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add log2(x [,eps]) builtin function

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Added log2(x [,eps]) builtin function.  When x is an integer
power of 2, log2(x) will return an integer, otherwise it will
return the equivalent of ln(x)/ln(2).
This commit is contained in:
Landon Curt Noll
2023-08-27 19:02:37 -07:00
parent 56c568060a
commit 4e5fcc8812
15 changed files with 429 additions and 71 deletions
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27
help/log2
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@@ -14,21 +14,30 @@ DESCRIPTION
Approximate the base 2 logarithm function of x by a multiple of
epsilon, the error having absolute value less than 0.75 * eps.
When x is an integer power of 2, log2(x) will return an integer
regardless of the value of eps or epsilon().
If y is a positive integer, log(x, 2^-y) will usually be correct
to the y-th decimal place.
When x if a power of 2, log2(x) will return an integer regardless
of the value of eps or epsilon().
EXAMPLE
; print log2(2), log2(4), log2(1024), log2(2^500)
1 2 10 500
; print log2(2), log2(4), log2(1024), log2(2^500), log2(1/2^23209)
1 2 10 500 -23209
; print log(127), log(23209), log(2^17-19)
~6.98868468677216585326 ~14.50239674255407864468 ~16.99979085393743521984
; print log2(127), log2(23209), log2(2^17-19)
6.98868468677216585326 14.50239674255407864468 16.99979085393743521984
; print log(2+3i, 1e-5)
~1.85020558320709803073+~1.41786049195700786266i
; print log2(-127)
6.98868468677216585326+4.53236014182719380961i
; print log2(2+3i), log2(-2+3i)
1.85021985907054608020+1.41787163074572199658i 1.85021985907054608020+3.11448851108147181304i
; print log2(2-3i), log2(-2-3i)
1.85021985907054608020-1.41787163074572199658i 1.85021985907054608020-3.11448851108147181304i
; print log2(17+0.3i, 1e-75), log2(-17-0.3i, 1e-75)
4.08768744737521449955+0.02545668190826163773i 4.08768744737521449955-4.50690345991893217190i
LIMITS
x != 0