116 lines
2.7 KiB
C++
116 lines
2.7 KiB
C++
/*
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Copyright (c) 2013 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Leonardo de Moura
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*/
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#include "mpq.h"
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#include "mpbq.h"
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namespace lean {
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mpq & mpq::operator=(mpbq const & b) {
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*this = 2;
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power(*this, *this, b.get_k());
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inv();
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*this *= b.get_numerator();
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return *this;
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}
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int cmp(mpq const & a, mpz const & b) {
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if (a.is_integer()) {
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return mpz_cmp(mpq_numref(a.m_val), mpq::zval(b));
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} else {
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static thread_local mpz tmp;
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mpz_mul(mpq::zval(tmp), mpq_denref(a.m_val), mpq::zval(b));
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return mpz_cmp(mpq_numref(a.m_val), mpq::zval(tmp));
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}
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}
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void mpq::floor() {
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if (is_integer())
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return;
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bool neg = is_neg();
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mpz_tdiv_q(mpq_numref(m_val), mpq_numref(m_val), mpq_denref(m_val));
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mpz_set_ui(mpq_denref(m_val), 1);
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if (neg)
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mpz_sub_ui(mpq_numref(m_val), mpq_numref(m_val), 1);
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}
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void mpq::ceil() {
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if (is_integer())
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return;
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bool pos = is_pos();
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mpz_tdiv_q(mpq_numref(m_val), mpq_numref(m_val), mpq_denref(m_val));
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mpz_set_ui(mpq_denref(m_val), 1);
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if (pos)
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mpz_add_ui(mpq_numref(m_val), mpq_numref(m_val), 1);
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}
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mpz floor(mpq const & a) {
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if (a.is_integer())
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return a.get_numerator();
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mpz r;
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mpz_tdiv_q(mpq::zval(r), mpq_numref(a.m_val), mpq_denref(a.m_val));
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if (a.is_neg())
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--r;
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return r;
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}
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mpz ceil(mpq const & a) {
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if (a.is_integer())
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return a.get_numerator();
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mpz r;
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mpz_tdiv_q(mpq::zval(r), mpq_numref(a.m_val), mpq_denref(a.m_val));
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if (a.is_pos())
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++r;
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return r;
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}
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void power(mpq & a, mpq const & b, unsigned k) {
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mpz_pow_ui(mpq_numref(a.m_val), mpq_numref(b.m_val), k);
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mpz_pow_ui(mpq_denref(a.m_val), mpq_denref(b.m_val), k);
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mpq_canonicalize(a.m_val);
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}
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extern void display(std::ostream & out, __mpz_struct const * v);
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std::ostream & operator<<(std::ostream & out, mpq const & v) {
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if (v.is_integer()) {
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display(out, mpq_numref(v.m_val));
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} else {
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display(out, mpq_numref(v.m_val));
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out << "/";
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display(out, mpq_denref(v.m_val));
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}
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return out;
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}
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void display_decimal(std::ostream & out, mpq const & a, unsigned prec) {
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mpz n1, d1, v1;
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numerator(n1, a);
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denominator(d1, a);
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if (a.is_neg()) {
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out << "-";
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neg(n1);
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}
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v1 = n1 / d1;
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out << v1;
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n1 = rem(n1, d1);
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if (n1.is_zero())
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return;
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out << ".";
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for (unsigned i = 0; i < prec; i++) {
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n1 *= 10;
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v1 = n1 / d1;
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lean_assert(v1 < 10);
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out << v1;
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n1 = rem(n1, d1);
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if (n1.is_zero())
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return;
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}
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out << "?";
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}
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}
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void pp(lean::mpq const & v) { std::cout << v << std::endl; }
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