Add cpow from OpenBSD

Use clang by default on Darwin
Enable cpow tests

Fix #22

Make.inc

@@ -8,6 +8,12 @@ FFLAGS += -O3
 USEGCC = 1
 USECLANG = 0
 
+ifeq ($(OS), Darwin)
+USEGCC = 0
+USECLANG = 1
+endif
+
+AR = ar
 
 ifeq ($(USECLANG),1)
 USEGCC = 0
@@ -19,7 +25,6 @@ ifeq ($(USEGCC),1)
 CC = gcc
 CFLAGS_add += -fno-gnu89-inline
 endif
-AR = ar
 
 ARCH := $(shell $(CC) -dumpmachine | sed "s/\([^-]*\).*$$/\1/")
 ifeq ($(ARCH),mingw32)

src/Make.files

@@ -30,6 +30,7 @@ $(CUR_SRCS) = \
         s_scalbln.c s_scalbn.c s_scalbnf.c s_signbit.c \
         s_signgam.c s_significand.c s_significandf.c s_sin.c s_sinf.c \
         s_tan.c s_tanf.c s_tanh.c s_tanhf.c s_tgammaf.c s_trunc.c s_truncf.c \
+	s_cpow.c  s_cpowf.c s_cpowl.c \
         w_cabs.c w_cabsf.c w_drem.c w_dremf.c
 
 ifneq ($(OS), WINNT)

src/s_cpow.c

@@ -0,0 +1,76 @@
+/*	$OpenBSD: s_cpow.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.
+ */
+
+/*							cpow
+ *
+ *	Complex power function
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * double complex cpow();
+ * double complex a, z, w;
+ *
+ * w = cpow (a, z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Raises complex A to the complex Zth power.
+ * Definition is per AMS55 # 4.2.8,
+ * analytically equivalent to cpow(a,z) = cexp(z clog(a)).
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       9.4e-15     1.5e-15
+ *
+ */
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+double complex
+cpow(double complex a, double complex z)
+{
+	double complex w;
+	double x, y, r, theta, absa, arga;
+
+	x = creal (z);
+	y = cimag (z);
+	absa = cabs (a);
+	if (absa == 0.0) {
+		return (0.0 + 0.0 * I);
+	}
+	arga = carg (a);
+	r = pow (absa, x);
+	theta = x * arga;
+	if (y != 0.0) {
+		r = r * exp (-y * arga);
+		theta = theta + y * log (absa);
+	}
+	w = r * cos (theta) + (r * sin (theta)) * I;
+	return (w);
+}
+
+#if	LDBL_MANT_DIG == DBL_MANT_DIG
+__strong_alias(cpowl, cpow);
+#endif	/* LDBL_MANT_DIG == DBL_MANT_DIG */

src/s_cpowf.c

@@ -0,0 +1,71 @@
+/*	$OpenBSD: s_cpowf.c,v 1.2 2010/07/18 18:42:26 guenther 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.
+ */
+
+/*							cpowf
+ *
+ *	Complex power function
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * float complex cpowf();
+ * float complex a, z, w;
+ *
+ * w = cpowf (a, z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Raises complex A to the complex Zth power.
+ * Definition is per AMS55 # 4.2.8,
+ * analytically equivalent to cpow(a,z) = cexp(z clog(a)).
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       9.4e-15     1.5e-15
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+float complex
+cpowf(float complex a, float complex z)
+{
+	float complex w;
+	float x, y, r, theta, absa, arga;
+
+	x = crealf(z);
+	y = cimagf(z);
+	absa = cabsf (a);
+	if (absa == 0.0f) {
+		return (0.0f + 0.0f * I);
+	}
+	arga = cargf (a);
+	r = powf (absa, x);
+	theta = x * arga;
+	if (y != 0.0f) {
+		r = r * expf (-y * arga);
+		theta = theta + y * logf (absa);
+	}
+	w = r * cosf (theta) + (r * sinf (theta)) * I;
+	return (w);
+}

src/s_cpowl.c

@@ -0,0 +1,72 @@
+/*	$OpenBSD: s_cpowl.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.
+ */
+
+/*							cpowl
+ *
+ *	Complex power function
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * long double complex cpowl();
+ * long double complex a, z, w;
+ *
+ * w = cpowl (a, z);
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Raises complex A to the complex Zth power.
+ * Definition is per AMS55 # 4.2.8,
+ * analytically equivalent to cpow(a,z) = cexp(z clog(a)).
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE      -10,+10     30000       9.4e-15     1.5e-15
+ *
+ */
+
+#include <complex.h>
+#include <math.h>
+
+long double complex
+cpowl(long double complex a, long double complex z)
+{
+	long double complex w;
+	long double x, y, r, theta, absa, arga;
+
+	x = creall(z);
+	y = cimagl(z);
+	absa = cabsl(a);
+	if (absa == 0.0L) {
+		return (0.0L + 0.0L * I);
+	}
+	arga = cargl(a);
+	r = powl(absa, x);
+	theta = x * arga;
+	if (y != 0.0L) {
+		r = r * expl(-y * arga);
+		theta = theta + y * logl(absa);
+	}
+	w = r * cosl(theta) + (r * sinl(theta)) * I;
+	return (w);
+}