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1 | /* Boost test/add.cpp |
2 | * test with symbolic operations if the addition algorithm is correct | |
3 | * | |
4 | * Copyright 2002-2003 Guillaume Melquiond | |
5 | * | |
6 | * Distributed under the Boost Software License, Version 1.0. | |
7 | * (See accompanying file LICENSE_1_0.txt or | |
8 | * copy at http://www.boost.org/LICENSE_1_0.txt) | |
9 | */ | |
10 | ||
11 | #include <boost/numeric/interval/interval.hpp> | |
12 | #include <boost/numeric/interval/arith.hpp> | |
13 | #include <boost/numeric/interval/rounding.hpp> | |
14 | #include <boost/numeric/interval/rounded_arith.hpp> | |
15 | #include <boost/numeric/interval/utility.hpp> | |
16 | #include <boost/numeric/interval/policies.hpp> | |
17 | #include <boost/test/minimal.hpp> | |
18 | #include "bugs.hpp" | |
19 | ||
20 | typedef enum { EXPR_VAR, EXPR_NEG, EXPR_UP, EXPR_DOWN, EXPR_ADD, EXPR_SUB } e_type; | |
21 | ||
22 | struct expr; | |
23 | struct pexpr { | |
24 | expr *ptr; | |
25 | expr* operator->() { return ptr; } | |
26 | pexpr(expr *p = NULL): ptr(p) { } | |
27 | }; | |
28 | ||
29 | struct expr { | |
30 | e_type type; | |
31 | int var; | |
32 | pexpr e; | |
33 | pexpr e1, e2; | |
34 | }; | |
35 | ||
36 | pexpr var(int v) { | |
37 | pexpr e = new expr; | |
38 | e->type = EXPR_VAR; | |
39 | e->var = v; | |
40 | return e; | |
41 | } | |
42 | ||
43 | pexpr operator+(pexpr, pexpr); | |
44 | pexpr operator-(pexpr, pexpr); | |
45 | pexpr operator-(pexpr); | |
46 | ||
47 | pexpr operator+(pexpr a, pexpr b) { | |
48 | if (a->type == EXPR_NEG) return b - a->e; | |
49 | if (b->type == EXPR_NEG) return a - b->e; | |
50 | if (a->type == EXPR_VAR && b->type == EXPR_VAR && a->var > b->var) return b + a; | |
51 | pexpr c = new expr; | |
52 | c->type = EXPR_ADD; | |
53 | c->e1 = a; | |
54 | c->e2 = b; | |
55 | return c; | |
56 | } | |
57 | ||
58 | pexpr operator-(pexpr a, pexpr b) { | |
59 | if (b->type == EXPR_NEG) return a + b->e; | |
60 | pexpr c = new expr; | |
61 | c->type = EXPR_SUB; | |
62 | c->e1 = a; | |
63 | c->e2 = b; | |
64 | return c; | |
65 | } | |
66 | ||
67 | pexpr down(pexpr a) { | |
68 | pexpr e = new expr; | |
69 | e->type = EXPR_DOWN; | |
70 | e->e = a; | |
71 | return e; | |
72 | } | |
73 | ||
74 | pexpr up(pexpr a) { | |
75 | pexpr e = new expr; | |
76 | e->type = EXPR_UP; | |
77 | e->e = a; | |
78 | return e; | |
79 | } | |
80 | ||
81 | pexpr operator-(pexpr a) { | |
82 | if (a->type == EXPR_NEG) return a->e; | |
83 | if (a->type == EXPR_UP) return down(-a->e); | |
84 | if (a->type == EXPR_DOWN) return up(-a->e); | |
85 | if (a->type == EXPR_SUB) return a->e2 - a->e1; | |
86 | if (a->type == EXPR_ADD) return -a->e1 - a->e2; | |
87 | pexpr e = new expr; | |
88 | e->type = EXPR_NEG; | |
89 | e->e = a; | |
90 | return e; | |
91 | } | |
92 | ||
93 | bool operator==(pexpr a, pexpr b) { | |
94 | if (a->type != b->type) return false; | |
95 | if (a->type == EXPR_VAR) return a->var == b->var; | |
96 | if (a->type == EXPR_DOWN || a->type == EXPR_UP || a->type == EXPR_NEG) | |
97 | return a->e == b->e; | |
98 | return a->e1 == b->e1 && a->e2 == b->e2; | |
99 | } | |
100 | ||
101 | bool operator<=(pexpr, pexpr) { return true; } | |
102 | ||
103 | namespace boost { | |
104 | namespace numeric { | |
105 | namespace interval_lib { | |
106 | ||
107 | template<> | |
108 | struct rounding_control<pexpr> { | |
109 | typedef enum { RND_U, RND_M, RND_D } rounding_mode; | |
110 | static rounding_mode mode; | |
111 | rounding_control() { mode = RND_M; } | |
112 | void get_rounding_mode(rounding_mode& m) { m = mode; } | |
113 | void set_rounding_mode(rounding_mode m) { mode = m; } | |
114 | void upward() { mode = RND_U; } | |
115 | void downward() { mode = RND_D; } | |
116 | pexpr force_rounding(pexpr a) { | |
117 | switch (mode) { | |
118 | case RND_U: return up(a); | |
119 | case RND_D: return down(a); | |
120 | default: throw "Unset rounding mode"; | |
121 | } | |
122 | } | |
123 | }; | |
124 | ||
125 | rounding_control<pexpr>::rounding_mode rounding_control<pexpr>::mode = RND_M; | |
126 | ||
127 | } // namespace interval_lib | |
128 | } // namespace numeric | |
129 | } // namespace boost | |
130 | ||
131 | template<class I> | |
132 | bool test_neg() { | |
133 | I a(var(0), var(1)); | |
134 | return equal(-a, I(-var(1), -var(0))); | |
135 | } | |
136 | ||
137 | template<class I> | |
138 | bool test_add() { | |
139 | I a(var(0), var(1)), b(var(2), var(3)); | |
140 | return equal(a + b, I(down(var(0) + var(2)), up(var(1) + var(3)))); | |
141 | } | |
142 | ||
143 | template<class I> | |
144 | bool test_add1() { | |
145 | I a(var(0), var(1)); | |
146 | return equal(a + var(2), I(down(var(0) + var(2)), up(var(1) + var(2)))); | |
147 | } | |
148 | ||
149 | template<class I> | |
150 | bool test_add2() { | |
151 | I a(var(0), var(1)); | |
152 | return equal(var(2) + a, I(down(var(0) + var(2)), up(var(1) + var(2)))); | |
153 | } | |
154 | ||
155 | template<class I> | |
156 | bool test_sub() { | |
157 | I a(var(0), var(1)), b(var(2), var(3)); | |
158 | return equal(a - b, I(down(var(0) - var(3)), up(var(1) - var(2)))); | |
159 | } | |
160 | ||
161 | template<class I> | |
162 | bool test_sub1() { | |
163 | I a(var(0), var(1)); | |
164 | return equal(a - var(2), I(down(var(0) - var(2)), up(var(1) - var(2)))); | |
165 | } | |
166 | ||
167 | template<class I> | |
168 | bool test_sub2() { | |
169 | I a(var(0), var(1)); | |
170 | return equal(var(2) - a, I(down(var(2) - var(1)), up(var(2) - var(0)))); | |
171 | } | |
172 | ||
173 | template<class I> | |
174 | bool test_addeq() { | |
175 | I a(var(0), var(1)), b(var(2), var(3)); | |
176 | return equal(a += b, I(down(var(0) + var(2)), up(var(1) + var(3)))); | |
177 | } | |
178 | ||
179 | template<class I> | |
180 | bool test_addeq1() { | |
181 | I a(var(0), var(1)); | |
182 | return equal(a += var(2), I(down(var(0) + var(2)), up(var(1) + var(2)))); | |
183 | } | |
184 | ||
185 | template<class I> | |
186 | bool test_subeq() { | |
187 | I a(var(0), var(1)), b(var(2), var(3)); | |
188 | return equal(a -= b, I(down(var(0) - var(3)), up(var(1) - var(2)))); | |
189 | } | |
190 | ||
191 | template<class I> | |
192 | bool test_subeq1() { | |
193 | I a(var(0), var(1)); | |
194 | return equal(a -= var(2), I(down(var(0) - var(2)), up(var(1) - var(2)))); | |
195 | } | |
196 | ||
197 | struct my_checking | |
198 | { | |
199 | static pexpr pos_inf() { throw; } | |
200 | static pexpr neg_inf() { throw; } | |
201 | static pexpr nan() { throw; } | |
202 | static bool is_nan(const pexpr&) { return false; } | |
203 | static pexpr empty_lower() { throw; } | |
204 | static pexpr empty_upper() { throw; } | |
205 | static bool is_empty(const pexpr&, const pexpr&) { return false; } | |
206 | }; | |
207 | ||
208 | template<class Rounding> | |
209 | struct my_interval { | |
210 | private: | |
211 | typedef boost::numeric::interval_lib::save_state<Rounding> my_rounding; | |
212 | typedef boost::numeric::interval_lib::policies<my_rounding, my_checking> my_policies; | |
213 | public: | |
214 | typedef boost::numeric::interval<pexpr, my_policies> type; | |
215 | }; | |
216 | ||
217 | int test_main(int, char *[]) { | |
218 | typedef my_interval<boost::numeric::interval_lib::rounded_arith_std<pexpr> >::type I1; | |
219 | typedef my_interval<boost::numeric::interval_lib::rounded_arith_opp<pexpr> >::type I2; | |
220 | BOOST_CHECK((test_neg<I1>())); | |
221 | BOOST_CHECK((test_neg<I2>())); | |
222 | BOOST_CHECK((test_add<I1>())); | |
223 | BOOST_CHECK((test_add<I2>())); | |
224 | BOOST_CHECK((test_add1<I1>())); | |
225 | BOOST_CHECK((test_add1<I2>())); | |
226 | BOOST_CHECK((test_add2<I1>())); | |
227 | BOOST_CHECK((test_add2<I2>())); | |
228 | BOOST_CHECK((test_sub<I1>())); | |
229 | BOOST_CHECK((test_sub<I2>())); | |
230 | BOOST_CHECK((test_sub1<I1>())); | |
231 | BOOST_CHECK((test_sub1<I2>())); | |
232 | BOOST_CHECK((test_sub2<I1>())); | |
233 | BOOST_CHECK((test_sub2<I2>())); | |
234 | BOOST_CHECK((test_addeq<I1>())); | |
235 | BOOST_CHECK((test_addeq<I2>())); | |
236 | BOOST_CHECK((test_addeq1<I1>())); | |
237 | BOOST_CHECK((test_addeq1<I2>())); | |
238 | BOOST_CHECK((test_subeq<I1>())); | |
239 | BOOST_CHECK((test_subeq<I2>())); | |
240 | BOOST_CHECK((test_subeq1<I1>())); | |
241 | BOOST_CHECK((test_subeq1<I2>())); | |
242 | return 0; | |
243 | } |