rip.concepts.mathematics source code

1 module rip.concepts.mathematics;
2 
3 private
4 {
5 	import std.math;
6 
7 	import rip.concepts.templates;
8 
9 	static real RADIAN_IN_DEGREES = 180.0 / PI;
10 	static real DEGREE_IN_RADIANS = PI / 180.0;
11 }
12 
13 // Касинус
14 /++ +/
15 T cas(T)(T x)
16 	if (allArithmetic!T)
17 {
18 	auto argument = cast(real) x;
19 	return cast(T) SQRT2 * cos(x + PI_4);
20 }
21 
22 
23 // Ненормированный кардинальный синус
24 /++ +/
25 T sinc(T)(T x)
26 	if (allArithmetic!T)
27 {
28 	auto argument = cast(real) x;
29 
30 	if (approxEqual(x, 0))
31 	{
32 		return 1;
33 	}
34 	else
35 	{
36 		return sin(x) / x;
37 	}
38 }
39 
40 // Нгормированный кардинальный синус
41 /++ +/
42 T normalizedSinc(T)(T x)
43 	if (allArithmetic!T)
44 {
45 	auto argument = cast(real) x;
46 
47 	if (approxEqual(x, 0))
48 	{
49 		return 1;
50 	}
51 	else
52 	{
53 		return sin(PI * x) / (PI * x);
54 	}
55 }
56 
57 /++ +/
58 T degreesInRadians(T)(T x)
59 	if (allArithmetic!T)
60 {
61 	auto argument = cast(real) x;
62 	return x * DEGREE_IN_RADIANS;
63 }
64 
65 /++ +/
66 T radiansInDegrees(T)(T x)
67 	if (allArithmetic!T)
68 {
69 	auto argument = cast(real) x;
70 	return x * RADIAN_IN_DEGREES;
71 }