186 lines
6.4 KiB
C++
186 lines
6.4 KiB
C++
#ifdef __cplusplus
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extern "C" {
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#endif
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#include "lmp_f2c.h"
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static integer c__1 = 1;
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static integer c_n1 = -1;
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static integer c__0 = 0;
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static doublereal c_b18 = 1.;
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int zheevd_(char *jobz, char *uplo, integer *n, doublecomplex *a, integer *lda, doublereal *w,
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doublecomplex *work, integer *lwork, doublereal *rwork, integer *lrwork, integer *iwork,
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integer *liwork, integer *info, ftnlen jobz_len, ftnlen uplo_len)
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{
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integer a_dim1, a_offset, i__1, i__2;
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doublereal d__1;
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double sqrt(doublereal);
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doublereal eps;
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integer inde;
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doublereal anrm;
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integer imax;
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doublereal rmin, rmax;
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integer lopt;
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extern int dscal_(integer *, doublereal *, doublereal *, integer *);
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doublereal sigma;
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extern logical lsame_(char *, char *, ftnlen, ftnlen);
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integer iinfo, lwmin, liopt;
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logical lower;
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integer llrwk, lropt;
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logical wantz;
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integer indwk2, llwrk2;
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extern doublereal dlamch_(char *, ftnlen);
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integer iscale;
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doublereal safmin;
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extern integer ilaenv_(integer *, char *, char *, integer *, integer *, integer *, integer *,
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ftnlen, ftnlen);
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extern int xerbla_(char *, integer *, ftnlen);
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doublereal bignum;
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extern doublereal zlanhe_(char *, char *, integer *, doublecomplex *, integer *, doublereal *,
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ftnlen, ftnlen);
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integer indtau;
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extern int dsterf_(integer *, doublereal *, doublereal *, integer *),
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zlascl_(char *, integer *, integer *, doublereal *, doublereal *, integer *, integer *,
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doublecomplex *, integer *, integer *, ftnlen),
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zstedc_(char *, integer *, doublereal *, doublereal *, doublecomplex *, integer *,
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doublecomplex *, integer *, doublereal *, integer *, integer *, integer *,
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integer *, ftnlen);
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integer indrwk, indwrk, liwmin;
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extern int zhetrd_(char *, integer *, doublecomplex *, integer *, doublereal *, doublereal *,
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doublecomplex *, doublecomplex *, integer *, integer *, ftnlen),
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zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *,
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integer *, ftnlen);
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integer lrwmin, llwork;
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doublereal smlnum;
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logical lquery;
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extern int zunmtr_(char *, char *, char *, integer *, integer *, doublecomplex *, integer *,
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doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *,
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integer *, ftnlen, ftnlen, ftnlen);
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a_dim1 = *lda;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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--w;
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--work;
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--rwork;
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--iwork;
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wantz = lsame_(jobz, (char *)"V", (ftnlen)1, (ftnlen)1);
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lower = lsame_(uplo, (char *)"L", (ftnlen)1, (ftnlen)1);
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lquery = *lwork == -1 || *lrwork == -1 || *liwork == -1;
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*info = 0;
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if (!(wantz || lsame_(jobz, (char *)"N", (ftnlen)1, (ftnlen)1))) {
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*info = -1;
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} else if (!(lower || lsame_(uplo, (char *)"U", (ftnlen)1, (ftnlen)1))) {
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*info = -2;
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} else if (*n < 0) {
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*info = -3;
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} else if (*lda < max(1, *n)) {
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*info = -5;
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}
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if (*info == 0) {
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if (*n <= 1) {
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lwmin = 1;
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lrwmin = 1;
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liwmin = 1;
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lopt = lwmin;
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lropt = lrwmin;
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liopt = liwmin;
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} else {
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if (wantz) {
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lwmin = (*n << 1) + *n * *n;
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i__1 = *n;
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lrwmin = *n * 5 + 1 + (i__1 * i__1 << 1);
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liwmin = *n * 5 + 3;
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} else {
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lwmin = *n + 1;
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lrwmin = *n;
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liwmin = 1;
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}
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i__1 = lwmin, i__2 = *n + *n * ilaenv_(&c__1, (char *)"ZHETRD", uplo, n, &c_n1, &c_n1, &c_n1,
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(ftnlen)6, (ftnlen)1);
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lopt = max(i__1, i__2);
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lropt = lrwmin;
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liopt = liwmin;
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}
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work[1].r = (doublereal)lopt, work[1].i = 0.;
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rwork[1] = (doublereal)lropt;
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iwork[1] = liopt;
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if (*lwork < lwmin && !lquery) {
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*info = -8;
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} else if (*lrwork < lrwmin && !lquery) {
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*info = -10;
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} else if (*liwork < liwmin && !lquery) {
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*info = -12;
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}
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}
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if (*info != 0) {
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i__1 = -(*info);
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xerbla_((char *)"ZHEEVD", &i__1, (ftnlen)6);
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return 0;
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} else if (lquery) {
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return 0;
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}
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if (*n == 0) {
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return 0;
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}
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if (*n == 1) {
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i__1 = a_dim1 + 1;
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w[1] = a[i__1].r;
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if (wantz) {
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i__1 = a_dim1 + 1;
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a[i__1].r = 1., a[i__1].i = 0.;
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}
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return 0;
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}
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safmin = dlamch_((char *)"Safe minimum", (ftnlen)12);
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eps = dlamch_((char *)"Precision", (ftnlen)9);
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smlnum = safmin / eps;
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bignum = 1. / smlnum;
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rmin = sqrt(smlnum);
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rmax = sqrt(bignum);
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anrm = zlanhe_((char *)"M", uplo, n, &a[a_offset], lda, &rwork[1], (ftnlen)1, (ftnlen)1);
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iscale = 0;
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if (anrm > 0. && anrm < rmin) {
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iscale = 1;
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sigma = rmin / anrm;
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} else if (anrm > rmax) {
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iscale = 1;
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sigma = rmax / anrm;
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}
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if (iscale == 1) {
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zlascl_(uplo, &c__0, &c__0, &c_b18, &sigma, n, n, &a[a_offset], lda, info, (ftnlen)1);
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}
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inde = 1;
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indtau = 1;
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indwrk = indtau + *n;
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indrwk = inde + *n;
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indwk2 = indwrk + *n * *n;
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llwork = *lwork - indwrk + 1;
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llwrk2 = *lwork - indwk2 + 1;
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llrwk = *lrwork - indrwk + 1;
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zhetrd_(uplo, n, &a[a_offset], lda, &w[1], &rwork[inde], &work[indtau], &work[indwrk], &llwork,
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&iinfo, (ftnlen)1);
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if (!wantz) {
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dsterf_(n, &w[1], &rwork[inde], info);
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} else {
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zstedc_((char *)"I", n, &w[1], &rwork[inde], &work[indwrk], n, &work[indwk2], &llwrk2,
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&rwork[indrwk], &llrwk, &iwork[1], liwork, info, (ftnlen)1);
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zunmtr_((char *)"L", uplo, (char *)"N", n, n, &a[a_offset], lda, &work[indtau], &work[indwrk], n,
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&work[indwk2], &llwrk2, &iinfo, (ftnlen)1, (ftnlen)1, (ftnlen)1);
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zlacpy_((char *)"A", n, n, &work[indwrk], n, &a[a_offset], lda, (ftnlen)1);
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}
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if (iscale == 1) {
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if (*info == 0) {
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imax = *n;
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} else {
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imax = *info - 1;
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}
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d__1 = 1. / sigma;
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dscal_(&imax, &d__1, &w[1], &c__1);
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}
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work[1].r = (doublereal)lopt, work[1].i = 0.;
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rwork[1] = (doublereal)lropt;
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iwork[1] = liopt;
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return 0;
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}
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#ifdef __cplusplus
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}
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#endif
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