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$%COT

Draft MDC Standard

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2 MATH Library
2.23 COT

COT(X,PREC) ;
	New C,L,LIM,K,SIGN,VALUE
	; The official description does not mention that
	; the function may also be called with the first
	; parameter in degrees, minutes and seconds.
	Set:X[":" X=$%DMSDEC^MATH(X)
	;
	Set PREC=$Get(PREC,11)
	Set (VALUE,L)=1,SIGN=–1
	Set LIM=$Select((PREC+3)'>11:PREC+3,1:11),@("LIM=1E-"_LIM)
	For K=2:2 Do  Quit:($Translate(L,"-")<LIM)  Set SIGN=SIGN*–1
	. Set L=L*X*X/(K–1*K),VALUE=VALUE+(SIGN*L)
	. Quit
	Set C=VALUE
	Set X=X#(2*$%PI^MATH())
	Set (VALUE,L)=X,SIGN=–1
	Set LIM=$Select((PREC+3)'>11:PREC+3,1:11),@("LIM=1E-"_LIM)
	For K=3:2 Do  Quit:($Translate(L,"-")<LIM)  Set SIGN=SIGN*–1
	. Set L=L/(K–1)*X/K*X,VALUE=VALUE+(SIGN*L)
	. Quit
	If 'VALUE Quit "INFINITE"
	Quit VALUE=C/VALUE
Button for 1977 Button for 1984 Button for 1990 Button for 1995 Button for MDC Button for notes Button for examples

Copyright © Standard Documents; 1977-2024 MUMPS Development Committee;
Copyright © Examples: 1995-2024 Ed de Moel;
Copyright © Annotations: 2003-2008 Jacquard Systems Research
Copyright © Annotations: 2008-2024 Ed de Moel.

Some specifications are "approved for inclusion in a future standard". Note that the MUMPS Development Committee cannot guarantee that such future standards will indeed be published.

This page most recently updated on 16-Nov-2023, 16:49:22.

For comments, contact Ed de Moel (demoel@jacquardsystems.com)