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OpenLibm/slatec/cunik.f
Viral B. Shah c977aa998f Add Makefile.extras to build libopenlibm-extras. 
Replace amos with slatec
2012-12-31 16:37:05 -05:00

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8.5 KiB
Fortran
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*DECK CUNIK
SUBROUTINE CUNIK (ZR, FNU, IKFLG, IPMTR, TOL, INIT, PHI, ZETA1,
+ ZETA2, SUM, CWRK)
C***BEGIN PROLOGUE CUNIK
C***SUBSIDIARY
C***PURPOSE Subsidiary to CBESI and CBESK
C***LIBRARY SLATEC
C***TYPE ALL (CUNIK-A, ZUNIK-A)
C***AUTHOR Amos, D. E., (SNL)
C***DESCRIPTION
C
C CUNIK COMPUTES PARAMETERS FOR THE UNIFORM ASYMPTOTIC
C EXPANSIONS OF THE I AND K FUNCTIONS ON IKFLG= 1 OR 2
C RESPECTIVELY BY
C
C W(FNU,ZR) = PHI*EXP(ZETA)*SUM
C
C WHERE ZETA=-ZETA1 + ZETA2 OR
C ZETA1 - ZETA2
C
C THE FIRST CALL MUST HAVE INIT=0. SUBSEQUENT CALLS WITH THE
C SAME ZR AND FNU WILL RETURN THE I OR K FUNCTION ON IKFLG=
C 1 OR 2 WITH NO CHANGE IN INIT. CWRK IS A COMPLEX WORK
C ARRAY. IPMTR=0 COMPUTES ALL PARAMETERS. IPMTR=1 COMPUTES PHI,
C ZETA1,ZETA2.
C
C***SEE ALSO CBESI, CBESK
C***ROUTINES CALLED R1MACH
C***REVISION HISTORY (YYMMDD)
C 830501 DATE WRITTEN
C 910415 Prologue converted to Version 4.0 format. (BAB)
C***END PROLOGUE CUNIK
COMPLEX CFN, CON, CONE, CRFN, CWRK, CZERO, PHI, S, SR, SUM, T,
* T2, ZETA1, ZETA2, ZN, ZR
REAL AC, C, FNU, RFN, TEST, TOL, TSTR, TSTI, R1MACH
INTEGER I, IKFLG, INIT, IPMTR, J, K, L
DIMENSION C(120), CWRK(16), CON(2)
DATA CZERO, CONE / (0.0E0,0.0E0), (1.0E0,0.0E0) /
DATA CON(1), CON(2) /
1(3.98942280401432678E-01,0.0E0),(1.25331413731550025E+00,0.0E0)/
DATA C(1), C(2), C(3), C(4), C(5), C(6), C(7), C(8), C(9), C(10),
1 C(11), C(12), C(13), C(14), C(15), C(16), C(17), C(18),
2 C(19), C(20), C(21), C(22), C(23), C(24)/
3 1.00000000000000000E+00, -2.08333333333333333E-01,
4 1.25000000000000000E-01, 3.34201388888888889E-01,
5 -4.01041666666666667E-01, 7.03125000000000000E-02,
6 -1.02581259645061728E+00, 1.84646267361111111E+00,
7 -8.91210937500000000E-01, 7.32421875000000000E-02,
8 4.66958442342624743E+00, -1.12070026162229938E+01,
9 8.78912353515625000E+00, -2.36408691406250000E+00,
A 1.12152099609375000E-01, -2.82120725582002449E+01,
B 8.46362176746007346E+01, -9.18182415432400174E+01,
C 4.25349987453884549E+01, -7.36879435947963170E+00,
D 2.27108001708984375E-01, 2.12570130039217123E+02,
E -7.65252468141181642E+02, 1.05999045252799988E+03/
DATA C(25), C(26), C(27), C(28), C(29), C(30), C(31), C(32),
1 C(33), C(34), C(35), C(36), C(37), C(38), C(39), C(40),
2 C(41), C(42), C(43), C(44), C(45), C(46), C(47), C(48)/
3 -6.99579627376132541E+02, 2.18190511744211590E+02,
4 -2.64914304869515555E+01, 5.72501420974731445E-01,
5 -1.91945766231840700E+03, 8.06172218173730938E+03,
6 -1.35865500064341374E+04, 1.16553933368645332E+04,
7 -5.30564697861340311E+03, 1.20090291321635246E+03,
8 -1.08090919788394656E+02, 1.72772750258445740E+00,
9 2.02042913309661486E+04, -9.69805983886375135E+04,
A 1.92547001232531532E+05, -2.03400177280415534E+05,
B 1.22200464983017460E+05, -4.11926549688975513E+04,
C 7.10951430248936372E+03, -4.93915304773088012E+02,
D 6.07404200127348304E+00, -2.42919187900551333E+05,
E 1.31176361466297720E+06, -2.99801591853810675E+06/
DATA C(49), C(50), C(51), C(52), C(53), C(54), C(55), C(56),
1 C(57), C(58), C(59), C(60), C(61), C(62), C(63), C(64),
2 C(65), C(66), C(67), C(68), C(69), C(70), C(71), C(72)/
3 3.76327129765640400E+06, -2.81356322658653411E+06,
4 1.26836527332162478E+06, -3.31645172484563578E+05,
5 4.52187689813627263E+04, -2.49983048181120962E+03,
6 2.43805296995560639E+01, 3.28446985307203782E+06,
7 -1.97068191184322269E+07, 5.09526024926646422E+07,
8 -7.41051482115326577E+07, 6.63445122747290267E+07,
9 -3.75671766607633513E+07, 1.32887671664218183E+07,
A -2.78561812808645469E+06, 3.08186404612662398E+05,
B -1.38860897537170405E+04, 1.10017140269246738E+02,
C -4.93292536645099620E+07, 3.25573074185765749E+08,
D -9.39462359681578403E+08, 1.55359689957058006E+09,
E -1.62108055210833708E+09, 1.10684281682301447E+09/
DATA C(73), C(74), C(75), C(76), C(77), C(78), C(79), C(80),
1 C(81), C(82), C(83), C(84), C(85), C(86), C(87), C(88),
2 C(89), C(90), C(91), C(92), C(93), C(94), C(95), C(96)/
3 -4.95889784275030309E+08, 1.42062907797533095E+08,
4 -2.44740627257387285E+07, 2.24376817792244943E+06,
5 -8.40054336030240853E+04, 5.51335896122020586E+02,
6 8.14789096118312115E+08, -5.86648149205184723E+09,
7 1.86882075092958249E+10, -3.46320433881587779E+10,
8 4.12801855797539740E+10, -3.30265997498007231E+10,
9 1.79542137311556001E+10, -6.56329379261928433E+09,
A 1.55927986487925751E+09, -2.25105661889415278E+08,
B 1.73951075539781645E+07, -5.49842327572288687E+05,
C 3.03809051092238427E+03, -1.46792612476956167E+10,
D 1.14498237732025810E+11, -3.99096175224466498E+11,
E 8.19218669548577329E+11, -1.09837515608122331E+12/
DATA C(97), C(98), C(99), C(100), C(101), C(102), C(103), C(104),
1 C(105), C(106), C(107), C(108), C(109), C(110), C(111),
2 C(112), C(113), C(114), C(115), C(116), C(117), C(118)/
3 1.00815810686538209E+12, -6.45364869245376503E+11,
4 2.87900649906150589E+11, -8.78670721780232657E+10,
5 1.76347306068349694E+10, -2.16716498322379509E+09,
6 1.43157876718888981E+08, -3.87183344257261262E+06,
7 1.82577554742931747E+04, 2.86464035717679043E+11,
8 -2.40629790002850396E+12, 9.10934118523989896E+12,
9 -2.05168994109344374E+13, 3.05651255199353206E+13,
A -3.16670885847851584E+13, 2.33483640445818409E+13,
B -1.23204913055982872E+13, 4.61272578084913197E+12,
C -1.19655288019618160E+12, 2.05914503232410016E+11,
D -2.18229277575292237E+10, 1.24700929351271032E+09/
DATA C(119), C(120)/
1 -2.91883881222208134E+07, 1.18838426256783253E+05/
C***FIRST EXECUTABLE STATEMENT CUNIK
IF (INIT.NE.0) GO TO 40
C-----------------------------------------------------------------------
C INITIALIZE ALL VARIABLES
C-----------------------------------------------------------------------
RFN = 1.0E0/FNU
CRFN = CMPLX(RFN,0.0E0)
C T = ZR*CRFN
C-----------------------------------------------------------------------
C OVERFLOW TEST (ZR/FNU TOO SMALL)
C-----------------------------------------------------------------------
TSTR = REAL(ZR)
TSTI = AIMAG(ZR)
TEST = R1MACH(1)*1.0E+3
AC = FNU*TEST
IF (ABS(TSTR).GT.AC .OR. ABS(TSTI).GT.AC) GO TO 15
AC = 2.0E0*ABS(ALOG(TEST))+FNU
ZETA1 = CMPLX(AC,0.0E0)
ZETA2 = CMPLX(FNU,0.0E0)
PHI=CONE
RETURN
15 CONTINUE
T=ZR*CRFN
S = CONE + T*T
SR = CSQRT(S)
CFN = CMPLX(FNU,0.0E0)
ZN = (CONE+SR)/T
ZETA1 = CFN*CLOG(ZN)
ZETA2 = CFN*SR
T = CONE/SR
SR = T*CRFN
CWRK(16) = CSQRT(SR)
PHI = CWRK(16)*CON(IKFLG)
IF (IPMTR.NE.0) RETURN
T2 = CONE/S
CWRK(1) = CONE
CRFN = CONE
AC = 1.0E0
L = 1
DO 20 K=2,15
S = CZERO
DO 10 J=1,K
L = L + 1
S = S*T2 + CMPLX(C(L),0.0E0)
10 CONTINUE
CRFN = CRFN*SR
CWRK(K) = CRFN*S
AC = AC*RFN
TSTR = REAL(CWRK(K))
TSTI = AIMAG(CWRK(K))
TEST = ABS(TSTR) + ABS(TSTI)
IF (AC.LT.TOL .AND. TEST.LT.TOL) GO TO 30
20 CONTINUE
K = 15
30 CONTINUE
INIT = K
40 CONTINUE
IF (IKFLG.EQ.2) GO TO 60
C-----------------------------------------------------------------------
C COMPUTE SUM FOR THE I FUNCTION
C-----------------------------------------------------------------------
S = CZERO
DO 50 I=1,INIT
S = S + CWRK(I)
50 CONTINUE
SUM = S
PHI = CWRK(16)*CON(1)
RETURN
60 CONTINUE
C-----------------------------------------------------------------------
C COMPUTE SUM FOR THE K FUNCTION
C-----------------------------------------------------------------------
S = CZERO
T = CONE
DO 70 I=1,INIT
S = S + T*CWRK(I)
T = -T
70 CONTINUE
SUM = S
PHI = CWRK(16)*CON(2)
RETURN
END
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