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c-------------------------------------------------------------------------
c Compute machine epsilon, i.e, the smallest real or double precision
c number EPS such that (1.0 + EPS > 1.0). This calculation is tricky
c because of the optimizations performed by some compilers, and because
c a comparison performed in registers may be done to a higher precision
c than one involving variables. This program contains some minor
c violations of the F78 standard.
c-------------------------------------------------------------------------
program epsilo
real seps
double precision deps
write (*,*) 'Calculate Machine Epsilon ------'
call cseps (seps)
call cdeps (deps)
write (*,*) ' single precision epsilon: ', seps
write (*,*) ' double precision epsilon: ', deps
write (*,*) ' '
write (*,*) 'Verify Values -----'
write (*, '('' enter s.p. epsilon: '',$)')
read (*,*) seps
if (1.0 + seps .gt. 1.0) then
write (*,*) ' ok'
else
write (*,*) ' not ok'
endif
write (*, '('' enter d.p. epsilon: '',$)')
read (*,*) deps
if (1.0 + deps .gt. 1.0) then
write (*,*) ' ok'
else
write (*,*) ' not ok'
endif
stop
end
c -- Compute the single precision epsilon.
subroutine cseps (seps)
real seps
real sval
double precision dval
logical sgt
common /eps/ sval, dval
save /eps/
sval = 1.0
10 seps = sval
sval = sval / 2.0
if (sgt (1.0)) then
goto 10
endif
end
c -- Is SVAL + 1.0 greater than 1.0?
logical function sgt (value)
real value, sval, stemp
double precision dval
common /eps/ sval, dval
save /eps/
stemp = sval + 1.0
sgt = (stemp .gt. value)
end
c -- Compute the double precision epsilon.
subroutine cdeps (deps)
double precision deps
double precision dval
real sval
logical dgt
common /eps/ sval, dval
save /eps/
dval = 1.0d0
10 deps = dval
dval = dval / 2.0d0
if (dgt (1.0d0)) then
goto 10
endif
end
c -- Is DVAL + 1.0 greater than 1.0?
logical function dgt (value)
double precision value
double precision dval, dtemp
real sval
common /eps/ sval, dval
save /eps/
dtemp = dval + 1.0d0
dgt = (dtemp .gt. value)
end
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