- 07 5月, 2012 2 次提交
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由 nsz 提交于
updated nextafter* to use FORCE_EVAL, it can be used in many other places in the math code to improve readability.
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由 Rich Felker 提交于
apparently initializing a variable is not "using" it but assigning to it is "using" it. i don't really like this fix, but it's better than trying to make a bigger cleanup just before a release, and it should work fine (tested against nsz's math tests).
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- 06 5月, 2012 1 次提交
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由 nsz 提交于
make nexttoward, nexttowardf independent of long double representation. fix nextafterl: it did not raise underflow flag when the result was 0.
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- 05 5月, 2012 1 次提交
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由 nsz 提交于
old: 2*atan2(sqrt(1-x),sqrt(1+x)) new: atan2(fabs(sqrt((1-x)*(1+x))),x) improvements: * all edge cases are fixed (sign of zero in downward rounding) * a bit faster (here a single call is about 131ns vs 162ns) * a bit more precise (at most 1ulp error on 1M uniform random samples in [0,1), the old formula gave some 2ulp errors as well)
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- 01 5月, 2012 2 次提交
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由 Rich Felker 提交于
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由 Rich Felker 提交于
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- 30 4月, 2012 3 次提交
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由 Rich Felker 提交于
this is a nonstandard function so it's not clear what conditions it should satisfy. my intent is that it be fast and exact for positive integral exponents when the result fits in the destination type, and fast and correctly rounded for small negative integral exponents. otherwise we aim for at most 1ulp error; it seems to differ from pow by at most 1ulp and it's often 2-5 times faster than pow.
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由 Rich Felker 提交于
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由 Rich Felker 提交于
untested
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- 04 4月, 2012 1 次提交
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由 nsz 提交于
use (1-x)*(1+x) instead of (1-x*x) in asin.s the later can be inaccurate with upward rounding when x is close to 1
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- 29 3月, 2012 4 次提交
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由 nsz 提交于
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由 nsz 提交于
the int part was wrong when -1 < x <= -0 (+0.0 instead of -0.0) and the size and performace gain of the asm version was negligible
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由 nsz 提交于
cleaner implementation with unions and unsigned arithmetic
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由 nsz 提交于
modfl(+-inf) was wrong on ld80 because the explicit msb was not taken into account during inf vs nan check
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- 28 3月, 2012 4 次提交
- 23 3月, 2012 3 次提交
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由 Rich Felker 提交于
special care is made to avoid any inexact computations when either arg is zero (in which case the exact absolute value of the other arg should be returned) and to support the special condition that hypot(±inf,nan) yields inf. hypotl is not yet implemented since avoiding overflow is nontrivial.
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由 nsz 提交于
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由 nsz 提交于
(tgamma must be thread-safe, signgam is for lgamma* functions)
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- 22 3月, 2012 1 次提交
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由 nsz 提交于
the old formula atan2(1,sqrt((1+x)/(1-x))) was faster but could give nan result at x=1 when the rounding mode is FE_DOWNWARD (so 1-1 == -0 and 2/-0 == -inf), the new formula gives -0 at x=+-1 with downward rounding.
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- 21 3月, 2012 5 次提交
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由 Rich Felker 提交于
this has not been tested heavily, but it's known to at least assemble and run in basic usage cases. it's nearly identical to the corresponding i386 code, and thus expected to be just as correct or just as incorrect.
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由 nsz 提交于
old code saved/restored the fenv (the new code is only as slow as that when inexact is not set before the call, but some other flag is set and the rounding is inexact, which is rare) before: bench_nearbyint_exact 5000000 N 261 ns/op bench_nearbyint_inexact_set 5000000 N 262 ns/op bench_nearbyint_inexact_unset 5000000 N 261 ns/op after: bench_nearbyint_exact 10000000 N 94.99 ns/op bench_nearbyint_inexact_set 25000000 N 65.81 ns/op bench_nearbyint_inexact_unset 10000000 N 94.97 ns/op
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由 nsz 提交于
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由 nsz 提交于
fix comments about special cases
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由 nsz 提交于
fix special cases, use multiplication instead of scalbnl
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- 20 3月, 2012 13 次提交
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由 nsz 提交于
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由 Rich Felker 提交于
the fscale instruction is slow everywhere, probably because it involves a costly and unnecessary integer truncation operation that ends up being a no-op in common usages. instead, construct a floating point scale value with integer arithmetic and simply multiply by it, when possible. for float and double, this is always possible by going to the next-larger type. we use some cheap but effective saturating arithmetic tricks to make sure even very large-magnitude exponents fit. for long double, if the scaling exponent is too large to fit in the exponent of a long double value, we simply fallback to the expensive fscale method. on atom cpu, these changes speed up scalbn by over 30%. (min rdtsc timing dropped from 110 cycles to 70 cycles.)
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由 Rich Felker 提交于
this is a lot more efficient and also what is generally wanted. perhaps the bit shuffling could be more efficient...
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由 Rich Felker 提交于
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由 Rich Felker 提交于
exponents (base 2) near 16383 were broken due to (1) wrong cutoff, and (2) inability to fit the necessary range of scalings into a long double value. as a solution, we fall back to using frndint/fscale for insanely large exponents, and also have to special-case infinities here to avoid inf-inf generating nan. thankfully the costly code never runs in normal usage cases.
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由 nsz 提交于
zero, one, two, half are replaced by const literals The policy was to use the f suffix for float consts (1.0f), but don't use suffix for long double consts (these consts can be exactly represented as double).
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由 nsz 提交于
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由 nsz 提交于
Underflow exception is only raised when the result is invalid, but fmod is always exact. x87 has a denormalization exception, but that's nonstandard. And the superflous *1.0 will be optimized away by any compiler that does not honor signaling nans.
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由 nsz 提交于
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由 nsz 提交于
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.
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由 nsz 提交于
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由 nsz 提交于
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由 nsz 提交于
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