The upstream Fortran library source set is wrapped for FPM with pinned MPICH and OpenBLAS native dependencies. The verified example uses exactly one MPI process, serialized MPI thread support and shared-memory/self UCX transports in the restricted sandbox. For a real symmetric positive-definite 2-by-2 matrix with eigenvalues 1 and 9, it checks SquareRoot, InverseSquareRoot and Invert against analytic matrices and independent product residuals, rejecting nonfinite values. D covers matrix functions and D2 covers inversion. Multiple MPI processes, distributed scaling, complex matrices and other solver families are outside this verification scope. Local exports require MPI/OpenBLAS development libraries and locally appropriate compiler/linker flags.
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Build record verified 2026-10-29.
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Reviewed procedures
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The upstream Fortran library source set is wrapped for FPM with pinned MPICH and OpenBLAS native dependencies. The verified example uses exactly one MPI process, serialized MPI thread support and shared-memory/self UCX transports in the restricted sandbox. For a real symmetric positive-definite 2-by-2 matrix with eigenvalues 1 and 9, it checks SquareRoot, InverseSquareRoot and Invert against analytic matrices and independent product residuals, rejecting nonfinite values. D covers matrix functions and D2 covers inversion. Multiple MPI processes, distributed scaling, complex matrices and other solver families are outside this verification scope. Local exports require MPI/OpenBLAS development libraries and locally appropriate compiler/linker flags. Dedicated D consumer checks 24 known SPD matrices in dimensions 2/3 and their principal square/inverse-square roots against independently constructed orthogonal-factor formulas. Three rotations and four positive-root pairs give 48 matrix-function calls; scalar products check root squared, inverse-root congruence and mutual inverse identity. Exactly one MPI process. Does not verify the separate Invert/D2 API, distributed scaling, complex/indefinite/singular matrices or large sparse behavior.
The upstream Fortran library source set is wrapped for FPM with pinned MPICH and OpenBLAS native dependencies. The verified example uses exactly one MPI process, serialized MPI thread support and shared-memory/self UCX transports in the restricted sandbox. For a real symmetric positive-definite 2-by-2 matrix with eigenvalues 1 and 9, it checks SquareRoot, InverseSquareRoot and Invert against analytic matrices and independent product residuals, rejecting nonfinite values. D covers matrix functions and D2 covers inversion. Multiple MPI processes, distributed scaling, complex matrices and other solver families are outside this verification scope. Local exports require MPI/OpenBLAS development libraries and locally appropriate compiler/linker flags.