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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.
+ */
+
+#ifndef _TEST_UTILS_H_
+#define _TEST_UTILS_H_
+
+#include <complex.h>
+#include <fenv.h>
+#include <float.h>
+
+#include <atf-c.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
+
+/*
+ * The compiler-rt fp128 builtins do not update FP exceptions.
+ * See https://llvm.org/PR34126
+ */
+
+static int cfpequal(long double complex, long double complex) __used;
+
+/*
+ * Determine whether x and y are equal, with two special rules:
+ * +0.0 != -0.0
+ * NaN == NaN
+ * If checksign is false, we compare the absolute values instead.
+ */
+static inline int
+fpequal_cs(long double x, long double y, bool checksign)
+{
+ if (isnan(x) && isnan(y))
+ return (1);
+ if (checksign)
+ return (x == y && !signbit(x) == !signbit(y));
+ else
+ return (fabsl(x) == fabsl(y));
+}
+
+static inline 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);
+}
+
+#define CHECK_FPEQUAL(x, y) CHECK_FPEQUAL_CS(x, y, true)
+
+#define CHECK_FPEQUAL_CS(x, y, checksign) do { \
+ long double _x = x; \
+ long double _y = y; \
+ ATF_CHECK_MSG(fpequal_cs(_x, _y, checksign), \
+ "%s (%.25Lg) ~= %s (%.25Lg)", #x, _x, #y, _y); \
+} while (0)
+
+#define CHECK_FPEQUAL_TOL(x, y, tol, flags) do { \
+ long double _x = x; \
+ long double _y = y; \
+ bool eq = fpequal_tol(_x, _y, tol, flags); \
+ long double _diff = eq ? 0.0L : fabsl(_x - _y); \
+ ATF_CHECK_MSG(eq, "%s (%.25Lg) ~= %s (%.25Lg), diff=%Lg, maxdiff=%Lg,", \
+ #x, _x, #y, _y, _diff, fabsl(_y * tol)); \
+} while (0)
+
+static inline int
+cfpequal(long double complex d1, long double complex d2)
+{
+
+ return (fpequal_cs(creall(d1), creall(d2), true) &&
+ fpequal_cs(cimagl(d1), cimagl(d2), true));
+}
+
+#define CHECK_CFPEQUAL_CS(x, y, checksign) do { \
+ long double _x = x; \
+ long double _y = y; \
+ bool equal_cs = \
+ fpequal_cs(creal(_x), creal(_y), (checksign & CS_REAL) != 0) && \
+ fpequal_cs(cimag(_x), cimag(_y), (checksign & CS_IMAG) != 0); \
+ ATF_CHECK_MSG(equal_cs, "%s (%Lg + %Lg I) ~= %s (%Lg + %Lg I)", \
+ #x, creall(_x), cimagl(_x), #y, creall(_y), cimagl(_y)); \
+} while (0)
+
+#define CHECK_CFPEQUAL_TOL(x, y, tol, flags) do { \
+ long double _x = x; \
+ long double _y = y; \
+ bool equal_tol = (fpequal_tol(creal(_x), creal(_y), tol, flags) && \
+ fpequal_tol(cimag(_x), cimag(_y), tol, flags)); \
+ ATF_CHECK_MSG(equal_tol, "%s (%Lg + %Lg I) ~= %s (%Lg + %Lg I)", \
+ #x, creall(_x), cimagl(_x), #y, creall(_y), cimagl(_y)); \
+} while (0)
+
+#define CHECK_FP_EXCEPTIONS(excepts, exceptmask) \
+ ATF_CHECK_EQ_MSG((excepts), fetestexcept(exceptmask), \
+ "unexpected exception flags: got %#x not %#x", \
+ fetestexcept(exceptmask), (excepts))
+#define CHECK_FP_EXCEPTIONS_MSG(excepts, exceptmask, fmt, ...) \
+ ATF_CHECK_EQ_MSG((excepts), fetestexcept(exceptmask), \
+ "unexpected exception flags: got %#x not %#x " fmt, \
+ fetestexcept(exceptmask), (excepts), __VA_ARGS__)
+
+#endif /* _TEST_UTILS_H_ */