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@ -94,15 +94,21 @@
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void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int ifrwd, int icplx, double* workr, double* worki, int cores) {
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void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int ifrwd, int icplx, double* workr, double* worki, int cores) {
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int ifact[21], ntot, idim, np1, n, np2, m, ntwo, iff, idiv, iquot, irem, inon2, non2p, np0, nprev, icase, ifmin, i, j, jmax, np2hf, i2, i1max, i3, j3, i1, ifp1, ifp2, i2max, i1rng, istep, imin, imax, mmax, mmin, mstep, j1, j2max, j2, jmin, j3max, nhalf;
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int ifact[21], ntot, idim, np1, n, np2, m, ntwo, iff, idiv, iquot, irem, inon2, non2p, np0, nprev, icase, ifmin, i, j, jmax, np2hf, i2, i1max, i3, j3, i1, ifp1, ifp2, i2max, i1rng, istep, imin, imax, mmax, mmin, mstep, j1, j2max, j2, jmin, j3max, nhalf;
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double theta, wstpr, wstpi, wminr, wmini, wr, wi, wtemp, thetm, wmstr, wmsti, twowr, sr, si, oldsr, oldsi, stmpr, stmpi, tempr, tempi, difi, difr, sumr, sumi, TWOPI = 6.283185307179586476925286766559;
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double theta, wstpr, wstpi, wminr, wmini, wr, wi, wtemp, thetm, wmstr, wmsti, twowr, sr, si, oldsr, oldsi, stmpr, stmpi, tempr, tempi, difi, difr, sumr, sumi, TWOPI = 6.283185307179586476925286766559;
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double valueri, valueri1, valueri3, valueii3, valuerj3, valueij3, valuerj, valueij, valueii, valuerimin, valueiimin, valuei1, valuer1;
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ntot = 1;
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ntot = 1;
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for (idim = 0; idim < ndim; idim++) {
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for (idim = 0; idim < ndim; idim++) {
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ntot *= nn[idim];
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ntot *= nn[idim];
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}
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}
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//printf("104\n");
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chunk_array_read(datar);
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chunk_array_read(datar);
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//printf("107\n");
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chunk_array_read(datai);
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chunk_array_read(datai);
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//printf("110\n");
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/*main loop for each dimension*/
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/*main loop for each dimension*/
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np1 = 1;
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np1 = 1;
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for (idim = 1; idim <= ndim; idim++) {
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for (idim = 1; idim <= ndim; idim++) {
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@ -188,11 +194,12 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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ntot /= 2;
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ntot /= 2;
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i = 1;
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i = 1;
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for (j = 1; j <= ntot; j++) {
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for (j = 1; j <= ntot; j++) {
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double valuei, valuei1;
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//printf("196\n");
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chunk_array_get(datar, i, &valuei);
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chunk_array_get(datar, i, &valueri);
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chunk_array_get(datar, i+1, &valuei1);
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chunk_array_get(datar, i+1, &valueri1);
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chunk_array_save(datar, j, valuei);
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chunk_array_save(datar, j, valueri);
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chunk_array_save(datai, j, valuei1);
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chunk_array_save(datai, j, valueri1);
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//printf("201\n");
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i += 2;
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i += 2;
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}
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}
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@ -209,20 +216,23 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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for (i1 = i2; i1 <= i1max; i1++) {
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for (i1 = i2; i1 <= i1max; i1++) {
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for (i3 = i1; i3 <= ntot; i3 += np2) {
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for (i3 = i1; i3 <= ntot; i3 += np2) {
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j3 = j + i3 - i2;
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j3 = j + i3 - i2;
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double valueri3, valueii3, valuerj3, valueij3;
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//printf("219\n");
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chunk_array_get(datar, i3, &valueri3);
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chunk_array_get(datar, i3, &valueri3);
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chunk_array_get(datai, i3, &valueii3);
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chunk_array_get(datai, i3, &valueii3);
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chunk_array_get(datar, j3, &valuerj3);
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chunk_array_get(datar, j3, &valuerj3);
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chunk_array_get(datai, j3, &valueij3);
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chunk_array_get(datai, j3, &valueij3);
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//printf("224\n");
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tempr = valueri3;
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tempr = valueri3;
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tempi = valueii3;
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tempi = valueii3;
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//printf("229\n");
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chunk_array_save(datar, i3, valuerj3);
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chunk_array_save(datar, i3, valuerj3);
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chunk_array_save(datai, i3, valueij3);
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chunk_array_save(datai, i3, valueij3);
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chunk_array_save(datar, j3, tempr);
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chunk_array_save(datar, j3, tempr);
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chunk_array_save(datai, j3, tempi);
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chunk_array_save(datai, j3, tempi);
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//printf("234\n");
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}
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}
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}
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}
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@ -247,9 +257,10 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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for (i3 = i1; i3 <= ntot; i3 += np2) {
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for (i3 = i1; i3 <= ntot; i3 += np2) {
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j = i3;
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j = i3;
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for (i = 1; i <= n; i++) {
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for (i = 1; i <= n; i++) {
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double valuerj, valueij;
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//printf("259\n");
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datai, j, &valueij);
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chunk_array_get(datai, j, &valueij);
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//printf("262\n");
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if (icase != 3) {
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if (icase != 3) {
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workr[i] = valuerj;
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workr[i] = valuerj;
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worki[i] = valueij;
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worki[i] = valueij;
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@ -273,8 +284,10 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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i2max = i3 + np2 - np1;
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i2max = i3 + np2 - np1;
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i = 1;
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i = 1;
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for (i2 = i3; i2 <= i2max; i2 += np1) {
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for (i2 = i3; i2 <= i2max; i2 += np1) {
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//printf("286\n");
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chunk_array_save(datar, i2, workr[i]);
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chunk_array_save(datar, i2, workr[i]);
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chunk_array_save(datai, i2, worki[i]);
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chunk_array_save(datai, i2, worki[i]);
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//printf("289\n");
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i++;
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i++;
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}
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}
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}
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}
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@ -295,16 +308,17 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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L310:
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L310:
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j = i1;
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j = i1;
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for (i = imin; i <= ntot; i += istep) {
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for (i = imin; i <= ntot; i += istep) {
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//printf("310\n");
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chunk_array_get(datar, i, &tempr);
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chunk_array_get(datar, i, &tempr);
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chunk_array_get(datai, i, &tempi);
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chunk_array_get(datai, i, &tempi);
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double valuerj, valueij;
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datai, j, &valueij);
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chunk_array_get(datai, j, &valueij);
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chunk_array_save(datar, i, valuerj - tempr);
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chunk_array_save(datar, i, valuerj - tempr);
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chunk_array_save(datai, i, valueij - tempi);
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chunk_array_save(datai, i, valueij - tempi);
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chunk_array_save(datar, j, valuerj + tempr);
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chunk_array_save(datar, j, valuerj + tempr);
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chunk_array_save(datai, j, valueij + tempi);
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chunk_array_save(datai, j, valueij + tempi);
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//printf("320\n");
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j += istep;
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j += istep;
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}
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}
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imin = 2 * imin - i1;
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imin = 2 * imin - i1;
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@ -323,14 +337,19 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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j = imin - istep / 2;
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j = imin - istep / 2;
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for (i = imin; i <= ntot; i += istep) {
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for (i = imin; i <= ntot; i += istep) {
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if (ifrwd != 0) {
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if (ifrwd != 0) {
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//printf("339\n");
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chunk_array_get(datai, i, &tempr);
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chunk_array_get(datai, i, &tempr);
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chunk_array_get(datar, i, &tempi);
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chunk_array_get(datar, i, &tempi);
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//printf("342\n");
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tempi = -tempi;
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tempi = -tempi;
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} else {
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} else {
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//printf("345\n");
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chunk_array_get(datai, i, &tempr);
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chunk_array_get(datai, i, &tempr);
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tempr = -tempr;
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chunk_array_get(datar, i, &tempi);
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chunk_array_get(datar, i, &tempi);
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//printf("349\n");
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}
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}
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double valuerj, valueij;
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//printf("351\n");
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datai, j, &valueij);
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chunk_array_get(datai, j, &valueij);
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@ -342,7 +361,7 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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chunk_array_save(datar, j, valuerj + tempr);
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chunk_array_save(datar, j, valuerj + tempr);
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chunk_array_save(datai, j, valueij + tempi);
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chunk_array_save(datai, j, valueij + tempi);
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//printf("363\n");
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j += istep;
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j += istep;
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}
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}
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@ -379,7 +398,7 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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L510:
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L510:
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j = imin - istep / 2;
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j = imin - istep / 2;
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for (i = imin; i <= ntot; i += istep) {
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for (i = imin; i <= ntot; i += istep) {
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double valueri, valueii, valuerj, valueij;
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//printf("400\n");
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chunk_array_get(datar, i, &valueri);
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chunk_array_get(datar, i, &valueri);
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datai, i, &valueii);
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chunk_array_get(datai, i, &valueii);
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@ -391,6 +410,7 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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chunk_array_save(datai, i, valueij - tempi);
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chunk_array_save(datai, i, valueij - tempi);
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chunk_array_save(datar, j, valuerj + tempr);
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chunk_array_save(datar, j, valuerj + tempr);
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chunk_array_save(datai, j, valueij + tempi);
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chunk_array_save(datai, j, valueij + tempi);
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//printf("412\n");
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j += istep;
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j += istep;
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}
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}
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imin = 2 * imin - i1;
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imin = 2 * imin - i1;
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@ -443,17 +463,20 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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j3max = j2 + np2 - ifp2;
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j3max = j2 + np2 - ifp2;
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for (j3 = j2; j3 <= j3max; j3 += ifp2) {
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for (j3 = j2; j3 <= j3max; j3 += ifp2) {
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j = jmin + ifp2 - ifp1;
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j = jmin + ifp2 - ifp1;
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//printf("465\n");
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chunk_array_get(datar, j, &sr);
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chunk_array_get(datar, j, &sr);
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chunk_array_get(datai, j, &si);
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chunk_array_get(datai, j, &si);
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//printf("468\n");
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oldsr = 0.;
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oldsr = 0.;
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oldsi = 0.;
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oldsi = 0.;
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j -= ifp1;
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j -= ifp1;
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L620:
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L620:
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stmpr = sr;
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stmpr = sr;
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stmpi = si;
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stmpi = si;
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double valuerj, valueij;
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//printf("475\n");
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datar, j, &valuerj);
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chunk_array_get(datai, j, &valueij);
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chunk_array_get(datai, j, &valueij);
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//printf("478\n");
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sr = twowr * sr - oldsr + valuerj;
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sr = twowr * sr - oldsr + valuerj;
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si = twowr * si - oldsi + valueij;
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si = twowr * si - oldsi + valueij;
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@ -475,8 +498,10 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
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|
for (j2 = i3; j2 <= j2max; j2 += ifp1) {
|
|
|
|
for (j2 = i3; j2 <= j2max; j2 += ifp1) {
|
|
|
|
j3max = j2 + np2 - ifp2;
|
|
|
|
j3max = j2 + np2 - ifp2;
|
|
|
|
for (j3 = j2; j3 <= j3max; j3 += ifp2) {
|
|
|
|
for (j3 = j2; j3 <= j3max; j3 += ifp2) {
|
|
|
|
|
|
|
|
//printf("500\n");
|
|
|
|
chunk_array_save(datar, j3, workr[i]);
|
|
|
|
chunk_array_save(datar, j3, workr[i]);
|
|
|
|
chunk_array_save(datai, j3, worki[i]);
|
|
|
|
chunk_array_save(datai, j3, worki[i]);
|
|
|
|
|
|
|
|
//printf("503\n");
|
|
|
|
i++;
|
|
|
|
i++;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
@ -520,7 +545,7 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
|
|
|
|
L710:
|
|
|
|
L710:
|
|
|
|
j = jmin;
|
|
|
|
j = jmin;
|
|
|
|
for (i = imin; i <= ntot; i += np2) {
|
|
|
|
for (i = imin; i <= ntot; i += np2) {
|
|
|
|
double valueri, valueii, valuerj, valueij;
|
|
|
|
//printf("547\n");
|
|
|
|
chunk_array_get(datar, i, &valueri);
|
|
|
|
chunk_array_get(datar, i, &valueri);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_get(datar, j, &valuerj);
|
|
|
|
chunk_array_get(datar, j, &valuerj);
|
|
|
@ -536,6 +561,7 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
|
|
|
|
chunk_array_save(datai, i, difi + tempi);
|
|
|
|
chunk_array_save(datai, i, difi + tempi);
|
|
|
|
chunk_array_save(datar, j, sumr - tempr);
|
|
|
|
chunk_array_save(datar, j, sumr - tempr);
|
|
|
|
chunk_array_save(datai, j, tempi - difi);
|
|
|
|
chunk_array_save(datai, j, tempi - difi);
|
|
|
|
|
|
|
|
//printf("563\n");
|
|
|
|
j += np2;
|
|
|
|
j += np2;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
imin++;
|
|
|
|
imin++;
|
|
|
@ -552,9 +578,10 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
|
|
|
|
if (ifrwd == 0)
|
|
|
|
if (ifrwd == 0)
|
|
|
|
goto L740;
|
|
|
|
goto L740;
|
|
|
|
for (i = imin; i <= ntot; i += np2) {
|
|
|
|
for (i = imin; i <= ntot; i += np2) {
|
|
|
|
double valueii;
|
|
|
|
//printf("580\n");
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_save(datai, i, -valueii);
|
|
|
|
chunk_array_save(datai, i, -valueii);
|
|
|
|
|
|
|
|
//printf("583\n");
|
|
|
|
}
|
|
|
|
}
|
|
|
|
L740:
|
|
|
|
L740:
|
|
|
|
np2 *= 2;
|
|
|
|
np2 *= 2;
|
|
|
@ -566,55 +593,61 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
|
|
|
|
i = imin;
|
|
|
|
i = imin;
|
|
|
|
goto L755;
|
|
|
|
goto L755;
|
|
|
|
L750: ;
|
|
|
|
L750: ;
|
|
|
|
double valueri, valueii;
|
|
|
|
//printf("595\n");
|
|
|
|
chunk_array_get(datar, i, &valueri);
|
|
|
|
chunk_array_get(datar, i, &valueri);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_save(datar, j, valueri);
|
|
|
|
chunk_array_save(datar, j, valueri);
|
|
|
|
chunk_array_save(datai, j, -valueii);
|
|
|
|
chunk_array_save(datai, j, -valueii);
|
|
|
|
|
|
|
|
//printf("600\n");
|
|
|
|
L755:
|
|
|
|
L755:
|
|
|
|
i++;
|
|
|
|
i++;
|
|
|
|
j--;
|
|
|
|
j--;
|
|
|
|
if (i < imax)
|
|
|
|
if (i < imax)
|
|
|
|
goto L750;
|
|
|
|
goto L750;
|
|
|
|
double valuerimin, valueiimin;
|
|
|
|
//printf("606\n");
|
|
|
|
chunk_array_get(datar, imin, &valuerimin);
|
|
|
|
chunk_array_get(datar, imin, &valuerimin);
|
|
|
|
chunk_array_get(datai, imin, &valueiimin);
|
|
|
|
chunk_array_get(datai, imin, &valueiimin);
|
|
|
|
|
|
|
|
|
|
|
|
chunk_array_save(datar, j, valuerimin - valueiimin);
|
|
|
|
chunk_array_save(datar, j, valuerimin - valueiimin);
|
|
|
|
chunk_array_save(datai, j, 0.);
|
|
|
|
chunk_array_save(datai, j, 0.);
|
|
|
|
|
|
|
|
//printf("612\n");
|
|
|
|
if (i >= j) {
|
|
|
|
if (i >= j) {
|
|
|
|
goto L780;
|
|
|
|
goto L780;
|
|
|
|
} else {
|
|
|
|
} else {
|
|
|
|
goto L770;
|
|
|
|
goto L770;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
L765:
|
|
|
|
L765:
|
|
|
|
|
|
|
|
//printf("619\n");
|
|
|
|
chunk_array_get(datar, i, &valueri);
|
|
|
|
chunk_array_get(datar, i, &valueri);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
chunk_array_get(datai, i, &valueii);
|
|
|
|
|
|
|
|
|
|
|
|
chunk_array_save(datar, j, valueri);
|
|
|
|
chunk_array_save(datar, j, valueri);
|
|
|
|
chunk_array_save(datai, j, valueii);
|
|
|
|
chunk_array_save(datai, j, valueii);
|
|
|
|
|
|
|
|
//printf("625\n");
|
|
|
|
L770:
|
|
|
|
L770:
|
|
|
|
i--;
|
|
|
|
i--;
|
|
|
|
j--;
|
|
|
|
j--;
|
|
|
|
if (i > imin)
|
|
|
|
if (i > imin)
|
|
|
|
goto L765;
|
|
|
|
goto L765;
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
//printf("632\n");
|
|
|
|
chunk_array_get(datar, imin, &valuerimin);
|
|
|
|
chunk_array_get(datar, imin, &valuerimin);
|
|
|
|
chunk_array_get(datai, imin, &valueiimin);
|
|
|
|
chunk_array_get(datai, imin, &valueiimin);
|
|
|
|
|
|
|
|
|
|
|
|
chunk_array_save(datar, j, valuerimin + valueiimin);
|
|
|
|
chunk_array_save(datar, j, valuerimin + valueiimin);
|
|
|
|
chunk_array_save(datai, j, 0.);
|
|
|
|
chunk_array_save(datai, j, 0.);
|
|
|
|
|
|
|
|
//printf("638\n");
|
|
|
|
|
|
|
|
|
|
|
|
imax = imin;
|
|
|
|
imax = imin;
|
|
|
|
goto L745;
|
|
|
|
goto L745;
|
|
|
|
L780: ;
|
|
|
|
L780: ;
|
|
|
|
double valuei1, valuer1;
|
|
|
|
//printf("643\n");
|
|
|
|
chunk_array_get(datai, 1, &valuei1);
|
|
|
|
chunk_array_get(datai, 1, &valuei1);
|
|
|
|
chunk_array_get(datar, 1, &valuer1);
|
|
|
|
chunk_array_get(datar, 1, &valuer1);
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
chunk_array_save(datar, 1, valuei1 + valuer1);
|
|
|
|
chunk_array_save(datar, 1, valuei1 + valuer1);
|
|
|
|
chunk_array_save(datai, 1, 0.);
|
|
|
|
chunk_array_save(datai, 1, 0.);
|
|
|
|
|
|
|
|
//printf("649\n");
|
|
|
|
goto L900;
|
|
|
|
goto L900;
|
|
|
|
|
|
|
|
|
|
|
|
/*complete a real transform for the 2nd, 3rd, ... dimension by conjugate symmetries*/
|
|
|
|
/*complete a real transform for the 2nd, 3rd, ... dimension by conjugate symmetries*/
|
|
|
@ -632,23 +665,25 @@ void fourt(chunk_array_t* datar, chunk_array_t* datai, int nn[3], int ndim, int
|
|
|
|
if (idim > 2) {
|
|
|
|
if (idim > 2) {
|
|
|
|
j = jmax + np0;
|
|
|
|
j = jmax + np0;
|
|
|
|
for (i = imin; i <= imax; i++) {
|
|
|
|
for (i = imin; i <= imax; i++) {
|
|
|
|
double valuerj, valueij;
|
|
|
|
//printf("667\n");
|
|
|
|
chunk_array_get(datar, j, &valuerj);
|
|
|
|
chunk_array_get(datar, j, &valuerj);
|
|
|
|
chunk_array_get(datai, j, &valueij);
|
|
|
|
chunk_array_get(datai, j, &valueij);
|
|
|
|
|
|
|
|
|
|
|
|
chunk_array_save(datar, i, valuerj);
|
|
|
|
chunk_array_save(datar, i, valuerj);
|
|
|
|
chunk_array_save(datai, i, -valueij);
|
|
|
|
chunk_array_save(datai, i, -valueij);
|
|
|
|
|
|
|
|
//printf("673\n");
|
|
|
|
j--;
|
|
|
|
j--;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
j = jmax;
|
|
|
|
j = jmax;
|
|
|
|
for (i = imin; i <= imax; i += np0) {
|
|
|
|
for (i = imin; i <= imax; i += np0) {
|
|
|
|
double valuerj, valueij;
|
|
|
|
//printf("679\n");
|
|
|
|
chunk_array_get(datar, j, &valuerj);
|
|
|
|
chunk_array_get(datar, j, &valuerj);
|
|
|
|
chunk_array_get(datai, j, &valueij);
|
|
|
|
chunk_array_get(datai, j, &valueij);
|
|
|
|
|
|
|
|
|
|
|
|
chunk_array_save(datar, i, valuerj);
|
|
|
|
chunk_array_save(datar, i, valuerj);
|
|
|
|
chunk_array_save(datai, i, -valueij);
|
|
|
|
chunk_array_save(datai, i, -valueij);
|
|
|
|
|
|
|
|
//printf("685\n");
|
|
|
|
|
|
|
|
|
|
|
|
j -= np0;
|
|
|
|
j -= np0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|