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! File diffsumfunq.pyf
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python module diffsumfunq
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interface
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subroutine disufq(rvec, ivec, rA, iA, w, kw, h, g,nmin,nmax, m, n)
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intent(c) disufq ! disufq is a C function
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intent(c) ! all disufq arguments are considered as C based
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integer intent(hide), depend(rA),check(n==shape(iA,0)) :: n=shape(rA,0)
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integer intent(hide), depend(rA), check(m==shape(iA,1)) :: m=shape(rA,1)
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double precision dimension(n,m), intent(in) :: rA, iA ! input array
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double precision dimension(n), intent(in) :: w, kw ! input array
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double precision intent(in) :: h, g
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integer intent(in) :: nmin, nmax
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double precision dimension(n,m), intent(out) :: rvec, ivec ! output array,
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end subroutine disufq
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subroutine disufq2(rsvec, isvec,rdvec, idvec, rA, iA, w, kw, h, g,nmin,nmax, m, n)
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intent(c) disufq2 ! disufq2 is a C function
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intent(c) ! all disufq2 arguments are considered as C based
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integer intent(hide), depend(rA),check(n==shape(iA,0)) :: n=shape(rA,0)
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integer intent(hide), depend(rA), check(m==shape(iA,1)) :: m=shape(rA,1)
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double precision dimension(n,m), intent(in) :: rA, iA ! input array
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double precision dimension(n), intent(in) :: w, kw ! input array
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double precision intent(in) :: h, g
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integer intent(in) :: nmin, nmax
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double precision dimension(n,m), intent(out) :: rsvec, isvec, rdvec, idvec ! output array,
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end subroutine disufq
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end interface
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end python module diffsumfunq
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! File diffsumfunq.pyf
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python module diffsumfunq
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interface
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subroutine disufq(rvec, ivec, rA, iA, w, kw, h, g,nmin,nmax, m, n)
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intent(c) disufq ! disufq is a C function
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intent(c) ! all disufq arguments are considered as C based
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integer intent(hide), depend(rA),check(n==shape(iA,0)) :: n=shape(rA,0)
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integer intent(hide), depend(rA), check(m==shape(iA,1)) :: m=shape(rA,1)
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double precision dimension(n,m), intent(in) :: rA, iA ! input array
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double precision dimension(n), intent(in) :: w, kw ! input array
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double precision intent(in) :: h, g
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integer intent(in) :: nmin, nmax
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double precision dimension(n,m), intent(out) :: rvec, ivec ! output array,
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end subroutine disufq
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subroutine disufq2(rsvec, isvec,rdvec, idvec, rA, iA, w, kw, h, g,nmin,nmax, m, n)
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intent(c) disufq2 ! disufq2 is a C function
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intent(c) ! all disufq2 arguments are considered as C based
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integer intent(hide), depend(rA),check(n==shape(iA,0)) :: n=shape(rA,0)
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integer intent(hide), depend(rA), check(m==shape(iA,1)) :: m=shape(rA,1)
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double precision dimension(n,m), intent(in) :: rA, iA ! input array
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double precision dimension(n), intent(in) :: w, kw ! input array
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double precision intent(in) :: h, g
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integer intent(in) :: nmin, nmax
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double precision dimension(n,m), intent(out) :: rsvec, isvec, rdvec, idvec ! output array,
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end subroutine disufq
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end interface
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end python module diffsumfunq
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#include "math.h"
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/*
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* DISUFQ Is an internal function to spec2nlsdat
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*
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* CALL: disufq(rvec,ivec,rA,iA, w,kw,h,g,nmin,nmax,m,n)
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*
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* rvec, ivec = real and imaginary parts of the resultant (size m X n).
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* rA, iA = real and imaginary parts of the amplitudes (size m X n).
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* w = vector with angular frequencies (w>=0)
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* kw = vector with wavenumbers (kw>=0)
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* h = water depth (h >=0)
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* g = constant acceleration of gravity
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* nmin = minimum index where rA(:,nmin) and iA(:,nmin) is
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* greater than zero.
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* nmax = maximum index where rA(:,nmax) and iA(:,nmax) is
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* greater than zero.
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* m = size(rA,1),size(iA,1)
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* n = size(rA,2),size(iA,2), or size(rvec,2),size(ivec,2)
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*
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* DISUFQ returns the summation of difference frequency and sum
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* frequency effects in the vector vec = rvec +sqrt(-1)*ivec.
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* The 2'nd order contribution to the Stokes wave is then calculated by
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* a simple 1D Fourier transform, real(FFT(vec)).
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*
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* Install gfortran and run the following to build the module:
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* f2py diffsumfunq.pyf disufq1.c -c --fcompiler=gnu95 --compiler=mingw32 -lmsvcr71
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*
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* by Per Andreas Brodtkorb 15.08.2001
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* revised pab 14.03.2002, 01.05.2002 22.07.2002, oct 2008
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*/
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void disufq(double *rvec, double *ivec,
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double *rA, double *iA,
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double *w, double *kw,
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double h, double g,
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int nmin, int nmax,
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int m, int n)
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{
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double Epij, Edij;
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double tmp1, tmp2, tmp3, tmp4, kfact;
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double w1, w2, kw1, kw2, Cg;
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double rrA, iiA, riA, irA;
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int i,jy,ix,iz1,iv1,ixi,jyi;
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//int iz2, iv2;
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//Initialize rvec and ivec to zero
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for (ix=0;ix<n*m;ix++) {
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rvec[ix] = 0.0;
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ivec[ix] = 0.0;
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}
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// kfact is set to 2 in order to exploit the symmetry.
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// If you set kfact to 1, you must uncomment all statements
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// including the expressions: rvec[iz2], rvec[iv2], ivec[iz2] and ivec[iv2].
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kfact = 2.0;
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if (h>10000){ /* deep water /Inifinite water depth */
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for (ix = nmin-1;ix<nmax;ix++) {
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ixi = ix*m;
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iz1 = 2*ixi;
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//iz2 = n*m-ixi;
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kw1 = kw[ix];
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Epij = kw1;
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for (i=0;i<m;i++,ixi++,iz1++) {
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rrA = rA[ixi]*rA[ixi]; ///
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iiA = iA[ixi]*iA[ixi]; ///
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riA = rA[ixi]*iA[ixi]; ///
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/// Sum frequency effects along the diagonal
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tmp1 = kfact*(rrA-iiA)*Epij;
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tmp2 = kfact*2.0*riA*Epij;
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rvec[iz1] += tmp1;
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ivec[iz1] += tmp2;
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//rvec[iz2] += tmp1;
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//ivec[iz2] -= tmp2;
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//iz2++;
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/// Difference frequency effects are zero along the diagonal
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/// and are thus not contributing to the mean.
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}
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for (jy = ix+1;jy<nmax;jy++){
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kw2 = kw[jy];
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Epij = 0.5*(kw2 + kw1);
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Edij = -0.5*(kw2 - kw1);
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//printf("Edij = %f Epij = %f \n", Edij,Epij);
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ixi = ix*m;
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jyi = jy*m;
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iz1 = ixi+jyi;
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iv1 = jyi-ixi;
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//iz2 = (n*m-iz1);
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//iv2 = (n*m-iv1);
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for (i = 0;i<m;i++,ixi++,jyi++,iz1++,iv1++) {
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rrA = rA[ixi]*rA[jyi]; ///rrA = rA[i][ix]*rA[i][jy];
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iiA = iA[ixi]*iA[jyi]; ///iiA = iA[i][ix]*iA[i][jy];
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riA = rA[ixi]*iA[jyi]; ///riA = rA[i][ix]*iA[i][jy];
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irA = iA[ixi]*rA[jyi]; ///irA = iA[i][ix]*rA[i][jy];
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/* Sum frequency effects */
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tmp1 = kfact*2.0*(rrA-iiA)*Epij;
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tmp2 = kfact*2.0*(riA+irA)*Epij;
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rvec[iz1] += tmp1;///rvec[i][ix+jy] += tmp1;
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ivec[iz1] += tmp2;///ivec[i][ix+jy] += tmp2;
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//rvec[iz2] += tmp1;///rvec[i][n*m-(ix+jy)] += tmp1;
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//ivec[iz2] -= tmp2;///ivec[i][n*m-(ix+jy)] -= tmp2;
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// iz2++;
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/* Difference frequency effects */
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tmp1 = kfact*2.0*(rrA+iiA)*Edij;
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tmp2 = kfact*2.0*(riA-irA)*Edij;
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rvec[iv1] += tmp1;///rvec[i][jy-ix] += tmp1;
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ivec[iv1] += tmp2;///ivec[i][jy-ix] += tmp2;
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//rvec[iv2] += tmp1;///rvec[i][n*m-(jy-ix)] += tmp1;
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//ivec[iv2] -= tmp2;///ivec[i][n*m-(jy-ix)] -= tmp2;
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//iv2++;
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}
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}
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}
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}
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else{ /* Finite water depth */
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for (ix = nmin-1;ix<nmax;ix++) {
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kw1 = kw[ix];
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w1 = w[ix];
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tmp1 = tanh(kw1*h);
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/// Cg, wave group velocity
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Cg = 0.5*g*(tmp1 + kw1*h*(1.0- tmp1*tmp1))/w1; /// OK
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tmp1 = 0.5*g*(kw1/w1)*(kw1/w1);
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tmp2 = 0.5*w1*w1/g;
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tmp3 = g*kw1/(w1*Cg);
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if (kw1*h<300.0){
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tmp4 = kw1/sinh(2.0*kw1*h);
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}
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else{ // To ensure sinh does not overflow.
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tmp4 = 0.0;
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}
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// Difference frequency effects finite water depth
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Edij = (tmp1-tmp2+tmp3)/(1.0-g*h/(Cg*Cg))-tmp4; /// OK
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// Sum frequency effects finite water depth
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Epij = (3.0*(tmp1-tmp2)/(1.0-tmp1/kw1*tanh(2.0*kw1*h))+3.0*tmp2-tmp1); /// OK
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//printf("Edij = %f Epij = %f \n", Edij,Epij);
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ixi = ix*m;
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iz1 = 2*ixi;
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//iz2 = n*m-ixi;
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for (i=0;i<m;i++,ixi++,iz1++) {
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rrA = rA[ixi]*rA[ixi]; ///
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iiA = iA[ixi]*iA[ixi]; ///
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riA = rA[ixi]*iA[ixi]; ///
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/// Sum frequency effects along the diagonal
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rvec[iz1] += kfact*(rrA-iiA)*Epij;
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ivec[iz1] += kfact*2.0*riA*Epij;
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//rvec[iz2] += kfact*(rrA-iiA)*Epij;
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//ivec[iz2] -= kfact*2.0*riA*Epij;
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//iz2++;
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/// Difference frequency effects along the diagonal
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/// are only contributing to the mean
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rvec[i] += 2.0*(rrA+iiA)*Edij;
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}
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for (jy = ix+1;jy<nmax;jy++) {
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// w1 = w[ix];
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// kw1 = kw[ix];
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w2 = w[jy];
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kw2 = kw[jy];
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tmp1 = g*(kw1/w1)*(kw2/w2);
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tmp2 = 0.5/g*(w1*w1+w2*w2+w1*w2);
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tmp3 = 0.5*g*(w1*kw2*kw2+w2*kw1*kw1)/(w1*w2*(w1+w2));
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tmp4 = (1-g*(kw1+kw2)/(w1+w2)/(w1+w2)*tanh((kw1+kw2)*h));
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Epij = (tmp1-tmp2+tmp3)/tmp4+tmp2-0.5*tmp1; /* OK */
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tmp2 = 0.5/g*(w1*w1+w2*w2-w1*w2); /*OK*/
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tmp3 = -0.5*g*(w1*kw2*kw2-w2*kw1*kw1)/(w1*w2*(w1-w2));
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tmp4 = (1.0-g*(kw1-kw2)/(w1-w2)/(w1-w2)*tanh((kw1-kw2)*h));
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Edij = (tmp1-tmp2+tmp3)/tmp4+tmp2-0.5*tmp1; /* OK */
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//printf("Edij = %f Epij = %f \n", Edij,Epij);
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ixi = ix*m;
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jyi = jy*m;
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iz1 = ixi+jyi;
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iv1 = jyi-ixi;
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// iz2 = (n*m-iz1);
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// iv2 = n*m-iv1;
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for (i=0;i<m;i++,ixi++,jyi++,iz1++,iv1++) {
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rrA = rA[ixi]*rA[jyi]; ///rrA = rA[i][ix]*rA[i][jy];
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iiA = iA[ixi]*iA[jyi]; ///iiA = iA[i][ix]*iA[i][jy];
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riA = rA[ixi]*iA[jyi]; ///riA = rA[i][ix]*iA[i][jy];
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irA = iA[ixi]*rA[jyi]; ///irA = iA[i][ix]*rA[i][jy];
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/* Sum frequency effects */
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tmp1 = kfact*2.0*(rrA-iiA)*Epij;
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tmp2 = kfact*2.0*(riA+irA)*Epij;
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rvec[iz1] += tmp1;///rvec[i][jy+ix] += tmp1;
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ivec[iz1] += tmp2;///ivec[i][jy+ix] += tmp2;
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//rvec[iz2] += tmp1;///rvec[i][n*m-(jy+ix)] += tmp1;
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//ivec[iz2] -= tmp2;///ivec[i][n*m-(jy+ix)] -= tmp2;
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//iz2++;
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/* Difference frequency effects */
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tmp1 = kfact*2.0*(rrA+iiA)*Edij;
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tmp2 = kfact*2.0*(riA-irA)*Edij;
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rvec[iv1] += tmp1;///rvec[i][jy-ix] += tmp1;
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ivec[iv1] += tmp2;///ivec[i][jy-ix] -= tmp2;
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//rvec[iv2] += tmp1;
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//ivec[iv2] -= tmp2;
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//iv2++;
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}
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}
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}
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}
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//return i;
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}
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/*
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* DISUFQ2 Is an internal function to spec2nlsdat
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*
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* CALL: disufq2(rsvec,isvec,rdvec,idvec,rA,iA, w,kw,h,g,nmin,nmax,m,n)
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*
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* rsvec, isvec = real and imaginary parts of the sum frequency
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* effects (size m X n).
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* rdvec, idvec = real and imaginary parts of the difference frequency
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* effects (size m X n).
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* rA, iA = real and imaginary parts of the amplitudes (size m X n).
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* w = vector with angular frequencies (w>=0)
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* kw = vector with wavenumbers (kw>=0)
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* h = water depth (h >=0)
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* g = constant acceleration of gravity
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* nmin = minimum index where rA(:,nmin) and iA(:,nmin) is
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* greater than zero.
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* nmax = maximum index where rA(:,nmax) and iA(:,nmax) is
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* greater than zero.
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* m = size(rA,1),size(iA,1)
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* n = size(rA,2),size(iA,2), or size(rvec,2),size(ivec,2)
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*
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* DISUFQ2 returns the summation of sum and difference frequency
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* frequency effects in the vectors svec = rsvec +sqrt(-1)*isvec and
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* dvec = rdvec +sqrt(-1)*idvec.
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* The 2'nd order contribution to the Stokes wave is then calculated by
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||||||
* a simple 1D Fourier transform, real(FFT(svec+dvec)).
|
|
||||||
*
|
|
||||||
*
|
|
||||||
* This is a MEX-file for MATLAB.
|
|
||||||
* by Per Andreas Brodtkorb 15.08.2001
|
|
||||||
* revised pab 14.03.2002, 01.05.2002
|
|
||||||
*/
|
|
||||||
|
|
||||||
void disufq2(double *rsvec, double *isvec,
|
|
||||||
double *rdvec, double *idvec,
|
|
||||||
double *rA, double *iA,
|
|
||||||
double *w, double *kw,
|
|
||||||
double h, double g,
|
|
||||||
int nmin, int nmax,
|
|
||||||
int m, int n)
|
|
||||||
{
|
|
||||||
double Epij, Edij;
|
|
||||||
double tmp1, tmp2, tmp3, tmp4, kfact;
|
|
||||||
double w1, w2, kw1, kw2, Cg;
|
|
||||||
double rrA, iiA, riA, irA;
|
|
||||||
int i,jy,ix,iz1,iv1,ixi,jyi;
|
|
||||||
//int iz2,iv2
|
|
||||||
|
|
||||||
//Initialize rvec and ivec to zero
|
|
||||||
for (ix=0;ix<n*m;ix++) {
|
|
||||||
rsvec[ix] = 0.0;
|
|
||||||
isvec[ix] = 0.0;
|
|
||||||
rdvec[ix] = 0.0;
|
|
||||||
idvec[ix] = 0.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
// kfact is set to 2 in order to exploit the symmetry.
|
|
||||||
// If you set kfact to 1, you must uncomment all statements
|
|
||||||
// including the expressions: rvec[iz2], rvec[iv2], ivec[iz2] and ivec[iv2].
|
|
||||||
|
|
||||||
kfact = 2.0;
|
|
||||||
if (h>10000){ /* deep water /Inifinite water depth */
|
|
||||||
for (ix = nmin-1;ix<nmax;ix++) {
|
|
||||||
ixi = ix*m;
|
|
||||||
iz1 = 2*ixi;
|
|
||||||
//iz2 = n*m-ixi;
|
|
||||||
kw1 = kw[ix];
|
|
||||||
Epij = kw1;
|
|
||||||
for (i=0;i<m;i++,ixi++,iz1++) {
|
|
||||||
rrA = rA[ixi]*rA[ixi]; ///
|
|
||||||
iiA = iA[ixi]*iA[ixi]; ///
|
|
||||||
riA = rA[ixi]*iA[ixi]; ///
|
|
||||||
|
|
||||||
/// Sum frequency effects along the diagonal
|
|
||||||
tmp1 = kfact*(rrA-iiA)*Epij;
|
|
||||||
tmp2 = kfact*2.0*riA*Epij;
|
|
||||||
rsvec[iz1] += tmp1;
|
|
||||||
isvec[iz1] += tmp2;
|
|
||||||
|
|
||||||
//rsvec[iz2] += tmp1;
|
|
||||||
//isvec[iz2] -= tmp2;
|
|
||||||
//iz2++;
|
|
||||||
|
|
||||||
/// Difference frequency effects are zero along the diagonal
|
|
||||||
/// and are thus not contributing to the mean.
|
|
||||||
}
|
|
||||||
for (jy = ix+1;jy<nmax;jy++){
|
|
||||||
kw2 = kw[jy];
|
|
||||||
Epij = 0.5*(kw2 + kw1);
|
|
||||||
Edij = -0.5*(kw2 - kw1);
|
|
||||||
//printf("Edij = %f Epij = %f \n", Edij,Epij);
|
|
||||||
|
|
||||||
ixi = ix*m;
|
|
||||||
jyi = jy*m;
|
|
||||||
iz1 = ixi+jyi;
|
|
||||||
iv1 = jyi-ixi;
|
|
||||||
//iz2 = (n*m-iz1);
|
|
||||||
//iv2 = (n*m-iv1);
|
|
||||||
for (i = 0;i<m;i++,ixi++,jyi++,iz1++,iv1++) {
|
|
||||||
|
|
||||||
rrA = rA[ixi]*rA[jyi]; ///rrA = rA[i][ix]*rA[i][jy];
|
|
||||||
iiA = iA[ixi]*iA[jyi]; ///iiA = iA[i][ix]*iA[i][jy];
|
|
||||||
riA = rA[ixi]*iA[jyi]; ///riA = rA[i][ix]*iA[i][jy];
|
|
||||||
irA = iA[ixi]*rA[jyi]; ///irA = iA[i][ix]*rA[i][jy];
|
|
||||||
|
|
||||||
/* Sum frequency effects */
|
|
||||||
tmp1 = kfact*2.0*(rrA-iiA)*Epij;
|
|
||||||
tmp2 = kfact*2.0*(riA+irA)*Epij;
|
|
||||||
rsvec[iz1] += tmp1; ///rvec[i][ix+jy] += tmp1;
|
|
||||||
isvec[iz1] += tmp2; ///ivec[i][ix+jy] += tmp2;
|
|
||||||
//rsvec[iz2] += tmp1;///rvec[i][n*m-(ix+jy)] += tmp1;
|
|
||||||
//isvec[iz2] -= tmp2;///ivec[i][n*m-(ix+jy)] += tmp2;
|
|
||||||
//iz2++;
|
|
||||||
|
|
||||||
/* Difference frequency effects */
|
|
||||||
tmp1 = kfact*2.0*(rrA+iiA)*Edij;
|
|
||||||
tmp2 = kfact*2.0*(riA-irA)*Edij;
|
|
||||||
|
|
||||||
rdvec[iv1] += tmp1;///rvec[i][jy-ix] += tmp1;
|
|
||||||
idvec[iv1] += tmp2;///ivec[i][jy-ix] += tmp2;
|
|
||||||
|
|
||||||
//rdvec[iv2] += tmp1;///rvec[i][n*m-(jy-ix)] += tmp1;
|
|
||||||
//idvec[iv2] -= tmp2;///ivec[i][n*m-(jy-ix)] -= tmp2;
|
|
||||||
// iv2++;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
else{ /* Finite water depth */
|
|
||||||
for (ix = nmin-1;ix<nmax;ix++) {
|
|
||||||
kw1 = kw[ix];
|
|
||||||
w1 = w[ix];
|
|
||||||
tmp1 = tanh(kw1*h);
|
|
||||||
/// Cg, wave group velocity
|
|
||||||
Cg = 0.5*g*(tmp1 + kw1*h*(1.0- tmp1*tmp1))/w1; /// OK
|
|
||||||
tmp1 = 0.5*g*(kw1/w1)*(kw1/w1);
|
|
||||||
tmp2 = 0.5*w1*w1/g;
|
|
||||||
tmp3 = g*kw1/(w1*Cg);
|
|
||||||
|
|
||||||
if (kw1*h<300.0){
|
|
||||||
tmp4 = kw1/sinh(2.0*kw1*h);
|
|
||||||
}
|
|
||||||
else{ // To ensure sinh does not overflow.
|
|
||||||
tmp4 = 0.0;
|
|
||||||
}
|
|
||||||
// Difference frequency effects finite water depth
|
|
||||||
Edij = (tmp1-tmp2+tmp3)/(1.0-g*h/(Cg*Cg))-tmp4; /// OK
|
|
||||||
|
|
||||||
// Sum frequency effects finite water depth
|
|
||||||
Epij = (3.0*(tmp1-tmp2)/(1.0-tmp1/kw1*tanh(2.0*kw1*h))+3.0*tmp2-tmp1); /// OK
|
|
||||||
//printf("Edij = %f Epij = %f \n", Edij,Epij);
|
|
||||||
|
|
||||||
ixi = ix*m;
|
|
||||||
iz1 = 2*ixi;
|
|
||||||
//iz2 = n*m-ixi;
|
|
||||||
for (i=0;i<m;i++,ixi++,iz1++) {
|
|
||||||
|
|
||||||
rrA = rA[ixi]*rA[ixi]; ///
|
|
||||||
iiA = iA[ixi]*iA[ixi]; ///
|
|
||||||
riA = rA[ixi]*iA[ixi]; ///
|
|
||||||
|
|
||||||
|
|
||||||
/// Sum frequency effects along the diagonal
|
|
||||||
rsvec[iz1] += kfact*(rrA-iiA)*Epij;
|
|
||||||
isvec[iz1] += kfact*2.0*riA*Epij;
|
|
||||||
//rsvec[iz2] += kfact*(rrA-iiA)*Epij;
|
|
||||||
//isvec[iz2] -= kfact*2.0*riA*Epij;
|
|
||||||
|
|
||||||
/// Difference frequency effects along the diagonal
|
|
||||||
/// are only contributing to the mean
|
|
||||||
//printf(" %f \n",2.0*(rrA+iiA)*Edij);
|
|
||||||
rdvec[i] += 2.0*(rrA+iiA)*Edij;
|
|
||||||
}
|
|
||||||
for (jy = ix+1;jy<nmax;jy++) {
|
|
||||||
// w1 = w[ix];
|
|
||||||
// kw1 = kw[ix];
|
|
||||||
w2 = w[jy];
|
|
||||||
kw2 = kw[jy];
|
|
||||||
tmp1 = g*(kw1/w1)*(kw2/w2);
|
|
||||||
tmp2 = 0.5/g*(w1*w1+w2*w2+w1*w2);
|
|
||||||
tmp3 = 0.5*g*(w1*kw2*kw2+w2*kw1*kw1)/(w1*w2*(w1+w2));
|
|
||||||
tmp4 = (1-g*(kw1+kw2)/(w1+w2)/(w1+w2)*tanh((kw1+kw2)*h));
|
|
||||||
Epij = (tmp1-tmp2+tmp3)/tmp4+tmp2-0.5*tmp1; /* OK */
|
|
||||||
|
|
||||||
tmp2 = 0.5/g*(w1*w1+w2*w2-w1*w2); /*OK*/
|
|
||||||
tmp3 = -0.5*g*(w1*kw2*kw2-w2*kw1*kw1)/(w1*w2*(w1-w2));
|
|
||||||
tmp4 = (1.0-g*(kw1-kw2)/(w1-w2)/(w1-w2)*tanh((kw1-kw2)*h));
|
|
||||||
Edij = (tmp1-tmp2+tmp3)/tmp4+tmp2-0.5*tmp1; /* OK */
|
|
||||||
//printf("Edij = %f Epij = %f \n", Edij,Epij);
|
|
||||||
|
|
||||||
ixi = ix*m;
|
|
||||||
jyi = jy*m;
|
|
||||||
iz1 = ixi+jyi;
|
|
||||||
iv1 = jyi-ixi;
|
|
||||||
// iz2 = (n*m-iz1);
|
|
||||||
// iv2 = (n*m-iv1);
|
|
||||||
for (i=0;i<m;i++,ixi++,jyi++,iz1++,iv1++) {
|
|
||||||
rrA = rA[ixi]*rA[jyi]; ///rrA = rA[i][ix]*rA[i][jy];
|
|
||||||
iiA = iA[ixi]*iA[jyi]; ///iiA = iA[i][ix]*iA[i][jy];
|
|
||||||
riA = rA[ixi]*iA[jyi]; ///riA = rA[i][ix]*iA[i][jy];
|
|
||||||
irA = iA[ixi]*rA[jyi]; ///irA = iA[i][ix]*rA[i][jy];
|
|
||||||
|
|
||||||
/* Sum frequency effects */
|
|
||||||
tmp1 = kfact*2.0*(rrA-iiA)*Epij;
|
|
||||||
tmp2 = kfact*2.0*(riA+irA)*Epij;
|
|
||||||
rsvec[iz1] += tmp1;///rsvec[i][jy+ix] += tmp1;
|
|
||||||
isvec[iz1] += tmp2;///isvec[i][jy+ix] += tmp2;
|
|
||||||
//rsvec[iz2] += tmp1;///rsvec[i][n*m-(jy+ix)] += tmp1;
|
|
||||||
//isvec[iz2] -= tmp2;///isvec[i][n*m-(jy-ix)] += tmp2;
|
|
||||||
//iz2++;
|
|
||||||
|
|
||||||
/* Difference frequency effects */
|
|
||||||
tmp1 = kfact*2.0*(rrA+iiA)*Edij;
|
|
||||||
tmp2 = kfact*2.0*(riA-irA)*Edij;
|
|
||||||
rdvec[iv1] += tmp1;
|
|
||||||
idvec[iv1] += tmp2;
|
|
||||||
|
|
||||||
//rdvec[iv2] += tmp1;
|
|
||||||
//idvec[iv2] -= tmp2;
|
|
||||||
// iv2++;
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
}
|
|
||||||
// return i;
|
|
||||||
}
|
|
@ -1,117 +0,0 @@
|
|||||||
#include "math.h"
|
|
||||||
/*
|
|
||||||
* findrfc.c -
|
|
||||||
*
|
|
||||||
* Returns indices to RFC turningpoints of a vector
|
|
||||||
* of turningpoints
|
|
||||||
*
|
|
||||||
* Install gfortran and run the following to build the module:
|
|
||||||
* f2py rfc.pyf findrfc.c -c --fcompiler=gnu95 --compiler=mingw32 -lmsvcr71
|
|
||||||
*
|
|
||||||
* 1998 by Per Andreas Brodtkorb.
|
|
||||||
*/
|
|
||||||
|
|
||||||
void findrfc(double *y1,double hmin, double *ind, int n,int info) {
|
|
||||||
double xminus,xplus,Tpl,Tmi,*y,Tstart;
|
|
||||||
int i,j,ix=0,NC,iy;
|
|
||||||
|
|
||||||
if (*(y1+0)> *(y1+1)){ /* if first is a max*/
|
|
||||||
y=&(*(y1+1)); /* ignore the first max*/
|
|
||||||
NC=floor((n-1)/2);
|
|
||||||
Tstart=2;
|
|
||||||
}
|
|
||||||
else {
|
|
||||||
y=y1;
|
|
||||||
NC=floor(n/2);
|
|
||||||
Tstart=1;
|
|
||||||
}
|
|
||||||
|
|
||||||
if (NC<1){
|
|
||||||
info = 0;
|
|
||||||
return; /* No RFC cycles*/
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
if (( *(y+0) > *(y+1)) && ( *(y+1) > *(y+2)) ){
|
|
||||||
info = -1;
|
|
||||||
return; /*This is not a sequence of turningpoints, exit */
|
|
||||||
}
|
|
||||||
if ((*(y+0) < *(y+1)) && (*(y+1)< *(y+2))){
|
|
||||||
info=-1;
|
|
||||||
return; /*This is not a sequence of turningpoints, exit */
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
for (i=0; i<NC; i++) {
|
|
||||||
|
|
||||||
Tmi=Tstart+2*i;
|
|
||||||
Tpl=Tstart+2*i+2;
|
|
||||||
xminus=*(y+2*i);
|
|
||||||
xplus=*(y+2*i+2);
|
|
||||||
|
|
||||||
if(i!=0){
|
|
||||||
j=i-1;
|
|
||||||
while((j>=0) && (*(y+2*j+1)<=*(y+2*i+1))){
|
|
||||||
if( (*(y+2*j)<xminus) ){
|
|
||||||
xminus=*(y+2*j);
|
|
||||||
Tmi=Tstart+2*j;
|
|
||||||
} /*if */
|
|
||||||
j--;
|
|
||||||
} /*while j*/
|
|
||||||
} /*if i */
|
|
||||||
if ( xminus >= xplus){
|
|
||||||
if ( (*(y+2*i+1)-xminus) >= hmin){
|
|
||||||
*(ind+ix)=Tmi;
|
|
||||||
ix++;
|
|
||||||
*(ind+ix)=(Tstart+2*i+1);
|
|
||||||
ix++;
|
|
||||||
} /*if*/
|
|
||||||
goto L180;
|
|
||||||
}
|
|
||||||
|
|
||||||
j=i+1;
|
|
||||||
while((j<NC) ) {
|
|
||||||
if (*(y+2*j+1) >= *(y+2*i+1)) goto L170;
|
|
||||||
if( (*(y+2*j+2) <= xplus) ){
|
|
||||||
xplus=*(y+2*j+2);
|
|
||||||
Tpl=(Tstart+2*j+2);
|
|
||||||
}/*if*/
|
|
||||||
j++;
|
|
||||||
} /*while*/
|
|
||||||
|
|
||||||
|
|
||||||
if ( (*(y+2*i+1)-xminus) >= hmin) {
|
|
||||||
*(ind+ix)=Tmi;
|
|
||||||
ix++;
|
|
||||||
*(ind+ix)=(Tstart+2*i+1);
|
|
||||||
ix++;
|
|
||||||
|
|
||||||
} /*if*/
|
|
||||||
goto L180;
|
|
||||||
L170:
|
|
||||||
if (xplus <= xminus ) {
|
|
||||||
if ( (*(y+2*i+1)-xminus) >= hmin){
|
|
||||||
*(ind+ix)=Tmi;
|
|
||||||
ix++;
|
|
||||||
*(ind+ix)=(Tstart+2*i+1);
|
|
||||||
ix++;
|
|
||||||
} /*if*/
|
|
||||||
/*goto L180;*/
|
|
||||||
}
|
|
||||||
else{
|
|
||||||
if ( (*(y+2*i+1)-xplus) >= hmin) {
|
|
||||||
*(ind+ix)=(Tstart+2*i+1);
|
|
||||||
ix++;
|
|
||||||
*(ind+ix)=Tpl;
|
|
||||||
ix++;
|
|
||||||
} /*if*/
|
|
||||||
} /*elseif*/
|
|
||||||
L180:
|
|
||||||
iy=i;
|
|
||||||
} /* for i */
|
|
||||||
info = ix;
|
|
||||||
return ;
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
|
|
Binary file not shown.
@ -1,129 +0,0 @@
|
|||||||
! -*- f90 -*-
|
|
||||||
! Note: the context of this file is case sensitive.
|
|
||||||
|
|
||||||
python module mvn2 ! in
|
|
||||||
interface ! in :mvn2
|
|
||||||
subroutine mvnun(d,n,lower,upper,means,covar,maxpts,abseps,releps,value,inform) ! in :mvn2:mvndst.f
|
|
||||||
integer optional,check(len(lower)>=d),depend(lower) :: d=len(lower)
|
|
||||||
integer optional,check(shape(means,1)==n),depend(means) :: n=shape(means,1)
|
|
||||||
double precision dimension(d) :: lower
|
|
||||||
double precision dimension(d),depend(d) :: upper
|
|
||||||
double precision dimension(d,n),depend(d) :: means
|
|
||||||
double precision dimension(d,d),depend(d,d) :: covar
|
|
||||||
integer :: maxpts
|
|
||||||
double precision :: abseps
|
|
||||||
double precision :: releps
|
|
||||||
double precision :: value
|
|
||||||
integer :: inform
|
|
||||||
end subroutine mvnun
|
|
||||||
subroutine mvndst(n,lower,upper,infin,correl,maxpts,abseps,releps,error,value,inform) ! in :mvn2:mvndst.f
|
|
||||||
integer :: n
|
|
||||||
double precision dimension(*) :: lower
|
|
||||||
double precision dimension(*) :: upper
|
|
||||||
integer dimension(*) :: infin
|
|
||||||
double precision dimension(*) :: correl
|
|
||||||
integer :: maxpts
|
|
||||||
double precision :: abseps
|
|
||||||
double precision :: releps
|
|
||||||
double precision :: error
|
|
||||||
double precision :: value
|
|
||||||
integer :: inform
|
|
||||||
integer :: ivls
|
|
||||||
common /dkblck/ ivls
|
|
||||||
end subroutine mvndst
|
|
||||||
function mvndfn(n,w) ! in :mvn2:mvndst.f
|
|
||||||
integer :: n
|
|
||||||
double precision dimension(*) :: w
|
|
||||||
double precision dimension(*) :: upper
|
|
||||||
integer dimension(*) :: infin
|
|
||||||
integer :: infis
|
|
||||||
double precision :: e
|
|
||||||
double precision dimension(*) :: lower
|
|
||||||
double precision :: d
|
|
||||||
double precision dimension(*) :: correl
|
|
||||||
double precision :: mvndfn
|
|
||||||
double precision :: mvndnt
|
|
||||||
entry mvndnt(n,correl,lower,upper,infin,infis,d,e)
|
|
||||||
end function mvndfn
|
|
||||||
subroutine mvnlms(a,b,infin,lower,upper) ! in :mvn2:mvndst.f
|
|
||||||
double precision :: a
|
|
||||||
double precision :: b
|
|
||||||
integer :: infin
|
|
||||||
double precision :: lower
|
|
||||||
double precision :: upper
|
|
||||||
end subroutine mvnlms
|
|
||||||
subroutine covsrt(n,lower,upper,correl,infin,y,infis,a,b,cov,infi) ! in :mvn2:mvndst.f
|
|
||||||
integer :: n
|
|
||||||
double precision dimension(*) :: lower
|
|
||||||
double precision dimension(*) :: upper
|
|
||||||
double precision dimension(*) :: correl
|
|
||||||
integer dimension(*) :: infin
|
|
||||||
double precision dimension(*) :: y
|
|
||||||
integer :: infis
|
|
||||||
double precision dimension(*) :: a
|
|
||||||
double precision dimension(*) :: b
|
|
||||||
double precision dimension(*) :: cov
|
|
||||||
integer dimension(*) :: infi
|
|
||||||
end subroutine covsrt
|
|
||||||
subroutine dkswap(x,y) ! in :mvn2:mvndst.f
|
|
||||||
double precision :: x
|
|
||||||
double precision :: y
|
|
||||||
end subroutine dkswap
|
|
||||||
subroutine rcswp(p,q,a,b,infin,n,c) ! in :mvn2:mvndst.f
|
|
||||||
integer :: p
|
|
||||||
integer :: q
|
|
||||||
double precision dimension(*) :: a
|
|
||||||
double precision dimension(*) :: b
|
|
||||||
integer dimension(*) :: infin
|
|
||||||
integer :: n
|
|
||||||
double precision dimension(*) :: c
|
|
||||||
end subroutine rcswp
|
|
||||||
subroutine dkbvrc(ndim,minvls,maxvls,functn,abseps,releps,abserr,finest,inform) ! in :mvn2:mvndst.f
|
|
||||||
integer :: ndim
|
|
||||||
integer :: minvls
|
|
||||||
integer :: maxvls
|
|
||||||
external functn
|
|
||||||
double precision :: abseps
|
|
||||||
double precision :: releps
|
|
||||||
double precision :: abserr
|
|
||||||
double precision :: finest
|
|
||||||
integer :: inform
|
|
||||||
end subroutine dkbvrc
|
|
||||||
subroutine dksmrc(ndim,klim,sumkro,prime,vk,functn,x) ! in :mvn2:mvndst.f
|
|
||||||
integer :: ndim
|
|
||||||
integer :: klim
|
|
||||||
double precision :: sumkro
|
|
||||||
integer :: prime
|
|
||||||
double precision dimension(*) :: vk
|
|
||||||
external functn
|
|
||||||
double precision dimension(*) :: x
|
|
||||||
end subroutine dksmrc
|
|
||||||
function mvnphi(z) ! in :mvn2:mvndst.f
|
|
||||||
double precision :: z
|
|
||||||
double precision :: mvnphi
|
|
||||||
end function mvnphi
|
|
||||||
function phinvs(p) ! in :mvn2:mvndst.f
|
|
||||||
double precision :: p
|
|
||||||
double precision :: phinvs
|
|
||||||
end function phinvs
|
|
||||||
function bvnmvn(lower,upper,infin,correl) ! in :mvn2:mvndst.f
|
|
||||||
double precision dimension(*) :: lower
|
|
||||||
double precision dimension(*) :: upper
|
|
||||||
integer dimension(*) :: infin
|
|
||||||
double precision :: correl
|
|
||||||
double precision :: bvnmvn
|
|
||||||
end function bvnmvn
|
|
||||||
function bvu(sh,sk,r) ! in :mvn2:mvndst.f
|
|
||||||
double precision :: sh
|
|
||||||
double precision :: sk
|
|
||||||
double precision :: r
|
|
||||||
double precision :: bvu
|
|
||||||
end function bvu
|
|
||||||
function mvnuni() ! in :mvn2:mvndst.f
|
|
||||||
double precision :: mvnuni
|
|
||||||
end function mvnuni
|
|
||||||
end interface
|
|
||||||
end python module mvn2
|
|
||||||
|
|
||||||
! This file was auto-generated with f2py (version:2_5972).
|
|
||||||
! See http://cens.ioc.ee/projects/f2py2e/
|
|
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@ -1,14 +0,0 @@
|
|||||||
! File rfcmodule.pyf
|
|
||||||
python module rfcmodule
|
|
||||||
interface
|
|
||||||
subroutine findrfc(y1,hmin, ind, n,info)
|
|
||||||
intent(c) findrfc ! findrfc is a C function
|
|
||||||
intent(c) ! all findrfc arguments are considered as C based
|
|
||||||
integer intent(hide), depend(y) :: n=len(y)
|
|
||||||
double precision dimension(n), intent(in) :: y1 ! input array
|
|
||||||
double precision intent(in) :: hmin
|
|
||||||
integer dimension(n), intent(out) :: ind ! output array,
|
|
||||||
integer intent(out) :: info
|
|
||||||
end subroutine findrfc
|
|
||||||
end interface
|
|
||||||
end python module rfcmodule
|
|
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Reference in New Issue