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complex_test.h

/*
 This Software is provided under the Zope Public License (ZPL) Version 2.1.

 Copyright (c) 2009, 2010 by the mingw-w64 project

 See the AUTHORS file for the list of contributors to the mingw-w64 project.

 This license has been certified as open source. It has also been designated
 as GPL compatible by the Free Software Foundation (FSF).

 Redistribution and use in source and binary forms, with or without
 modification, are permitted provided that the following conditions are met:

   1. Redistributions in source code must retain the accompanying copyright
      notice, this list of conditions, and the following disclaimer.
   2. Redistributions in binary form must reproduce the accompanying
      copyright notice, this list of conditions, and the following disclaimer
      in the documentation and/or other materials provided with the
      distribution.
   3. Names of the copyright holders must not be used to endorse or promote
      products derived from this software without prior written permission
      from the copyright holders.
   4. The right to distribute this software or to use it for any purpose does
      not give you the right to use Servicemarks (sm) or Trademarks (tm) of
      the copyright holders.  Use of them is covered by separate agreement
      with the copyright holders.
   5. If any files are modified, you must cause the modified files to carry
      prominent notices stating that you changed the files and the date of
      any change.

 Disclaimer

 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESSED
 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 COPYRIGHT HOLDERS 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.
*/

/* Testsuite functions for the complex functions of C99.  */
#ifndef _NEWCOMPLEX_TEST_H
#define _NEWCOMPLEX_TEST_H

/* Support printing of long doubles.  */
#define __USE_MINGW_ANSI_STDIO 1
#include <stdio.h>
#include <math.h>
#include <complex.h>

/* Default to double types.  */
#if !(defined (_NEW_COMPLEX_FLOAT) || defined (_NEW_COMPLEX_DOUBLE) || defined (_NEW_COMPLEX_LDOUBLE))
#define _NEW_COMPLEX_DOUBLE 1
#endif

/* Grab the internals for things like __FLT_PI, etc.  */
#include "complex_internal.h"

/* Declare comparisons etc.  */
#if defined(_NEW_COMPLEX_DOUBLE)
# define __FLT_CMP      compare_dbl
# define __FLT_CCMP     compare_cdbl
# define __FLT_DELTA    (2.0 * __DBL_EPSILON__)
# define __FLT_FMT      "%0.32g"
#elif defined (_NEW_COMPLEX_FLOAT)
# define __FLT_CMP      compare_flt
# define __FLT_CCMP     compare_cflt
# define __FLT_DELTA    (2.0F * __FLT_EPSILON__)
# define __FLT_FMT       "%0.32g"
#elif defined (_NEW_COMPLEX_LDOUBLE)
# define __FLT_CMP      compare_ldbl
# define __FLT_CCMP     compare_cldbl
# define __FLT_DELTA    (2.0L * __LDBL_EPSILON__)
# define __FLT_FMT       "%0.32Lg"
#endif

00081 struct complex_test
{
  /* The input value to the complex function */
  __FLT_TYPE input_r;
  __FLT_TYPE input_i;
  /* The expected value from the complex function */
  __FLT_TYPE expected_r;
  __FLT_TYPE expected_i;
  /* Some C99 signs are +/-.  When these are true, don't compare signs */
  int real_sign_dontcare;
  int imag_sign_dontcare;
};

/* Definition of the function under test.  */
typedef __FLT_TYPE complex (*complex_function)(__FLT_TYPE complex z);
typedef __FLT_TYPE         (*real_function)(__FLT_TYPE complex z);

/* Some possible behaviors of the function.  */
/* func (conj (z)) = conj (func (z))  */
#define FUNC_BEHAVIOR_CONJ 0x0001
/* func (-z) = -func (z)  */
#define FUNC_BEHAVIOR_ODD  0x0002
/* func (-z) = func (z)  */
#define FUNC_BEHAVIOR_EVEN 0x0004

/* Structure to hold info about the complex function.  */
00107 struct test_func_desc
{
  const char *fname;
  complex_function complex_test;
  real_function    real_test;
  int              behavior;
};

/**
 * Compares expected and test values with a delta tolerance.
 * 0 for pass, 1 for fail.
 * TODO:
 * Tune comparison precision
 **/

static int
__FLT_CMP (__FLT_TYPE expected, __FLT_TYPE in, int sign_dontcare)
{
  int bad = 0;
  if (isnan (expected) || isnan (in))
    {
      /* NaN comparisons */
      bad = isnan (expected) != isnan (in);
    }
  else if (isfinite (expected) && isfinite (in))
    {
      /* Finite value tests */
      if (expected == 0 && in == 0)
      {
        /* Signed zero comparison */
        bad = (sign_dontcare) ? 0 : signbit (expected) != signbit (in);
      }
      else
      {
        bad = (expected > in) ?
            ((expected - in) > __FLT_DELTA) :
            ((in - expected) > __FLT_DELTA);
      }
    }
  else
    {
      /* Either expected or in is an infinite */
      bad = !isinf(expected) || !isinf(in);
      if (!bad && !sign_dontcare)
      bad =  signbit (expected) != signbit (in);
    }

  return bad;
}

static int
__FLT_CCMP (complex __FLT_TYPE expected,
          complex __FLT_TYPE in,
          int real_sign_dontcare,
          int imag_sign_dontcare)
{
  return (__FLT_CMP (__FLT_ABI(creal)(expected), __FLT_ABI(creal)(in), real_sign_dontcare) ||
        __FLT_CMP (__FLT_ABI(cimag)(expected), __FLT_ABI(cimag)(in), imag_sign_dontcare));
}

/* Runs comparison and (DEBUG) print error.
   returns 1 on fail, 0 on success.  */
static int
error_check_test (const struct test_func_desc *fdesc,
              const char* testdescription,
              int testindex,
              __FLT_TYPE complex test,
              __FLT_TYPE complex expected,
              int real_sign_dontcare,
              int imag_sign_dontcare)
{
  int bad = 0;
  __FLT_TYPE complex actual;
  if (fdesc->complex_test)
    {
      actual = fdesc->complex_test (test);
      bad = __FLT_CCMP (expected, actual, real_sign_dontcare, imag_sign_dontcare);
      if (bad)
      {
        printf("%s %s test index %d failed on input " __FLT_FMT " + " __FLT_FMT "i.\n"
            "\tExpected: " __FLT_FMT " + " __FLT_FMT "i\n"
            "\tActual: " __FLT_FMT " + " __FLT_FMT "i (epsilon=" __FLT_FMT ")\n",
            fdesc->fname, testdescription, testindex,
            __FLT_ABI(creal) (test),    __FLT_ABI(cimag) (test),
            __FLT_ABI(creal) (expected), __FLT_ABI(cimag) (expected),
            __FLT_ABI(creal) (actual),   __FLT_ABI(cimag) (actual),
            __FLT_DELTA);
      }
    }
  else
    {
      __real__ actual = fdesc->real_test (test);
      bad = __FLT_CMP (__real__ expected, actual, real_sign_dontcare);
      if (bad)
      {
        printf("%s %s test index %d failed on input " __FLT_FMT " + " __FLT_FMT "i.\n"
            "\tExpected: " __FLT_FMT "\n"
            "\tActual: " __FLT_FMT " (epsilon=" __FLT_FMT ")\n",
            fdesc->fname, testdescription, testindex,
            __FLT_ABI(creal) (test),    __FLT_ABI(cimag) (test),
            __FLT_ABI(creal) (expected),
            __FLT_ABI(creal) (actual),
            __FLT_DELTA);
      }
    }

  return bad;
}

/* Tests of conjugates, function should satisfy
   func (conj (z)) = conj (func (z)).  func (conj (z)) should return
   the conj of the expected, since expected is the expected result of
   func (z).  */
static int
conjugate_tests (const struct test_func_desc *fdesc,
             int testindex,
             __FLT_TYPE complex test,
             __FLT_TYPE complex expected,
             int real_sign_dontcare,
             int imag_sign_dontcare)
{
  int ret = 0;

  /* Conjugate test 1: verify result of func (conj (z)) is conj (expected) */
  __FLT_TYPE complex ctest =    __FLT_ABI(conj) (test);
  __FLT_TYPE complex cexpected = __FLT_ABI(conj) (expected);

  ret |= error_check_test (fdesc, "Congugate of expected", testindex, ctest, cexpected,
                    real_sign_dontcare, imag_sign_dontcare);
  return ret;
}

/* Tests of odd functions, function should satisfy
   func (-z) = -func (z).  func (-z) should result in the -expected result,
   since expected is the expected result of func (z).  */
static int
odd_tests (const struct test_func_desc *fdesc,
         int testindex,
         __FLT_TYPE complex test,
         __FLT_TYPE complex expected,
         int real_sign_dontcare,
         int imag_sign_dontcare)
{
  int ret = 0;

  /* Oddness test 1: verify result of func (-z) is -expected */
  __FLT_TYPE complex ctest =    -test;
  __FLT_TYPE complex cexpected = -expected;

  ret |= error_check_test (fdesc, "Oddness", testindex, ctest, cexpected,
                    real_sign_dontcare, imag_sign_dontcare);

  /* Need to do conjugate of the odd values as well */
  ret |= conjugate_tests(fdesc, testindex, ctest, cexpected, real_sign_dontcare,
                  imag_sign_dontcare);

  return ret;
}

/* Tests of even functions, function should satisfy
   func (-z) = func (z).  func (-z) should result in the expected result,
   since expected is the expected result of func (z).  */
static int
even_tests (const struct test_func_desc *fdesc,
         int testindex,
         __FLT_TYPE complex test,
         __FLT_TYPE complex expected,
         int real_sign_dontcare,
         int imag_sign_dontcare)
{
  int ret = 0;

  /* Evenness test 1: verify result of func (-z) is expected */
  __FLT_TYPE complex ctest =    -test;
  __FLT_TYPE complex cexpected = expected;

  ret |= error_check_test (fdesc, "Evenness", testindex, ctest, cexpected,
                    real_sign_dontcare, imag_sign_dontcare);

  /* Need to do conjugate of the even values as well */
  ret |= conjugate_tests(fdesc, testindex, ctest, cexpected, real_sign_dontcare,
                  imag_sign_dontcare);
  return ret;
}

/* Actually run the tests.  */
static int
runtests (const struct test_func_desc *testfunc,
        const struct complex_test *testarray,
        int testcount)
{
  int i;
  int ret = 0;

  for (i = 0; i < testcount; i++)
    {
      __FLT_TYPE complex test;
      __FLT_TYPE complex expected;
      __real__ test = testarray[i].input_r;
      __imag__ test = testarray[i].input_i;
      __real__ expected = testarray[i].expected_r;
      __imag__ expected = testarray[i].expected_i;

      /* Main test --- specified in Annex G, et al. */
      ret |= error_check_test (testfunc, "Annex G", i, test, expected,
            testarray[i].real_sign_dontcare, testarray[i].imag_sign_dontcare);

      if (testfunc->behavior & FUNC_BEHAVIOR_CONJ)
      {
        ret |= conjugate_tests (testfunc, i, test, expected,
             testarray[i].real_sign_dontcare, testarray[i].imag_sign_dontcare);
      }

      if (testfunc->behavior & FUNC_BEHAVIOR_ODD)
      {
        ret |= odd_tests (testfunc, i, test, expected,
             testarray[i].real_sign_dontcare, testarray[i].imag_sign_dontcare);
      }

      if (testfunc->behavior & FUNC_BEHAVIOR_EVEN)
      {
        ret |= even_tests (testfunc, i, test, expected,
             testarray[i].real_sign_dontcare, testarray[i].imag_sign_dontcare);
      }
    }

  return ret;
}

#define __FLT_STRING(x) #x
#define __FLT_STRINGIFY(x) __FLT_STRING(x)

/**
 * Defines the test function with a variable name to pass to RUN_TESTS.
 * varname is the varname to use.
 * funcame is the function to test.
 * behavior is the flags of how the function behaves.
 */
#define DEFINE_TEST_FUNCTION(varname, funcname, behavior)   \
  struct test_func_desc varname =                     \
  {                                             \
    __FLT_STRINGIFY(__FLT_ABI(funcname)),             \
    __FLT_ABI(funcname),                              \
    NULL,                                       \
    behavior                                          \
  }

/**
 * Defines the test function with a variable name to pass to RUN_TESTS.
 * This version is for functions that return a real value.
 * varname is the varname to use.
 * funcame is the function to test.
 * behavior is the flags of how the function behaves.
 */
#define DEFINE_TEST_FUNCTION_REAL(varname, funcname, behavior)    \
  struct test_func_desc varname =                           \
  {                                                   \
    __FLT_STRINGIFY(__FLT_ABI(funcname)),                   \
    NULL,                                             \
    __FLT_ABI(funcname),                                    \
    behavior                                                \
  }


/* Do not use semicolons with these macros.  */

/**
 * Starts a declaration of tests, with a variable name.
 */
#define TESTS_START(v) const struct complex_test v[] = {

/**
 * Starts a declaration of tests, with a default variable name, for use with
 * RUN_DEFAULT_TESTS.
 */
#define DEFAULT_TESTS_START TESTS_START(_default_tests)

/**
 * Macro to fill a complex_test structure with values while inside a
 * TESTS block.
 */
#define DEFINE_TEST(input_r, input_i, expected_r, expected_i, real_sign_dontcare, imag_sign_dontcare) \
  { input_r, input_i, expected_r, expected_i, real_sign_dontcare, imag_sign_dontcare },

/**
 * Closes a test block opened with the TESTS_START macros.
 */
#define TESTS_END };

/**
 * Runs the tests specified in testarray using the specified test function
 * definition.
 * testfunc is the function definition specification defined by one of the
 * DEFINE_TEST_FUNCTION macros.
 * testarray is the test array defined by a TESTS_START macro.
 */
#define RUN_TESTS(testfunc, testarray) \
  (runtests(&testfunc, testarray, (sizeof (testarray) / sizeof (*testarray))))

/**
 * Runs the tests specified in testarray using the test function
 * definition declared with DEFINE_DEFAULT_TEST_FUNCTION macros.
 * funcname is the function name passed to the DEFAULT_TEST_FUNCTION* macro.
 * testarray is the test array defined by the TESTS_START macro.
 */
#define RUN_FUNCTION_TESTS(funcname, testarray) \
  RUN_TESTS(_test_##funcname, testarray)

/**
 * Runs the tests specified by DEFAULT_TESTS testarray using the test function
 * definition declared with DEFINE_DEFAULT_TEST_FUNCTION macros.
 * funcname is the function name passed to the DEFAULT_TEST_FUNCTION* macro.
 */
#define RUN_DEFAULT_TESTS(funcname) \
  RUN_TESTS(_test_##funcname, _default_tests)

/**
 * Default test functions available.
 */

/**
 * Defines a test function with a default variable name for use with the
 * RUN_DEFAULT_TESTS macro.
 * funcname is the function family to test.
 * behavior is the function's behavior.
 */
#define _DEFINE_DEFAULT_TEST_FUNCTION(funcname, behavior) \
      DEFINE_TEST_FUNCTION(_test_##funcname, funcname, behavior)

/**
 * Defines a test function with a default variable name for use with the
 * RUN_DEFAULT_TESTS macro.  This version is for functions that return
 * a real value.
 * funcname is the function family to test.
 * behavior is the function's behavior.
 */
#define _DEFINE_DEFAULT_TEST_FUNCTION_REAL(funcname, behavior) \
      DEFINE_TEST_FUNCTION_REAL(_test_##funcname, funcname, behavior)

#endif  /* _NEWCOMPLEX_TEST_H */

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