mathlib-fp2.0.0
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mathlib-fp 1.5.0

Release date: 2026-07-26

Version 1.5.0 adds the typed contiguous numerical foundation while preserving the complete 1.4 compatibility API.

User-visible additions

  • 32-byte-aligned row-major matrices for single/double real and complex scalars, with checked SizeInt dimensions and allocation arithmetic.
  • Retained-owner mutable row, column, diagonal, and rectangular views, plus explicit deep Clone.
  • Matching allocating and reusable-destination kernels for addition, subtraction, scaling, AXPY, typed scalar-function application, reductions, elementwise multiplication, transpose, and ordinary matrix multiplication. Complex paths distinguish conjugation and conjugate transpose.
  • Allocation-free operator-friendly 2x2 value records and matching batch array types for every supported scalar path.
  • Direct Solve(A, B) for one or many right-hand sides using pivoted LU, plus reusable LU and real/complex Cholesky factor objects.
  • TSingleComplex, explicit single/double complex conversions, compatibility bridges for flat/nested arrays and IMatrix, explicit real/complex matrix conversions, a migration guide, capability inventory, support matrix, and runnable solve example.

Migration and compatibility

No public symbol was removed or deprecated. IMatrix, TMatrixKit, IVector, and nested TMatrixArray storage remain available. Migration to the new API is opt-in.

Conversions from nested arrays, flat vectors, and IMatrix copy data into aligned storage. Conversions back also copy. Views do not copy and are mutable aliases; Clone is the deep-copy operation. See MIGRATING_TO_TYPED_DENSE.md.

Maturity and known limitations

The typed storage, kernels, LU solve, and Cholesky solve are stable within their documented finite-input contracts. The 1.5 scope is dense, square direct solves. It does not add sparse typed storage, least squares, QR/SVD/eigen workflows, condition estimators, SIMD, or parallel dispatch.

Bessel, elliptic, and exponential-integral families remain unsupported rather than being represented as complete. The complete supported/unsupported inventory is in CAPABILITIES.md.

Validation evidence

The 1.5 tests cover:

  • reference real/complex products, odd and empty shapes, mutable view aliases, deep copies, aligned storage, explicit compatibility copies, and overlapping MultiplyInto;
  • mixed 1e200/1e-200 matrix products with representable results;
  • single/double real and complex operation parity with precision-appropriate tolerances;
  • native-size shape and byte-count overflow before allocation;
  • LU vector and multiple-RHS solutions, factor reuse, singularity errors, positive-definite real and Hermitian complex Cholesky, and normalized residual/backward-error checks;
  • validation failure without destination mutation.

benchmarks/BenchmarkRunner.lpr includes a deterministic 127 x 129 by 129 x 65 typed product alongside the existing compatibility benchmark. No throughput improvement is claimed from this first portable kernel.

The repository CI builds and runs the complete tests and examples on Linux x86-64 and Windows x86-64, builds the Lazarus package on Windows x86-64 and i386, and runs an optimised i386 suite. The publication CI completed successfully for PR #9 in CI run #92.

Installation

Download the source archive and its SHA-256 checksum, extract it, and put src/ on the FPC unit path. No configure step, network connection, DLL, licence key, or third-party runtime is needed.