In addition, NAG recommends that before calling any Library routine you should read the following reference material (see Section 5):
(a) Essential Introduction
(b) Chapter Introduction
(c) Routine Document
The libraries supplied with this implementation have been compiled in a manner that facilitates their use within a multithreaded application. If you intend to use the NAG library within a multithreaded application please refer to the document on Thread Safety in the Library Manual (see Section 5).
http://www.nag.co.uk/doc/inun/fs24/so6dc/postrelease.html
for details of any new information related to the applicability or usage of this implementation.
In this section we assume that the library has been installed in the directory [INSTALL_DIR].
By default [INSTALL_DIR] (see Installer's Note (in.html)) is /opt/NAG/fsso624dc or /usr/local/NAG/fsso624dc depending on your system; however it could have been changed by the person who did the installation. To identify [INSTALL_DIR] for this installation:
f90 -O3 -dalign -stackvar -openmp -m64 -I[INSTALL_DIR]/nag_interface_blocks driver.f90 \ [INSTALL_DIR]/lib/libnagsmp.a \where driver.f90 is your application program ; or
-xlic_lib=sunperf
f90 -O3 -dalign -stackvar -openmp -m64 -I[INSTALL_DIR]/nag_interface_blocks driver.f90 \ [INSTALL_DIR]/lib/libnagsmp.so \if the shareable library is required.
-xlic_lib=sunperf
If your application has been linked with the shareable NAG library then the environment variable LD_LIBRARY_PATH_64 must be set or extended, as follows, to allow run-time linkage.
In the C shell, type:
setenv LD_LIBRARY_PATH_64 [INSTALL_DIR]/libto set LD_LIBRARY_PATH_64, or
setenv LD_LIBRARY_PATH_64 [INSTALL_DIR]/lib:${LD_LIBRARY_PATH_64}to extend LD_LIBRARY_PATH_64 if you already have it set.
In the Bourne shell, type:
LD_LIBRARY_PATH_64=[INSTALL_DIR]/lib export LD_LIBRARY_PATH_64to set LD_LIBRARY_PATH_64, or
LD_LIBRARY_PATH_64=[INSTALL_DIR]/lib:${LD_LIBRARY_PATH_64} export LD_LIBRARY_PATH_64to extend LD_LIBRARY_PATH_64 if you already have it set.
Note that you may also need to set LD_LIBRARY_PATH_64 to point at other items such as compiler run-time libraries, for example if you are using a newer version of the compiler.
In the C shell type:
setenv OMP_NUM_THREADS NIn the Bourne shell, type:
OMP_NUM_THREADS=N export OMP_NUM_THREADSwhere N is the number of threads required. OMP_NUM_THREADS may be re-set between each execution of the program, as desired.
In general, the maximum number of threads you are recommended to use is the number of physical cores on your SMP system.
A document, techdoc.html, giving advice on calling the NAG Library for SMP & Multicore from C and C++ is also available in [INSTALL_DIR]/c_headers.
(a) subroutines are called as such;
(b) functions are declared with the right type;
(c) the correct number of arguments are passed; and
(d) all arguments match in type and structure.
The NAG Library for SMP & Multicore interface block files are organised by Library chapter. They are aggregated into one module named
nag_libraryThe modules are supplied in pre-compiled form (.mod files) and they can be accessed by specifying the -Ipathname option on each compiler invocation, where pathname ([INSTALL_DIR]/nag_interface_blocks) is the path of the directory containing the compiled interface blocks.
The .mod module files were compiled with the compiler shown in Section 2.1 of the Installer's Note. Such module files are compiler-dependent, so if you wish to use the NAG example programs, or use the interface blocks in your own programs, when using a compiler that is incompatible with these modules, you will first need to create your own module files. See the Post Release Information page
http://www.nag.co.uk/doc/inun/fs24/so6dc/postrelease.html
where more information may be available, or contact NAG for further help.
Note that the example material has been adapted, if necessary, from that published in the Library Manual, so that programs are suitable for execution with this implementation with no further changes. The distributed example programs should be used in preference to the versions in the Library Manual wherever possible. The directory [INSTALL_DIR]/scripts contains two scripts nagsmp_example and nagsmp_example_shar.
The example programs are most easily accessed by one of the commands
Each command will provide you with a copy of an example program (and its data and options file, if any), compile the program and link it with the appropriate libraries (showing you the compile command so that you can recompile your own version of the program). Finally, the executable program will be run with appropriate arguments specifying data, options and results files as needed.
The example program concerned, and the number of OpenMP threads to use, are specified by the arguments to the command, e.g.
nagsmp_example e04nrf 4will copy the example program and its data and options files (e04nrfe.f90, e04nrfe.d and e04nrfe.opt) into the current directory, compile the program and run it using 4 OpenMP threads to produce the example program results in the file e04nrfe.r.
The NAG Library and documentation use parameterized types for floating-point variables. Thus, the type
REAL(KIND=nag_wp)appears in documentation of all NAG Library for SMP & Multicore routines, where nag_wp is a Fortran KIND parameter. The value of nag_wp will vary between implementations, and its value can be obtained by use of the nag_library module. We refer to the type nag_wp as the NAG Library "working precision" type, because most floating-point arguments and internal variables used in the library are of this type.
In addition, a small number of routines use the type
REAL(KIND=nag_rp)where nag_rp stands for "reduced precision type". Another type, not currently used in the library, is
REAL(KIND=nag_hp)for "higher precision type" or "additional precision type".
For correct use of these types, see almost any of the example programs distributed with the Library.
For this implementation, these types have the following meanings:
REAL (kind=nag_rp) means REAL (i.e. single precision) REAL (kind=nag_wp) means DOUBLE PRECISION COMPLEX (kind=nag_rp) means COMPLEX (i.e. single precision complex) COMPLEX (kind=nag_wp) means double precision complex (e.g. COMPLEX*16)
In addition, the Manual has adopted a convention of using bold italics to distinguish some terms.
One important bold italicised term is machine
precision, which denotes the relative precision to which
DOUBLE PRECISION floating-point numbers are stored in
the computer, e.g. in an implementation with approximately 16 decimal
digits of precision, machine precision has a value of
approximately
The precise value of machine precision is given by the routine X02AJF. Other routines in Chapter X02 return the values of other implementation-dependent constants, such as the overflow threshold, or the largest representable integer. Refer to the X02 Chapter Introduction for more details.
The bold italicised term block size is used only in Chapters F07 and F08. It denotes the block size used by block algorithms in these chapters. You only need to be aware of its value when it affects the amount of workspace to be supplied – see the parameters WORK and LWORK of the relevant routine documents and the Chapter Introduction.
DFFTB DFFTF DFFTI ZFFTB ZFFTF ZFFTI VDFFTB VDFFTF VDFFTI VZFFTB VZFFTF VZFFTI ZFFT2B ZFFT2F ZFFT2I ZFFT3B ZFFT3F ZFFT3Iin the following NAG routines:
C06PAF C06PCF C06PFF C06PJF C06PKF C06PPF C06PQF C06PRF C06PSF C06PUF C06PXFThe required size of the workspace array WORK for each routine will depend upon the parameters used and thus the choice of Sun or NAG FFT kernels used within the FFT routines. The values specified in the NAG routine documents should be sufficient in all cases.
Many LAPACK routines have a "workspace query" mechanism which allows a caller to interrogate the routine to determine how much workspace to supply. Note that LAPACK routines from the Sunperf library may require a different amount of workspace from the equivalent NAG versions of these routines. Care should be taken when using the workspace query mechanism.
In this implementation calls to BLAS and LAPACK routines are implemented by calls to Sunperf,
except for the following routines:
BLAS_DMAX_VAL BLAS_DMIN_VAL DBDSDC DBDSQR DGBRFS DGBSV DGBSVX DGBTRF DGBTRS DGEBAL DGEBRD DGEES DGEESX DGEEV DGEEVX DGEHRD DGEJSV DGELS DGELSD DGELSS DGELSY DGEMV DGEQP3 DGEQRF DGER DGERFS DGESDD DGESV DGESVD DGESVJ DGESVX DGETRF DGETRS DGGES DGGESX DGGEV DGGEVX DGGGLM DGGLSE DGGQRF DGGRQF DGTRFS DGTSVX DHSEIN DHSEQR DLANSF DNRM2 DOPGTR DORGBR DORGHR DORGQR DORGTR DORMBR DORMHR DORMQR DORMTR DPBRFS DPBSV DPBSVX DPBTRS DPFTRF DPFTRI DPFTRS DPORFS DPOSV DPOSVX DPOTRF DPOTRS DPPRFS DPPSV DPPSVX DPPTRS DPSTRF DPTEQR DPTRFS DPTSVX DROT DSBEV DSBEVD DSBEVX DSBGV DSBGVD DSBGVX DSBTRD DSFRK DSGESV DSPEV DSPEVD DSPEVX DSPGV DSPGVD DSPGVX DSPOSV DSPRFS DSPSVX DSTEBZ DSTEDC DSTEGR DSTEIN DSTEQR DSTEV DSTEVD DSTEVR DSTEVX DSYEV DSYEVD DSYEVR DSYEVX DSYGV DSYGVD DSYGVX DSYRFS DSYSV DSYSVX DSYTRD DSYTRF DTBRFS DTBTRS DTFSM DTFTRI DTFTTP DTFTTR DTGSNA DTGSYL DTPRFS DTPTRS DTPTTF DTPTTR DTRRFS DTRSEN DTRSV DTRTTF DTRTTP ZBDSQR ZCGESV ZCPOSV ZDSCAL ZGBRFS ZGBSV ZGBSVX ZGBTRF ZGBTRS ZGEBAL ZGEBRD ZGEES ZGEESX ZGEEV ZGEEVX ZGELS ZGELSD ZGELSS ZGELSY ZGEQP3 ZGEQRF ZGERFS ZGESDD ZGESV ZGESVD ZGESVX ZGETRF ZGETRS ZGGBAK ZGGES ZGGESX ZGGEV ZGGEVX ZGGGLM ZGGLSE ZGGQRF ZGGRQF ZGTRFS ZGTSVX ZHBEV ZHBEVD ZHBEVX ZHBGV ZHBGVD ZHBGVX ZHBTRD ZHEEV ZHEEVD ZHEEVR ZHEEVX ZHEGV ZHEGVD ZHEGVX ZHERFS ZHESVX ZHETRD ZHFRK ZHPEV ZHPEVD ZHPEVX ZHPGV ZHPGVD ZHPGVX ZHPRFS ZHPSVX ZHSEIN ZLANHF ZPBRFS ZPBSV ZPBSVX ZPBTRF ZPBTRS ZPFTRF ZPFTRI ZPFTRS ZPORFS ZPOSV ZPOSVX ZPOTRF ZPOTRI ZPOTRS ZPPRFS ZPPSV ZPPSVX ZPPTRS ZPSTRF ZPTEQR ZPTRFS ZPTSVX ZSPRFS ZSPSVX ZSTEDC ZSTEGR ZSTEIN ZSTEQR ZSYRFS ZSYSVX ZTBRFS ZTBTRS ZTFSM ZTFTRI ZTFTTP ZTFTTR ZTPRFS ZTPTRS ZTPTTF ZTPTTR ZTRRFS ZTRTTF ZTRTTP ZUNGBR ZUNGHR ZUNGQR ZUNGTR ZUNMBR ZUNMHR ZUNMQR ZUNMTR ZUPGTR
The behaviour of functions in these Chapters may depend on implementation-specific values.
General details are given in the Library Manual, but the specific values used in this implementation are as follows:
S07AAF F_1 = 1.0E+13 F_2 = 1.0E-14 S10AAF E_1 = 1.8715E+1 S10ABF E_1 = 7.080E+2 S10ACF E_1 = 7.080E+2 S13AAF x_hi = 7.083E+2 S13ACF x_hi = 1.0E+16 S13ADF x_hi = 1.0E+17 S14AAF IFAIL = 1 if X > 1.70E+2 IFAIL = 2 if X < -1.70E+2 IFAIL = 3 if abs(X) < 2.23E-308 S14ABF IFAIL = 2 if X > x_big = 2.55E+305 S15ADF x_hi = 2.65E+1 S15AEF x_hi = 2.65E+1 S15AGF IFAIL = 1 if X >= 2.53E+307 IFAIL = 2 if 4.74E+7 <= X < 2.53E+307 IFAIL = 3 if X < -2.66E+1 S17ACF IFAIL = 1 if X > 1.0E+16 S17ADF IFAIL = 1 if X > 1.0E+16 IFAIL = 3 if 0 < X <= 2.23E-308 S17AEF IFAIL = 1 if abs(X) > 1.0E+16 S17AFF IFAIL = 1 if abs(X) > 1.0E+16 S17AGF IFAIL = 1 if X > 1.038E+2 IFAIL = 2 if X < -5.7E+10 S17AHF IFAIL = 1 if X > 1.041E+2 IFAIL = 2 if X < -5.7E+10 S17AJF IFAIL = 1 if X > 1.041E+2 IFAIL = 2 if X < -1.9E+9 S17AKF IFAIL = 1 if X > 1.041E+2 IFAIL = 2 if X < -1.9E+9 S17DCF IFAIL = 2 if abs(Z) < 3.92223E-305 IFAIL = 4 if abs(Z) or FNU+N-1 > 3.27679E+4 IFAIL = 5 if abs(Z) or FNU+N-1 > 1.07374E+9 S17DEF IFAIL = 2 if AIMAG(Z) > 7.00921E+2 IFAIL = 3 if abs(Z) or FNU+N-1 > 3.27679E+4 IFAIL = 4 if abs(Z) or FNU+N-1 > 1.07374E+9 S17DGF IFAIL = 3 if abs(Z) > 1.02399E+3 IFAIL = 4 if abs(Z) > 1.04857E+6 S17DHF IFAIL = 3 if abs(Z) > 1.02399E+3 IFAIL = 4 if abs(Z) > 1.04857E+6 S17DLF IFAIL = 2 if abs(Z) < 3.92223E-305 IFAIL = 4 if abs(Z) or FNU+N-1 > 3.27679E+4 IFAIL = 5 if abs(Z) or FNU+N-1 > 1.07374E+9 S18ADF IFAIL = 2 if 0 < X <= 2.23E-308 S18AEF IFAIL = 1 if abs(X) > 7.116E+2 S18AFF IFAIL = 1 if abs(X) > 7.116E+2 S18DCF IFAIL = 2 if abs(Z) < 3.92223E-305 IFAIL = 4 if abs(Z) or FNU+N-1 > 3.27679E+4 IFAIL = 5 if abs(Z) or FNU+N-1 > 1.07374E+9 S18DEF IFAIL = 2 if REAL(Z) > 7.00921E+2 IFAIL = 3 if abs(Z) or FNU+N-1 > 3.27679E+4 IFAIL = 4 if abs(Z) or FNU+N-1 > 1.07374E+9 S19AAF IFAIL = 1 if abs(X) >= 5.04818E+1 S19ABF IFAIL = 1 if abs(X) >= 5.04818E+1 S19ACF IFAIL = 1 if X > 9.9726E+2 S19ADF IFAIL = 1 if X > 9.9726E+2 S21BCF IFAIL = 3 if an argument < 1.583E-205 IFAIL = 4 if an argument >= 3.765E+202 S21BDF IFAIL = 3 if an argument < 2.813E-103 IFAIL = 4 if an argument >= 1.407E+102
The values of the mathematical constants are:
X01AAF (pi) = 3.1415926535897932 X01ABF (gamma) = 0.5772156649015328
The values of the machine constants are:
The basic parameters of the model
X02BHF = 2 X02BJF = 53 X02BKF = -1021 X02BLF = 1024
Derived parameters of the floating-point arithmetic
X02AJF = 1.11022302462516E-16 X02AKF = 2.22507385850721E-308 X02ALF = 1.79769313486231E+308 X02AMF = 2.22507385850721E-308 X02ANF = 2.22507385850721E-308
Parameters of other aspects of the computing environment
X02AHF = 1.42724769270596E+45 X02BBF = 2147483647 X02BEF = 15
The Library Manual is available as part of the installation or via download from the NAG website. The most up-to-date version of the documentation is accessible via the NAG website at http://www.nag.co.uk/numeric/FL/FSdocumentation.asp.
The Library Manual is supplied in the following formats:
The following main index files have been provided for these formats:
nagdoc_fl24/html/FRONTMATTER/manconts.html nagdoc_fl24/pdf/FRONTMATTER/manconts.pdf nagdoc_fl24/pdf/FRONTMATTER/manconts.htmlUse your web browser to navigate from here. For convenience, a master index file containing links to the above files has been provided at
nagdoc_fl24/index.html
Advice on viewing and navigating the formats available can be found in the Online Documentation document.
In addition the following are provided:
The NAG Technical Support Service is available for general enquiries from all users and also for technical queries from sites with an annually licensed product or support service.
The technical support desks are open during office hours, but contact is possible by email and phone (answering machine) at all times.
When contacting us, it helps us deal with your enquiry quickly if you can quote your NAG customer reference number and NAG product code (in this case FSSO624DC).
The NAG websites provide information about implementation availability, descriptions of products, downloadable software, product documentation and technical reports. The NAG websites can be accessed at the following URLs:
NAG Ltd Wilkinson House Jordan Hill Road OXFORD OX2 8DR Technical Support (Europe & ROW) United Kingdom email: support@nag.co.uk Tel: +44 (0)1865 511245 Tel: +44 (0)1865 311744 NAG Inc 801 Warrenville Road Suite 185 Lisle, IL 60532-4332 Technical Support (North America) USA email: support@nag.com Tel: +1 630 971 2337 Tel: +1 630 971 2337 Nihon NAG KK Hatchobori Frontier Building 2F 4-9-9 Hatchobori Chuo-ku Tokyo 104-0032 Technical Support (Japan) Japan email: naghelp@nag-j.co.jp Tel: +81 3 5542 6311 Tel: +81 3 5542 6311