Fixed missing copyright notice.

1 files changed, 147 insertions, 146 deletions

diff --git a/src/c/elementaryFunctions/acos/zacoss.c b/src/c/elementaryFunctions/acos/zacoss.c
index 7758a932..de6f3fe9 100644
--- a/src/c/elementaryFunctions/acos/zacoss.c
+++ b/src/c/elementaryFunctions/acos/zacoss.c
@@ -1,146 +1,147 @@
-/*
- *  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);
-}
+/*

+ *  Scilab ( http://www.scilab.org/ ) - This file is part of Scilab

+ *  Copyright (C) 2007-2008 - INRIA - Bruno JOFRET

+ *  Copyright (C) Bruno Pincon

+ *

+ *  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);

+}