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PR related to #729, gamma function of pure imaginary returns correct value #730

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merged 4 commits into from
Sep 2, 2023
Merged

PR related to #729, gamma function of pure imaginary returns correct value #730

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ce0bf2a
include imaginary axis in right half-plane for Γ(z)
banana-bred Aug 14, 2023
736efb7
added pure imaginary test case
banana-bred Aug 14, 2023
5ee7535
consistent test array sizes
banana-bred Aug 14, 2023
a896ba5
make answer correct
banana-bred Aug 14, 2023
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8 changes: 4 additions & 4 deletions src/stdlib_specialfunctions_gamma.fypp
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Original file line number Diff line number Diff line change
Expand Up @@ -298,14 +298,14 @@ contains

end if

if(z % re > zero_k1) then
if(z % re < zero_k1) then

y = z - one
x = cmplx(abs(z % re), - z % im, kind = ${k1}$)
y = x - one

else

x = cmplx(abs(z % re), - z % im, kind = ${k1}$)
y = x - one
y = z - one

end if

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32 changes: 18 additions & 14 deletions test/specialfunctions/test_specialfunctions_gamma.fypp
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Expand Up @@ -96,21 +96,21 @@ contains
4.78749174, 3.63739376e2]

#:elif k1 == "int16"

${t1}$, parameter :: x(n) = [0_${k1}$, 1_${k1}$, 2_${k1}$, 4_${k1}$, &
7_${k1}$, 500_${k1}$]
real(sp), parameter :: ans(n) = [0.0, 0.0, 0.693147180, 3.17805383, &
8.52516136, 2.61133046e3]

#:elif k1 == "int32"

${t1}$, parameter :: x(n) = [0_${k1}$, 1_${k1}$, 2_${k1}$, 4_${k1}$, &
12_${k1}$, 7000_${k1}$]
real(sp), parameter :: ans(n) = [0.0, 0.0, 0.693147180, 3.17805383, &
1.99872145e1, 5.49810038e4]

#:elif k1 == "int64"

${t1}$, parameter :: x(n) = [0_${k1}$, 1_${k1}$, 2_${k1}$, 4_${k1}$, &
20_${k1}$, 90000_${k1}$]
real(sp), parameter :: ans(n) = [0.0, 0.0, 0.693147180, 3.17805383, &
Expand All @@ -134,42 +134,46 @@ contains

subroutine test_gamma_${t1[0]}$${k1}$(error)
type(error_type), allocatable, intent(out) :: error
integer, parameter :: n = 4
integer, parameter :: n = 5
integer :: i

#:if k1 == "int8"

${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 6_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, 120_${k1}$]
${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 5_${k1}$, 6_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, 24_${k1}$, 120_${k1}$]

#:elif k1 == "int16"

${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 8_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, 5040_${k1}$]
${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 5_${k1}$, 8_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, 24_${k1}$, 5040_${k1}$]

#:elif k1 == "int32"

${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 13_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, &
${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 8_${k1}$, 13_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, 5040_${k1}$, &
479001600_${k1}$]

#:elif k1 == "int64"

${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 21_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, &
${t1}$, parameter :: x(n) = [1_${k1}$, 2_${k1}$, 4_${k1}$, 13_${k1}$, 21_${k1}$]
${t1}$, parameter :: ans(n) = [1_${k1}$, 1_${k1}$, 6_${k1}$, 479001600_${k1}$, &
2432902008176640000_${k1}$]
#:elif t1[0] == "c"

${t1}$, parameter :: x(n) = [(0.25_${k1}$, 0.25_${k1}$), &
(0.5_${k1}$, -0.5_${k1}$), &
(1.0_${k1}$, 1.0_${k1}$), &
(-1.254e1_${k1}$, -9.87_${k1}$)]
(-1.254e1_${k1}$, -9.87_${k1}$), &
(0.0_${k1}$, 1.0_${k1}$) &
]

${t1}$, parameter :: ans(n) = &
[(1.6511332803889208_${k1}$, -1.8378758749947890_${k1}$), &
(0.81816399954174739_${k1}$, 0.76331382871398262_${k1}$),&
(0.49801566811835604_${k1}$, -0.15494982830181069_${k1}$),&
(-2.18767396709283064e-21_${k1}$, 2.77577940846953455e-21_${k1}$)]
(-2.18767396709283064e-21_${k1}$, 2.77577940846953455e-21_${k1}$),&
(-0.15494982830181067_${k1}$, -0.49801566811835607_${k1}$) &
]
#:endif


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