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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 18:24:20 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 18:24:20 +0000 |
commit | 483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch) | |
tree | e5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/numeric/interval/test/add.cpp | |
parent | Initial commit. (diff) | |
download | ceph-upstream.tar.xz ceph-upstream.zip |
Adding upstream version 14.2.21.upstream/14.2.21upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/boost/libs/numeric/interval/test/add.cpp')
-rw-r--r-- | src/boost/libs/numeric/interval/test/add.cpp | 243 |
1 files changed, 243 insertions, 0 deletions
diff --git a/src/boost/libs/numeric/interval/test/add.cpp b/src/boost/libs/numeric/interval/test/add.cpp new file mode 100644 index 00000000..73d502b6 --- /dev/null +++ b/src/boost/libs/numeric/interval/test/add.cpp @@ -0,0 +1,243 @@ +/* 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; +} |