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

//
// A rust binding for the GSL library by Guillaume Gomez (guillaume1.gomez@gmail.com)
//

/*!
The Wigner 3-j, 6-j and 9-j symbols give the coupling coefficients for combined angular momentum vectors.
Since the arguments of the standard coupling coefficient functions are integer or half-integer, the arguments of the following functions
are, by convention, integers equal to twice the actual spin value.
!*/

use crate::Value;
use std::mem::MaybeUninit;

/// This routine computes the Wigner 3-j coefficient,
///
/// (ja jb jc
///  ma mb mc)
///
/// where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
#[doc(alias = "gsl_sf_coupling_3j")]
pub fn _3j(two_ja: i32, two_jb: i32, two_jc: i32, two_ma: i32, two_mb: i32, two_mc: i32) -> f64 {
    unsafe { ::sys::gsl_sf_coupling_3j(two_ja, two_jb, two_jc, two_ma, two_mb, two_mc) }
}

/// This routine computes the Wigner 3-j coefficient,
///
/// (ja jb jc
///  ma mb mc)
///
/// where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
#[doc(alias = "gsl_sf_coupling_3j_e")]
pub fn _3j_e(
    two_ja: i32,
    two_jb: i32,
    two_jc: i32,
    two_ma: i32,
    two_mb: i32,
    two_mc: i32,
) -> (Value, ::types::Result) {
    let mut result = MaybeUninit::<sys::gsl_sf_result>::uninit();
    let ret = unsafe {
        ::sys::gsl_sf_coupling_3j_e(
            two_ja,
            two_jb,
            two_jc,
            two_ma,
            two_mb,
            two_mc,
            result.as_mut_ptr(),
        )
    };

    (::Value::from(ret), unsafe { result.assume_init() }.into())
}

/// This routine computes the Wigner 6-j coefficient,
///
/// {ja jb jc
/// jd je jf}
///
/// where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
#[doc(alias = "gsl_sf_coupling_6j")]
pub fn _6j(two_ja: i32, two_jb: i32, two_jc: i32, two_jd: i32, two_je: i32, two_jf: i32) -> f64 {
    unsafe { ::sys::gsl_sf_coupling_6j(two_ja, two_jb, two_jc, two_jd, two_je, two_jf) }
}

/// This routine computes the Wigner 6-j coefficient,
///
/// {ja jb jc
/// jd je jf}
///
/// where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
#[doc(alias = "gsl_sf_coupling_6j_e")]
pub fn _6j_e(
    two_ja: i32,
    two_jb: i32,
    two_jc: i32,
    two_jd: i32,
    two_je: i32,
    two_jf: i32,
) -> (Value, ::types::Result) {
    let mut result = MaybeUninit::<sys::gsl_sf_result>::uninit();
    let ret = unsafe {
        ::sys::gsl_sf_coupling_6j_e(
            two_ja,
            two_jb,
            two_jc,
            two_jd,
            two_je,
            two_jf,
            result.as_mut_ptr(),
        )
    };

    (::Value::from(ret), unsafe { result.assume_init() }.into())
}

/// This routine computes the Wigner 9-j coefficient,
///
/// {ja jb jc
/// jd je jf
/// jg jh ji}
/// where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
#[doc(alias = "gsl_sf_coupling_9j")]
pub fn _9j(
    two_ja: i32,
    two_jb: i32,
    two_jc: i32,
    two_jd: i32,
    two_je: i32,
    two_jf: i32,
    two_jg: i32,
    two_jh: i32,
    two_ji: i32,
) -> f64 {
    unsafe {
        ::sys::gsl_sf_coupling_9j(
            two_ja, two_jb, two_jc, two_jd, two_je, two_jf, two_jg, two_jh, two_ji,
        )
    }
}

/// This routine computes the Wigner 9-j coefficient,
///
/// {ja jb jc
/// jd je jf
/// jg jh ji}
/// where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
#[doc(alias = "gsl_sf_coupling_9j_e")]
pub fn _9j_e(
    two_ja: i32,
    two_jb: i32,
    two_jc: i32,
    two_jd: i32,
    two_je: i32,
    two_jf: i32,
    two_jg: i32,
    two_jh: i32,
    two_ji: i32,
) -> (Value, ::types::Result) {
    let mut result = MaybeUninit::<sys::gsl_sf_result>::uninit();
    let ret = unsafe {
        ::sys::gsl_sf_coupling_9j_e(
            two_ja,
            two_jb,
            two_jc,
            two_jd,
            two_je,
            two_jf,
            two_jg,
            two_jh,
            two_ji,
            result.as_mut_ptr(),
        )
    };

    (::Value::from(ret), unsafe { result.assume_init() }.into())
}