1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
|
subroutine findtemp(lr,lt0,y,epsin,keyerrt,rfeps)
use eosmodule
implicit none
real*8 lr,lt0,y,epsin
real*8 eps,lt,ldt
real*8 tol
real*8 d1,d2,d3
real*8 eps0,eps1,lt1
real*8 ltn,ltmax,ltmin
real*8 tinput,rfeps
integer :: rl = 0
integer itmax,i,keyerrt
integer ii,jj,kk
keyerrt=0
tol=rfeps ! need to find energy to less than 1 in 10^-10
itmax=20 ! use at most 20 iterations, then bomb
lt=lt0
lt1=lt
eps0=epsin
eps1=eps0
ltmax=logtemp(ntemp)
ltmin=logtemp(1)
! Note: We are using Ewald's Lagrangian interpolator here!
!preconditioning 1: do we already have the right temperature?
call findthis(lr,lt,y,eps,alltables(:,:,:,2),d1,d2,d3)
if (abs(eps-eps0).lt.tol*abs(eps0)) then
return
endif
lt1=lt
eps1=eps
! write(*,"(i4,1P12E19.10)") 0,lr,lt0,y,lt,eps,eps0,abs(eps-eps0)/eps0,d2
! write(*,"(i4,1P12E19.10)") 0,lr,lt0,y,ltmin,ltmax
do i=1,itmax
!d2 is the derivative deps/dlogtemp;
ldt = -(eps - eps0)/d2
! if(ldt.gt.0.d0) ltmin=lt
! if(ldt.le.0.d0) ltmax=lt
ltn = lt+ldt
ltn = min(ltn,ltmax)
ltn = max(ltn,ltmin)
lt1=lt
lt=ltn
eps1=eps
! write(*,"(i4,1P12E19.10)") i,lr,lt0,y,lt,eps,eps0,abs(eps-eps0)/eps0,d2,ldt
call findthis(lr,lt,y,eps,alltables(:,:,:,2),d1,d2,d3)
! call findthis(lr,lt,y,eps,epst,d1,d2,d3)
if (abs(eps - eps0).lt.tol*abs(eps0)) then
! write(*,"(1P12E19.10)") tol,abs(eps-eps0)/eps0
exit
endif
!setup new d2
! if we are closer than 10^-2 to the
! root (eps-eps0)=0, we are switching to
! the secant method, since the table is rather coarse and the
! derivatives may be garbage.
if(abs(eps-eps0).lt.1.0d-3*abs(eps0)) then
d2 = (eps-eps1)/(lt-lt1)
endif
! if(i.ge.10) then
! write(*,*) "EOS: Did not converge in findtemp!"
! write(*,*) "rl,logrho,logtemp0,ye,lt,eps,eps0,abs(eps-eps0)/eps0"
! if(i.gt.5) then
! write(*,"(i4,1P10E22.14)") i,lr,lt0,y,lt,eps,eps0,abs(eps-eps0)/eps0
! endif
enddo
if(i.ge.itmax) then
keyerrt=667
call bisection(lr,lt0,y,eps0,lt,alltables(:,:,:,2),keyerrt,1)
if(keyerrt.eq.667) then
if(lt.ge.log10(t_max_hack)) then
! handling for too high temperatures
lt = log10(t_max_hack)
keyerrt=0
goto 12
else if(abs(lt-log10(t_max_hack))/log10(t_max_hack).lt.0.025d0) then
lt0 = min(lt,log10(t_max_hack))
keyerrt=0
goto 12
else
! total failure
write(*,*) "EOS: Did not converge in findtemp!"
write(*,*) "rl,logrho,logtemp0,ye,lt,eps,eps0,abs(eps-eps0)/eps0"
write(*,"(i4,i4,1P10E19.10)") i,rl,lr,lt0,y,lt,eps,eps0,abs(eps-eps0)/eps0
write(*,*) "Tried calling bisection... didn't help... :-/"
write(*,*) "Bisection error: ",keyerrt
endif
endif
lt0=min(lt,log10(t_max_hack))
return
endif
12 continue
lt0=min(lt,log10(t_max_hack))
end subroutine findtemp
subroutine findtemp_entropy(lr,lt0,y,sin,keyerrt,rfeps)
! This routine finds the new temperature based
! on rho, Y_e, entropy
use eosmodule
implicit none
real*8 lr,lt0,y,sin
real*8 s,lt,ldt
real*8 tol
real*8 d1,d2,d3
real*8 s0,s1,lt1
real*8 ltn,ltmax,ltmin
real*8 tinput,rfeps
integer :: rl = 0
integer itmax,i,keyerrt
integer ii,jj,kk
keyerrt=0
tol=rfeps ! need to find energy to less than 1 in 10^-10
itmax=20 ! use at most 20 iterations, then bomb
lt=lt0
lt1=lt
s0=sin
s1=s0
ltmax=logtemp(ntemp)
ltmin=logtemp(1)
!preconditioning 1: do we already have the right temperature?
call findthis(lr,lt,y,s,alltables(:,:,:,3),d1,d2,d3)
if (abs(s-s0).lt.tol*abs(s0)) then
return
endif
lt1=lt
s1=s
do i=1,itmax
!d2 is the derivative ds/dlogtemp;
ldt = -(s - s0)/d2
ltn = lt+ldt
ltn = min(ltn,ltmax)
ltn = max(ltn,ltmin)
lt1=lt
lt=ltn
s1=s
call findthis(lr,lt,y,s,alltables(:,:,:,3),d1,d2,d3)
if (abs(s - s0).lt.tol*abs(s0)) then
exit
endif
!setup new d2
! if we are closer than 10^-2 to the
! root (eps-eps0)=0, we are switching to
! the secant method, since the table is rather coarse and the
! derivatives may be garbage.
if(abs(s-s0).lt.1.0d-3*abs(s0)) then
d2 = (s-s1)/(lt-lt1)
endif
enddo
if(i.ge.itmax) then
keyerrt=667
call bisection(lr,lt0,y,s0,lt,alltables(:,:,:,3),keyerrt,2)
if(keyerrt.eq.667) then
write(*,*) "EOS: Did not converge in findtemp_entropy!"
write(*,*) "rl,logrho,logtemp0,ye,lt,s,s0,abs(s-s0)/s0"
write(*,"(i4,i4,1P10E19.10)") i,rl,lr,lt0,y,lt,s,s0,abs(s-s0)/s0
write(*,*) "Tried calling bisection... didn't help... :-/"
write(*,*) "Bisection error: ",keyerrt
endif
lt0=lt
return
endif
lt0=lt
end subroutine findtemp_entropy
|
