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
|
/*
* numerictypes.cpp - part of abakus
* Copyright (C) 2004, 2005 Michael Pyne <[email protected]>
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "numerictypes.h"
#include "hmath.h"
#include <kdebug.h>
#include <tdeglobal.h>
#include <tdelocale.h>
Abakus::TrigMode Abakus::m_trigMode = Abakus::Degrees;
int Abakus::m_prec = -1;
#if HAVE_MPFR
namespace Abakus
{
TQString convertToString(const mpfr_ptr &number)
{
char *str = 0;
TQRegExp zeroKiller ("0*$");
mp_exp_t exp;
int desiredPrecision = Abakus::m_prec;
TQString decimalSymbol = TDEGlobal::locale()->decimalSymbol();
if(desiredPrecision < 0)
desiredPrecision = 8;
// This first call is to see approximately how many digits of precision
// the fractional part has.
str = mpfr_get_str (0, &exp, 10, desiredPrecision, number, GMP_RNDN);
// Check for ginormously small numbers.
if(exp < -74)
return "0";
if(exp < -2 || exp > desiredPrecision)
{
// Use exponential notation.
TQString numbers (str);
mpfr_free_str(str);
TQString sign, l, r;
if(numbers[0] == '-')
{
sign = "-";
l = numbers[1];
r = numbers.right(numbers.length() - 2);
}
else
{
l = numbers[0];
r = numbers.right(numbers.length() - 1);
}
// Remove trailing zeroes.
if(Abakus::m_prec < 0)
r.replace(zeroKiller, "");
// But don't display numbers like 2.e10 either.
if(r.isEmpty())
r = "0";
r.append(TQString("e%1").arg(exp - 1));
return sign + l + decimalSymbol + r;
}
else
{
mpfr_free_str(str);
// This call is to adjust the result so that the fractional part has at
// most m_prec digits of precision.
str = mpfr_get_str (0, &exp, 10, exp + desiredPrecision, number, GMP_RNDN);
}
TQString result = str;
mpfr_free_str(str);
str = 0;
int position = exp;
TQString l, r, sign;
if(position < 0) { // Number < 0.1
l.fill('0', -position);
if(result[0] == '-') {
sign = "-";
r = result.right(result.length() - 1);
}
else
r = result;
r = l + r;
l = '0';
}
else { // Number >= 0.1
if(result[0] == '-') {
l = result.mid(1, position);
sign = "-";
position++;
}
else
l = result.left(position);
r = result.right(result.length() - position);
}
// Remove trailing zeroes.
r.replace(zeroKiller, "");
// Don't display numbers of the form .23
if(l.isEmpty())
l = "0";
// If we have an integer don't display the decimal part.
if(r.isEmpty())
return sign + l;
return sign + l + decimalSymbol + r;
}
} // namespace Abakus
Abakus::number_t::value_type setupPi()
{
static mpfr_t pi;
mpfr_init2 (pi, 250);
mpfr_const_pi (pi, GMP_RNDN);
return pi;
}
Abakus::number_t::value_type setupExponential()
{
static mpfr_t exponential;
mpfr_t one;
mpfr_init2 (exponential, 250);
mpfr_init_set_ui (one, 1, GMP_RNDN);
mpfr_exp (exponential, one, GMP_RNDN);
mpfr_clear (one);
return exponential;
}
const Abakus::number_t::value_type Abakus::number_t::PI = setupPi();
const Abakus::number_t::value_type Abakus::number_t::E = setupExponential();
#else
// Converts hmath number to a string.
namespace Abakus
{
TQString convertToString(const HNumber &num)
{
TQString str = HMath::formatGenString(num, m_prec);
TQString decimalSymbol = TDEGlobal::locale()->decimalSymbol();
str.replace('.', decimalSymbol);
TQStringList parts = TQStringList::split("e", str);
TQRegExp zeroKiller("(" + TQRegExp::escape(decimalSymbol) +
"\\d*[1-9])0*$"); // Remove trailing zeroes.
TQRegExp zeroKiller2("(" + TQRegExp::escape(decimalSymbol) + ")0*$");
str = parts[0];
str.replace(zeroKiller, "\\1");
str.replace(zeroKiller2, "\\1");
if(str.endsWith(decimalSymbol))
str.truncate(str.length() - 1); // Remove trailing period.
if(parts.count() > 1 && parts[1] != "0")
str += TQString("e%1").arg(parts[1]);
return str;
}
} // namespace Abakus.
const Abakus::number_t::value_type Abakus::number_t::PI = HMath::pi();
const Abakus::number_t::value_type Abakus::number_t::E = HMath::exp(1);
#endif /* HAVE_MPFR */
|
