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- /* Boost test/add.cpp
- * test with symbolic operations if the addition algorithm is correct
- *
- * Copyright 2002-2003 Guillaume Melquiond
- *
- * Distributed under the Boost Software License, Version 1.0.
- * (See accompanying file LICENSE_1_0.txt or
- * copy at http://www.boost.org/LICENSE_1_0.txt)
- */
- #include <boost/numeric/interval/interval.hpp>
- #include <boost/numeric/interval/arith.hpp>
- #include <boost/numeric/interval/rounding.hpp>
- #include <boost/numeric/interval/rounded_arith.hpp>
- #include <boost/numeric/interval/utility.hpp>
- #include <boost/numeric/interval/policies.hpp>
- #include <boost/test/minimal.hpp>
- #include "bugs.hpp"
- typedef enum { EXPR_VAR, EXPR_NEG, EXPR_UP, EXPR_DOWN, EXPR_ADD, EXPR_SUB } e_type;
- struct expr;
- struct pexpr {
- expr *ptr;
- expr* operator->() { return ptr; }
- pexpr(expr *p = NULL): ptr(p) { }
- };
- struct expr {
- e_type type;
- int var;
- pexpr e;
- pexpr e1, e2;
- };
- pexpr var(int v) {
- pexpr e = new expr;
- e->type = EXPR_VAR;
- e->var = v;
- return e;
- }
- pexpr operator+(pexpr, pexpr);
- pexpr operator-(pexpr, pexpr);
- pexpr operator-(pexpr);
- pexpr operator+(pexpr a, pexpr b) {
- if (a->type == EXPR_NEG) return b - a->e;
- if (b->type == EXPR_NEG) return a - b->e;
- if (a->type == EXPR_VAR && b->type == EXPR_VAR && a->var > b->var) return b + a;
- pexpr c = new expr;
- c->type = EXPR_ADD;
- c->e1 = a;
- c->e2 = b;
- return c;
- }
- pexpr operator-(pexpr a, pexpr b) {
- if (b->type == EXPR_NEG) return a + b->e;
- pexpr c = new expr;
- c->type = EXPR_SUB;
- c->e1 = a;
- c->e2 = b;
- return c;
- }
- pexpr down(pexpr a) {
- pexpr e = new expr;
- e->type = EXPR_DOWN;
- e->e = a;
- return e;
- }
- pexpr up(pexpr a) {
- pexpr e = new expr;
- e->type = EXPR_UP;
- e->e = a;
- return e;
- }
- pexpr operator-(pexpr a) {
- if (a->type == EXPR_NEG) return a->e;
- if (a->type == EXPR_UP) return down(-a->e);
- if (a->type == EXPR_DOWN) return up(-a->e);
- if (a->type == EXPR_SUB) return a->e2 - a->e1;
- if (a->type == EXPR_ADD) return -a->e1 - a->e2;
- pexpr e = new expr;
- e->type = EXPR_NEG;
- e->e = a;
- return e;
- }
- bool operator==(pexpr a, pexpr b) {
- if (a->type != b->type) return false;
- if (a->type == EXPR_VAR) return a->var == b->var;
- if (a->type == EXPR_DOWN || a->type == EXPR_UP || a->type == EXPR_NEG)
- return a->e == b->e;
- return a->e1 == b->e1 && a->e2 == b->e2;
- }
- bool operator<=(pexpr, pexpr) { return true; }
- namespace boost {
- namespace numeric {
- namespace interval_lib {
- template<>
- struct rounding_control<pexpr> {
- typedef enum { RND_U, RND_M, RND_D } rounding_mode;
- static rounding_mode mode;
- rounding_control() { mode = RND_M; }
- void get_rounding_mode(rounding_mode& m) { m = mode; }
- void set_rounding_mode(rounding_mode m) { mode = m; }
- void upward() { mode = RND_U; }
- void downward() { mode = RND_D; }
- pexpr force_rounding(pexpr a) {
- switch (mode) {
- case RND_U: return up(a);
- case RND_D: return down(a);
- default: throw "Unset rounding mode";
- }
- }
- };
- rounding_control<pexpr>::rounding_mode rounding_control<pexpr>::mode = RND_M;
- } // namespace interval_lib
- } // namespace numeric
- } // namespace boost
- template<class I>
- bool test_neg() {
- I a(var(0), var(1));
- return equal(-a, I(-var(1), -var(0)));
- }
- template<class I>
- bool test_add() {
- I a(var(0), var(1)), b(var(2), var(3));
- return equal(a + b, I(down(var(0) + var(2)), up(var(1) + var(3))));
- }
- template<class I>
- bool test_add1() {
- I a(var(0), var(1));
- return equal(a + var(2), I(down(var(0) + var(2)), up(var(1) + var(2))));
- }
- template<class I>
- bool test_add2() {
- I a(var(0), var(1));
- return equal(var(2) + a, I(down(var(0) + var(2)), up(var(1) + var(2))));
- }
- template<class I>
- bool test_sub() {
- I a(var(0), var(1)), b(var(2), var(3));
- return equal(a - b, I(down(var(0) - var(3)), up(var(1) - var(2))));
- }
- template<class I>
- bool test_sub1() {
- I a(var(0), var(1));
- return equal(a - var(2), I(down(var(0) - var(2)), up(var(1) - var(2))));
- }
- template<class I>
- bool test_sub2() {
- I a(var(0), var(1));
- return equal(var(2) - a, I(down(var(2) - var(1)), up(var(2) - var(0))));
- }
- template<class I>
- bool test_addeq() {
- I a(var(0), var(1)), b(var(2), var(3));
- return equal(a += b, I(down(var(0) + var(2)), up(var(1) + var(3))));
- }
- template<class I>
- bool test_addeq1() {
- I a(var(0), var(1));
- return equal(a += var(2), I(down(var(0) + var(2)), up(var(1) + var(2))));
- }
- template<class I>
- bool test_subeq() {
- I a(var(0), var(1)), b(var(2), var(3));
- return equal(a -= b, I(down(var(0) - var(3)), up(var(1) - var(2))));
- }
- template<class I>
- bool test_subeq1() {
- I a(var(0), var(1));
- return equal(a -= var(2), I(down(var(0) - var(2)), up(var(1) - var(2))));
- }
- struct my_checking
- {
- static pexpr pos_inf() { throw; }
- static pexpr neg_inf() { throw; }
- static pexpr nan() { throw; }
- static bool is_nan(const pexpr&) { return false; }
- static pexpr empty_lower() { throw; }
- static pexpr empty_upper() { throw; }
- static bool is_empty(const pexpr&, const pexpr&) { return false; }
- };
- template<class Rounding>
- struct my_interval {
- private:
- typedef boost::numeric::interval_lib::save_state<Rounding> my_rounding;
- typedef boost::numeric::interval_lib::policies<my_rounding, my_checking> my_policies;
- public:
- typedef boost::numeric::interval<pexpr, my_policies> type;
- };
- int test_main(int, char *[]) {
- typedef my_interval<boost::numeric::interval_lib::rounded_arith_std<pexpr> >::type I1;
- typedef my_interval<boost::numeric::interval_lib::rounded_arith_opp<pexpr> >::type I2;
- BOOST_CHECK((test_neg<I1>()));
- BOOST_CHECK((test_neg<I2>()));
- BOOST_CHECK((test_add<I1>()));
- BOOST_CHECK((test_add<I2>()));
- BOOST_CHECK((test_add1<I1>()));
- BOOST_CHECK((test_add1<I2>()));
- BOOST_CHECK((test_add2<I1>()));
- BOOST_CHECK((test_add2<I2>()));
- BOOST_CHECK((test_sub<I1>()));
- BOOST_CHECK((test_sub<I2>()));
- BOOST_CHECK((test_sub1<I1>()));
- BOOST_CHECK((test_sub1<I2>()));
- BOOST_CHECK((test_sub2<I1>()));
- BOOST_CHECK((test_sub2<I2>()));
- BOOST_CHECK((test_addeq<I1>()));
- BOOST_CHECK((test_addeq<I2>()));
- BOOST_CHECK((test_addeq1<I1>()));
- BOOST_CHECK((test_addeq1<I2>()));
- BOOST_CHECK((test_subeq<I1>()));
- BOOST_CHECK((test_subeq<I2>()));
- BOOST_CHECK((test_subeq1<I1>()));
- BOOST_CHECK((test_subeq1<I2>()));
- return 0;
- }
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