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+/*-
+ * Copyright (c) 2005-2013 David Schultz <das@FreeBSD.org>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#ifndef _TEST_UTILS_H_
+#define _TEST_UTILS_H_
+
+#include <complex.h>
+#include <fenv.h>
+
+/*
+ * Implementations are permitted to define additional exception flags
+ * not specified in the standard, so it is not necessarily true that
+ * FE_ALL_EXCEPT == ALL_STD_EXCEPT.
+ */
+#define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
+ FE_OVERFLOW | FE_UNDERFLOW)
+#define OPT_INVALID (ALL_STD_EXCEPT & ~FE_INVALID)
+#define OPT_INEXACT (ALL_STD_EXCEPT & ~FE_INEXACT)
+#define FLT_ULP() ldexpl(1.0, 1 - FLT_MANT_DIG)
+#define DBL_ULP() ldexpl(1.0, 1 - DBL_MANT_DIG)
+#define LDBL_ULP() ldexpl(1.0, 1 - LDBL_MANT_DIG)
+
+/*
+ * Flags that control the behavior of various fpequal* functions.
+ * XXX This is messy due to merging various notions of "close enough"
+ * that are best suited for different functions.
+ *
+ * CS_REAL
+ * CS_IMAG
+ * CS_BOTH
+ * (cfpequal_cs, fpequal_tol, cfpequal_tol) Whether to check the sign of
+ * the real part of the result, the imaginary part, or both.
+ *
+ * FPE_ABS_ZERO
+ * (fpequal_tol, cfpequal_tol) If set, treats the tolerance as an absolute
+ * tolerance when the expected value is 0. This is useful when there is
+ * round-off error in the input, e.g., cos(Pi/2) ~= 0.
+ */
+#define CS_REAL 0x01
+#define CS_IMAG 0x02
+#define CS_BOTH (CS_REAL | CS_IMAG)
+#define FPE_ABS_ZERO 0x04
+
+#ifdef DEBUG
+#define debug(...) printf(__VA_ARGS__)
+#else
+#define debug(...) (void)0
+#endif
+
+/*
+ * XXX The ancient version of gcc in the base system doesn't support CMPLXL,
+ * but we can fake it most of the time.
+ */
+#ifndef CMPLXL
+static inline long double complex
+CMPLXL(long double x, long double y)
+{
+ long double complex z;
+
+ __real__ z = x;
+ __imag__ z = y;
+ return (z);
+}
+#endif
+
+/*
+ * Compare d1 and d2 using special rules: NaN == NaN and +0 != -0.
+ * Fail an assertion if they differ.
+ */
+static int
+fpequal(long double d1, long double d2)
+{
+
+ if (d1 != d2)
+ return (isnan(d1) && isnan(d2));
+ return (copysignl(1.0, d1) == copysignl(1.0, d2));
+}
+
+/*
+ * Determine whether x and y are equal, with two special rules:
+ * +0.0 != -0.0
+ * NaN == NaN
+ * If checksign is 0, we compare the absolute values instead.
+ */
+static int
+fpequal_cs(long double x, long double y, int checksign)
+{
+ if (isnan(x) && isnan(y))
+ return (1);
+ if (checksign)
+ return (x == y && !signbit(x) == !signbit(y));
+ else
+ return (fabsl(x) == fabsl(y));
+}
+
+static int
+fpequal_tol(long double x, long double y, long double tol, unsigned int flags)
+{
+ fenv_t env;
+ int ret;
+
+ if (isnan(x) && isnan(y))
+ return (1);
+ if (!signbit(x) != !signbit(y) && (flags & CS_BOTH))
+ return (0);
+ if (x == y)
+ return (1);
+ if (tol == 0)
+ return (0);
+
+ /* Hard case: need to check the tolerance. */
+ feholdexcept(&env);
+ /*
+ * For our purposes here, if y=0, we interpret tol as an absolute
+ * tolerance. This is to account for roundoff in the input, e.g.,
+ * cos(Pi/2) ~= 0.
+ */
+ if ((flags & FPE_ABS_ZERO) && y == 0.0)
+ ret = fabsl(x - y) <= fabsl(tol);
+ else
+ ret = fabsl(x - y) <= fabsl(y * tol);
+ fesetenv(&env);
+ return (ret);
+}
+
+static int
+cfpequal(long double complex d1, long double complex d2)
+{
+
+ return (fpequal(creall(d1), creall(d2)) &&
+ fpequal(cimagl(d1), cimagl(d2)));
+}
+
+static int
+cfpequal_cs(long double complex x, long double complex y, int checksign)
+{
+ return (fpequal_cs(creal(x), creal(y), checksign)
+ && fpequal_cs(cimag(x), cimag(y), checksign));
+}
+
+static int
+cfpequal_tol(long double complex x, long double complex y, long double tol,
+ unsigned int flags)
+{
+ return (fpequal_tol(creal(x), creal(y), tol, flags)
+ && fpequal_tol(cimag(x), cimag(y), tol, flags));
+}
+
+#endif /* _TEST_UTILS_H_ */
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