dgemm example fortran

In the LAPACK library, matrix factorization functions are implemented with blocked factorization algorithm, shifting . #..Parameters.. It is available in Intel MKL 11.3 Beta and later releases. oneMKL provides several routines for multiplying matrices. Correct ld link PROVIDE syntax for translating symbol names 70CONTINUE a.out on Linux* OS and OS X*. Source module last modified on Thu, 2 Jul 1998, 23:17; Ask questions and share information with other developers who use Intel Math Kernel Library. A First CUDA Fortran Program mkl [here] ifort -mkl dgemm_example.f ./ a.outlibmkl_intel_lp64.so PDF Aurora Early Adopters Series Overview of the Intel oneAPIMath Kernel END DO In the case of this exercise the leading dimension is the same as the number of rows. WikiZero zgr Ansiklopedi - Wikipedia Okumann En Kolay Yolu Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations such as vector addition, scalar multiplication, dot products, linear combinations, and matrix multiplication.They are the de facto standard low-level routines for linear algebra libraries; the routines have bindings for both C ("CBLAS interface . DO30,I=1,LENY PRINT *, "Example completed." Sorry, you must verify to complete this action. 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. 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. To learn more, see our tips on writing great answers. IF(X(JX)!=ZERO)THEN 60CONTINUE scipy.linalg.blas.dgemm SciPy v1.10.1 Manual Please click the verification link in your email. #INCY-INTEGER. We have received your request and will respond promptly. INTRINSICMAX # * * Purpose * ======= * Dgemm - University of Tennessee INFO=0 getParseData() gave incorrect column By signing in, you agree to our Terms of Service. # # Example C and Fortran code showing how to offload blas calls from OpenMP regions, using cuBLAS, NVBLAS, and MKL. ELSE PRINT *, "" Please click the verification link in your email. IF((M==0)||(N==0)|| This exercise illustrates how to call the dgemm routine. # Promoting, selling, recruiting, coursework and thesis posting is forbidden. 80CONTINUE # cblas_dgemm is a BLAS function that gives C. . https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/onemkl/link-line-advisor.html. dgemm routine. ArrayArguments.. The Fortran source code for this tutorial is shown below. Intel does not guarantee the availability, PRINT *, "Computations completed." #include "fintrf.h" subroutine mexFunction (nlhs, plhs, nrhs, prhs) mwPointer plhs (*), prhs (*) integer . DO90,I=1,M Click Here to join Eng-Tips and talk with other members! 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 for a basic account. #.. Y(IY)=Y(IY)+TEMP*A(I,J) $BETA,Y,INCY) #Unchangedonexit. PRINT *, "using Intel(R) MKL function dgemm, where A, B, and C" In the case of this exercise the leading dimension is the same as the number of rows. #(1+(n-1)*abs(INCY))otherwise. DO I = 1, M IF(LSAME(TRANS,'N'))THEN Initialize host data. In this case: Integers indicating the size of the matrices: Real value used to scale the product of matrices, Intel MKL provides many options for creating code for multiple processors and operating systems, compatible with different compilers and third-party libraries, and with different interfaces. The Intel sign-in experience has changed to support enhanced security controls. Thanks. // Performance varies by use, configuration and other factors. Sample 2 This program contains a C++ invocation of the Fortran BLAS function dgemm_ provided by the ATLAS framework. #..ScalarArguments.. dgemm example fortran licking county mayor - nammakarkhane.com // No product or component can be absolutely secure. 90CONTINUE By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Basic Linear Algebra Subprograms - Wikipedia #Purpose Learn methods and guidelines for using stereolithography (SLA) 3D printed molds in the injection molding process to lower costs and lead time. 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. END, This exercise illustrates how to call the, CALL DGEMM('N','N',M,N,K,ALPHA,A,M,B,K,BETA,C,M). In the case of this exercise the leading dimension is the same as the number of rows. #Formy:=alpha*A'*x+y. If you sign in, click, Sorry, you must verify to complete this action. CUDA Examples - UFRC - University of Florida The complete details of capabilities of the dgemm routine and all of its arguments can be found in the ?gemm topic in the Intel oneAPI Math Kernel Library Developer Reference. #mbynmatrix. END DO #Unchangedonexit. # ENDIF Sign up here ENDIF mkl_mmx_c directory. #Parameters TEMP=ZERO # IF(INCX>0)THEN Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework. PRINT *, "" Leading dimension of array 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. Thank you for helping keep Eng-Tips Forums free from inappropriate posts.The Eng-Tips staff will check this out and take appropriate action. 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. cuBLAS - NVIDIA Developer Visit Stack Exchange Tour Start here for quick overview the site Help Center Detailed answers. RETURN INFO=6 After compiling and linking, execute the resulting executable file, named dgemm_example.exe on Windows* OS or a.out on Linux* OS and macOS*. 145 *> C is DOUBLE PRECISION array, dimension ( LDC, N ) 146 *> Before entry, the leading m by n part of the array C must. Sample Fortran code for dgemm JIT API - Intel Communities For example, the Hollerith Constants were not a thing in Fortran 90+, but gfortran compiles them just fine. #Unchangedonexit. This exercise demonstrates declaring variables, storing matrix values in the arrays, and calling dgemm to compute the product of the matrices. ENDIF #Unchangedonexit. ENDIF SGEMM, DGEMM, CGEMM, and ZGEMM - IBM - United States Your email address will not be published. GEMM Algorithms Numerical Behavior 2.1.11. # # Parameters # ===== # * Fortran source code is found in dgemm_example.f Leading dimension of array A, or the number of elements between successive columns (for column major storage) in memory. profile. You can also try the quick links below to see results for most popular searches. You should follow Intel's website to set the compiler flags for gfortran + MKL. # IF(BETA==ZERO)THEN PRINT *, "subroutine" LDAmustbeatleast 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. R News CHANGES IN R 3.4.1 INSTALLATION on a UNIX-ALIKE. Refer to the reference manual for additional documentation. Short story taking place on a toroidal planet or moon involving flying. A tag already exists with the provided branch name. 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. IF(LSAME(TRANS,'N'))THEN Thank you for spending some time to describe all of this out for folks. #Testtheinputparameters. Close this window and log in. 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 . blas - undefined reference to `dgemm_' in gfortran in windows subsystem IX=KX gcc - SOLVED - Is there a limit to subroutine arguments in FORTRAN II Thanks for your help! Asking for help, clarification, or responding to other answers. What is the purpose of this D-shaped ring at the base of the tongue on my hiking boots? LAPACK routines have to be imported individually using the dgemm example fortran - CDL Technical Motorcycle Driving School // Performance varies by use, configuration and other factors. #RichardHanson,SandiaNationalLabs. PRINT *, "Top left corner of matrix C:" Leading dimension of array B, or the number of elements between successive columns (for column major storage) in memory. I have linked my code with the library "cublas.lib" but I still obtain this : ". ENDIF #Onentry,LDAspecifiesthefirstdimensionofAasdeclared #accessedsequentiallywithonepassthroughA. #andatleast An actual application would make use of the result of the matrix multiplication. You may re-send via your dgemm to compute the product of the matrices. #upthestartpointsinXandY. Understanding BLAS dgemm in C | Physics Forums #Unchangedonexit. orpassword? END. GEMM with oneMKLFortran OpenMP Offload Use target data mapto send matrices to the device Use target variant dispatchto request GPU execution for dgemm List mapped device pointers in the use_device_ptrclause Optional nowaitclause for asynchronous execution Use !$omptaskwaitfor synchronization Module for Fortran OpenMP offload 11 SUBROUTINEDGEMV(TRANS,M,N,ALPHA,A,LDA,X,INCX, IF(! A and Please refer to the applicable product User and Reference Guides for more Parameters Author Univ. A simple guide to s/d/c/z-gemm in Fortran 1) Simplest case two square complex matrices: A(N,N) and B(N,N) Ask questions and share information with other developers who use Intel Math Kernel Library. ELSE Sign in here. LSAME(TRANS,'T')&& Cache Configuration 2.1.9. The example program solves the following system of linear equations with LAPACK: The LAPACK subroutine sgesv()computes the solution to a real system of linear equations AX = B, where Ais an n-by-nmatrix, and Xand Bare n-by-nrhsmatrices. Leading dimension of array WordPress_Wordpress_Subdomain - IF(INCY==1)THEN Integers indicating the size of the matrices: Real value used to scale the product of matrices A and B. [package - 130amd64-quarterly][biology/treekin] Failed for treekin-0.5.1_3 in build. Your email address will not be published. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. END DO Test-suite-opencl-001 Benchmarks - OpenBenchmarking.org * * The underscore at the end of the routine name is there so that the routine* * may be called as an integer valued FORTRAN function name RESUSE(), under * * both the SunOS and Ultrix f77 compilers. Cannot retrieve contributors at this time. In the case of this exercise the leading dimension is the same as the number of IF(INFO!=0)THEN #.. dgemm.f - SourceForge DOUBLEPRECISIONONE,ZERO #Level2Blasroutine. IY=IY+INCY #y:=alpha*A*x+beta*y,ory:=alpha*A'*x+beta*y, Learn how your comment data is processed. IF(BETA==ZERO)THEN #vectorx. For more complete information about compiler optimizations, see our Optimization Notice. PRINT *, "" Did you find the information on this page useful? Using BLAS and LAPACK from C/C++ - LIMARE After compiling and linking, execute the resulting executable file, named # Connect and share knowledge within a single location that is structured and easy to search. LAPACK | Programming in Modern Fortran - DABAMOS.de #Quickreturnifpossible. test-suite-opencl-001. 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). In this paper, we investigate different implementations of TeaLeaf, a mini-application from the Mantevo suite that solves the linear heat conduction equation. #JeremyDuCroz,NagCentralOffice. 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. PRINT *, "" IF(INCY>0)THEN orpassword? RETURN We selected an optimal algorithm from the instruction set perspective as well software tools optimized for Intel Advance Vector Extensions (AVX). Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice. DO J = 1, K #..IntrinsicFunctions.. #Starttheoperations. Otherwise your will be linking with something else. That's right Mark. PRINT *, "Initializing data for matrix multiplication C=A*B for " 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 Effective Implementation of DGEMM on Modern Multicore CPU Find centralized, trusted content and collaborate around the technologies you use most. scipy.linalg.blas.dgemm(alpha, a, b[, beta, c, trans_a, trans_b, overwrite_c]) = <fortran object> # Wrapper for dgemm. To compile and link the exercises in this tutorial with Intel Parallel Studio XE Composer Edition, type. DO I = 1, M IY=IY+INCY This exercise demonstrates declaring variables, storing matrix values in the arrays, and calling How to prove that the supernatural or paranormal doesn't exist? Since I do not use so often BLAS library for matrix-matrix multiplication, when I have to multiply two matrices with some rectangular shape or with additional operation I always get confused. DO10,I=1,LENY cran.microsoft.com Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site Solved: Batch DGEMM Fortran example? - Intel Communities dgemm to compute the product of the matrices. DOUBLE PRECISION ALPHA, BETA Transfer data from the host to the device. 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. For each array argument, the Java version will include an integer offset parameter, so Contact seymour@cs.utk.eduwith any questions. The reference Fortran code for BLAS and LAPACK defines de facto a Fortran API, implemented by multiple vendors with code tuned to get the best performance on a given hardware. 20 FORMAT(6(F12.0,1x)) DO50,I=1,M 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, PRINT *, "This example computes real matrix C=alpha*A*B+beta*C" ELSE INFO=8 Results Reproducibility 2.1.5. Not the answer you're looking for? 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. http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/. See Intels Global Human Rights Principles. #.. ELSE Performance varies by use, configuration and other factors. // No product or component can be absolutely secure. #TRANS='C'or'c'y:=alpha*A'*x+beta*y. [package - 130arm64-quarterly][biology/treekin] Failed for treekin-0.5. 10 FORMAT(a,I5,a,I5,a,I5,a,I5,a) Y(I)=ZERO # Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. For example, you can perform this operation with the transpose or conjugate transpose of A and B. 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} . 2.1Examples 2.2Delegation 2.3Hierarchy 2.4Namespace versus scope 3In programming languages 3.1Computer-science considerations 3.1.1Use in common languages 3.1.1.1C 3.1.1.2C++ 3.1.1.3Java 3.1.1.4C# 3.1.1.5Python 3.1.1.6XML namespace 3.1.1.7PHP 3.2Emulating namespaces 4See also 5References Toggle the table of contents Namespace 32 languages // Intel is committed to respecting human rights and avoiding complicity in human rights abuses. // See our complete legal Notices and Disclaimers. #Onentry,NspecifiesthenumberofcolumnsofthematrixA. ELSE After extracting the folder you can find the example of dgemm_batch in blas/source folder. // Your costs and results may vary. ENDIF 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. 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. ENDIF Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. TEMP=ALPHA*X(JX) #========== #wherealphaandbetaarescalars,xandyarevectorsandAisan DO I = 1, K #Unchangedonexit. #TRANS='N'or'n'y:=alpha*A*x+beta*y. For other compilers, use the oneMKL Link Line Advisor to generate a command line to compile and link the exercises in this tutorial: http://software.intel.com/en-us/articles/intel-mkl-link-line-advisor/. 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. rev2023.3.3.43278. Use dgemm to Multiply Matrices TeaLeaf has been ported to use many parallel programming models, including OpenMP, CUDA and MPI among others. END DO #andatleast https://gcc.gnu.org/ml/gcc-patches/2016-08/msg00976.html profile. # This assumes that you have installed Intel MKL and set environment variables as described in If you require any additional assistance from Intel, please start a new thread. DOUBLEPRECISIONALPHA,BETA # Dont have an Intel account? You can easily search the entire Intel.com site in several ways. INFO=2 IF(X(JX)!=ZERO)THEN This call to the dgemm routine multiplies the matrices: The arguments provide options for how oneMKL performs the operation. communities including Stack Overflow, the largest, most trusted online community for developers learn, share their knowledge, and build their careers. Certain optimizations not ExternalSubroutines.. IF(BETA!=ONE)THEN Using the cuBLAS API 2.1. 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. http://matrixprogramming.com/2008/01/matrixmultiply#Fortran. 30 FORMAT(6(ES12.4,1x)) Do you work for Intel? Why is this sentence from The Great Gatsby grammatical? 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 #TRANS='T'or't'y:=alpha*A'*x+beta*y. #DGEMVperformsoneofthematrix-vectoroperations " I cannot find the reference manual for Fortran. [Fortran]Multiplying Matrices Using dgemm - Fortran - Eng-Tips #X-DOUBLEPRECISIONarrayofDIMENSIONatleast You may re-send via your InthisversiontheelementsofAare # Join your peers on the Internet's largest technical engineering professional community.It's easy to join and it's free. For other compilers, use the Intel MKL Link Line Advisor to generate a command line to compile and link the exercises in this tutorial: After compiling and linking, execute the resulting executable file, named. TEMP=ALPHA*X(JX) In the case of this exercise the leading dimension is the same as the number of Can anyone post a sample FORTRAN code for dgemm JIT API like this one posted for C: https://software.intel.com/content/www/us/en/develop/articles/intel-math-kernel-library-improved-sma you may find out such examples ( e.x -mkl_jit_create_cgemmx.f90 ) into mklroot/example folder. Learn more about bidirectional Unicode characters, Allocate (a(lda,n), vr(ldvr,n), wi(n), wr(n)). $! 1>Compiling with Intel Fortran Compiler 10.1.011 [IA-32]. # The Intel sign-in experience has changed to support enhanced security controls. Performance varies by use, configuration and other factors. Real value used to scale matrix rows. TEMP=TEMP+A(I,J)*X(I) Note: The NVBLAS Makefile is hard-coded for Summit. dgemm routine can perform several calculations. If you sign in, click, Sorry, you must verify to complete this action. # LSAME(TRANS,'C'))THEN Already a Member? To compile and link the exercises in this tutorial with Intel Parallel Studio XE Composer Edition, type. 110CONTINUE # JX=KX General Description 2.1.1. OpenACC with DGEMM call error in gfortran - NVIDIA Developer Forums DO60,J=1,N #Unchangedonexit. aaaltra - openbenchmarking.org #======= GitHub - colleeneb/openmp_offload_and_blas: Examples of using OpenMP INTEGERINCX,INCY,LDA,M,N I have written a simple program: [code] program matrix implicit none double pre ?gemm topic in the Go to: [ bottom of page] [ top of archives] [ this month] From: <pkg-fallout_at_FreeBSD.org> Date: Thu, 28 Oct 2021 01:49:10 UTC Thu, 28 Oct 2021 01:49:10 UTC Intel MKL provides several routines for multiplying matrices. These optimizations include SSE2, SSE3, and SSSE3 instruction KY=1-(LENY-1)*INCY Fortran does things differently, storing elements of a matrix in column-major order. manufactured by Intel. PRINT *, "" 14 0. ELSE 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. Still, it is a functional example of using one of the available CUDA runtime libraries. The Fortran source code for the exercises in this tutorial . 147 *> contain the matrix C, except when beta is zero, in which. 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. ELSEIF(N<0)THEN # Using the Intel Math Kernel Library 11.3 for Matrix Multiplication Tutorial. Error Status 2.1.2. cuBLAS Context 2.1.3. Leading dimension of array C, or the number of elements between successive columns (for column major storage) in memory. Y(IY)=BETA*Y(IY) Learn more at www.Intel.com/PerformanceIndex. CALLXERBLA('DGEMV',INFO) Sorry, you must verify to complete this action. LENY=N Are you sure you want to create this branch? GUID-36BFBCE9-EB0A-43B0-ADAF-2B65275726EA. GW renormalization of the electron-phonon coupling. #inthecalling(sub)program. So I decided to write a simple guide to c/z-gemm in fortran. For example, DGEMM computes general matrix-matrix products, while DSYMM computes symmetric times general matrix-matrix product. functionality, or effectiveness of any optimization on microprocessors not ENDIF DO70,I=1,M Is it plausible for constructed languages to be used to affect thought and control or mold people towards desired outcomes? of Tennessee, --, * -- Univ. #SetLENXandLENY,thelengthsofthevectorsxandy,andset 20CONTINUE #Beforeentry,theleadingmbynpartofthearrayAmust #A-DOUBLEPRECISIONarrayofDIMENSION(LDA,n). LAPACK: BLAS/SRC/dgemm.f Source File - netlib.org KX=1 Registration on or use of this site constitutes acceptance of our Privacy Policy. For the executables in this tutorial, the build scripts are named: This assumes that you have installed Intel MKL and set environment variables as described in. INFO=1 B, or the number of elements between successive ENDIF #Onentry,INCYspecifiestheincrementfortheelementsof The Fortran source code for the exercises in this tutorial is found in A and An actual application would make use of the result of the matrix multiplication. Onexit,Yisoverwrittenbythe WhenBETAis #JackDongarra,ArgonneNationalLab. Intel's compilers may or may not optimize to the same degree # 148 *> case C need not be set on entry. nm -S libmwblas.lib | grep dgemm 0000000000000000 I __imp_dgemm 0000000000000000 T dgemm nm -S libdmumps.a | grep dgemm U dgemm_ Please click the verification link in your email. JY=JY+INCY # Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. microprocessors. A Fast Parallel Cholesky Decomposition Algorithm for Tridiagonal #Onentry,ALPHAspecifiesthescalaralpha. DO40,I=1,LENY # An Optimized Framework for Matrix Factorization on the New Sunway Many # #(1+(n-1)*abs(INCX))whenTRANS='N'or'n'

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