| /* Test file for mpfr_sqrt. |
| |
| Copyright 1999, 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" |
| |
| #ifdef CHECK_EXTERNAL |
| static int |
| test_sqrt (mpfr_ptr a, mpfr_srcptr b, mp_rnd_t rnd_mode) |
| { |
| int res; |
| int ok = rnd_mode == GMP_RNDN && mpfr_number_p (b); |
| if (ok) |
| { |
| mpfr_print_raw (b); |
| } |
| res = mpfr_sqrt (a, b, rnd_mode); |
| if (ok) |
| { |
| printf (" "); |
| mpfr_print_raw (a); |
| printf ("\n"); |
| } |
| return res; |
| } |
| #else |
| #define test_sqrt mpfr_sqrt |
| #endif |
| |
| static void |
| check3 (const char *as, mp_rnd_t rnd_mode, const char *qs) |
| { |
| mpfr_t q; |
| |
| mpfr_init2 (q, 53); |
| mpfr_set_str1 (q, as); |
| test_sqrt (q, q, rnd_mode); |
| if (mpfr_cmp_str1 (q, qs) ) |
| { |
| printf ("mpfr_sqrt failed for a=%s, rnd_mode=%s\n", |
| as, mpfr_print_rnd_mode (rnd_mode)); |
| printf ("expected sqrt is %s, got ",qs); |
| mpfr_out_str (stdout, 10, 0, q, GMP_RNDN); |
| putchar ('\n'); |
| exit (1); |
| } |
| mpfr_clear (q); |
| } |
| |
| static void |
| check4 (const char *as, mp_rnd_t rnd_mode, const char *Qs) |
| { |
| mpfr_t q; |
| |
| mpfr_init2 (q, 53); |
| mpfr_set_str1 (q, as); |
| test_sqrt (q, q, rnd_mode); |
| if (mpfr_cmp_str (q, Qs, 16, GMP_RNDN)) |
| { |
| printf ("mpfr_sqrt failed for a=%s, rnd_mode=%s\n", |
| as, mpfr_print_rnd_mode(rnd_mode)); |
| printf ("expected "); |
| mpfr_out_str (stdout, 16, 0, q, GMP_RNDN); |
| printf ("\ngot %s\n", Qs); |
| mpfr_clear (q); |
| exit (1); |
| } |
| mpfr_clear (q); |
| } |
| |
| static void |
| check24 (const char *as, mp_rnd_t rnd_mode, const char *qs) |
| { |
| mpfr_t q; |
| |
| mpfr_init2 (q, 24); |
| mpfr_set_str1 (q, as); |
| test_sqrt (q, q, rnd_mode); |
| if (mpfr_cmp_str1 (q, qs)) |
| { |
| printf ("mpfr_sqrt failed for a=%s, prec=24, rnd_mode=%s\n", |
| as, mpfr_print_rnd_mode(rnd_mode)); |
| printf ("expected sqrt is %s, got ",qs); |
| mpfr_out_str (stdout, 10, 0, q, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| mpfr_clear (q); |
| } |
| |
| static void |
| check_diverse (const char *as, mp_prec_t p, const char *qs) |
| { |
| mpfr_t q; |
| |
| mpfr_init2 (q, p); |
| mpfr_set_str1 (q, as); |
| test_sqrt (q, q, GMP_RNDN); |
| if (mpfr_cmp_str1 (q, qs)) |
| { |
| printf ("mpfr_sqrt failed for a=%s, prec=%lu, rnd_mode=%s\n", |
| as, p, mpfr_print_rnd_mode (GMP_RNDN)); |
| printf ("expected sqrt is %s, got ", qs); |
| mpfr_out_str (stdout, 10, 0, q, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| mpfr_clear (q); |
| } |
| |
| /* the following examples come from the paper "Number-theoretic Test |
| Generation for Directed Rounding" from Michael Parks, Table 3 */ |
| static void |
| check_float (void) |
| { |
| check24("70368760954880.0", GMP_RNDN, "8.388609e6"); |
| check24("281474943156224.0", GMP_RNDN, "1.6777215e7"); |
| check24("70368777732096.0", GMP_RNDN, "8.388610e6"); |
| check24("281474909601792.0", GMP_RNDN, "1.6777214e7"); |
| check24("100216216748032.0", GMP_RNDN, "1.0010805e7"); |
| check24("120137273311232.0", GMP_RNDN, "1.0960715e7"); |
| check24("229674600890368.0", GMP_RNDN, "1.5155019e7"); |
| check24("70368794509312.0", GMP_RNDN, "8.388611e6"); |
| check24("281474876047360.0", GMP_RNDN, "1.6777213e7"); |
| check24("91214552498176.0", GMP_RNDN, "9.550631e6"); |
| |
| check24("70368760954880.0", GMP_RNDZ, "8.388608e6"); |
| check24("281474943156224.0", GMP_RNDZ, "1.6777214e7"); |
| check24("70368777732096.0", GMP_RNDZ, "8.388609e6"); |
| check24("281474909601792.0", GMP_RNDZ, "1.6777213e7"); |
| check24("100216216748032.0", GMP_RNDZ, "1.0010805e7"); |
| check24("120137273311232.0", GMP_RNDZ, "1.0960715e7"); |
| check24("229674600890368.0", GMP_RNDZ, "1.5155019e7"); |
| check24("70368794509312.0", GMP_RNDZ, "8.38861e6"); |
| check24("281474876047360.0", GMP_RNDZ, "1.6777212e7"); |
| check24("91214552498176.0", GMP_RNDZ, "9.550631e6"); |
| |
| check24("70368760954880.0", GMP_RNDU, "8.388609e6"); |
| check24("281474943156224.0",GMP_RNDU, "1.6777215e7"); |
| check24("70368777732096.0", GMP_RNDU, "8.388610e6"); |
| check24("281474909601792.0", GMP_RNDU, "1.6777214e7"); |
| check24("100216216748032.0", GMP_RNDU, "1.0010806e7"); |
| check24("120137273311232.0", GMP_RNDU, "1.0960716e7"); |
| check24("229674600890368.0", GMP_RNDU, "1.515502e7"); |
| check24("70368794509312.0", GMP_RNDU, "8.388611e6"); |
| check24("281474876047360.0", GMP_RNDU, "1.6777213e7"); |
| check24("91214552498176.0", GMP_RNDU, "9.550632e6"); |
| |
| check24("70368760954880.0", GMP_RNDD, "8.388608e6"); |
| check24("281474943156224.0", GMP_RNDD, "1.6777214e7"); |
| check24("70368777732096.0", GMP_RNDD, "8.388609e6"); |
| check24("281474909601792.0", GMP_RNDD, "1.6777213e7"); |
| check24("100216216748032.0", GMP_RNDD, "1.0010805e7"); |
| check24("120137273311232.0", GMP_RNDD, "1.0960715e7"); |
| check24("229674600890368.0", GMP_RNDD, "1.5155019e7"); |
| check24("70368794509312.0", GMP_RNDD, "8.38861e6"); |
| check24("281474876047360.0", GMP_RNDD, "1.6777212e7"); |
| check24("91214552498176.0", GMP_RNDD, "9.550631e6"); |
| } |
| |
| static void |
| special (void) |
| { |
| mpfr_t x, y, z; |
| int inexact; |
| mp_prec_t p; |
| |
| mpfr_init (x); |
| mpfr_init (y); |
| mpfr_init (z); |
| |
| mpfr_set_prec (x, 64); |
| mpfr_set_str_binary (x, "1010000010100011011001010101010010001100001101011101110001011001E-1"); |
| mpfr_set_prec (y, 32); |
| test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 2405743844UL)) |
| { |
| printf ("Error for n^2+n+1/2 with n=2405743843\n"); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 65); |
| mpfr_set_str_binary (x, "10100000101000110110010101010100100011000011010111011100010110001E-2"); |
| mpfr_set_prec (y, 32); |
| test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 2405743844UL)) |
| { |
| printf ("Error for n^2+n+1/4 with n=2405743843\n"); |
| mpfr_dump (y); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 66); |
| mpfr_set_str_binary (x, "101000001010001101100101010101001000110000110101110111000101100011E-3"); |
| mpfr_set_prec (y, 32); |
| test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 2405743844UL)) |
| { |
| printf ("Error for n^2+n+1/4+1/8 with n=2405743843\n"); |
| mpfr_dump (y); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 66); |
| mpfr_set_str_binary (x, "101000001010001101100101010101001000110000110101110111000101100001E-3"); |
| mpfr_set_prec (y, 32); |
| test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 2405743843UL)) |
| { |
| printf ("Error for n^2+n+1/8 with n=2405743843\n"); |
| mpfr_dump (y); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 27); |
| mpfr_set_str_binary (x, "0.110100111010101000010001011"); |
| if ((inexact = test_sqrt (x, x, GMP_RNDZ)) >= 0) |
| { |
| printf ("Wrong inexact flag: expected -1, got %d\n", inexact); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 2); |
| for (p=2; p<1000; p++) |
| { |
| mpfr_set_prec (z, p); |
| mpfr_set_ui (z, 1, GMP_RNDN); |
| mpfr_nexttoinf (z); |
| test_sqrt (x, z, GMP_RNDU); |
| if (mpfr_cmp_ui_2exp(x, 3, -1)) |
| { |
| printf ("Error: sqrt(1+ulp(1), up) should give 1.5 (prec=%u)\n", |
| (unsigned int) p); |
| printf ("got "); mpfr_print_binary (x); puts (""); |
| exit (1); |
| } |
| } |
| |
| /* check inexact flag */ |
| mpfr_set_prec (x, 5); |
| mpfr_set_str_binary (x, "1.1001E-2"); |
| if ((inexact = test_sqrt (x, x, GMP_RNDN))) |
| { |
| printf ("Wrong inexact flag: expected 0, got %d\n", inexact); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 2); |
| mpfr_set_prec (z, 2); |
| |
| /* checks the sign is correctly set */ |
| mpfr_set_si (x, 1, GMP_RNDN); |
| mpfr_set_si (z, -1, GMP_RNDN); |
| test_sqrt (z, x, GMP_RNDN); |
| if (mpfr_cmp_ui (z, 0) < 0) |
| { |
| printf ("Error: square root of 1 gives "); |
| mpfr_print_binary(z); |
| putchar('\n'); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 192); |
| mpfr_set_prec (z, 160); |
| mpfr_set_str_binary (z, "0.1011010100000100100100100110011001011100100100000011000111011001011101101101110000110100001000100001100001011000E1"); |
| mpfr_set_prec (x, 160); |
| test_sqrt(x, z, GMP_RNDN); |
| test_sqrt(z, x, GMP_RNDN); |
| |
| mpfr_set_prec (x, 53); |
| mpfr_set_str (x, "8093416094703476.0", 10, GMP_RNDN); |
| mpfr_div_2exp (x, x, 1075, GMP_RNDN); |
| test_sqrt (x, x, GMP_RNDN); |
| mpfr_set_str (z, "1e55596835b5ef@-141", 16, GMP_RNDN); |
| if (mpfr_cmp (x, z)) |
| { |
| printf ("Error: square root of 8093416094703476*2^(-1075)\n"); |
| printf ("expected "); mpfr_dump (z); |
| printf ("got "); mpfr_dump (x); |
| exit (1); |
| } |
| |
| mpfr_set_prec (x, 33); |
| mpfr_set_str_binary (x, "0.111011011011110001100111111001000e-10"); |
| mpfr_set_prec (z, 157); |
| inexact = test_sqrt (z, x, GMP_RNDN); |
| mpfr_set_prec (x, 157); |
| mpfr_set_str_binary (x, "0.11110110101100101111001011100011100011100001101010111011010000100111011000111110100001001011110011111100101110010110010110011001011011010110010000011001101E-5"); |
| if (mpfr_cmp (x, z)) |
| { |
| printf ("Error: square root (1)\n"); |
| exit (1); |
| } |
| if (inexact <= 0) |
| { |
| printf ("Error: wrong inexact flag (1)\n"); |
| exit (1); |
| } |
| |
| /* case prec(result) << prec(input) */ |
| mpfr_set_prec (z, 2); |
| for (p = 2; p < 1000; p++) |
| { |
| mpfr_set_prec (x, p); |
| mpfr_set_ui (x, 1, GMP_RNDN); |
| mpfr_nextabove (x); |
| /* 1.0 < x <= 1.5 thus 1 < sqrt(x) <= 1.23 */ |
| inexact = test_sqrt (z, x, GMP_RNDN); |
| MPFR_ASSERTN(inexact < 0 && mpfr_cmp_ui (z, 1) == 0); |
| inexact = test_sqrt (z, x, GMP_RNDZ); |
| MPFR_ASSERTN(inexact < 0 && mpfr_cmp_ui (z, 1) == 0); |
| inexact = test_sqrt (z, x, GMP_RNDU); |
| MPFR_ASSERTN(inexact > 0 && mpfr_cmp_ui_2exp (z, 3, -1) == 0); |
| inexact = test_sqrt (z, x, GMP_RNDD); |
| MPFR_ASSERTN(inexact < 0 && mpfr_cmp_ui (z, 1) == 0); |
| } |
| |
| /* corner case rw = 0 in rounding to nearest */ |
| mpfr_set_prec (z, BITS_PER_MP_LIMB - 1); |
| mpfr_set_prec (y, BITS_PER_MP_LIMB - 1); |
| mpfr_set_ui (y, 1, GMP_RNDN); |
| mpfr_mul_2exp (y, y, BITS_PER_MP_LIMB - 1, GMP_RNDN); |
| mpfr_nextabove (y); |
| for (p = 2 * BITS_PER_MP_LIMB - 1; p <= 1000; p++) |
| { |
| mpfr_set_prec (x, p); |
| mpfr_set_ui (x, 1, GMP_RNDN); |
| mpfr_set_exp (x, BITS_PER_MP_LIMB); |
| mpfr_add_ui (x, x, 1, GMP_RNDN); |
| /* now x = 2^(BITS_PER_MP_LIMB - 1) + 1 (BITS_PER_MP_LIMB bits) */ |
| MPFR_ASSERTN (mpfr_mul (x, x, x, GMP_RNDN) == 0); /* exact */ |
| inexact = test_sqrt (z, x, GMP_RNDN); |
| /* even rule: z should be 2^(BITS_PER_MP_LIMB - 1) */ |
| MPFR_ASSERTN (inexact < 0); |
| MPFR_ASSERTN (mpfr_cmp_ui_2exp (z, 1, BITS_PER_MP_LIMB - 1) == 0); |
| mpfr_nextbelow (x); |
| /* now x is just below [2^(BITS_PER_MP_LIMB - 1) + 1]^2 */ |
| inexact = test_sqrt (z, x, GMP_RNDN); |
| MPFR_ASSERTN(inexact < 0 && |
| mpfr_cmp_ui_2exp (z, 1, BITS_PER_MP_LIMB - 1) == 0); |
| mpfr_nextabove (x); |
| mpfr_nextabove (x); |
| /* now x is just above [2^(BITS_PER_MP_LIMB - 1) + 1]^2 */ |
| inexact = test_sqrt (z, x, GMP_RNDN); |
| if (mpfr_cmp (z, y)) |
| { |
| printf ("Error for sqrt(x) in rounding to nearest\n"); |
| printf ("x="); mpfr_dump (x); |
| printf ("Expected "); mpfr_dump (y); |
| printf ("Got "); mpfr_dump (z); |
| exit (1); |
| } |
| if (inexact <= 0) |
| { |
| printf ("Wrong inexact flag in corner case for p = %lu\n", (unsigned long) p); |
| exit (1); |
| } |
| } |
| |
| mpfr_set_prec (x, 1000); |
| mpfr_set_ui (x, 9, GMP_RNDN); |
| mpfr_set_prec (y, 10); |
| inexact = test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 3) || inexact != 0) |
| { |
| printf ("Error in sqrt(9:1000) for prec=10\n"); |
| exit (1); |
| } |
| mpfr_set_prec (y, BITS_PER_MP_LIMB); |
| mpfr_nextabove (x); |
| inexact = test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 3) || inexact >= 0) |
| { |
| printf ("Error in sqrt(9:1000) for prec=%d\n", (int) BITS_PER_MP_LIMB); |
| exit (1); |
| } |
| mpfr_set_prec (x, 2 * BITS_PER_MP_LIMB); |
| mpfr_set_prec (y, BITS_PER_MP_LIMB); |
| mpfr_set_ui (y, 1, GMP_RNDN); |
| mpfr_nextabove (y); |
| mpfr_set (x, y, GMP_RNDN); |
| inexact = test_sqrt (y, x, GMP_RNDN); |
| if (mpfr_cmp_ui (y, 1) || inexact >= 0) |
| { |
| printf ("Error in sqrt(1) for prec=%d\n", (int) BITS_PER_MP_LIMB); |
| mpfr_dump (y); |
| exit (1); |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| } |
| |
| static void |
| check_inexact (mp_prec_t p) |
| { |
| mpfr_t x, y, z; |
| mp_rnd_t rnd; |
| int inexact, sign; |
| |
| mpfr_init2 (x, p); |
| mpfr_init2 (y, p); |
| mpfr_init2 (z, 2*p); |
| mpfr_urandomb (x, RANDS); |
| rnd = RND_RAND (); |
| inexact = test_sqrt (y, x, rnd); |
| if (mpfr_mul (z, y, y, rnd)) /* exact since prec(z) = 2*prec(y) */ |
| { |
| printf ("Error: multiplication should be exact\n"); |
| exit (1); |
| } |
| mpfr_sub (z, z, x, rnd); /* exact also */ |
| sign = mpfr_cmp_ui (z, 0); |
| if (((inexact == 0) && (sign)) || |
| ((inexact > 0) && (sign <= 0)) || |
| ((inexact < 0) && (sign >= 0))) |
| { |
| printf ("Error: wrong inexact flag, expected %d, got %d\n", |
| sign, inexact); |
| printf ("x="); |
| mpfr_print_binary (x); |
| printf (" rnd=%s\n", mpfr_print_rnd_mode (rnd)); |
| printf ("y="); mpfr_print_binary (y); puts (""); |
| exit (1); |
| } |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| } |
| |
| static void |
| check_nan (void) |
| { |
| mpfr_t x, got; |
| |
| mpfr_init2 (x, 100L); |
| mpfr_init2 (got, 100L); |
| |
| /* sqrt(NaN) == NaN */ |
| MPFR_CLEAR_FLAGS (x); |
| MPFR_SET_NAN (x); |
| MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */ |
| MPFR_ASSERTN (mpfr_nan_p (got)); |
| |
| /* sqrt(-1) == NaN */ |
| mpfr_set_si (x, -1L, GMP_RNDZ); |
| MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */ |
| MPFR_ASSERTN (mpfr_nan_p (got)); |
| |
| /* sqrt(+inf) == +inf */ |
| MPFR_CLEAR_FLAGS (x); |
| MPFR_SET_INF (x); |
| MPFR_SET_POS (x); |
| MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */ |
| MPFR_ASSERTN (mpfr_inf_p (got)); |
| |
| /* sqrt(-inf) == NaN */ |
| MPFR_CLEAR_FLAGS (x); |
| MPFR_SET_INF (x); |
| MPFR_SET_NEG (x); |
| MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */ |
| MPFR_ASSERTN (mpfr_nan_p (got)); |
| |
| /* sqrt(-0) == 0 */ |
| mpfr_set_si (x, 0L, GMP_RNDZ); |
| MPFR_SET_NEG (x); |
| MPFR_ASSERTN (test_sqrt (got, x, GMP_RNDZ) == 0); /* exact */ |
| MPFR_ASSERTN (mpfr_number_p (got)); |
| MPFR_ASSERTN (mpfr_cmp_ui (got, 0L) == 0); |
| |
| mpfr_clear (x); |
| mpfr_clear (got); |
| } |
| |
| /* check that -1 <= x/sqrt(x^2+y^2) <= 1 for rounding to nearest or up */ |
| static void |
| test_property1 (mp_prec_t p, mp_rnd_t r) |
| { |
| mpfr_t x, y, z, t; |
| |
| mpfr_init2 (x, p); |
| mpfr_init2 (y, p); |
| mpfr_init2 (z, p); |
| mpfr_init2 (t, p); |
| |
| mpfr_urandomb (x, RANDS); |
| mpfr_urandomb (y, RANDS); |
| mpfr_mul (z, x, x, r); |
| mpfr_mul (t, x, x, r); |
| mpfr_add (z, z, t, r); |
| mpfr_sqrt (z, z, r); |
| mpfr_div (z, x, z, r); |
| if (mpfr_cmp_si (z, -1) < 0 || mpfr_cmp_ui (z, 1) > 0) |
| { |
| printf ("Error, -1 <= x/sqrt(x^2+y^2) <= 1 does not hold for r=%s\n", |
| mpfr_print_rnd_mode (r)); |
| printf ("x="); mpfr_dump (x); |
| printf ("y="); mpfr_dump (y); |
| printf ("got "); mpfr_dump (z); |
| exit (1); |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| mpfr_clear (z); |
| mpfr_clear (t); |
| } |
| |
| /* check sqrt(x^2) = x */ |
| static void |
| test_property2 (mp_prec_t p, mp_rnd_t r) |
| { |
| mpfr_t x, y; |
| |
| mpfr_init2 (x, p); |
| mpfr_init2 (y, p); |
| |
| mpfr_urandomb (x, RANDS); |
| mpfr_mul (y, x, x, r); |
| mpfr_sqrt (y, y, r); |
| if (mpfr_cmp (y, x)) |
| { |
| printf ("Error, sqrt(x^2) = x does not hold for r=%s\n", |
| mpfr_print_rnd_mode (r)); |
| printf ("x="); mpfr_dump (x); |
| printf ("got "); mpfr_dump (y); |
| exit (1); |
| } |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| } |
| |
| #define TEST_FUNCTION test_sqrt |
| #define TEST_RANDOM_POS 8 |
| #include "tgeneric.c" |
| |
| int |
| main (void) |
| { |
| mp_prec_t p; |
| int k; |
| |
| tests_start_mpfr (); |
| |
| for (p = MPFR_PREC_MIN; p <= 128; p++) |
| { |
| test_property1 (p, GMP_RNDN); |
| test_property1 (p, GMP_RNDU); |
| test_property2 (p, GMP_RNDN); |
| } |
| |
| check_diverse ("635030154261163106768013773815762607450069292760790610550915652722277604820131530404842415587328", 160, "796887792767063979679855997149887366668464780637"); |
| special (); |
| check_nan (); |
| |
| for (p=2; p<200; p++) |
| for (k=0; k<200; k++) |
| check_inexact (p); |
| check_float(); |
| |
| check3 ("-0.0", GMP_RNDN, "0.0"); |
| check4 ("6.37983013646045901440e+32", GMP_RNDN, "5.9bc5036d09e0c@13"); |
| check4 ("1.0", GMP_RNDN, "1"); |
| check4 ("1.0", GMP_RNDZ, "1"); |
| check4 ("3.725290298461914062500000e-9", GMP_RNDN, "4@-4"); |
| check4 ("3.725290298461914062500000e-9", GMP_RNDZ, "4@-4"); |
| check4 ("1190456976439861.0", GMP_RNDZ, "2.0e7957873529a@6"); |
| check4 ("1219027943874417664.0", GMP_RNDZ, "4.1cf2af0e6a534@7"); |
| /* the following examples are bugs in Cygnus compiler/system, found by |
| Fabrice Rouillier while porting mpfr to Windows */ |
| check4 ("9.89438396044940256501e-134", GMP_RNDU, "8.7af7bf0ebbee@-56"); |
| check4 ("7.86528588050363751914e+31", GMP_RNDZ, "1.f81fc40f32062@13"); |
| check4 ("0.99999999999999988897", GMP_RNDN, "f.ffffffffffff8@-1"); |
| check4 ("1.00000000000000022204", GMP_RNDN, "1"); |
| /* the following examples come from the paper "Number-theoretic Test |
| Generation for Directed Rounding" from Michael Parks, Table 4 */ |
| |
| check4 ("78652858805036375191418371571712.0", GMP_RNDN, |
| "1.f81fc40f32063@13"); |
| check4 ("38510074998589467860312736661504.0", GMP_RNDN, |
| "1.60c012a92fc65@13"); |
| check4 ("35318779685413012908190921129984.0", GMP_RNDN, |
| "1.51d17526c7161@13"); |
| check4 ("26729022595358440976973142425600.0", GMP_RNDN, |
| "1.25e19302f7e51@13"); |
| check4 ("22696567866564242819241453027328.0", GMP_RNDN, |
| "1.0ecea7dd2ec3d@13"); |
| check4 ("22696888073761729132924856434688.0", GMP_RNDN, |
| "1.0ecf250e8e921@13"); |
| check4 ("36055652513981905145251657416704.0", GMP_RNDN, |
| "1.5552f3eedcf33@13"); |
| check4 ("30189856268896404997497182748672.0", GMP_RNDN, |
| "1.3853ee10c9c99@13"); |
| check4 ("36075288240584711210898775080960.0", GMP_RNDN, |
| "1.556abe212b56f@13"); |
| check4 ("72154663483843080704304789585920.0", GMP_RNDN, |
| "1.e2d9a51977e6e@13"); |
| |
| check4 ("78652858805036375191418371571712.0", GMP_RNDZ, |
| "1.f81fc40f32062@13"); |
| check4 ("38510074998589467860312736661504.0", GMP_RNDZ, |
| "1.60c012a92fc64@13"); |
| check4 ("35318779685413012908190921129984.0", GMP_RNDZ, "1.51d17526c716@13"); |
| check4 ("26729022595358440976973142425600.0", GMP_RNDZ, "1.25e19302f7e5@13"); |
| check4 ("22696567866564242819241453027328.0", GMP_RNDZ, |
| "1.0ecea7dd2ec3c@13"); |
| check4 ("22696888073761729132924856434688.0", GMP_RNDZ, "1.0ecf250e8e92@13"); |
| check4 ("36055652513981905145251657416704.0", GMP_RNDZ, |
| "1.5552f3eedcf32@13"); |
| check4 ("30189856268896404997497182748672.0", GMP_RNDZ, |
| "1.3853ee10c9c98@13"); |
| check4 ("36075288240584711210898775080960.0", GMP_RNDZ, |
| "1.556abe212b56e@13"); |
| check4 ("72154663483843080704304789585920.0", GMP_RNDZ, |
| "1.e2d9a51977e6d@13"); |
| |
| check4 ("78652858805036375191418371571712.0", GMP_RNDU, |
| "1.f81fc40f32063@13"); |
| check4 ("38510074998589467860312736661504.0", GMP_RNDU, |
| "1.60c012a92fc65@13"); |
| check4 ("35318779685413012908190921129984.0", GMP_RNDU, |
| "1.51d17526c7161@13"); |
| check4 ("26729022595358440976973142425600.0", GMP_RNDU, |
| "1.25e19302f7e51@13"); |
| check4 ("22696567866564242819241453027328.0", GMP_RNDU, |
| "1.0ecea7dd2ec3d@13"); |
| check4 ("22696888073761729132924856434688.0", GMP_RNDU, |
| "1.0ecf250e8e921@13"); |
| check4 ("36055652513981905145251657416704.0", GMP_RNDU, |
| "1.5552f3eedcf33@13"); |
| check4 ("30189856268896404997497182748672.0", GMP_RNDU, |
| "1.3853ee10c9c99@13"); |
| check4 ("36075288240584711210898775080960.0", GMP_RNDU, |
| "1.556abe212b56f@13"); |
| check4 ("72154663483843080704304789585920.0", GMP_RNDU, |
| "1.e2d9a51977e6e@13"); |
| |
| check4 ("78652858805036375191418371571712.0", GMP_RNDD, |
| "1.f81fc40f32062@13"); |
| check4 ("38510074998589467860312736661504.0", GMP_RNDD, |
| "1.60c012a92fc64@13"); |
| check4 ("35318779685413012908190921129984.0", GMP_RNDD, "1.51d17526c716@13"); |
| check4 ("26729022595358440976973142425600.0", GMP_RNDD, "1.25e19302f7e5@13"); |
| check4 ("22696567866564242819241453027328.0", GMP_RNDD, |
| "1.0ecea7dd2ec3c@13"); |
| check4 ("22696888073761729132924856434688.0", GMP_RNDD, "1.0ecf250e8e92@13"); |
| check4 ("36055652513981905145251657416704.0", GMP_RNDD, |
| "1.5552f3eedcf32@13"); |
| check4 ("30189856268896404997497182748672.0", GMP_RNDD, |
| "1.3853ee10c9c98@13"); |
| check4 ("36075288240584711210898775080960.0", GMP_RNDD, |
| "1.556abe212b56e@13"); |
| check4 ("72154663483843080704304789585920.0", GMP_RNDD, |
| "1.e2d9a51977e6d@13"); |
| |
| test_generic (2, 300, 15); |
| data_check ("data/sqrt", mpfr_sqrt, "mpfr_sqrt"); |
| bad_cases (mpfr_sqrt, mpfr_sqr, "mpfr_sqrt", 8, -256, 255, 4, 128, 800, 50); |
| |
| tests_end_mpfr (); |
| return 0; |
| } |