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extern void CAXPY(int *n, complex *alpha, complex *x, int *incx, complex *y, int *incy);
extern void CCOPY(int *n, complex *x, int *incx, complex *y, int *incy);
extern void CDOTC(int *n, complex *x, int *incx, complex *y, int *incy, complex *ret_val);
extern void CDOTU(int *n, complex *x, int *incx, complex *y, int *incy, complex *ret_val);
extern void CGBMV(char *trans, int *m, int *n, int *kl, int *ku, complex *alpha, complex *a, int *lda, complex *x, int *incx, complex *beta, complex *y, int *incy, int trans_len);
extern void CGEMM(char *transa, char *transb, int *m, int *n, int *k, complex *alpha, complex *a, int *lda, complex *b, int *ldb, complex *beta, complex *c, int *ldc, int transa_len, int transb_len);
extern void CGEMV(char *trans, int *m, int *n, complex *alpha, complex *a, int *lda, complex *x, int *incx, complex *beta, complex *y, int *incy, int trans_len);
extern void CGERC(int *m, int *n, complex *alpha, complex *x, int *incx, complex *y, int *incy, complex *a, int *lda);
extern void CGERU(int *m, int *n, complex *alpha, complex *x, int *incx, complex *y, int *incy, complex *a, int *lda);
extern void CHBMV(char *uplo, int *n, int *k, complex *alpha, complex *a, int *lda, complex *x, int *incx, complex *beta, complex *y, int *incy, int uplo_len);
extern void CHEMM(char *side, char *uplo, int *m, int *n, complex *alpha, complex *a, int *lda, complex *b, int *ldb, complex *beta, complex *c, int *ldc, int side_len, int uplo_len);
extern void CHEMV(char *uplo, int *n, complex *alpha, complex *a, int *lda, complex *x, int *incx, complex *beta, complex *y, int *incy, int uplo_len);
extern void CHER(char *uplo, int *n, float *alpha, complex *x, int *incx, complex *a, int *lda, int uplo_len);
extern void CHER2(char *uplo, int *n, complex *alpha, complex *x, int *incx, complex *y, int *incy, complex *a, int *lda, int uplo_len);
extern void CHER2K(char *uplo, char *trans, int *n, int *k, complex *alpha, complex *a, int *lda, complex *b, int *ldb, float *beta, complex *c, int *ldc, int uplo_len, int trans_len);
extern void CHERK(char *uplo, char *trans, int *n, int *k, float *alpha, complex *a, int *lda, float *beta, complex *c, int *ldc, int uplo_len, int trans_len);
extern void CHPMV(char *uplo, int *n, complex *alpha, complex *a, complex *x, int *incx, complex *beta, complex *y, int *incy, int uplo_len);
extern void CHPR(char *uplo, int *n, float *alpha, complex *x, int *incx, complex *a, int uplo_len);
extern void CHPR2(char *uplo, int *n, complex *alpha, complex *x, int *incx, complex *y, int *incy, complex *a, int uplo_len);
extern void CROTG(complex *a, complex *b, float *c, complex *s);
extern void CSCAL(int *n, complex *alpha, complex *x, int *incx);
extern void CSSCAL(int *n, float *alpha, complex *x, int *incx);
extern void CSWAP(int *n, complex *x, int *incx, complex *y, int *incy);
extern void CSYMM(char *side, char *uplo, int *m, int *n, complex *alpha, complex *a, int *lda, complex *b, int *ldb, complex *beta, complex *c, int *ldc, int side_len, int uplo_len);
extern void CSYR2K(char *uplo, char *trans, int *n, int *k, complex *alpha, complex *a, int *lda, complex *b, int *ldb, complex *beta, complex *c, int *ldc, int uplo_len, int trans_len);
extern void CSYRK(char *uplo, char *trans, int *n, int *k, complex *alpha, complex *a, int *lda, complex *beta, complex *c, int *ldc, int uplo_len, int trans_len);
extern void CTBMV(char *uplo, char *trans, char *diag, int *n, int *k, complex *a, int *lda, complex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void CTBSV(char *uplo, char *trans, char *diag, int *n, int *k, complex *a, int *lda, complex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void CTPMV(char *uplo, char *trans, char *diag, int *n, complex *ap, complex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void CTPSV(char *uplo, char *trans, char *diag, int *n, complex *ap, complex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void CTRMM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, complex *alpha, complex *a, int *lda, complex *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void CTRMV(char *uplo, char *trans, char *diag, int *n, complex *a, int *lda, complex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void CTRSM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, complex *alpha, complex *a, int *lda, complex *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void CTRSV(char *uplo, char *trans, char *diag, int *n, complex *a, int *lda, complex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern double DASUM(int *n, double *x, int *incx);
extern void DAXPY(int *n, double *alpha, double *x, int *incx, double *y, int *incy);
extern double DCABS1(doublecomplex *z);
extern void DCOPY(int *n, double *x, int *incx, double *y, int *incy);
extern double DDOT(int *n, double *x, int *incx, double *y, int *incy);
extern void DGBMV(char *trans, int *m, int *n, int *kl, int *ku, double *alpha, double *a, int *lda, double *x, int *incx, double *beta, double *y, int *incy, int trans_len);
extern void DGEMM(char *transa, char *transb, int *m, int *n, int *k, double *alpha, double *a, int *lda, double *b, int *ldb, double *beta, double *c, int *ldc, int transa_len, int transb_len);
extern void DGEMV(char *trans, int *m, int *n, double *alpha, double *a, int *lda, double *x, int *incx, double *beta, double *y, int *incy, int trans_len);
extern void DGER(int *m, int *n, double *alpha, double *x, int *incx, double *y, int *incy, double *a, int *lda);
extern double DNRM2(int *n, double *x, int *incx);
extern void DROT(int *n, double *x, int *incx, double *y, int *incy, double *c, double *s);
extern void DROTG(double *a, double *b, double *c, double *s);
extern void DSBMV(char *uplo, int *n, int *k, double *alpha, double *a, int *lda, double *x, int *incx, double *beta, double *y, int *incy, int uplo_len);
extern void DSCAL(int *n, double *alpha, double *x, int *incx);
extern void DSPMV(char *uplo, int *n, double *alpha, double *ap, double *x, int *incx, double *beta, double *y, int *incy, int uplo_len);
extern void DSPR(char *uplo, int *n, double *alpha, double *x, int *incx, double *ap, int uplo_len);
extern void DSPR2(char *uplo, int *n, double *alpha, double *x, int *incx, double *y, int *incy, double *ap, int uplo_len);
extern void DSWAP(int *n, double *x, int *incx, double *y, int *incy);
extern void DSYMM(char *side, char *uplo, int *m, int *n, double *alpha, double *a, int *lda, double *b, int *ldb, double *beta, double *c, int *ldc, int side_len, int uplo_len);
extern void DSYMV(char *uplo, int *n, double *alpha, double *a, int *lda, double *x, int *incx, double *beta, double *y, int *incy, int uplo_len);
extern void DSYR(char *uplo, int *n, double *alpha, double *x, int *incx, double *a, int *lda, int uplo_len);
extern void DSYR2(char *uplo, int *n, double *alpha, double *x, int *incx, double *y, int *incy, double *a, int *lda, int uplo_len);
extern void DSYR2K(char *uplo, char *trans, int *n, int *k, double *alpha, double *a, int *lda, double *b, int *ldb, double *beta, double *c, int *ldc, int uplo_len, int trans_len);
extern void DSYRK(char *uplo, char *trans, int *n, int *k, double *alpha, double *a, int *lda, double *beta, double *c, int *ldc, int uplo_len, int trans_len);
extern void DTBMV(char *uplo, char *trans, char *diag, int *n, int *k, double *a, int *lda, double *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void DTBSV(char *uplo, char *trans, char *diag, int *n, int *k, double *a, int *lda, double *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void DTPMV(char *uplo, char *trans, char *diag, int *n, double *ap, double *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void DTPSV(char *uplo, char *trans, char *diag, int *n, double *ap, double *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void DTRMM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, double *alpha, double *a, int *lda, double *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void DTRMV(char *uplo, char *trans, char *diag, int *n, double *a, int *lda, double *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void DTRSM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, double *alpha, double *a, int *lda, double *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void DTRSV(char *uplo, char *trans, char *diag, int *n, double *a, int *lda, double *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern double DZASUM(int *n, doublecomplex *x, int *incx);
extern double DZNRM2(int *n, doublecomplex *x, int *incx);
extern int ICAMAX(int *n, complex *x, int *incx);
extern int IDAMAX(int *n, double *x, int *incx);
extern int ISAMAX(int *n, float *x, int *incx);
extern int IZAMAX(int *n, doublecomplex *x, int *incx);
extern double SASUM(int *n, float *x, int *incx);
extern void SAXPY(int *n, float *alpha, float *x, int *incx, float *y, int *incy);
extern double SCASUM(int *n, complex *x, int *incx);
extern double SCNRM2(int *n, complex *x, int *incx);
extern void SCOPY(int *n, float *x, int *incx, float *y, int *incy);
extern double SDOT(int *n, float *x, int *incx, float *y, int *incy);
extern void SGBMV(char *trans, int *m, int *n, int *kl, int *ku, float *alpha, float *a, int *lda, float *x, int *incx, float *beta, float *y, int *incy, int trans_len);
extern void SGEMM(char *transa, char *transb, int *m, int *n, int *k, float *alpha, float *a, int *lda, float *b, int *ldb, float *beta, float *c, int *ldc, int transa_len, int transb_len);
extern void SGEMV(char *trans, int *m, int *n, float *alpha, float *a, int *lda, float *x, int *incx, float *beta, float *y, int *incy, int trans_len);
extern void SGER(int *m, int *n, float *alpha, float *x, int *incx, float *y, int *incy, float *a, int *lda);
extern double SNRM2(int *n, float *x, int *incx);
extern void SROT(int *n, float *x, int *incx, float *y, int *incy, float *c, float *s);
extern void SROTG(float *a, float *b, float *c, float *s);
extern void SSBMV(char *uplo, int *n, int *k, float *alpha, float *a, int *lda, float *x, int *incx, float *beta, float *y, int *incy, int uplo_len);
extern void SSCAL(int *n, float *alpha, float *x, int *incx);
extern void SSPMV(char *uplo, int *n, float *alpha, float *ap, float *x, int *incx, float *beta, float *y, int *incy, int uplo_len);
extern void SSPR(char *uplo, int *n, float *alpha, float *x, int *incx, float *ap, int uplo_len);
extern void SSPR2(char *uplo, int *n, float *alpha, float *x, int *incx, float *y, int *incy, float *ap, int uplo_len);
extern void SSWAP(int *n, float *x, int *incx, float *y, int *incy);
extern void SSYMM(char *side, char *uplo, int *m, int *n, float *alpha, float *a, int *lda, float *b, int *ldb, float *beta, float *c, int *ldc, int side_len, int uplo_len);
extern void SSYMV(char *uplo, int *n, float *alpha, float *a, int *lda, float *x, int *incx, float *beta, float *y, int *incy, int uplo_len);
extern void SSYR(char *uplo, int *n, float *alpha, float *x, int *incx, float *a, int *lda, int uplo_len);
extern void SSYR2(char *uplo, int *n, float *alpha, float *x, int *incx, float *y, int *incy, float *a, int *lda, int uplo_len);
extern void SSYR2K(char *uplo, char *trans, int *n, int *k, float *alpha, float *a, int *lda, float *b, int *ldb, float *beta, float *c, int *ldc, int uplo_len, int trans_len);
extern void SSYRK(char *uplo, char *trans, int *n, int *k, float *alpha, float *a, int *lda, float *beta, float *c, int *ldc, int uplo_len, int trans_len);
extern void STBMV(char *uplo, char *trans, char *diag, int *n, int *k, float *a, int *lda, float *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void STBSV(char *uplo, char *trans, char *diag, int *n, int *k, float *a, int *lda, float *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void STPMV(char *uplo, char *trans, char *diag, int *n, float *ap, float *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void STPSV(char *uplo, char *trans, char *diag, int *n, float *ap, float *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void STRMM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, float *alpha, float *a, int *lda, float *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void STRMV(char *uplo, char *trans, char *diag, int *n, float *a, int *lda, float *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void STRSM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, float *alpha, float *a, int *lda, float *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void STRSV(char *uplo, char *trans, char *diag, int *n, float *a, int *lda, float *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void ZAXPY(int *n, doublecomplex *alpha, doublecomplex *x, int *incx, doublecomplex *y, int *incy);
extern void ZCOPY(int *n, doublecomplex *x, int *incx, doublecomplex *y, int *incy);
extern void ZDOTC(int *n, doublecomplex *x, int *incx, doublecomplex *y, int *incy, doublecomplex *ret_val);
extern void ZDOTU(int *n, doublecomplex *x, int *incx, doublecomplex *y, int *incy, doublecomplex *ret_val);
extern void ZDSCAL(int *n, double *alpha, doublecomplex *x, int *incx);
extern void ZGBMV(char *trans, int *m, int *n, int *kl, int *ku, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *x, int *incx, doublecomplex *beta, doublecomplex *y, int *incy, int trans_len);
extern void ZGEMM(char *transa, char *transb, int *m, int *n, int *k, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, doublecomplex *beta, doublecomplex *c, int *ldc, int transa_len, int transb_len);
extern void ZGEMV(char *trans, int *m, int *n, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *x, int *incx, doublecomplex *beta, doublecomplex *y, int *incy, int trans_len);
extern void ZGERC(int *m, int *n, doublecomplex *alpha, doublecomplex *x, int *incx, doublecomplex *y, int *incy, doublecomplex *a, int *lda);
extern void ZGERU(int *m, int *n, doublecomplex *alpha, doublecomplex *x, int *incx, doublecomplex *y, int *incy, doublecomplex *a, int *lda);
extern void ZHBMV(char *uplo, int *n, int *k, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *x, int *incx, doublecomplex *beta, doublecomplex *y, int *incy, int uplo_len);
extern void ZHEMM(char *side, char *uplo, int *m, int *n, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, doublecomplex *beta, doublecomplex *c, int *ldc, int side_len, int uplo_len);
extern void ZHEMV(char *uplo, int *n, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *x, int *incx, doublecomplex *beta, doublecomplex *y, int *incy, int uplo_len);
extern void ZHER(char *uplo, int *n, double *alpha, doublecomplex *x, int *incx, doublecomplex *a, int *lda, int uplo_len);
extern void ZHER2(char *uplo, int *n, doublecomplex *alpha, doublecomplex *x, int *incx, doublecomplex *y, int *incy, doublecomplex *a, int *lda, int uplo_len);
extern void ZHER2K(char *uplo, char *trans, int *n, int *k, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, double *beta, doublecomplex *c, int *ldc, int uplo_len, int trans_len);
extern void ZHERK(char *uplo, char *trans, int *n, int *k, double *alpha, doublecomplex *a, int *lda, double *beta, doublecomplex *c, int *ldc, int uplo_len, int trans_len);
extern void ZHPMV(char *uplo, int *n, doublecomplex *alpha, doublecomplex *a, doublecomplex *x, int *incx, doublecomplex *beta, doublecomplex *y, int *incy, int uplo_len);
extern void ZHPR(char *uplo, int *n, double *alpha, doublecomplex *x, int *incx, doublecomplex *a, int uplo_len);
extern void ZHPR2(char *uplo, int *n, doublecomplex *alpha, doublecomplex *x, int *incx, doublecomplex *y, int *incy, doublecomplex *a, int uplo_len);
extern void ZROTG(doublecomplex *a, doublecomplex *b, double *c, doublecomplex *s);
extern void ZSCAL(int *n, doublecomplex *alpha, doublecomplex *x, int *incx);
extern void ZSWAP(int *n, doublecomplex *x, int *incx, doublecomplex *y, int *incy);
extern void ZSYMM(char *side, char *uplo, int *m, int *n, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, doublecomplex *beta, doublecomplex *c, int *ldc, int side_len, int uplo_len);
extern void ZSYR2K(char *uplo, char *trans, int *n, int *k, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, doublecomplex *beta, doublecomplex *c, int *ldc, int uplo_len, int trans_len);
extern void ZSYRK(char *uplo, char *trans, int *n, int *k, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *beta, doublecomplex *c, int *ldc, int uplo_len, int trans_len);
extern void ZTBMV(char *uplo, char *trans, char *diag, int *n, int *k, doublecomplex *a, int *lda, doublecomplex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void ZTBSV(char *uplo, char *trans, char *diag, int *n, int *k, doublecomplex *a, int *lda, doublecomplex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void ZTPMV(char *uplo, char *trans, char *diag, int *n, doublecomplex *ap, doublecomplex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void ZTPSV(char *uplo, char *trans, char *diag, int *n, doublecomplex *ap, doublecomplex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void ZTRMM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void ZTRMV(char *uplo, char *trans, char *diag, int *n, doublecomplex *a, int *lda, doublecomplex *x, int *incx, int uplo_len, int trans_len, int diag_len);
extern void ZTRSM(char *side, char *uplo, char *transa, char *diag, int *m, int *n, doublecomplex *alpha, doublecomplex *a, int *lda, doublecomplex *b, int *ldb, int side_len, int uplo_len, int transa_len, int diag_len);
extern void ZTRSV(char *uplo, char *trans, char *diag, int *n, doublecomplex *a, int *lda, doublecomplex *x, int *incx, int uplo_len, int trans_len, int diag_len);
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