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2013-10-28math: extensive log*.c cleanupSzabolcs Nagy-4/+4
The log, log2 and log10 functions share a lot of code and to a lesser extent log1p too. A small part of the code was kept separately in __log1p.h, but since it did not capture much of the common code and it was inlined anyway, it did not solve the issue properly. Now the log functions have significant code duplication, which may be resolved later, until then they need to be modified together. logl, log10l, log2l, log1pl: * Fix the sign when the return value should be -inf. * Remove the volatile hack from log10l (seems unnecessary) log1p, log1pf: * Change the handling of small inputs: only |x|<2^-53 is special (then it is enough to return x with the usual subnormal handling) this fixes the sign of log1p(0) in downward rounding. * Do not handle the k==0 case specially (other than skipping the elaborate argument reduction) * Do not handle 1+x close to power-of-two specially (this code was used rarely, did not give much speed up and the precision wasn't better than the general) * Fix the correction term formula (c=1-(u-x) was used incorrectly when x<1 but (double)(x+1)==2, this was not a critical issue) * Use the exact same method for calculating log(1+f) as in log (except in log1p the c correction term is added to the result). log, logf, log10, log10f, log2, log2f: * Use double_t and float_t consistently. * Now the first part of log10 and log2 is identical to log (until the return statement, hopefully this makes maintainence easier). * Most special case formulas were removed (close to power-of-two and k==0 cases), they increase the code size without providing precision or performance benefits (and obfuscate the code). Only x==1 is handled specially so in downward rounding mode the sign of zero is correct (the general formula happens to give -0). * For x==0 instead of -1/0.0 or -two54/0.0, return -1/(x*x) to force raising the exception at runtime. * Arg reduction code is changed (slightly simplified) * The thresholds for arg reduction to [sqrt(2)/2,sqrt(2)] are now consistently the [0x3fe6a09e00000000,0x3ff6a09dffffffff] and the [0x3f3504f3,0x3fb504f2] intervals for double and float reductions respectively (the exact threshold values are not critical) * Remove the obsolete comment for the FLT_EVAL_METHOD!=0 case in log2f (The same code is used for all eval methods now, on i386 slightly simpler code could be used, but we have asm there anyway) all: * Fix signed int arithmetics (using unsigned for bitmanipulation) * Fix various comments
2012-11-13math: raise flags in logl.c on <= 0 argumentsSzabolcs Nagy-7/+2
2012-03-19use scalbn or *2.0 instead of ldexp, fix fmalnsz-10/+10
Some code assumed ldexp(x, 1) is faster than 2.0*x, but ldexp is a wrapper around scalbn which uses multiplications inside, so this optimization is wrong. This commit also fixes fmal which accidentally used ldexp instead of ldexpl loosing precision. There are various additional changes from the work-in-progress const cleanups.
2012-03-18fix loads of missing const in new libm, and some global vars (?!) in powlRich Felker-4/+4
2012-03-13first commit of the new libm!Rich Felker-0/+174
thanks to the hard work of Szabolcs Nagy (nsz), identifying the best (from correctness and license standpoint) implementations from freebsd and openbsd and cleaning them up! musl should now fully support c99 float and long double math functions, and has near-complete complex math support. tgmath should also work (fully on gcc-compatible compilers, and mostly on any c99 compiler). based largely on commit 0376d44a890fea261506f1fc63833e7a686dca19 from nsz's libm git repo, with some additions (dummy versions of a few missing long double complex functions, etc.) by me. various cleanups still need to be made, including re-adding (if they're correct) some asm functions that were dropped.