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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/input/elemnum.input.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/input/elemnum.input.pamphlet')
-rw-r--r-- | src/input/elemnum.input.pamphlet | 122 |
1 files changed, 122 insertions, 0 deletions
diff --git a/src/input/elemnum.input.pamphlet b/src/input/elemnum.input.pamphlet new file mode 100644 index 00000000..4763ebe9 --- /dev/null +++ b/src/input/elemnum.input.pamphlet @@ -0,0 +1,122 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input elemnum.input} +\author{The Axiom Team} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\section{License} +<<license>>= +--Copyright The Numerical Algorithms Group Limited 1991. +@ +<<*>>= +<<license>> + +-- +-- Test numeric evaluation of elementary functions. SMW June 26, 1991. +)clear all +)set break resume +x := 0.7::Float +[exp log x] +[log exp x] +[sin asin x, cos acos x, tan atan x, cot acot x] +[asin sin x, acos cos x, atan tan x, acot cot x, acsc csc x, asec sec x ] +[sinh asinh x, tanh atanh x, csch acsch x,sech asech x] +[asinh sinh x,acosh cosh x,atanh tanh x,acoth coth x,acsch csch x,asech sech x] +--Should give errors: +--acsc x +--asec x +--acosh x +--acoth x + +x := 1.1::Float +[exp log x] +[log exp x] +[ tan atan x, cot acot x, csc acsc x, sec asec x ] +[asin sin x, acos cos x, atan tan x, acot cot x, acsc csc x, asec sec x ] +[sinh asinh x,cosh acosh x, coth acoth x,csch acsch x ] +[asinh sinh x,acosh cosh x,atanh tanh x,acoth coth x,acsch csch x,asech sech x] +--Should give errors: +--asin x +--acos x +--atanh x +--asech x + +x := 0.7::DoubleFloat +[exp log x] +[log exp x] +[sin asin x, cos acos x, tan atan x, cot acot x] +[asin sin x, acos cos x, atan tan x, acot cot x, acsc csc x, asec sec x ] +[sinh asinh x, tanh atanh x, csch acsch x,sech asech x] +[asinh sinh x,acosh cosh x,atanh tanh x,acoth coth x,acsch csch x,asech sech x] +--Should give errors: +--acsc x +--asec x +--acosh x +--acoth x + +x := 1.1::DoubleFloat +[exp log x] +[log exp x] +[ tan atan x, cot acot x, csc acsc x, sec asec x ] +[asin sin x, acos cos x, atan tan x, acot cot x, acsc csc x, asec sec x ] +[sinh asinh x,cosh acosh x, coth acoth x,csch acsch x ] +[asinh sinh x,acosh cosh x,atanh tanh x,acoth coth x,acsch csch x,asech sech x] +--Should give errors: +--asin x +--acos x +--atanh x +--asech x + +qtest(a,b,n) == + m1 := if n = 1 or n = 4 then 0 else 1 + s1 := if n = 1 or n = 4 then 1 else -1 + s2 := if n = 1 or n = 2 then 1 else -1 + x := complex(s1*a, s2*b) + [x- exp log x, _ + x- sin asin x, x- cos acos x, x- tan atan x , _ + x- csc acsc x, x- sec asec x, x- cot acot x , _ + x- sinh asinh x, x- cosh acosh x, x- tanh atanh x , _ + x- csch acsch x, x- sech asech x, x- coth acoth x , _ + x- log exp x, _ + x- asin sin x, x- s1*acos cos x, x- atan tan x , _ + x- acsc csc x, x- s1*asec sec x, x- acot cot x + m1*%pi, _ + x- asinh sinh x, x- s1*acosh cosh x, x- atanh tanh x , _ + x- acsch csch x, x- s1*asech sech x, x- acoth coth x ] + +qerr(l) == + reduce(+, [norm v for v in l])/#l +sa := 0.7::DoubleFloat +sb := 1.1::DoubleFloat +ba := 0.7::Float +bb := 1.1::Float + +qtest(sa, sb, 1) +qerr % +qtest(ba, bb, 1) +qerr % + +qtest(sa, sb, 2) +qerr % +qtest(ba, bb, 2) +qerr % + +qtest(sa, sb, 3) +qerr % +qtest(ba, bb, 3) +qerr % + +qtest(sa, sb, 4) +qerr % +qtest(ba, bb, 4) +qerr % +@ +\eject +\begin{thebibliography}{99} +\bibitem{1} nothing +\end{thebibliography} +\end{document} |