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Il Linguaggio Fortran 90/95

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5.7 Interfacce esplicite ed implicite 243<br />

IMPLICIT NONE<br />

INTEGER, PARAMETER :: dp = KIND(1D0)<br />

REAL(KIND=dp), INTENT(INOUT) :: x<br />

REAL(KIND=dp), INTENT(IN) :: eps<br />

REAL(KIND=dp), EXTERNAL :: f, df<br />

INTEGER, INTENT(IN) :: nmax<br />

END SUBROUTINE newton<br />

END INTERFACE<br />

eps = 1.0E-6_dp<br />

nmax = 100<br />

x = 4.0_dp<br />

CALL newton(f,df,x,nmax,eps)<br />

END PROGRAM main<br />

SUBROUTINE newton(f,df,x,nmax,eps)<br />

! Scopo: applica l’algoritmo di Newton-Raphson per la valutazione<br />

! dello zero di una funzione reale di una variabile reale<br />

IMPLICIT NONE<br />

INTEGER, PARAMETER :: dp=KIND(1D0)<br />

REAL(KIND=dp), INTENT(INOUT) :: x<br />

REAL(KIND=dp), INTENT(IN) :: eps<br />

REAL(KIND=dp), external :: f, df<br />

INTEGER, INTENT(IN) :: nmax<br />

REAL(KIND=dp) :: fx<br />

INTEGER :: n=0<br />

WRITE(UNIT=*,FMT=’(1X,"n",12X,"x",19X,"f(x)",/,46("="))’)<br />

fx = f(x)<br />

WRITE(UNIT=*,FMT="(1X,I2,1X,F20.16,1X,F20.16)") n, x, fx<br />

DO n = 1,nmax<br />

x = x - fx/df(x)<br />

fx = f(x)<br />

WRITE(UNIT=*,FMT="(1X,I2,1X,F20.16,1X,F20.16)") n, x, fx<br />

IF(ABS(fx)

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