Add various complex math routines from OpenBSD.

Author: ViralBShah

src/s_cabs.c

@@ -0,0 +1,30 @@
+/*	$OpenBSD: s_cabs.c,v 1.6 2013/07/03 04:46:36 espie Exp $	*/
+/*
+ * Copyright (c) 2008 Martynas Venckus <martynas@openbsd.org>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+double
+cabs(double complex z)
+{
+	return hypot(__real__ z, __imag__ z);
+}
+
+#if	LDBL_MANT_DIG == DBL_MANT_DIG
+__strong_alias(cabsl, cabs);
+#endif	/* LDBL_MANT_DIG == DBL_MANT_DIG */

src/s_cabsf.c

@@ -0,0 +1,25 @@
+/*	$OpenBSD: s_cabsf.c,v 1.1 2008/09/07 20:36:09 martynas Exp $	*/
+/*
+ * Copyright (c) 2008 Martynas Venckus <martynas@openbsd.org>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+float
+cabsf(float complex z)
+{
+	return hypotf(__real__ z, __imag__ z);
+}

src/s_cabsl.c

@@ -0,0 +1,26 @@
+/*	$OpenBSD: s_cabsl.c,v 1.1 2011/07/08 19:25:31 martynas Exp $	*/
+
+/*
+ * Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+#include <complex.h>
+#include <math.h>
+
+long double
+cabsl(long double complex z)
+{
+	return hypotl(__real__ z, __imag__ z);
+}

src/s_cacos.c

@@ -0,0 +1,65 @@
+/*	$OpenBSD: s_cacos.c,v 1.6 2013/07/03 04:46:36 espie Exp $	*/
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+/*							cacos()
+ *
+ *	Complex circular arc cosine
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double complex cacos();
+ * double complex z, w;
+ *
+ * w = cacos (z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ *
+ * w = arccos z  =  PI/2 - arcsin z.
+ *
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    DEC       -10,+10      5200      1.6e-15      2.8e-16
+ *    IEEE      -10,+10     30000      1.8e-14      2.2e-15
+ */
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+double complex
+cacos(double complex z)
+{
+	double complex w;
+
+	w = casin (z);
+	w = (M_PI_2 - creal (w)) - cimag (w) * I;
+	return (w);
+}
+
+#if	LDBL_MANT_DIG == DBL_MANT_DIG
+__strong_alias(cacosl, cacos);
+#endif	/* LDBL_MANT_DIG == DBL_MANT_DIG */

src/s_cacosf.c

@@ -0,0 +1,60 @@
+/*	$OpenBSD: s_cacosf.c,v 1.2 2011/07/20 19:28:33 martynas Exp $	*/
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+/*							cacosf()
+ *
+ *	Complex circular arc cosine
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * void cacosf();
+ * cmplxf z, w;
+ *
+ * cacosf( &z, &w );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ *
+ * w = arccos z  =  PI/2 - arcsin z.
+ *
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       9.2e-6       1.2e-6
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+cacosf(float complex z)
+{
+	float complex w;
+
+	w = casinf( z );
+	w = ((float)M_PI_2 - crealf (w)) - cimagf (w) * I;
+	return (w);
+}

src/s_cacosh.c

@@ -0,0 +1,60 @@
+/*	$OpenBSD: s_cacosh.c,v 1.6 2013/07/03 04:46:36 espie Exp $	*/
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+/*							cacosh
+ *
+ *	Complex inverse hyperbolic cosine
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double complex cacosh();
+ * double complex z, w;
+ *
+ * w = cacosh (z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * acosh z = i acos z .
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       1.6e-14     2.1e-15
+ *
+ */
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+double complex
+cacosh(double complex z)
+{
+	double complex w;
+
+	w = I * cacos (z);
+	return (w);
+}
+
+#if	LDBL_MANT_DIG == DBL_MANT_DIG
+__strong_alias(cacoshl, cacosh);
+#endif	/* LDBL_MANT_DIG == DBL_MANT_DIG */

src/s_cacoshf.c

@@ -0,0 +1,55 @@
+/*	$OpenBSD: s_cacoshf.c,v 1.1 2008/09/07 20:36:09 martynas Exp $	*/
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+/*							cacoshf
+ *
+ *	Complex inverse hyperbolic cosine
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * float complex cacoshf();
+ * float complex z, w;
+ *
+ * w = cacoshf (z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * acosh z = i acos z .
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       1.6e-14     2.1e-15
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+cacoshf(float complex z)
+{
+	float complex w;
+
+	w = I * cacosf (z);
+	return (w);
+}

src/s_cacoshl.c

@@ -0,0 +1,56 @@
+/*	$OpenBSD: s_cacoshl.c,v 1.1 2011/07/08 19:25:31 martynas Exp $	*/
+
+/*
+ * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ */
+
+/*							cacoshl
+ *
+ *	Complex inverse hyperbolic cosine
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * long double complex cacoshl();
+ * long double complex z, w;
+ *
+ * w = cacoshl (z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * acosh z = i acos z .
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       1.6e-14     2.1e-15
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+long double complex
+cacoshl(long double complex z)
+{
+	long double complex w;
+
+	w = I * cacosl(z);
+	return (w);
+}