--- /dev/null
+/* Test file for mpfr_atan.
+
+Copyright 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc.
+Contributed by the Arenaire and Cacao projects, INRIA.
+
+This file is part of the GNU MPFR Library.
+
+The GNU MPFR Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 of the License, or (at your
+option) any later version.
+
+The GNU MPFR Library 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 Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the GNU MPFR Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
+MA 02110-1301, USA. */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+static void
+special (void)
+{
+ mpfr_t x, y, z;
+ int r;
+ int i;
+
+ mpfr_init2 (x, 53);
+ mpfr_init2 (y, 53);
+ mpfr_init2 (z, 53);
+
+ mpfr_set_str_binary (x, "1.0000100110000001100111100011001110101110100111011101");
+ mpfr_set_str_binary (y, "1.1001101101110100101100110011011101101000011010111110e-1");
+ mpfr_atan (z, x, GMP_RNDN);
+ if (mpfr_cmp (y, z))
+ {
+ printf ("Error in mpfr_atan for prec=53, rnd=GMP_RNDN\n");
+ printf ("x=");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\nexpected ");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf ("\ngot ");
+ mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ /* atan(+Inf) = Pi/2 */
+ for (r = 0; r < GMP_RND_MAX ; r++)
+ {
+ mpfr_set_inf (x, 1);
+ mpfr_atan (y, x, (mp_rnd_t) r);
+ mpfr_const_pi (x, (mp_rnd_t) r);
+ mpfr_div_2exp (x, x, 1, (mp_rnd_t) r);
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error: mpfr_atan(+Inf), rnd=%s\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) r));
+ exit (1);
+ }
+ }
+
+ /* atan(-Inf) = - Pi/2 */
+ for (r = 0; r < GMP_RND_MAX ; r++)
+ {
+ mpfr_set_inf (x, -1);
+ mpfr_atan (y, x, (mp_rnd_t) r);
+ mpfr_const_pi (x, MPFR_INVERT_RND((mp_rnd_t) r));
+ mpfr_neg (x, x, (mp_rnd_t) r);
+ mpfr_div_2exp (x, x, 1, (mp_rnd_t) r);
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error: mpfr_atan(-Inf), rnd=%s\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) r));
+ exit (1);
+ }
+ }
+
+ /* atan(NaN) = NaN */
+ mpfr_set_nan (x);
+ mpfr_atan (y, x, GMP_RNDN);
+ if (!mpfr_nan_p (y))
+ {
+ printf ("Error: mpfr_atan(NaN) <> NaN\n");
+ exit (1);
+ }
+
+ /* atan(+/-0) = +/-0 */
+ mpfr_set_ui (x, 0, GMP_RNDN);
+ MPFR_SET_NEG (y);
+ mpfr_atan (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y))
+ {
+ printf ("Error: mpfr_atan (+0) <> +0\n");
+ exit (1);
+ }
+ mpfr_atan (x, x, GMP_RNDN);
+ if (mpfr_cmp_ui (x, 0) || MPFR_IS_NEG (x))
+ {
+ printf ("Error: mpfr_atan (+0) <> +0 (in place)\n");
+ exit (1);
+ }
+ mpfr_neg (x, x, GMP_RNDN);
+ MPFR_SET_POS (y);
+ mpfr_atan (y, x, GMP_RNDN);
+ if (mpfr_cmp_ui (y, 0) || MPFR_IS_POS (y))
+ {
+ printf ("Error: mpfr_atan (-0) <> -0\n");
+ exit (1);
+ }
+ mpfr_atan (x, x, GMP_RNDN);
+ if (mpfr_cmp_ui (x, 0) || MPFR_IS_POS (x))
+ {
+ printf ("Error: mpfr_atan (-0) <> -0 (in place)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 32);
+
+ /* test one random positive argument */
+ mpfr_set_str_binary (x, "0.10000100001100101001001001011001");
+ mpfr_atan (x, x, GMP_RNDN);
+ mpfr_set_str_binary (y, "0.1111010000001111001111000000011E-1");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_atan (1)\n");
+ exit (1);
+ }
+
+ /* test one random negative argument */
+ mpfr_set_str_binary (x, "-0.1100001110110000010101011001011");
+ mpfr_atan (x, x, GMP_RNDN);
+ mpfr_set_str_binary (y, "-0.101001110001010010110001110001");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_atan (2)\n");
+ mpfr_print_binary (x); printf ("\n");
+ mpfr_print_binary (y); printf ("\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 3);
+ mpfr_set_prec (y, 192);
+ mpfr_set_prec (z, 192);
+ mpfr_set_str_binary (x, "-0.100e1");
+ mpfr_atan (z, x, GMP_RNDD);
+ mpfr_set_str_binary (y, "-0.110010010000111111011010101000100010000101101000110000100011010011000100110001100110001010001011100000001101110000011100110100010010100100000010010011100000100010001010011001111100110001110101");
+ if (mpfr_cmp (z, y))
+ {
+ printf ("Error in mpfr_atan (3)\n");
+ printf ("Expected "); mpfr_print_binary (y); printf ("\n");
+ printf ("Got "); mpfr_print_binary (z); printf ("\n");
+ exit (1);
+ }
+
+ /* Test regression */
+ mpfr_set_prec (x, 51);
+ mpfr_set_prec (y, 51);
+ mpfr_set_str_binary (x,
+ "0.101100100000101111111010001111111000001000000000000E-11");
+ i = mpfr_atan (y, x, GMP_RNDN);
+ if (mpfr_cmp_str (y,
+ "1.01100100000101111111001110011001010110100100000000e-12", 2, GMP_RNDN)
+ || i >= 0)
+ {
+ printf ("Wrong Regression test (%d)\n", i);
+ mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_set_si (x, -1, GMP_RNDN);
+ mpfr_atan (x, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_NEG (x));
+
+ /* Test regression */
+ mpfr_set_prec (x, 48);
+ mpfr_set_prec (y, 48);
+ mpfr_set_str_binary (x, "1.11001110010000011111100000010000000000000000000e-19");
+ mpfr_atan (y, x, GMP_RNDD);
+ if (mpfr_cmp_str (y, "0.111001110010000011111100000001111111110000010011E-18", 2, GMP_RNDN))
+ {
+ printf ("Error in mpfr_atan (4)\n");
+ printf ("Input 1.11001110010000011111100000010000000000000000000e-19 [prec=48]\n");
+ printf ("Expected 0.111001110010000011111100000001111111110000010011E-18\n");
+ printf ("Got "); mpfr_dump (y);
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+}
+
+#define TEST_FUNCTION mpfr_atan
+#define test_generic test_generic_atan
+#define RAND_FUNCTION(x) (mpfr_urandomb (x, RANDS), mpfr_mul_2si (x, x, (randlimb () %1000-500), GMP_RNDN))
+#include "tgeneric.c"
+
+#define TEST_FUNCTION mpfr_atan2
+#define TWO_ARGS
+#define test_generic test_generic_atan2
+#include "tgeneric.c"
+
+#define TEST_FUNCTION mpfr_atan2
+#define TWO_ARGS
+#define RAND_FUNCTION(x) (mpfr_urandomb (x, RANDS), MPFR_SET_NEG (x))
+#define test_generic test_generic_atan2_neg
+#include "tgeneric.c"
+
+static void
+special_overflow (void)
+{
+ mpfr_t x, y;
+ mp_exp_t emin, emax;
+
+ emin = mpfr_get_emin ();
+ emax = mpfr_get_emax ();
+
+ set_emin (-125);
+ set_emax (128);
+ mpfr_init2 (x, 24);
+ mpfr_init2 (y, 48);
+ mpfr_set_str_binary (x, "0.101101010001001101111010E0");
+ mpfr_atan (y, x, GMP_RNDN);
+ if (mpfr_cmp_str (y, "0.100111011001100111000010111101000111010101011110E0",
+ 2, GMP_RNDN))
+ {
+ printf("Special Overflow error.\n");
+ mpfr_dump (y);
+ exit (1);
+ }
+ mpfr_clear (y);
+ mpfr_clear (x);
+ set_emin (emin);
+ set_emax (emax);
+}
+
+static void
+special_atan2 (void)
+{
+ mpfr_t x, y, z;
+
+ mpfr_inits2 (4, x, y, z, (mpfr_ptr) 0);
+
+ /* Anything with NAN should be set to NAN */
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_set_nan (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_NAN (z));
+ mpfr_swap (x, y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_NAN (z));
+
+ /* 0+ 0+ --> 0+ */
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_POS (z));
+ /* 0- 0+ --> 0- */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_NEG (z));
+ /* 0- 0- --> -PI */
+ MPFR_CHANGE_SIGN (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-3.1415", 10, GMP_RNDN) == 0);
+ /* 0+ 0- --> +PI */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "3.1415", 10, GMP_RNDN) == 0);
+ /* 0+ -1 --> PI */
+ mpfr_set_si (x, -1, GMP_RNDN);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "3.1415", 10, GMP_RNDN) == 0);
+ /* 0- -1 --> -PI */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-3.1415", 10, GMP_RNDN) == 0);
+ /* 0- +1 --> 0- */
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_NEG (z));
+ /* 0+ +1 --> 0+ */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_POS (z));
+ /* +1 0+ --> PI/2 */
+ mpfr_swap (x, y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "1.57075", 10, GMP_RNDN) == 0);
+ /* +1 0- --> PI/2 */
+ MPFR_CHANGE_SIGN (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "1.57075", 10, GMP_RNDN) == 0);
+ /* -1 0- --> -PI/2 */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-1.57075", 10, GMP_RNDN) == 0);
+ /* -1 0+ --> -PI/2 */
+ MPFR_CHANGE_SIGN (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-1.57075", 10, GMP_RNDN) == 0);
+
+ /* -1 +INF --> -0 */
+ MPFR_SET_INF (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_NEG (z));
+ /* +1 +INF --> +0 */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (MPFR_IS_ZERO (z) && MPFR_IS_POS (z));
+ /* +1 -INF --> +PI */
+ MPFR_CHANGE_SIGN (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "3.1415", 10, GMP_RNDN) == 0);
+ /* -1 -INF --> -PI */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-3.1415", 10, GMP_RNDN) == 0);
+ /* -INF -1 --> -PI/2 */
+ mpfr_swap (x, y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-1.57075", 10, GMP_RNDN) == 0);
+ /* +INF -1 --> PI/2 */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "1.57075", 10, GMP_RNDN) == 0);
+ /* +INF -INF --> 3*PI/4 */
+ MPFR_SET_INF (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "2.356194490192344928", 10, GMP_RNDN) == 0);
+ /* +INF +INF --> PI/4 */
+ MPFR_CHANGE_SIGN (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "0.785375", 10, GMP_RNDN) == 0);
+ /* -INF +INF --> -PI/4 */
+ MPFR_CHANGE_SIGN (y);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-0.785375", 10, GMP_RNDN) == 0);
+ /* -INF -INF --> -3*PI/4 */
+ MPFR_CHANGE_SIGN (x);
+ mpfr_atan2 (z, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_cmp_str (z, "-2.356194490192344928", 10, GMP_RNDN) == 0);
+
+ mpfr_clears (x, y, z, (mpfr_ptr) 0);
+}
+
+/* from Christopher Creutzig, 18 Jul 2007 */
+static void
+smallvals_atan2 (void)
+{
+ mpfr_t a, x, y;
+ mp_exp_t old_emin;
+
+ mpfr_inits (a, x, y, (mpfr_ptr) 0);
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_nextbelow (y);
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ /* y=-2^(-emin-1), x=1 */
+
+ mpfr_atan2 (a, y, x, GMP_RNDD);
+ MPFR_ASSERTN (mpfr_equal_p (a, y));
+
+ mpfr_atan2 (a, y, x, GMP_RNDU);
+ MPFR_ASSERTN (mpfr_zero_p (a) && MPFR_IS_NEG(a));
+
+ mpfr_set_prec (x, 8);
+ mpfr_set_prec (y, 8);
+ mpfr_set_prec (a, 8);
+ old_emin = mpfr_get_emin ();
+ mpfr_set_emin (MPFR_EMIN_MIN);
+
+ mpfr_set_si (y, 3, GMP_RNDN);
+ mpfr_set_exp (y, mpfr_get_emin ());
+ mpfr_set_str_binary (x, "1.1");
+ mpfr_atan2 (a, y, x, GMP_RNDU);
+ mpfr_set_si (y, 1, GMP_RNDN);
+ mpfr_set_exp (y, mpfr_get_emin ());
+ MPFR_ASSERTN (mpfr_equal_p (a, y));
+
+ /* From a bug reported by Christopher Creutzig on 2007-08-28.
+ Added test in each rounding mode.
+ Segmentation fault or assertion failure due to an infinite Ziv loop. */
+ mpfr_set_si (y, 1, GMP_RNDN);
+ mpfr_set_exp (y, mpfr_get_emin ());
+ mpfr_set_str_binary (x, "1.01");
+ mpfr_atan2 (a, y, x, GMP_RNDZ);
+ MPFR_ASSERTN (mpfr_zero_p (a));
+ mpfr_atan2 (a, y, x, GMP_RNDD);
+ MPFR_ASSERTN (mpfr_zero_p (a));
+ mpfr_atan2 (a, y, x, GMP_RNDU);
+ MPFR_ASSERTN (mpfr_equal_p (a, y));
+ mpfr_atan2 (a, y, x, GMP_RNDN);
+ MPFR_ASSERTN (mpfr_equal_p (a, y));
+
+ mpfr_set_emin (old_emin);
+
+ mpfr_clears (a, x, y, (mpfr_ptr) 0);
+}
+
+/* Bug found by Robert Bajema (regression in MPFR 2.3.0).
+ The cause is the underflow flag set before the mpfr_atan2 call. */
+static void
+atan2_bug_20071003 (void)
+{
+ mpfr_t a, x, y, z;
+
+ mpfr_inits (a, x, y, z, (mpfr_ptr) 0);
+
+ mpfr_set_underflow ();
+ mpfr_set_str_binary (y,
+ "-0.10100110110100110111010110111111100110100010001110110E2");
+ mpfr_set_str_binary (x,
+ "0.10100101010110010100010010111000110110011110001011110E3");
+ mpfr_set_str_binary (z,
+ "-0.11101111001101101100111011001101000010010111101110110E-1");
+ mpfr_atan2 (a, y, x, GMP_RNDN);
+ if (! mpfr_equal_p (a, z))
+ {
+ printf ("mpfr_atan2 fails on:\n");
+ printf (" y = ");
+ mpfr_dump (y);
+ printf (" x = ");
+ mpfr_dump (x);
+ printf ("Expected ");
+ mpfr_dump (z);
+ printf ("Got ");
+ mpfr_dump (a);
+ exit (1);
+ }
+
+ mpfr_clears (a, x, y, z, (mpfr_ptr) 0);
+}
+
+int
+main (int argc, char *argv[])
+{
+ tests_start_mpfr ();
+
+ special_overflow ();
+ special ();
+ special_atan2 ();
+ smallvals_atan2 ();
+ atan2_bug_20071003 ();
+
+ test_generic_atan (2, 200, 17);
+ test_generic_atan2 (2, 200, 17);
+ test_generic_atan2_neg (2, 200, 17);
+
+ data_check ("data/atan", mpfr_atan, "mpfr_atan");
+ bad_cases (mpfr_atan, mpfr_tan, "mpfr_atan", 256, -40, 1, 4, 128, 800, 40);
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff