Feature: more type-generic reli(n,x) #20

Expander · 2023-09-19T05:07:31Z

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only n > 4 and 0 < z < 3/4

use one() and zero() in _reli

fd76da0

Expander self-assigned this Sep 19, 2023

use more one() and zero()

d1f32a9

Expander changed the title ~~use one() and zero() in _reli~~ Feature: more type-generic reli(n,x) Sep 19, 2023

Expander added 26 commits September 19, 2023 21:15

use generic zero

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use iszero helper function

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use type-generic oddsgn function

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use more generic real type

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use more generic conversion

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use generic parameter type

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use more generic special case

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use more generic fractions

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use generic power of 2

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testing lower precision li and reli

4f148b5

use for loops for brevity

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handle inf in tests

35f5c2f

first test of reli(n,x) with BigFloat

10a38fc

first set of tests for reli(n,x) with BigFloat precision

fded070

only n > 4 and 0 < z < 3/4

extend test range to |z| < 3/4

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add arbitrary precision versions of fac, inv_fac, eta, zeta

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use alternating series

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split function

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split function

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use zeta from mpfr

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fix execution errors

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use type-specific zeta

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use type-generic 1/2

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pass return type as parameter

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generalize harmonic

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return BigFloat

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Expander added 28 commits October 4, 2023 16:42

fix incorrect testing point from older Mathematica version

bac4602

fixing test value

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test n=2 case

0bcc584

calculate Bernoulli numbers in terms of zeta function

f2e4884

inline function

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simplify expression

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avoid re-calculation of power

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reorder terms

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replace reli2(x) by faster routine

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remove commented function

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extend tests for harmonic

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extend tests for eta function

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extend tests for factorial

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extend tests for zeta

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merge tests

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extend tests for reli

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extend documentation

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use type of x

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benchmark reli

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extend documentation

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more generic eta function

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stable return type

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type stability

227d668

type stability of zeta

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test type stability of reli(n,x)

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split functions to reduce nesting

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type-stabilize reli(n,x)

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extend README

f871e4e

Expander merged commit 9a8b7a1 into main Oct 5, 2023
6 checks passed

Expander deleted the feature-more-generic-reli branch October 5, 2023 14:56

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Feature: more type-generic reli(n,x) #20

Feature: more type-generic reli(n,x) #20

Expander commented Sep 19, 2023

Feature: more type-generic reli(n,x) #20

Feature: more type-generic reli(n,x) #20

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Expander commented Sep 19, 2023