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Diffstat (limited to 'src/elementaryFunctions/acos/zacoss.c')
| -rw-r--r-- | src/elementaryFunctions/acos/zacoss.c | 146 |
1 files changed, 0 insertions, 146 deletions
diff --git a/src/elementaryFunctions/acos/zacoss.c b/src/elementaryFunctions/acos/zacoss.c deleted file mode 100644 index 7758a932..00000000 --- a/src/elementaryFunctions/acos/zacoss.c +++ /dev/null @@ -1,146 +0,0 @@ -/* - * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab - * Copyright (C) 2007-2008 - INRIA - Bruno JOFRET - * - * This file must be used under the terms of the CeCILL. - * This source file is licensed as described in the file COPYING, which - * you should have received as part of this distribution. The terms - * are also available at - * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt - * - */ - -/* - * This fonction is a translation of fortran wacos write by Bruno Pincon <Bruno.Pincon@iecn.u-nancy.fr> - * REFERENCE - * This is a Fortran-77 translation of an algorithm by - * T.E. Hull, T. F. Fairgrieve and P.T.P. Tang which - * appears in their article : - * "Implementing the Complex Arcsine and Arccosine - * Functions Using Exception Handling", ACM, TOMS, - * Vol 23, No. 3, Sept 1997, p. 299-335 - */ - -#include "acos.h" -#include "atan.h" -#include "log.h" -#include "log1p.h" -#include "sqrt.h" -#include "abs.h" -#include "lapack.h" -#include "min.h" -#include "max.h" - -#define localSign(x) (x>0 ? 1 : -1) - -doubleComplex zacoss(doubleComplex z) { - static double sdblPi = 3.1415926535897932384626433; - static double sdblPi_2 = 1.5707963267948966192313216; - static double sdblLn2 = 0.6931471805599453094172321; - static double sdblAcross = 1.5; - static double sdblBcross = 0.6417; - - double dblLsup = dsqrts(getOverflowThreshold())/8.0; - double dblLinf = 4.0 * dsqrts(getUnderflowThreshold()); - double dblEpsm = dsqrts(getRelativeMachinePrecision()); - - double dblAbsReal = dabss(zreals(z)); - double dblAbsImg = dabss(zimags(z)); - double dblSignReal = localSign(zreals(z)); - double dblSignImg = localSign(zimags(z)); - - double dblR = 0, dblS = 0, dblA = 0, dblB = 0; - - double dblTemp = 0; - - double _pdblReal = 0; - double _pdblImg = 0; - - if( min(dblAbsReal, dblAbsImg) > dblLinf && max(dblAbsReal, dblAbsImg) <= dblLsup) - {/* we are in the safe region */ - dblR = dsqrts( (dblAbsReal + 1 )*(dblAbsReal + 1 ) + dblAbsImg*dblAbsImg); - dblS = dsqrts( (dblAbsReal - 1 )*(dblAbsReal - 1 ) + dblAbsImg*dblAbsImg); - dblA = 0.5 * ( dblR + dblS ); - dblB = dblAbsReal / dblA; - - - /* compute the real part */ - if(dblB <= sdblBcross) - _pdblReal = dacoss(dblB); - else if( dblAbsReal <= 1) - _pdblReal = datans(dsqrts(0.5 * (dblA + dblAbsReal) * (dblAbsImg*dblAbsImg / (dblR + (dblAbsReal + 1)) + (dblS + (1 - dblAbsReal)))) / dblAbsReal); - else - _pdblReal = datans((dblAbsImg * dsqrts(0.5 * ((dblA + dblAbsReal) / (dblR + (dblAbsReal + 1)) + (dblA + dblAbsReal) / (dblS + (dblAbsReal - 1))))) / dblAbsReal); - - /* compute the imaginary part */ - if(dblA <= sdblAcross) - { - double dblImg1 = 0; - - if(dblAbsReal < 1) - /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(y**2)/(S+(1.d0-x))) */ - dblImg1 = 0.5 * (dblAbsImg*dblAbsImg / (dblR + (dblAbsReal + 1)) + dblAbsImg*dblAbsImg / (dblS + (1 - dblAbsReal))); - else - /* Am1 = 0.5d0*((y**2)/(R+(x+1.d0))+(S+(x-1.d0))) */ - dblImg1 = 0.5 * (dblAbsImg*dblAbsImg / (dblR + (dblAbsReal + 1)) + (dblS + (dblAbsReal - 1))); - /* ai = logp1(Am1 + sqrt(Am1*(A+1.d0))) */ - dblTemp = dblImg1 + dsqrts(dblImg1 *( dblA + 1)); - _pdblImg = dlog1ps(dblTemp); - } - else - /* ai = log(A + sqrt(A**2 - 1.d0)) */ - _pdblImg = dlogs(dblA + dsqrts(dblA*dblA - 1)); - } - else - {/* evaluation in the special regions ... */ - if(dblAbsImg <= dblEpsm * dabss(dblAbsReal - 1)) - { - if(dblAbsReal < 1) - { - _pdblReal = dacoss(dblAbsReal); - _pdblImg = dblAbsImg / dsqrts((1 + dblAbsReal) * (1 - dblAbsReal)); - } - else - { - _pdblReal = 0; - if(dblAbsReal <= dblLsup) - { - dblTemp = (dblAbsReal - 1) + dsqrts((dblAbsReal - 1) * (dblAbsReal + 1)); - _pdblImg = dlog1ps(dblTemp); - } - else - _pdblImg = sdblLn2 + dlogs(dblAbsReal); - } - } - else if(dblAbsImg < dblLinf) - { - _pdblReal = dsqrts(dblAbsImg); - _pdblImg = _pdblReal; - } - else if((dblEpsm * dblAbsImg - 1 >= dblAbsReal)) - { - _pdblReal = sdblPi_2; - _pdblImg = sdblLn2 + dlogs(dblAbsImg); - } - else if(dblAbsReal > 1) - { - _pdblReal = datans(dblAbsImg / dblAbsReal); - dblTemp = (dblAbsReal / dblAbsImg)*(dblAbsReal / dblAbsImg); - _pdblImg = sdblLn2 + dlogs(dblAbsImg) + 0.5 * dlog1ps(dblTemp); - } - else - { - double dblTemp2 = dsqrts(1 + dblAbsImg*dblAbsImg); - _pdblReal = sdblPi_2; - dblTemp = 2 * dblAbsImg * (dblAbsImg + dblTemp2); - _pdblImg = 0.5 * dlog1ps(dblTemp); - } - } - if(dblSignReal < 0) - _pdblReal = sdblPi - _pdblReal; - - if(dblAbsImg != 0 || dblSignReal < 0) - _pdblImg = - dblSignImg * _pdblImg; - - return DoubleComplex(_pdblReal, _pdblImg); -} |