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
|
use strict;
use warnings;
use Config;
use Math::MPFR qw(:mpfr);
use Test::More;
my($have_gmp, $have_mpz, $have_mpq, $have_mpf) = (0, 0, 0, 0);
my $long_double_formats_ok = 1;
if($^O =~ /^MSWin/ && $Config{libc} !~ /ucrt/) {
$long_double_formats_ok = 0 if WIN32_FMT_BUG;
}
eval {require Math::GMP;};
$have_gmp = 1 unless $@;
eval {require Math::GMPz;};
$have_mpz = 1 unless $@;
eval {require Math::GMPq;};
$have_mpq = 1 unless $@;
eval {require Math::GMPf;};
$have_mpf = 1 unless $@;
my $buflen = 32;
my $buf;
my $nv = sqrt(2);
if($Config{nvtype} eq 'double') {
Rmpfr_sprintf($buf, "%.14g", $nv, $buflen);
cmp_ok($buf, 'eq', '1.4142135623731', "sqrt 2 ok for 'double'");
}
if($Config{nvtype} eq 'long double' && $long_double_formats_ok) {
Rmpfr_sprintf($buf, "%.14Lg", $nv, $buflen);
cmp_ok($buf, 'eq', '1.4142135623731', "sqrt 2 ok for 'long double'");
}
Rmpfr_sprintf($buf, "%s", 'hello world', $buflen);
cmp_ok($buf, 'eq', 'hello world', "'hello world' ok for PV");
if($have_gmp) {
Rmpfr_sprintf($buf, "%Zd", Math::GMP->new(~0), $buflen);
cmp_ok($buf, '==', ~0, "Math::GMP: ~0 ok");
}
if($have_mpz) {
Rmpfr_sprintf($buf, "%Zd", Math::GMPz->new(~0), $buflen);
cmp_ok($buf, '==', ~0, "Math::GMPz: ~0 ok");
}
if($have_mpq) {
Rmpfr_sprintf($buf, "%Qd", Math::GMPq->new('19/21'), $buflen);
cmp_ok($buf, 'eq', '19/21', "Math::GMPq: 19/21 ok");
}
if($have_mpf) {
Rmpfr_sprintf($buf, "%.14Fg", sqrt(Math::GMPf->new(2)), $buflen);
cmp_ok($buf, 'eq', '1.4142135623731', "Math::GMPf: sqrt 2 ok");
}
my $fr = Math::MPFR->new($nv);
Rmpfr_sprintf($buf, "%.14RUg", $fr, $buflen);
cmp_ok($buf, 'eq', '1.4142135623731', "Math::MPFR: sqrt 2 ok");
Rmpfr_sprintf($buf, "%.14RDg", $fr, $buflen);
cmp_ok($buf, 'eq', '1.414213562373', "Math::MPFR: sqrt 2 ok");
Rmpfr_sprintf($buf, "%Pd", prec_cast(Rmpfr_get_prec($fr)), $buflen);
cmp_ok($buf, 'eq', '53', "Math::MPFR precision is '53'");
if($Config{nvsize} == 8) {
Rmpfr_sprintf($buf, "%a", sqrt(2), 32);
cmp_ok(Math::MPFR->new($buf), '==', sqrt(2), 'Rmpfr_sprintf() reads "%a" correctly');
Rmpfr_sprintf($buf, "%A", sqrt(2), 32);
cmp_ok(Math::MPFR->new($buf), '==', sqrt(2), 'Rmpfr_sprintf() reads "%A" correctly');
}
elsif($Config{nvtype} ne '__float128') {
my $prec_orig = Rmpfr_get_default_prec();
my $prec = 64;
if(length(sqrt(2)) > 25) { $prec = 113 }
Rmpfr_set_default_prec($prec);
Rmpfr_sprintf($buf, "%La", sqrt(2), 48);
cmp_ok(Math::MPFR->new($buf), '==', sqrt(2), 'Rmpfr_sprintf() reads "%La" correctly');
Rmpfr_sprintf($buf, "%LA", sqrt(2), 48);
cmp_ok(Math::MPFR->new($buf), '==', sqrt(2), 'Rmpfr_sprintf() reads "%LA" correctly');
Rmpfr_set_default_prec($prec_orig);
}
unless($Config{nvtype} eq '__float128') { # print formatting not supported by mpfr library
my $fmt_string = $Math::MPFR::NV_properties{'bits'} == 53 ? "%a"
: "%La";
my $garbage = $Math::MPFR::NV_properties{'bits'} == 53 ? " %%a "
: " %%La ";
my @check = ();
my @expected = ();
my @fmt_strings = ($fmt_string);
push @fmt_strings, "$fmt_string\n";
push @fmt_strings, $garbage . $fmt_string;
push @fmt_strings, $fmt_string . $garbage;
push @fmt_strings, $garbage . $fmt_string . $garbage;
for(0..4) {
my $alt = $fmt_strings[$_];
$alt =~s/a/A/g;
push @fmt_strings, $alt;
}
#for(@fmt_strings) {print "$_\n";}
my $fmt_obj = Rmpfr_init2($Math::MPFR::NV_properties{'bits'});
my $fmt_nv = sqrt(2.0);
Rmpfr_set_NV($fmt_obj, $fmt_nv, MPFR_RNDN);
for (@fmt_strings) {
my $s = $_;
Rmpfr_sprintf($buf, $s, $fmt_nv, 64);
push @check, "|$buf|";
}
if($Math::MPFR::NV_properties{'bits'} == 53) {
@expected = (
"|0x1.6a09e667f3bcdp+0|",
"|0x1.6a09e667f3bcdp+0\n|",
"| %a 0x1.6a09e667f3bcdp+0|",
"|0x1.6a09e667f3bcdp+0 %a |",
"| %a 0x1.6a09e667f3bcdp+0 %a |",
"|0X1.6A09E667F3BCDP+0|",
"|0X1.6A09E667F3BCDP+0\n|",
"| %A 0X1.6A09E667F3BCDP+0|",
"|0X1.6A09E667F3BCDP+0 %A |",
"| %A 0X1.6A09E667F3BCDP+0 %A |",
);
# Annoyingly, we might get an alternative, though numerically equivalent, format.
# I'm not sure tht they're strictly allowed here but we'll accept any one of those
# alternative formats. (The only one I've actually encountered is
# 0xb.504f333f9de68p-3, and its upper case eqivalent on an MSWin32 perl-5.34.0.)
my($alt, $lc_rep, $uc_rep) = ('', '', '');
$alt = 1 if($check[0] ne '|0x1.6a09e667f3bcc908p+0|');
if($alt) {
$lc_rep = '0x2.d413cccfe779ap-1' if $check[0] eq '|0x2.d413cccfe779ap-1|';
$lc_rep = '0x5.a827999fcef34p-2' if $check[0] eq '|0x5.a827999fcef34p-2';
$lc_rep = '0xb.504f333f9de68p-3' if $check[0] eq '|0xb.504f333f9de68p-3|';
$uc_rep = uc($lc_rep) if $lc_rep;
}
for my $index(0..9) {
if($alt && $uc_rep) {
$expected[$index] =~ s/0x1\.6a09e667f3bcdp\+0/$lc_rep/;
$expected[$index] =~ s/0X1\.6A09E667F3BCDP\+0/$uc_rep/;
}
cmp_ok($check[$index], 'eq', $expected[$index], "\$check[$index] eq \$expected[$index]");
}
}
else {
# Correct 64-bit precision "%a" formatting of sqrt(2) can be either:
# 0x1.6a09e667f3bcc908p+0 or 0xb.504f333f9de6484p-3 or 0x5.a827999fcef3242p-2 or 0x2.d413cccfe779921p-1
#
# Correct 113-bit precision "%a" formatting of sqrt(2) produces:
# 0x1.6a09e667f3bcc908b2fb1366ea95p+0
my $expect1 = "0x1.6a09e667f3bcc908p+0";
my $expect2 = "0x2d413cccfe779ap-1";
my $expect3 = "0x5.a827999fcef3242p-2";
my $expect4 = "0xb.504f333f9de6484p-3";
my $expect5 = "0x1.6a09e667f3bcc908b2fb1366ea95p+0";
my ($insert, $INSERT);
if($check[0] =~ /0x1\.6a09e667f3bcc908p\+0/) { $insert = $expect1 }
elsif($check[0] =~ /0x2\.d413cccfe779921p\-1/) { $insert = $expect2 }
elsif($check[0] =~ /0x5\.a827999fcef3242p\-2/) { $insert = $expect3 }
elsif($check[0] =~ /0xb\.504f333f9de6484p\-3/) { $insert = $expect4 }
elsif($check[0] =~ /0x1\.6a09e667f3bcc908b2fb1366ea95p\+0/) { $insert = $expect5 }
else {
# If we haven't already found a valid representation of sqrt(2), then a FAIL should be reported.
cmp_ok($check[0], 'eq', 'satisfactory value found', "Looking for a valid representation of sqrt(2)");
}
$INSERT = uc($insert);
# print "$_\n" for @check;
my @expected = (
"|${insert}|",
"|${insert}\n|",
"| %La ${insert}|",
"|${insert} %La |",
"| %La ${insert} %La |",
"|${INSERT}|",
"|${INSERT}\n|",
"| %LA ${INSERT}|",
"|${INSERT} %LA |",
"| %LA ${INSERT} %LA |",
);
for my $index(0..9) { cmp_ok($check[$index], 'eq', $expected[$index], "\$check[$index] eq \$expected[$index]") }
}
}
done_testing();
|
