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Jacobian elliptic functions

Jacobi's elliptic functions sn(u|m), cn(u|m), dn(i|m) and φ(u|m) are defined by using the incomplete elliptic integral of the first kind:

JacobianEllipticFunctions subroutine calculates these functions using arithmetic-geometric mean algorithm.

This article is intended for personal use only.

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C#

C# source.

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C++

C++ source.

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C++, multiple precision arithmetic

C++ source. MPFR/GMP is used.

GMP source is available from gmplib.org. MPFR source is available from www.mpfr.org.

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FreePascal

FreePascal source.

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Delphi

Delphi source.

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Visual Basic

VBA source.

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