1 | !> @file temperton_fft_mod.f90 |
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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 | ! |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id: temperton_fft_mod.f90 1851 2016-04-08 13:32:50Z suehring $ |
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11 | ! |
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12 | ! 1850 2016-04-08 13:29:27Z maronga |
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13 | ! Module renamed |
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14 | ! |
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15 | ! |
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16 | ! 1682 2015-10-07 23:56:08Z knoop |
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17 | ! Code annotations made doxygen readable |
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18 | ! |
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19 | ! 1342 2014-03-26 17:04:47Z kanani |
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20 | ! REAL constants defined as wp-kind |
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21 | ! |
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22 | ! 1322 2014-03-20 16:38:49Z raasch |
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23 | ! REAL constants defined as wp-kind |
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24 | ! |
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25 | ! 1320 2014-03-20 08:40:49Z raasch |
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26 | ! ONLY-attribute added to USE-statements, |
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27 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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28 | ! kinds are defined in new module kinds, |
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29 | ! old module precision_kind is removed, |
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30 | ! revision history before 2012 removed, |
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31 | ! comment fields (!:) to be used for variable explanations added to |
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32 | ! all variable declaration statements |
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33 | ! |
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34 | ! Revision 1.1 2003/03/12 16:41:59 raasch |
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35 | ! Initial revision |
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36 | ! |
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37 | ! |
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38 | ! Description: |
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39 | ! ------------ |
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40 | !> Fast Fourier transformation developed by Clive Temperton, ECMWF. |
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41 | !------------------------------------------------------------------------------! |
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42 | MODULE temperton_fft |
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43 | |
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44 | USE kinds |
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45 | |
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46 | IMPLICIT NONE |
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47 | |
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48 | PRIVATE |
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49 | |
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50 | PUBLIC set99, fft991cy |
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51 | |
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52 | |
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53 | INTEGER(iwp) :: nfax(10) !< array used by *fft991*. |
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54 | REAL(wp), ALLOCATABLE :: trig(:) !< array used by *fft991*. |
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55 | |
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56 | ! |
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57 | !-- nfft: maximum length of calls to *fft. |
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58 | #if defined( __nec ) |
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59 | INTEGER(iwp), PARAMETER :: nfft = 256 !< |
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60 | #else |
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61 | INTEGER(iwp), PARAMETER :: nfft = 32 !< |
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62 | #endif |
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63 | |
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64 | INTEGER(iwp), PARAMETER :: nout = 6 !< standard output stream |
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65 | |
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66 | CONTAINS |
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67 | |
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68 | !------------------------------------------------------------------------------! |
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69 | ! Description: |
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70 | ! ------------ |
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71 | !> Calls fortran-versions of fft's. |
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72 | !> |
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73 | !> Method: |
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74 | !> |
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75 | !> Subroutine 'fft991cy' - multiple fast real periodic transform |
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76 | !> supersedes previous routine 'fft991cy'. |
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77 | !> |
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78 | !> Real transform of length n performed by removing redundant |
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79 | !> operations from complex transform of length n. |
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80 | !> |
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81 | !> a is the array containing input & output data. |
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82 | !> work is an area of size (n+1)*min(lot,nfft). |
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83 | !> trigs is a previously prepared list of trig function values. |
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84 | !> ifax is a previously prepared list of factors of n. |
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85 | !> inc is the increment within each data 'vector' |
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86 | !> (e.g. inc=1 for consecutively stored data). |
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87 | !> jump is the increment between the start of each data vector. |
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88 | !> n is the length of the data vectors. |
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89 | !> lot is the number of data vectors. |
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90 | !> isign = +1 for transform from spectral to gridpoint |
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91 | !> = -1 for transform from gridpoint to spectral. |
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92 | !> |
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93 | !> ordering of coefficients: |
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94 | !> a(0),b(0),a(1),b(1),a(2),b(2),.,a(n/2),b(n/2) |
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95 | !> where b(0)=b(n/2)=0; (n+2) locations required. |
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96 | !> |
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97 | !> ordering of data: |
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98 | !> x(0),x(1),x(2),.,x(n-1), 0 , 0 ; (n+2) locations required. |
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99 | !> |
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100 | !> Vectorization is achieved on cray by doing the transforms |
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101 | !> in parallel. |
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102 | !> |
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103 | !> n must be composed of factors 2,3 & 5 but does not have to be even. |
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104 | !> |
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105 | !> definition of transforms: |
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106 | !> |
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107 | !> isign=+1: x(j)=sum(k=0,.,n-1)(c(k)*exp(2*i*j*k*pi/n)) |
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108 | !> where c(k)=a(k)+i*b(k) and c(n-k)=a(k)-i*b(k) |
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109 | !> |
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110 | !> isign=-1: a(k)=(1/n)*sum(j=0,.,n-1)(x(j)*cos(2*j*k*pi/n)) |
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111 | !> b(k)=-(1/n)*sum(j=0,.,n-1)(x(j)*sin(2*j*k*pi/n)) |
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112 | !> |
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113 | !> calls fortran-versions of fft's !!! |
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114 | !> dimension a(n),work(n),trigs(n),ifax(1) |
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115 | !------------------------------------------------------------------------------! |
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116 | SUBROUTINE fft991cy(a,work,trigs,ifax,inc,jump,n,lot,isign) |
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117 | |
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118 | USE kinds |
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119 | |
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120 | IMPLICIT NONE |
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121 | |
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122 | ! Scalar arguments |
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123 | INTEGER(iwp) :: inc !< |
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124 | INTEGER(iwp) :: isign !< |
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125 | INTEGER(iwp) :: jump !< |
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126 | INTEGER(iwp) :: lot !< |
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127 | INTEGER(iwp) :: n !< |
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128 | |
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129 | ! Array arguments |
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130 | REAL(wp) :: a(*) !< |
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131 | REAL(wp) :: trigs(*) !< |
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132 | REAL(wp) :: work(*) !< |
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133 | INTEGER(iwp) :: ifax(*) !< |
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134 | |
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135 | ! Local scalars: |
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136 | INTEGER(iwp) :: i !< |
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137 | INTEGER(iwp) :: ia !< |
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138 | INTEGER(iwp) :: ibase !< |
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139 | INTEGER(iwp) :: ierr !< |
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140 | INTEGER(iwp) :: ifac !< |
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141 | INTEGER(iwp) :: igo !< |
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142 | INTEGER(iwp) :: ii !< |
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143 | INTEGER(iwp) :: istart !< |
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144 | INTEGER(iwp) :: ix !< |
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145 | INTEGER(iwp) :: iz !< |
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146 | INTEGER(iwp) :: j !< |
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147 | INTEGER(iwp) :: jbase !< |
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148 | INTEGER(iwp) :: jj !< |
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149 | INTEGER(iwp) :: k !< |
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150 | INTEGER(iwp) :: la !< |
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151 | INTEGER(iwp) :: nb !< |
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152 | INTEGER(iwp) :: nblox !< |
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153 | INTEGER(iwp) :: nfax !< |
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154 | INTEGER(iwp) :: nvex !< |
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155 | INTEGER(iwp) :: nx !< |
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156 | |
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157 | ! Intrinsic functions |
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158 | ! INTRINSIC MOD |
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159 | |
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160 | |
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161 | ! Executable statements |
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162 | |
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163 | IF (ifax(10)/=n) CALL set99(trigs,ifax,n) |
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164 | nfax = ifax(1) |
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165 | nx = n + 1 |
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166 | IF (MOD(n,2)==1) nx = n |
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167 | nblox = 1 + (lot-1)/nfft |
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168 | nvex = lot - (nblox-1)*nfft |
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169 | IF (isign==-1) GO TO 50 |
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170 | |
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171 | ! isign=+1, spectral to gridpoint transform |
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172 | |
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173 | istart = 1 |
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174 | DO nb = 1, nblox |
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175 | ia = istart |
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176 | i = istart |
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177 | !DIR$ IVDEP |
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178 | !CDIR NODEP |
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179 | !OCL NOVREC |
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180 | DO j = 1, nvex |
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181 | a(i+inc) = 0.5_wp*a(i) |
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182 | i = i + jump |
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183 | END DO |
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184 | IF (MOD(n,2)==1) GO TO 10 |
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185 | i = istart + n*inc |
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186 | DO j = 1, nvex |
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187 | a(i) = 0.5_wp*a(i) |
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188 | i = i + jump |
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189 | END DO |
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190 | 10 CONTINUE |
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191 | ia = istart + inc |
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192 | la = 1 |
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193 | igo = + 1 |
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194 | |
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195 | DO k = 1, nfax |
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196 | ifac = ifax(k+1) |
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197 | ierr = -1 |
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198 | IF (igo==-1) GO TO 20 |
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199 | CALL rpassm(a(ia),a(ia+la*inc),work(1),work(ifac*la+1),trigs,inc,1, & |
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200 | & jump,nx,nvex,n,ifac,la,ierr) |
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201 | GO TO 30 |
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202 | 20 CONTINUE |
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203 | CALL rpassm(work(1),work(la+1),a(ia),a(ia+ifac*la*inc),trigs,1,inc,nx, & |
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204 | & jump,nvex,n,ifac,la,ierr) |
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205 | 30 CONTINUE |
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206 | IF (ierr/=0) GO TO 100 |
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207 | la = ifac*la |
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208 | igo = -igo |
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209 | ia = istart |
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210 | END DO |
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211 | |
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212 | ! If necessary, copy results back to a |
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213 | |
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214 | IF (MOD(nfax,2)==0) GO TO 40 |
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215 | ibase = 1 |
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216 | jbase = ia |
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217 | DO jj = 1, nvex |
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218 | i = ibase |
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219 | j = jbase |
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220 | DO ii = 1, n |
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221 | a(j) = work(i) |
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222 | i = i + 1 |
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223 | j = j + inc |
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224 | END DO |
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225 | ibase = ibase + nx |
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226 | jbase = jbase + jump |
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227 | END DO |
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228 | 40 CONTINUE |
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229 | |
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230 | ! Fill in zeros at end |
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231 | |
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232 | ix = istart + n*inc |
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233 | !DIR$ IVDEP |
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234 | !CDIR NODEP |
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235 | !OCL NOVREC |
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236 | DO j = 1, nvex |
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237 | a(ix) = 0.0_wp |
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238 | a(ix+inc) = 0.0_wp |
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239 | ix = ix + jump |
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240 | END DO |
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241 | |
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242 | istart = istart + nvex*jump |
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243 | nvex = nfft |
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244 | END DO |
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245 | RETURN |
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246 | |
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247 | ! isign=-1, gridpoint to spectral transform |
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248 | |
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249 | 50 CONTINUE |
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250 | istart = 1 |
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251 | DO nb = 1, nblox |
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252 | ia = istart |
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253 | la = n |
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254 | igo = + 1 |
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255 | |
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256 | DO k = 1, nfax |
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257 | ifac = ifax(nfax+2-k) |
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258 | la = la/ifac |
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259 | ierr = -1 |
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260 | IF (igo==-1) GO TO 60 |
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261 | CALL qpassm(a(ia),a(ia+ifac*la*inc),work(1),work(la+1),trigs,inc,1, & |
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262 | & jump,nx,nvex,n,ifac,la,ierr) |
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263 | GO TO 70 |
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264 | 60 CONTINUE |
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265 | CALL qpassm(work(1),work(ifac*la+1),a(ia),a(ia+la*inc),trigs,1,inc,nx, & |
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266 | & jump,nvex,n,ifac,la,ierr) |
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267 | 70 CONTINUE |
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268 | IF (ierr/=0) GO TO 100 |
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269 | igo = -igo |
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270 | ia = istart + inc |
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271 | END DO |
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272 | |
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273 | ! If necessary, copy results back to a |
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274 | |
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275 | IF (MOD(nfax,2)==0) GO TO 80 |
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276 | ibase = 1 |
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277 | jbase = ia |
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278 | DO jj = 1, nvex |
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279 | i = ibase |
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280 | j = jbase |
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281 | DO ii = 1, n |
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282 | a(j) = work(i) |
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283 | i = i + 1 |
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284 | j = j + inc |
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285 | END DO |
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286 | ibase = ibase + nx |
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287 | jbase = jbase + jump |
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288 | END DO |
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289 | 80 CONTINUE |
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290 | |
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291 | ! Shift a(0) & fill in zero imag parts |
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292 | |
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293 | ix = istart |
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294 | !DIR$ IVDEP |
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295 | !CDIR NODEP |
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296 | !OCL NOVREC |
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297 | DO j = 1, nvex |
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298 | a(ix) = a(ix+inc) |
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299 | a(ix+inc) = 0.0_wp |
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300 | ix = ix + jump |
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301 | END DO |
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302 | IF (MOD(n,2)==1) GO TO 90 |
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303 | iz = istart + (n+1)*inc |
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304 | DO j = 1, nvex |
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305 | a(iz) = 0.0_wp |
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306 | iz = iz + jump |
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307 | END DO |
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308 | 90 CONTINUE |
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309 | |
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310 | istart = istart + nvex*jump |
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311 | nvex = nfft |
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312 | END DO |
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313 | RETURN |
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314 | |
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315 | ! Error messages |
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316 | |
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317 | 100 CONTINUE |
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318 | |
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319 | SELECT CASE (ierr) |
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320 | CASE (:-1) |
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321 | WRITE (nout,'(A,I5,A)') ' Vector length =',nvex,', greater than nfft' |
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322 | CASE (0) |
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323 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', not catered for' |
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324 | CASE (1:) |
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325 | WRITE (nout,'(A,I3,A)') ' Factor =',ifac,', only catered for if la*ifac=n' |
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326 | END SELECT |
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327 | |
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328 | RETURN |
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329 | END SUBROUTINE fft991cy |
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330 | |
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331 | !------------------------------------------------------------------------------! |
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332 | ! Description: |
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333 | ! ------------ |
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334 | !> Performs one pass through data as part of |
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335 | !> multiple real fft (fourier analysis) routine. |
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336 | !> |
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337 | !> Method: |
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338 | !> |
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339 | !> a is first real input vector |
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340 | !> equivalence b(1) with a(ifac*la*inc1+1) |
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341 | !> c is first real output vector |
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342 | !> equivalence d(1) with c(la*inc2+1) |
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343 | !> trigs is a precalculated list of sines & cosines |
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344 | !> inc1 is the addressing increment for a |
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345 | !> inc2 is the addressing increment for c |
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346 | !> inc3 is the increment between input vectors a |
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347 | !> inc4 is the increment between output vectors c |
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348 | !> lot is the number of vectors |
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349 | !> n is the length of the vectors |
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350 | !> ifac is the current factor of n |
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351 | !> la = n/(product of factors used so far) |
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352 | !> ierr is an error indicator: |
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353 | !> 0 - pass completed without error |
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354 | !> 1 - lot greater than nfft |
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355 | !> 2 - ifac not catered for |
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356 | !> 3 - ifac only catered for if la=n/ifac |
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357 | !------------------------------------------------------------------------------! |
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358 | SUBROUTINE qpassm(a,b,c,d,trigs,inc1,inc2,inc3,inc4,lot,n,ifac,la,ierr) |
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359 | |
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360 | USE kinds |
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361 | |
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362 | IMPLICIT NONE |
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363 | |
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364 | ! Scalar arguments |
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365 | INTEGER(iwp) :: ierr !< |
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366 | INTEGER(iwp) :: ifac !< |
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367 | INTEGER(iwp) :: inc1 !< |
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368 | INTEGER(iwp) :: inc2 !< |
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369 | INTEGER(iwp) :: inc3 !< |
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370 | INTEGER(iwp) :: inc4 !< |
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371 | INTEGER(iwp) :: la !< |
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372 | INTEGER(iwp) :: lot !< |
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373 | INTEGER(iwp) :: n !< |
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374 | |
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375 | ! Array arguments |
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376 | ! REAL :: a(n),b(n),c(n),d(n),trigs(n) |
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377 | REAL(wp) :: a(*) !< |
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378 | REAL(wp) :: b(*) !< |
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379 | REAL(wp) :: c(*) !< |
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380 | REAL(wp) :: d(*) !< |
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381 | REAL(wp) :: trigs(*) !< |
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382 | |
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383 | ! Local scalars: |
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384 | REAL(wp) :: a0 !< |
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385 | REAL(wp) :: a1 !< |
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386 | REAL(wp) :: a10 !< |
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387 | REAL(wp) :: a11 !< |
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388 | REAL(wp) :: a2 !< |
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389 | REAL(wp) :: a20 !< |
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390 | REAL(wp) :: a21 !< |
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391 | REAL(wp) :: a3 !< |
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392 | REAL(wp) :: a4 !< |
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393 | REAL(wp) :: a5 !< |
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394 | REAL(wp) :: a6 !< |
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395 | REAL(wp) :: b0 !< |
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396 | REAL(wp) :: b1 !< |
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397 | REAL(wp) :: b10 !< |
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398 | REAL(wp) :: b11 !< |
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399 | REAL(wp) :: b2 !< |
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400 | REAL(wp) :: b20 !< |
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401 | REAL(wp) :: b21 !< |
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402 | REAL(wp) :: b3 !< |
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403 | REAL(wp) :: b4 !< |
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404 | REAL(wp) :: b5 !< |
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405 | REAL(wp) :: b6 !< |
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406 | REAL(wp) :: c1 !< |
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407 | REAL(wp) :: c2 !< |
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408 | REAL(wp) :: c3 !< |
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409 | REAL(wp) :: c4 !< |
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410 | REAL(wp) :: c5 !< |
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411 | REAL(wp) :: qrt5 !< |
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412 | REAL(wp) :: s1 !< |
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413 | REAL(wp) :: s2 !< |
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414 | REAL(wp) :: s3 !< |
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415 | REAL(wp) :: s4 !< |
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416 | REAL(wp) :: s5 !< |
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417 | REAL(wp) :: sin36 !< |
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418 | REAL(wp) :: sin45 !< |
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419 | REAL(wp) :: sin60 !< |
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420 | REAL(wp) :: sin72 !< |
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421 | REAL(wp) :: z !< |
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422 | REAL(wp) :: zqrt5 !< |
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423 | REAL(wp) :: zsin36 !< |
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424 | REAL(wp) :: zsin45 !< |
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425 | REAL(wp) :: zsin60 !< |
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426 | REAL(wp) :: zsin72 !< |
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427 | |
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428 | INTEGER(iwp) :: i !< |
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429 | INTEGER(iwp) :: ia !< |
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430 | INTEGER(iwp) :: ib !< |
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431 | INTEGER(iwp) :: ibad !< |
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432 | INTEGER(iwp) :: ibase !< |
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433 | INTEGER(iwp) :: ic !< |
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434 | INTEGER(iwp) :: id !< |
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435 | INTEGER(iwp) :: ie !< |
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436 | INTEGER(iwp) :: if !< |
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437 | INTEGER(iwp) :: ig !< |
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438 | INTEGER(iwp) :: igo !< |
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439 | INTEGER(iwp) :: ih !< |
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440 | INTEGER(iwp) :: iink !< |
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441 | INTEGER(iwp) :: ijk !< |
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442 | INTEGER(iwp) :: ijump !< |
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443 | INTEGER(iwp) :: j !< |
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444 | INTEGER(iwp) :: ja !< |
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445 | INTEGER(iwp) :: jb !< |
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446 | INTEGER(iwp) :: jbase !< |
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447 | INTEGER(iwp) :: jc !< |
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448 | INTEGER(iwp) :: jd !< |
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449 | INTEGER(iwp) :: je !< |
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450 | INTEGER(iwp) :: jf !< |
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451 | INTEGER(iwp) :: jink !< |
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452 | INTEGER(iwp) :: k !< |
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453 | INTEGER(iwp) :: kb !< |
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454 | INTEGER(iwp) :: kc !< |
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455 | INTEGER(iwp) :: kd !< |
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456 | INTEGER(iwp) :: ke !< |
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457 | INTEGER(iwp) :: kf !< |
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458 | INTEGER(iwp) :: kstop !< |
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459 | INTEGER(iwp) :: l !< |
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460 | INTEGER(iwp) :: m !< |
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461 | |
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462 | ! Intrinsic functions |
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463 | ! INTRINSIC REAL, SQRT |
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464 | |
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465 | ! Data statements |
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466 | DATA sin36/0.587785252292473_wp/, sin72/0.951056516295154_wp/, & |
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467 | & qrt5/0.559016994374947_wp/, sin60/0.866025403784437_wp/ |
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468 | |
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469 | |
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470 | ! Executable statements |
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471 | |
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472 | m = n/ifac |
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473 | iink = la*inc1 |
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474 | jink = la*inc2 |
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475 | ijump = (ifac-1)*iink |
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476 | kstop = (n-ifac)/(2*ifac) |
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477 | |
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478 | ibad = 1 |
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479 | IF (lot>nfft) GO TO 180 |
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480 | ibase = 0 |
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481 | jbase = 0 |
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482 | igo = ifac - 1 |
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483 | IF (igo==7) igo = 6 |
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484 | ibad = 2 |
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485 | IF (igo<1 .OR. igo>6) GO TO 180 |
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486 | GO TO (10,40,70,100,130,160) igo |
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487 | |
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488 | ! Coding for factor 2 |
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489 | |
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490 | 10 CONTINUE |
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491 | ia = 1 |
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492 | ib = ia + iink |
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493 | ja = 1 |
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494 | jb = ja + (2*m-la)*inc2 |
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495 | |
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496 | IF (la==m) GO TO 30 |
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497 | |
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498 | DO l = 1, la |
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499 | i = ibase |
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500 | j = jbase |
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501 | !DIR$ IVDEP |
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502 | !CDIR NODEP |
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503 | !OCL NOVREC |
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504 | DO ijk = 1, lot |
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505 | c(ja+j) = a(ia+i) + a(ib+i) |
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506 | c(jb+j) = a(ia+i) - a(ib+i) |
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507 | i = i + inc3 |
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508 | j = j + inc4 |
---|
509 | END DO |
---|
510 | ibase = ibase + inc1 |
---|
511 | jbase = jbase + inc2 |
---|
512 | END DO |
---|
513 | ja = ja + jink |
---|
514 | jink = 2*jink |
---|
515 | jb = jb - jink |
---|
516 | ibase = ibase + ijump |
---|
517 | ijump = 2*ijump + iink |
---|
518 | IF (ja==jb) GO TO 20 |
---|
519 | DO k = la, kstop, la |
---|
520 | kb = k + k |
---|
521 | c1 = trigs(kb+1) |
---|
522 | s1 = trigs(kb+2) |
---|
523 | jbase = 0 |
---|
524 | DO l = 1, la |
---|
525 | i = ibase |
---|
526 | j = jbase |
---|
527 | !DIR$ IVDEP |
---|
528 | !CDIR NODEP |
---|
529 | !OCL NOVREC |
---|
530 | DO ijk = 1, lot |
---|
531 | c(ja+j) = a(ia+i) + (c1*a(ib+i)+s1*b(ib+i)) |
---|
532 | c(jb+j) = a(ia+i) - (c1*a(ib+i)+s1*b(ib+i)) |
---|
533 | d(ja+j) = (c1*b(ib+i)-s1*a(ib+i)) + b(ia+i) |
---|
534 | d(jb+j) = (c1*b(ib+i)-s1*a(ib+i)) - b(ia+i) |
---|
535 | i = i + inc3 |
---|
536 | j = j + inc4 |
---|
537 | END DO |
---|
538 | ibase = ibase + inc1 |
---|
539 | jbase = jbase + inc2 |
---|
540 | END DO |
---|
541 | ibase = ibase + ijump |
---|
542 | ja = ja + jink |
---|
543 | jb = jb - jink |
---|
544 | END DO |
---|
545 | IF (ja>jb) GO TO 170 |
---|
546 | 20 CONTINUE |
---|
547 | jbase = 0 |
---|
548 | DO l = 1, la |
---|
549 | i = ibase |
---|
550 | j = jbase |
---|
551 | !DIR$ IVDEP |
---|
552 | !CDIR NODEP |
---|
553 | !OCL NOVREC |
---|
554 | DO ijk = 1, lot |
---|
555 | c(ja+j) = a(ia+i) |
---|
556 | d(ja+j) = -a(ib+i) |
---|
557 | i = i + inc3 |
---|
558 | j = j + inc4 |
---|
559 | END DO |
---|
560 | ibase = ibase + inc1 |
---|
561 | jbase = jbase + inc2 |
---|
562 | END DO |
---|
563 | |
---|
564 | GO TO 170 |
---|
565 | 30 CONTINUE |
---|
566 | z = 1.0_wp/REAL(n,KIND=wp) |
---|
567 | DO l = 1, la |
---|
568 | i = ibase |
---|
569 | j = jbase |
---|
570 | !DIR$ IVDEP |
---|
571 | !CDIR NODEP |
---|
572 | !OCL NOVREC |
---|
573 | DO ijk = 1, lot |
---|
574 | c(ja+j) = z*(a(ia+i)+a(ib+i)) |
---|
575 | c(jb+j) = z*(a(ia+i)-a(ib+i)) |
---|
576 | i = i + inc3 |
---|
577 | j = j + inc4 |
---|
578 | END DO |
---|
579 | ibase = ibase + inc1 |
---|
580 | jbase = jbase + inc2 |
---|
581 | END DO |
---|
582 | GO TO 170 |
---|
583 | |
---|
584 | ! Coding for factor 3 |
---|
585 | |
---|
586 | 40 CONTINUE |
---|
587 | ia = 1 |
---|
588 | ib = ia + iink |
---|
589 | ic = ib + iink |
---|
590 | ja = 1 |
---|
591 | jb = ja + (2*m-la)*inc2 |
---|
592 | jc = jb |
---|
593 | |
---|
594 | IF (la==m) GO TO 60 |
---|
595 | |
---|
596 | DO l = 1, la |
---|
597 | i = ibase |
---|
598 | j = jbase |
---|
599 | !DIR$ IVDEP |
---|
600 | !CDIR NODEP |
---|
601 | !OCL NOVREC |
---|
602 | DO ijk = 1, lot |
---|
603 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
---|
604 | c(jb+j) = a(ia+i) - 0.5_wp*(a(ib+i)+a(ic+i)) |
---|
605 | d(jb+j) = sin60*(a(ic+i)-a(ib+i)) |
---|
606 | i = i + inc3 |
---|
607 | j = j + inc4 |
---|
608 | END DO |
---|
609 | ibase = ibase + inc1 |
---|
610 | jbase = jbase + inc2 |
---|
611 | END DO |
---|
612 | ja = ja + jink |
---|
613 | jink = 2*jink |
---|
614 | jb = jb + jink |
---|
615 | jc = jc - jink |
---|
616 | ibase = ibase + ijump |
---|
617 | ijump = 2*ijump + iink |
---|
618 | IF (ja==jc) GO TO 50 |
---|
619 | DO k = la, kstop, la |
---|
620 | kb = k + k |
---|
621 | kc = kb + kb |
---|
622 | c1 = trigs(kb+1) |
---|
623 | s1 = trigs(kb+2) |
---|
624 | c2 = trigs(kc+1) |
---|
625 | s2 = trigs(kc+2) |
---|
626 | jbase = 0 |
---|
627 | DO l = 1, la |
---|
628 | i = ibase |
---|
629 | j = jbase |
---|
630 | !DIR$ IVDEP |
---|
631 | !CDIR NODEP |
---|
632 | !OCL NOVREC |
---|
633 | DO ijk = 1, lot |
---|
634 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c2*a(ic+i)+s2*b(ic+i)) |
---|
635 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c2*b(ic+i)-s2*a(ic+i)) |
---|
636 | a2 = a(ia+i) - 0.5_wp*a1 |
---|
637 | b2 = b(ia+i) - 0.5_wp*b1 |
---|
638 | a3 = sin60*((c1*a(ib+i)+s1*b(ib+i))-(c2*a(ic+i)+s2*b(ic+i))) |
---|
639 | b3 = sin60*((c1*b(ib+i)-s1*a(ib+i))-(c2*b(ic+i)-s2*a(ic+i))) |
---|
640 | c(ja+j) = a(ia+i) + a1 |
---|
641 | d(ja+j) = b(ia+i) + b1 |
---|
642 | c(jb+j) = a2 + b3 |
---|
643 | d(jb+j) = b2 - a3 |
---|
644 | c(jc+j) = a2 - b3 |
---|
645 | d(jc+j) = -(b2+a3) |
---|
646 | i = i + inc3 |
---|
647 | j = j + inc4 |
---|
648 | END DO |
---|
649 | ibase = ibase + inc1 |
---|
650 | jbase = jbase + inc2 |
---|
651 | END DO |
---|
652 | ibase = ibase + ijump |
---|
653 | ja = ja + jink |
---|
654 | jb = jb + jink |
---|
655 | jc = jc - jink |
---|
656 | END DO |
---|
657 | IF (ja>jc) GO TO 170 |
---|
658 | 50 CONTINUE |
---|
659 | jbase = 0 |
---|
660 | DO l = 1, la |
---|
661 | i = ibase |
---|
662 | j = jbase |
---|
663 | !DIR$ IVDEP |
---|
664 | !CDIR NODEP |
---|
665 | !OCL NOVREC |
---|
666 | DO ijk = 1, lot |
---|
667 | c(ja+j) = a(ia+i) + 0.5_wp*(a(ib+i)-a(ic+i)) |
---|
668 | d(ja+j) = -sin60*(a(ib+i)+a(ic+i)) |
---|
669 | c(jb+j) = a(ia+i) - (a(ib+i)-a(ic+i)) |
---|
670 | i = i + inc3 |
---|
671 | j = j + inc4 |
---|
672 | END DO |
---|
673 | ibase = ibase + inc1 |
---|
674 | jbase = jbase + inc2 |
---|
675 | END DO |
---|
676 | |
---|
677 | GO TO 170 |
---|
678 | 60 CONTINUE |
---|
679 | z = 1.0_wp/REAL(n,KIND=wp) |
---|
680 | zsin60 = z*sin60 |
---|
681 | DO l = 1, la |
---|
682 | i = ibase |
---|
683 | j = jbase |
---|
684 | !DIR$ IVDEP |
---|
685 | !CDIR NODEP |
---|
686 | !OCL NOVREC |
---|
687 | DO ijk = 1, lot |
---|
688 | c(ja+j) = z*(a(ia+i)+(a(ib+i)+a(ic+i))) |
---|
689 | c(jb+j) = z*(a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i))) |
---|
690 | d(jb+j) = zsin60*(a(ic+i)-a(ib+i)) |
---|
691 | i = i + inc3 |
---|
692 | j = j + inc4 |
---|
693 | END DO |
---|
694 | ibase = ibase + inc1 |
---|
695 | jbase = jbase + inc2 |
---|
696 | END DO |
---|
697 | GO TO 170 |
---|
698 | |
---|
699 | ! Coding for factor 4 |
---|
700 | |
---|
701 | 70 CONTINUE |
---|
702 | ia = 1 |
---|
703 | ib = ia + iink |
---|
704 | ic = ib + iink |
---|
705 | id = ic + iink |
---|
706 | ja = 1 |
---|
707 | jb = ja + (2*m-la)*inc2 |
---|
708 | jc = jb + 2*m*inc2 |
---|
709 | jd = jb |
---|
710 | |
---|
711 | IF (la==m) GO TO 90 |
---|
712 | |
---|
713 | DO l = 1, la |
---|
714 | i = ibase |
---|
715 | j = jbase |
---|
716 | !DIR$ IVDEP |
---|
717 | !CDIR NODEP |
---|
718 | !OCL NOVREC |
---|
719 | DO ijk = 1, lot |
---|
720 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
---|
721 | c(jc+j) = (a(ia+i)+a(ic+i)) - (a(ib+i)+a(id+i)) |
---|
722 | c(jb+j) = a(ia+i) - a(ic+i) |
---|
723 | d(jb+j) = a(id+i) - a(ib+i) |
---|
724 | i = i + inc3 |
---|
725 | j = j + inc4 |
---|
726 | END DO |
---|
727 | ibase = ibase + inc1 |
---|
728 | jbase = jbase + inc2 |
---|
729 | END DO |
---|
730 | ja = ja + jink |
---|
731 | jink = 2*jink |
---|
732 | jb = jb + jink |
---|
733 | jc = jc - jink |
---|
734 | jd = jd - jink |
---|
735 | ibase = ibase + ijump |
---|
736 | ijump = 2*ijump + iink |
---|
737 | IF (jb==jc) GO TO 80 |
---|
738 | DO k = la, kstop, la |
---|
739 | kb = k + k |
---|
740 | kc = kb + kb |
---|
741 | kd = kc + kb |
---|
742 | c1 = trigs(kb+1) |
---|
743 | s1 = trigs(kb+2) |
---|
744 | c2 = trigs(kc+1) |
---|
745 | s2 = trigs(kc+2) |
---|
746 | c3 = trigs(kd+1) |
---|
747 | s3 = trigs(kd+2) |
---|
748 | jbase = 0 |
---|
749 | DO l = 1, la |
---|
750 | i = ibase |
---|
751 | j = jbase |
---|
752 | !DIR$ IVDEP |
---|
753 | !CDIR NODEP |
---|
754 | !OCL NOVREC |
---|
755 | DO ijk = 1, lot |
---|
756 | a0 = a(ia+i) + (c2*a(ic+i)+s2*b(ic+i)) |
---|
757 | a2 = a(ia+i) - (c2*a(ic+i)+s2*b(ic+i)) |
---|
758 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c3*a(id+i)+s3*b(id+i)) |
---|
759 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c3*a(id+i)+s3*b(id+i)) |
---|
760 | b0 = b(ia+i) + (c2*b(ic+i)-s2*a(ic+i)) |
---|
761 | b2 = b(ia+i) - (c2*b(ic+i)-s2*a(ic+i)) |
---|
762 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c3*b(id+i)-s3*a(id+i)) |
---|
763 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c3*b(id+i)-s3*a(id+i)) |
---|
764 | c(ja+j) = a0 + a1 |
---|
765 | c(jc+j) = a0 - a1 |
---|
766 | d(ja+j) = b0 + b1 |
---|
767 | d(jc+j) = b1 - b0 |
---|
768 | c(jb+j) = a2 + b3 |
---|
769 | c(jd+j) = a2 - b3 |
---|
770 | d(jb+j) = b2 - a3 |
---|
771 | d(jd+j) = -(b2+a3) |
---|
772 | i = i + inc3 |
---|
773 | j = j + inc4 |
---|
774 | END DO |
---|
775 | ibase = ibase + inc1 |
---|
776 | jbase = jbase + inc2 |
---|
777 | END DO |
---|
778 | ibase = ibase + ijump |
---|
779 | ja = ja + jink |
---|
780 | jb = jb + jink |
---|
781 | jc = jc - jink |
---|
782 | jd = jd - jink |
---|
783 | END DO |
---|
784 | IF (jb>jc) GO TO 170 |
---|
785 | 80 CONTINUE |
---|
786 | sin45 = SQRT(0.5_wp) |
---|
787 | jbase = 0 |
---|
788 | DO l = 1, la |
---|
789 | i = ibase |
---|
790 | j = jbase |
---|
791 | !DIR$ IVDEP |
---|
792 | !CDIR NODEP |
---|
793 | !OCL NOVREC |
---|
794 | DO ijk = 1, lot |
---|
795 | c(ja+j) = a(ia+i) + sin45*(a(ib+i)-a(id+i)) |
---|
796 | c(jb+j) = a(ia+i) - sin45*(a(ib+i)-a(id+i)) |
---|
797 | d(ja+j) = -a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
---|
798 | d(jb+j) = a(ic+i) - sin45*(a(ib+i)+a(id+i)) |
---|
799 | i = i + inc3 |
---|
800 | j = j + inc4 |
---|
801 | END DO |
---|
802 | ibase = ibase + inc1 |
---|
803 | jbase = jbase + inc2 |
---|
804 | END DO |
---|
805 | |
---|
806 | GO TO 170 |
---|
807 | 90 CONTINUE |
---|
808 | z = 1.0_wp/REAL(n,KIND=wp) |
---|
809 | DO l = 1, la |
---|
810 | i = ibase |
---|
811 | j = jbase |
---|
812 | !DIR$ IVDEP |
---|
813 | !CDIR NODEP |
---|
814 | !OCL NOVREC |
---|
815 | DO ijk = 1, lot |
---|
816 | c(ja+j) = z*((a(ia+i)+a(ic+i))+(a(ib+i)+a(id+i))) |
---|
817 | c(jc+j) = z*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) |
---|
818 | c(jb+j) = z*(a(ia+i)-a(ic+i)) |
---|
819 | d(jb+j) = z*(a(id+i)-a(ib+i)) |
---|
820 | i = i + inc3 |
---|
821 | j = j + inc4 |
---|
822 | END DO |
---|
823 | ibase = ibase + inc1 |
---|
824 | jbase = jbase + inc2 |
---|
825 | END DO |
---|
826 | GO TO 170 |
---|
827 | |
---|
828 | ! Coding for factor 5 |
---|
829 | |
---|
830 | 100 CONTINUE |
---|
831 | ia = 1 |
---|
832 | ib = ia + iink |
---|
833 | ic = ib + iink |
---|
834 | id = ic + iink |
---|
835 | ie = id + iink |
---|
836 | ja = 1 |
---|
837 | jb = ja + (2*m-la)*inc2 |
---|
838 | jc = jb + 2*m*inc2 |
---|
839 | jd = jc |
---|
840 | je = jb |
---|
841 | |
---|
842 | IF (la==m) GO TO 120 |
---|
843 | |
---|
844 | DO l = 1, la |
---|
845 | i = ibase |
---|
846 | j = jbase |
---|
847 | !DIR$ IVDEP |
---|
848 | !CDIR NODEP |
---|
849 | !OCL NOVREC |
---|
850 | DO ijk = 1, lot |
---|
851 | a1 = a(ib+i) + a(ie+i) |
---|
852 | a3 = a(ib+i) - a(ie+i) |
---|
853 | a2 = a(ic+i) + a(id+i) |
---|
854 | a4 = a(ic+i) - a(id+i) |
---|
855 | a5 = a(ia+i) - 0.25_wp*(a1+a2) |
---|
856 | a6 = qrt5*(a1-a2) |
---|
857 | c(ja+j) = a(ia+i) + (a1+a2) |
---|
858 | c(jb+j) = a5 + a6 |
---|
859 | c(jc+j) = a5 - a6 |
---|
860 | d(jb+j) = -sin72*a3 - sin36*a4 |
---|
861 | d(jc+j) = -sin36*a3 + sin72*a4 |
---|
862 | i = i + inc3 |
---|
863 | j = j + inc4 |
---|
864 | END DO |
---|
865 | ibase = ibase + inc1 |
---|
866 | jbase = jbase + inc2 |
---|
867 | END DO |
---|
868 | ja = ja + jink |
---|
869 | jink = 2*jink |
---|
870 | jb = jb + jink |
---|
871 | jc = jc + jink |
---|
872 | jd = jd - jink |
---|
873 | je = je - jink |
---|
874 | ibase = ibase + ijump |
---|
875 | ijump = 2*ijump + iink |
---|
876 | IF (jb==jd) GO TO 110 |
---|
877 | DO k = la, kstop, la |
---|
878 | kb = k + k |
---|
879 | kc = kb + kb |
---|
880 | kd = kc + kb |
---|
881 | ke = kd + kb |
---|
882 | c1 = trigs(kb+1) |
---|
883 | s1 = trigs(kb+2) |
---|
884 | c2 = trigs(kc+1) |
---|
885 | s2 = trigs(kc+2) |
---|
886 | c3 = trigs(kd+1) |
---|
887 | s3 = trigs(kd+2) |
---|
888 | c4 = trigs(ke+1) |
---|
889 | s4 = trigs(ke+2) |
---|
890 | jbase = 0 |
---|
891 | DO l = 1, la |
---|
892 | i = ibase |
---|
893 | j = jbase |
---|
894 | !DIR$ IVDEP |
---|
895 | !CDIR NODEP |
---|
896 | !OCL NOVREC |
---|
897 | DO ijk = 1, lot |
---|
898 | a1 = (c1*a(ib+i)+s1*b(ib+i)) + (c4*a(ie+i)+s4*b(ie+i)) |
---|
899 | a3 = (c1*a(ib+i)+s1*b(ib+i)) - (c4*a(ie+i)+s4*b(ie+i)) |
---|
900 | a2 = (c2*a(ic+i)+s2*b(ic+i)) + (c3*a(id+i)+s3*b(id+i)) |
---|
901 | a4 = (c2*a(ic+i)+s2*b(ic+i)) - (c3*a(id+i)+s3*b(id+i)) |
---|
902 | b1 = (c1*b(ib+i)-s1*a(ib+i)) + (c4*b(ie+i)-s4*a(ie+i)) |
---|
903 | b3 = (c1*b(ib+i)-s1*a(ib+i)) - (c4*b(ie+i)-s4*a(ie+i)) |
---|
904 | b2 = (c2*b(ic+i)-s2*a(ic+i)) + (c3*b(id+i)-s3*a(id+i)) |
---|
905 | b4 = (c2*b(ic+i)-s2*a(ic+i)) - (c3*b(id+i)-s3*a(id+i)) |
---|
906 | a5 = a(ia+i) - 0.25_wp*(a1+a2) |
---|
907 | a6 = qrt5*(a1-a2) |
---|
908 | b5 = b(ia+i) - 0.25_wp*(b1+b2) |
---|
909 | b6 = qrt5*(b1-b2) |
---|
910 | a10 = a5 + a6 |
---|
911 | a20 = a5 - a6 |
---|
912 | b10 = b5 + b6 |
---|
913 | b20 = b5 - b6 |
---|
914 | a11 = sin72*b3 + sin36*b4 |
---|
915 | a21 = sin36*b3 - sin72*b4 |
---|
916 | b11 = sin72*a3 + sin36*a4 |
---|
917 | b21 = sin36*a3 - sin72*a4 |
---|
918 | c(ja+j) = a(ia+i) + (a1+a2) |
---|
919 | c(jb+j) = a10 + a11 |
---|
920 | c(je+j) = a10 - a11 |
---|
921 | c(jc+j) = a20 + a21 |
---|
922 | c(jd+j) = a20 - a21 |
---|
923 | d(ja+j) = b(ia+i) + (b1+b2) |
---|
924 | d(jb+j) = b10 - b11 |
---|
925 | d(je+j) = -(b10+b11) |
---|
926 | d(jc+j) = b20 - b21 |
---|
927 | d(jd+j) = -(b20+b21) |
---|
928 | i = i + inc3 |
---|
929 | j = j + inc4 |
---|
930 | END DO |
---|
931 | ibase = ibase + inc1 |
---|
932 | jbase = jbase + inc2 |
---|
933 | END DO |
---|
934 | ibase = ibase + ijump |
---|
935 | ja = ja + jink |
---|
936 | jb = jb + jink |
---|
937 | jc = jc + jink |
---|
938 | jd = jd - jink |
---|
939 | je = je - jink |
---|
940 | END DO |
---|
941 | IF (jb>jd) GO TO 170 |
---|
942 | 110 CONTINUE |
---|
943 | jbase = 0 |
---|
944 | DO l = 1, la |
---|
945 | i = ibase |
---|
946 | j = jbase |
---|
947 | !DIR$ IVDEP |
---|
948 | !CDIR NODEP |
---|
949 | !OCL NOVREC |
---|
950 | DO ijk = 1, lot |
---|
951 | a1 = a(ib+i) + a(ie+i) |
---|
952 | a3 = a(ib+i) - a(ie+i) |
---|
953 | a2 = a(ic+i) + a(id+i) |
---|
954 | a4 = a(ic+i) - a(id+i) |
---|
955 | a5 = a(ia+i) + 0.25_wp*(a3-a4) |
---|
956 | a6 = qrt5*(a3+a4) |
---|
957 | c(ja+j) = a5 + a6 |
---|
958 | c(jb+j) = a5 - a6 |
---|
959 | c(jc+j) = a(ia+i) - (a3-a4) |
---|
960 | d(ja+j) = -sin36*a1 - sin72*a2 |
---|
961 | d(jb+j) = -sin72*a1 + sin36*a2 |
---|
962 | i = i + inc3 |
---|
963 | j = j + inc4 |
---|
964 | END DO |
---|
965 | ibase = ibase + inc1 |
---|
966 | jbase = jbase + inc2 |
---|
967 | END DO |
---|
968 | |
---|
969 | GO TO 170 |
---|
970 | 120 CONTINUE |
---|
971 | z = 1.0_wp/REAL(n,KIND=wp) |
---|
972 | zqrt5 = z*qrt5 |
---|
973 | zsin36 = z*sin36 |
---|
974 | zsin72 = z*sin72 |
---|
975 | DO l = 1, la |
---|
976 | i = ibase |
---|
977 | j = jbase |
---|
978 | !DIR$ IVDEP |
---|
979 | !CDIR NODEP |
---|
980 | !OCL NOVREC |
---|
981 | DO ijk = 1, lot |
---|
982 | a1 = a(ib+i) + a(ie+i) |
---|
983 | a3 = a(ib+i) - a(ie+i) |
---|
984 | a2 = a(ic+i) + a(id+i) |
---|
985 | a4 = a(ic+i) - a(id+i) |
---|
986 | a5 = z*(a(ia+i)-0.25_wp*(a1+a2)) |
---|
987 | a6 = zqrt5*(a1-a2) |
---|
988 | c(ja+j) = z*(a(ia+i)+(a1+a2)) |
---|
989 | c(jb+j) = a5 + a6 |
---|
990 | c(jc+j) = a5 - a6 |
---|
991 | d(jb+j) = -zsin72*a3 - zsin36*a4 |
---|
992 | d(jc+j) = -zsin36*a3 + zsin72*a4 |
---|
993 | i = i + inc3 |
---|
994 | j = j + inc4 |
---|
995 | END DO |
---|
996 | ibase = ibase + inc1 |
---|
997 | jbase = jbase + inc2 |
---|
998 | END DO |
---|
999 | GO TO 170 |
---|
1000 | |
---|
1001 | ! Coding for factor 6 |
---|
1002 | |
---|
1003 | 130 CONTINUE |
---|
1004 | ia = 1 |
---|
1005 | ib = ia + iink |
---|
1006 | ic = ib + iink |
---|
1007 | id = ic + iink |
---|
1008 | ie = id + iink |
---|
1009 | if = ie + iink |
---|
1010 | ja = 1 |
---|
1011 | jb = ja + (2*m-la)*inc2 |
---|
1012 | jc = jb + 2*m*inc2 |
---|
1013 | jd = jc + 2*m*inc2 |
---|
1014 | je = jc |
---|
1015 | jf = jb |
---|
1016 | |
---|
1017 | IF (la==m) GO TO 150 |
---|
1018 | |
---|
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) = (a(ia+i)+a(id+i)) + a11 |
---|
1028 | c(jc+j) = (a(ia+i)+a(id+i)-0.5_wp*a11) |
---|
1029 | d(jc+j) = sin60*((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) = (a(ia+i)-a(id+i)) - 0.5_wp*a11 |
---|
1032 | d(jb+j) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
---|
1033 | c(jd+j) = (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 | ja = ja + jink |
---|
1041 | jink = 2*jink |
---|
1042 | jb = jb + jink |
---|
1043 | jc = jc + jink |
---|
1044 | jd = jd - jink |
---|
1045 | je = je - jink |
---|
1046 | jf = jf - jink |
---|
1047 | ibase = ibase + ijump |
---|
1048 | ijump = 2*ijump + iink |
---|
1049 | IF (jc==jd) GO TO 140 |
---|
1050 | DO k = la, kstop, la |
---|
1051 | kb = k + k |
---|
1052 | kc = kb + kb |
---|
1053 | kd = kc + kb |
---|
1054 | ke = kd + kb |
---|
1055 | kf = ke + kb |
---|
1056 | c1 = trigs(kb+1) |
---|
1057 | s1 = trigs(kb+2) |
---|
1058 | c2 = trigs(kc+1) |
---|
1059 | s2 = trigs(kc+2) |
---|
1060 | c3 = trigs(kd+1) |
---|
1061 | s3 = trigs(kd+2) |
---|
1062 | c4 = trigs(ke+1) |
---|
1063 | s4 = trigs(ke+2) |
---|
1064 | c5 = trigs(kf+1) |
---|
1065 | s5 = trigs(kf+2) |
---|
1066 | jbase = 0 |
---|
1067 | DO l = 1, la |
---|
1068 | i = ibase |
---|
1069 | j = jbase |
---|
1070 | !DIR$ IVDEP |
---|
1071 | !CDIR NODEP |
---|
1072 | !OCL NOVREC |
---|
1073 | DO ijk = 1, lot |
---|
1074 | a1 = c1*a(ib+i) + s1*b(ib+i) |
---|
1075 | b1 = c1*b(ib+i) - s1*a(ib+i) |
---|
1076 | a2 = c2*a(ic+i) + s2*b(ic+i) |
---|
1077 | b2 = c2*b(ic+i) - s2*a(ic+i) |
---|
1078 | a3 = c3*a(id+i) + s3*b(id+i) |
---|
1079 | b3 = c3*b(id+i) - s3*a(id+i) |
---|
1080 | a4 = c4*a(ie+i) + s4*b(ie+i) |
---|
1081 | b4 = c4*b(ie+i) - s4*a(ie+i) |
---|
1082 | a5 = c5*a(if+i) + s5*b(if+i) |
---|
1083 | b5 = c5*b(if+i) - s5*a(if+i) |
---|
1084 | a11 = (a2+a5) + (a1+a4) |
---|
1085 | a20 = (a(ia+i)+a3) - 0.5_wp*a11 |
---|
1086 | a21 = sin60*((a2+a5)-(a1+a4)) |
---|
1087 | b11 = (b2+b5) + (b1+b4) |
---|
1088 | b20 = (b(ia+i)+b3) - 0.5_wp*b11 |
---|
1089 | b21 = sin60*((b2+b5)-(b1+b4)) |
---|
1090 | c(ja+j) = (a(ia+i)+a3) + a11 |
---|
1091 | d(ja+j) = (b(ia+i)+b3) + b11 |
---|
1092 | c(jc+j) = a20 - b21 |
---|
1093 | d(jc+j) = a21 + b20 |
---|
1094 | c(je+j) = a20 + b21 |
---|
1095 | d(je+j) = a21 - b20 |
---|
1096 | a11 = (a2-a5) + (a4-a1) |
---|
1097 | a20 = (a(ia+i)-a3) - 0.5_wp*a11 |
---|
1098 | a21 = sin60*((a4-a1)-(a2-a5)) |
---|
1099 | b11 = (b5-b2) - (b4-b1) |
---|
1100 | b20 = (b3-b(ia+i)) - 0.5_wp*b11 |
---|
1101 | b21 = sin60*((b5-b2)+(b4-b1)) |
---|
1102 | c(jb+j) = a20 - b21 |
---|
1103 | d(jb+j) = a21 - b20 |
---|
1104 | c(jd+j) = a11 + (a(ia+i)-a3) |
---|
1105 | d(jd+j) = b11 + (b3-b(ia+i)) |
---|
1106 | c(jf+j) = a20 + b21 |
---|
1107 | d(jf+j) = a21 + b20 |
---|
1108 | i = i + inc3 |
---|
1109 | j = j + inc4 |
---|
1110 | END DO |
---|
1111 | ibase = ibase + inc1 |
---|
1112 | jbase = jbase + inc2 |
---|
1113 | END DO |
---|
1114 | ibase = ibase + ijump |
---|
1115 | ja = ja + jink |
---|
1116 | jb = jb + jink |
---|
1117 | jc = jc + jink |
---|
1118 | jd = jd - jink |
---|
1119 | je = je - jink |
---|
1120 | jf = jf - jink |
---|
1121 | END DO |
---|
1122 | IF (jc>jd) GO TO 170 |
---|
1123 | 140 CONTINUE |
---|
1124 | jbase = 0 |
---|
1125 | DO l = 1, la |
---|
1126 | i = ibase |
---|
1127 | j = jbase |
---|
1128 | !DIR$ IVDEP |
---|
1129 | !CDIR NODEP |
---|
1130 | !OCL NOVREC |
---|
1131 | DO ijk = 1, lot |
---|
1132 | c(ja+j) = (a(ia+i)+0.5_wp*(a(ic+i)-a(ie+i))) + sin60*(a(ib+i)-a(if+i)) |
---|
1133 | d(ja+j) = -(a(id+i)+0.5_wp*(a(ib+i)+a(if+i))) - sin60*(a(ic+i)+a(ie+i)) |
---|
1134 | c(jb+j) = a(ia+i) - (a(ic+i)-a(ie+i)) |
---|
1135 | d(jb+j) = a(id+i) - (a(ib+i)+a(if+i)) |
---|
1136 | c(jc+j) = (a(ia+i)+0.5_wp*(a(ic+i)-a(ie+i))) - sin60*(a(ib+i)-a(if+i)) |
---|
1137 | d(jc+j) = -(a(id+i)+0.5_wp*(a(ib+i)+a(if+i))) + sin60*(a(ic+i)+a(ie+i)) |
---|
1138 | i = i + inc3 |
---|
1139 | j = j + inc4 |
---|
1140 | END DO |
---|
1141 | ibase = ibase + inc1 |
---|
1142 | jbase = jbase + inc2 |
---|
1143 | END DO |
---|
1144 | |
---|
1145 | GO TO 170 |
---|
1146 | 150 CONTINUE |
---|
1147 | z = 1.0_wp/REAL(n,KIND=wp) |
---|
1148 | zsin60 = z*sin60 |
---|
1149 | DO l = 1, la |
---|
1150 | i = ibase |
---|
1151 | j = jbase |
---|
1152 | !DIR$ IVDEP |
---|
1153 | !CDIR NODEP |
---|
1154 | !OCL NOVREC |
---|
1155 | DO ijk = 1, lot |
---|
1156 | a11 = (a(ic+i)+a(if+i)) + (a(ib+i)+a(ie+i)) |
---|
1157 | c(ja+j) = z*((a(ia+i)+a(id+i))+a11) |
---|
1158 | c(jc+j) = z*((a(ia+i)+a(id+i))-0.5_wp*a11) |
---|
1159 | d(jc+j) = zsin60*((a(ic+i)+a(if+i))-(a(ib+i)+a(ie+i))) |
---|
1160 | a11 = (a(ic+i)-a(if+i)) + (a(ie+i)-a(ib+i)) |
---|
1161 | c(jb+j) = z*((a(ia+i)-a(id+i))-0.5_wp*a11) |
---|
1162 | d(jb+j) = zsin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
---|
1163 | c(jd+j) = z*((a(ia+i)-a(id+i))+a11) |
---|
1164 | i = i + inc3 |
---|
1165 | j = j + inc4 |
---|
1166 | END DO |
---|
1167 | ibase = ibase + inc1 |
---|
1168 | jbase = jbase + inc2 |
---|
1169 | END DO |
---|
1170 | GO TO 170 |
---|
1171 | |
---|
1172 | ! Coding for factor 8 |
---|
1173 | |
---|
1174 | 160 CONTINUE |
---|
1175 | ibad = 3 |
---|
1176 | IF (la/=m) GO TO 180 |
---|
1177 | ia = 1 |
---|
1178 | ib = ia + iink |
---|
1179 | ic = ib + iink |
---|
1180 | id = ic + iink |
---|
1181 | ie = id + iink |
---|
1182 | if = ie + iink |
---|
1183 | ig = if + iink |
---|
1184 | ih = ig + iink |
---|
1185 | ja = 1 |
---|
1186 | jb = ja + la*inc2 |
---|
1187 | jc = jb + 2*m*inc2 |
---|
1188 | jd = jc + 2*m*inc2 |
---|
1189 | je = jd + 2*m*inc2 |
---|
1190 | z = 1.0_wp/REAL(n,KIND=wp) |
---|
1191 | zsin45 = z*SQRT(0.5_wp) |
---|
1192 | |
---|
1193 | DO l = 1, la |
---|
1194 | i = ibase |
---|
1195 | j = jbase |
---|
1196 | !DIR$ IVDEP |
---|
1197 | !CDIR NODEP |
---|
1198 | !OCL NOVREC |
---|
1199 | DO ijk = 1, lot |
---|
1200 | c(ja+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))+((a(id+i)+ & |
---|
1201 | & a(ih+i))+(a(ib+i)+a(if+i)))) |
---|
1202 | c(je+j) = z*(((a(ia+i)+a(ie+i))+(a(ic+i)+a(ig+i)))-((a(id+i)+ & |
---|
1203 | & a(ih+i))+(a(ib+i)+a(if+i)))) |
---|
1204 | c(jc+j) = z*((a(ia+i)+a(ie+i))-(a(ic+i)+a(ig+i))) |
---|
1205 | d(jc+j) = z*((a(id+i)+a(ih+i))-(a(ib+i)+a(if+i))) |
---|
1206 | c(jb+j) = z*(a(ia+i)-a(ie+i)) + zsin45*((a(ih+i)-a(id+i))-(a(if+ & |
---|
1207 | & i)-a(ib+i))) |
---|
1208 | c(jd+j) = z*(a(ia+i)-a(ie+i)) - zsin45*((a(ih+i)-a(id+i))-(a(if+ & |
---|
1209 | & i)-a(ib+i))) |
---|
1210 | d(jb+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) + & |
---|
1211 | & z*(a(ig+i)-a(ic+i)) |
---|
1212 | d(jd+j) = zsin45*((a(ih+i)-a(id+i))+(a(if+i)-a(ib+i))) - & |
---|
1213 | & z*(a(ig+i)-a(ic+i)) |
---|
1214 | i = i + inc3 |
---|
1215 | j = j + inc4 |
---|
1216 | END DO |
---|
1217 | ibase = ibase + inc1 |
---|
1218 | jbase = jbase + inc2 |
---|
1219 | END DO |
---|
1220 | |
---|
1221 | ! Return |
---|
1222 | |
---|
1223 | 170 CONTINUE |
---|
1224 | ibad = 0 |
---|
1225 | 180 CONTINUE |
---|
1226 | ierr = ibad |
---|
1227 | RETURN |
---|
1228 | END SUBROUTINE qpassm |
---|
1229 | |
---|
1230 | !------------------------------------------------------------------------------! |
---|
1231 | ! Description: |
---|
1232 | ! ------------ |
---|
1233 | !> @todo Missing subroutine description. |
---|
1234 | !------------------------------------------------------------------------------! |
---|
1235 | SUBROUTINE rpassm(a,b,c,d,trigs,inc1,inc2,inc3,inc4,lot,n,ifac,la,ierr) |
---|
1236 | ! Dimension a(n),b(n),c(n),d(n),trigs(n) |
---|
1237 | |
---|
1238 | USE kinds |
---|
1239 | |
---|
1240 | IMPLICIT NONE |
---|
1241 | |
---|
1242 | ! Scalar arguments |
---|
1243 | INTEGER(iwp) :: ierr !< |
---|
1244 | INTEGER(iwp) :: ifac !< |
---|
1245 | INTEGER(iwp) :: inc1 !< |
---|
1246 | INTEGER(iwp) :: inc2 !< |
---|
1247 | INTEGER(iwp) :: inc3 !< |
---|
1248 | INTEGER(iwp) :: inc4 !< |
---|
1249 | INTEGER(iwp) :: la !< |
---|
1250 | INTEGER(iwp) :: lot !< |
---|
1251 | INTEGER(iwp) :: n !< |
---|
1252 | |
---|
1253 | ! Array arguments |
---|
1254 | REAL(wp) :: a(*) !< |
---|
1255 | REAL(wp) :: b(*) !< |
---|
1256 | REAL(wp) :: c(*) !< |
---|
1257 | REAL(wp) :: d(*) !< |
---|
1258 | REAL(wp) :: trigs(*) !< |
---|
1259 | |
---|
1260 | ! Local scalars: |
---|
1261 | REAL(wp) :: c1 !< |
---|
1262 | REAL(wp) :: c2 !< |
---|
1263 | REAL(wp) :: c3 !< |
---|
1264 | REAL(wp) :: c4 !< |
---|
1265 | REAL(wp) :: c5 !< |
---|
1266 | REAL(wp) :: qqrt5 !< |
---|
1267 | REAL(wp) :: qrt5 !< |
---|
1268 | REAL(wp) :: s1 !< |
---|
1269 | REAL(wp) :: s2 !< |
---|
1270 | REAL(wp) :: s3 !< |
---|
1271 | REAL(wp) :: s4 !< |
---|
1272 | REAL(wp) :: s5 !< |
---|
1273 | REAL(wp) :: sin36 !< |
---|
1274 | REAL(wp) :: sin45 !< |
---|
1275 | REAL(wp) :: sin60 !< |
---|
1276 | REAL(wp) :: sin72 !< |
---|
1277 | REAL(wp) :: ssin36 !< |
---|
1278 | REAL(wp) :: ssin45 !< |
---|
1279 | REAL(wp) :: ssin60 !< |
---|
1280 | REAL(wp) :: ssin72 !< |
---|
1281 | |
---|
1282 | INTEGER(iwp) :: i !< |
---|
1283 | INTEGER(iwp) :: ia !< |
---|
1284 | INTEGER(iwp) :: ib !< |
---|
1285 | INTEGER(iwp) :: ibad !< |
---|
1286 | INTEGER(iwp) :: ibase !< |
---|
1287 | INTEGER(iwp) :: ic !< |
---|
1288 | INTEGER(iwp) :: id !< |
---|
1289 | INTEGER(iwp) :: ie !< |
---|
1290 | INTEGER(iwp) :: if !< |
---|
1291 | INTEGER(iwp) :: igo !< |
---|
1292 | INTEGER(iwp) :: iink !< |
---|
1293 | INTEGER(iwp) :: ijk !< |
---|
1294 | INTEGER(iwp) :: j !< |
---|
1295 | INTEGER(iwp) :: ja !< |
---|
1296 | INTEGER(iwp) :: jb !< |
---|
1297 | INTEGER(iwp) :: jbase !< |
---|
1298 | INTEGER(iwp) :: jc !< |
---|
1299 | INTEGER(iwp) :: jd !< |
---|
1300 | INTEGER(iwp) :: je !< |
---|
1301 | INTEGER(iwp) :: jf !< |
---|
1302 | INTEGER(iwp) :: jg !< |
---|
1303 | INTEGER(iwp) :: jh !< |
---|
1304 | INTEGER(iwp) :: jink !< |
---|
1305 | INTEGER(iwp) :: jump !< |
---|
1306 | INTEGER(iwp) :: k !< |
---|
1307 | INTEGER(iwp) :: kb !< |
---|
1308 | INTEGER(iwp) :: kc !< |
---|
1309 | INTEGER(iwp) :: kd !< |
---|
1310 | INTEGER(iwp) :: ke !< |
---|
1311 | INTEGER(iwp) :: kf !< |
---|
1312 | INTEGER(iwp) :: kstop !< |
---|
1313 | INTEGER(iwp) :: l !< |
---|
1314 | INTEGER(iwp) :: m !< |
---|
1315 | |
---|
1316 | ! Local arrays: |
---|
1317 | REAL(wp) :: a10(nfft) !< |
---|
1318 | REAL(wp) :: a11(nfft) !< |
---|
1319 | REAL(wp) :: a20(nfft) !< |
---|
1320 | REAL(wp) :: a21(nfft) !< |
---|
1321 | REAL(wp) :: b10(nfft) !< |
---|
1322 | REAL(wp) :: b11(nfft) !< |
---|
1323 | REAL(wp) :: b20(nfft) !< |
---|
1324 | REAL(wp) :: b21(nfft) !< |
---|
1325 | |
---|
1326 | ! Intrinsic functions |
---|
1327 | ! INTRINSIC SQRT |
---|
1328 | |
---|
1329 | ! Data statements |
---|
1330 | DATA sin36/0.587785252292473_wp/, sin72/0.951056516295154_wp/, & |
---|
1331 | & qrt5/0.559016994374947_wp/, sin60/0.866025403784437_wp/ |
---|
1332 | |
---|
1333 | |
---|
1334 | ! Executable statements |
---|
1335 | |
---|
1336 | m = n/ifac |
---|
1337 | iink = la*inc1 |
---|
1338 | jink = la*inc2 |
---|
1339 | jump = (ifac-1)*jink |
---|
1340 | kstop = (n-ifac)/(2*ifac) |
---|
1341 | |
---|
1342 | ibad = 1 |
---|
1343 | IF (lot>nfft) GO TO 180 |
---|
1344 | ibase = 0 |
---|
1345 | jbase = 0 |
---|
1346 | igo = ifac - 1 |
---|
1347 | IF (igo==7) igo = 6 |
---|
1348 | ibad = 2 |
---|
1349 | IF (igo<1 .OR. igo>6) GO TO 180 |
---|
1350 | GO TO (10,40,70,100,130,160) igo |
---|
1351 | |
---|
1352 | ! Coding for factor 2 |
---|
1353 | |
---|
1354 | 10 CONTINUE |
---|
1355 | ia = 1 |
---|
1356 | ib = ia + (2*m-la)*inc1 |
---|
1357 | ja = 1 |
---|
1358 | jb = ja + jink |
---|
1359 | |
---|
1360 | IF (la==m) GO TO 30 |
---|
1361 | |
---|
1362 | DO l = 1, la |
---|
1363 | i = ibase |
---|
1364 | j = jbase |
---|
1365 | !DIR$ IVDEP |
---|
1366 | !CDIR NODEP |
---|
1367 | !OCL NOVREC |
---|
1368 | DO ijk = 1, lot |
---|
1369 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1370 | c(jb+j) = a(ia+i) - a(ib+i) |
---|
1371 | i = i + inc3 |
---|
1372 | j = j + inc4 |
---|
1373 | END DO |
---|
1374 | ibase = ibase + inc1 |
---|
1375 | jbase = jbase + inc2 |
---|
1376 | END DO |
---|
1377 | ia = ia + iink |
---|
1378 | iink = 2*iink |
---|
1379 | ib = ib - iink |
---|
1380 | ibase = 0 |
---|
1381 | jbase = jbase + jump |
---|
1382 | jump = 2*jump + jink |
---|
1383 | IF (ia==ib) GO TO 20 |
---|
1384 | DO k = la, kstop, la |
---|
1385 | kb = k + k |
---|
1386 | c1 = trigs(kb+1) |
---|
1387 | s1 = trigs(kb+2) |
---|
1388 | ibase = 0 |
---|
1389 | DO l = 1, la |
---|
1390 | i = ibase |
---|
1391 | j = jbase |
---|
1392 | !DIR$ IVDEP |
---|
1393 | !CDIR NODEP |
---|
1394 | !OCL NOVREC |
---|
1395 | DO ijk = 1, lot |
---|
1396 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1397 | d(ja+j) = b(ia+i) - b(ib+i) |
---|
1398 | c(jb+j) = c1*(a(ia+i)-a(ib+i)) - s1*(b(ia+i)+b(ib+i)) |
---|
1399 | d(jb+j) = s1*(a(ia+i)-a(ib+i)) + c1*(b(ia+i)+b(ib+i)) |
---|
1400 | i = i + inc3 |
---|
1401 | j = j + inc4 |
---|
1402 | END DO |
---|
1403 | ibase = ibase + inc1 |
---|
1404 | jbase = jbase + inc2 |
---|
1405 | END DO |
---|
1406 | ia = ia + iink |
---|
1407 | ib = ib - iink |
---|
1408 | jbase = jbase + jump |
---|
1409 | END DO |
---|
1410 | IF (ia>ib) GO TO 170 |
---|
1411 | 20 CONTINUE |
---|
1412 | ibase = 0 |
---|
1413 | DO l = 1, la |
---|
1414 | i = ibase |
---|
1415 | j = jbase |
---|
1416 | !DIR$ IVDEP |
---|
1417 | !CDIR NODEP |
---|
1418 | !OCL NOVREC |
---|
1419 | DO ijk = 1, lot |
---|
1420 | c(ja+j) = a(ia+i) |
---|
1421 | c(jb+j) = -b(ia+i) |
---|
1422 | i = i + inc3 |
---|
1423 | j = j + inc4 |
---|
1424 | END DO |
---|
1425 | ibase = ibase + inc1 |
---|
1426 | jbase = jbase + inc2 |
---|
1427 | END DO |
---|
1428 | |
---|
1429 | GO TO 170 |
---|
1430 | 30 CONTINUE |
---|
1431 | DO l = 1, la |
---|
1432 | i = ibase |
---|
1433 | j = jbase |
---|
1434 | !DIR$ IVDEP |
---|
1435 | !CDIR NODEP |
---|
1436 | !OCL NOVREC |
---|
1437 | DO ijk = 1, lot |
---|
1438 | c(ja+j) = 2.0_wp*(a(ia+i)+a(ib+i)) |
---|
1439 | c(jb+j) = 2.0_wp*(a(ia+i)-a(ib+i)) |
---|
1440 | i = i + inc3 |
---|
1441 | j = j + inc4 |
---|
1442 | END DO |
---|
1443 | ibase = ibase + inc1 |
---|
1444 | jbase = jbase + inc2 |
---|
1445 | END DO |
---|
1446 | GO TO 170 |
---|
1447 | |
---|
1448 | ! Coding for factor 3 |
---|
1449 | |
---|
1450 | 40 CONTINUE |
---|
1451 | ia = 1 |
---|
1452 | ib = ia + (2*m-la)*inc1 |
---|
1453 | ic = ib |
---|
1454 | ja = 1 |
---|
1455 | jb = ja + jink |
---|
1456 | jc = jb + jink |
---|
1457 | |
---|
1458 | IF (la==m) GO TO 60 |
---|
1459 | |
---|
1460 | DO l = 1, la |
---|
1461 | i = ibase |
---|
1462 | j = jbase |
---|
1463 | !DIR$ IVDEP |
---|
1464 | !CDIR NODEP |
---|
1465 | !OCL NOVREC |
---|
1466 | DO ijk = 1, lot |
---|
1467 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1468 | c(jb+j) = (a(ia+i)-0.5_wp*a(ib+i)) - (sin60*(b(ib+i))) |
---|
1469 | c(jc+j) = (a(ia+i)-0.5_wp*a(ib+i)) + (sin60*(b(ib+i))) |
---|
1470 | i = i + inc3 |
---|
1471 | j = j + inc4 |
---|
1472 | END DO |
---|
1473 | ibase = ibase + inc1 |
---|
1474 | jbase = jbase + inc2 |
---|
1475 | END DO |
---|
1476 | ia = ia + iink |
---|
1477 | iink = 2*iink |
---|
1478 | ib = ib + iink |
---|
1479 | ic = ic - iink |
---|
1480 | jbase = jbase + jump |
---|
1481 | jump = 2*jump + jink |
---|
1482 | IF (ia==ic) GO TO 50 |
---|
1483 | DO k = la, kstop, la |
---|
1484 | kb = k + k |
---|
1485 | kc = kb + kb |
---|
1486 | c1 = trigs(kb+1) |
---|
1487 | s1 = trigs(kb+2) |
---|
1488 | c2 = trigs(kc+1) |
---|
1489 | s2 = trigs(kc+2) |
---|
1490 | ibase = 0 |
---|
1491 | DO l = 1, la |
---|
1492 | i = ibase |
---|
1493 | j = jbase |
---|
1494 | !DIR$ IVDEP |
---|
1495 | !CDIR NODEP |
---|
1496 | !OCL NOVREC |
---|
1497 | DO ijk = 1, lot |
---|
1498 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
---|
1499 | d(ja+j) = b(ia+i) + (b(ib+i)-b(ic+i)) |
---|
1500 | c(jb+j) = c1*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ & |
---|
1501 | & b(ic+i)))) & |
---|
1502 | & - s1*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- & |
---|
1503 | & a(ic+i)))) |
---|
1504 | d(jb+j) = s1*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))-(sin60*(b(ib+i)+ & |
---|
1505 | & b(ic+i)))) & |
---|
1506 | & + c1*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))+(sin60*(a(ib+i)- & |
---|
1507 | & a(ic+i)))) |
---|
1508 | c(jc+j) = c2*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ & |
---|
1509 | & b(ic+i)))) & |
---|
1510 | & - s2*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- & |
---|
1511 | & a(ic+i)))) |
---|
1512 | d(jc+j) = s2*((a(ia+i)-0.5_wp*(a(ib+i)+a(ic+i)))+(sin60*(b(ib+i)+ & |
---|
1513 | & b(ic+i)))) & |
---|
1514 | & + c2*((b(ia+i)-0.5_wp*(b(ib+i)-b(ic+i)))-(sin60*(a(ib+i)- & |
---|
1515 | & a(ic+i)))) |
---|
1516 | i = i + inc3 |
---|
1517 | j = j + inc4 |
---|
1518 | END DO |
---|
1519 | ibase = ibase + inc1 |
---|
1520 | jbase = jbase + inc2 |
---|
1521 | END DO |
---|
1522 | ia = ia + iink |
---|
1523 | ib = ib + iink |
---|
1524 | ic = ic - iink |
---|
1525 | jbase = jbase + jump |
---|
1526 | END DO |
---|
1527 | IF (ia>ic) GO TO 170 |
---|
1528 | 50 CONTINUE |
---|
1529 | ibase = 0 |
---|
1530 | DO l = 1, la |
---|
1531 | i = ibase |
---|
1532 | j = jbase |
---|
1533 | !DIR$ IVDEP |
---|
1534 | !CDIR NODEP |
---|
1535 | !OCL NOVREC |
---|
1536 | DO ijk = 1, lot |
---|
1537 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1538 | c(jb+j) = (0.5_wp*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
---|
1539 | c(jc+j) = -(0.5_wp*a(ia+i)-a(ib+i)) - (sin60*b(ia+i)) |
---|
1540 | i = i + inc3 |
---|
1541 | j = j + inc4 |
---|
1542 | END DO |
---|
1543 | ibase = ibase + inc1 |
---|
1544 | jbase = jbase + inc2 |
---|
1545 | END DO |
---|
1546 | |
---|
1547 | GO TO 170 |
---|
1548 | 60 CONTINUE |
---|
1549 | ssin60 = 2.0_wp*sin60 |
---|
1550 | DO l = 1, la |
---|
1551 | i = ibase |
---|
1552 | j = jbase |
---|
1553 | !DIR$ IVDEP |
---|
1554 | !CDIR NODEP |
---|
1555 | !OCL NOVREC |
---|
1556 | DO ijk = 1, lot |
---|
1557 | c(ja+j) = 2.0_wp*(a(ia+i)+a(ib+i)) |
---|
1558 | c(jb+j) = (2.0_wp*a(ia+i)-a(ib+i)) - (ssin60*b(ib+i)) |
---|
1559 | c(jc+j) = (2.0_wp*a(ia+i)-a(ib+i)) + (ssin60*b(ib+i)) |
---|
1560 | i = i + inc3 |
---|
1561 | j = j + inc4 |
---|
1562 | END DO |
---|
1563 | ibase = ibase + inc1 |
---|
1564 | jbase = jbase + inc2 |
---|
1565 | END DO |
---|
1566 | GO TO 170 |
---|
1567 | |
---|
1568 | ! Coding for factor 4 |
---|
1569 | |
---|
1570 | 70 CONTINUE |
---|
1571 | ia = 1 |
---|
1572 | ib = ia + (2*m-la)*inc1 |
---|
1573 | ic = ib + 2*m*inc1 |
---|
1574 | id = ib |
---|
1575 | ja = 1 |
---|
1576 | jb = ja + jink |
---|
1577 | jc = jb + jink |
---|
1578 | jd = jc + jink |
---|
1579 | |
---|
1580 | IF (la==m) GO TO 90 |
---|
1581 | |
---|
1582 | DO l = 1, la |
---|
1583 | i = ibase |
---|
1584 | j = jbase |
---|
1585 | !DIR$ IVDEP |
---|
1586 | !CDIR NODEP |
---|
1587 | !OCL NOVREC |
---|
1588 | DO ijk = 1, lot |
---|
1589 | c(ja+j) = (a(ia+i)+a(ic+i)) + a(ib+i) |
---|
1590 | c(jb+j) = (a(ia+i)-a(ic+i)) - b(ib+i) |
---|
1591 | c(jc+j) = (a(ia+i)+a(ic+i)) - a(ib+i) |
---|
1592 | c(jd+j) = (a(ia+i)-a(ic+i)) + b(ib+i) |
---|
1593 | i = i + inc3 |
---|
1594 | j = j + inc4 |
---|
1595 | END DO |
---|
1596 | ibase = ibase + inc1 |
---|
1597 | jbase = jbase + inc2 |
---|
1598 | END DO |
---|
1599 | ia = ia + iink |
---|
1600 | iink = 2*iink |
---|
1601 | ib = ib + iink |
---|
1602 | ic = ic - iink |
---|
1603 | id = id - iink |
---|
1604 | jbase = jbase + jump |
---|
1605 | jump = 2*jump + jink |
---|
1606 | IF (ib==ic) GO TO 80 |
---|
1607 | DO k = la, kstop, la |
---|
1608 | kb = k + k |
---|
1609 | kc = kb + kb |
---|
1610 | kd = kc + kb |
---|
1611 | c1 = trigs(kb+1) |
---|
1612 | s1 = trigs(kb+2) |
---|
1613 | c2 = trigs(kc+1) |
---|
1614 | s2 = trigs(kc+2) |
---|
1615 | c3 = trigs(kd+1) |
---|
1616 | s3 = trigs(kd+2) |
---|
1617 | ibase = 0 |
---|
1618 | DO l = 1, la |
---|
1619 | i = ibase |
---|
1620 | j = jbase |
---|
1621 | !DIR$ IVDEP |
---|
1622 | !CDIR NODEP |
---|
1623 | !OCL NOVREC |
---|
1624 | DO ijk = 1, lot |
---|
1625 | c(ja+j) = (a(ia+i)+a(ic+i)) + (a(ib+i)+a(id+i)) |
---|
1626 | d(ja+j) = (b(ia+i)-b(ic+i)) + (b(ib+i)-b(id+i)) |
---|
1627 | c(jc+j) = c2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) - s2*((b(ia+ & |
---|
1628 | & i)-b(ic+i))-(b(ib+i)-b(id+i))) |
---|
1629 | d(jc+j) = s2*((a(ia+i)+a(ic+i))-(a(ib+i)+a(id+i))) + c2*((b(ia+ & |
---|
1630 | & i)-b(ic+i))-(b(ib+i)-b(id+i))) |
---|
1631 | c(jb+j) = c1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) - s1*((b(ia+ & |
---|
1632 | & i)+b(ic+i))+(a(ib+i)-a(id+i))) |
---|
1633 | d(jb+j) = s1*((a(ia+i)-a(ic+i))-(b(ib+i)+b(id+i))) + c1*((b(ia+ & |
---|
1634 | & i)+b(ic+i))+(a(ib+i)-a(id+i))) |
---|
1635 | c(jd+j) = c3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) - s3*((b(ia+ & |
---|
1636 | & i)+b(ic+i))-(a(ib+i)-a(id+i))) |
---|
1637 | d(jd+j) = s3*((a(ia+i)-a(ic+i))+(b(ib+i)+b(id+i))) + c3*((b(ia+ & |
---|
1638 | & i)+b(ic+i))-(a(ib+i)-a(id+i))) |
---|
1639 | i = i + inc3 |
---|
1640 | j = j + inc4 |
---|
1641 | END DO |
---|
1642 | ibase = ibase + inc1 |
---|
1643 | jbase = jbase + inc2 |
---|
1644 | END DO |
---|
1645 | ia = ia + iink |
---|
1646 | ib = ib + iink |
---|
1647 | ic = ic - iink |
---|
1648 | id = id - iink |
---|
1649 | jbase = jbase + jump |
---|
1650 | END DO |
---|
1651 | IF (ib>ic) GO TO 170 |
---|
1652 | 80 CONTINUE |
---|
1653 | ibase = 0 |
---|
1654 | sin45 = SQRT(0.5_wp) |
---|
1655 | DO l = 1, la |
---|
1656 | i = ibase |
---|
1657 | j = jbase |
---|
1658 | !DIR$ IVDEP |
---|
1659 | !CDIR NODEP |
---|
1660 | !OCL NOVREC |
---|
1661 | DO ijk = 1, lot |
---|
1662 | c(ja+j) = a(ia+i) + a(ib+i) |
---|
1663 | c(jb+j) = sin45*((a(ia+i)-a(ib+i))-(b(ia+i)+b(ib+i))) |
---|
1664 | c(jc+j) = b(ib+i) - b(ia+i) |
---|
1665 | c(jd+j) = -sin45*((a(ia+i)-a(ib+i))+(b(ia+i)+b(ib+i))) |
---|
1666 | i = i + inc3 |
---|
1667 | j = j + inc4 |
---|
1668 | END DO |
---|
1669 | ibase = ibase + inc1 |
---|
1670 | jbase = jbase + inc2 |
---|
1671 | END DO |
---|
1672 | |
---|
1673 | GO TO 170 |
---|
1674 | 90 CONTINUE |
---|
1675 | DO l = 1, la |
---|
1676 | i = ibase |
---|
1677 | j = jbase |
---|
1678 | !DIR$ IVDEP |
---|
1679 | !CDIR NODEP |
---|
1680 | !OCL NOVREC |
---|
1681 | DO ijk = 1, lot |
---|
1682 | c(ja+j) = 2.0_wp*((a(ia+i)+a(ic+i))+a(ib+i)) |
---|
1683 | c(jb+j) = 2.0_wp*((a(ia+i)-a(ic+i))-b(ib+i)) |
---|
1684 | c(jc+j) = 2.0_wp*((a(ia+i)+a(ic+i))-a(ib+i)) |
---|
1685 | c(jd+j) = 2.0_wp*((a(ia+i)-a(ic+i))+b(ib+i)) |
---|
1686 | i = i + inc3 |
---|
1687 | j = j + inc4 |
---|
1688 | END DO |
---|
1689 | ibase = ibase + inc1 |
---|
1690 | jbase = jbase + inc2 |
---|
1691 | END DO |
---|
1692 | |
---|
1693 | ! Coding for factor 5 |
---|
1694 | |
---|
1695 | GO TO 170 |
---|
1696 | 100 CONTINUE |
---|
1697 | ia = 1 |
---|
1698 | ib = ia + (2*m-la)*inc1 |
---|
1699 | ic = ib + 2*m*inc1 |
---|
1700 | id = ic |
---|
1701 | ie = ib |
---|
1702 | ja = 1 |
---|
1703 | jb = ja + jink |
---|
1704 | jc = jb + jink |
---|
1705 | jd = jc + jink |
---|
1706 | je = jd + jink |
---|
1707 | |
---|
1708 | IF (la==m) GO TO 120 |
---|
1709 | |
---|
1710 | DO l = 1, la |
---|
1711 | i = ibase |
---|
1712 | j = jbase |
---|
1713 | !DIR$ IVDEP |
---|
1714 | !CDIR NODEP |
---|
1715 | !OCL NOVREC |
---|
1716 | DO ijk = 1, lot |
---|
1717 | c(ja+j) = a(ia+i) + (a(ib+i)+a(ic+i)) |
---|
1718 | c(jb+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) - & |
---|
1719 | & (sin72*b(ib+i)+sin36*b(ic+i)) |
---|
1720 | c(jc+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) - & |
---|
1721 | & (sin36*b(ib+i)-sin72*b(ic+i)) |
---|
1722 | c(jd+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qrt5*(a(ib+i)-a(ic+i))) + & |
---|
1723 | & (sin36*b(ib+i)-sin72*b(ic+i)) |
---|
1724 | c(je+j) = ((a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qrt5*(a(ib+i)-a(ic+i))) + & |
---|
1725 | & (sin72*b(ib+i)+sin36*b(ic+i)) |
---|
1726 | i = i + inc3 |
---|
1727 | j = j + inc4 |
---|
1728 | END DO |
---|
1729 | ibase = ibase + inc1 |
---|
1730 | jbase = jbase + inc2 |
---|
1731 | END DO |
---|
1732 | ia = ia + iink |
---|
1733 | iink = 2*iink |
---|
1734 | ib = ib + iink |
---|
1735 | ic = ic + iink |
---|
1736 | id = id - iink |
---|
1737 | ie = ie - iink |
---|
1738 | jbase = jbase + jump |
---|
1739 | jump = 2*jump + jink |
---|
1740 | IF (ib==id) GO TO 110 |
---|
1741 | DO k = la, kstop, la |
---|
1742 | kb = k + k |
---|
1743 | kc = kb + kb |
---|
1744 | kd = kc + kb |
---|
1745 | ke = kd + kb |
---|
1746 | c1 = trigs(kb+1) |
---|
1747 | s1 = trigs(kb+2) |
---|
1748 | c2 = trigs(kc+1) |
---|
1749 | s2 = trigs(kc+2) |
---|
1750 | c3 = trigs(kd+1) |
---|
1751 | s3 = trigs(kd+2) |
---|
1752 | c4 = trigs(ke+1) |
---|
1753 | s4 = trigs(ke+2) |
---|
1754 | ibase = 0 |
---|
1755 | DO l = 1, la |
---|
1756 | i = ibase |
---|
1757 | j = jbase |
---|
1758 | !DIR$ IVDEP |
---|
1759 | !CDIR NODEP |
---|
1760 | !OCL NOVREC |
---|
1761 | DO ijk = 1, lot |
---|
1762 | |
---|
1763 | a10(ijk) = (a(ia+i)-0.25_wp*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) + & |
---|
1764 | & qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
---|
1765 | a20(ijk) = (a(ia+i)-0.25_wp*((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i)))) - & |
---|
1766 | & qrt5*((a(ib+i)+a(ie+i))-(a(ic+i)+a(id+i))) |
---|
1767 | b10(ijk) = (b(ia+i)-0.25_wp*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) + & |
---|
1768 | & qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
---|
1769 | b20(ijk) = (b(ia+i)-0.25_wp*((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i)))) - & |
---|
1770 | & qrt5*((b(ib+i)-b(ie+i))-(b(ic+i)-b(id+i))) |
---|
1771 | a11(ijk) = sin72*(b(ib+i)+b(ie+i)) + sin36*(b(ic+i)+b(id+i)) |
---|
1772 | a21(ijk) = sin36*(b(ib+i)+b(ie+i)) - sin72*(b(ic+i)+b(id+i)) |
---|
1773 | b11(ijk) = sin72*(a(ib+i)-a(ie+i)) + sin36*(a(ic+i)-a(id+i)) |
---|
1774 | b21(ijk) = sin36*(a(ib+i)-a(ie+i)) - sin72*(a(ic+i)-a(id+i)) |
---|
1775 | |
---|
1776 | c(ja+j) = a(ia+i) + ((a(ib+i)+a(ie+i))+(a(ic+i)+a(id+i))) |
---|
1777 | d(ja+j) = b(ia+i) + ((b(ib+i)-b(ie+i))+(b(ic+i)-b(id+i))) |
---|
1778 | c(jb+j) = c1*(a10(ijk)-a11(ijk)) - s1*(b10(ijk)+b11(ijk)) |
---|
1779 | d(jb+j) = s1*(a10(ijk)-a11(ijk)) + c1*(b10(ijk)+b11(ijk)) |
---|
1780 | c(je+j) = c4*(a10(ijk)+a11(ijk)) - s4*(b10(ijk)-b11(ijk)) |
---|
1781 | d(je+j) = s4*(a10(ijk)+a11(ijk)) + c4*(b10(ijk)-b11(ijk)) |
---|
1782 | c(jc+j) = c2*(a20(ijk)-a21(ijk)) - s2*(b20(ijk)+b21(ijk)) |
---|
1783 | d(jc+j) = s2*(a20(ijk)-a21(ijk)) + c2*(b20(ijk)+b21(ijk)) |
---|
1784 | c(jd+j) = c3*(a20(ijk)+a21(ijk)) - s3*(b20(ijk)-b21(ijk)) |
---|
1785 | d(jd+j) = s3*(a20(ijk)+a21(ijk)) + c3*(b20(ijk)-b21(ijk)) |
---|
1786 | |
---|
1787 | i = i + inc3 |
---|
1788 | j = j + inc4 |
---|
1789 | END DO |
---|
1790 | ibase = ibase + inc1 |
---|
1791 | jbase = jbase + inc2 |
---|
1792 | END DO |
---|
1793 | ia = ia + iink |
---|
1794 | ib = ib + iink |
---|
1795 | ic = ic + iink |
---|
1796 | id = id - iink |
---|
1797 | ie = ie - iink |
---|
1798 | jbase = jbase + jump |
---|
1799 | END DO |
---|
1800 | IF (ib>id) GO TO 170 |
---|
1801 | 110 CONTINUE |
---|
1802 | ibase = 0 |
---|
1803 | DO l = 1, la |
---|
1804 | i = ibase |
---|
1805 | j = jbase |
---|
1806 | !DIR$ IVDEP |
---|
1807 | !CDIR NODEP |
---|
1808 | !OCL NOVREC |
---|
1809 | DO ijk = 1, lot |
---|
1810 | c(ja+j) = (a(ia+i)+a(ib+i)) + a(ic+i) |
---|
1811 | c(jb+j) = (qrt5*(a(ia+i)-a(ib+i))+(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1812 | & (sin36*b(ia+i)+sin72*b(ib+i)) |
---|
1813 | c(je+j) = -(qrt5*(a(ia+i)-a(ib+i))+(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1814 | & (sin36*b(ia+i)+sin72*b(ib+i)) |
---|
1815 | c(jc+j) = (qrt5*(a(ia+i)-a(ib+i))-(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1816 | & (sin72*b(ia+i)-sin36*b(ib+i)) |
---|
1817 | c(jd+j) = -(qrt5*(a(ia+i)-a(ib+i))-(0.25_wp*(a(ia+i)+a(ib+i))-a(ic+i))) - & |
---|
1818 | & (sin72*b(ia+i)-sin36*b(ib+i)) |
---|
1819 | i = i + inc3 |
---|
1820 | j = j + inc4 |
---|
1821 | END DO |
---|
1822 | ibase = ibase + inc1 |
---|
1823 | jbase = jbase + inc2 |
---|
1824 | END DO |
---|
1825 | |
---|
1826 | GO TO 170 |
---|
1827 | 120 CONTINUE |
---|
1828 | qqrt5 = 2.0_wp*qrt5 |
---|
1829 | ssin36 = 2.0_wp*sin36 |
---|
1830 | ssin72 = 2.0_wp*sin72 |
---|
1831 | DO l = 1, la |
---|
1832 | i = ibase |
---|
1833 | j = jbase |
---|
1834 | !DIR$ IVDEP |
---|
1835 | !CDIR NODEP |
---|
1836 | !OCL NOVREC |
---|
1837 | DO ijk = 1, lot |
---|
1838 | c(ja+j) = 2.0_wp*(a(ia+i)+(a(ib+i)+a(ic+i))) |
---|
1839 | c(jb+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+ & |
---|
1840 | & i))) - (ssin72*b(ib+i)+ssin36*b(ic+i)) |
---|
1841 | c(jc+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+ & |
---|
1842 | & i))) - (ssin36*b(ib+i)-ssin72*b(ic+i)) |
---|
1843 | c(jd+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))-qqrt5*(a(ib+i)-a(ic+ & |
---|
1844 | & i))) + (ssin36*b(ib+i)-ssin72*b(ic+i)) |
---|
1845 | c(je+j) = (2.0_wp*(a(ia+i)-0.25_wp*(a(ib+i)+a(ic+i)))+qqrt5*(a(ib+i)-a(ic+ & |
---|
1846 | & i))) + (ssin72*b(ib+i)+ssin36*b(ic+i)) |
---|
1847 | i = i + inc3 |
---|
1848 | j = j + inc4 |
---|
1849 | END DO |
---|
1850 | ibase = ibase + inc1 |
---|
1851 | jbase = jbase + inc2 |
---|
1852 | END DO |
---|
1853 | GO TO 170 |
---|
1854 | |
---|
1855 | ! Coding for factor 6 |
---|
1856 | |
---|
1857 | 130 CONTINUE |
---|
1858 | ia = 1 |
---|
1859 | ib = ia + (2*m-la)*inc1 |
---|
1860 | ic = ib + 2*m*inc1 |
---|
1861 | id = ic + 2*m*inc1 |
---|
1862 | ie = ic |
---|
1863 | if = ib |
---|
1864 | ja = 1 |
---|
1865 | jb = ja + jink |
---|
1866 | jc = jb + jink |
---|
1867 | jd = jc + jink |
---|
1868 | je = jd + jink |
---|
1869 | jf = je + jink |
---|
1870 | |
---|
1871 | IF (la==m) GO TO 150 |
---|
1872 | |
---|
1873 | DO l = 1, la |
---|
1874 | i = ibase |
---|
1875 | j = jbase |
---|
1876 | !DIR$ IVDEP |
---|
1877 | !CDIR NODEP |
---|
1878 | !OCL NOVREC |
---|
1879 | DO ijk = 1, lot |
---|
1880 | c(ja+j) = (a(ia+i)+a(id+i)) + (a(ib+i)+a(ic+i)) |
---|
1881 | c(jd+j) = (a(ia+i)-a(id+i)) - (a(ib+i)-a(ic+i)) |
---|
1882 | c(jb+j) = ((a(ia+i)-a(id+i))+0.5_wp*(a(ib+i)-a(ic+i))) - (sin60*(b(ib+ & |
---|
1883 | & i)+b(ic+i))) |
---|
1884 | c(jf+j) = ((a(ia+i)-a(id+i))+0.5_wp*(a(ib+i)-a(ic+i))) + (sin60*(b(ib+ & |
---|
1885 | & i)+b(ic+i))) |
---|
1886 | c(jc+j) = ((a(ia+i)+a(id+i))-0.5_wp*(a(ib+i)+a(ic+i))) - (sin60*(b(ib+ & |
---|
1887 | & i)-b(ic+i))) |
---|
1888 | c(je+j) = ((a(ia+i)+a(id+i))-0.5_wp*(a(ib+i)+a(ic+i))) + (sin60*(b(ib+ & |
---|
1889 | & i)-b(ic+i))) |
---|
1890 | i = i + inc3 |
---|
1891 | j = j + inc4 |
---|
1892 | END DO |
---|
1893 | ibase = ibase + inc1 |
---|
1894 | jbase = jbase + inc2 |
---|
1895 | END DO |
---|
1896 | ia = ia + iink |
---|
1897 | iink = 2*iink |
---|
1898 | ib = ib + iink |
---|
1899 | ic = ic + iink |
---|
1900 | id = id - iink |
---|
1901 | ie = ie - iink |
---|
1902 | if = if - iink |
---|
1903 | jbase = jbase + jump |
---|
1904 | jump = 2*jump + jink |
---|
1905 | IF (ic==id) GO TO 140 |
---|
1906 | DO k = la, kstop, la |
---|
1907 | kb = k + k |
---|
1908 | kc = kb + kb |
---|
1909 | kd = kc + kb |
---|
1910 | ke = kd + kb |
---|
1911 | kf = ke + kb |
---|
1912 | c1 = trigs(kb+1) |
---|
1913 | s1 = trigs(kb+2) |
---|
1914 | c2 = trigs(kc+1) |
---|
1915 | s2 = trigs(kc+2) |
---|
1916 | c3 = trigs(kd+1) |
---|
1917 | s3 = trigs(kd+2) |
---|
1918 | c4 = trigs(ke+1) |
---|
1919 | s4 = trigs(ke+2) |
---|
1920 | c5 = trigs(kf+1) |
---|
1921 | s5 = trigs(kf+2) |
---|
1922 | ibase = 0 |
---|
1923 | DO l = 1, la |
---|
1924 | i = ibase |
---|
1925 | j = jbase |
---|
1926 | !DIR$ IVDEP |
---|
1927 | !CDIR NODEP |
---|
1928 | !OCL NOVREC |
---|
1929 | DO ijk = 1, lot |
---|
1930 | |
---|
1931 | a11(ijk) = (a(ie+i)+a(ib+i)) + (a(ic+i)+a(if+i)) |
---|
1932 | a20(ijk) = (a(ia+i)+a(id+i)) - 0.5_wp*a11(ijk) |
---|
1933 | a21(ijk) = sin60*((a(ie+i)+a(ib+i))-(a(ic+i)+a(if+i))) |
---|
1934 | b11(ijk) = (b(ib+i)-b(ie+i)) + (b(ic+i)-b(if+i)) |
---|
1935 | b20(ijk) = (b(ia+i)-b(id+i)) - 0.5_wp*b11(ijk) |
---|
1936 | b21(ijk) = sin60*((b(ib+i)-b(ie+i))-(b(ic+i)-b(if+i))) |
---|
1937 | |
---|
1938 | c(ja+j) = (a(ia+i)+a(id+i)) + a11(ijk) |
---|
1939 | d(ja+j) = (b(ia+i)-b(id+i)) + b11(ijk) |
---|
1940 | c(jc+j) = c2*(a20(ijk)-b21(ijk)) - s2*(b20(ijk)+a21(ijk)) |
---|
1941 | d(jc+j) = s2*(a20(ijk)-b21(ijk)) + c2*(b20(ijk)+a21(ijk)) |
---|
1942 | c(je+j) = c4*(a20(ijk)+b21(ijk)) - s4*(b20(ijk)-a21(ijk)) |
---|
1943 | d(je+j) = s4*(a20(ijk)+b21(ijk)) + c4*(b20(ijk)-a21(ijk)) |
---|
1944 | |
---|
1945 | a11(ijk) = (a(ie+i)-a(ib+i)) + (a(ic+i)-a(if+i)) |
---|
1946 | b11(ijk) = (b(ie+i)+b(ib+i)) - (b(ic+i)+b(if+i)) |
---|
1947 | a20(ijk) = (a(ia+i)-a(id+i)) - 0.5_wp*a11(ijk) |
---|
1948 | a21(ijk) = sin60*((a(ie+i)-a(ib+i))-(a(ic+i)-a(if+i))) |
---|
1949 | b20(ijk) = (b(ia+i)+b(id+i)) + 0.5_wp*b11(ijk) |
---|
1950 | b21(ijk) = sin60*((b(ie+i)+b(ib+i))+(b(ic+i)+b(if+i))) |
---|
1951 | |
---|
1952 | c(jd+j) = c3*((a(ia+i)-a(id+i))+a11(ijk)) - s3*((b(ia+i)+b(id+ & |
---|
1953 | & i))-b11(ijk)) |
---|
1954 | d(jd+j) = s3*((a(ia+i)-a(id+i))+a11(ijk)) + c3*((b(ia+i)+b(id+ & |
---|
1955 | & i))-b11(ijk)) |
---|
1956 | c(jb+j) = c1*(a20(ijk)-b21(ijk)) - s1*(b20(ijk)-a21(ijk)) |
---|
1957 | d(jb+j) = s1*(a20(ijk)-b21(ijk)) + c1*(b20(ijk)-a21(ijk)) |
---|
1958 | c(jf+j) = c5*(a20(ijk)+b21(ijk)) - s5*(b20(ijk)+a21(ijk)) |
---|
1959 | d(jf+j) = s5*(a20(ijk)+b21(ijk)) + c5*(b20(ijk)+a21(ijk)) |
---|
1960 | |
---|
1961 | i = i + inc3 |
---|
1962 | j = j + inc4 |
---|
1963 | END DO |
---|
1964 | ibase = ibase + inc1 |
---|
1965 | jbase = jbase + inc2 |
---|
1966 | END DO |
---|
1967 | ia = ia + iink |
---|
1968 | ib = ib + iink |
---|
1969 | ic = ic + iink |
---|
1970 | id = id - iink |
---|
1971 | ie = ie - iink |
---|
1972 | if = if - iink |
---|
1973 | jbase = jbase + jump |
---|
1974 | END DO |
---|
1975 | IF (ic>id) GO TO 170 |
---|
1976 | 140 CONTINUE |
---|
1977 | ibase = 0 |
---|
1978 | DO l = 1, la |
---|
1979 | i = ibase |
---|
1980 | j = jbase |
---|
1981 | !DIR$ IVDEP |
---|
1982 | !CDIR NODEP |
---|
1983 | !OCL NOVREC |
---|
1984 | DO ijk = 1, lot |
---|
1985 | c(ja+j) = a(ib+i) + (a(ia+i)+a(ic+i)) |
---|
1986 | c(jd+j) = b(ib+i) - (b(ia+i)+b(ic+i)) |
---|
1987 | c(jb+j) = (sin60*(a(ia+i)-a(ic+i))) - (0.5_wp*(b(ia+i)+b(ic+i))+b(ib+i)) |
---|
1988 | c(jf+j) = -(sin60*(a(ia+i)-a(ic+i))) - (0.5_wp*(b(ia+i)+b(ic+i))+b(ib+i)) |
---|
1989 | c(jc+j) = sin60*(b(ic+i)-b(ia+i)) + (0.5_wp*(a(ia+i)+a(ic+i))-a(ib+i)) |
---|
1990 | c(je+j) = sin60*(b(ic+i)-b(ia+i)) - (0.5_wp*(a(ia+i)+a(ic+i))-a(ib+i)) |
---|
1991 | i = i + inc3 |
---|
1992 | j = j + inc4 |
---|
1993 | END DO |
---|
1994 | ibase = ibase + inc1 |
---|
1995 | jbase = jbase + inc2 |
---|
1996 | END DO |
---|
1997 | |
---|
1998 | GO TO 170 |
---|
1999 | 150 CONTINUE |
---|
2000 | ssin60 = 2.0_wp*sin60 |
---|
2001 | DO l = 1, la |
---|
2002 | i = ibase |
---|
2003 | j = jbase |
---|
2004 | !DIR$ IVDEP |
---|
2005 | !CDIR NODEP |
---|
2006 | !OCL NOVREC |
---|
2007 | DO ijk = 1, lot |
---|
2008 | c(ja+j) = (2.0_wp*(a(ia+i)+a(id+i))) + (2.0_wp*(a(ib+i)+a(ic+i))) |
---|
2009 | c(jd+j) = (2.0_wp*(a(ia+i)-a(id+i))) - (2.0_wp*(a(ib+i)-a(ic+i))) |
---|
2010 | c(jb+j) = (2.0_wp*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) - (ssin60*(b(ib+ & |
---|
2011 | & i)+b(ic+i))) |
---|
2012 | c(jf+j) = (2.0_wp*(a(ia+i)-a(id+i))+(a(ib+i)-a(ic+i))) + (ssin60*(b(ib+ & |
---|
2013 | & i)+b(ic+i))) |
---|
2014 | c(jc+j) = (2.0_wp*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) - (ssin60*(b(ib+ & |
---|
2015 | & i)-b(ic+i))) |
---|
2016 | c(je+j) = (2.0_wp*(a(ia+i)+a(id+i))-(a(ib+i)+a(ic+i))) + (ssin60*(b(ib+ & |
---|
2017 | & i)-b(ic+i))) |
---|
2018 | i = i + inc3 |
---|
2019 | j = j + inc4 |
---|
2020 | END DO |
---|
2021 | ibase = ibase + inc1 |
---|
2022 | jbase = jbase + inc2 |
---|
2023 | END DO |
---|
2024 | GO TO 170 |
---|
2025 | |
---|
2026 | ! Coding for factor 8 |
---|
2027 | |
---|
2028 | 160 CONTINUE |
---|
2029 | ibad = 3 |
---|
2030 | IF (la/=m) GO TO 180 |
---|
2031 | ia = 1 |
---|
2032 | ib = ia + la*inc1 |
---|
2033 | ic = ib + 2*la*inc1 |
---|
2034 | id = ic + 2*la*inc1 |
---|
2035 | ie = id + 2*la*inc1 |
---|
2036 | ja = 1 |
---|
2037 | jb = ja + jink |
---|
2038 | jc = jb + jink |
---|
2039 | jd = jc + jink |
---|
2040 | je = jd + jink |
---|
2041 | jf = je + jink |
---|
2042 | jg = jf + jink |
---|
2043 | jh = jg + jink |
---|
2044 | ssin45 = SQRT(2.0_wp) |
---|
2045 | |
---|
2046 | DO l = 1, la |
---|
2047 | i = ibase |
---|
2048 | j = jbase |
---|
2049 | !DIR$ IVDEP |
---|
2050 | !CDIR NODEP |
---|
2051 | !OCL NOVREC |
---|
2052 | DO ijk = 1, lot |
---|
2053 | c(ja+j) = 2.0_wp*(((a(ia+i)+a(ie+i))+a(ic+i))+(a(ib+i)+a(id+i))) |
---|
2054 | c(je+j) = 2.0_wp*(((a(ia+i)+a(ie+i))+a(ic+i))-(a(ib+i)+a(id+i))) |
---|
2055 | c(jc+j) = 2.0_wp*(((a(ia+i)+a(ie+i))-a(ic+i))-(b(ib+i)-b(id+i))) |
---|
2056 | c(jg+j) = 2.0_wp*(((a(ia+i)+a(ie+i))-a(ic+i))+(b(ib+i)-b(id+i))) |
---|
2057 | c(jb+j) = 2.0_wp*((a(ia+i)-a(ie+i))-b(ic+i)) + ssin45*((a(ib+i)-a(id+ & |
---|
2058 | & i))-(b(ib+i)+b(id+i))) |
---|
2059 | c(jf+j) = 2.0_wp*((a(ia+i)-a(ie+i))-b(ic+i)) - ssin45*((a(ib+i)-a(id+ & |
---|
2060 | & i))-(b(ib+i)+b(id+i))) |
---|
2061 | c(jd+j) = 2.0_wp*((a(ia+i)-a(ie+i))+b(ic+i)) - ssin45*((a(ib+i)-a(id+ & |
---|
2062 | & i))+(b(ib+i)+b(id+i))) |
---|
2063 | c(jh+j) = 2.0_wp*((a(ia+i)-a(ie+i))+b(ic+i)) + ssin45*((a(ib+i)-a(id+ & |
---|
2064 | & i))+(b(ib+i)+b(id+i))) |
---|
2065 | i = i + inc3 |
---|
2066 | j = j + inc4 |
---|
2067 | END DO |
---|
2068 | ibase = ibase + inc1 |
---|
2069 | jbase = jbase + inc2 |
---|
2070 | END DO |
---|
2071 | |
---|
2072 | ! Return |
---|
2073 | |
---|
2074 | 170 CONTINUE |
---|
2075 | ibad = 0 |
---|
2076 | 180 CONTINUE |
---|
2077 | ierr = ibad |
---|
2078 | RETURN |
---|
2079 | END SUBROUTINE rpassm |
---|
2080 | |
---|
2081 | !------------------------------------------------------------------------------! |
---|
2082 | ! Description: |
---|
2083 | ! ------------ |
---|
2084 | !> Computes factors of n & trigonometric functins required by fft99 & fft991cy |
---|
2085 | !> Method: Dimension trigs(n),ifax(1),jfax(10),lfax(7) |
---|
2086 | !> subroutine 'set99' - computes factors of n & trigonometric |
---|
2087 | !> functins required by fft99 & fft991cy |
---|
2088 | !------------------------------------------------------------------------------! |
---|
2089 | SUBROUTINE set99(trigs,ifax,n) |
---|
2090 | |
---|
2091 | |
---|
2092 | USE control_parameters, & |
---|
2093 | ONLY: message_string |
---|
2094 | |
---|
2095 | USE kinds |
---|
2096 | |
---|
2097 | IMPLICIT NONE |
---|
2098 | |
---|
2099 | ! Scalar arguments |
---|
2100 | INTEGER(iwp) :: n !< |
---|
2101 | |
---|
2102 | ! Array arguments |
---|
2103 | INTEGER(iwp) :: ifax(*) !< |
---|
2104 | REAL(wp) :: trigs(*) !< |
---|
2105 | |
---|
2106 | |
---|
2107 | ! Local scalars: |
---|
2108 | REAL(wp) :: angle !< |
---|
2109 | REAL(wp) :: del !< |
---|
2110 | INTEGER(iwp) :: i !< |
---|
2111 | INTEGER(iwp) :: ifac !< |
---|
2112 | INTEGER(iwp) :: ixxx !< |
---|
2113 | INTEGER(iwp) :: k !< |
---|
2114 | INTEGER(iwp) :: l !< |
---|
2115 | INTEGER(iwp) :: nfax !< |
---|
2116 | INTEGER(iwp) :: nhl !< |
---|
2117 | INTEGER(iwp) :: nil !< |
---|
2118 | INTEGER(iwp) :: nu !< |
---|
2119 | |
---|
2120 | ! Local arrays: |
---|
2121 | INTEGER(iwp) :: jfax(10) !< |
---|
2122 | INTEGER(iwp) :: lfax(7) !< |
---|
2123 | |
---|
2124 | ! Intrinsic functions |
---|
2125 | ! INTRINSIC ASIN, COS, MOD, REAL, SIN |
---|
2126 | |
---|
2127 | ! Data statements |
---|
2128 | DATA lfax/6, 8, 5, 4, 3, 2, 1/ |
---|
2129 | |
---|
2130 | |
---|
2131 | ! Executable statements |
---|
2132 | ixxx = 1 |
---|
2133 | |
---|
2134 | del = 4.0_wp*ASIN(1.0_wp)/REAL(n,KIND=wp) |
---|
2135 | nil = 0 |
---|
2136 | nhl = (n/2) - 1 |
---|
2137 | DO k = nil, nhl |
---|
2138 | angle = REAL(k,KIND=wp)*del |
---|
2139 | trigs(2*k+1) = COS(angle) |
---|
2140 | trigs(2*k+2) = SIN(angle) |
---|
2141 | END DO |
---|
2142 | |
---|
2143 | ! Find factors of n (8,6,5,4,3,2; only one 8 allowed) |
---|
2144 | ! Look for sixes first, store factors in descending order |
---|
2145 | nu = n |
---|
2146 | ifac = 6 |
---|
2147 | k = 0 |
---|
2148 | l = 1 |
---|
2149 | 10 CONTINUE |
---|
2150 | IF (MOD(nu,ifac)/=0) GO TO 30 |
---|
2151 | k = k + 1 |
---|
2152 | jfax(k) = ifac |
---|
2153 | IF (ifac/=8) GO TO 20 |
---|
2154 | IF (k==1) GO TO 20 |
---|
2155 | jfax(1) = 8 |
---|
2156 | jfax(k) = 6 |
---|
2157 | 20 CONTINUE |
---|
2158 | nu = nu/ifac |
---|
2159 | IF (nu==1) GO TO 40 |
---|
2160 | IF (ifac/=8) GO TO 10 |
---|
2161 | 30 CONTINUE |
---|
2162 | l = l + 1 |
---|
2163 | ifac = lfax(l) |
---|
2164 | IF (ifac>1) GO TO 10 |
---|
2165 | |
---|
2166 | ! WRITE (nout,'(A,I4,A)') ' n =',n,' - Contains illegal factors' |
---|
2167 | message_string = 'number of gridpoints along x or/and y ' // & |
---|
2168 | 'contain illegal factors' // & |
---|
2169 | '&only factors 8,6,5,4,3,2 are allowed' |
---|
2170 | CALL message( 'temperton_fft', 'PA0311', 1, 2, 0, 6, 0 ) |
---|
2171 | |
---|
2172 | RETURN |
---|
2173 | |
---|
2174 | ! Now reverse order of factors |
---|
2175 | 40 CONTINUE |
---|
2176 | nfax = k |
---|
2177 | ifax(1) = nfax |
---|
2178 | DO i = 1, nfax |
---|
2179 | ifax(nfax+2-i) = jfax(i) |
---|
2180 | END DO |
---|
2181 | ifax(10) = n |
---|
2182 | RETURN |
---|
2183 | END SUBROUTINE set99 |
---|
2184 | |
---|
2185 | END MODULE temperton_fft |
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