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DAMASK_EICMD
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polynomial expansion up to order 4

This commit is contained in:
Martin Diehl 2022-05-07 23:04:06 +02:00
parent 71e4fa222c
commit 9605a5c2de
1 changed files with 24 additions and 6 deletions
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30
src/polynomials.f90
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@ -80,7 +80,7 @@ function polynomial_from_dict(dict,y,x) result(p)
x_ref = dict%get_asFloat(x//'_ref')
coef = [coef,dict%get_asFloat(y//','//x)]
end if
do o = 2,2
do o = 2,4
write(o_s,'(I0.0)') o
if (dict%contains(y//','//x//'^'//o_s)) then
x_ref = dict%get_asFloat(x//'_ref')
@ -139,7 +139,7 @@ end function eval_der1
subroutine selfTest()
type(tPolynomial) :: p1, p2
real(pReal), dimension(3) :: coef
real(pReal), dimension(5) :: coef
integer :: i
real(pReal) :: x_ref, x
class(tNode), pointer :: dict
@ -166,6 +166,8 @@ subroutine selfTest()
YAML_s = 'C: '//trim(adjustl(coef_s(1)))//IO_EOL//&
'C,T: '//trim(adjustl(coef_s(2)))//IO_EOL//&
'C,T^2: '//trim(adjustl(coef_s(3)))//IO_EOL//&
'C,T^3: '//trim(adjustl(coef_s(4)))//IO_EOL//&
'C,T^4: '//trim(adjustl(coef_s(5)))//IO_EOL//&
'T_ref: '//trim(adjustl(x_ref_s))//IO_EOL
Dict => YAML_parse_str(trim(YAML_s))
p2 = polynomial(dict%asDict(),'C','T')
@ -176,16 +178,32 @@ subroutine selfTest()
'T_ref: '//trim(adjustl(x_ref_s))//IO_EOL
Dict => YAML_parse_str(trim(YAML_s))
p1 = polynomial(dict%asDict(),'C','T')
if (dNeq(p1%at(x_ref+x),-p1%at(x_ref-x),1.0e-10_pReal)) error stop 'polynomials: eval(odd)'
if (dNeq(p1%der1_at(x),p1%der1_at(5.0_pReal*x),1.0e-10_pReal)) error stop 'polynomials: eval_der(odd)'
if (dNeq(p1%at(x_ref+x),-p1%at(x_ref-x),1.0e-10_pReal)) error stop 'polynomials: eval(linear)'
if (dNeq(p1%der1_at(x),p1%der1_at(5.0_pReal*x),1.0e-10_pReal)) error stop 'polynomials: eval_der(linear)'
YAML_s = 'C: 0.0'//IO_EOL//&
'C,T^2: '//trim(adjustl(coef_s(3)))//IO_EOL//&
'T_ref: '//trim(adjustl(x_ref_s))//IO_EOL
Dict => YAML_parse_str(trim(YAML_s))
p1 = polynomial(dict%asDict(),'C','T')
if (dNeq(p1%at(x_ref+x),p1%at(x_ref-x),1e-10_pReal)) error stop 'polynomials: eval(even)'
if (dNeq(p1%der1_at(x_ref+x),-p1%der1_at(x_ref-x),1e-10_pReal)) error stop 'polynomials: eval_der(even)'
if (dNeq(p1%at(x_ref+x),p1%at(x_ref-x),1e-10_pReal)) error stop 'polynomials: eval(quadratic)'
if (dNeq(p1%der1_at(x_ref+x),-p1%der1_at(x_ref-x),1e-10_pReal)) error stop 'polynomials: eval_der(quadratic)'
YAML_s = 'Y: 0.0'//IO_EOL//&
'Y,X^3: '//trim(adjustl(coef_s(2)))//IO_EOL//&
'X_ref: '//trim(adjustl(x_ref_s))//IO_EOL
Dict => YAML_parse_str(trim(YAML_s))
p1 = polynomial(dict%asDict(),'Y','X')
if (dNeq(p1%at(x_ref+x),-p1%at(x_ref-x),1.0e-10_pReal)) error stop 'polynomials: eval(cubic)'
YAML_s = 'Y: 0.0'//IO_EOL//&
'Y,X^4: '//trim(adjustl(coef_s(2)))//IO_EOL//&
'X_ref: '//trim(adjustl(x_ref_s))//IO_EOL
Dict => YAML_parse_str(trim(YAML_s))
p1 = polynomial(dict%asDict(),'Y','X')
if (dNeq(p1%at(x_ref+x),p1%at(x_ref-x),1.0e-10_pReal)) error stop 'polynomials: eval(quartic)'
end subroutine selfTest