Jacobi sd

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The $\mathrm{sd}$ function is defined by $$\mathrm{sd}(u)=\dfrac{\mathrm{sn}(u)}{\mathrm{dn}(u)},$$ where $\mathrm{sn}$ is the Jacobi sn function and $\mathrm{dn}$ is the Jacobi dn function.