dgemm example fortran

Join your peers on the Internet's largest technical engineering professional community.It's easy to join and it's free. PROGRAM MAIN In the case of this exercise the leading dimension is the same as the number of rows. Optimizing Matrix Multiply (Summer 2002)--Due 6/25 IF(INCY>0)THEN document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); This site uses Akismet to reduce spam. 1) Simplest case two square complex matrices: A (N,N) and B (N,N) and I want to store ther result in C (N,N) the call to cgemm will be SUBROUTINE CGEMM ( TRANSA, TRANSB, N, N, N, ALPHA, A, LDA, B, LDA, BETA, C, LDC ) where LDA=LDB=LDC=N and TRANSA (B) can be an operation on the matrix A (B) 'N' = use the A matrix as it is OpenBLAS : An optimized BLAS library Y(IY)=ZERO for a basic account. rows. Connect and share knowledge within a single location that is structured and easy to search. Sign in here. 10CONTINUE nm -S libmwblas.lib | grep dgemm 0000000000000000 I __imp_dgemm 0000000000000000 T dgemm nm -S libdmumps.a | grep dgemm U dgemm_ Use dgemm to Multiply Matrices dgemm routine, which calculates the product of double precision matrices: The Are there tables of wastage rates for different fruit and veg? I have written a simple program: [code] program matrix implicit none double pre for non-Intel microprocessors for optimizations that are not unique to Intel The browser version you are using is not recommended for this site.Please consider upgrading to the latest version of your browser by clicking one of the following links. GEMM Algorithms Numerical Behavior 2.1.11. dgemm_example.exe on Windows* OS or Although oneMKL supports Fortran 90 and later, the exercises in this tutorial use FORTRAN 77 for compatibility with as many versions of Fortran as possible. ENDIF #TRANS-CHARACTER*1. #.. Please click the verification link in your email. For more complete information about compiler optimizations, see our Optimization Notice. [package - 130arm64-quarterly][biology/treekin] Failed for treekin-0.5.1_3 in build. Alternatively, you can use the supplied build scripts to build and run the executables. The dgemm routine can perform several calculations. # #Nmustbeatleastzero. PRINT *, "" KY=1-(LENY-1)*INCY You may re-send via your, Intel Connectivity Research Program (Private), oneAPI Registration, Download, Licensing and Installation, Intel Trusted Execution Technology (Intel TXT), Intel QuickAssist Technology (Intel QAT), Gaming on Intel Processors with Intel Graphics, https://software.intel.com/content/www/us/en/develop/articles/introducing-batch-gemm-operations.html. #INCY-INTEGER. * Form C := alpha*A*B + beta*C. * Form C := alpha*A**T*B + beta*C, * Form C := alpha*A*B**T + beta*C, * Form C := alpha*A**T*B**T + beta*C, Generated on Mon Nov 14 2022 13:13:17 for LAPACK by. #BeforeentrywithBETAnon-zero,theincrementedarrayY ENDIF " I cannot find the reference manual for Fortran. For each array argument, the Java version will include an integer offset parameter, so Contact seymour@cs.utk.eduwith any questions. #(1+(n-1)*abs(INCY))otherwise. Styling contours by colour and by line thickness in QGIS. Sorry, you must verify to complete this action. 120CONTINUE 40CONTINUE /Samples/en-US/mkl/tutorials.zip (Linux* OS/OS X*). #EndofDGEMV. PRINT *, "" Class Dgemm java.lang.Object org.netlib.blas.Dgemm public class Dgemm extends java.lang.Object Following is the description from the original Fortran source. profile. You should follow Intel's website to set the compiler flags for gfortran + MKL. For example, for the class which represents multiplication subroutines, there are attributes to de-termine which specific multiplication subroutine to be called, attributes to pass the multiplication coefficient, attributes to determine how to reorder the indices in the multiplication component quantities, etc. orpassword? #..IntrinsicFunctions.. If you require any additional assistance from Intel, please start a new thread. # PRINT 20, ((B(I,J),J = 1,MIN(N,6)), I = 1,MIN(K,6)) #max(1,m). Parameters: alphainput float ainput rank-2 array ('d') with bounds (lda,ka) binput rank-2 array ('d') with bounds (ldb,kb) Returns: crank-2 array ('d') with bounds (m,n) Other Parameters: betainput float, optional Default: 0.0 [Fortran]Multiplying Matrices Using dgemm - Fortran - Eng-Tips Dont have an Intel account? links: PTS, VCS area: non-free; in suites: bookworm, sid; size: 73,432 kB; sloc: ansic: 164,656; cpp: 16,273; perl: 6,471; pascal: 5,406 . TEMP=ALPHA*X(JX) DO40,I=1,LENY Can airtags be tracked from an iMac desktop, with no iPhone? A and Microprocessor-dependent optimizations in this product #Unchangedonexit. Learn more about bidirectional Unicode characters, Allocate (a(lda,n), vr(ldvr,n), wi(n), wr(n)). INFO=0 #Onentry,LDAspecifiesthefirstdimensionofAasdeclared // See our complete legal Notices and Disclaimers. sgemmscalapackdgemm-fortranlapackblas Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. #JeremyDuCroz,NagCentralOffice. GUID-36BFBCE9-EB0A-43B0-ADAF-2B65275726EA, Tutorial: Using the Intel oneAPI Math Kernel Library (oneMKL) for Matrix Multiplication, Introduction to the Intel oneAPI Math Kernel Library, Measuring Performance with oneMKL Support Functions, http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/, Intel oneAPI Math Kernel Library Knowledge Base, Click here for more Getting Started Tutorials. mentioned batch DGEMM with an example in C. It mentioned " It has Fortran 77 and Fortran 95 APIs, and also CBLAS bindings. This ebook covers tips for creating and managing workflows, security best practices and protection of intellectual property, Cloud vs. on-premise software solutions, CAD file management, compliance, and more. // No product or component can be absolutely secure. Y(I)=Y(I)+TEMP*A(I,J) The most widely used is the lapack - How do I use ScaLapack/PBLAS for Matrix-Vector Multiplication in this case because all the matrices are squared all the indexes remain the same. In this case: Character indicating that the matrices C(I,J) = 0.0 mkl [here] ifort -mkl dgemm_example.f ./ a.outlibmkl_intel_lp64.so Asking for help, clarification, or responding to other answers. cran.microsoft.com What is the point of Thrower's Bandolier? By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. I would like to multiply two arrays in Fortran using DGEMM (BLAS procedure). Find centralized, trusted content and collaborate around the technologies you use most. Save my name, email, and website in this browser for the next time I comment. Transfer results from the device to the host. This call to the T = transpose op(A) = AT Registration on or use of this site constitutes acceptance of our Privacy Policy. Procceeding to close the question. Why is this sentence from The Great Gatsby grammatical? #.. We have received your request and will respond promptly. END DO TeaLeaf has been ported to use many parallel programming models, including OpenMP, CUDA and MPI among others. Click here for more Getting Started Tutorials, Tutorial: Using the Intel Math Kernel Library for Matrix Multiplication, Introduction to the Intel Math Kernel Library Introduction to the Intel Math Kernel Library, Multiplying Matrices Using dgemm Multiplying Matrices Using dgemm, Measuring Performance with Intel MKL Support Functions Measuring Performance with Intel MKL Support Functions, https://software.intel.com/en-us/product-code-samples, https://software.intel.com/en-us/articles/intel-math-kernel-library-intel-mkl-2019-getting-started, http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/. Thank you for helping keep Eng-Tips Forums free from inappropriate posts.The Eng-Tips staff will check this out and take appropriate action. By joining you are opting in to receive e-mail. // Your costs and results may vary. #(1+(m-1)*abs(INCY))whenTRANS='N'or'n' SGEMM, DGEMM, CGEMM, and ZGEMM (Combined Matrix Multiplication and Addition for General Matrices, Their Transposes, or Conjugate Transposes) Edit online Purpose SGEMM and DGEMM can perform any one of the following combined matrix computations, using scalars and , matrices Aand Bor their transposes, and matrix C: Call LAPACK and BLAS Functions - MATLAB & Simulink - MathWorks #Unchangedonexit. Observation: As opposed to sample 1, the compiler must be explicitly instructed that the function dgemm_ has C linkage and thus no mangling should be attempted. dgemm routine can perform several calculations. If you sign in, click, Sorry, you must verify to complete this action. You can call LAPACK and BLAS functions from Fortran MEX files. *Eng-Tips's functionality depends on members receiving e-mail. columns (for column major storage) in memory. Required fields are marked *. The complete details of capabilities of the dgemm routine and all of its arguments can be found in the ?gemm topic in the Intel Math Kernel Library Reference Manual. RETURN It's surprising that your code compiled ran at all. IF(INCX>0)THEN ENDIF #.. Y(IY)=BETA*Y(IY) You can also try the quick links below to see results for most popular searches. Ask questions and share information with other developers who use Intel Math Kernel Library. IF(BETA!=ONE)THEN rev2023.3.3.43278. for a basic account. # http://matrixprogramming.com/2008/01/matrixmultiply#Fortran. This exercise demonstrates declaring variables, storing matrix values in the arrays, and calling A Fast Parallel Cholesky Decomposition Algorithm for Tridiagonal ArrayArguments.. Dgemm - University of Tennessee Using the cuBLAS API 2.1. Is there any example for Fortran about batch DGEMM? Fortran In the case of this exercise the leading dimension is the same as the number of . Y(JY)=Y(JY)+ALPHA*TEMP ?gemm topic in the gcc - SOLVED - Is there a limit to subroutine arguments in FORTRAN II Your email address will not be published. Do you work for Intel? DO10,I=1,LENY #Unchangedonexit. Intel's compilers may or may not optimize to the same degree The arrays are used to store these matrices: The one-dimensional arrays in the exercises store the matrices by placing the elements of each column in successive cells of the arrays. We selected an optimal algorithm from the instruction set perspective as well software tools optimized for Intel Advance Vector Extensions (AVX). JY=JY+INCY Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework. DOUBLEPRECISIONONE,ZERO https://gcc.gnu.org/ml/gcc-patches/2016-08/msg00976.html . Using the Intel Math Kernel Library 11.3 for Matrix Multiplication Tutorial. $RETURN #Testtheinputparameters. Effective Implementation of DGEMM on Modern Multicore CPU WikiZero zgr Ansiklopedi - Wikipedia Okumann En Kolay Yolu CALL DGEMM('N','N',M,N,K,ALPHA,A,M,B,K,BETA,C,M) Understanding BLAS dgemm in C | Physics Forums Integers indicating the size of the matrices: Real value used to scale the product of matrices A and B. Intrinsic matmul vs. LAPACK - Google Groups GUID: #DGEMVperformsoneofthematrix-vectoroperations A simple guide to s/d/c/z-gemm in Fortran 50CONTINUE #SvenHammarling,NagCentralOffice. ENDIF Intel Math Kernel Library Reference Manual. The browser version you are using is not recommended for this site.Please consider upgrading to the latest version of your browser by clicking one of the following links. Go to: [ bottom of page] [ top of archives] [ this month] From: <pkg-fallout_at_FreeBSD.org> Date: Sun, 31 Oct 2021 06:48:50 UTC Sun, 31 Oct 2021 06:48:50 UTC Metal 3D printing has rapidly emerged as a key technology in modern design and manufacturing, so its critical educational institutions include it in their curricula to avoid leaving students at a disadvantage as they enter the workforce. #containthematrixofcoefficients. dgemm routine. # [Fortran]Multiplying Matrices Using dgemm, Low-Volume Rapid Injection Molding With 3D Printed Molds, Industry Perspective: Education and Metal 3D Printing. PARAMETER(ONE=1.0D+0,ZERO=0.0D+0) Leading dimension of array C, or the number of elements between successive columns (for column major storage) in memory. ELSEIF(N<0)THEN Y(JY)=Y(JY)+ALPHA*TEMP LAPACK: BLAS/SRC/dgemm.f Source File - netlib.org Intel MKL provides several routines for multiplying matrices. Why are physically impossible and logically impossible concepts considered separate in terms of probability? rows. $! Not the answer you're looking for? #(1+(m-1)*abs(INCX))otherwise. # 90CONTINUE InthisversiontheelementsofAare This assumes that you have installed Intel MKL and set environment variables as described in INFO=8 LSAME(TRANS,'C'))THEN Perhaps I don't need "CblasRowMajor". # For example, you can perform this operation with the transpose or conjugate transpose of A and B. RETURN #vectorx. Sample Fortran code for dgemm JIT API - Intel Communities Intel oneAPI Math Kernel Library Intel Communities Developer Software Forums Toolkits & SDKs Intel oneAPI Math Kernel Library 6678 Discussions Sample Fortran code for dgemm JIT API Subscribe Wasif__Syed Beginner 07-06-2020 05:39 AM 348 Views ELSE The arguments provide options for how Intel MKL performs the operation. JX=KX communities including Stack Overflow, the largest, most trusted online community for developers learn, share their knowledge, and build their careers. Basic Linear Algebra Subprograms - Wikipedia Here are my example matrices: [itex]A = \begin{bmatrix}1 &1 &1 &1 \\ 1 &1 &1 &1 \\ 1 &1 &1 &1 \\ 1 &1 &1 &1 \end{bmatrix} . Based on the test case posted here. http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/. // Performance varies by use, configuration and other factors. Copyright 1998-2023 engineering.com, Inc. All rights reserved.Unauthorized reproduction or linking forbidden without expressed written permission. This exercise demonstrates declaring variables, storing matrix values in the arrays, and calling dgemm to compute the product of the matrices. After compiling and linking, execute the resulting executable file, named # # Because BLAS is written in Fortran . Intels products and software are intended only to be used in applications that do not cause or contribute to a violation of an internationally recognized human right. ELSE C. Leading dimension of array LAPACK routines have to be imported individually using the R News CHANGES IN R 3.4.1 INSTALLATION on a UNIX-ALIKE. #Starttheoperations. GitHub - colleeneb/openmp_offload_and_blas: Examples of using OpenMP END DO Why are Suriname, Belize, and Guinea-Bissau classified as "Small Island Developing States"? Correct ld link PROVIDE syntax for translating symbol names Intel technologies may require enabled hardware, software or service activation. Please click the verification link in your email. The one-dimensional arrays in the exercises store the matrices by placing the elements of each column in successive cells of the arrays. Wikizero - FLOPS GW renormalization of the electron-phonon coupling. IMPLICIT NONE vienna-rna 2.5.1%2Bdfsg-1. #mustcontainthevectory. Still, it is a functional example of using one of the available CUDA runtime libraries. of California Berkeley, Univ. DOUBLEPRECISIONA(LDA,*),X(*),Y(*) Results Reproducibility 2.1.5. END, This exercise illustrates how to call the, CALL DGEMM('N','N',M,N,K,ALPHA,A,M,B,K,BETA,C,M). TEMP=ALPHA*X(JX) I saw https://software.intel.com/content/www/us/en/develop/articles/introducing-batch-gemm-operations.html, mentioned batch DGEMM with an example in C. It mentioned, " It has Fortran 77 and Fortran 95 APIs, and also CBLAS bindings. #Onentry,INCYspecifiestheincrementfortheelementsof Examples - Compiling, linking, and running a simple matrix IF(LSAME(TRANS,'N'))THEN The above code works. How to prove that the supernatural or paranormal doesn't exist? [package - 130arm64-quarterly][biology/treekin] Failed for treekin-0.5. columns (for column major storage) in memory. Please refer to the applicable product User and Reference Guides for more Real value used to scale matrix Is it plausible for constructed languages to be used to affect thought and control or mold people towards desired outcomes? Onexit,Yisoverwrittenbythe After you unzip the The following example takes two matrices and multiplies them by calling the BLAS routine dgemm. [package - 130amd64-quarterly][biology/treekin] Failed for treekin-0.5.1_3 in build. #TRANS='C'or'c'y:=alpha*A'*x+beta*y. IF(INCY==1)THEN A(I,J) = (I-1) * K + J cuBLAS - NVIDIA Developer So I decided to write a simple guide to c/z-gemm in fortran. Sometimes it is confusing knowing what is a low-level BLAS. DO90,I=1,M INFO=2 196, 220 and 221 and so will pblasc example will fail if run with Intel MPI 2019. #Level2Blasroutine. Parameters Author Univ. For example, you can perform this operation with the transpose or conjugate transpose of INFO=3 A First CUDA Fortran Program Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. DO J = 1, K An actual application would make use of the result of the matrix multiplication. # #suppliedaszerothenYneednotbesetoninput. #JackDongarra,ArgonneNationalLab. I have linked my code with the library "cublas.lib" but I still obtain this : ". # # SUBROUTINEDGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX, Thanks for your help! . The deprecated support for PCRE versions older than 8.20 has been removed. Although Intel MKL supports Fortran 90 and later, the exercises in this tutorial use FORTRAN 77 for compatibility with as many versions of Fortran as possible. rows. I have the following Fortran code from https://software.intel.com/content/www/us/en/develop/documentation/mkl-tutorial-fortran/top/multiplying-matrices-using-dgemm.html, I am trying to use gfortran complile it (named as dgemm.f90), By gfortran -lblas -llapack dgemm.f90, I got, I searched that this type of question has been asked time to time, but I haven't found a solution for my case :(, I tried to use python load blas, based on https://software.intel.com/content/www/us/en/develop/articles/using-intel-mkl-in-your-python-programs.html. Scalar Parameters 2.1.6. OpenBLAS is an optimized BLAS library based on GotoBLAS2 1.13 BSD version. As this issue has been resolved, we will no longer respond to this thread. Namespace - Wikipedia ENDIF Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. ". # LAPACK | Programming in Modern Fortran - DABAMOS.de The Intel sign-in experience has changed to support enhanced security controls. ALPHA = 1.0 In the LAPACK library, matrix factorization functions are implemented with blocked factorization algorithm, shifting . # https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/onemkl/link-line-advisor.html. of Tennessee, --, * -- Univ. information regarding the specific instruction sets covered by this notice. LSAME(TRANS,'T')&& ELSEIF(LDAdgemm example fortran - CDL Technical Motorcycle Driving School INFO=6 Regarding your first comment, gfortran compiles most of the classic Fortran instructions (usually throws a warning that some stuff has been removed in modern versions, but it compiles). Keeping this sequence of operations in mind, let's look at a CUDA Fortran example. #BETA-DOUBLEPRECISION. In the case of this exercise the leading dimension is the same as the number of Is there any example for Fortran about batch DGEMM? Sample Fortran code for dgemm JIT API - Intel Communities ELSE In the case of this exercise the leading dimension is the same as the number of rows. Leading dimension of array A, or the number of elements between successive columns (for column major storage) in memory. #Onentry,BETAspecifiesthescalarbeta. For the executables in this tutorial, the build scripts are named: This assumes that you have installed oneMKL and set environment variables as described in . I cannot find the reference manual for Fortran. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, undefined reference to `dgemm_' in gfortran in windows subsystem ubuntu, https://software.intel.com/content/www/us/en/develop/documentation/mkl-tutorial-fortran/top/multiplying-matrices-using-dgemm.html, https://software.intel.com/content/www/us/en/develop/articles/using-intel-mkl-in-your-python-programs.html, How Intuit democratizes AI development across teams through reusability. # # Parameters # ===== # dgemm routine and all of its arguments can be found in the ELSE Cache Configuration 2.1.9. * * Purpose * ======= * 145 *> C is DOUBLE PRECISION array, dimension ( LDC, N ) 146 *> Before entry, the leading m by n part of the array C must. # Sign up here You may re-send via your, Intel Connectivity Research Program (Private), oneAPI Registration, Download, Licensing and Installation, Intel Trusted Execution Technology (Intel TXT), Intel QuickAssist Technology (Intel QAT), Gaming on Intel Processors with Intel Graphics. The nature of simulating nature: A Q&A with IBM Quantum researcher Dr. Jamie We've added a "Necessary cookies only" option to the cookie consent popup. $RETURN #Unchangedonexit. Ask questions and share information with other developers who use Intel Math Kernel Library. ELSE ENDIF Static Library Support 2.1.10. SGEMM, DGEMM, CGEMM, and ZGEMM - IBM - United States Oct 26, 2011 #4 KStolen. In the case of this exercise the leading dimension is the same as the number of IF(INFO!=0)THEN Source module last modified on Thu, 2 Jul 1998, 23:17; 1) Simplest case two square complex matrices: A(N,N) and B(N,N) #andatleast Processor: Ampere Altra ARMv8 Neoverse-N1 @ 3.30GHz (160 Cores), Motherboard: WIWYNN Mt.Jade (1.1.20201019 BIOS), Chipset: Ampere Computing LLC Device e100, Memor #Onentry,MspecifiesthenumberofrowsofthematrixA. PRINT 20, ((A(I,J), J = 1,MIN(K,6)), I = 1,MIN(M,6)) Example C and Fortran code showing how to offload blas calls from OpenMP regions, using cuBLAS, NVBLAS, and MKL. You may re-send via your # dgemm example fortran licking county mayor - nammakarkhane.com Are you sure you want to create this branch? #--Writtenon22-October-1986. #X-DOUBLEPRECISIONarrayofDIMENSIONatleast END DO #wherealphaandbetaarescalars,xandyarevectorsandAisan DO I = 1, M 2) Now a more complex case A(N,M), B(M,N) and C(N,N) with M=5 and N=3 as in the figure, we can also multiply B for A and get a 55 matrix as result. DO80,J=1,N Examine how the principles of DfAM upend many of the long-standing rules around manufacturability - allowing engineers and designers to place a parts function at the center of their design considerations. 30 FORMAT(6(ES12.4,1x)) PRINT *, "Initializing data for matrix multiplication C=A*B for " PRINT 30, ((C(I,J), J = 1,MIN(N,6)), I = 1,MIN(M,6)) // Intel is committed to respecting human rights and avoiding complicity in human rights abuses. TEMP=ZERO # Intel MKL provides several routines for multiplying matrices. ELSEIF(M<0)THEN sets and other optimizations. To review, open the file in an editor that reveals hidden Unicode characters. INTRINSICMAX We strive to provide binary packages for the following platform.. Windows x86/x86_64 (hosted on sourceforge.net; if required the mingw runtime dependencies can be found in the 0.2.12 folder there) 2023-02-26-0032 Benchmarks - OpenBenchmarking.org manufactured by Intel. 20CONTINUE . ExternalFunctions.. Fortran source code is found in dgemm_example.f PROGRAM MAIN IMPLICIT NONE DOUBLE PRECISION ALPHA, BETA INTEGER M, K, N, I, J PARAMETER (M=2000, K=200, N=1000) DOUBLE PRECISION A (M,K), B (K,N), C (M,N) PRINT *, "This example computes real matrix C=alpha*A*B+beta*C" PRINT *, "using Intel (R) MKL function dgemm, where A, B, and C" PRINT *, "are Done. DOUBLE PRECISION A(M,K), B(K,N), C(M,N) ENDIF #andatleast BUG FIXES. # DO60,J=1,N Forgot your Intelusername # There are three directories: cublas nvblas mkl These contain Makefiles and examples of calling DGEMM from an OpenMP offload region with cuBLAS, NVBLAS, and MKL. #mbynmatrix. IY=KY Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. a sample Makefile, with some useful compiler options, basic_dgemm.c a very simple square_dgemm implementation, blocked_dgemm.c a slightly more complex square_dgemm implementation basic_fdgemm.f a very simple Fortran square_dgemm implementation, f2c_dgemm.c a wrapper that lets the C driver program call the Fortran implementation, This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead. Multiplying Matrices Using dgemm - Intel DO120,J=1,N #Onentry,TRANSspecifiestheoperationtobeperformedas Intel technologies may require enabled hardware, software or service activation. ELSE KY=1 Thanks. That's right Mark. TEMP=ZERO JX=JX+INCX test-suite-opencl-001. Forgot your Intelusername ENDIF Batching Kernels 2.1.8. IY=IY+INCY #Parameters PRINT *, "scalars" Here is the call graph for this function: * -- Reference BLAS is a software package provided by Univ. Spark LDA Scala API doc XXXXX term XXXXX 1 x 'a' x 1 x 'a' x 1 x 'b' x 2 x 'b' x 2 x 'd' x . Bulk update symbol size units from mm to map units in rule-based symbology, Replacing broken pins/legs on a DIP IC package, Recovering from a blunder I made while emailing a professor. OpenMP application experiences: Porting to accelerated nodes

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