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SYCLIST.f95
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SYCLIST.f95
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! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
module DataStructure
! Define the new type DataStructure
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
implicit none
integer,parameter,public::Table_Line_Number_normal = 400
integer,parameter,public::Table_Line_Number_PMS = 500
integer,public,save::Table_Line_Number = 400
integer,parameter,private::Data_Number_GE = 42 ! WARNING : adapt this value to the number of data hereafter:
integer,public::Data_Number = -1
integer,parameter,private::i_time_GE=1,i_mass_GE=2,i_logL_GE=3,i_logTeff_corr_GE=4, &
i_H1_Surf_GE=5,i_He4_surf_GE=6,i_C12_surf_GE=7,i_C13_surf_GE=8,i_N14_surf_GE=9, &
i_O16_surf_GE=10,i_O17_surf_GE=11,i_O18_surf_GE=12,i_Ne20_surf_GE=13,i_Ne22_surf_GE=14, &
i_Al26_surf_GE=15,i_Mcc_GE=16,i_logTeff_GE=17,i_Mdot_GE=18,i_rhoc_GE=19,i_Tc_GE=20, &
i_H1_cen_GE=21,i_He4_cen_GE=22,i_C12_cen_GE=23,i_C13_cen_GE=24,i_N14_cen_GE=25, &
i_O16_cen_GE=26,i_O17_cen_GE=27,i_O18_cen_GE=28,i_Ne20_cen_GE=29,i_Ne22_cen_GE=30, &
i_Al26_cen_GE=31,i_Omega_surf_GE=32,i_Omega_cen_GE=33,i_oblat_GE=34,i_Mdot_enhencement_GE=35, &
i_v_crit1_GE=36,i_v_crit2_GE=37,i_v_equa_GE=38,i_Omega_Omcrit_GE=39,i_Gamma_Ed_GE=40, &
i_Mdot_mec_GE=41,i_L_tot_GE=42
integer,public::i_time=-1,i_mass=-1,i_logL=-1,i_logTeff_corr=-1, &
i_H1_Surf=-1,i_He4_surf=-1,i_C12_surf=-1,i_C13_surf=-1,i_N14_surf=-1, &
i_O16_surf=-1,i_O17_surf=-1,i_O18_surf=-1,i_Ne20_surf=-1,i_Ne22_surf=-1, &
i_Al26_surf=-1,i_Mcc=-1,i_logTeff=-1,i_Mdot=-1,i_rhoc=-1,i_Tc=-1, &
i_H1_cen=-1,i_He4_cen=-1,i_C12_cen=-1,i_C13_cen=-1,i_N14_cen=-1, &
i_O16_cen=-1,i_O17_cen=-1,i_O18_cen=-1,i_Ne20_cen=-1,i_Ne22_cen=-1, &
i_Al26_cen=-1,i_Omega_surf=-1,i_Omega_cen=-1,i_oblat=-1,i_Mdot_enhencement=-1, &
i_v_crit1=-1,i_v_crit2=-1,i_v_equa=-1,i_Omega_Omcrit=-1,i_Gamma_Ed=-1, &
i_Mdot_mec=-1,i_L_tot=-1
integer,parameter,public::Additional_Data_Number = 24 !WARNING : adapt this value to the number of data
!hereafter:
integer,parameter,public::i_MBol=1,i_MV=2,i_UB=3,i_BV=4,i_B2V1=5,i_VR=6,i_VI=7,i_JK=8,i_HK=9,i_VK=10, &
i_GV=11,i_GbpV=12,i_GrpV=13,i_Gflag=14,i_PolarRadius=15,i_polar_gravity=16,i_MV_noisy=17,i_BV_noisy=18, &
i_BC=19,i_logL_gd=20,i_logTeff_gd=21,i_logL_lgd=22,i_logTeff_lgd=23,i_mean_gravity=24
character(*),parameter,public::ReadFormat = '(i3,1x,e22.15,1x,f11.6,2(1x,f9.6),2(1x,e14.7),1p,8(1x,e14.7),1x,e10.3,&
&1x,0pf7.4,1x,f9.6,1x,f8.3,2(1x,f9.6),2(1x,e14.7),1p,8(1x,e14.7),5(1x,e10.3),3(1x,e9.2),&
&0p,2(1x,f9.6),1x,1pe14.7,1x,e17.10)'
logical,public,save:: verbose
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
type type_DataStructure
real(kind=8)::Metallicity,mass_ini,Omega_Omcrit_ini
character(512)::FileName
integer,dimension(:),allocatable::line
real(kind=8),dimension(:,:),allocatable::Data_Table
end type type_DataStructure
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
type type_TimeModel
integer::star_ID,Is_a_Binary
real(kind=8)::Metallicity,mass_ini,Omega_Omcrit_ini,Current_Time,mass_ratio,Angle_of_View
real(kind=8),dimension(:),allocatable::Data_Line
real(kind=8),dimension(Additional_Data_Number)::Additional_Data_Line
end type type_TimeModel
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
public::FillData
public::Init_DataStructure
public::Del_DataStructure
public::Init_Indices
public::Init_TimeModel
contains
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Init_DataStructure(Number_of_lines,Number_of_data,MyDataStructure)
! Initiate the dimension of the DataStructure dynamically.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
integer, intent(in):: Number_of_lines,Number_of_data
type(type_DataStructure),intent(out)::MyDataStructure
integer::i,j
allocate(MyDataStructure%line(Number_of_lines))
allocate(MyDataStructure%Data_Table(Number_of_lines,Number_of_data))
do i=1,Number_of_lines
MyDataStructure%line(i) = -1
enddo
do i=1,Number_of_lines
do j=1,Number_of_data
MyDataStructure%Data_Table(i,j) = -10.d0
enddo
enddo
return
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
end subroutine Init_DataStructure
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Del_DataStructure(MyDataStructure)
! Delete DataStructure arrays.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
type(type_DataStructure),intent(inout)::MyDataStructure
deallocate(MyDataStructure%line)
deallocate(MyDataStructure%Data_Table)
end subroutine Del_DataStructure
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Init_Indices(MyFormat)
! Delete DataStructure arrays.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
integer,intent(in):: MyFormat
if (MyFormat == 1) then
! GENEC format
Data_Number = Data_Number_GE
i_time = i_time_GE
i_mass = i_mass_GE
i_logL = i_logL_GE
i_logTeff_corr = i_logTeff_corr_GE
i_H1_Surf = i_H1_Surf_GE
i_He4_surf = i_He4_surf_GE
i_C12_surf = i_C12_surf_GE
i_C13_surf = i_C13_surf_GE
i_N14_surf = i_N14_surf_GE
i_O16_surf = i_O16_surf_GE
i_O17_surf = i_O17_surf_GE
i_O18_surf = i_O18_surf_GE
i_Ne20_surf = i_Ne20_surf_GE
i_Ne22_surf = i_Ne22_surf_GE
i_Al26_surf = i_Al26_surf_GE
i_Mcc = i_Mcc_GE
i_logTeff = i_logTeff_GE
i_Mdot = i_Mdot_GE
i_rhoc = i_rhoc_GE
i_Tc = i_Tc_GE
i_H1_cen = i_H1_cen_GE
i_He4_cen = i_He4_cen_GE
i_C12_cen = i_C12_cen_GE
i_C13_cen = i_C13_cen_GE
i_N14_cen = i_N14_cen_GE
i_O16_cen = i_O16_cen_GE
i_O17_cen = i_O17_cen_GE
i_O18_cen = i_O18_cen_GE
i_Ne20_cen = i_Ne20_cen_GE
i_Ne22_cen = i_Ne22_cen_GE
i_Al26_cen = i_Al26_cen_GE
i_Omega_surf = i_Omega_surf_GE
i_Omega_cen = i_Omega_cen_GE
i_oblat = i_oblat_GE
i_Mdot_enhencement = i_Mdot_enhencement_GE
i_v_crit1 = i_v_crit1_GE
i_v_crit2 = i_v_crit2_GE
i_v_equa = i_v_equa_GE
i_Omega_Omcrit = i_Omega_Omcrit_GE
i_Gamma_Ed = i_Gamma_Ed_GE
i_Mdot_mec = i_Mdot_mec_GE
i_L_tot = i_L_tot_GE
else if (MyFormat == 2) then
! Starevol format
write(*,*) 'Done'
else
write(*,*) 'Problems with the requested format, aborting...'
stop
endif
end subroutine Init_Indices
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Init_TimeModel(Number_of_data,MyTimeModel)
! Initiate the dimension of the TimeModel dynamically.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
integer, intent(in):: Number_of_data
type(type_TimeModel),intent(out)::MyTimeModel
integer::i
allocate(MyTimeModel%Data_Line(Number_of_data))
do i=1,Number_of_data
MyTimeModel%Data_Line(i) = -1
enddo
return
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
end subroutine Init_TimeModel
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine FillData(Z,Mini,Omini,FileNameIn,Structure)
! Read the evolution file and fill the structure.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8),intent(in)::Z,Mini,Omini
character(512),intent(in)::FileNameIn
type(type_DataStructure),intent(inout)::Structure
integer::LineNumber,error=0,i,j
integer,parameter::ReadUnit=30,Line_to_Remove = 3
open(unit=ReadUnit,file=trim(FileNameIn),iostat=error,status='old')
if (error /= 0) then
write(*,*) 'Error opening file ',trim(FileNameIn),'. Aborting...'
stop
endif
! The table files have 18 lines at the beginning to remove.
do i=1,Line_to_Remove
read(ReadUnit,*)
enddo
! Determine the number of lines
LineNumber = 0
do while (error == 0)
read(ReadUnit,*,iostat=error)
if (error /= 0) then
exit
endif
LineNumber = LineNumber+1
enddo
! Check if the input file has the right format.
if (LineNumber /= Table_Line_Number) then
write(*,*) 'The file ',trim(FileNameIn),' is not at the .grids format: not enough or too much lines.'
stop
endif
! Fill the structure
Structure%Metallicity = Z
Structure%mass_ini = Mini
Structure%Omega_Omcrit_ini = Omini
Structure%FileName = FileNameIn
if (verbose) then
write(*,*) 'Reading ',trim(Structure%FileName),'...'
endif
rewind(ReadUnit)
! The table files have 18 lines at the beginning to remove.
do i=1,Line_to_Remove
read(ReadUnit,*)
enddo
! Read the data, and check the number of different lines.
do i=1,LineNumber
read(ReadUnit,ReadFormat,iostat=error)Structure%line(i),(Structure%Data_Table(i,j),j=1,Data_Number)
if (error /= 0) then
write(*,*) 'Problem reading file ',trim(FileNameIn),'. Aborting...'
stop
endif
! To perform a better interpolation, the null mass loss rate (in log) are put to -32.
if (abs(Structure%Data_Table(i,i_Mdot)) < 1.d-30) then
Structure%Data_Table(i,i_Mdot) = -32.d0
endif
if (abs(Structure%Data_Table(i,i_Mdot_mec)) < 1.d-30) then
Structure%Data_Table(i,i_Mdot_mec) = -32.d0
endif
enddo
! Set the time on the ZAMS to 1 yr (to avoid complication due to log interpolation).
if (Structure%Data_Table(1,i_time) /= 0.d0) then
Structure%Data_Table(:,i_time) = Structure%Data_Table(:,i_time) - Structure%Data_Table(1,i_time) + 1.d0
else
Structure%Data_Table(1,i_time) = 1.d0
endif
if (verbose) then
write(*,*) ' done !'
endif
close(ReadUnit)
return
end subroutine FillData
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
end module DataStructure
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
module Constant
! Contains constants
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
implicit none
real(kind=8),parameter::pi = 3.1415926535897932384626433d0, & ! Pi
L_sun = 3.846d33, & ! Solar luminosity
sigma_SB = 5.670373d-5, & ! Stefan-Boltzman constant
G_Newton = 6.67384d-8, & ! Gravitational constant
M_sun = 1.9891d33, & ! Solar mass
Z_sun = 0.014d0, & ! Solar metallicity
R_sun = 6.961d10, & ! Solar radius
sL_sun = 10.61d0 ! Solar log spectroscopic luminosity
end module Constant
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
module VariousParameters
! Contains various parameters (among of them, some can be changed later
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
use DataStructure, only: type_DataStructure
implicit none
integer,public,save:: star_number=1000 ! Current numbe of star in the cluster.
integer,public,save:: table_format = 1 ! Table format (1) GENEC, (2) Starevol
integer,public,save::i_metallicity=0 ! Metallicity distribution: dirac (0)
integer,public,save::ivdist=1 ! Velocity distribution: uniform (0),
! huang(1), huang-gies(2), dirac_om(3)
integer,public,save::iangle=2 ! uniforme dist. (1), vsini (2), Dirac (3)
! or not (0) of the angle of view
integer,public,save::inoise=1 ! noise adjunction (1) or not (0)
! (data without noise are saved whatever
! the case)
integer,public,save::grav_dark=2 ! gravity darkening law: (1) vonZeipel (1924),
! (2) Espinosa-Lara & Reutord (2011)
integer,public,save::limb_dark=1 ! no limb-darkening (0), with LD (1)
integer,public,save::Current_Number ! Current star number
integer,public,save::SN_Number ! SN number (star more massive than m_norm_sup)
integer,public,save::Small_Number ! small mass star number (< m_norm_inf).
integer,public,save::Cepheid_Number ! Cepheid number
integer,public,save::FastRot_Number ! Fast rotators number
integer,public,save::Z_Number ! Metallicity number
integer,public,save::IMF_type = 1 ! IMF. For now, only Salpeter (1) is allowed
integer,public,save::Comp_Mode = 0 ! Various computation mode : (1) cluster, (2)
! isochrone, (3) Population mode, (4) Single model
integer,public,save::Colour_Calibration_mode = 2 ! Colour-Teff calibration (1) as in Paper I 2011,
! (2) Worthey & Lee, ApJS 193 1 (2011).
integer,pointer::mass_Number_array(:) ! Array containing the number of mass for each Z.
integer,pointer::omega_Number_array(:,:) ! Array containg for each Z and mass the number
! of different rotation velocities
real(kind=8),public,save::Fixed_AoV_latitude=22.d0 ! Fixed angle of view from pole to equator
real(kind=8),public,save::Fixed_AoV ! Same angle, in colatitude.
real(kind=8),public,parameter::m_IMF_inf_Grids2012=0.8d0, m_IMF_sup_Grids2012=120.d0
real(kind=8),public,parameter::m_IMF_inf_BeGrids=1.7d0, m_IMF_sup_BeGrids=15.d0
real(kind=8),public,parameter::m_IMF_inf_NamiGrids=0.5d0, m_IMF_sup_NamiGrids=3.5d0
real(kind=8),public,save::m_IMF_inf=m_IMF_inf_BeGrids, m_IMF_sup=m_IMF_sup_BeGrids ! IMF min and max mass
real(kind=8),public,save::fixed_metallicity = 0.014d0 ! Metallicity used in case of Dirac distribution
real(kind=8),public,save::om_ivdist=0.40d0 ! In case of Dirac omega-distribution
real(kind=8),public,save::binary_prob=0.30d0 ! Binarity probability
real(kind=8),public,save::Star_Z ! Current stellar metallicity
real(kind=8),public,save::Star_mass ! Current stellar mass
real(kind=8),public,save::Star_omega ! Current stellar velocity
real(kind=8),public,save::Star_AoV ! Current stellar angle of view
real(kind=8),public,parameter::log_age_max=11.0d0 ! Maximal log(age) for cluster allowed with the
real(kind=8),public,save::sigma_mv=0.150d0, sigma_bv=0.10d0 ! standard deviation in MV et B-V
! current tables.
real(kind=8),public,save::age_log ! wanted log(age).
real(kind=8),public,save::Cluster_mass ! Total cluster mass
real(kind=8),dimension(:,:,:),public,pointer,save::omega_List=>null() ! List of the rotation velocities.
real(kind=8),dimension(:,:),public,pointer,save::mass_List=>null() ! List of the masses.
real(kind=8),dimension(:),public,pointer,save::Z_List=>null() ! List of the metallicities.
logical,public,save::PMS=.false.
logical,public,save::Compute ! Used in the main loop
type(type_DataStructure),dimension(:,:,:),public,pointer,save::All_Data_Array=>null() ! Array containing
! in each coordinate (ie, Z,m and omega)
! the data structure.
character(9),public:: grid = "BeGrids"
character(256),public::Std_Path,Std_Path_tables
! directory of following files:
character(*),parameter,public::HuangFile = 'HuangDist.dat', & ! File of the Huang distribution
HGFile = 'HGDist.dat', & ! File of the Huang & Gies distribution
LumFileVZ = 'CorrLumVZ.dat', & ! File of the luminosity corrections according to von Zeipel 1924
TeffFileVZ = 'CorrTeffVZ.dat', & ! File of the Teff corrections according to von Zeipel 1924
LumFileELR = 'CorrLumELR.dat', & ! File of the luminosity corrections according to ELR 2011
TeffFileELR = 'CorrTeffELR.dat', & ! File of the Teff corrections according to ELR 2011
GravFileVZ = 'CorrGravVZ.dat', & ! File of the Teff corrections according to von Zeipel 1924
GravFileELR = 'CorrGravELR.dat', & ! File of the Teff corrections according to ELR 2011
LumGridVZ = 'CorrLumVZ_LD.dat', & !new! Grid of files for lum corrections (vZ with LD)
TeffGridVZ = 'CorrTeffVZ_LD.dat', & !new! Grid of files for Teff corrections (vZ with LD)
LumGridELR = 'CorrLumELR_LD.dat', & !new! Grid of files for lum corrections (ELR with LD)
TeffGridELR = 'CorrTeffELR_LD.dat', & !new! Grid of files for Teff corrections (ELR with LD)
VCrit_to_Omega_File = 'Vcrit2omega.dat', & ! Vcrit to omega translation
OmegaSurface_File = 'Surface_Omega.dat', & ! S vs omega/omega_crit data file.
DataColor = 'DataColours.dat' ! File of the data for color corrections.
character(*),parameter,public::ListFileGrids2012='ListFileL.txt', & ! File containing the path of the large grid files
ListFileBeGrids='ListFileB.txt', & ! File containing the path of the Be grid files
ListFileFastBe='ListFileF.txt',& ! File containing the path of the fast Be grid files
ListFileNamiGrids='ListFileN.txt' ! File containing the path of the Nami grid files
character(*),parameter,public::GridsFormat = '(i3,1x,e22.15,1x,f11.6,2(1x,f9.6),2(1x,e14.7),1p,&
&8(1x,e14.7),1x,e10.3,1x,0pf7.4,1x,f9.6,1x,f8.3,2(1x,f9.6),2(1x,e14.7),1p,8(1x,e14.7),&
&5(1x,e10.3),3(1x,e9.2),0p,2(1x,f9.6),1x,1pe14.7,1x,e17.10)'
public:: init_AoV
contains
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine init_AoV()
! Transforms the given angle of view in colatitudinal angle.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
use Constant, only:pi
implicit none
Fixed_AoV = pi/2.d0-Fixed_AoV_latitude*(pi/180.d0)
return
end subroutine init_AoV
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
end module VariousParameters
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
module LoopVariables
! Module containing variables used only in the main loop, not useful elsewhere
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
use DataStructure, only: type_DataStructure,type_TimeModel
implicit none
integer, dimension(2,2), public, save::omega_Position ! Position of the current velocity in the
! table.
integer, dimension(2), public, save::mass_Position ! Position of the current mass in the
! table.
integer, public, save::Z_Position ! Position of the current metallicity in the
! table.
real(kind=8), dimension(2,2), public, save::omega_factor ! Interpolation factor in omega.
real(kind=8), dimension(2), public, save::mass_factor ! Interpolation factor in mass.
real(kind=8), public, save::Z_factor ! Interpolation factor in metllicity.
type(type_DataStructure), public, save::Interpolated_Model
type(type_TimeModel), dimension(:),public, pointer, save:: CurrentTime_Model=>null() ! Array containing
! the data of the model at the given time.
end module LoopVariables
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
module interpolmod
! Module containing routines useful for interpolation purpose.
! &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&
public:: Linear_Interp
public:: indice
public:: give_factor
public:: give_factorLog
public:: All_Positions_and_factors
public:: Make_InterpolatedModel
public:: Make_TimeModel
public:: Bilin_Interpol
private:: Interpol_factor
private:: Interpol_factor_array
private:: Interpolate_Model
private:: Fill_Data_ZAMS
private:: Time_Interpolation
private:: Interpol_Mass
private:: Interpol_Omega
private:: omega_Position_and_factor
private:: mass_Position_and_factor
private:: Z_Position_and_factor
contains
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
real(kind=8) function Linear_Interp(x,n,a,b)
! Linear interpolation routine
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8),intent(in)::x
integer,intent(in)::n
integer::k
real(kind=8), dimension(n),intent(in):: a,b
k=indice(x,a,n)
Linear_Interp=b(k)+(b(k+1)-b(k))*(x-a(k))/(a(k+1)-a(k))
return
end function Linear_Interp
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
integer function indice(x0,x,m)
! Quick search of the position d of a value xo in a monotic table of m numbers x(i)
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8),intent(in):: x0
integer,intent(in):: m
integer:: i=0,k,n
real(kind=8), intent(in),dimension(m):: x
! si k = indice(x0,x,m) on aura x0 compris entre x(k) et x(k+1)
! ou x0 = x(k).
! si x0 exterieur a la table indice=1 si x0 du cote de x(1)
! indice = m-1 si x0 du cote de x(m)
n = m
k = 1
do while (n-k-1 /= 0)
i=(k+n)/2
if((x(i)-x0)*(x(n)-x(1)) <= 0) then
k = i
else
n = i
endif
enddo
indice = k
return
end function indice
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
real(kind=8) function give_factor(x_Current,x_i,x_ip1)
! Compute the fraction of the current position in the intervale of interpolation
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8), intent(in)::x_Current,x_i,x_ip1
give_factor = (x_Current-x_i)/(x_ip1-x_i)
return
end function give_factor
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
real(kind=8) function give_factorLog(x_Current,x_i,x_ip1)
! Compute the fraction of the current position in the intervale of interpolation
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8), intent(in)::x_Current,x_i,x_ip1
give_factorLog = (log10(x_Current)-log10(x_i))/(log10(x_ip1)-log10(x_i))
return
end function give_factorLog
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
real(kind=8) function Interpol_factor(in_1,in_2,factor)
! Simple linear function : out = in_1 + factor*(in_2 - in_1)
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8),intent(in)::in_1,in_2,factor
if (factor == 0.d0) then
Interpol_factor = in_1
else if (factor == 1.d0) then
Interpol_factor = in_2
else
Interpol_factor = in_1 + factor*(in_2 - in_1)
endif
return
end function Interpol_factor
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Interpol_factor_array(in_1,in_2,factor,Number_dim1,Number_dim2,Array_out)
! Simple linear function : out = in_1 + factor*(in_2 - in_1), but for the data array.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
integer, intent(in)::Number_dim1,Number_dim2
real(kind=8), intent(in)::factor
real(kind=8),dimension(Number_dim1,Number_dim2),intent(in)::in_1,in_2
real(kind=8),dimension(Number_dim1,Number_dim2),intent(out)::Array_out
if (factor == 0.d0) then
Array_out(:,:) = in_1(:,:)
else if (factor == 1.d0) then
Array_out(:,:) = in_2(:,:)
else
Array_out(:,:) = in_1(:,:) + factor*(in_2(:,:) - in_1(:,:))
endif
return
end subroutine Interpol_factor_array
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
real(kind=8) function Bilin_Interpol(P1,P2,P3,P4,fact1,fact2)
! Perform a bilinear interpolation between 4 points. The disposition is:
! P4-----------P3
! . .
! . .
! . . fact2
! . . ^
! . . !
! P1-----------P2 !
! ---> fact1
! The first interpolation is done along fact1, and then along fact2.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
implicit none
real(kind=8),intent(in)::P1,P2,P3,P4,fact1,fact2
real(kind=8):: PA,PB
PA = Interpol_factor(P1,P2,fact1)
PB = Interpol_factor(P4,P3,fact1)
Bilin_Interpol = Interpol_factor(PA,PB,fact2)
return
end function Bilin_Interpol
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
real(kind=8) function Plane_Interpol(x1,y1,P1,x2,y2,P2,x3,y3,P3,x,y)
!
!Esta funcion encuentra el plano que pasa por 3 vertices, para interpolar un valor intermedio.
!
implicit none
real(kind=8),intent(in)::x1,y1,P1,x2,y2,P2,x3,y3,P3,x,y
real(kind=8):: M1,M2,M3,D
!
M1 = (y2 * P3) - (y3 * P2) - ((y1 * P3) - (y3 * P1)) + (y1 * P2) - (y2 * P1)
M2 = -((x2 * P3) - (x3 * P2)) + (x1 * P3) - (x3 * P1) - ((x1 * P2) - (x2 * P1))
M3 = (x2 * y3) - (x3 * y2) - ((x1 * y3) - (x3 * y1)) + (x1 * y2) - (x2 * y1)
D = x1 *((y2 * P3) - (y3 * P2)) - x2 * ((y1 * P3) - (y3 * P1)) + x3 *((y1*P2) -(y2* P1))
!
Plane_Interpol = (D - M1 * x - M2 * y)/ M3
!
return
end function Plane_Interpol
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine omega_Position_and_factor(omega,Position_stage1,Position_stage2,Position,factor)
! Compute the fraction of the current position in the intervale of interpolation
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
use VariousParameters, only: omega_Number_array, omega_List
implicit none
integer, intent(in)::Position_stage1,Position_stage2
integer, intent(out)::Position
real(kind=8), intent(in)::omega
real(kind=8), intent(out)::factor
logical:: Test_List
Test_List = .false.
if (omega_Number_array(Position_stage1,Position_stage2) == 1) then
if (omega_List(Position_stage1,Position_stage2,1) == 0.d0) then
if (omega < 1.d-9) then
Test_List = .true.
endif
else
if (abs(omega/omega_List(Position_stage1,Position_stage2,1)-1.d0) < 1.d-9) then
Test_List = .true.
endif
endif
if (Test_List) then
Position = 1
factor = 0.d0
else
write(*,*) 'Not enough velocities to perform interpolation...'
stop
endif
else
! In case where the velocity is above the largest tabulated velocity, extrapolation instead of
! interpolation.
if (omega <= omega_List(Position_stage1,Position_stage2,omega_Number_array(Position_stage1,Position_stage2))) then
Position = indice(omega,omega_List(Position_stage1,Position_stage2,:), &
omega_Number_array(Position_stage1,Position_stage2))
factor = give_factor(omega,omega_List(Position_stage1,Position_stage2,Position), &
omega_List(Position_stage1,Position_stage2,Position+1))
else
Position = omega_Number_array(Position_stage1,Position_stage2)-1
factor = give_factor(omega,omega_List(Position_stage1,Position_stage2,Position), &
omega_List(Position_stage1,Position_stage2,Position+1))
endif
endif
return
end subroutine omega_Position_and_factor
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine mass_Position_and_factor(mass,Above_Position,Position,factor)
! Compute the fraction of the current position in the intervale of interpolation
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
use VariousParameters, only: mass_Number_array, mass_List
implicit none
integer, intent(in)::Above_Position
integer, intent(out)::Position
real(kind=8), intent(in)::mass
real(kind=8), intent(out)::factor
if (mass_Number_array(Above_Position) == 1) then
if (abs(mass/mass_List(Above_Position,1)-1.d0) < 1.d-9) then
Position = 1
factor = 0.d0
else
write(*,*) 'Not enough mass to perform interpolation...'
stop
endif
else
! Due to the binary treatment, we allow the companion mass to be smaller than the minimal mass
! of the model grid. In this case : extrapolation.
if (mass >= mass_List(Above_Position,1)) then
Position = indice(mass,mass_List(Above_Position,:),mass_Number_array(Above_Position))
factor = give_factorLog(mass,mass_List(Above_Position,Position),mass_List(Above_Position,Position+1))
else
Position = 1
factor = give_factorLog(mass,mass_List(Above_Position,Position),mass_List(Above_Position,Position+1))
endif
endif
return
end subroutine mass_Position_and_factor
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Z_Position_and_factor(Z,Position,factor)
! While we have only one metallicity, trivial routine
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
use VariousParameters, only: Z_Number, Z_List
implicit none
integer, intent(out)::Position
real(kind=8), intent(in)::Z
real(kind=8), intent(out)::factor
if (Z_Number == 1) then
if (abs(Z/Z_List(1)-1.d0) < 1.d-9) then
Position = 1
factor = 0.d0
else
write(*,*) 'Not enough metallicities to perform interpolation...'
stop
endif
else
if (Z >= Z_List(1) .and. Z <= Z_List(Z_Number)) then
Position = indice(Z,Z_List,Z_Number)
factor = give_factorLog(Z,Z_List(Position),Z_List(Position+1))
else
write(*,*) 'Metallicity out of the models metallicities. Aborting...'
stop
endif
endif
return
end subroutine Z_Position_and_factor
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine All_Positions_and_factors(Star_Z,Z_Position,Z_factor,Star_mass,mass_Position,mass_factor, &
Star_omega,omega_Position,omega_factor)
! Responsible for managing the determination of the model in the tables.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! use VariousParameters, only: IMF_type,Star_Z,Star_mass,Star_omega,Star_AoV,ivdist,age_log,fixed_metallicity, &
! om_ivdist,star_number,Comp_Mode,iangle,Z_Number,mass_Number_array,Fixed_AoV
use VariousParameters, only: Z_Number,mass_Number_array
implicit none
integer:: i,Real_Z_Position
integer, intent(out)::Z_Position
integer, dimension(2),intent(out)::mass_Position
integer, dimension(2,2), intent(out)::omega_Position
real(kind=8), intent(in)::Star_Z,Star_mass,Star_omega
real(kind=8), intent(out)::Z_factor
real(kind=8), dimension(2),intent(out)::mass_factor
real(kind=8), dimension(2,2),intent(out)::omega_factor
call Z_Position_and_factor(Star_Z,Z_Position,Z_factor)
if (Z_Number > 1) then
! In case where the table contains several Z, find the mass position for the nearest 2.
if (Z_factor == 1.d0) then
! Case where we are at the upper limit of the Z table. As the function ...Position_and_factor return the final
! position - 1 in that case, we have to look for the mass at the position Z_Position+1.
Real_Z_Position = Z_Position+1
call mass_Position_and_factor(Star_mass,Real_Z_Position,mass_Position(1),mass_factor(1))
else if (Z_factor == 0.d0) then
! In that case, no interpolation in Z will be needed, only one mass position is mandatory.
Real_Z_Position = Z_Position
call mass_Position_and_factor(Star_mass,Real_Z_Position,mass_Position(1),mass_factor(1))
else
! Standard case.
Real_Z_Position = Z_Position
call mass_Position_and_factor(Star_mass,Real_Z_Position,mass_Position(1),mass_factor(1))
call mass_Position_and_factor(Star_mass,Real_Z_Position+1,mass_Position(2),mass_factor(2))
endif
else
Real_Z_Position = Z_Position
call mass_Position_and_factor(Star_mass,Real_Z_Position,mass_Position(1),mass_factor(1))
endif
! Same procedure for determining the position in the omega table.
do i=1,2
! If the mass position is not set, cycle.
if (mass_Position(i) < 0) then
cycle
endif
if (mass_Number_array(Real_Z_Position-1+i) > 1) then
! In case where the table contains several mass, find the omega position for the nearest 2.
if (mass_factor(i) == 1.d0) then
! Case where we are at the upper limit of the mass table. As the function ...Position_and_factor return the final
! position - 1 in that case, we have to look for the mass at the position Z_Position+1.
call omega_Position_and_factor(Star_omega,Real_Z_Position-1+i,mass_Position(i)+1, &
omega_Position(i,1),omega_factor(i,1))
else if (mass_factor(i) == 0.d0) then
! In that case, no interpolation in omega will be needed, only one mass position is mandatory.
call omega_Position_and_factor(Star_omega,Real_Z_Position-1+i,mass_Position(i), &
omega_Position(i,1),omega_factor(i,1))
else
! Standard case.
call omega_Position_and_factor(Star_omega,Real_Z_Position-1+i,mass_Position(i), &
omega_Position(i,1),omega_factor(i,1))
call omega_Position_and_factor(Star_omega,Real_Z_Position-1+i,mass_Position(i)+1, &
omega_Position(i,2),omega_factor(i,2))
endif
else
call omega_Position_and_factor(Star_omega,Real_Z_Position-1+i,mass_Position(i), &
omega_Position(i,1),omega_factor(i,1))
endif
enddo
end subroutine All_Positions_and_factors
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subroutine Make_InterpolatedModel(Position_z,factor_z,Position_m,factor_m,Position_o,factor_o,New_Structure)
! Compute the interpolated model (given mass and omega). The interpolation factor and the position in
! the table are passed by arguments.
! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
use DataStructure, only:type_DataStructure,i_mass,Table_Line_Number,i_H1_Surf,i_He4_surf,i_C12_surf,i_C13_surf, &
i_N14_surf,i_O16_surf,i_O17_surf,i_O18_surf,i_Ne20_surf,i_Ne22_surf,i_Al26_surf,i_Mcc, &
i_H1_cen,i_He4_cen,i_C12_cen,i_C13_cen,i_N14_cen,i_O16_cen,i_O17_cen,i_O18_cen,i_Ne20_cen, &
i_Ne22_cen,i_Al26_cen,i_Omega_Omcrit,i_Gamma_Ed,i_Omega_surf,i_Mcc,i_oblat,i_v_equa,i_v_crit1,i_v_crit2, &
Init_DataStructure,Del_DataStructure,Data_Number,Table_Line_Number
use VariousParameters, only:All_Data_Array,Z_Number
implicit none
integer, intent(in)::Position_z
integer, dimension(2), intent(in)::Position_m
integer, dimension(2,2), intent(in):: Position_o
real(kind=8), intent(in)::factor_z
real(kind=8), dimension(2), intent(in)::factor_m
real(kind=8), dimension(2,2), intent(in)::factor_o
type(type_DataStructure),intent(out)::New_Structure
type(type_DataStructure)::Structure_Below,Structure_Above
integer::i
! Initialisation of the intermediate structures used here:
call Init_DataStructure(Table_Line_Number,Data_Number,New_Structure)
call Init_DataStructure(Table_Line_Number,Data_Number,Structure_Below)
call Init_DataStructure(Table_Line_Number,Data_Number,Structure_Above)
! The interpolation is done in the order: 1. omega interpolation, 2. mass interpolation (log) and 3. metallicity
! interpolation (log). If only one m/z/omega is present, no interpolation is needed (the check of the values
! between the reqested one one the existence in the table is done previously).
if (Z_Number > 1) then
! Enough metallicities to perform interpolation.
if (factor_z == 1.d0) then
! If the metallicity is the last one in the metallicity list, no interpolation in metallicity is performed.
call Interpol_Mass(Position_z+1,Position_m(1),factor_m(1),Position_o(1,:),factor_o(1,:), &
New_Structure)
else if (factor_z == 0.d0) then
! If we are close to an existing metallicity, no interpolation is needed.
call Interpol_Mass(Position_z,Position_m(1),factor_m(1),Position_o(1,:),factor_o(1,:), &
New_Structure)
else
! Normal case.
call Interpol_Mass(Position_z,Position_m(1),factor_m(1),Position_o(1,:),factor_o(1,:),Structure_Below)
call Interpol_Mass(Position_z+1,Position_m(2),factor_m(2),Position_o(2,:),factor_o(2,:),Structure_Above)
! The interpolation is done according to the log of the metallicity, we need to convert the initial and current
! metallicity into log scale.
Structure_Below%Metallicity = log10(Structure_Below%Metallicity)
Structure_Above%Metallicity = log10(Structure_Above%Metallicity)
call Interpolate_Model(Structure_Below,Structure_Above,factor_z,New_Structure)
! Convert back into non log scale.
New_Structure%Metallicity = 10.d0**New_Structure%Metallicity
endif
else
call Interpol_Mass(Position_z,Position_m(1),factor_m(1),Position_o(1,:),factor_o(1,:),New_Structure)
endif
! Among the interpolated variables, some of them cannot physically overcome 1 or be negative. They are corrected here.
do i=1,Table_Line_Number
if (New_Structure%Data_Table(i,i_H1_surf) > 1.d0) then
New_Structure%Data_Table(i,i_H1_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_He4_surf) > 1.d0) then
New_Structure%Data_Table(i,i_He4_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_C12_surf) > 1.d0) then
New_Structure%Data_Table(i,i_C12_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_C13_surf) > 1.d0) then
New_Structure%Data_Table(i,i_C13_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_N14_surf) > 1.d0) then
New_Structure%Data_Table(i,i_N14_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_O16_surf) > 1.d0) then
New_Structure%Data_Table(i,i_O16_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_O17_surf) > 1.d0) then
New_Structure%Data_Table(i,i_O17_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_O18_surf) > 1.d0) then
New_Structure%Data_Table(i,i_O18_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_Ne20_surf) > 1.d0) then
New_Structure%Data_Table(i,i_Ne20_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_Ne22_surf) > 1.d0) then
New_Structure%Data_Table(i,i_Ne22_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_Al26_surf) > 1.d0) then
New_Structure%Data_Table(i,i_Al26_surf) = 1.d0
endif
if (New_Structure%Data_Table(i,i_Mcc) > 1.d0) then
New_Structure%Data_Table(i,i_Mcc) = 1.d0
endif
if (New_Structure%Data_Table(i,i_H1_cen) > 1.d0) then
New_Structure%Data_Table(i,i_H1_cen) = 1.d0
endif
if (New_Structure%Data_Table(i,i_He4_cen) > 1.d0) then
New_Structure%Data_Table(i,i_He4_cen) = 1.d0
endif
if (New_Structure%Data_Table(i,i_C12_cen) > 1.d0) then
New_Structure%Data_Table(i,i_C12_cen) = 1.d0
endif
if (New_Structure%Data_Table(i,i_C13_cen) > 1.d0) then
New_Structure%Data_Table(i,i_C13_cen) = 1.d0
endif
if (New_Structure%Data_Table(i,i_N14_cen) > 1.d0) then
New_Structure%Data_Table(i,i_N14_cen) = 1.d0
endif
if (New_Structure%Data_Table(i,i_O16_cen) > 1.d0) then
New_Structure%Data_Table(i,i_O16_cen) = 1.d0