lean2/src/util/numerics/mpq.cpp
Leonardo de Moura 26097475fd Use fullpath in #include directives.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-12 20:04:10 -07:00

120 lines
3 KiB
C++

/*
Copyright (c) 2013 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
*/
#include "util/numerics/mpq.h"
#include "util/numerics/mpbq.h"
namespace lean {
const mpq numeric_traits<mpq>::pi_l((3373259426.0 + 273688.0 / (1<<21)) / (1<<30));
const mpq numeric_traits<mpq>::pi_n((3373259426.0 + 273688.0 / (1<<21)) / (1<<30));
const mpq numeric_traits<mpq>::pi_u((3373259426.0 + 273688.0 / (1<<21)) / (1<<30));
mpq & mpq::operator=(mpbq const & b) {
*this = 2;
power(*this, *this, b.get_k());
inv();
*this *= b.get_numerator();
return *this;
}
int cmp(mpq const & a, mpz const & b) {
if (a.is_integer()) {
return mpz_cmp(mpq_numref(a.m_val), mpq::zval(b));
} else {
static thread_local mpz tmp;
mpz_mul(mpq::zval(tmp), mpq_denref(a.m_val), mpq::zval(b));
return mpz_cmp(mpq_numref(a.m_val), mpq::zval(tmp));
}
}
void mpq::floor() {
if (is_integer())
return;
bool neg = is_neg();
mpz_tdiv_q(mpq_numref(m_val), mpq_numref(m_val), mpq_denref(m_val));
mpz_set_ui(mpq_denref(m_val), 1);
if (neg)
mpz_sub_ui(mpq_numref(m_val), mpq_numref(m_val), 1);
}
void mpq::ceil() {
if (is_integer())
return;
bool pos = is_pos();
mpz_tdiv_q(mpq_numref(m_val), mpq_numref(m_val), mpq_denref(m_val));
mpz_set_ui(mpq_denref(m_val), 1);
if (pos)
mpz_add_ui(mpq_numref(m_val), mpq_numref(m_val), 1);
}
mpz floor(mpq const & a) {
if (a.is_integer())
return a.get_numerator();
mpz r;
mpz_tdiv_q(mpq::zval(r), mpq_numref(a.m_val), mpq_denref(a.m_val));
if (a.is_neg())
--r;
return r;
}
mpz ceil(mpq const & a) {
if (a.is_integer())
return a.get_numerator();
mpz r;
mpz_tdiv_q(mpq::zval(r), mpq_numref(a.m_val), mpq_denref(a.m_val));
if (a.is_pos())
++r;
return r;
}
void power(mpq & a, mpq const & b, unsigned k) {
mpz_pow_ui(mpq_numref(a.m_val), mpq_numref(b.m_val), k);
mpz_pow_ui(mpq_denref(a.m_val), mpq_denref(b.m_val), k);
mpq_canonicalize(a.m_val);
}
extern void display(std::ostream & out, __mpz_struct const * v);
std::ostream & operator<<(std::ostream & out, mpq const & v) {
if (v.is_integer()) {
display(out, mpq_numref(v.m_val));
} else {
display(out, mpq_numref(v.m_val));
out << "/";
display(out, mpq_denref(v.m_val));
}
return out;
}
void display_decimal(std::ostream & out, mpq const & a, unsigned prec) {
mpz n1, d1, v1;
numerator(n1, a);
denominator(d1, a);
if (a.is_neg()) {
out << "-";
n1.neg();
}
v1 = n1 / d1;
out << v1;
n1 = rem(n1, d1);
if (n1.is_zero())
return;
out << ".";
for (unsigned i = 0; i < prec; i++) {
n1 *= 10;
v1 = n1 / d1;
lean_assert(v1 < 10);
out << v1;
n1 = rem(n1, d1);
if (n1.is_zero())
return;
}
out << "?";
}
}
void print(lean::mpq const & v) { std::cout << v << std::endl; }