-
Notifications
You must be signed in to change notification settings - Fork 3
/
checkdouble.h
240 lines (207 loc) · 6.55 KB
/
checkdouble.h
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
/*
* File: dclxvi-20110718/checkdouble.h
* Author: Ruben Niederhagen, Peter Schwabe
* Public Domain
*/
#ifndef CHECKDOUBLE_H
#define CHECKDOUBLE_H
#include <execinfo.h>
#include <inttypes.h>
#include <memory.h>
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#define MANTISSA_MAX ((1ULL << 53) - 1)
class CheckDouble{
public: double v;
unsigned long long mmax;
CheckDouble()
{
v = NAN;
mmax = MANTISSA_MAX;
}
CheckDouble(const double a)
{
v = a;
mmax = (unsigned long long)fabs(a);
}
CheckDouble(const CheckDouble &a)
{
v = a.v;
mmax = a.mmax;
}
CheckDouble(const double a, const unsigned long long int mmax)
{
v = a;
this->mmax = mmax;
}
CheckDouble operator=(const CheckDouble &a)
{
v = a.v;
mmax = a.mmax;
return *this;
}
int operator==(const CheckDouble &a)const
{
return v == a.v;
}
int operator!=(const CheckDouble &a)const
{
return v != a.v;
}
CheckDouble operator+(const CheckDouble &a)const
{
if((mmax+a.mmax) > MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf + %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
return CheckDouble(a.v+v, mmax+a.mmax);
}
CheckDouble operator+=(const CheckDouble &a)
{
if((mmax+a.mmax) > MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf += %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
v += a.v;
mmax += a.mmax;
return *this;
}
CheckDouble operator-(const CheckDouble &a)const
{
if((mmax+a.mmax) > MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf - %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
return CheckDouble(v-a.v, mmax+a.mmax);
}
CheckDouble operator-=(const CheckDouble &a)
{
if((mmax+a.mmax) > MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf -= %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
v -= a.v;
mmax += a.mmax;
return *this;
}
CheckDouble operator-()const
{
return CheckDouble(-v, mmax);
}
CheckDouble operator*(const CheckDouble &a)const
{
uint64_t l1 = mmax & 0xffffffff;
uint64_t l2 = a.mmax & 0xffffffff;
uint64_t u1 = mmax >> 32;
uint64_t u2 = a.mmax >> 32;
unsigned long long upper = u1 * u2;
if(upper != 0)
{
fprintf(stderr, "Overflow in %lf * %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
unsigned long long mid = l1 * u2 + u1 * l2;
unsigned long long lower = l1 * l2;
if(lower >= MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf * %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
if(mid > (MANTISSA_MAX>>32))
{
fprintf(stderr, "Overflow in %lf * %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
lower += (mid <<32);
if(lower > MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf * %lf\n", v,a.v);
fprintf(stderr, "Maximal values: %llu, %llu\n", mmax,a.mmax);
abort();
}
return CheckDouble(v*a.v, mmax*a.mmax);
}
CheckDouble operator/(const double &a)const
{
if(mmax/fabs(a) > MANTISSA_MAX)
{
fprintf(stderr, "Overflow in %lf / %lf\n", v,a);
fprintf(stderr, "Maximal values: %llu, %lf\n", mmax,a);
abort();
}
return CheckDouble(v/a, mmax/(unsigned long long)fabs(a));
}
CheckDouble operator*=(const int b)
{
CheckDouble op((double) b, abs(b));
*this = *this * op;
return *this;
}
/*
friend CheckDouble operator*(const CheckDouble &a,const int b)
{
CheckDouble op((double) b, abs(b));
return op * a;
}
*/
friend CheckDouble operator*(const int32_t b, const CheckDouble &a)
{
CheckDouble op((double) b, abs(b));
return op * a;
}
friend int operator<(const CheckDouble &op1, const CheckDouble &op2)
{
return op1.v < op2.v;
}
friend int operator<=(const CheckDouble &op1, const CheckDouble &op2)
{
return op1.v <= op2.v;
}
friend int operator>(const CheckDouble &op1, const CheckDouble &op2)
{
return op1.v > op2.v;
}
friend int operator>=(const CheckDouble &op1, const CheckDouble &op2)
{
return op1.v >= op2.v;
}
friend CheckDouble round(const CheckDouble &a)
{
return CheckDouble(round(a.v),a.mmax);
}
friend CheckDouble trunc(const CheckDouble &a)
{
return CheckDouble(trunc(a.v),a.mmax);
}
friend CheckDouble remround(const CheckDouble &a, const double d)
{
double carry = round(a.v/d);
return CheckDouble(a.v - carry*d, (unsigned long long)((d+1)/2));
}
friend long long ftoll(const CheckDouble &arg)
{
return (long long)arg.v;
}
friend void setmax(CheckDouble &arg, unsigned long long max)
{
arg.mmax = max;
}
friend double todouble(const CheckDouble &arg)
{
return arg.v;
}
};
int printfoff(...);
#endif // #ifndef CHECKDOUBLE_H