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

Merged
merged 78 commits into from
Oct 5, 2023
Merged

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

merged 78 commits into from
Oct 5, 2023

Commits on Sep 19, 2023

  1. use one() and zero() in _reli

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  2. use more one() and zero()

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  3. use generic zero

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  4. use iszero helper function

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  5. use type-generic oddsgn function

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  6. use more generic real type

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Commits on Sep 20, 2023

  1. use more generic conversion

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  2. use generic parameter type

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  3. use more generic special case

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  4. use more generic fractions

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  5. use generic power of 2

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  6. testing lower precision li and reli

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Commits on Sep 21, 2023

  1. use for loops for brevity

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Commits on Sep 23, 2023

  1. handle inf in tests

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  2. first test of reli(n,x) with BigFloat

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

    only n > 4 and 0 < z < 3/4
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  4. extend test range to |z| < 3/4

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Commits on Sep 24, 2023

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

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Commits on Sep 27, 2023

  1. use alternating series

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  2. split function

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  3. split function

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Commits on Sep 28, 2023

  1. use zeta from mpfr

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  2. fix execution errors

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Commits on Sep 29, 2023

  1. use type-specific zeta

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  2. use type-generic 1/2

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  3. pass return type as parameter

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  4. generalize harmonic

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  5. return BigFloat

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  6. simplify test

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  7. catch n == 1 case

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  8. convert Inf and NaN to result type

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  9. adding overload for other real types

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  10. test new overloads

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  11. test reli(n,x) for n < 2

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  12. test all n, except n == 2

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Commits on Sep 30, 2023

  1. catch case n <= 0

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Commits on Oct 4, 2023

  1. read as BigFloat

    Alexander Voigt committed Oct 4, 2023
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  2. read Li0 data with BigFloat

    Alexander Voigt committed Oct 4, 2023
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  3. move test precision constant to separate file

    Alexander Voigt committed Oct 4, 2023
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  4. rename constants

    Alexander Voigt committed Oct 4, 2023
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  5. test Li0 with BigFloat precision

    Alexander Voigt committed Oct 4, 2023
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  6. reduce test precision to 10^-39

    Alexander Voigt committed Oct 4, 2023
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  7. read data with BigFloat precision

    Alexander Voigt committed Oct 4, 2023
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  8. avoid a default parameter

    Alexander Voigt committed Oct 4, 2023
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  9. simplify test functions

    Alexander Voigt committed Oct 4, 2023
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  10. increase decimal digits for testing to 40

    Alexander Voigt committed Oct 4, 2023
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  11. round up the number of decimal digits

    Alexander Voigt committed Oct 4, 2023
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  12. simplify test functions

    Alexander Voigt committed Oct 4, 2023
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  13. implement special routine to approximate Re[Li_2(x)]

    Alexander Voigt committed Oct 4, 2023
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  14. use log1p

    Alexander Voigt committed Oct 4, 2023
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  15. fix incorrect testing point from older Mathematica version

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  16. fixing test value

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  17. test n=2 case

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  18. calculate Bernoulli numbers in terms of zeta function

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  19. inline function

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  20. simplify expression

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Commits on Oct 5, 2023

  1. avoid re-calculation of power

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  2. reorder terms

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  3. replace reli2(x) by faster routine

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  4. remove commented function

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  5. extend tests for harmonic

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  6. extend tests for eta function

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  7. extend tests for factorial

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  8. extend tests for zeta

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  9. merge tests

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  10. extend tests for reli

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  11. extend documentation

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  12. use type of x

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  13. benchmark reli

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  14. extend documentation

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  15. more generic eta function

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  16. stable return type

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  17. type stability

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  18. type stability of zeta

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  19. test type stability of reli(n,x)

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  20. split functions to reduce nesting

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  21. type-stabilize reli(n,x)

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  22. extend README

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