diff packages/language/c/libm/current/src/float/portable-api/sf_atan.c @ 3260:77f9d3253c3e

Add: Complex number header and library (single and double precision floating point), port from Newlib. Add: Single precision floating point library, port from Newlib. [ Bugzilla 1001539 ]
author vae
date Sun, 25 Aug 2013 14:38:57 +0000
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+++ b/packages/language/c/libm/current/src/float/portable-api/sf_atan.c
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+//===========================================================================
+//
+//      sf_atan.c
+//
+//      Part of the standard mathematical function library
+//
+//===========================================================================
+// ####ECOSGPLCOPYRIGHTBEGIN####
+// -------------------------------------------
+// This file is part of eCos, the Embedded Configurable Operating System.
+// Copyright (C) 2012 Free Software Foundation, Inc.
+//
+// eCos is free software; you can redistribute it and/or modify it under
+// the terms of the GNU General Public License as published by the Free
+// Software Foundation; either version 2 or (at your option) any later
+// version.
+//
+// eCos is distributed in the hope that it will be useful, but WITHOUT
+// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+// FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+// for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with eCos; if not, write to the Free Software Foundation, Inc.,
+// 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
+//
+// As a special exception, if other files instantiate templates or use
+// macros or inline functions from this file, or you compile this file
+// and link it with other works to produce a work based on this file,
+// this file does not by itself cause the resulting work to be covered by
+// the GNU General Public License. However the source code for this file
+// must still be made available in accordance with section (3) of the GNU
+// General Public License v2.
+//
+// This exception does not invalidate any other reasons why a work based
+// on this file might be covered by the GNU General Public License.
+// -------------------------------------------
+// ####ECOSGPLCOPYRIGHTEND####
+//===========================================================================
+//#####DESCRIPTIONBEGIN####
+//
+// Author(s):
+// Contributors: visar, ilijak
+// Date:        2012-03-08
+// Purpose:
+// Description:
+// Usage:
+//
+//####DESCRIPTIONEND####
+//
+//===========================================================================
+
+// CONFIGURATION
+
+#include <pkgconf/libm.h>   // Configuration header
+
+// Include the Math library?
+#ifdef CYGPKG_LIBM
+
+// Derived from code with the following copyright
+
+
+/* sf_atan.c -- float version of s_atan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+
+#include "mathincl/fdlibm.h"
+
+#ifdef __STDC__
+static const float atanhi[] = {
+#else
+static float atanhi[] = {
+#endif
+  4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
+  7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
+  9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
+  1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
+};
+
+#ifdef __STDC__
+static const float atanlo[] = {
+#else
+static float atanlo[] = {
+#endif
+  5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
+  3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
+  3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
+  7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
+};
+
+#ifdef __STDC__
+static const float aT[] = {
+#else
+static float aT[] = {
+#endif
+  3.3333334327e-01, /* 0x3eaaaaaa */
+ -2.0000000298e-01, /* 0xbe4ccccd */
+  1.4285714924e-01, /* 0x3e124925 */
+ -1.1111110449e-01, /* 0xbde38e38 */
+  9.0908870101e-02, /* 0x3dba2e6e */
+ -7.6918758452e-02, /* 0xbd9d8795 */
+  6.6610731184e-02, /* 0x3d886b35 */
+ -5.8335702866e-02, /* 0xbd6ef16b */
+  4.9768779427e-02, /* 0x3d4bda59 */
+ -3.6531571299e-02, /* 0xbd15a221 */
+  1.6285819933e-02, /* 0x3c8569d7 */
+};
+
+#ifdef __STDC__
+	static const float
+#else
+	static float
+#endif
+one   = 1.0,
+huge   = 1.0e30;
+
+#ifdef __STDC__
+	float atanf(float x)
+#else
+	float atanf(x)
+	float x;
+#endif
+{
+	float w,s1,s2,z;
+	__int32_t ix,hx,id;
+
+	hx = CYG_LIBM_WORD(x);
+	ix = hx&0x7fffffff;
+	if(ix>=0x50800000) {	/* if |x| >= 2^34 */
+	    if(FLT_UWORD_IS_NAN(ix))
+		return x+x;		/* NaN */
+	    if(hx>0) return  atanhi[3]+atanlo[3];
+	    else     return -atanhi[3]-atanlo[3];
+	} if (ix < 0x3ee00000) {	/* |x| < 0.4375 */
+	    if (ix < 0x31000000) {	/* |x| < 2^-29 */
+		if(huge+x>one) return x;	/* raise inexact */
+	    }
+	    id = -1;
+	} else {
+	x = fabsf(x);
+	if (ix < 0x3f980000) {		/* |x| < 1.1875 */
+	    if (ix < 0x3f300000) {	/* 7/16 <=|x|<11/16 */
+		id = 0; x = ((float)2.0*x-one)/((float)2.0+x);
+	    } else {			/* 11/16<=|x|< 19/16 */
+		id = 1; x  = (x-one)/(x+one);
+	    }
+	} else {
+	    if (ix < 0x401c0000) {	/* |x| < 2.4375 */
+		id = 2; x  = (x-(float)1.5)/(one+(float)1.5*x);
+	    } else {			/* 2.4375 <= |x| < 2^66 */
+		id = 3; x  = -(float)1.0/x;
+	    }
+	}}
+    /* end of argument reduction */
+	z = x*x;
+	w = z*z;
+    /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+	s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
+	s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
+	if (id<0) return x - x*(s1+s2);
+	else {
+	    z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+	    return (hx<0)? -z:z;
+	}
+}
+
+
+#endif // ifdef CYGPKG_LIBM
+
+// EOF sf_atan.c