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105 lines
3.6 KiB
Fortran
105 lines
3.6 KiB
Fortran
*DECK RADF4
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SUBROUTINE RADF4 (IDO, L1, CC, CH, WA1, WA2, WA3)
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C***BEGIN PROLOGUE RADF4
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C***SUBSIDIARY
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C***PURPOSE Calculate the fast Fourier transform of subvectors of
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C length four.
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C***LIBRARY SLATEC (FFTPACK)
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C***TYPE SINGLE PRECISION (RADF4-S)
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C***AUTHOR Swarztrauber, P. N., (NCAR)
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C***ROUTINES CALLED (NONE)
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C***REVISION HISTORY (YYMMDD)
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C 790601 DATE WRITTEN
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C 830401 Modified to use SLATEC library source file format.
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C 860115 Modified by Ron Boisvert to adhere to Fortran 77 by
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C (a) changing dummy array size declarations (1) to (*).
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C (b) changing definition of variable HSQT2 by using
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C FORTRAN intrinsic function SQRT instead of a DATA
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C statement.
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C 881128 Modified by Dick Valent to meet prologue standards.
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C 890831 Modified array declarations. (WRB)
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C 891214 Prologue converted to Version 4.0 format. (BAB)
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C 900402 Added TYPE section. (WRB)
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C***END PROLOGUE RADF4
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DIMENSION CC(IDO,L1,4), CH(IDO,4,*), WA1(*), WA2(*), WA3(*)
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C***FIRST EXECUTABLE STATEMENT RADF4
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HSQT2 = .5*SQRT(2.)
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DO 101 K=1,L1
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TR1 = CC(1,K,2)+CC(1,K,4)
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TR2 = CC(1,K,1)+CC(1,K,3)
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CH(1,1,K) = TR1+TR2
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CH(IDO,4,K) = TR2-TR1
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CH(IDO,2,K) = CC(1,K,1)-CC(1,K,3)
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CH(1,3,K) = CC(1,K,4)-CC(1,K,2)
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101 CONTINUE
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IF (IDO-2) 107,105,102
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102 IDP2 = IDO+2
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IF((IDO-1)/2.LT.L1) GO TO 111
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DO 104 K=1,L1
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CDIR$ IVDEP
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DO 103 I=3,IDO,2
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IC = IDP2-I
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CR2 = WA1(I-2)*CC(I-1,K,2)+WA1(I-1)*CC(I,K,2)
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CI2 = WA1(I-2)*CC(I,K,2)-WA1(I-1)*CC(I-1,K,2)
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CR3 = WA2(I-2)*CC(I-1,K,3)+WA2(I-1)*CC(I,K,3)
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CI3 = WA2(I-2)*CC(I,K,3)-WA2(I-1)*CC(I-1,K,3)
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CR4 = WA3(I-2)*CC(I-1,K,4)+WA3(I-1)*CC(I,K,4)
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CI4 = WA3(I-2)*CC(I,K,4)-WA3(I-1)*CC(I-1,K,4)
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TR1 = CR2+CR4
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TR4 = CR4-CR2
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TI1 = CI2+CI4
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TI4 = CI2-CI4
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TI2 = CC(I,K,1)+CI3
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TI3 = CC(I,K,1)-CI3
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TR2 = CC(I-1,K,1)+CR3
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TR3 = CC(I-1,K,1)-CR3
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CH(I-1,1,K) = TR1+TR2
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CH(IC-1,4,K) = TR2-TR1
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CH(I,1,K) = TI1+TI2
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CH(IC,4,K) = TI1-TI2
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CH(I-1,3,K) = TI4+TR3
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CH(IC-1,2,K) = TR3-TI4
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CH(I,3,K) = TR4+TI3
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CH(IC,2,K) = TR4-TI3
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103 CONTINUE
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104 CONTINUE
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GO TO 110
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111 DO 109 I=3,IDO,2
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IC = IDP2-I
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CDIR$ IVDEP
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DO 108 K=1,L1
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CR2 = WA1(I-2)*CC(I-1,K,2)+WA1(I-1)*CC(I,K,2)
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CI2 = WA1(I-2)*CC(I,K,2)-WA1(I-1)*CC(I-1,K,2)
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CR3 = WA2(I-2)*CC(I-1,K,3)+WA2(I-1)*CC(I,K,3)
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CI3 = WA2(I-2)*CC(I,K,3)-WA2(I-1)*CC(I-1,K,3)
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CR4 = WA3(I-2)*CC(I-1,K,4)+WA3(I-1)*CC(I,K,4)
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CI4 = WA3(I-2)*CC(I,K,4)-WA3(I-1)*CC(I-1,K,4)
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TR1 = CR2+CR4
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TR4 = CR4-CR2
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TI1 = CI2+CI4
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TI4 = CI2-CI4
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TI2 = CC(I,K,1)+CI3
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TI3 = CC(I,K,1)-CI3
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TR2 = CC(I-1,K,1)+CR3
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TR3 = CC(I-1,K,1)-CR3
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CH(I-1,1,K) = TR1+TR2
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CH(IC-1,4,K) = TR2-TR1
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CH(I,1,K) = TI1+TI2
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CH(IC,4,K) = TI1-TI2
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CH(I-1,3,K) = TI4+TR3
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CH(IC-1,2,K) = TR3-TI4
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CH(I,3,K) = TR4+TI3
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CH(IC,2,K) = TR4-TI3
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108 CONTINUE
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109 CONTINUE
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110 IF (MOD(IDO,2) .EQ. 1) RETURN
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105 DO 106 K=1,L1
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TI1 = -HSQT2*(CC(IDO,K,2)+CC(IDO,K,4))
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TR1 = HSQT2*(CC(IDO,K,2)-CC(IDO,K,4))
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CH(IDO,1,K) = TR1+CC(IDO,K,1)
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CH(IDO,3,K) = CC(IDO,K,1)-TR1
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CH(1,2,K) = TI1-CC(IDO,K,3)
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CH(1,4,K) = TI1+CC(IDO,K,3)
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106 CONTINUE
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107 RETURN
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END
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