NAG C Library, Mark 9

CLSA309DCL- License Managed

AMD Opteron, Solaris, Sun C, 32-bit

Users' Note


1. Introduction

This document is essential reading for every user of the NAG C Library Implementation specified in the title. It provides implementation-specific detail that augments the information provided in the NAG Mark 9 Library Manual (which we will refer to as the Library Manual). Wherever that manual refers to the "Users' Note for your implementation", you should consult this note.

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 facilitate the use of multiple threads.

2. Post Release Information

Please check the following URL:

for details of any new information related to the applicability or usage of this implementation.

3. General Information

For best performance, we recommend that you should use the variant of the NAG C Library which is based on the Sun Performance Library (SPL) i.e. libnagc_spl.a or However if you use a version of the Sun Performance Library different from the version used in creating this implementation and you have problems when calling a NAG routine, we suggest that you use one of the above libraries or one of the self-contained libraries libnagc_nag.a or

3.1. Accessing the Library

In this section we assume that the library and the NAG include files have been installed in the directory [INSTALL_DIR].

By default [INSTALL_DIR] (see Installer's Note (in.html)) is /opt/NAG/clsa309dcl or /usr/local/NAG/clsa309dcl depending on your system; however it could have been changed by the person who did the installation. To identify [INSTALL_DIR] for this installation:

To use the NAG C Library and the Sun Performance Library, you may link in the following manner:
 cc driver.c -mt -xtarget=opteron -I[INSTALL_DIR]/include \
[INSTALL_DIR]/lib/libnagc_spl.a -xlic_lib=sunperf -lsocket -lnsl -lpthread 
where driver.c is your application program;


cc driver.c -mt -xtarget=opteron -I[INSTALL_DIR]/include \
[INSTALL_DIR]/lib/ -xlic_lib=sunperf -lsocket -lnsl -lpthread
if 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 Sun Performance Library, you may wish to use the self-contained libraries as follows:

cc driver.c -mt -xtarget=opteron -I[INSTALL_DIR]/include \
[INSTALL_DIR]/lib/libnagc_nag.a -lm -lsocket -lnsl -lpthread -lsunmath

cc driver.c -mt -xtarget=opteron -I[INSTALL_DIR]/include \
[INSTALL_DIR]/lib/ -lm -lsocket -lnsl -lpthread -lsunmath
if the shareable library is required.

If the compiled libraries, the include files and the Sun Performance Library are pointed at by symbolic links from a directory in the search path of the linker, such as /usr/lib, then you may alternatively link in the following manner:

 cc driver.c -mt -xtarget=opteron -lnagc_spl -xlic_lib=sunperf -lsocket -lnsl -lpthread 
This 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 libnagc_spl.a you need the -Bstatic compiler flag to switch static binding on and -Bdynamic to switch dynamic binding on:

  cc -Bstatic driver.c -mt -xtarget=opteron -lnagc_spl \
   -Bdynamic -xlic_lib=sunperf -lsocket -lnsl -lpthread 

Similarly for the self-contained libraries the commands

cc driver.c -mt -xtarget=opteron -lnagc_nag -lm -lsocket -lnsl -lpthread -lsunmath

cc -Bstatic driver.c -mt -xtarget=opteron -lnagc_nag \
 -Bdynamic -lm -lsocket -lnsl -lpthread -lsunmath
may be used to link to the shared library or the static library respectively.

If your application has been linked with the shareable NAG and SPL libraries then the environment variable LD_LIBRARY_PATH must be set (or extended) to allow run time linkage.

In the C shell type:

to set LD_LIBRARY_PATH, or
to extend LD_LIBRARY_PATH if you already have it set.

In the Bourne shell, type:

to set LD_LIBRARY_PATH, or
to extend LD_LIBRARY_PATH if you already have it set.

3.2. Example Programs

The example results distributed were generated at Mark 9, using the software described in Section 2.2 of the Installer's Note. These example results may not be exactly reproducible if the example programs are run in a slightly different environment (for example, a different C compiler, a different compiler library, or a different set of BLAS or LAPACK routines). The results which are most sensitive to such differences are: eigenvectors (which may differ by a scalar multiple, often -1, but sometimes complex); numbers of iterations and function evaluations; and residuals and other "small" quantities of the same order as the machine precision.

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 four scripts nagc_example_spl, nagc_example_shar_spl, nagc_example and nagc_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 is specified by the argument to the command, e.g.

nagc_example_spl e04ucc
will copy the example program data and options files e04ucce.c, e04ucce.d and e04ucce.opt into the current directory and process them to produce the example program results in the file e04ucce.r.

The distributed example results are those obtained with the static library libnagc_spl.a, (using the SPL version of the Basic Linear Algebra Subprograms (BLAS) and Linear Algebra PACKage (LAPACK) routines). Running the examples with the self-contained library (using the NAG BLAS and LAPACK routines) may give slightly different results.

4. Routine-specific Information

Any further information which applies to one or more routines in this implementation is listed below, chapter by chapter.
  1. F06, F07 and F08

    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 libnagc_spl.a and to avoid problems with the vendor version:

      ddot  dgbsvx  dgebal  dgeesx  dgeevx  dgehrd  dgels  dgelss  dgerfs  dgesdd  dgesvd  dgesvx  
      dgetrf dggesx  dggevx  dgglse  dhseqr dgtsvx  dormql dpbsvx  dpbtrf  dposvx  dpotrf  dppsvx  
      dptsvx dsgesv  dspgvd  dspsvx  dsptrf  dsysvx  dsytrf  dtrsen  zcgesv  zdotc  zdotci zdotu 
      zdotui zgbsvx  zgebal  zgeesx  zgeevx  zgehrd  zgels  zgelsd  zgelsy  zgeqlf  zgeqp3 zgeqpf 
      zgesdd zgesvd  zgesvx  zgetrf  zggesx  zggevx  zggglm zgglse  zgtsvx  zheevr  zhegv  zhesvx 
      zhetrf zhpevd  zhpsvx  zhseqr  zhptrf  zpbsvx  zpbtrf zposvx  zpotrf  zppsvx  zptsvx zspsvx 
      zsptrf zsysvx  zsytrf  ztgsen  ztgsna  ztrsen
  2. s10 - s21

    Functions in this chapter will give error messages if called with illegal or unsafe arguments. General details are given in the NAG C Library Manual, but parameter limits which are implementation specific are given below:
    s10aac  E(1)      = 1.8715E+1
    s10abc  fail.code = NE_REAL_ARG_GT if X > 7.080e+2
    s10acc  fail.code = NE_REAL_ARG_GT if X > 7.080e+2
    s13aac  X(hi)     = 7.083e+2
    s13acc  X(hi)     = 1.0e+16
    s13adc  X(hi)     = 1.0e+17
    s14aac  fail.code = NE_REAL_ARG_GT if X > 1.70e+2
            fail.code = NE_REAL_ARG_LT if X < -1.70e+2
            fail.code = NE_REAL_ARG_TOO_SMALL if ABS(X) < 2.23e-308
    s14abc  fail.code = NE_REAL_ARG_GT if X > 2.55e+305
    s17acc  fail.code = NE_REAL_ARG_GT if X > 1.0e+16
    s17adc  fail.code = NE_REAL_ARG_GT if X > 1.0e+16
            fail.code = NE_REAL_ARG_TOO_SMALL if X <= 2.23e-308
    s17aec  fail.code = NE_REAL_ARG_GT if ABS(X) > 1.0e+16
    s17afc  fail.code = NE_REAL_ARG_GT if ABS(X) > 1.0e+16
    s17agc  fail.code = NE_REAL_ARG_GT if X > 1.038e+2
            fail.code = NE_REAL_ARG_LT if X < -5.7e+10
    s17ahc  fail.code = NE_REAL_ARG_GT if X > 1.041e+2
            fail.code = NE_REAL_ARG_LT if X < -5.7e+10
    s17ajc  fail.code = NE_REAL_ARG_GT if X > 1.041e+2
            fail.code = NE_REAL_ARG_LT if X < -1.9e+9
    s17akc  fail.code = NE_REAL_ARG_GT if X > 1.041e+2
            fail.code = NE_REAL_ARG_LT if X < -1.9e+9
    s18adc  fail.code = NE_REAL_ARG_TOO_SMALL if 0.0D+00 < X <= 2.23e-308
    s18aec  fail.code = NE_REAL_ARG_GT if ABS(X) > 7.116e+2
    s18afc  fail.code = NE_REAL_ARG_GT if ABS(X) > 7.116e+2
    s18cdc  fail.code = NE_REAL_ARG_TOO_SMALL if 0.0D+00 < X <= 2.23e-308
    s19aac  fail.code = NE_REAL_ARG_GT if ABS(X) >= 5.04818E+1
    s19abc  fail.code = NE_REAL_ARG_GT if ABS(X) >= 5.04818E+1
    s19acc  fail.code = NE_REAL_ARG_GT if X > 9.9726e+2
    s19adc  fail.code = NE_REAL_ARG_GT if X > 9.9726e+2
    s21bcc  fail.code = NE_REAL_ARG_LT if an argument < 1.583E-205
            fail.code = NE_REAL_ARG_GE if an argument >= 3.765e+202
    s21bdc  fail.code = NE_REAL_ARG_LT if an argument < 2.813e-103
            fail.code = NE_REAL_ARG_GT if an argument > 1.407e+102
  3. x01

    The values of the mathematical constants are provided in the header file nagx01.h
    X01AAC (pi)    = 3.1415926535897932e+00
    X01ABC (gamma) = 0.5772156649015328e+00
  4. x02

    The values of the machine constants are provided in in the header file nagx02.h

    The basic parameters of the model

    X02BHC = 2
    X02BJC = 53
    X02BKC = -1021
    X02BLC = 1024
    X02DJC = Nag_TRUE

    Derived parameters of the floating-point arithmetic

    X02AJC = 1.11022302462516e-16
    X02AKC = 2.22507385850721e-308
    X02ALC = 1.79769313486231e+308
    X02AMC = 2.22507385850721e-308
    X02ANC = 2.22507385850721e-308

    Parameters of other aspects of the computing environment

    X02AHC = 1.84467440737095E+19
    X02BBC = 2147483647
    X02BEC = 15
    X02DAC = Nag_TRUE

5. Documentation

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

The Library Manual is supplied in the following formats:

The following main index files have been provided for these formats:

Use your web browser to navigate from here.

Advice on viewing and navigating the formats available can be found in the Online Documentation document.

In addition the following are provided:

6. Support from NAG

(a) Contact with NAG

Queries concerning this document or the implementation generally should be directed to NAG at one of the addresses given in the Appendix. Users subscribing to the support service are encouraged to contact one of the NAG Response Centres (see below).

(b) NAG Response Centres

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 or account no and NAG product code (in this case CLSA309DCL).

(c) NAG Websites

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:,, or

(d) NAG Electronic Newsletter

If you would like to be kept up to date with news from NAG then please register to receive our free electronic newsletter, which will alert you to announcements about new products or product/service enhancements, technical tips, customer stories and NAG's event diary. You can register via one of our websites, or by contacting us at

(e) Product Registration

To ensure that you receive information on updates and other relevant announcements, please register this product with us. For NAG Library products this may be accomplished by filling in the online registration form at

7. User Feedback

Many factors influence the way that NAG's products and services evolve, and your ideas are invaluable in helping us to ensure that we meet your needs. If you would like to contribute to this process, we would be delighted to receive your comments. Please contact any of the NAG Response Centres (shown below).

Appendix - Contact Addresses

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OXFORD  OX2 8DR                         NAG Ltd Response Centre
United Kingdom                          email:

Tel: +44 (0)1865 511245                 Tel: +44 (0)1865 311744
Fax: +44 (0)1865 310139                 Fax: +44 (0)1865 310139

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Suite 185
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USA                                     email:

Tel: +1 630 971 2337                    Tel: +1 630 971 2337
Fax: +1 630 971 2706                    Fax: +1 630 971 2706

Nihon NAG KK
Hatchobori Frontier Building 2F
Tokyo 104-0032                          Nihon NAG Response Centre
Japan                                   email:

Tel: +81 3 5542 6311                    Tel: +81 3 5542 6311
Fax: +81 3 5542 6312                    Fax: +81 3 5542 6312

NAG Taiwan Branch Office
5F.-5, No.36, Sec.3
Minsheng E. Rd.
Taipei City 10480                       NAG Taiwan Response Centre
Taiwan                                  email:

Tel: +886 2 25093288                    Tel: +886 2 25093288
Fax: +886 2 25091798                    Fax: +886 2 25091798