root/lib/msun/tests/test-utils.h
/*-
 * 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 _fpequal_cs(atf_variant, x, y, checksign) do {                          \
        long double _x = x;                                                     \
        long double _y = y;                                                     \
        ATF_##atf_variant##_MSG(fpequal_cs(_x, _y, checksign),                  \
            "%s (%.25Lg) ~= %s (%.25Lg)", #x, _x, #y, _y);                      \
} while (0)

#define _fpequal_tol(atf_variant, 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_##atf_variant##_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 _cfpequal_cs(atf_variant, 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_##atf_variant##_MSG(equal_cs,                                       \
            "%s (%Lg + %Lg I) ~=  %s (%Lg + %Lg I)",                            \
            #x, creall(_x), cimagl(_x), #y, creall(_y), cimagl(_y));            \
} while (0)

#define _cfpequal_tol(atf_variant, 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_##atf_variant##_MSG(equal_tol,                                      \
            "%s (%Lg + %Lg I) ~=  %s (%Lg + %Lg I)",                            \
            #x, creall(_x), cimagl(_x), #y, creall(_y), cimagl(_y));            \
} while (0)

#define _fp_exceptions(atf_variant, excepts, exceptmask)                \
        ATF_##atf_variant##_EQ_MSG((excepts), fetestexcept(exceptmask), \
            "unexpected exception flags: got %#x not %#x",              \
            fetestexcept(exceptmask), (excepts))
#define _fp_exceptions_msg(atf_variant, excepts, exceptmask, fmt, ...)  \
        ATF_##atf_variant##_EQ_MSG((excepts), fetestexcept(exceptmask), \
            "unexpected exception flags: got %#x not %#x " fmt, \
            fetestexcept(exceptmask), (excepts), __VA_ARGS__)

#define CHECK_FP_EXCEPTIONS(excepts, exceptmask) _fp_exceptions(CHECK, excepts, exceptmask)
#define CHECK_FP_EXCEPTIONS_MSG(excepts, exceptmask, fmt, ...) _fp_exceptions_msg(CHECK, excepts, exceptmask, fmt, __VA_ARGS__)
#define CHECK_CFPEQUAL_TOL(x, y, tol, flags) _cfpequal_tol(CHECK, x, y, tol, flags)
#define CHECK_CFPEQUAL_CS(x, y, checksign) _cfpequal_cs(CHECK, x, y, checksign)
#define CHECK_FPEQUAL(x, y) _fpequal_cs(CHECK, x, y, true)
#define CHECK_FPEQUAL_TOL(x, y, tol, flags) _fpequal_tol(CHECK, x, y, tol, flags)

#define REQUIRE_FP_EXCEPTIONS(excepts, exceptmask) _fp_exceptions(REQUIRE, excepts, exceptmask)
#define REQUIRE_FP_EXCEPTIONS_MSG(excepts, exceptmask, fmt, ...) _fp_exceptions_msg(REQUIRE, excepts, exceptmask, fmt, __VA_ARGS__)
#define REQUIRE_CFPEQUAL_TOL(x, y, tol, flags) _cfpequal_tol(REQUIRE, x, y, tol, flags)
#define REQUIRE_CFPEQUAL_CS(x, y, checksign) _cfpequal_cs(REQUIRE, x, y, checksign)
#define REQUIRE_FPEQUAL(x, y) _fpequal_cs(REQUIRE, x, y, true)
#define REQUIRE_FPEQUAL_TOL(x, y, tol, flags) _fpequal_tol(REQUIRE, x, y, tol, flags)

#endif /* _TEST_UTILS_H_ */