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+
+// =================================================================================================
+// This file is part of the CLBlast project. The project is licensed under Apache Version 2.0. This
+// project loosely follows the Google C++ styleguide and uses a tab-size of two spaces and a max-
+// width of 100 characters per line.
+//
+// Author(s):
+// Cedric Nugteren <www.cedricnugteren.nl>
+//
+// This file contains the Netlib CBLAS interface to the CLBlast BLAS routines, performing all buffer
+// copies automatically and running on the default OpenCL platform and device. For full control over
+// performance, it is advised to use the regular clblast.h or clblast_c.h headers instead.
+//
+// =================================================================================================
+
+#ifndef CLBLAST_CLBLAST_BLAS_H_
+#define CLBLAST_CLBLAST_BLAS_H_
+
+// Exports library functions under Windows when building a DLL. See also:
+// https://msdn.microsoft.com/en-us/library/a90k134d.aspx
+#ifdef _WIN32
+ #ifdef COMPILING_DLL
+ #define PUBLIC_API __declspec(dllexport)
+ #else
+ #define PUBLIC_API __declspec(dllimport)
+ #endif
+#else
+ #define PUBLIC_API
+#endif
+
+// The C interface
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+// =================================================================================================
+
+// Matrix layout and transpose types
+typedef enum Layout_ { kRowMajor = 101, kColMajor = 102 } Layout;
+typedef enum Transpose_ { kNo = 111, kYes = 112, kConjugate = 113 } Transpose;
+typedef enum Triangle_ { kUpper = 121, kLower = 122 } Triangle;
+typedef enum Diagonal_ { kNonUnit = 131, kUnit = 132 } Diagonal;
+typedef enum Side_ { kLeft = 141, kRight = 142 } Side;
+
+// =================================================================================================
+// BLAS level-1 (vector-vector) routines
+// =================================================================================================
+
+// Generate givens plane rotation: SROTG/DROTG
+void PUBLIC_API cblas_srotg(float* sa,
+ float* sb,
+ float* sc,
+ float* ss);
+void PUBLIC_API cblas_drotg(double* sa,
+ double* sb,
+ double* sc,
+ double* ss);
+
+// Generate modified givens plane rotation: SROTMG/DROTMG
+void PUBLIC_API cblas_srotmg(float* sd1,
+ float* sd2,
+ float* sx1,
+ const float* sy1,
+ float* sparam);
+void PUBLIC_API cblas_drotmg(double* sd1,
+ double* sd2,
+ double* sx1,
+ const double* sy1,
+ double* sparam);
+
+// Apply givens plane rotation: SROT/DROT
+void PUBLIC_API cblas_srot(const int n,
+ float* x, const int x_inc,
+ float* y, const int y_inc,
+ const float cos,
+ const float sin);
+void PUBLIC_API cblas_drot(const int n,
+ double* x, const int x_inc,
+ double* y, const int y_inc,
+ const double cos,
+ const double sin);
+
+// Apply modified givens plane rotation: SROTM/DROTM
+void PUBLIC_API cblas_srotm(const int n,
+ float* x, const int x_inc,
+ float* y, const int y_inc,
+ float* sparam);
+void PUBLIC_API cblas_drotm(const int n,
+ double* x, const int x_inc,
+ double* y, const int y_inc,
+ double* sparam);
+
+// Swap two vectors: SSWAP/DSWAP/CSWAP/ZSWAP/HSWAP
+void PUBLIC_API cblas_sswap(const int n,
+ float* x, const int x_inc,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dswap(const int n,
+ double* x, const int x_inc,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_cswap(const int n,
+ float2* x, const int x_inc,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zswap(const int n,
+ double2* x, const int x_inc,
+ double2* y, const int y_inc);
+void PUBLIC_API cblas_hswap(const int n,
+ half* x, const int x_inc,
+ half* y, const int y_inc);
+
+// Vector scaling: SSCAL/DSCAL/CSCAL/ZSCAL/HSCAL
+void PUBLIC_API cblas_sscal(const int n,
+ const float alpha,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dscal(const int n,
+ const double alpha,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_cscal(const int n,
+ const void* alpha,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_zscal(const int n,
+ const void* alpha,
+ double2* x, const int x_inc);
+void PUBLIC_API cblas_hscal(const int n,
+ const void* alpha,
+ half* x, const int x_inc);
+
+// Vector copy: SCOPY/DCOPY/CCOPY/ZCOPY/HCOPY
+void PUBLIC_API cblas_scopy(const int n,
+ const float* x, const int x_inc,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dcopy(const int n,
+ const double* x, const int x_inc,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_ccopy(const int n,
+ const float2* x, const int x_inc,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zcopy(const int n,
+ const double2* x, const int x_inc,
+ double2* y, const int y_inc);
+void PUBLIC_API cblas_hcopy(const int n,
+ const half* x, const int x_inc,
+ half* y, const int y_inc);
+
+// Vector-times-constant plus vector: SAXPY/DAXPY/CAXPY/ZAXPY/HAXPY
+void PUBLIC_API cblas_saxpy(const int n,
+ const float alpha,
+ const float* x, const int x_inc,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_daxpy(const int n,
+ const double alpha,
+ const double* x, const int x_inc,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_caxpy(const int n,
+ const void* alpha,
+ const float2* x, const int x_inc,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zaxpy(const int n,
+ const void* alpha,
+ const double2* x, const int x_inc,
+ double2* y, const int y_inc);
+void PUBLIC_API cblas_haxpy(const int n,
+ const void* alpha,
+ const half* x, const int x_inc,
+ half* y, const int y_inc);
+
+// Dot product of two vectors: SDOT/DDOT/HDOT
+void PUBLIC_API cblas_sdot(const int n,
+ float* dot,
+ const float* x, const int x_inc,
+ const float* y, const int y_inc);
+void PUBLIC_API cblas_ddot(const int n,
+ double* dot,
+ const double* x, const int x_inc,
+ const double* y, const int y_inc);
+void PUBLIC_API cblas_hdot(const int n,
+ half* dot,
+ const half* x, const int x_inc,
+ const half* y, const int y_inc);
+
+// Dot product of two complex vectors: CDOTU/ZDOTU
+void PUBLIC_API cblas_cdotu(const int n,
+ float2* dot,
+ const float2* x, const int x_inc,
+ const float2* y, const int y_inc);
+void PUBLIC_API cblas_zdotu(const int n,
+ double2* dot,
+ const double2* x, const int x_inc,
+ const double2* y, const int y_inc);
+
+// Dot product of two complex vectors, one conjugated: CDOTC/ZDOTC
+void PUBLIC_API cblas_cdotc(const int n,
+ float2* dot,
+ const float2* x, const int x_inc,
+ const float2* y, const int y_inc);
+void PUBLIC_API cblas_zdotc(const int n,
+ double2* dot,
+ const double2* x, const int x_inc,
+ const double2* y, const int y_inc);
+
+// Euclidian norm of a vector: SNRM2/DNRM2/ScNRM2/DzNRM2/HNRM2
+void PUBLIC_API cblas_snrm2(const int n,
+ float* nrm2,
+ const float* x, const int x_inc);
+void PUBLIC_API cblas_dnrm2(const int n,
+ double* nrm2,
+ const double* x, const int x_inc);
+void PUBLIC_API cblas_scnrm2(const int n,
+ float2* nrm2,
+ const float2* x, const int x_inc);
+void PUBLIC_API cblas_dznrm2(const int n,
+ double2* nrm2,
+ const double2* x, const int x_inc);
+void PUBLIC_API cblas_hnrm2(const int n,
+ half* nrm2,
+ const half* x, const int x_inc);
+
+// Absolute sum of values in a vector: SASUM/DASUM/ScASUM/DzASUM/HASUM
+void PUBLIC_API cblas_sasum(const int n,
+ float* asum,
+ const float* x, const int x_inc);
+void PUBLIC_API cblas_dasum(const int n,
+ double* asum,
+ const double* x, const int x_inc);
+void PUBLIC_API cblas_scasum(const int n,
+ float2* asum,
+ const float2* x, const int x_inc);
+void PUBLIC_API cblas_dzasum(const int n,
+ double2* asum,
+ const double2* x, const int x_inc);
+void PUBLIC_API cblas_hasum(const int n,
+ half* asum,
+ const half* x, const int x_inc);
+
+// Sum of values in a vector (non-BLAS function): SSUM/DSUM/ScSUM/DzSUM/HSUM
+void PUBLIC_API cblas_ssum(const int n,
+ float* sum,
+ const float* x, const int x_inc);
+void PUBLIC_API cblas_dsum(const int n,
+ double* sum,
+ const double* x, const int x_inc);
+void PUBLIC_API cblas_scsum(const int n,
+ float2* sum,
+ const float2* x, const int x_inc);
+void PUBLIC_API cblas_dzsum(const int n,
+ double2* sum,
+ const double2* x, const int x_inc);
+void PUBLIC_API cblas_hsum(const int n,
+ half* sum,
+ const half* x, const int x_inc);
+
+// Index of absolute maximum value in a vector: iSAMAX/iDAMAX/iCAMAX/iZAMAX/iHAMAX
+void PUBLIC_API cblas_isamax(const int n,
+ float* imax,
+ const float* x, const int x_inc);
+void PUBLIC_API cblas_idamax(const int n,
+ double* imax,
+ const double* x, const int x_inc);
+void PUBLIC_API cblas_icamax(const int n,
+ float2* imax,
+ const float2* x, const int x_inc);
+void PUBLIC_API cblas_izamax(const int n,
+ double2* imax,
+ const double2* x, const int x_inc);
+void PUBLIC_API cblas_ihamax(const int n,
+ half* imax,
+ const half* x, const int x_inc);
+
+// Index of maximum value in a vector (non-BLAS function): iSMAX/iDMAX/iCMAX/iZMAX/iHMAX
+void PUBLIC_API cblas_ismax(const int n,
+ float* imax,
+ const float* x, const int x_inc);
+void PUBLIC_API cblas_idmax(const int n,
+ double* imax,
+ const double* x, const int x_inc);
+void PUBLIC_API cblas_icmax(const int n,
+ float2* imax,
+ const float2* x, const int x_inc);
+void PUBLIC_API cblas_izmax(const int n,
+ double2* imax,
+ const double2* x, const int x_inc);
+void PUBLIC_API cblas_ihmax(const int n,
+ half* imax,
+ const half* x, const int x_inc);
+
+// Index of minimum value in a vector (non-BLAS function): iSMIN/iDMIN/iCMIN/iZMIN/iHMIN
+void PUBLIC_API cblas_ismin(const int n,
+ float* imin,
+ const float* x, const int x_inc);
+void PUBLIC_API cblas_idmin(const int n,
+ double* imin,
+ const double* x, const int x_inc);
+void PUBLIC_API cblas_icmin(const int n,
+ float2* imin,
+ const float2* x, const int x_inc);
+void PUBLIC_API cblas_izmin(const int n,
+ double2* imin,
+ const double2* x, const int x_inc);
+void PUBLIC_API cblas_ihmin(const int n,
+ half* imin,
+ const half* x, const int x_inc);
+
+// =================================================================================================
+// BLAS level-2 (matrix-vector) routines
+// =================================================================================================
+
+// General matrix-vector multiplication: SGEMV/DGEMV/CGEMV/ZGEMV/HGEMV
+void PUBLIC_API cblas_sgemv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* x, const int x_inc,
+ const float beta,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dgemv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* x, const int x_inc,
+ const double beta,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_cgemv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* x, const int x_inc,
+ const void* beta,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zgemv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* x, const int x_inc,
+ const void* beta,
+ double2* y, const int y_inc);
+void PUBLIC_API cblas_hgemv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* x, const int x_inc,
+ const void* beta,
+ half* y, const int y_inc);
+
+// General banded matrix-vector multiplication: SGBMV/DGBMV/CGBMV/ZGBMV/HGBMV
+void PUBLIC_API cblas_sgbmv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n, const int kl, const int ku,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* x, const int x_inc,
+ const float beta,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dgbmv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n, const int kl, const int ku,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* x, const int x_inc,
+ const double beta,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_cgbmv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n, const int kl, const int ku,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* x, const int x_inc,
+ const void* beta,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zgbmv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n, const int kl, const int ku,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* x, const int x_inc,
+ const void* beta,
+ double2* y, const int y_inc);
+void PUBLIC_API cblas_hgbmv(const Layout layout, const Transpose a_transpose,
+ const int m, const int n, const int kl, const int ku,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* x, const int x_inc,
+ const void* beta,
+ half* y, const int y_inc);
+
+// Hermitian matrix-vector multiplication: CHEMV/ZHEMV
+void PUBLIC_API cblas_chemv(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* x, const int x_inc,
+ const void* beta,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zhemv(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* x, const int x_inc,
+ const void* beta,
+ double2* y, const int y_inc);
+
+// Hermitian banded matrix-vector multiplication: CHBMV/ZHBMV
+void PUBLIC_API cblas_chbmv(const Layout layout, const Triangle triangle,
+ const int n, const int k,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* x, const int x_inc,
+ const void* beta,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zhbmv(const Layout layout, const Triangle triangle,
+ const int n, const int k,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* x, const int x_inc,
+ const void* beta,
+ double2* y, const int y_inc);
+
+// Hermitian packed matrix-vector multiplication: CHPMV/ZHPMV
+void PUBLIC_API cblas_chpmv(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const float2* ap,
+ const float2* x, const int x_inc,
+ const void* beta,
+ float2* y, const int y_inc);
+void PUBLIC_API cblas_zhpmv(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const double2* ap,
+ const double2* x, const int x_inc,
+ const void* beta,
+ double2* y, const int y_inc);
+
+// Symmetric matrix-vector multiplication: SSYMV/DSYMV/HSYMV
+void PUBLIC_API cblas_ssymv(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* x, const int x_inc,
+ const float beta,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dsymv(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* x, const int x_inc,
+ const double beta,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_hsymv(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* x, const int x_inc,
+ const void* beta,
+ half* y, const int y_inc);
+
+// Symmetric banded matrix-vector multiplication: SSBMV/DSBMV/HSBMV
+void PUBLIC_API cblas_ssbmv(const Layout layout, const Triangle triangle,
+ const int n, const int k,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* x, const int x_inc,
+ const float beta,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dsbmv(const Layout layout, const Triangle triangle,
+ const int n, const int k,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* x, const int x_inc,
+ const double beta,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_hsbmv(const Layout layout, const Triangle triangle,
+ const int n, const int k,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* x, const int x_inc,
+ const void* beta,
+ half* y, const int y_inc);
+
+// Symmetric packed matrix-vector multiplication: SSPMV/DSPMV/HSPMV
+void PUBLIC_API cblas_sspmv(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float* ap,
+ const float* x, const int x_inc,
+ const float beta,
+ float* y, const int y_inc);
+void PUBLIC_API cblas_dspmv(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double* ap,
+ const double* x, const int x_inc,
+ const double beta,
+ double* y, const int y_inc);
+void PUBLIC_API cblas_hspmv(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const half* ap,
+ const half* x, const int x_inc,
+ const void* beta,
+ half* y, const int y_inc);
+
+// Triangular matrix-vector multiplication: STRMV/DTRMV/CTRMV/ZTRMV/HTRMV
+void PUBLIC_API cblas_strmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float* a, const int a_ld,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dtrmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double* a, const int a_ld,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_ctrmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float2* a, const int a_ld,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_ztrmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double2* a, const int a_ld,
+ double2* x, const int x_inc);
+void PUBLIC_API cblas_htrmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const half* a, const int a_ld,
+ half* x, const int x_inc);
+
+// Triangular banded matrix-vector multiplication: STBMV/DTBMV/CTBMV/ZTBMV/HTBMV
+void PUBLIC_API cblas_stbmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const float* a, const int a_ld,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dtbmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const double* a, const int a_ld,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_ctbmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const float2* a, const int a_ld,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_ztbmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const double2* a, const int a_ld,
+ double2* x, const int x_inc);
+void PUBLIC_API cblas_htbmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const half* a, const int a_ld,
+ half* x, const int x_inc);
+
+// Triangular packed matrix-vector multiplication: STPMV/DTPMV/CTPMV/ZTPMV/HTPMV
+void PUBLIC_API cblas_stpmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float* ap,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dtpmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double* ap,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_ctpmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float2* ap,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_ztpmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double2* ap,
+ double2* x, const int x_inc);
+void PUBLIC_API cblas_htpmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const half* ap,
+ half* x, const int x_inc);
+
+// Solves a triangular system of equations: STRSV/DTRSV/CTRSV/ZTRSV
+void PUBLIC_API cblas_strsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float* a, const int a_ld,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dtrsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double* a, const int a_ld,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_ctrsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float2* a, const int a_ld,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_ztrsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double2* a, const int a_ld,
+ double2* x, const int x_inc);
+
+// Solves a banded triangular system of equations: STBSV/DTBSV/CTBSV/ZTBSV
+void PUBLIC_API cblas_stbsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const float* a, const int a_ld,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dtbsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const double* a, const int a_ld,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_ctbsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const float2* a, const int a_ld,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_ztbsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n, const int k,
+ const double2* a, const int a_ld,
+ double2* x, const int x_inc);
+
+// Solves a packed triangular system of equations: STPSV/DTPSV/CTPSV/ZTPSV
+void PUBLIC_API cblas_stpsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float* ap,
+ float* x, const int x_inc);
+void PUBLIC_API cblas_dtpsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double* ap,
+ double* x, const int x_inc);
+void PUBLIC_API cblas_ctpsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const float2* ap,
+ float2* x, const int x_inc);
+void PUBLIC_API cblas_ztpsv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int n,
+ const double2* ap,
+ double2* x, const int x_inc);
+
+// General rank-1 matrix update: SGER/DGER/HGER
+void PUBLIC_API cblas_sger(const Layout layout,
+ const int m, const int n,
+ const float alpha,
+ const float* x, const int x_inc,
+ const float* y, const int y_inc,
+ float* a, const int a_ld);
+void PUBLIC_API cblas_dger(const Layout layout,
+ const int m, const int n,
+ const double alpha,
+ const double* x, const int x_inc,
+ const double* y, const int y_inc,
+ double* a, const int a_ld);
+void PUBLIC_API cblas_hger(const Layout layout,
+ const int m, const int n,
+ const void* alpha,
+ const half* x, const int x_inc,
+ const half* y, const int y_inc,
+ half* a, const int a_ld);
+
+// General rank-1 complex matrix update: CGERU/ZGERU
+void PUBLIC_API cblas_cgeru(const Layout layout,
+ const int m, const int n,
+ const void* alpha,
+ const float2* x, const int x_inc,
+ const float2* y, const int y_inc,
+ float2* a, const int a_ld);
+void PUBLIC_API cblas_zgeru(const Layout layout,
+ const int m, const int n,
+ const void* alpha,
+ const double2* x, const int x_inc,
+ const double2* y, const int y_inc,
+ double2* a, const int a_ld);
+
+// General rank-1 complex conjugated matrix update: CGERC/ZGERC
+void PUBLIC_API cblas_cgerc(const Layout layout,
+ const int m, const int n,
+ const void* alpha,
+ const float2* x, const int x_inc,
+ const float2* y, const int y_inc,
+ float2* a, const int a_ld);
+void PUBLIC_API cblas_zgerc(const Layout layout,
+ const int m, const int n,
+ const void* alpha,
+ const double2* x, const int x_inc,
+ const double2* y, const int y_inc,
+ double2* a, const int a_ld);
+
+// Hermitian rank-1 matrix update: CHER/ZHER
+void PUBLIC_API cblas_cher(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float2* x, const int x_inc,
+ float2* a, const int a_ld);
+void PUBLIC_API cblas_zher(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double2* x, const int x_inc,
+ double2* a, const int a_ld);
+
+// Hermitian packed rank-1 matrix update: CHPR/ZHPR
+void PUBLIC_API cblas_chpr(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float2* x, const int x_inc,
+ float2* ap);
+void PUBLIC_API cblas_zhpr(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double2* x, const int x_inc,
+ double2* ap);
+
+// Hermitian rank-2 matrix update: CHER2/ZHER2
+void PUBLIC_API cblas_cher2(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const float2* x, const int x_inc,
+ const float2* y, const int y_inc,
+ float2* a, const int a_ld);
+void PUBLIC_API cblas_zher2(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const double2* x, const int x_inc,
+ const double2* y, const int y_inc,
+ double2* a, const int a_ld);
+
+// Hermitian packed rank-2 matrix update: CHPR2/ZHPR2
+void PUBLIC_API cblas_chpr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const float2* x, const int x_inc,
+ const float2* y, const int y_inc,
+ float2* ap);
+void PUBLIC_API cblas_zhpr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const double2* x, const int x_inc,
+ const double2* y, const int y_inc,
+ double2* ap);
+
+// Symmetric rank-1 matrix update: SSYR/DSYR/HSYR
+void PUBLIC_API cblas_ssyr(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float* x, const int x_inc,
+ float* a, const int a_ld);
+void PUBLIC_API cblas_dsyr(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double* x, const int x_inc,
+ double* a, const int a_ld);
+void PUBLIC_API cblas_hsyr(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const half* x, const int x_inc,
+ half* a, const int a_ld);
+
+// Symmetric packed rank-1 matrix update: SSPR/DSPR/HSPR
+void PUBLIC_API cblas_sspr(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float* x, const int x_inc,
+ float* ap);
+void PUBLIC_API cblas_dspr(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double* x, const int x_inc,
+ double* ap);
+void PUBLIC_API cblas_hspr(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const half* x, const int x_inc,
+ half* ap);
+
+// Symmetric rank-2 matrix update: SSYR2/DSYR2/HSYR2
+void PUBLIC_API cblas_ssyr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float* x, const int x_inc,
+ const float* y, const int y_inc,
+ float* a, const int a_ld);
+void PUBLIC_API cblas_dsyr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double* x, const int x_inc,
+ const double* y, const int y_inc,
+ double* a, const int a_ld);
+void PUBLIC_API cblas_hsyr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const half* x, const int x_inc,
+ const half* y, const int y_inc,
+ half* a, const int a_ld);
+
+// Symmetric packed rank-2 matrix update: SSPR2/DSPR2/HSPR2
+void PUBLIC_API cblas_sspr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const float alpha,
+ const float* x, const int x_inc,
+ const float* y, const int y_inc,
+ float* ap);
+void PUBLIC_API cblas_dspr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const double alpha,
+ const double* x, const int x_inc,
+ const double* y, const int y_inc,
+ double* ap);
+void PUBLIC_API cblas_hspr2(const Layout layout, const Triangle triangle,
+ const int n,
+ const void* alpha,
+ const half* x, const int x_inc,
+ const half* y, const int y_inc,
+ half* ap);
+
+// =================================================================================================
+// BLAS level-3 (matrix-matrix) routines
+// =================================================================================================
+
+// General matrix-matrix multiplication: SGEMM/DGEMM/CGEMM/ZGEMM/HGEMM
+void PUBLIC_API cblas_sgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose,
+ const int m, const int n, const int k,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* b, const int b_ld,
+ const float beta,
+ float* c, const int c_ld);
+void PUBLIC_API cblas_dgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose,
+ const int m, const int n, const int k,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* b, const int b_ld,
+ const double beta,
+ double* c, const int c_ld);
+void PUBLIC_API cblas_cgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose,
+ const int m, const int n, const int k,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* b, const int b_ld,
+ const void* beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose,
+ const int m, const int n, const int k,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* b, const int b_ld,
+ const void* beta,
+ double2* c, const int c_ld);
+void PUBLIC_API cblas_hgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose,
+ const int m, const int n, const int k,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* b, const int b_ld,
+ const void* beta,
+ half* c, const int c_ld);
+
+// Symmetric matrix-matrix multiplication: SSYMM/DSYMM/CSYMM/ZSYMM/HSYMM
+void PUBLIC_API cblas_ssymm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* b, const int b_ld,
+ const float beta,
+ float* c, const int c_ld);
+void PUBLIC_API cblas_dsymm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* b, const int b_ld,
+ const double beta,
+ double* c, const int c_ld);
+void PUBLIC_API cblas_csymm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* b, const int b_ld,
+ const void* beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zsymm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* b, const int b_ld,
+ const void* beta,
+ double2* c, const int c_ld);
+void PUBLIC_API cblas_hsymm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* b, const int b_ld,
+ const void* beta,
+ half* c, const int c_ld);
+
+// Hermitian matrix-matrix multiplication: CHEMM/ZHEMM
+void PUBLIC_API cblas_chemm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* b, const int b_ld,
+ const void* beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zhemm(const Layout layout, const Side side, const Triangle triangle,
+ const int m, const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* b, const int b_ld,
+ const void* beta,
+ double2* c, const int c_ld);
+
+// Rank-K update of a symmetric matrix: SSYRK/DSYRK/CSYRK/ZSYRK/HSYRK
+void PUBLIC_API cblas_ssyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float beta,
+ float* c, const int c_ld);
+void PUBLIC_API cblas_dsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double beta,
+ double* c, const int c_ld);
+void PUBLIC_API cblas_csyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const void* beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const void* beta,
+ double2* c, const int c_ld);
+void PUBLIC_API cblas_hsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const void* beta,
+ half* c, const int c_ld);
+
+// Rank-K update of a hermitian matrix: CHERK/ZHERK
+void PUBLIC_API cblas_cherk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const float alpha,
+ const float2* a, const int a_ld,
+ const float beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zherk(const Layout layout, const Triangle triangle, const Transpose a_transpose,
+ const int n, const int k,
+ const double alpha,
+ const double2* a, const int a_ld,
+ const double beta,
+ double2* c, const int c_ld);
+
+// Rank-2K update of a symmetric matrix: SSYR2K/DSYR2K/CSYR2K/ZSYR2K/HSYR2K
+void PUBLIC_API cblas_ssyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const float alpha,
+ const float* a, const int a_ld,
+ const float* b, const int b_ld,
+ const float beta,
+ float* c, const int c_ld);
+void PUBLIC_API cblas_dsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const double alpha,
+ const double* a, const int a_ld,
+ const double* b, const int b_ld,
+ const double beta,
+ double* c, const int c_ld);
+void PUBLIC_API cblas_csyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* b, const int b_ld,
+ const void* beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* b, const int b_ld,
+ const void* beta,
+ double2* c, const int c_ld);
+void PUBLIC_API cblas_hsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const half* a, const int a_ld,
+ const half* b, const int b_ld,
+ const void* beta,
+ half* c, const int c_ld);
+
+// Rank-2K update of a hermitian matrix: CHER2K/ZHER2K
+void PUBLIC_API cblas_cher2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ const float2* b, const int b_ld,
+ const float beta,
+ float2* c, const int c_ld);
+void PUBLIC_API cblas_zher2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose,
+ const int n, const int k,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ const double2* b, const int b_ld,
+ const double beta,
+ double2* c, const int c_ld);
+
+// Triangular matrix-matrix multiplication: STRMM/DTRMM/CTRMM/ZTRMM/HTRMM
+void PUBLIC_API cblas_strmm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const float alpha,
+ const float* a, const int a_ld,
+ float* b, const int b_ld);
+void PUBLIC_API cblas_dtrmm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const double alpha,
+ const double* a, const int a_ld,
+ double* b, const int b_ld);
+void PUBLIC_API cblas_ctrmm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ float2* b, const int b_ld);
+void PUBLIC_API cblas_ztrmm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ double2* b, const int b_ld);
+void PUBLIC_API cblas_htrmm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const void* alpha,
+ const half* a, const int a_ld,
+ half* b, const int b_ld);
+
+// Solves a triangular system of equations: STRSM/DTRSM/CTRSM/ZTRSM/HTRSM
+void PUBLIC_API cblas_strsm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const float alpha,
+ const float* a, const int a_ld,
+ float* b, const int b_ld);
+void PUBLIC_API cblas_dtrsm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const double alpha,
+ const double* a, const int a_ld,
+ double* b, const int b_ld);
+void PUBLIC_API cblas_ctrsm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ float2* b, const int b_ld);
+void PUBLIC_API cblas_ztrsm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ double2* b, const int b_ld);
+void PUBLIC_API cblas_htrsm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal,
+ const int m, const int n,
+ const void* alpha,
+ const half* a, const int a_ld,
+ half* b, const int b_ld);
+
+// =================================================================================================
+// Extra non-BLAS routines (level-X)
+// =================================================================================================
+
+// Scaling and out-place transpose/copy (non-BLAS function): SOMATCOPY/DOMATCOPY/COMATCOPY/ZOMATCOPY/HOMATCOPY
+void PUBLIC_API cblas_somatcopy(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const float alpha,
+ const float* a, const int a_ld,
+ float* b, const int b_ld);
+void PUBLIC_API cblas_domatcopy(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const double alpha,
+ const double* a, const int a_ld,
+ double* b, const int b_ld);
+void PUBLIC_API cblas_comatcopy(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const void* alpha,
+ const float2* a, const int a_ld,
+ float2* b, const int b_ld);
+void PUBLIC_API cblas_zomatcopy(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const void* alpha,
+ const double2* a, const int a_ld,
+ double2* b, const int b_ld);
+void PUBLIC_API cblas_homatcopy(const Layout layout, const Transpose a_transpose,
+ const int m, const int n,
+ const void* alpha,
+ const half* a, const int a_ld,
+ half* b, const int b_ld);
+ half* b, const size_t b_offset, const size_t b_ld);
+
+// =================================================================================================
+
+#ifdef __cplusplus
+} // extern "C"
+#endif
+
+// CLBLAST_CLBLAST_BLAS_H_
+#endif