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 not been compiled in a manner that facilitates the use of multiple threads.
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/fllux21dgl or /usr/local/NAG/fllux21dgl depending on your system; however it could have been changed by the installer. To identify [INSTALL_DIR] for this installation:
g77 driver.f [INSTALL_DIR]/lib/libnag_mkl.a -L[INSTALL_DIR]/mkl_32 \ -lmkl_lapack32 -lmkl_p4 -lvml -lmkl_vml_p4 -lmkl_lapack -lguide -lpthreadwhere driver.f is your application program;
or
g77 driver.f [INSTALL_DIR]/lib/libnag_mkl.so -L[INSTALL_DIR]/mkl_32 \ -lmkl_lapack32 -lmkl_p4 -lvml -lmkl_vml_p4 -lmkl_lapack -lguide -lpthreadif the shareable library is required.
However, if you prefer to link to a version of the NAG library which does not require the use of the MKL libraries, you may wish to use the self-contained libraries as follows:
g77 driver.f [INSTALL_DIR]/lib/libnag_nag.a -lpthreador
g77 driver.f [INSTALL_DIR]/lib/libnag_nag.so -lpthreadif the shareable library is required.
Please note that using a self-contained library may result in some degradation in the performance of your application.
If your application has been linked with the shareable NAG and MKL libraries then the environment variable LD_LIBRARY_PATH must be set (or extended) to allow run time linkage.
In the C shell type:
setenv LD_LIBRARY_PATH [INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32to set LD_LIBRARY_PATH, or
setenv LD_LIBRARY_PATH ${LD_LIBRARY_PATH}:[INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32to extend LD_LIBRARY_PATH if you already have it set.
In the Bourne shell, type:
LD_LIBRARY_PATH=[INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32 export LD_LIBRARY_PATHto set LD_LIBRARY_PATH, or
LD_LIBRARY_PATH=${LD_LIBRARY_PATH}:[INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32 export LD_LIBRARY_PATHto extend LD_LIBRARY_PATH if you already have it set.
In this section we assume that the compiled libraries and the supplied MKL libraries are pointed at by symbolic links from a directory in the search path of the linker, such as /usr/lib.
To use the NAG Fortran Library and the supplied MKL libraries, you may link in the following manner:
g77 driver.f -lnag_mkl -lmkl_lapack32 -lmkl_p4 -lvml -lmkl_vml_p4 -lmkl_lapack \ -lguide -lpthreadTo use the static library libnag_mkl.a you need the -Bstatic compiler flag to switch static binding on and -Bdynamic to switch dynamic binding on:
g77 -Bstatic driver.f -lnag_mkl -Bdynamic -lmkl_lapack32 -lmkl_p4 -lvml \ -lmkl_vml_p4 -lmkl_lapack -lguide -lpthread
However, if you prefer to link to a version of the NAG library which does not require the use of the MKL libraries, you may wish to use the self-contained libraries as follows:
g77 driver.f -lnag_nag -lpthreadThis will usually link to the shareable library in preference to the static library if both the libraries are at the same location.
To use the static library libnag_nag.a you need the -Bstatic compiler flag:
g77 -Bstatic driver.f -lnag_nag -lpthread
Please note that using a self-contained library may result in some degradation in the performance of your application.
If your application has been linked with the shareable NAG and MKL libraries then the environment variable LD_LIBRARY_PATH must be set (or extended) to allow run time linkage.
In the C shell type:
setenv LD_LIBRARY_PATH [INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32to set LD_LIBRARY_PATH, or
setenv LD_LIBRARY_PATH ${LD_LIBRARY_PATH}:[INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32to extend LD_LIBRARY_PATH if you already have it set.
In the Bourne shell, type:
LD_LIBRARY_PATH=[INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32 export LD_LIBRARY_PATHto set LD_LIBRARY_PATH, or
LD_LIBRARY_PATH=${LD_LIBRARY_PATH}:[INSTALL_DIR]/lib:[INSTALL_DIR]/mkl_32 export LD_LIBRARY_PATHto extend LD_LIBRARY_PATH if you already have it set.
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, 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, presenting its output to stdout.
The example program concerned is specified by the argument to the command, e.g.
nagexample f08nhfwill copy the example program into the file f08nhfe.f in the current directory and process it to produce the example program results.
The example programs are supplied in machine-readable form. They are suitable for immediate execution. Note that the distributed example programs are those used in this implementation and may not correspond exactly with the programs published in the manual. The distributed example programs should be used in preference wherever possible.
The distributed example results are those obtained with the NAG self-contained static library libnag_nag.a, (using the NAG BLAS and LAPACK routines). Running the examples with vendor BLAS or LAPACK may give slightly different results.
double precision - DOUBLE PRECISION (REAL*8) basic precision - double precision complex*16 - COMPLEX*16 additional precision - quadruple precision (REAL*16,COMPLEX*32) machine precision - the machine precision, see the value returned by X02AJF in Section 4
Thus a parameter described as double precision should be declared as DOUBLE PRECISION in your program. If a routine accumulates an inner product in additional precision, it is using software to simulate quadruple precision.
All references to routines in Chapter F07 - Linear Equations (LAPACK) and Chapter F08 - Least-squares and Eigenvalue Problems (LAPACK) use the LAPACK name, not the NAG F07/F08 name.
The example programs for D03RAF and D03RBF take much longer to run than other
examples.
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
MKL library may require
a different amount of workspace than the equivalent NAG versions
of these routines. Care should be taken when using the workspace
query mechanism.
In this implementation calls to the NAG version of the following Basic Linear Algebra Subprograms (BLAS) and linear algebra routines (LAPACK) are included in the libraries libnag_mkl.a and libnag_mkl.so to avoid problems with the vendor version:
DDOT DGGESX ZGGESX ZHPEVD
The value of ACC, the machine-dependent constant mentioned in several documents
in the chapter, is
On hard failure, P01ABF writes the error message to the error message unit
specified by X04AAF and then stops.
The constants referred to in the NAG Fortran Library Manual have the following
values in this implementation:
S07AAF F(1) = 1.0D+13 F(2) = 1.0D-14 S10AAF E(1) = 1.8500D+1 S10ABF E(1) = 7.080D+2 S10ACF E(1) = 7.080D+2 S13AAF x(hi) = 7.083D+2 S13ACF x(hi) = 1.0D+16 S13ADF x(hi) = 1.0D+17 S14AAF IFAIL = 1 if X > 1.70D+2 IFAIL = 2 if X < -1.70D+2 IFAIL = 3 if abs(X) < 2.23D-308 S14ABF IFAIL = 2 if X > 2.55D+305 S15ADF x(hi) = 2.66D+1 x(low) = -6.25D+0 S15AEF x(hi) = 6.25D+0 S17ACF IFAIL = 1 if X > 1.0D+16 S17ADF IFAIL = 1 if X > 1.0D+16 IFAIL = 3 if 0.0D+00 < X <= 2.23D-308 S17AEF IFAIL = 1 if abs(X) > 1.0D+16 S17AFF IFAIL = 1 if abs(X) > 1.0D+16 S17AGF IFAIL = 1 if X > 1.038D+2 IFAIL = 2 if X < -5.6D+10 S17AHF IFAIL = 1 if X > 1.041D+2 IFAIL = 2 if X < -5.6D+10 S17AJF IFAIL = 1 if X > 1.041D+2 IFAIL = 2 if X < -1.8D+9 S17AKF IFAIL = 1 if X > 1.041D+2 IFAIL = 2 if X < -1.8D+9 S17DCF IFAIL = 2 if abs (Z) < 3.93D-305 IFAIL = 4 if abs (Z) or FNU+N-1 > 3.27D+4 IFAIL = 5 if abs (Z) or FNU+N-1 > 1.07D+9 S17DEF IFAIL = 2 if imag (Z) > 7.00D+2 IFAIL = 3 if abs (Z) or FNU+N-1 > 3.27D+4 IFAIL = 4 if abs (Z) or FNU+N-1 > 1.07D+9 S17DGF IFAIL = 3 if abs (Z) > 1.02D+3 IFAIL = 4 if abs (Z) > 1.04D+6 S17DHF IFAIL = 3 if abs (Z) > 1.02D+3 IFAIL = 4 if abs (Z) > 1.04D+6 S17DLF IFAIL = 2 if abs (Z) < 3.93D-305 IFAIL = 4 if abs (Z) or FNU+N-1 > 3.27D+4 IFAIL = 5 if abs (Z) or FNU+N-1 > 1.07D+9 S18ADF IFAIL = 2 if 0.0D+00 < X <= 2.23D-308 S18AEF IFAIL = 1 if abs(X) > 7.116D+2 S18AFF IFAIL = 1 if abs(X) > 7.116D+2 S18CDF IFAIL = 2 if 0.0D+00 < X <= 2.23D-308 S18DCF IFAIL = 2 if abs (Z) < 3.93D-305 IFAIL = 4 if abs (Z) or FNU+N-1 > 3.27D+4 IFAIL = 5 if abs (Z) or FNU+N-1 > 1.07D+9 S18DEF IFAIL = 2 if real (Z) > 7.00D+2 IFAIL = 3 if abs (Z) or FNU+N-1 > 3.27D+4 IFAIL = 4 if abs (Z) or FNU+N-1 > 1.07D+9 S19AAF IFAIL = 1 if abs(x) >= 4.95000D+1 S19ABF IFAIL = 1 if abs(x) >= 4.95000D+1 S19ACF IFAIL = 1 if X > 9.9726D+2 S19ADF IFAIL = 1 if X > 9.9726D+2 S21BCF IFAIL = 3 if an argument < 1.579D-205 IFAIL = 4 if an argument >= 3.774D+202 S21BDF IFAIL = 3 if an argument < 2.820D-103 IFAIL = 4 if an argument >= 1.404D+102
The values of the mathematical constants are:
X01AAF (PI) = 3.1415926535897932D+00 X01ABF (GAMMA) = 0.5772156649015329D+00
The values of the machine constants are:
The basic parameters of the model
X02BHF = 2 X02BJF = 53 X02BKF = -1021 X02BLF = 1024 X02DJF = .TRUE.Derived parameters of the floating-point arithmetic
X02AJF = 1.11130722679765D-16 X02AKF = 2.22507385850721D-308 X02ALF = 1.79769313486231D+308 X02AMF = 2.22507385850721D-308 X02ANF = 2.22507385850721D-308Parameters of other aspects of the computing environment
X02AHF = 1.84467440737095D+19 X02BBF = 2147483647 X02BEF = 15 X02DAF = .FALSE.
The default output units for error and advisory messages for those routines
which can produce explicit output are both Fortran Unit 6.
A full online version of the NAG Fortran Library Manual is supplied in the form of Portable Document Format (PDF) files, with an HTML index, in the nagdoc_fl21 directory. The introductory material is also provided as HTML files in the nagdoc_fl21 directory.
A main index file has been provided (nagdoc_fl21/html/mark21.html) which contains a fully linked contents document pointing to all the available PDF (and where available HTML) files. Use your HTML browser to navigate from here.
In addition the following are provided:
The NAG Response Centres are available for general enquiries from all users and also for technical queries from sites with an annually licensed product or support service.
The Response Centres are open during office hours, but contact is possible by fax, email and phone (answering machine) at all times.
When contacting a Response Centre it helps us deal with your enquiry quickly if you can quote your NAG site reference and NAG product code (in this case FLLUX21DGL).
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:
http://www.nag.co.uk/, http://www.nag.com/ or http://www.nag-j.co.jp/
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