*iink |
---|
1393 | ib = ib + iink |
---|
1394 | ic = ic - iink |
---|
1395 | id = id - iink |
---|
1396 | jbase = jbase + jump |
---|
1397 | jump = 2*jump + jink |
---|
1398 | IF (ib==ic) GO TO 80 |
---|
1399 | DO k = la, kstop, la |
---|
1400 | kb = k + k |
---|
1401 | kc = kb + kb |
---|
1402 | kd = kc + kb |
---|
1403 | c1 = trigs(kb+1) |
---|
1404 | s1 = trigs(kb+2) |
---|
1405 | c2 = trigs(kc+1) |
---|
1406 | s2 = trigs(kc+2) |
---|
1407 | c3 = trigs(kd+1) |
---|
1408 | s3 = trigs(kd+2) |
---|
1409 | ibase = 0 |
---|
1410 | DO l = 1, la |
---|
1411 | i = ibase |
---|
1412 | j = jbase |
---|
1413 | !DIR$ IVDEP |
---|
1414 | !CDIR NODEP |
---|
1415 | !OCL NOVREC |
---|
1416 | DO ijk = 1, lot |
---|
1417 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
---|
1418 | d(ja+j) = (b(ia+i)-b(ic+i)) + (b(ib+i)-b(id+i)) |
---|
1419 | c(jc+j) = c2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) - s2*((b(ia+ & |
---|
1420 | & i)-b(ic+i))-(b(ib+i)-b(id+i))) |
---|
1421 | d(jc+j) = s2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) + c2*((b(ia+ & |
---|
1422 | & i)-b(ic+i))-(b(ib+i)-b(id+i))) |
---|
1423 | c(jb+j) = c1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) - s1*((b(ia+ & |
---|
1424 | & i)+b(ic+i))+(a(ib+i)-a(id+i))) |
---|
1425 | d(jb+j) = s1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) + c1*((b(ia+ & |
---|
1426 | & i)+b(ic+i))+(a(ib+i)-a(id+i))) |
---|
1427 | c(jd+j) = c3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) - s3*((b(ia+ & |
---|
1428 | & i)+b(ic+i))-(a(ib+i)-a(id+i))) |
---|
1429 | d(jd+j) = s3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) + c3*((b(ia+ & |
---|
1430 | & i)+b(ic+i))-(a(ib+i)-a(id+i))) |
---|
1431 | i = i + inc3 |
---|
1432 | j = j + inc4 |
---|
1433 | END DO |
---|
1434 | ibase = ibase + inc1 |
---|
1435 | jbase = jbase + inc2 |
---|
1436 | END DO |
---|
1437 | ia = ia + iink |
---|
1438 | ib = ib + iink |
---|
1439 | ic = ic - iink |
---|
1440 | id = id - iink |
---|
1441 | jbase = jbase + jump |
---|
1442 | END DO |
---|
1443 | IF (ib>ic) GO TO 170 |
---|
1444 | 80 CONTINUE |
---|
1445 | ibase = 0 |
---|
1446 | sin45 = SQRT(0.5) |
---|
1447 | DO l = 1, la |
---|
1448 | i = ibase |
---|
1449 | j = jbase |
---|
1450 | !DIR$ IVDEP |
---|
1451 | !CDIR NODEP |
---|
1452 | !OCL NOVREC |
---|
1453 | DO ijk = 1, lot |
---|
1454 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1455 | c(jb+j) = sin45*((a(ia+i)-a(ib+i))-(b(ia+i)+b(ib+i))) |
---|
1456 | c(jc+j) = b(ib+i) - b(ia+i) |
---|
1457 | c(jd+j) = -sin45*((a(ia+i)-a(ib+i))+(b(ia+i)+b(ib+i))) |
---|
1458 | i = i + inc3 |
---|
1459 | j = j + inc4 |
---|
1460 | END DO |
---|
1461 | ibase = ibase + inc1 |
---|
1462 | jbase = jbase + inc2 |
---|
1463 | END DO |
---|
1464 | |
---|
1465 | GO TO 170 |
---|
1466 | 90 CONTINUE |
---|
1467 | DO l = 1, la |
---|
1468 | i = ibase |
---|
1469 | j = jbase |
---|
1470 | !DIR$ IVDEP |
---|
1471 | !CDIR NODEP |
---|
1472 | !OCL NOVREC |
---|
1473 | DO ijk = 1, lot |
---|
1474 | c(ja+j) = 2.0*((a(ia+i)+a(ic+i))+a(ib+i)) |
---|
1475 | c(jb+j) = 2.0*((a(ia+i)-a(ic+i))-b(ib+i)) |
---|
1476 | c(jc+j) = 2.0*((a(ia+i)+a(ic+i))-a(ib+i)) |
---|
1477 | c(jd+j) = 2.0*((a(ia+i)-a(ic+i))+b(ib+i)) |
---|
1478 | i = i + inc3 |
---|
1479 | j = j + inc4 |
---|
1480 | END DO |
---|
1481 | ibase = ibase + inc1 |
---|
1482 | jbase = jbase + inc2 |
---|
1483 | END DO |
---|
1484 | |
---|
1485 | ! Coding for factor 5 |
---|
1486 | |
---|
1487 | GO TO 170 |
---|
1488 | 100 CONTINUE |
---|
1489 | ia = 1 |
---|
1490 | ib = ia + (2*m-la)*inc1 |
---|
1491 | ic = ib + 2*m*inc1 |
---|
1492 | id = ic |
---|
1493 | ie = ib |
---|
1494 | ja = 1 |
---|
1495 | jb = ja + jink |
---|
1496 | jc = jb + jink |
---|
1497 | jd = jc + jink |
---|
1498 | je = jd + jink |
---|
1499 | |
---|
1500 | IF (la==m) GO TO 120 |
---|
1501 | |
---|
1502 | DO l = 1, la |
---|
1503 | i = ibase |
---|
1504 | j = jbase |
---|
1505 | !DIR$ IVDEP |
---|
1506 | !CDIR NODEP |
---|
1507 | !OCL NOVREC |
---|
1508 | DO ijk = 1, lot |
---|
1509 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
---|
1510 | c(jb+j) = ((a(ia+i)-0.25*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) - & |
---|
1511 | & (sin72*b(ib+i)+sin36*b(ic+i)) |
---|
1512 | c(jc+j) = ((a(ia+i)-0.25*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) - & |
---|
1513 | & (sin36*b(ib+i)-sin72*b(ic+i)) |
---|
1514 | c(jd+j) = ((a(ia+i)-0.25*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) + & |
---|
1515 | & (sin36*b(ib+i)-sin72*b(ic+i)) |
---|
1516 | c(je+j) = ((a(ia+i)-0.25*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) + & |
---|
1517 | & (sin72*b(ib+i)+sin36*b(ic+i)) |
---|
1518 | i = i + inc3 |
---|
1519 | j = j + inc4 |
---|
1520 | END DO |
---|
1521 | ibase = ibase + inc1 |
---|
1522 | jbase = jbase + inc2 |
---|
1523 | END DO |
---|
1524 | ia = ia + iink |
---|
1525 | iink = 2*iink |
---|
1526 | ib = ib + iink |
---|
1527 | ic = ic + iink |
---|
1528 | id = id - iink |
---|
1529 | ie = ie - iink |
---|
1530 | jbase = jbase + jump |
---|
1531 | jump = 2*jump + jink |
---|
1532 | IF (ib==id) GO TO 110 |
---|
1533 | DO k = la, kstop, la |
---|
1534 | kb = k + k |
---|
1535 | kc = kb + kb |
---|
1536 | kd = kc + kb |
---|
1537 | ke = kd + kb |
---|
1538 | c1 = trigs(kb+1) |
---|
1539 | s1 = trigs(kb+2) |
---|
1540 | c2 = trigs(kc+1) |
---|
1541 | s2 = trigs(kc+2) |
---|
1542 | c3 = trigs(kd+1) |
---|
1543 | s3 = trigs(kd+2) |
---|
1544 | c4 = trigs(ke+1) |
---|
1545 | s4 = trigs(ke+2) |
---|
1546 | ibase = 0 |
---|
1547 | DO l = 1, la |
---|
1548 | i = ibase |
---|
1549 | j = jbase |
---|
1550 | !DIR$ IVDEP |
---|
1551 | !CDIR NODEP |
---|
1552 | !OCL NOVREC |
---|
1553 | DO ijk = 1, lot |
---|
1554 | |
---|
1555 | a10(ijk) = (a(ia+i)-0.25*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) + & |
---|
1556 | & qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
---|
1557 | a20(ijk) = (a(ia+i)-0.25*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) - & |
---|
1558 | & qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
---|
1559 | b10(ijk) = (b(ia+i)-0.25*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) + & |
---|
1560 | & qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
---|
1561 | b20(ijk) = (b(ia+i)-0.25*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) - & |
---|
1562 | & qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
---|
1563 | a11(ijk) = sin72*(b(ib+i)+b(ie+i)) + sin36*(b(ic+i)+b(id+i)) |
---|
1564 | a21(ijk) = sin36*(b(ib+i)+b(ie+i)) - sin72*(b(ic+i)+b(id+i)) |
---|
1565 | b11(ijk) = sin72*(a(ib+i)-a(ie+i)) + sin36*(a(ic+i)-a(id+i)) |
---|
1566 | b21(ijk) = sin36*(a(ib+i)-a(ie+i)) - sin72*(a(ic+i)-a(id+i)) |
---|
1567 | |
---|
1568 | c(ja+j) = a(ia+i) + ((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i))) |
---|
1569 | d(ja+j) = b(ia+i) + ((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i))) |
---|
1570 | c(jb+j) = c1*(a10(ijk)-a11(ijk)) - s1*(b10(ijk)+b11(ijk)) |
---|
1571 | d(jb+j) = s1*(a10(ijk)-a11(ijk)) + c1*(b10(ijk)+b11(ijk)) |
---|
1572 | c(je+j) = c4*(a10(ijk)+a11(ijk)) - s4*(b10(ijk)-b11(ijk)) |
---|
1573 | d(je+j) = s4*(a10(ijk)+a11(ijk)) + c4*(b10(ijk)-b11(ijk)) |
---|
1574 | c(jc+j) = c2*(a20(ijk)-a21(ijk)) - s2*(b20(ijk)+b21(ijk)) |
---|
1575 | d(jc+j) = s2*(a20(ijk)-a21(ijk)) + c2*(b20(ijk)+b21(ijk)) |
---|
1576 | c(jd+j) = c3*(a20(ijk)+a21(ijk)) - s3*(b20(ijk)-b21(ijk)) |
---|
1577 | d(jd+j) = s3*(a20(ijk)+a21(ijk)) + c3*(b20(ijk)-b21(ijk)) |
---|
1578 | |
---|
1579 | i = i + inc3 |
---|
1580 | j = j + inc4 |
---|
1581 | END DO |
---|
1582 | ibase = ibase + inc1 |
---|
1583 | jbase = jbase + inc2 |
---|
1584 | END DO |
---|
1585 | ia = ia + iink |
---|
1586 | ib = ib + iink |
---|
1587 | ic = ic + iink |
---|
1588 | id = id - iink |
---|
1589 | ie = ie - iink |
---|
1590 | jbase = jbase + jump |
---|
1591 | END DO |
---|
1592 | IF (ib>id) GO TO 170 |
---|
1593 | 110 CONTINUE |
---|
1594 | ibase = 0 |
---|
1595 | DO l = 1, la |
---|
1596 | i = ibase |
---|
1597 | j = jbase |
---|
1598 | !DIR$ IVDEP |
---|
1599 | !CDIR NODEP |
---|
1600 | !OCL NOVREC |
---|
1601 | DO ijk = 1, lot |
---|
1602 | c(ja+j) = (a(ia+i)+a(ib+i)) + a(ic+i) |
---|
1603 | c(jb+j) = (qrt5*(a(ia+i)-a(ib+i))+(0.25*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1604 | & (sin36*b(ia+i)+sin72*b(ib+i)) |
---|
1605 | c(je+j) = -(qrt5*(a(ia+i)-a(ib+i))+(0.25*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1606 | & (sin36*b(ia+i)+sin72*b(ib+i)) |
---|
1607 | c(jc+j) = (qrt5*(a(ia+i)-a(ib+i))-(0.25*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1608 | & (sin72*b(ia+i)-sin36*b(ib+i)) |
---|
1609 | c(jd+j) = -(qrt5*(a(ia+i)-a(ib+i))-(0.25*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1610 | & (sin72*b(ia+i)-sin36*b(ib+i)) |
---|
1611 | i = i + inc3 |
---|
1612 | j = j + inc4 |
---|
1613 | END DO |
---|
1614 | ibase = ibase + inc1 |
---|
1615 | jbase = jbase + inc2 |
---|
1616 | END DO |
---|
1617 | |
---|
1618 | GO TO 170 |
---|
1619 | 120 CONTINUE |
---|
1620 | qqrt5 = 2.0*qrt5 |
---|
1621 | ssin36 = 2.0*sin36 |
---|
1622 | ssin72 = 2.0*sin72 |
---|
1623 | DO l = 1, la |
---|
1624 | i = ibase |
---|
1625 | j = jbase |
---|
1626 | !DIR$ IVDEP |
---|
1627 | !CDIR NODEP |
---|
1628 | !OCL NOVREC |
---|
1629 | DO ijk = 1, lot |
---|
1630 | c(ja+j) = 2.0*(a(ia+i)+(a(ib+i)+a(ic+i))) |
---|
1631 | c(jb+j) = (2.0*(a(ia+i)-0.25*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+ & |
---|
1632 | & i))) - (ssin72*b(ib+i)+ssin36*b(ic+i)) |
---|
1633 | c(jc+j) = (2.0*(a(ia+i)-0.25*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+ & |
---|
1634 | & i))) - (ssin36*b(ib+i)-ssin72*b(ic+i)) |
---|
1635 | c(jd+j) = (2.0*(a(ia+i)-0.25*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+ & |
---|
1636 | & i))) + (ssin36*b(ib+i)-ssin72*b(ic+i)) |
---|
1637 | c(je+j) = (2.0*(a(ia+i)-0.25*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+ & |
---|
1638 | & i))) + (ssin72*b(ib+i)+ssin36*b(ic+i)) |
---|
1639 | i = i + inc3 |
---|
1640 | j = j + inc4 |
---|
1641 | END DO |
---|
1642 | ibase = ibase + inc1 |
---|
1643 | jbase = jbase + inc2 |
---|
1644 | END DO |
---|
1645 | GO TO 170 |
---|
1646 | |
---|
1647 | ! Coding for factor 6 |
---|
1648 | |
---|
1649 | 130 CONTINUE |
---|
1650 | ia = 1 |
---|
1651 | ib = ia + (2*m-la)*inc1 |
---|
1652 | ic = ib + 2*m*inc1 |
---|
1653 | id = ic + 2*m*inc1 |
---|
1654 | ie = ic |
---|
1655 | if = ib |
---|
1656 | ja = 1 |
---|
1657 | jb = ja + jink |
---|
1658 | jc = jb + jink |
---|
1659 | jd = jc + jink |
---|
1660 | je = jd + jink |
---|
1661 | jf = je + jink |
---|
1662 | |
---|
1663 | IF (la==m) GO TO 150 |
---|
1664 | |
---|
1665 | DO l = 1, la |
---|
1666 | i = ibase |
---|
1667 | j = jbase |
---|
1668 | !DIR$ IVDEP |
---|
1669 | !CDIR NODEP |
---|
1670 | !OCL NOVREC |
---|
1671 | DO ijk = 1, lot |
---|
1672 | c(ja+j) = (a(ia+i)+a(id+i)) + (a(ib+i)+a(ic+i)) |
---|
1673 | c(jd+j) = (a(ia+i)-a(id+i)) - (a(ib+i)-a(ic+i)) |
---|
1674 | c(jb+j) = ((a(ia+i)-a(id+i))+0.5*(a(ib+i)-a(ic+i))) - (sin60*(b(ib+ & |
---|
1675 | & i)+b(ic+i))) |
---|
1676 | c(jf+j) = ((a(ia+i)-a(id+i))+0.5*(a(ib+i)-a(ic+i))) + (sin60*(b(ib+ & |
---|
1677 | & i)+b(ic+i))) |
---|
1678 | c(jc+j) = ((a(ia+i)+a(id+i))-0.5*(a(ib+i)+a(ic+i))) - (sin60*(b(ib+ & |
---|
1679 | & i)-b(ic+i))) |
---|
1680 | c(je+j) = ((a(ia+i)+a(id+i))-0.5*(a(ib+i)+a(ic+i))) + (sin60*(b(ib+ & |
---|
1681 | & i)-b(ic+i))) |
---|
1682 | i = i + inc3 |
---|
1683 | j = j + inc4 |
---|
1684 | END DO |
---|
1685 | ibase = ibase + inc1 |
---|
1686 | jbase = jbase + inc2 |
---|
1687 | END DO |
---|
1688 | ia = ia + iink |
---|
1689 | iink = 2*iink |
---|
1690 | ib = ib + iink |
---|
1691 | ic = ic + iink |
---|
1692 | id = id - iink |
---|
1693 | ie = ie - iink |
---|
1694 | if = if - iink |
---|
1695 | jbase = jbase + jump |
---|
1696 | jump = 2*jump + jink |
---|
1697 | IF (ic==id) GO TO 140 |
---|
1698 | DO k = la, kstop, la |
---|
1699 | kb = k + k |
---|
1700 | kc = kb + kb |
---|
1701 | kd = kc + kb |
---|
1702 | ke = kd + kb |
---|
1703 | kf = ke + kb |
---|
1704 | c1 = trigs(kb+1) |
---|
1705 | s1 = trigs(kb+2) |
---|
1706 | c2 = trigs(kc+1) |
---|
1707 | s2 = trigs(kc+2) |
---|
1708 | c3 = trigs(kd+1) |
---|
1709 | s3 = trigs(kd+2) |
---|
1710 | c4 = trigs(ke+1) |
---|
1711 | s4 = trigs(ke+2) |
---|
1712 | c5 = trigs(kf+1) |
---|
1713 | s5 = trigs(kf+2) |
---|
1714 | ibase = 0 |
---|
1715 | DO l = 1, la |
---|
1716 | i = ibase |
---|
1717 | j = jbase |
---|
1718 | !DIR$ IVDEP |
---|
1719 | !CDIR NODEP |
---|
1720 | !OCL NOVREC |
---|
1721 | DO ijk = 1, lot |
---|
1722 | |
---|
1723 | a11(ijk) = (a(ie+i)+a(ib+i)) + (a(ic+i)+a(if+i)) |
---|
1724 | a20(ijk) = (a(ia+i)+a(id+i)) - 0.5*a11(ijk) |
---|
1725 | a21(ijk) = sin60*((a(ie+i)+a(ib+i))-(a(ic+i)+a(if+i))) |
---|
1726 | b11(ijk) = (b(ib+i)-b(ie+i)) + (b(ic+i)-b(if+i)) |
---|
1727 | b20(ijk) = (b(ia+i)-b(id+i)) - 0.5*b11(ijk) |
---|
1728 | b21(ijk) = sin60*((b(ib+i)-b(ie+i))-(b(ic+i)-b(if+i))) |
---|
1729 | |
---|
1730 | c(ja+j) = (a(ia+i)+a(id+i)) + a11(ijk) |
---|
1731 | d(ja+j) = (b(ia+i)-b(id+i)) + b11(ijk) |
---|
1732 | c(jc+j) = c2*(a20(ijk)-b21(ijk)) - s2*(b20(ijk)+a21(ijk)) |
---|
1733 | d(jc+j) = s2*(a20(ijk)-b21(ijk)) + c2*(b20(ijk)+a21(ijk)) |
---|
1734 | c(je+j) = c4*(a20(ijk)+b21(ijk)) - s4*(b20(ijk)-a21(ijk)) |
---|
1735 | d(je+j) = s4*(a20(ijk)+b21(ijk)) + c4*(b20(ijk)-a21(ijk)) |
---|
1736 | |
---|
1737 | a11(ijk) = (a(ie+i)-a(ib+i)) + (a(ic+i)-a(if+i)) |
---|
1738 | b11(ijk) = (b(ie+i)+b(ib+i)) - (b(ic+i)+b(if+i)) |
---|
1739 | a20(ijk) = (a(ia+i)-a(id+i)) - 0.5*a11(ijk) |
---|
1740 | a21(ijk) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
---|
1741 | b20(ijk) = (b(ia+i)+b(id+i)) + 0.5*b11(ijk) |
---|
1742 | b21(ijk) = sin60*((b(ie+i)+b(ib+i))+(b(ic+i)+b(if+i))) |
---|
1743 | |
---|
1744 | c(jd+j) = c3*((a(ia+i)-a(id+i))+a11(ijk)) - s3*((b(ia+i)+b(id+ & |
---|
1745 | & i))-b11(ijk)) |
---|
1746 | d(jd+j) = s3*((a(ia+i)-a(id+i))+a11(ijk)) + c3*((b(ia+i)+b(id+ & |
---|
1747 | & i))-b11(ijk)) |
---|
1748 | c(jb+j) = c1*(a20(ijk)-b21(ijk)) - s1*(b20(ijk)-a21(ijk)) |
---|
1749 | d(jb+j) = s1*(a20(ijk)-b21(ijk)) + c1*(b20(ijk)-a21(ijk)) |
---|
1750 | c(jf+j) = c5*(a20(ijk)+b21(ijk)) - s5*(b20(ijk)+a21(ijk)) |
---|
1751 | d(jf+j) = s5*(a20(ijk)+b21(ijk)) + c5*(b20(ijk)+a21(ijk)) |
---|
1752 | |
---|
1753 | i = i + inc3 |
---|
1754 | j = j + inc4 |
---|
1755 | END DO |
---|
1756 | ibase = ibase + inc1 |
---|
1757 | jbase = jbase + inc2 |
---|
1758 | END DO |
---|
1759 | ia = ia + iink |
---|
1760 | ib = ib + iink |
---|
1761 | ic = ic + iink |
---|
1762 | id = id - iink |
---|
1763 | ie = ie - iink |
---|
1764 | if = if - iink |
---|
1765 | jbase = jbase + jump |
---|
1766 | END DO |
---|
1767 | IF (ic>id) GO TO 170 |
---|
1768 | 140 CONTINUE |
---|
1769 | ibase = 0 |
---|
1770 | DO l = 1, la |
---|
1771 | i = ibase |
---|
1772 | j = jbase |
---|
1773 | !DIR$ IVDEP |
---|
1774 | !CDIR NODEP |
---|
1775 | !OCL NOVREC |
---|
1776 | DO ijk = 1, lot |
---|
1777 | c(ja+j) = a(ib+i) + (a(ia+i)+a(ic+i)) |
---|
1778 | c(jd+j) = b(ib+i) - (b(ia+i)+b(ic+i)) |
---|
1779 | c(jb+j) = (sin60*(a(ia+i)-a(ic+i))) - (0.5*(b(ia+i)+b(ic+i))+b(ib+i)) |
---|
1780 | c(jf+j) = -(sin60*(a(ia+i)-a(ic+i))) - (0.5*(b(ia+i)+b(ic+i))+b(ib+i)) |
---|
1781 | c(jc+j) = sin60*(b(ic+i)-b(ia+i)) + (0.5*(a(ia+i)+a(ic+i))-a(ib+i)) |
---|
1782 | c(je+j) = sin60*(b(ic+i)-b(ia+i)) - (0.5*(a(ia+i)+a(ic+i))-a(ib+i)) |
---|
1783 | i = i + inc3 |
---|
1784 | j = j + inc4 |
---|
1785 | END DO |
---|
1786 | ibase = ibase + inc1 |
---|
1787 | jbase = jbase + inc2 |
---|
1788 | END DO |
---|
1789 | |
---|
1790 | GO TO 170 |
---|
1791 | 150 CONTINUE |
---|
1792 | ssin60 = 2.0*sin60 |
---|
1793 | DO l = 1, la |
---|
1794 | i = ibase |
---|
1795 | j = jbase |
---|
1796 | !DIR$ IVDEP |
---|
1797 | !CDIR NODEP |
---|
1798 | !OCL NOVREC |
---|
1799 | DO ijk = 1, lot |
---|
1800 | c(ja+j) = (2.0*(a(ia+i)+a(id+i))) + (2.0*(a(ib+i)+a(ic+i))) |
---|
1801 | c(jd+j) = (2.0*(a(ia+i)-a(id+i))) - (2.0*(a(ib+i)-a(ic+i))) |
---|
1802 | c(jb+j) = (2.0*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) - (ssin60*(b(ib+ & |
---|
1803 | & i)+b(ic+i))) |
---|
1804 | c(jf+j) = (2.0*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) + (ssin60*(b(ib+ & |
---|
1805 | & i)+b(ic+i))) |
---|
1806 | c(jc+j) = (2.0*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) - (ssin60*(b(ib+ & |
---|
1807 | & i)-b(ic+i))) |
---|
1808 | c(je+j) = (2.0*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) + (ssin60*(b(ib+ & |
---|
1809 | & i)-b(ic+i))) |
---|
1810 | i = i + inc3 |
---|
1811 | j = j + inc4 |
---|
1812 | END DO |
---|
1813 | ibase = ibase + inc1 |
---|
1814 | jbase = jbase + inc2 |
---|
1815 | END DO |
---|
1816 | GO TO 170 |
---|
1817 | |
---|
1818 | ! Coding for factor 8 |
---|
1819 | |
---|
1820 | 160 CONTINUE |
---|
1821 | ibad = 3 |
---|
1822 | IF (la/=m) GO TO 180 |
---|
1823 | ia = 1 |
---|
1824 | ib = ia + la*inc1 |
---|
1825 | ic = ib + 2*la*inc1 |
---|
1826 | id = ic + 2*la*inc1 |
---|
1827 | ie = id + 2*la*inc1 |
---|
1828 | ja = 1 |
---|
1829 | jb = ja + jink |
---|
1830 | jc = jb + jink |
---|
1831 | jd = jc + jink |
---|
1832 | je = jd + jink |
---|
1833 | jf = je + jink |
---|
1834 | jg = jf + jink |
---|
1835 | jh = jg + jink |
---|
1836 | ssin45 = SQRT(2.0) |
---|
1837 | |
---|
1838 | DO l = 1, la |
---|
1839 | i = ibase |
---|
1840 | j = jbase |
---|
1841 | !DIR$ IVDEP |
---|
1842 | !CDIR NODEP |
---|
1843 | !OCL NOVREC |
---|
1844 | DO ijk = 1, lot |
---|
1845 | c(ja+j) = 2.0*(((a(ia+i)+a(ie+i))+a(ic+i))+(a(ib+i)+a(id+i))) |
---|
1846 | c(je+j) = 2.0*(((a(ia+i)+a(ie+i))+a(ic+i))-(a(ib+i)+a(id+i))) |
---|
1847 | c(jc+j) = 2.0*(((a(ia+i)+a(ie+i))-a(ic+i))-(b(ib+i)-b(id+i))) |
---|
1848 | c(jg+j) = 2.0*(((a(ia+i)+a(ie+i))-a(ic+i))+(b(ib+i)-b(id+i))) |
---|
1849 | c(jb+j) = 2.0*((a(ia+i)-a(ie+i))-b(ic+i)) + ssin45*((a(ib+i)-a(id+ & |
---|
1850 | & i))-(b(ib+i)+b(id+i))) |
---|
1851 | c(jf+j) = 2.0*((a(ia+i)-a(ie+i))-b(ic+i)) - ssin45*((a(ib+i)-a(id+ & |
---|
1852 | & i))-(b(ib+i)+b(id+i))) |
---|
1853 | c(jd+j) = 2.0*((a(ia+i)-a(ie+i))+b(ic+i)) - ssin45*((a(ib+i)-a(id+ & |
---|
1854 | & i))+(b(ib+i)+b(id+i))) |
---|
1855 | c(jh+j) = 2.0*((a(ia+i)-a(ie+i))+b(ic+i)) + ssin45*((a(ib+i)-a(id+ & |
---|
1856 | & i))+(b(ib+i)+b(id+i))) |
---|
1857 | i = i + inc3 |
---|
1858 | j = j + inc4 |
---|
1859 | END DO |
---|
1860 | ibase = ibase + inc1 |
---|
1861 | jbase = jbase + inc2 |
---|
1862 | END DO |
---|
1863 | |
---|
1864 | ! Return |
---|
1865 | |
---|
1866 | 170 CONTINUE |
---|
1867 | ibad = 0 |
---|
1868 | 180 CONTINUE |
---|
1869 | ierr = ibad |
---|
1870 | RETURN |
---|
1871 | END SUBROUTINE rpassm |
---|
1872 | |
---|
1873 | SUBROUTINE set99(trigs,ifax,n) |
---|
1874 | |
---|
1875 | ! Description: |
---|
1876 | ! |
---|
1877 | ! Computes factors of n & trigonometric functins required by fft99 & fft991cy |
---|
1878 | ! |
---|
1879 | ! Method: |
---|
1880 | ! |
---|
1881 | ! Dimension trigs(n),ifax(1),jfax(10),lfax(7) |
---|
1882 | ! |
---|
1883 | ! subroutine 'set99' - computes factors of n & trigonometric |
---|
1884 | ! functins required by fft99 & fft991cy |
---|
1885 | |
---|
1886 | |
---|
1887 | USE control_parameters |
---|
1888 | USE pegrid |
---|
1889 | |
---|
1890 | IMPLICIT NONE |
---|
1891 | |
---|
1892 | ! Scalar arguments |
---|
1893 | INTEGER :: n |
---|
1894 | |
---|
1895 | ! Array arguments |
---|
1896 | REAL :: trigs(*) |
---|
1897 | INTEGER :: ifax(*) |
---|
1898 | |
---|
1899 | ! Local scalars: |
---|
1900 | REAL :: angle, del |
---|
1901 | INTEGER :: i, ifac, ixxx, k, l, nfax, nhl, nil, nu |
---|
1902 | |
---|
1903 | ! Local arrays: |
---|
1904 | INTEGER :: jfax(10), lfax(7) |
---|
1905 | |
---|
1906 | ! Intrinsic functions |
---|
1907 | INTRINSIC ASIN, COS, MOD, REAL, SIN |
---|
1908 | |
---|
1909 | ! Data statements |
---|
1910 | DATA lfax/6, 8, 5, 4, 3, 2, 1/ |
---|
1911 | |
---|
1912 | |
---|
1913 | ! Executable statements |
---|
1914 | ixxx = 1 |
---|
1915 | |
---|
1916 | del = 4.0*ASIN(1.0)/REAL(n) |
---|
1917 | nil = 0 |
---|
1918 | nhl = (n/2) - 1 |
---|
1919 | DO k = nil, nhl |
---|
1920 | angle = REAL(k)*del |
---|
1921 | trigs(2*k+1) = COS(angle) |
---|
1922 | trigs(2*k+2) = SIN(angle) |
---|
1923 | END DO |
---|
1924 | |
---|
1925 | ! Find factors of n (8,6,5,4,3,2; only one 8 allowed) |
---|
1926 | ! Look for sixes first, store factors in descending order |
---|
1927 | nu = n |
---|
1928 | ifac = 6 |
---|
1929 | k = 0 |
---|
1930 | l = 1 |
---|
1931 | 10 CONTINUE |
---|
1932 | IF (MOD(nu,ifac)/=0) GO TO 30 |
---|
1933 | k = k + 1 |
---|
1934 | jfax(k) = ifac |
---|
1935 | IF (ifac/=8) GO TO 20 |
---|
1936 | IF (k==1) GO TO 20 |
---|
1937 | jfax(1) = 8 |
---|
1938 | jfax(k) = 6 |
---|
1939 | 20 CONTINUE |
---|
1940 | nu = nu/ifac |
---|
1941 | IF (nu==1) GO TO 40 |
---|
1942 | IF (ifac/=8) GO TO 10 |
---|
1943 | 30 CONTINUE |
---|
1944 | l = l + 1 |
---|
1945 | ifac = lfax(l) |
---|
1946 | IF (ifac>1) GO TO 10 |
---|
1947 | |
---|
1948 | ! WRITE (nout,'(A,I4,A)') ' n =',n,' - Contains illegal factors' |
---|
1949 | message_string = 'number of gridpoints along x or/and y ' // & |
---|
1950 | 'contain illegal factors' // & |
---|
1951 | '&only factors 8,6,5,4,3,2 are allowed' |
---|
1952 | CALL message( 'temperton_fft', 'PA0311', 1, 2, 0, 6, 0 ) |
---|
1953 | |
---|
1954 | RETURN |
---|
1955 | |
---|
1956 | ! Now reverse order of factors |
---|
1957 | 40 CONTINUE |
---|
1958 | nfax = k |
---|
1959 | ifax(1) = nfax |
---|
1960 | DO i = 1, nfax |
---|
1961 | ifax(nfax+2-i) = jfax(i) |
---|
1962 | END DO |
---|
1963 | ifax(10) = n |
---|
1964 | RETURN |
---|
1965 | END SUBROUTINE set99 |
---|
1966 | |
---|
1967 | END MODULE temperton_fft |
---|