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/*============================================================================= |
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This file is part of ARB. |
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ARB is free software; you can redistribute it and/or modify |
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it under the terms of the GNU General Public License as published by |
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the Free Software Foundation; either version 2 of the License, or |
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(at your option) any later version. |
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ARB is distributed in the hope that it will be useful, |
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but WITHOUT ANY WARRANTY; without even the implied warranty of |
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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GNU General Public License for more details. |
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You should have received a copy of the GNU General Public License |
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along with ARB; if not, write to the Free Software |
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA |
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=============================================================================*/ |
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/****************************************************************************** |
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Copyright (C) 2012, 2013 Fredrik Johansson |
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******************************************************************************/ |
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#include "fmprb_poly.h" |
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int main() |
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{ |
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long iter; |
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flint_rand_t state; |
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printf("mullow_block2...."); |
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fflush(stdout); |
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flint_randinit(state); |
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/* compare with fmpq_poly */ |
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for (iter = 0; iter < 10000; iter++) |
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{ |
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long qbits1, qbits2, rbits1, rbits2, rbits3, trunc; |
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fmpq_poly_t A, B, C; |
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fmprb_poly_t a, b, c, d; |
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qbits1 = 2 + n_randint(state, 1000); |
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qbits2 = 2 + n_randint(state, 1000); |
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rbits1 = 2 + n_randint(state, 1000); |
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rbits2 = 2 + n_randint(state, 1000); |
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rbits3 = 2 + n_randint(state, 1000); |
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trunc = n_randint(state, 100); |
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fmpq_poly_init(A); |
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fmpq_poly_init(B); |
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fmpq_poly_init(C); |
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fmprb_poly_init(a); |
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fmprb_poly_init(b); |
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fmprb_poly_init(c); |
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fmprb_poly_init(d); |
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fmpq_poly_randtest(A, state, 1 + n_randint(state, 100), qbits1); |
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fmpq_poly_randtest(B, state, 1 + n_randint(state, 100), qbits2); |
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fmpq_poly_mullow(C, A, B, trunc); |
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fmprb_poly_set_fmpq_poly(a, A, rbits1); |
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fmprb_poly_set_fmpq_poly(b, B, rbits2); |
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fmprb_poly_mullow_block2(c, a, b, trunc, rbits3); |
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if (!fmprb_poly_contains_fmpq_poly(c, C)) |
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{ |
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printf("FAIL\n\n"); |
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printf("bits3 = %ld\n", rbits3); |
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printf("trunc = %ld\n", trunc); |
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printf("A = "); fmpq_poly_print(A); printf("\n\n"); |
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printf("B = "); fmpq_poly_print(B); printf("\n\n"); |
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printf("C = "); fmpq_poly_print(C); printf("\n\n"); |
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printf("a = "); fmprb_poly_printd(a, 15); printf("\n\n"); |
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printf("b = "); fmprb_poly_printd(b, 15); printf("\n\n"); |
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printf("c = "); fmprb_poly_printd(c, 15); printf("\n\n"); |
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abort(); |
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} |
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fmprb_poly_set(d, a); |
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fmprb_poly_mullow_block2(d, d, b, trunc, rbits3); |
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if (!fmprb_poly_equal(d, c)) |
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{ |
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printf("FAIL (aliasing 1)\n\n"); |
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abort(); |
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} |
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fmprb_poly_set(d, b); |
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fmprb_poly_mullow_block2(d, a, d, trunc, rbits3); |
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if (!fmprb_poly_equal(d, c)) |
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{ |
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printf("FAIL (aliasing 2)\n\n"); |
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abort(); |
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} |
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/* test squaring */ |
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fmprb_poly_set(b, a); |
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fmprb_poly_mullow_block2(c, a, b, trunc, rbits3); |
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fmprb_poly_mullow_block2(d, a, a, trunc, rbits3); |
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if (!fmprb_poly_overlaps(c, d)) /* not guaranteed to be identical */ |
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{ |
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printf("FAIL (squaring)\n\n"); |
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printf("a = "); fmprb_poly_printd(a, 15); printf("\n\n"); |
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printf("b = "); fmprb_poly_printd(b, 15); printf("\n\n"); |
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printf("c = "); fmprb_poly_printd(c, 15); printf("\n\n"); |
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abort(); |
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} |
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fmprb_poly_mullow_block2(a, a, a, trunc, rbits3); |
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if (!fmprb_poly_equal(d, a)) |
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{ |
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printf("FAIL (aliasing, squaring)\n\n"); |
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printf("a = "); fmprb_poly_printd(a, 15); printf("\n\n"); |
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printf("b = "); fmprb_poly_printd(b, 15); printf("\n\n"); |
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printf("d = "); fmprb_poly_printd(d, 15); printf("\n\n"); |
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abort(); |
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} |
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fmpq_poly_clear(A); |
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fmpq_poly_clear(B); |
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fmpq_poly_clear(C); |
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fmprb_poly_clear(a); |
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fmprb_poly_clear(b); |
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fmprb_poly_clear(c); |
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fmprb_poly_clear(d); |
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} |
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for (iter = 0; iter < 3000; iter++) |
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{ |
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long rbits1, rbits2, rbits3, trunc; |
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fmprb_poly_t a, b, c, ab, ac, bc, abc, abc2; |
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rbits1 = 2 + n_randint(state, 300); |
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rbits2 = 2 + n_randint(state, 300); |
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rbits3 = 2 + n_randint(state, 300); |
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trunc = n_randint(state, 100); |
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fmprb_poly_init(a); |
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fmprb_poly_init(b); |
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fmprb_poly_init(c); |
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fmprb_poly_init(ab); |
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fmprb_poly_init(ac); |
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fmprb_poly_init(bc); |
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fmprb_poly_init(abc); |
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fmprb_poly_init(abc2); |
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fmprb_poly_randtest(a, state, 1 + n_randint(state, 100), rbits1, 1 + n_randint(state, 100)); |
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fmprb_poly_randtest(b, state, 1 + n_randint(state, 100), rbits2, 1 + n_randint(state, 100)); |
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fmprb_poly_randtest(c, state, 1 + n_randint(state, 100), rbits2, 1 + n_randint(state, 100)); |
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/* check a*(b+c) = a*b + a*c */ |
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fmprb_poly_mullow_block2(ab, a, b, trunc, rbits3); |
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fmprb_poly_mullow_block2(ac, a, c, trunc, rbits3); |
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fmprb_poly_add(abc, ab, ac, rbits3); |
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fmprb_poly_add(bc, b, c, rbits3); |
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fmprb_poly_mullow_block2(abc2, a, bc, trunc, rbits3); |
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if (!fmprb_poly_overlaps(abc, abc2)) |
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{ |
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printf("FAIL (a*(b+c) = a*b + a*c) \n\n"); |
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printf("bits3 = %ld\n", rbits3); |
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printf("trunc = %ld\n", trunc); |
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printf("a = "); fmprb_poly_printd(a, 15); printf("\n\n"); |
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printf("b = "); fmprb_poly_printd(b, 15); printf("\n\n"); |
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printf("c = "); fmprb_poly_printd(c, 15); printf("\n\n"); |
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abort(); |
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} |
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/* check (b+c)^2 = b^2 + 2bc + c^2 */ |
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fmprb_poly_mullow_block2(a, b, c, trunc, rbits3); |
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fmprb_poly_scalar_mul_2exp_si(a, a, 1); |
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fmprb_poly_mullow_block2(abc, b, b, trunc, rbits3); |
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fmprb_poly_mullow_block2(abc2, c, c, trunc, rbits3); |
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fmprb_poly_add(abc, abc, a, rbits3); |
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fmprb_poly_add(abc, abc, abc2, rbits3); |
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fmprb_poly_mullow_block2(abc2, bc, bc, trunc, rbits3); |
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if (!fmprb_poly_overlaps(abc, abc2)) |
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{ |
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printf("FAIL ((b+c)^2 = b^2 + 2bc + c^2) \n\n"); |
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printf("bits3 = %ld\n", rbits3); |
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printf("trunc = %ld\n", trunc); |
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printf("b = "); fmprb_poly_printd(b, 15); printf("\n\n"); |
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printf("c = "); fmprb_poly_printd(c, 15); printf("\n\n"); |
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printf("abc = "); fmprb_poly_printd(abc, 15); printf("\n\n"); |
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printf("abc2 = "); fmprb_poly_printd(abc2, 15); printf("\n\n"); |
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abort(); |
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} |
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fmprb_poly_clear(a); |
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fmprb_poly_clear(b); |
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fmprb_poly_clear(c); |
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fmprb_poly_clear(ab); |
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fmprb_poly_clear(ac); |
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fmprb_poly_clear(bc); |
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fmprb_poly_clear(abc); |
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fmprb_poly_clear(abc2); |
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} |
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flint_randclear(state); |
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flint_cleanup(); |
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printf("PASS\n"); |
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return EXIT_SUCCESS; |
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} |
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