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Polynom_Mod.f90
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Polynom_Mod.f90
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MODULE Polynom_Mod
IMPLICIT NONE
TYPE PKoeff_T
INTEGER :: Grad
REAL(8), ALLOCATABLE :: Koeff(:)
END TYPE PKoeff_T
CONTAINS
SUBROUTINE CopyPolynom(P1,P2)
TYPE(PKoeff_T), INTENT(OUT) :: P1
TYPE(PKoeff_T), INTENT(IN) :: P2
IF (ALLOCATED(P1%Koeff)) THEN
DEALLOCATE(P1%Koeff)
END IF
P1%Grad=P2%Grad
ALLOCATE(P1%Koeff(0:P1%Grad))
P1%Koeff=P2%Koeff
END SUBROUTINE CopyPolynom
SUBROUTINE MultPolynom(P,P1,P2)
TYPE(PKoeff_T), INTENT(INOUT) :: P
TYPE(PKoeff_T), INTENT(IN) :: P1,P2
INTEGER :: i,s,GradP,GradP1,GradP2
REAL(8) :: KoeffP1(0:P1%Grad+P2%Grad)
REAL(8) :: KoeffP2(0:P1%Grad+P2%Grad)
GradP1=P1%Grad
GradP2=P2%Grad
KoeffP1=0.0d0
KoeffP2=0.0d0
KoeffP1(0:P1%Grad)=P1%Koeff(0:GradP1)
KoeffP2(0:P2%Grad)=P2%Koeff(0:GradP2)
GradP=GradP1+GradP2
IF (ALLOCATED(P%Koeff)) THEN
IF (GradP>SIZE(P%Koeff(1:))) THEN
DEALLOCATE(P%Koeff)
ALLOCATE(P%Koeff(0:GradP))
END IF
ELSE
ALLOCATE(P%Koeff(0:GradP))
END IF
P%Koeff=0.0d0
DO s=0,GradP
DO i=0,s
P%Koeff(s)=P%Koeff(s)+KoeffP1(i)*KoeffP2(s-i)
END DO
END DO
P%Grad=GradP
END SUBROUTINE MultPolynom
SUBROUTINE AddPolynom(P,P1,P2)
TYPE(PKoeff_T), INTENT(INOUT) :: P
TYPE(PKoeff_T), INTENT(IN) :: P1,P2
INTEGER :: s,GradP,GradP1,GradP2
REAL(8) :: KoeffP1(0:P1%Grad+P2%Grad)
REAL(8) :: KoeffP2(0:P1%Grad+P2%Grad)
GradP1=P1%Grad
GradP2=P2%Grad
KoeffP1=0.0d0
KoeffP2=0.0d0
KoeffP1(0:GradP1)=P1%Koeff(0:GradP1)
KoeffP2(0:GradP2)=P2%Koeff(0:GradP2)
GradP=MAX(GradP1,GradP2)
IF (ALLOCATED(P%Koeff)) THEN
IF (GradP>SIZE(P%Koeff(1:))) THEN
DEALLOCATE(P%Koeff)
ALLOCATE(P%Koeff(0:GradP))
END IF
ELSE
ALLOCATE(P%Koeff(0:GradP))
END IF
P%Koeff=0.0d0
DO s=0,GradP
P%Koeff(s)=KoeffP1(s)+KoeffP2(s)
END DO
P%Grad=GradP
END SUBROUTINE AddPolynom
SUBROUTINE AddPolynomScalar(P,P1,Val,P2)
TYPE(PKoeff_T), INTENT(INOUT) :: P
TYPE(PKoeff_T), INTENT(IN) :: P1
REAL(8) :: Val
TYPE(PKoeff_T), INTENT(IN) :: P2
INTEGER :: s,GradP,GradP1,GradP2
REAL(8) :: KoeffP1(0:P1%Grad+P2%Grad)
REAL(8) :: KoeffP2(0:P1%Grad+P2%Grad)
GradP1=P1%Grad
GradP2=P2%Grad
KoeffP1=0.0d0
KoeffP2=0.0d0
KoeffP1(0:GradP1)=P1%Koeff(0:GradP1)
KoeffP2(0:GradP2)=P2%Koeff(0:GradP2)
GradP=MAX(GradP1,GradP2)
IF (ALLOCATED(P%Koeff)) THEN
IF (GradP>SIZE(P%Koeff(1:))) THEN
DEALLOCATE(P%Koeff)
ALLOCATE(P%Koeff(0:GradP))
END IF
ELSE
ALLOCATE(P%Koeff(0:GradP))
END IF
P%Koeff=0.0d0
DO s=0,GradP
P%Koeff(s)=KoeffP1(s)+Val*KoeffP2(s)
END DO
P%Grad=GradP
END SUBROUTINE AddPolynomScalar
SUBROUTINE AddScalarPolynom(P,Val,Pos)
TYPE(PKoeff_T), INTENT(INOUT) :: P
REAL(8) :: Val
INTEGER :: Pos
INTEGER :: GradP
REAL(8) :: PKoeff(0:MAX(Pos,P%Grad))
GradP=MAX(Pos,P%Grad)
IF (ALLOCATED(P%Koeff)) THEN
IF (GradP>SIZE(P%Koeff(1:))) THEN
PKoeff=0.0d0
PKoeff(0:P%Grad)=P%Koeff(0:P%Grad)
DEALLOCATE(P%Koeff)
ALLOCATE(P%Koeff(0:GradP))
P%Grad=GradP
P%Koeff(0:P%Grad)=PKoeff(0:P%Grad)
END IF
ELSE
ALLOCATE(P%Koeff(0:GradP))
P%Koeff=0.0d0
END IF
P%Koeff(Pos)=P%Koeff(Pos)+Val
P%Grad=GradP
END SUBROUTINE AddScalarPolynom
SUBROUTINE MultScalarPolynom(P,Val)
TYPE(PKoeff_T), INTENT(INOUT) :: P
REAL(8) :: Val
IF (ALLOCATED(P%Koeff)) THEN
P%Koeff(0:P%Grad)=P%Koeff(0:P%Grad)*Val
ELSE
ALLOCATE(P%Koeff(0:0))
P%Grad=0
P%Koeff=0.0d0
END IF
END SUBROUTINE MultScalarPolynom
SUBROUTINE IntegratePolynom(P,P1)
TYPE(PKoeff_T), INTENT(INOUT) :: P
TYPE(PKoeff_T), INTENT(IN) :: P1
INTEGER :: s,GradP
REAL(8) :: KoeffP1(0:P1%Grad)
KoeffP1=P1%Koeff
GradP=P1%Grad+1
IF (ALLOCATED(P%Koeff)) THEN
IF (GradP>SIZE(P%Koeff(1:))) THEN
DEALLOCATE(P%Koeff)
ALLOCATE(P%Koeff(0:GradP))
END IF
ELSE
ALLOCATE(P%Koeff(0:GradP))
END IF
P%Koeff=0.0d0
DO s=1,GradP
P%Koeff(s)=KoeffP1(s-1)/FLOAT(s)
END DO
P%Grad=GradP
END SUBROUTINE IntegratePolynom
SUBROUTINE UnitPolynom(P)
TYPE(PKoeff_T), INTENT(INOUT) :: P
IF (ALLOCATED(P%Koeff)) THEN
DEALLOCATE(P%Koeff)
END IF
P%Grad=0
ALLOCATE(P%Koeff(0:0))
P%Koeff(0)=1.0d0
END SUBROUTINE UnitPolynom
SUBROUTINE PowerOnePolynom1(P)
TYPE(PKoeff_T), INTENT(INOUT) :: P
IF (ALLOCATED(P%Koeff)) THEN
DEALLOCATE(P%Koeff)
END IF
P%Grad=1
ALLOCATE(P%Koeff(0:P%Grad))
P%Koeff(0)=0.0d0
P%Koeff(1)=1.0d0
END SUBROUTINE PowerOnePolynom1
SUBROUTINE PowerOnePolynom(P)
TYPE(PKoeff_T), INTENT(INOUT) :: P(:)
INTEGER :: i
DO i=1,UBOUND(P,1)
IF (ALLOCATED(P(i)%Koeff)) THEN
DEALLOCATE(P(i)%Koeff)
END IF
P(i)%Grad=1
ALLOCATE(P(i)%Koeff(0:P(i)%Grad))
P(i)%Koeff(0)=0.0d0
P(i)%Koeff(1)=1.0d0/FLOAT(i)
END DO
END SUBROUTINE PowerOnePolynom
FUNCTION ValuePolynom(P,dt)
REAL(8) :: ValuePolynom
TYPE(PKoeff_T) :: P
REAL(8) :: dt
INTEGER :: s
ValuePolynom=P%Koeff(P%Grad)
DO s=P%Grad-1,0,-1
ValuePolynom=ValuePolynom*dt+P%Koeff(s)
END DO
END FUNCTION ValuePolynom
END MODULE Polynom_Mod