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
|
/*
* Copyright (C) 2000, Imperial College
*
* This file is part of the Imperial College Exact Real Arithmetic Library.
* See the copyright notice included in the distribution for conditions
* of use.
*/
#include <stdio.h>
#include "real.h"
#include "real-impl.h"
/*
* A collection of convenient boolean predicates written in terms of
* more primitive functions defined elsewhere.
*/
Bool
gt_R_QInt(Real x, int a, int b)
{
return gt_R_0(sub_R_QInt(x, a, b));
}
Bool
ltEq_R_0(Real x)
{
return not_B(gt_R_0(x));
}
Bool
ltEq_R_R(Real x, Real y)
{
return ltEq_R_0(sub_R_R(x, y));
}
Bool
lt_R_R(Real x, Real y)
{
return lt_R_0(sub_R_R(x, y));
}
Bool
lt_R_QInt(Real x, int a, int b)
{
return gt_R_0(sub_QInt_R(a, b, x));
}
Bool
lt_R_0(Real x)
{
return not_B(gtEq_R_0(x));
}
Bool
gtEq_R_QInt(Real x, int a, int b)
{
return gtEq_R_0(sub_R_QInt(x, a, b));
}
Bool
ltEq_R_QInt(Real x, int a, int b)
{
return gtEq_R_0(sub_QInt_R(a, b, x));
}
Bool
gtEq_R_R(Real x, Real y)
{
return gtEq_R_0(sub_R_R(x, y));
}
Bool
gt_R_R(Real x, Real y)
{
return gt_R_0(sub_R_R(x, y));
}
|
