jacobi 3.1.1

An equality test in the unit tests failed on MacM1, so I relaxed its tolerance.

jacobi 3.1.0

• Elliptic alpha function.

• Rogers-Ramanujan functions.

• Jacobi theta function with characteristics.

• Allows a negative nome.

• Some conformal mappings.

• Nome in function of the parameter.

• The logarithms of the Jacobi theta functions were not in the principal branch.

• The Dedekind eta function is now vectorized.

jacobi 3.0.0

• Changed the expression of the kleinj function in order that its factors avoid a possible float overflow.

• Major changes in the implementation of the Jacobi theta functions, following the new Fortran implementation by Mikael Fremling.

jacobi 2.3.1

• More unit tests.

• The halfPeriods function did not work for a pair of real (numeric) numbers. This has been fixed with the help of as.complex.

jacobi 2.3.0

• Lemniscate elliptic functions.

• Dixon elliptic functions.

jacobi 2.2.0

• Some values of the Jacobi theta functions were wrong as of version 2.1.0.

• Added some unit tests.

• New function halfPeriods, computing the half-periods from the elliptic invariants.

• New function ellipticInvariants, computing the elliptic invariants from the half-periods.

jacobi 2.1.0

• The case when the elliptic invariant g2 is zero is now handled.

• The method computing the half-periods ratio when the elliptic invariants are given led a wrong sign sometimes.

jacobi 2.0.1

• Minor fix in the C++ code.

jacobi 2.0.0

• Weierstrass sigma function.

• Weierstrass zeta function.

• Costa surface.

• Vectorization.

• Better accuracy.

jacobi 1.0.0

First release.