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Diffstat (limited to 'src/input/nsfip.input.pamphlet')
-rw-r--r-- | src/input/nsfip.input.pamphlet | 701 |
1 files changed, 701 insertions, 0 deletions
diff --git a/src/input/nsfip.input.pamphlet b/src/input/nsfip.input.pamphlet new file mode 100644 index 00000000..87c68a44 --- /dev/null +++ b/src/input/nsfip.input.pamphlet @@ -0,0 +1,701 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input nsfip.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1994. +@ +<<*>>= +<<license>> + +-- Note that the conversions of Results from DoubleFloat to Float +-- will become unnecessary if outputGeneral is extended to apply to +-- DoubleFloat quantities. + + +outputGeneral 4 + +-- DF here means DoubleFloat. +-- Results converted to Float as outputGeneral not working on DF. + +-- nagExpInt : DF -> DF ; + +nagExpInt(2) :: Float + +-- 0.0489 + +nagExpInt(-1) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S13AAF: IFAIL = 1 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S13AAF. The error number (IFAIL value) is 1, please consult the +-- NAG manual via the Browser for diagnostic information. + +-- nagSinInt : DF -> DF ; + +nagSinInt(0) :: Float + +-- 0.0 + +nagSinInt(0.2) :: Float + +-- 0.1996 + +nagSinInt(0.4) :: Float + +-- 0.3965 + +nagSinInt(0.6) :: Float + +-- 0.5881 + +nagSinInt(0.8) :: Float + +-- 0.7721 + +nagSinInt(1) :: Float + +-- 0.9461 + +-- nagCosInt : DF -> DF ; + +nagCosInt(0.2) :: Float + +-- - 1.042 + +nagCosInt(0.4) :: Float + +-- - 0.3788 + +nagCosInt(0.6) :: Float + +-- - 0.02227 + +nagCosInt(0.8) :: Float + +-- 0.1983 + +nagCosInt(1) :: Float + +-- 0.3374 + +-- nagIncompleteGammaP : (DF, DF) -> DF ; (to machine precision) + +nagIncompleteGammaP(2,3) :: Float + +-- 0.8009 + +nagIncompleteGammaP(7,1) :: Float + +-- 0.00008324 + +nagIncompleteGammaP(0.5,99) :: Float + +-- 1.0 + +nagIncompleteGammaP(20,21) :: Float + +-- 0.6157 + +nagIncompleteGammaP(21,20) :: Float + +-- 0.4409 + +-- nagIncompleteGammaP : (DF, DF, DF) -> DF ; (to specified precision) + +nagIncompleteGammaP(7,1,0.1) :: Float + +-- 0.00008313 + +-- nagIncompleteGammaQ : (DF, DF) -> DF ; (to machine precision) + +nagIncompleteGammaQ(2,3) :: Float + +-- 0.1991 + +nagIncompleteGammaQ(7,1) :: Float + +-- 0.9999 + +nagIncompleteGammaQ(0.5,99) :: Float + +-- 0.5705 E -44 + +nagIncompleteGammaQ(20,21) :: Float + +-- 0.3843 + +nagIncompleteGammaQ(21,20) :: Float + +-- 0.5591 + +nagIncompleteGammaQ(25,14) :: Float + +-- 0.995 + +-- nagIncompleteGammaQ : (DF, DF, DF) -> DF ; (to specified precision) + +nagIncompleteGammaQ(25,14,0.1) :: Float + +-- 0.9953 + +-- nagErf : DF -> DF ; + +nagErf(-6) :: Float + +-- - 1.0 + +nagErf(-4.5) :: Float + +-- - 1.0 + +nagErf(-1) :: Float + +-- - 0.8427 + +nagErf(1) :: Float + +-- 0.8427 + +nagErf(4.5) :: Float + +-- 1.0 + +nagErf(6) :: Float + +-- 1.0 + +-- nagErfC : DF -> DF ; + +nagErfC(-10) :: Float + +-- 2.0 + +nagErfC(-1) :: Float + +-- 1.843 + +nagErfC(0) :: Float + +-- 1.0 + +nagErfC(1) :: Float + +-- 0.1573 + +nagErfC(15) :: Float + +-- 0.7213 E -99 + +-- nagDAiryAi : DF -> DF ; + +nagDAiryAi(-10) :: Float + +-- 0.9963 + +nagDAiryAi(-1) :: Float + +-- - 0.01016 + +nagDAiryAi(0) :: Float + +-- - 0.2588 + +nagDAiryAi(1) :: Float + +-- - 0.1591 + +nagDAiryAi(5) :: Float + +-- - 0.0002474 + +nagDAiryAi(10) :: Float + +-- - 0.3521 E -9 + +nagDAiryAi(20) :: Float + +-- - 0.7586 E -26 + +-- nagDAiryAi : CDF -> CDF ; + +nagDAiryAi(0.3+0.4*%i) :: Complex Float + +-- - 0.2612 + 0.03848 %i + +-- nagDAiryBi : DF -> DF ; + +nagDAiryBi(-10) :: Float + +-- 0.1194 + +nagDAiryBi(-1) :: Float + +-- 0.5924 + +nagDAiryBi(0) :: Float + +-- 0.4483 + +nagDAiryBi(1) :: Float + +-- 0.9324 + +nagDAiryBi(5) :: Float + +-- 1436.0 + +nagDAiryBi(10) :: Float + +-- 0.1429 E 10 + +nagDAiryBi(20) :: Float + +-- 0.9382 E 26 + +-- nagDAiryBi : CDF -> CDF ; + +nagDAiryBi(0.3+0.4*%i) :: Complex Float + +-- 0.4093 + 0.07966 %i + +-- nagScaledDAiryAi : CDF -> CDF ; + +nagScaledDAiryAi(0.3+0.4*%i) :: Complex Float + +-- - 0.2744 - 0.02356 %i + +-- nagScaledDAiryBi : CDF -> CDF ; + +nagScaledDAiryBi(0.3+0.4*%i) :: Complex Float + +-- 0.3924 + 0.07638 %i + +-- nagHankelH1 : (DF, CDF, Int) -> List CDF ; + +nagHankelH1(0,0.3+0.4*%i,2) :: Matrix Complex Float + +-- [0.3466 - 0.5588 %i - 0.7912 - 0.8178 %i] + +nagHankelH1(2.3,2,2) :: Matrix Complex Float + +-- [0.2721 - 0.7398 %i 0.08902 - 1.412 %i] + +nagHankelH1(2.12,-1,2) :: Matrix Complex Float + +-- [- 0.7722 - 1.693 %i 2.601 + 6.527 %i] + +-- nagHankelH2 : (DF, CDF, Int) -> List CDF ; + +nagHankelH2(6,3.1-1.6*%i,2) :: Matrix Complex Float + +-- [- 1.371 - 1.28 %i - 1.491 - 5.993 %i] + +-- nagScaledHankelH1 : (DF, CDF, Int) -> List CDF ; + +nagScaledHankelH1(0,0.3+0.4*%i,2) :: Matrix Complex Float + +-- [0.2477 - 0.9492 %i - 1.488 - 0.8166 %i] + +-- nagScaledHankelH2 : (DF, CDF, Int) -> List CDF ; + +nagScaledHankelH2(6,3.1-1.6*%i,2) :: Matrix Complex Float + +-- [7.05 + 6.052 %i 8.614 + 29.35 %i] + +-- nagKelvinBer : DF -> DF ; + +nagKelvinBer(0.1) :: Float + +-- 1.0 + +nagKelvinBer(1) :: Float + +-- 0.9844 + +nagKelvinBer(2.5) :: Float + +-- 0.4 + +nagKelvinBer(5) :: Float + +-- - 6.23 + +nagKelvinBer(10) :: Float + +-- 138.8 + +nagKelvinBer(15) :: Float + +-- - 2967.0 + +nagKelvinBer(60) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19AAF: IFAIL = 1 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19AAF. The error number (IFAIL value) is 1, please consult the +-- NAG manual via the Browser for diagnostic information. + +nagKelvinBer(-1) :: Float + +-- 0.9844 + +-- nagKelvinBei : DF -> DF ; + +nagKelvinBei(0.1) :: Float + +-- 0.0025 + +nagKelvinBei(1) :: Float + +-- 0.2496 + +nagKelvinBei(2.5) :: Float + +-- 1.457 + +nagKelvinBei(5) :: Float + +-- 0.116 + +nagKelvinBei(10) :: Float + +-- 56.37 + +nagKelvinBei(15) :: Float + +-- - 2953.0 + +nagKelvinBei(60) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19ABF: IFAIL = 1 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19ABF. The error number (IFAIL value) is 1, please consult the +-- NAG manual via the Browser for diagnostic information. + +nagKelvinBei(-1) :: Float + +-- 0.2496 + +-- nagKelvinKer : DF -> DF ; + +nagKelvinKer(0) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19ACF: IFAIL = 2 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19ACF. The error number (IFAIL value) is 2, please consult the +-- NAG manual via the Browser for diagnostic information. + +nagKelvinKer(0.1) :: Float + +-- 2.42 + +nagKelvinKer(1) :: Float + +-- 0.2867 + +nagKelvinKer(2.5) :: Float + +-- - 0.06969 + +nagKelvinKer(5) :: Float + +-- - 0.01151 + +nagKelvinKer(10) :: Float + +-- 0.0001295 + +nagKelvinKer(15) :: Float + +-- - 0.1514 E -7 + +nagKelvinKer(1100) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19ACF: IFAIL = 1 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19ACF. The error number (IFAIL value) is 1, please consult the +-- NAG manual via the Browser for diagnostic information. + +nagKelvinKer(-1) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19ACF: IFAIL = 2 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19ACF. The error number (IFAIL value) is 2, please consult the +-- NAG manual via the Browser for diagnostic information. + +-- nagKelvinKei : DF -> DF ; + +nagKelvinKei(0) :: Float + +-- - 0.7854 + +nagKelvinKei(0.1) :: Float + +-- - 0.7769 + +nagKelvinKei(1) :: Float + +-- - 0.495 + +nagKelvinKei(2.5) :: Float + +-- - 0.1107 + +nagKelvinKei(5) :: Float + +-- 0.01119 + +nagKelvinKei(10) :: Float + +-- - 0.0003075 + +nagKelvinKei(15) :: Float + +-- 0.000007963 + +nagKelvinKei(1100) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19ADF: IFAIL = 1 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19ADF. The error number (IFAIL value) is 1, please consult the +-- NAG manual via the Browser for diagnostic information. + +nagKelvinKei(-1) :: Float + +-- ** ABNORMAL EXIT from NAG Library routine S19ADF: IFAIL = 2 +-- ** NAG soft failure - control returned +-- +-- Error signalled from user code: +-- An error was detected when calling the NAG Library routine +-- S19ADF. The error number (IFAIL value) is 2, please consult the +-- NAG manual via the Browser for diagnostic information. + + +-- nagFresnelS : DF -> DF ; + +nagFresnelS(0) :: Float + +-- 0.0 + +nagFresnelS(0.5) :: Float + +-- 0.06473 + +nagFresnelS(1) :: Float + +-- 0.4383 + +nagFresnelS(2) :: Float + +-- 0.3434 + +nagFresnelS(4) :: Float + +-- 0.4205 + +nagFresnelS(5) :: Float + +-- 0.4992 + +nagFresnelS(6) :: Float + +-- 0.447 + +nagFresnelS(8) :: Float + +-- 0.4602 + +nagFresnelS(10) :: Float + +-- 0.4682 + +nagFresnelS(-1) :: Float + +-- - 0.4383 + +nagFresnelS(1000) :: Float + +-- 0.4997 + +-- nagFresnelC : DF -> DF ; + +nagFresnelC(0) :: Float + +-- 0.0 + +nagFresnelC(0.5) :: Float + +-- 0.4923 + +nagFresnelC(1) :: Float + +-- 0.7799 + +nagFresnelC(2) :: Float + +-- 0.4883 + +nagFresnelC(4) :: Float + +-- 0.4984 + +nagFresnelC(5) :: Float + +-- 0.5636 + +nagFresnelC(6) :: Float + +-- 0.4995 + +nagFresnelC(8) :: Float + +-- 0.4998 + +nagFresnelC(10) :: Float + +-- 0.4999 + +nagFresnelC(-1) :: Float + +-- - 0.7799 + +nagFresnelC(1000) :: Float + +-- 0.5 + +-- nagEllipticIntegralRC : (DF, DF) -> DF ; + +nagEllipticIntegralRC(0.5,1) :: Float + +-- 1.111 + +nagEllipticIntegralRC(1,1) :: Float + +-- 1.0 + +nagEllipticIntegralRC(1.5,1) :: Float + +-- 0.9312 + +-- nagEllipticIntegralRD : (DF, DF, DF) -> DF ; + +nagEllipticIntegralRD(0.5,0.5,1) :: Float + +-- 1.479 + +nagEllipticIntegralRD(0.5,1,1) :: Float + +-- 1.211 + +nagEllipticIntegralRD(0.5,1.5,1) :: Float + +-- 1.061 + +nagEllipticIntegralRD(1,1,1) :: Float + +-- 1.0 + +nagEllipticIntegralRD(1,1.5,1) :: Float + +-- 0.8805 + +nagEllipticIntegralRD(1.5,1.5,1) :: Float + +-- 0.7775 + +-- nagEllipticIntegralRF : (DF, DF, DF) -> DF ; + +nagEllipticIntegralRF(0.5,1,1.5) :: Float + +-- 1.028 + +nagEllipticIntegralRF(1,1.5,2) :: Float + +-- 0.826 + +nagEllipticIntegralRF(1.5,2,2.5) :: Float + +-- 0.7116 + +-- nagEllipticIntegralRJ : (DF, DF, DF, DF) -> DF ; + +nagEllipticIntegralRJ(0.5,0.5,0.5,2) :: Float + +-- 1.118 + +nagEllipticIntegralRJ(0.5,0.5,1,2) :: Float + +-- 0.9221 + +nagEllipticIntegralRJ(0.5,0.5,1.5,2) :: Float + +-- 0.8115 + +nagEllipticIntegralRJ(0.5,1,1,2) :: Float + +-- 0.7671 + +nagEllipticIntegralRJ(0.5,1,1.5,2) :: Float + +-- 0.6784 + +nagEllipticIntegralRJ(0.5,1.5,1.5,2) :: Float + +-- 0.6017 + +nagEllipticIntegralRJ(1,1,1,2) :: Float + +-- 0.6438 + +nagEllipticIntegralRJ(1,1,1.5,2) :: Float + +-- 0.5722 + +nagEllipticIntegralRJ(1,1.5,1.5,2) :: Float + +-- 0.5101 + +nagEllipticIntegralRJ(1.5,1.5,1.5,2) :: Float + +-- 0.4561 + +outputGeneral() + +output "End of tests" + +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |