Add Calcium support for complete elliptic integrals #2302
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lgoetzfried
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src/ca_field/build_ideal_elliptic.c
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| ulong* exp = (ulong*) flint_malloc(len * sizeof(ulong)); | ||
| if (exp != NULL){ |
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You can always assume that exp != NULL.
src/ca_field/build_ideal_elliptic.c
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| ulong exp[len]; | ||
| for (slong v = 0; v < len; v++){ | ||
| exp[v] = 0; | ||
| ulong* exp = (ulong*) flint_malloc(len * sizeof(ulong)); |
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Use (1) alloca or (2) GR_TMP_ALLOC joined with GR_TMP_FREE (see gr.h). No need to use malloc for something small.
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I have now changed it to GR_TMP_ALLOC.
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As stated, this PR would like to introduce complete elliptic integrals of the first, second and third kind with exact arguments in the Calcium framework:
ca_elliptic_k,ca_elliptic_eandca_elliptic_pi. In my opinion, support of multiple transcendental functions enhances the functionality and allows for more applications of the FLINT library, in particular since user-defined functions in Calcium are not yet supported.The implementation is quite basic. I have implemented the Legendre relation of the elliptic integrals to allow for some simplifications, but so far no further functional equations.
(I just encountered myself the situation that I would have liked to work with elliptic integrals, but did not find them implemented. I think that they can also be useful for anyone else, and in particular the implementation was almost cost-free. Thus I thought that maybe such a pull request would be sensible.)
Best regards.