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Diffstat (limited to 'mpc/tests/tsqr.c')
| -rw-r--r-- | mpc/tests/tsqr.c | 191 |
1 files changed, 191 insertions, 0 deletions
diff --git a/mpc/tests/tsqr.c b/mpc/tests/tsqr.c new file mode 100644 index 0000000000..02fea7ed50 --- /dev/null +++ b/mpc/tests/tsqr.c @@ -0,0 +1,191 @@ +/* tsqr -- test file for mpc_sqr. + +Copyright (C) 2002, 2005, 2008, 2010, 2011 INRIA + +This file is part of GNU MPC. + +GNU MPC 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 3 of the License, or (at your +option) any later version. + +GNU MPC 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 this program. If not, see http://www.gnu.org/licenses/ . +*/ + +#include <stdlib.h> +#include "mpc-tests.h" + +static void +cmpsqr (mpc_srcptr x, mpc_rnd_t rnd) + /* computes the square of x with the specific function or by simple */ + /* multiplication using the rounding mode rnd and compares the results */ + /* and return values. */ + /* In our current test suite, the real and imaginary parts of x have */ + /* the same precision, and we use this precision also for the result. */ + /* Furthermore, we check whether computing the square in the same */ + /* place yields the same result. */ + /* We also compute the result with four times the precision and check */ + /* whether the rounding is correct. Error reports in this part of the */ + /* algorithm might still be wrong, though, since there are two */ + /* consecutive roundings. */ +{ + mpc_t z, t, u; + int inexact_z, inexact_t; + + mpc_init2 (z, MPC_MAX_PREC (x)); + mpc_init2 (t, MPC_MAX_PREC (x)); + mpc_init2 (u, 4 * MPC_MAX_PREC (x)); + + inexact_z = mpc_sqr (z, x, rnd); + inexact_t = mpc_mul (t, x, x, rnd); + + if (mpc_cmp (z, t)) + { + fprintf (stderr, "sqr and mul differ for rnd=(%s,%s) \nx=", + mpfr_print_rnd_mode(MPC_RND_RE(rnd)), + mpfr_print_rnd_mode(MPC_RND_IM(rnd))); + mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr gives "); + mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); + fprintf (stderr, "\nmpc_mul gives "); + mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); + fprintf (stderr, "\n"); + exit (1); + } + if (inexact_z != inexact_t) + { + fprintf (stderr, "The return values of sqr and mul differ for rnd=(%s,%s) \nx= ", + mpfr_print_rnd_mode(MPC_RND_RE(rnd)), + mpfr_print_rnd_mode(MPC_RND_IM(rnd))); + mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); + fprintf (stderr, "\nx^2="); + mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr gives %i", inexact_z); + fprintf (stderr, "\nmpc_mul gives %i", inexact_t); + fprintf (stderr, "\n"); + exit (1); + } + + mpc_set (t, x, MPC_RNDNN); + inexact_t = mpc_sqr (t, t, rnd); + if (mpc_cmp (z, t)) + { + fprintf (stderr, "sqr and sqr in place differ for rnd=(%s,%s) \nx=", + mpfr_print_rnd_mode(MPC_RND_RE(rnd)), + mpfr_print_rnd_mode(MPC_RND_IM(rnd))); + mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr gives "); + mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr in place gives "); + mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); + fprintf (stderr, "\n"); + exit (1); + } + if (inexact_z != inexact_t) + { + fprintf (stderr, "The return values of sqr and sqr in place differ for rnd=(%s,%s) \nx= ", + mpfr_print_rnd_mode(MPC_RND_RE(rnd)), + mpfr_print_rnd_mode(MPC_RND_IM(rnd))); + mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); + fprintf (stderr, "\nx^2="); + mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr gives %i", inexact_z); + fprintf (stderr, "\nmpc_sqr in place gives %i", inexact_t); + fprintf (stderr, "\n"); + exit (1); + } + + mpc_sqr (u, x, rnd); + mpc_set (t, u, rnd); + if (mpc_cmp (z, t)) + { + fprintf (stderr, "rounding in sqr might be incorrect for rnd=(%s,%s) \nx=", + mpfr_print_rnd_mode(MPC_RND_RE(rnd)), + mpfr_print_rnd_mode(MPC_RND_IM(rnd))); + mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr gives "); + mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); + fprintf (stderr, "\nmpc_sqr quadruple precision gives "); + mpc_out_str (stderr, 2, 0, u, MPC_RNDNN); + fprintf (stderr, "\nand is rounded to "); + mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); + fprintf (stderr, "\n"); + exit (1); + } + + mpc_clear (z); + mpc_clear (t); + mpc_clear (u); +} + + +static void +testsqr (long a, long b, mpfr_prec_t prec, mpc_rnd_t rnd) +{ + mpc_t x; + + mpc_init2 (x, prec); + + mpc_set_si_si (x, a, b, rnd); + + cmpsqr (x, rnd); + + mpc_clear (x); +} + + +static void +reuse_bug (void) +{ + mpc_t z1; + + /* reuse bug found by Paul Zimmermann 20081021 */ + mpc_init2 (z1, 2); + /* RE (z1^2) overflows, IM(z^2) = -0 */ + mpfr_set_str (mpc_realref (z1), "0.11", 2, GMP_RNDN); + mpfr_mul_2si (mpc_realref (z1), mpc_realref (z1), mpfr_get_emax (), GMP_RNDN); + mpfr_set_ui (mpc_imagref (z1), 0, GMP_RNDN); + mpc_conj (z1, z1, MPC_RNDNN); + mpc_sqr (z1, z1, MPC_RNDNN); + if (!mpfr_inf_p (mpc_realref (z1)) || mpfr_signbit (mpc_realref (z1)) + ||!mpfr_zero_p (mpc_imagref (z1)) || !mpfr_signbit (mpc_imagref (z1))) + { + printf ("Error: Regression, bug 20081021 reproduced\n"); + MPC_OUT (z1); + exit (1); + } + + mpc_clear (z1); +} + +int +main (void) +{ + DECL_FUNC (CC, f, mpc_sqr); + test_start (); + + testsqr (247, -65, 8, 24); + testsqr (5, -896, 3, 2); + testsqr (-3, -512, 2, 16); + testsqr (266013312, 121990769, 27, 0); + testsqr (170, 9, 8, 0); + testsqr (768, 85, 8, 16); + testsqr (145, 1816, 8, 24); + testsqr (0, 1816, 8, 24); + testsqr (145, 0, 8, 24); + + data_check (f, "sqr.dat"); + tgeneric (f, 2, 1024, 1, 0); + + reuse_bug (); + + test_end (); + + return 0; +} |