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-rw-r--r--tests/test-float.c384
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diff --git a/tests/test-float.c b/tests/test-float.c
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-/* Test of <float.h> substitute.
- Copyright (C) 2011-2015 Free Software Foundation, Inc.
-
- This program is free software: you can redistribute it and/or modify
- it under the terms of the GNU General Public License as published by
- the Free Software Foundation; either version 3 of the License, or
- (at your option) any later version.
-
- This program is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- GNU General Public License for more details.
-
- You should have received a copy of the GNU General Public License
- along with this program. If not, see <http://www.gnu.org/licenses/>. */
-
-/* Written by Bruno Haible <bruno@clisp.org>, 2011. */
-
-#include <config.h>
-
-#include <float.h>
-
-#include "fpucw.h"
-#include "macros.h"
-
-/* Check that FLT_RADIX is a constant expression. */
-int a[] = { FLT_RADIX };
-
-#if FLT_RADIX == 2
-
-/* Return 2^n. */
-static float
-pow2f (int n)
-{
- int k = n;
- volatile float x = 1;
- volatile float y = 2;
- /* Invariant: 2^n == x * y^k. */
- if (k < 0)
- {
- y = 0.5f;
- k = - k;
- }
- while (k > 0)
- {
- if (k != 2 * (k / 2))
- {
- x = x * y;
- k = k - 1;
- }
- if (k == 0)
- break;
- y = y * y;
- k = k / 2;
- }
- /* Now k == 0, hence x == 2^n. */
- return x;
-}
-
-/* Return 2^n. */
-static double
-pow2d (int n)
-{
- int k = n;
- volatile double x = 1;
- volatile double y = 2;
- /* Invariant: 2^n == x * y^k. */
- if (k < 0)
- {
- y = 0.5;
- k = - k;
- }
- while (k > 0)
- {
- if (k != 2 * (k / 2))
- {
- x = x * y;
- k = k - 1;
- }
- if (k == 0)
- break;
- y = y * y;
- k = k / 2;
- }
- /* Now k == 0, hence x == 2^n. */
- return x;
-}
-
-/* Return 2^n. */
-static long double
-pow2l (int n)
-{
- int k = n;
- volatile long double x = 1;
- volatile long double y = 2;
- /* Invariant: 2^n == x * y^k. */
- if (k < 0)
- {
- y = 0.5L;
- k = - k;
- }
- while (k > 0)
- {
- if (k != 2 * (k / 2))
- {
- x = x * y;
- k = k - 1;
- }
- if (k == 0)
- break;
- y = y * y;
- k = k / 2;
- }
- /* Now k == 0, hence x == 2^n. */
- return x;
-}
-
-/* ----------------------- Check macros for 'float' ----------------------- */
-
-/* Check that the FLT_* macros expand to constant expressions. */
-int fb[] =
- {
- FLT_MANT_DIG, FLT_MIN_EXP, FLT_MAX_EXP,
- FLT_DIG, FLT_MIN_10_EXP, FLT_MAX_10_EXP
- };
-float fc[] = { FLT_EPSILON, FLT_MIN, FLT_MAX };
-
-static void
-test_float (void)
-{
- /* Check that the value of FLT_MIN_EXP is well parenthesized. */
- ASSERT ((FLT_MIN_EXP % 101111) == (FLT_MIN_EXP) % 101111);
-
- /* Check that the value of DBL_MIN_10_EXP is well parenthesized. */
- ASSERT ((FLT_MIN_10_EXP % 101111) == (FLT_MIN_10_EXP) % 101111);
-
- /* Check that 'float' is as specified in IEEE 754. */
- ASSERT (FLT_MANT_DIG == 24);
- ASSERT (FLT_MIN_EXP == -125);
- ASSERT (FLT_MAX_EXP == 128);
-
- /* Check the value of FLT_MIN_10_EXP. */
- ASSERT (FLT_MIN_10_EXP == - (int) (- (FLT_MIN_EXP - 1) * 0.30103));
-
- /* Check the value of FLT_DIG. */
- ASSERT (FLT_DIG == (int) ((FLT_MANT_DIG - 1) * 0.30103));
-
- /* Check the value of FLT_MIN_10_EXP. */
- ASSERT (FLT_MIN_10_EXP == - (int) (- (FLT_MIN_EXP - 1) * 0.30103));
-
- /* Check the value of FLT_MAX_10_EXP. */
- ASSERT (FLT_MAX_10_EXP == (int) (FLT_MAX_EXP * 0.30103));
-
- /* Check the value of FLT_MAX. */
- {
- volatile float m = FLT_MAX;
- int n;
-
- ASSERT (m + m > m);
- for (n = 0; n <= 2 * FLT_MANT_DIG; n++)
- {
- volatile float pow2_n = pow2f (n); /* 2^n */
- volatile float x = m + (m / pow2_n);
- if (x > m)
- ASSERT (x + x == x);
- else
- ASSERT (!(x + x == x));
- }
- }
-
- /* Check the value of FLT_MIN. */
- {
- volatile float m = FLT_MIN;
- volatile float x = pow2f (FLT_MIN_EXP - 1);
- ASSERT (m == x);
- }
-
- /* Check the value of FLT_EPSILON. */
- {
- volatile float e = FLT_EPSILON;
- volatile float me;
- int n;
-
- me = 1.0f + e;
- ASSERT (me > 1.0f);
- ASSERT (me - 1.0f == e);
- for (n = 0; n <= 2 * FLT_MANT_DIG; n++)
- {
- volatile float half_n = pow2f (- n); /* 2^-n */
- volatile float x = me - half_n;
- if (x < me)
- ASSERT (x <= 1.0f);
- }
- }
-}
-
-/* ----------------------- Check macros for 'double' ----------------------- */
-
-/* Check that the DBL_* macros expand to constant expressions. */
-int db[] =
- {
- DBL_MANT_DIG, DBL_MIN_EXP, DBL_MAX_EXP,
- DBL_DIG, DBL_MIN_10_EXP, DBL_MAX_10_EXP
- };
-double dc[] = { DBL_EPSILON, DBL_MIN, DBL_MAX };
-
-static void
-test_double (void)
-{
- /* Check that the value of DBL_MIN_EXP is well parenthesized. */
- ASSERT ((DBL_MIN_EXP % 101111) == (DBL_MIN_EXP) % 101111);
-
- /* Check that the value of DBL_MIN_10_EXP is well parenthesized. */
- ASSERT ((DBL_MIN_10_EXP % 101111) == (DBL_MIN_10_EXP) % 101111);
-
- /* Check that 'double' is as specified in IEEE 754. */
- ASSERT (DBL_MANT_DIG == 53);
- ASSERT (DBL_MIN_EXP == -1021);
- ASSERT (DBL_MAX_EXP == 1024);
-
- /* Check the value of DBL_MIN_10_EXP. */
- ASSERT (DBL_MIN_10_EXP == - (int) (- (DBL_MIN_EXP - 1) * 0.30103));
-
- /* Check the value of DBL_DIG. */
- ASSERT (DBL_DIG == (int) ((DBL_MANT_DIG - 1) * 0.30103));
-
- /* Check the value of DBL_MIN_10_EXP. */
- ASSERT (DBL_MIN_10_EXP == - (int) (- (DBL_MIN_EXP - 1) * 0.30103));
-
- /* Check the value of DBL_MAX_10_EXP. */
- ASSERT (DBL_MAX_10_EXP == (int) (DBL_MAX_EXP * 0.30103));
-
- /* Check the value of DBL_MAX. */
- {
- volatile double m = DBL_MAX;
- int n;
-
- ASSERT (m + m > m);
- for (n = 0; n <= 2 * DBL_MANT_DIG; n++)
- {
- volatile double pow2_n = pow2d (n); /* 2^n */
- volatile double x = m + (m / pow2_n);
- if (x > m)
- ASSERT (x + x == x);
- else
- ASSERT (!(x + x == x));
- }
- }
-
- /* Check the value of DBL_MIN. */
- {
- volatile double m = DBL_MIN;
- volatile double x = pow2d (DBL_MIN_EXP - 1);
- ASSERT (m == x);
- }
-
- /* Check the value of DBL_EPSILON. */
- {
- volatile double e = DBL_EPSILON;
- volatile double me;
- int n;
-
- me = 1.0 + e;
- ASSERT (me > 1.0);
- ASSERT (me - 1.0 == e);
- for (n = 0; n <= 2 * DBL_MANT_DIG; n++)
- {
- volatile double half_n = pow2d (- n); /* 2^-n */
- volatile double x = me - half_n;
- if (x < me)
- ASSERT (x <= 1.0);
- }
- }
-}
-
-/* -------------------- Check macros for 'long double' -------------------- */
-
-/* Check that the LDBL_* macros expand to constant expressions. */
-int lb[] =
- {
- LDBL_MANT_DIG, LDBL_MIN_EXP, LDBL_MAX_EXP,
- LDBL_DIG, LDBL_MIN_10_EXP, LDBL_MAX_10_EXP
- };
-long double lc1 = LDBL_EPSILON;
-long double lc2 = LDBL_MIN;
-#if 0 /* LDBL_MAX is not a constant expression on some platforms. */
-long double lc3 = LDBL_MAX;
-#endif
-
-static void
-test_long_double (void)
-{
- /* Check that the value of LDBL_MIN_EXP is well parenthesized. */
- ASSERT ((LDBL_MIN_EXP % 101111) == (LDBL_MIN_EXP) % 101111);
-
- /* Check that the value of LDBL_MIN_10_EXP is well parenthesized. */
- ASSERT ((LDBL_MIN_10_EXP % 101111) == (LDBL_MIN_10_EXP) % 101111);
-
- /* Check that 'long double' is at least as wide as 'double'. */
- ASSERT (LDBL_MANT_DIG >= DBL_MANT_DIG);
- ASSERT (LDBL_MIN_EXP - LDBL_MANT_DIG <= DBL_MIN_EXP - DBL_MANT_DIG);
- ASSERT (LDBL_MAX_EXP >= DBL_MAX_EXP);
-
- /* Check the value of LDBL_DIG. */
- ASSERT (LDBL_DIG == (int)((LDBL_MANT_DIG - 1) * 0.30103));
-
- /* Check the value of LDBL_MIN_10_EXP. */
- ASSERT (LDBL_MIN_10_EXP == - (int) (- (LDBL_MIN_EXP - 1) * 0.30103));
-
- /* Check the value of LDBL_MAX_10_EXP. */
- ASSERT (LDBL_MAX_10_EXP == (int) (LDBL_MAX_EXP * 0.30103));
-
- /* Check the value of LDBL_MAX. */
- {
- volatile long double m = LDBL_MAX;
- int n;
-
- ASSERT (m + m > m);
- for (n = 0; n <= 2 * LDBL_MANT_DIG; n++)
- {
- volatile long double pow2_n = pow2l (n); /* 2^n */
- volatile long double x = m + (m / pow2_n);
- if (x > m)
- ASSERT (x + x == x);
- else
- ASSERT (!(x + x == x));
- }
- }
-
- /* Check the value of LDBL_MIN. */
- {
- volatile long double m = LDBL_MIN;
- volatile long double x = pow2l (LDBL_MIN_EXP - 1);
- ASSERT (m == x);
- }
-
- /* Check the value of LDBL_EPSILON. */
- {
- volatile long double e = LDBL_EPSILON;
- volatile long double me;
- int n;
-
- me = 1.0L + e;
- ASSERT (me > 1.0L);
- ASSERT (me - 1.0L == e);
- for (n = 0; n <= 2 * LDBL_MANT_DIG; n++)
- {
- volatile long double half_n = pow2l (- n); /* 2^-n */
- volatile long double x = me - half_n;
- if (x < me)
- ASSERT (x <= 1.0L);
- }
- }
-}
-
-int
-main ()
-{
- test_float ();
- test_double ();
-
- {
- DECL_LONG_DOUBLE_ROUNDING
-
- BEGIN_LONG_DOUBLE_ROUNDING ();
-
- test_long_double ();
-
- END_LONG_DOUBLE_ROUNDING ();
- }
-
- return 0;
-}
-
-#else
-
-int
-main ()
-{
- fprintf (stderr, "Skipping test: FLT_RADIX is not 2.\n");
- return 77;
-}
-
-#endif
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