Meaning of the command interval(inn,idum)? - fortran

Having a foundation as a theoretical physicist, I am not a programmer, but I need to pursue a lecture.
I need for a simulation of a quartic matrix model. The problem I encounter is that I have the solution to the program (from my teacher), but I need to decorate it.
When I insert the command interval(medium,inn) to define my lambda, I haven't any output, so what can I do?
real x0
pi=dacos(-1.0d0)
idum=-148175
x0=0.0d0
idum=idum-2*int(secnds(x0))
r=ran2(idum)
inn=1.0d0
do i=1,N
lambda(i)=interval(idum,inn)
enddo
write(*,*) i,lambda
The code I have found is like that, where idum is defined as in integer and interval as double precision.
Reading the error, I think my compilation didn't recognize the notation interval:
C:\Users\CCM\AppData\Local\Temp\ccSSP1fD.o: In function `quartic_matrix_model':
C:/Users/CCM/Desktop/lattice field/Quartic_matrix_model.f:24: undefined reference to `_interval_'
collect2: ld returned 1 exit status

Related

Moment of inertia in fortran [duplicate]

This question already has answers here:
Modern Fortran equivalent of an action statement shared by nested DO and GO TO
(1 answer)
Function has no implicit type
(4 answers)
Closed 1 year ago.
I am trying to calculate the moment of inertia in fortran. The formula I am using is following: The code I am using:
program moment
implicit none
real :: cR,h,rho0,a,b,c,d,resultV,pi,resultMI,aMass,exactresMI,exactresV,r,res,z,rho
integer :: m,n
! rho0 = density, cR=capital R( radius),h= height )
rho0=10000
cR=0.05
h=0.1
a=0.d0
b=h
c=0.d0
d=cR
m=1000
n=1000
call cheb2(a,b,m,c,d,n,funV,res)
pi=4*datan(1.d0)
resultV=res*2*pi
exactresV= pi/3*cR**2*h
write(*,*)
write(*,*) "Numerical volume result =", resultV
write(*,*) "Exact volume result = ",exactresV
call cheb2(a,b,m,c,d,n,funV,res)
resultMI=res*2*pi
aMass=exactresV*rho0
exactresMI=3/10.*aMass*cR**2
write(*,*)
write(*,*) "Numerical Moment of Inertia result =", resultMI
write(*,*) "Exact Moment of Inertia result = ",exactresMI
end program
function funV(z,r)
if (r.gt.z*cR/h) then
rho=0.d0
else
rho=1.d0
end if
funV=rho*r
return
end
function funMI(z,r)
if (r.gt.z*cR/h) then
rho=rho0
else
rho=1.d0
endif
funMI=rho*r**3
return
end
include "CHEB.FOR"
Our instructor does not use "implicit none" , so I am really new to this operator. Out instructor gave us CHEB.FOR code for calculating 2 dimensional integrals. I am writing it here:
subroutine ch4xy(al,bl,cl,dl,f,ri)
implicit double precision (a-h,o-z)
common/ttxy/ t1,t2
dimension xx(4),yy(4)
c1=(al+bl)/2.d0
c2=(dl+cl)/2.d0
d1=(-al+bl)/2.d0
d2=(dl-cl)/2.d0
xx(1)=c1+d1*t1
xx(2)=c1+d1*t2
yy(1)=c2+d2*t1
yy(2)=c2+d2*t2
xx(3)=c1-d1*t1
xx(4)=c1-d1*t2
yy(3)=c2-d2*t1
yy(4)=c2-d2*t2
ss=0
do 3 i=1,4
do 3 j=1,4
ss=ss+f(xx(i),yy(j))
3 continue
ri=ss*d1*d2/4.d0
return
end
subroutine cheb2(a,b,m,c,d,n,f,r)
implicit double precision (a-h,o-z)
external f
common/ttxy/ t1,t2
t1=0.187592
t2=0.794654
hx=(b-a)/m
hy=(d-c)/n
rr=0
do 5 i=1,m
do 5 j=1,n
aa=a+(i-1)*hx
bb=aa+hx
cc=c+(j-1)*hy
dd=cc+hy
call ch4xy(aa,bb,cc,dd,f,ri)
rr=rr+ri
5 continue
r=rr
return
end
When I compile the file, a couple of errors and a warning appear:
CHEB.FOR:19:17:
19 | do 3 j=1,4
| 1
Warning: Fortran 2018 deleted feature: Shared DO termination label 3 at (1)
CHEB.FOR:36:11:
36 | do 5 j=1,n
| 1
Warning: Fortran 2018 deleted feature: Shared DO termination label 5 at (1)
momentOFinertia.f95:17:27:
17 | call cheb2(a,b,m,c,d,n,funV,res)
| 1
Error: Symbol 'funv' at (1) has no IMPLICIT type
First, I dont understand why funV is unclassifiable statement, it classifies as a function. Second, our instructor used some old operations which is apparently not valid in new fortran. I dont know what could replace "shared do".
The main problem (fixed by your edit)is that your code misses an end or end program at the end. Alternatively, you could put an end program after your functions and contains between the subroutine and the main program body. That would make the functions to be internal subprograms and would fix your other problem - no implicit type for the functions.
This - putting the functions inside the program as internal subprograms, allows the program to "see" them and then the program can correctly pass them to other procedures. Alternatively, you could make an interface block for them or declare their type and let them be external. See Why do I have to specify implicitly for a double precision return value of a function in Fortran? for more.
You also have a type mismatch. The code you got from your instructor uses double precision but your code uses the default real. You have to synchronize that. Update your code to double precision, either using double precision or using real kinds.
The compiler also warns you that your program is using deleted features. These features were deleted in modern revisions of the Fortran standards. However, the compiler remain largely backwards compatible and will compile the code including those features anyway, unless you request strictly a certain standard revision.
In this case two do-loops use one common continue statement
do 5 ...
do 5 ...
5 continue
This is not allowed and can be fixed by inserting another continue with another label or, better, by using end do.

Fortran Type mismatch in argument n at 1 passed REAL(8) to integer (4)

I'm having a problem with a fortran 77 project (Yes i know it's archaic, but my prof requres us to program in fixed form fortran)
So I'm having a problem with a subroutine, which should read an N dimension Vector, which should be a column. the code for this looks like: (its still an early draft for my homework, just trying to figure out how to call a subroutine the rest of the code will be done if i can compile this problem)
Program gauss
implicit double precision (A-H,O-Z)
!he directly asked for implicit typing
call Vread(V(N))
end program
Subroutine Vread(V,N)
Implicit double precision (A-H,O-Z)
dimension V(N)
read(*,*) (V(I),I=1,N)
return
end
So my problem is: If I try to compile it with gfortran gauss.exe -o gauss.f the compiler returns with error:
Type mismatch argument 'n' at(1); passed REAL(8) to Integer(4)
In your main program you write
call Vread(V(N)) ! this passes a rank-1 vector with N elements
but your subroutine is declared
Subroutine Vread(V,N) ! this requires 2 arguments
Change the call to
call Vread(V,N)
and let your professor know that the 21st Century arrived a while age. Note too that it is possible to write 21C Fortran in fixed-form. It doesn't make much sense, but might enable you to toe the line while developing in a more modern version of the language.
!he directly asked for implicit typing
I trust that you are in a jurisdiction where you do not pay directly for your education. If you are paying fees then demand more, you're being cheated.

Newton Raphson does not converge with certain initial guess

program newton_raphson
implicit none
real,parameter::error=1e-4
integer::i
real::xo,x1,f,fd
print*,"Please enter the initial guess !!!"
read*,xo
i=1
10 x1=xo-(f(xo)/fd(xo))
if(abs((x1-xo)/x1)<error) then
print*,"root is", x1,"no. of iteration=",i
else
xo=x1
i=i+1
goto 10
endif
end
real function f(x)
real::x
f=cos(x)
end
real function fd(x)
real::x
fd=-sin(x)
end
This program works fine when I give 1 as an initial guess, but fails or doesn't show up anything when I give 0 as an initial guess. Is there any mistake with my code.
Although the Newton–Raphson method converges fast near the root, its global
convergence characteristics are poor. The reason is that the tangent line is not always an acceptable approximation of the function, so could try to combine your code with bisection method, and this way you can improve the results.

Does fortran function pass by const reference?

I'm learning how to use functions in fortran and I came across several cases which made me believe that fortran function pass the argument by const reference. When I say "pass by const reference", I'm saying it in C++ sense. I searched online and didn't find related documents. The code which makes me believe fortran functions pass arguments by const reference is as follows.
program try
implicit none
real sq
real a,b
write(*,*) sq(2)
a=2
write(*,*) sq(a)
end program
real function sq(x)
real x
sq=x**2
return
end
The output for this is
0.0000000E+00
4.000000
This result supports the idea that fortran functions pass arguments by reference, since sq(2) doesn't work. After this code, I put a new line x=x+1 inside the definition of sq. The code looks like
program try
implicit none
real sq
real a,b
write(*,*) sq(2)
a=2
write(*,*) sq(a)
end program
real function sq(x)
real x
x=x+1
sq=x**2
return
end
This code does compile, but when I run it, it gives the following error
forrtl: severe (180): SIGBUS, bus error occurred
Image PC Routine Line Source
a.out 00000001000014DB Unknown Unknown Unknown
a.out 000000010000144C Unknown Unknown Unknown
Stack trace terminated abnormally.
I guess I got this error because I can't modify the argument inside the function definition, which makes me believe that the argument is passed by const reference. The compiler I'm using is ifort 12.0.0. I'm running it on Mac OS X 10.6.8. Can anyone tell me whether my guess is true?
Update: According to the comment of #Jean, after modifying sq(2) to sq(2.0). The first example will work, the second one still gives the same error. The modified version of the first example is
program try
implicit none
real sq
real a,b
write(*,*) sq(2.0)
a=2
write(*,*) sq(a)
end program
real function sq(x)
real x
sq=x**2
return
end
The output is
4.000000
4.000000
I don't know why this simple modification will work. Hopefully someone can clarify for me.
As pointed out in the comments, you should use explicit interfaces. Then the compiler is able to check argument types. There are different possibilities to do that. For larger programs use modules, for smaller ones, you can include your procedure in the main program by using the contains keyword.
Here is a slightly modified version of your code:
program try
implicit none
real a,b
write(*,*) sq(2.0)
a=2
write(*,*) sq(a)
contains
real function sq(x)
real, value :: x
x=x+1
sq=x**2
return
end
end program
What's new?
the function is included in the main program with the contains keyword. When doing so, you don't have to declare sq like you did before in your third line. Also, the compiler can now check the argument type. Try to write 2 instead of 2.0 and see what happens.
You are right about the references. In Fortran arguments are passed by reference. If your argument is not a variable but just a number, then you can not change it within the procedure because it is constant. If you want variables to be passed by value, use the value keyword.

Function in fortran, passing array in, receiving array out

I have this function, depicted below. It passes in two vectors with three values each, and should pass out one vector with three values as well. I call the function like this:
Fr = Flux(W(:,i),W(:,i+1))
What I have realized through messing around with the code, trying pure functions, and modules, and researching the error statement (that I will include at the bottom), is that fortran is reading my function Flux, and thinks that the input vectors are an attempt to call an entry from the array. That is my best guess as to what is going on. I asked around the lab and most people suggested using subroutines, but that seemed clunky, and I figured there should probably be a more elegant way, but I have not yet found it. I tried to define a result by saying:
DOUBLE PRECISION FUNCTION Flux(W1,W2) Result(FluxArray(3))
and then returning fluxarray but that does not work, as fortran cannot understand the syntax
The actual Function is this:
DOUBLE PRECISION FUNCTION Flux(W1,W2)
USE parameters
IMPLICIT NONE
DOUBLE PRECISION, DIMENSION(3), INTENT(IN)::W1, W2
DOUBLE PRECISION, DIMENSION(3), INTENT(OUT):: Flux
DOUBLE PRECISION, DIMENSION(3):: F1, F2
DOUBLE PRECISION::U1,U2,Rh1,Rh2,P1,P2,E1,E2,Rh,P,u,c,Lambda
INTEGER:: k
U1=W1(2)/W1(1)
U2=W2(2)/W2(1)
Rh1=W1(1)
Rh2=W2(1)
P1=(gamma_constant-1.d0)*(W1(3)-.5d0*Rh1*U1**2)
P2=(gamma_constant-1.d0)*(W2(3)-.5d0*Rh2*U2**2)
E1=W1(3)
E2=W2(3)
F1=[Rh1*U1,Rh1*U1**2+P1,(E1+P1)*U1]
F2=[Rh2*U2,Rh2*U2**2+P2,(E2+P2)*U2]
Rh=.5d0*(Rh1+Rh2)
P=.5d0*(P1+P2)
u=.5d0*(U1+U2)
c=sqrt(gamma_constant*P/Rh)
Lambda=max(u, u+c, u-c)
do k=1,3,1
Flux(k)=.5d0*(F1(k)+F2(k))-.5d0*eps*Lambda*(W2(k)-W1(k))
end do
RETURN
END FUNCTION Flux
Here is the error statement:
Quasi1DEuler.f90:191.51:
DOUBLE PRECISION, DIMENSION(3), INTENT(OUT):: Flux
1
Error: Symbol 'flux' at (1) already has basic type of REAL
Quasi1DEuler.f90:217.58:
Flux(k)=.5d0*(F1(k)+F2(k))-.5d0*eps*Lambda*(W2(k)-W1(k))
1
Error: Unexpected STATEMENT FUNCTION statement at (1)
Quasi1DEuler.f90:76.18:
Fr = Flux(W(:,i),W(:,i+1))
The last error occurs for both Fr and Fl. Thank you for your time and any help or consideration you can give!
EDIT/Follow-up::
Thanks for the help, I don't know a better way to present this so I'm going to edit the initial question.
I did as you suggested and It solved that issue, now it says:
Fr = Flux(W(:,i),W(:,i+1))
1
Error: The reference to function 'flux' at (1) either needs an explicit INTERFACE or the rank is incorrect
I saw a similar issue on SO at this link:
Computing the cross product of two vectors in Fortran 90
where they suggested that he put all his functions into modules. is there a better/simpler way for me to fix this error?
With RESULT(FluxArray), fluxArray is the name of the result variable. As such, your attempt to declare the characteristics in the result clause are mis-placed.
Instead, the result variable should be specified within the function body:
function Flux(W1,W2) result(fluxArray)
double precision, dimension(3), intent(in)::W1, W2
double precision, dimension(3) :: fluxArray ! Note, no intent for result.
end function Flux
Yes, one can declare the type of the result variable in the function statement, but the array-ness cannot be declared there. I wouldn't recommend having a distinct dimension statement in the function body for the result variable.
Note that, when referencing a function returning an array it is required that there be an explicit interface available to the caller. One way is to place the function in a module which is used. See elsewhere on SO, or language tutorials, for more details.
Coming to the errors from your question without the result.
DOUBLE PRECISION FUNCTION Flux(W1,W2)
DOUBLE PRECISION, DIMENSION(3), INTENT(OUT):: Flux
Here the type of Flux has been declared twice. Also, it isn't a dummy argument to the function, so as above it need not have the intent attribute.
One could write
FUNCTION Flux(W1,W2)
DOUBLE PRECISION, DIMENSION(3) :: Flux ! Deleting intent
or (shudder)
DOUBLE PRECISION FUNCTION Flux(W1,W2)
DIMENSION :: Flux(3)
The complaint about a statement function is unimportant here, following on from the bad declaration.