|
1
|
|
|
<?php |
|
2
|
|
|
/** |
|
3
|
|
|
* Trait MathAndTrigonometry-C |
|
4
|
|
|
* |
|
5
|
|
|
* @link https://www.icy2003.com/ |
|
6
|
|
|
* @author icy2003 <[email protected]> |
|
7
|
|
|
* @copyright Copyright (c) 2017, icy2003 |
|
8
|
|
|
*/ |
|
9
|
|
|
namespace icy2003\php\icomponents\excel\mathAndTrigonometry; |
|
10
|
|
|
|
|
11
|
|
|
/** |
|
12
|
|
|
* MathAndTrigonometry-C |
|
13
|
|
|
*/ |
|
14
|
|
|
trait CMAT |
|
15
|
|
|
{ |
|
16
|
|
|
|
|
17
|
|
|
/** |
|
18
|
|
|
* 返回将参数 number 向上舍入（沿绝对值增大的方向）为最接近的指定基数的倍数 |
|
19
|
|
|
* |
|
20
|
|
|
* @param double $number 必需。 要舍入的值 |
|
21
|
|
|
* @param double $significance 必需。 要舍入到的倍数 |
|
22
|
|
|
* |
|
23
|
|
|
* @return double |
|
24
|
|
|
*/ |
|
25
|
1 |
|
public static function ceiling($number, $significance = 1) |
|
26
|
|
|
{ |
|
27
|
1 |
|
return is_numeric($number) ? (ceil($number / $significance) * $significance) : false; |
|
|
|
|
|
|
28
|
|
|
} |
|
29
|
|
|
|
|
30
|
|
|
/** |
|
31
|
|
|
* 返回给定数目的项目的组合数 |
|
32
|
|
|
* |
|
33
|
|
|
* - C(m,n) = n! / (m! * (n - m)!)，其中 0 ≤ m ≤ n |
|
34
|
|
|
* |
|
35
|
|
|
* @param integer $n 必需。 项目的数量 |
|
36
|
|
|
* @param integer $m 必需。 每一组合中项目的数量 |
|
37
|
|
|
* |
|
38
|
|
|
* @return integer |
|
39
|
|
|
*/ |
|
40
|
2 |
|
public static function combin($n, $m) |
|
41
|
|
|
{ |
|
42
|
2 |
|
return (self::fact($n) / (self::fact($m) * self::fact($n - $m))); |
|
43
|
|
|
} |
|
44
|
|
|
|
|
45
|
|
|
/** |
|
46
|
|
|
* 返回给定数目的项的组合数（包含重复） |
|
47
|
|
|
* |
|
48
|
|
|
* @param integer $n 必需。 必须大于或等于 0 并大于或等于 m 非整数值将被截尾取整 |
|
49
|
|
|
* @param integer $m 必需。 必须大于或等于 0。 非整数值将被截尾取整 |
|
50
|
|
|
* |
|
51
|
|
|
* @return integer |
|
52
|
|
|
*/ |
|
53
|
1 |
|
public static function combina($n, $m) |
|
54
|
|
|
{ |
|
55
|
1 |
|
return self::combin($n + $m - 1, $n - 1); |
|
56
|
|
|
} |
|
57
|
|
|
|
|
58
|
|
|
/** |
|
59
|
|
|
* 返回已知角度的余弦值 |
|
60
|
|
|
* |
|
61
|
|
|
* @param double $number 必需。 想要求余弦的角度，以弧度表示 |
|
62
|
|
|
* |
|
63
|
|
|
* @return double |
|
64
|
|
|
*/ |
|
65
|
1 |
|
public static function cos($number) |
|
66
|
|
|
{ |
|
67
|
1 |
|
return cos($number); |
|
68
|
|
|
} |
|
69
|
|
|
|
|
70
|
|
|
/** |
|
71
|
|
|
* 返回数字的双曲余弦值 |
|
72
|
|
|
* |
|
73
|
|
|
* - y = cosh(x) = (e^x + e^(-x)) / 2 |
|
74
|
|
|
* |
|
75
|
|
|
* @param double $number 必需。 想要求双曲余弦的任意实数 |
|
76
|
|
|
* |
|
77
|
|
|
* @return double |
|
78
|
|
|
*/ |
|
79
|
|
|
public static function cosh($number) |
|
80
|
|
|
{ |
|
81
|
|
|
return cosh($number); |
|
82
|
|
|
} |
|
83
|
|
|
|
|
84
|
|
|
/** |
|
85
|
|
|
* 返回以弧度表示的角度的余切值 |
|
86
|
|
|
* |
|
87
|
|
|
* @param double $number 必需。 要获得其余切值的角度，以弧度表示 |
|
88
|
|
|
* |
|
89
|
|
|
* @return double |
|
90
|
|
|
*/ |
|
91
|
|
|
public static function cot($number) |
|
92
|
|
|
{ |
|
93
|
|
|
return -tan(pi() / 2 + $number); |
|
94
|
|
|
} |
|
95
|
|
|
|
|
96
|
|
|
/** |
|
97
|
|
|
* 返回一个双曲角度的双曲余切值 |
|
98
|
|
|
* |
|
99
|
|
|
* - y = coth(x) = 1 / tanh(x) = (e^x + e^(-x)) / (e^x - e^(-x)) |
|
100
|
|
|
* |
|
101
|
|
|
* @param double $number 必需 |
|
102
|
|
|
* |
|
103
|
|
|
* @return double |
|
104
|
|
|
*/ |
|
105
|
|
|
public static function coth($number) |
|
106
|
|
|
{ |
|
107
|
|
|
return 1 / tanh($number); |
|
108
|
|
|
} |
|
109
|
|
|
|
|
110
|
|
|
/** |
|
111
|
|
|
* 返回角度的余割值，以弧度表示 |
|
112
|
|
|
* |
|
113
|
|
|
* @param double $number 必需 |
|
114
|
|
|
* |
|
115
|
|
|
* @return double |
|
116
|
|
|
*/ |
|
117
|
|
|
public static function csc($number) |
|
118
|
|
|
{ |
|
119
|
|
|
return 1 / sin($number); |
|
120
|
|
|
} |
|
121
|
|
|
|
|
122
|
|
|
/** |
|
123
|
|
|
* 返回角度的双曲余割值，以弧度表示 |
|
124
|
|
|
* |
|
125
|
|
|
* - y = csch(x) = 1 / sinh(x) = 2 / (e^x - e^(-x)) |
|
126
|
|
|
* |
|
127
|
|
|
* @param double $number 必需 |
|
128
|
|
|
* |
|
129
|
|
|
* @return double |
|
130
|
|
|
*/ |
|
131
|
|
|
public static function csch($number) |
|
132
|
|
|
{ |
|
133
|
|
|
return 1 / sinh($number); |
|
134
|
|
|
} |
|
135
|
|
|
} |
|
136
|
|
|
|
icy2003 /
php
Loading history...