aed3b39546
Note: With this refactoring, `math/utils' no longer depends on `rackunit'. * (flexp2 x) computes (flexpt 2.0 x) but in about 1/3 the time for integer `x' using a lookup table. Written for exact argument reduction in `fllog2' after discovering that (flexpt 2.0 x) was the main performance bottleneck. * (fllog2 x) computes (/ (fllog x) (fllog 2.0)) with near perfect accuracy. Invented an algorithm to compute it with at least 8 extra bits before final rounding; quite pleased with the result. Needed `fllog2' to ensure (fllogb 2.0 x) would be exact when `x' is a power of two. * (fllogb b x) computes (/ (fllog x) (fllog b)) with better accuracy, and also handles limit values in a way that's consistent with the mathematical limits. When those are ambiguous, it's consistent with `flexpt', which follows IEEE 754 and C99. Otherwise returns +nan.0. See docs for details. * `bflogb' is currently just for testing `fllogb'. * Refactored FPU testing and documented it. So far, the only documented way to do it is by calling `test-floating-point', which runs a comprehensive deterministic+randomized suite of tests and returns a list representing failed tests. I'll document individual tests after I document flonum expansions and result/error functions like `fl+/error'. * Added `fllog2' and `fllogb' to the flonum tests. |
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| .. | ||
| bigfloat-beta.rkt | ||
| bigfloat-constants.rkt | ||
| bigfloat-continued-fraction.rkt | ||
| bigfloat-hurwitz-zeta.rkt | ||
| bigfloat-incomplete-beta.rkt | ||
| bigfloat-incomplete-gamma.rkt | ||
| bigfloat-log-arithmetic.rkt | ||
| bigfloat-mpfr.rkt | ||
| bigfloat-struct.rkt | ||
| bigfloat-syntax.rkt | ||
| gmp.rkt | ||
| mpfr.rkt | ||
| utils.rkt | ||