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◆ _jelli()
| void _jelli |
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double |
u, |
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double |
k, |
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double * |
sn, |
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double * |
cn, |
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double * |
dn |
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Jacobi elliptic functions sn(u, k), cn(u,k), dn(u, k)
- Purpose
- jelli computes the Jacobi elliptic functions sn(u, k), cn(u,k) and dn(u, k).
The functions are defined as follows, given: u = ∫ 1/√(1 - k^2(sin(t))^2) dt [0, φ]
The angle φ is called the amplitude and: sn(u, k) = sinφ
cn(u, k) = cosφ
dn(u, k) = √(1 - k^2(sin(φ))^2)
- Parameters
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| [in] | u | Argument u. |
| [in] | k | Argument k. |
| [out] | sn | sn(u, k) value. |
| [out] | cn | cn(u, k) value. |
| [out] | dn | dn(u, k) value. |
- Error handling
- Range error (ERANGE) may occur.
- Reference
- boost/math/special_functions
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