☜ | ## $%COS## M[UMPS] by Example | ☞ |

2-Jul–96, 6:54:35 Routine Save for Trigonometry Library function $%COS^MATH ; ; Unless otherwise noted, the code below ; was approved in document X11/95–12 ; ; If corrections have been applied, ; first the original line appears, ; with three semicolons at the beginning of the line. ; ; Then the source of the correction is acknowledged, ; then the corrected line appears, followed by a ; line containing three semicolons. ; COS(X,PREC) ; New L,LIM,K,SIGN,VALUE ; ;;; Set:X[":" X=$%DMSDEC^MATH(X,12) ; Winfried Gerum (8 June 1995) ; Comment: The official description does not mention than ; 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 X=X#(2*$%PI^MATH()) Set (VALUE,L)=1,SIGN=–1 Set LIM=$Select((PREC+3)'>11:PREC+3,1:11),@("LIM=1E-"_LIM) For K=2:2 Do Quit:($Translate(L,"-")<LIM) Set SIGN=SIGN*–1 . Set L=L*X*X/(K–1*K),VALUE=VALUE+(SIGN*L) . Quit Quit VALUE ;=== ; ; COS(X) ; ; Winfried Gerum (8 June 1995) ; Comment: This version of the function is ; optimized for speed, not for precision. ; The 'precision' parameter is not supported, ; and the precision is at best 1 in 10**–9. ; Note that this function does not accept its ; parameter in degrees, minutes and seconds. ; New A,N,PI,R,SIGN,XX ; ; This approximation only works for 0 <= x <= pi/2 ; so reduce angle to correct quadrant. ; Set PI=$%PI^MATH(),X=X#(PI*2),SIGN=1 Set:X>PI X=2*PI-X Set:X*2>PI X=PI-X,SIGN=–1 ; Set XX=X*X,A(1)=–0.4999999963,A(2)=0.0416666418 Set A(3)=–0.0013888397,A(4)=0.0000247609,A(5)=–0.0000002605 Set (X,R)=1 For N=1:1:5 Set X=X*XX,R=A(N)*X+R Quit R*SIGN ;=== ; ; ;

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Copyright © Examples: 1995-2022 Ed de Moel;

Copyright © Annotations: 2003-2008 Jacquard Systems Research

Copyright © Annotations: 2008-2022 Ed de Moel.

*The information in this page is
NOT authoritative and subject to be modified
at any moment.Please consult the
appropriate (draft) language standard for an
authoritative definition.*

*Some specifications are "approved
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This page most recently updated on 30-Nov-2011, 20:02:05 .

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