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We introduce the Generalised Lensing and Shear Spectra GLaSS code which isavailable for download from https://github.com/astro-informatics/GLaSS It is afast and flexible public code, written in Python, that computes generalizedspherical cosmic shear spectra. The commonly used tomographic and sphericalBessel lensing spectra come as built-in run-mode options. GLaSS is integratedinto the Cosmosis modular cosmological pipeline package. We outline severalcomputational choices that accelerate the computation of cosmic shear powerspectra. Using GLaSS, we test whether the assumption that using the lensing andprojection kernels for a spatially-flat universe -- in a universe with a smallamount of spatial curvature -- negligibly impacts the lensing spectrum. Werefer to this assumption as The Spatially-Flat Universe Approximation, that hasbeen implicitly assumed in all cosmic shear studies to date. We confirm thatThe Spatially-Flat Universe Approximation has a negligible impact on Stage IVcosmic shear experiments.

Testing the Cosmic Shear Spatially-Flat Universe Approximation with Generalized Lensing and Shear Spectra