1/* tsqr -- test file for mpc_sqr. 2 3Copyright (C) 2002, 2005, 2008, 2010, 2011, 2012, 2013 INRIA 4 5This file is part of GNU MPC. 6 7GNU MPC is free software; you can redistribute it and/or modify it under 8the terms of the GNU Lesser General Public License as published by the 9Free Software Foundation; either version 3 of the License, or (at your 10option) any later version. 11 12GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY 13WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS 14FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for 15more details. 16 17You should have received a copy of the GNU Lesser General Public License 18along with this program. If not, see http://www.gnu.org/licenses/ . 19*/ 20 21#include <stdlib.h> 22#include "mpc-tests.h" 23 24static void 25cmpsqr (mpc_srcptr x, mpc_rnd_t rnd) 26 /* computes the square of x with the specific function or by simple */ 27 /* multiplication using the rounding mode rnd and compares the results */ 28 /* and return values. */ 29 /* In our current test suite, the real and imaginary parts of x have */ 30 /* the same precision, and we use this precision also for the result. */ 31 /* Furthermore, we check whether computing the square in the same */ 32 /* place yields the same result. */ 33 /* We also compute the result with four times the precision and check */ 34 /* whether the rounding is correct. Error reports in this part of the */ 35 /* algorithm might still be wrong, though, since there are two */ 36 /* consecutive roundings. */ 37{ 38 mpc_t z, t, u; 39 int inexact_z, inexact_t; 40 41 mpc_init2 (z, MPC_MAX_PREC (x)); 42 mpc_init2 (t, MPC_MAX_PREC (x)); 43 mpc_init2 (u, 4 * MPC_MAX_PREC (x)); 44 45 inexact_z = mpc_sqr (z, x, rnd); 46 inexact_t = mpc_mul (t, x, x, rnd); 47 48 if (mpc_cmp (z, t)) 49 { 50 fprintf (stderr, "sqr and mul differ for rnd=(%s,%s) \nx=", 51 mpfr_print_rnd_mode(MPC_RND_RE(rnd)), 52 mpfr_print_rnd_mode(MPC_RND_IM(rnd))); 53 mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); 54 fprintf (stderr, "\nmpc_sqr gives "); 55 mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); 56 fprintf (stderr, "\nmpc_mul gives "); 57 mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); 58 fprintf (stderr, "\n"); 59 exit (1); 60 } 61 if (inexact_z != inexact_t) 62 { 63 fprintf (stderr, "The return values of sqr and mul differ for rnd=(%s,%s) \nx= ", 64 mpfr_print_rnd_mode(MPC_RND_RE(rnd)), 65 mpfr_print_rnd_mode(MPC_RND_IM(rnd))); 66 mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); 67 fprintf (stderr, "\nx^2="); 68 mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); 69 fprintf (stderr, "\nmpc_sqr gives %i", inexact_z); 70 fprintf (stderr, "\nmpc_mul gives %i", inexact_t); 71 fprintf (stderr, "\n"); 72 exit (1); 73 } 74 75 mpc_set (t, x, MPC_RNDNN); 76 inexact_t = mpc_sqr (t, t, rnd); 77 if (mpc_cmp (z, t)) 78 { 79 fprintf (stderr, "sqr and sqr in place differ for rnd=(%s,%s) \nx=", 80 mpfr_print_rnd_mode(MPC_RND_RE(rnd)), 81 mpfr_print_rnd_mode(MPC_RND_IM(rnd))); 82 mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); 83 fprintf (stderr, "\nmpc_sqr gives "); 84 mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); 85 fprintf (stderr, "\nmpc_sqr in place gives "); 86 mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); 87 fprintf (stderr, "\n"); 88 exit (1); 89 } 90 if (inexact_z != inexact_t) 91 { 92 fprintf (stderr, "The return values of sqr and sqr in place differ for rnd=(%s,%s) \nx= ", 93 mpfr_print_rnd_mode(MPC_RND_RE(rnd)), 94 mpfr_print_rnd_mode(MPC_RND_IM(rnd))); 95 mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); 96 fprintf (stderr, "\nx^2="); 97 mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); 98 fprintf (stderr, "\nmpc_sqr gives %i", inexact_z); 99 fprintf (stderr, "\nmpc_sqr in place gives %i", inexact_t); 100 fprintf (stderr, "\n"); 101 exit (1); 102 } 103 104 mpc_sqr (u, x, rnd); 105 mpc_set (t, u, rnd); 106 if (mpc_cmp (z, t)) 107 { 108 fprintf (stderr, "rounding in sqr might be incorrect for rnd=(%s,%s) \nx=", 109 mpfr_print_rnd_mode(MPC_RND_RE(rnd)), 110 mpfr_print_rnd_mode(MPC_RND_IM(rnd))); 111 mpc_out_str (stderr, 2, 0, x, MPC_RNDNN); 112 fprintf (stderr, "\nmpc_sqr gives "); 113 mpc_out_str (stderr, 2, 0, z, MPC_RNDNN); 114 fprintf (stderr, "\nmpc_sqr quadruple precision gives "); 115 mpc_out_str (stderr, 2, 0, u, MPC_RNDNN); 116 fprintf (stderr, "\nand is rounded to "); 117 mpc_out_str (stderr, 2, 0, t, MPC_RNDNN); 118 fprintf (stderr, "\n"); 119 exit (1); 120 } 121 122 mpc_clear (z); 123 mpc_clear (t); 124 mpc_clear (u); 125} 126 127 128static void 129testsqr (long a, long b, mpfr_prec_t prec, mpc_rnd_t rnd) 130{ 131 mpc_t x; 132 133 mpc_init2 (x, prec); 134 135 mpc_set_si_si (x, a, b, rnd); 136 137 cmpsqr (x, rnd); 138 139 mpc_clear (x); 140} 141 142 143static void 144reuse_bug (void) 145{ 146 mpc_t z1; 147 148 /* reuse bug found by Paul Zimmermann 20081021 */ 149 mpc_init2 (z1, 2); 150 /* RE (z1^2) overflows, IM(z^2) = -0 */ 151 mpfr_set_str (mpc_realref (z1), "0.11", 2, MPFR_RNDN); 152 mpfr_mul_2si (mpc_realref (z1), mpc_realref (z1), mpfr_get_emax (), MPFR_RNDN); 153 mpfr_set_ui (mpc_imagref (z1), 0, MPFR_RNDN); 154 mpc_conj (z1, z1, MPC_RNDNN); 155 mpc_sqr (z1, z1, MPC_RNDNN); 156 if (!mpfr_inf_p (mpc_realref (z1)) || mpfr_signbit (mpc_realref (z1)) 157 ||!mpfr_zero_p (mpc_imagref (z1)) || !mpfr_signbit (mpc_imagref (z1))) 158 { 159 printf ("Error: Regression, bug 20081021 reproduced\n"); 160 MPC_OUT (z1); 161 exit (1); 162 } 163 164 mpc_clear (z1); 165} 166 167#define MPC_FUNCTION_CALL \ 168 P[0].mpc_inex = mpc_sqr (P[1].mpc, P[2].mpc, P[3].mpc_rnd) 169#define MPC_FUNCTION_CALL_REUSE_OP1 \ 170 P[0].mpc_inex = mpc_sqr (P[1].mpc, P[1].mpc, P[3].mpc_rnd) 171 172#include "data_check.tpl" 173#include "tgeneric.tpl" 174 175int 176main (void) 177{ 178 test_start (); 179 180 testsqr (247, -65, 8, 24); 181 testsqr (5, -896, 3, 2); 182 testsqr (-3, -512, 2, 16); 183 testsqr (266013312, 121990769, 27, 0); 184 testsqr (170, 9, 8, 0); 185 testsqr (768, 85, 8, 16); 186 testsqr (145, 1816, 8, 24); 187 testsqr (0, 1816, 8, 24); 188 testsqr (145, 0, 8, 24); 189 190 data_check_template ("sqr.dsc", "sqr.dat"); 191 192 tgeneric_template ("sqr.dsc", 2, 1024, 1, 1024); 193 194 reuse_bug (); 195 196 test_end (); 197 198 return 0; 199} 200