NAG C Library, Mark 7

CLSOL07DAL - License Managed

Sun SPARC Solaris

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 C Library Manual and Introductory Guide. Wherever those manuals refer 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) Function Document

2. Availability of Functions

All functions listed in the chapter contents documents of the NAG C Library Manual, Mark 7 are available in this implementation. At Mark 7, 397 new primary ("user-callable") functions have been introduced. Please consult Mark 7 News (see Section 5) for lists of these functions and for a list of functions scheduled for withdrawal at future Marks. Your suggestions for new algorithms for future releases of the Library are welcomed (see Section 7).

3. General Information

3.1. Accessing the Library

The library location for the NAG C library is: /apps/NAG/clsol07dal
The include files are located at: /apps/NAG/clsol07dal/include
You can link to the NAG C Library in the following manner:

cc -dalign -mt -I/apps/NAG/clsol07dal/include driver.c \
  -L/apps/NAG/clsol07dal \
  -R/apps/NAG/clsol07dal -lnagc -lpthread -lm -lsunmath -lsocket -lnsl -lintl
The use of the -L and -R options in the compilation command can be avoided if the environment variable LD_LIBRARY_PATH is set as follows:
setenv LD_LIBRARY_PATH /apps/NAG/clsol07dal
(see the man page for ld(1) for more information about LD_LIBRARY_PATH).

Note that the NAG C Library is supplied in both static and shareable versions (libnagc.a and respectively), and also that should have a link to it called in the same directory. By default the compilation command given above will link to the shareable version of the library,, if that exists in the same directory as libnagc.a. To force linking with the static library, use the compiler flags -Bstatic and -Bdynamic, e.g.

cc -dalign -mt -I/apps/NAG/clsol07dal/include driver.c \
  -L/apps/NAG/clsol07dal \
  -Bstatic -lnagc -Bdynamic -lpthread -lm -lsunmath -lsocket -lnsl -lintl
or alternatively insert the name of the static library explicitly on the command line, e.g.
cc -dalign -mt -I/apps/NAG/clsol07dal/include driver.c \
  /apps/NAG/clsol07dal/libnagc.a \
  -lpthread -lm -lsunmath -lsocket -lnsl -lintl

3.2. Example Programs

The example programs are most easily accessed by the command nagexample, which will provide you with a copy of an example program (and its data, if any), compile the program and link it with the library (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 nagexample, which should be the (short) name of a NAG C Library function, e.g.
./nagexample c06eac
will copy the example program and its data into the files c06eace.c and c06eace.d in the current directory and process them to produce the example program results.

The example programs supplied to a site in machine-readable form have been modified as necessary so that 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 static library, using the NAG BLAS and LAPACK functions. Running the examples with the shared library or non-NAG BLAS or LAPACK may give slightly different results.

4. Function-specific Information

Any further information which applies to one or more functions in this implementation is listed below, chapter by chapter.

(a) f06, f07, f08 and f16

In the libnagc-spl.a and libraries, calls to the Basic Linear Algebra Subprograms (BLAS) and linear algebra routines (LAPACK) are implemented by calls to the Sun Performance Library except for the following functions:

(b) 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)      = 18.500
s10abc  fail.code = NE_REAL_ARG_GT if X > 708.0
s10acc  fail.code = NE_REAL_ARG_GT if X > 708.0

s13aac  X(hi)     = 708.3
s13acc  X(hi)     = 1.0e+16
s13adc  X(hi)     = 1.0e+17

s14aac  fail.code = NE_REAL_ARG_GT if X > 170.
        fail.code = NE_REAL_ARG_LT if X < -170.
        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 > 103.8
        fail.code = NE_REAL_ARG_LT if X < -5.6e+10
s17ahc  fail.code = NE_REAL_ARG_GT if X > 104.1
        fail.code = NE_REAL_ARG_LT if X < -5.6e+10
s17ajc  fail.code = NE_REAL_ARG_GT if X > 104.1
        fail.code = NE_REAL_ARG_LT if X < -1.8e+9
s17akc  fail.code = NE_REAL_ARG_GT if X > 104.1
        fail.code = NE_REAL_ARG_LT if X < -1.8e+9

s18adc  fail.code = NE_REAL_ARG_TOO_SMALL if 0.0 < X <= 2.23e-308
s18aec  fail.code = NE_REAL_ARG_GT if ABS(X) > 711.6
s18afc  fail.code = NE_REAL_ARG_GT if ABS(X) > 711.6
s18cdc  fail.code = NE_REAL_ARG_TOO_SMALL if 0.0 < X <= 2.23e-308

s19aac  fail.code = NE_REAL_ARG_GT if ABS(X) >= 49.5000
s19abc  fail.code = NE_REAL_ARG_GT if ABS(X) >= 49.5000
s19acc  fail.code = NE_REAL_ARG_GT if X > 997.26
s19adc  fail.code = NE_REAL_ARG_GT if X > 997.26

s21bcc  fail.code = NE_REAL_ARG_LT if an argument < 1.579e-205
        fail.code = NE_REAL_ARG_GE if an argument >= 3.774e+202
s21bdc  fail.code = NE_REAL_ARG_LT if an argument < 2.820e-103
        fail.code = NE_REAL_ARG_GT if an argument > 1.404e+102

(c) x01

The values of the mathematical constants are provided in the header file nagx01.h:
X01AAC (pi)    = 3.1415926535897932
X01ABC (gamma) = 0.5772156649015329

(d) x02

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

The basic parameters of the model

X02BHC = 2
X02BJC = 53
X02BKC = -1021
X02BLC = 1024
Derived parameters of the floating-point arithmetic
X02AJC = 0x000000013ca00000 ( 1.11022302462516e-16 )
X02AKC = 0x0000000000100000 ( 2.22507385850721e-308 )
X02ALC = 0xffffffff7fefffff ( 1.79769313486231e+308 )
X02AMC = 0x0000000000100000 ( 2.22507385850721e-308 )
X02ANC = 0x0000000000100000 ( 2.22507385850721e-308 )
Parameters of other aspects of the computing environment
X02AHC = 0x0000000049500000 ( 1.42724769270596e+45 )
X02BBC = 2147483647
X02BEC = 15

5. Documentation

Each supported NAG C Library site is ordinarily provided with a printed copy of the NAG C Library Introductory Guide. Additional documentation is available for purchase; please refer to the NAG websites or contact your local NAG Response Centre for current prices (see Section 6).

A full online version of the NAG C Library Manual is supplied in the form of Portable Document Format (PDF) files, with an HTML index, in the NAGdoc directory. The introductory material is also provided as HTML files in the NAGdoc directory.

A main index file has been provided (NAGdoc/cl/html/mark7.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.

6. Support from NAG

(a) Contact with NAG

Queries concerning this document or the implementation generally should be directed initially to your local Advisory Service. If you have difficulty in making contact locally, you can contact NAG directly 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 and NAG product code (in this case CLSOL07DAL).

(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, (in North America) or (in Japan)

(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 special offers, announcements about new products or product/service enhancements, customer stories and NAG's event diary. You can register via one of our websites, or by contacting us at

7. User Feedback

Many factors influence the way 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 your local NAG Response Centre (shown below).

Appendix - Contact Addresses

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United Kingdom                          email:

Tel: +44 (0)1865 511245                 Tel: +44 (0)1865 311744
Fax: +44 (0)1865 310139                 Fax: +44 (0)1865 311755

1431 Opus Place, Suite 220
Downers Grove
IL 60515-1362                           NAG Inc Response Center
USA                                     email:

Tel: +1 630 971 2337                    Tel: +1 630 971 2345
Fax: +1 630 971 2706                    Fax: +1 630 971 2346

Schleissheimerstrasse 5
85748 Garching

Tel: +49 (0)89 320 7395
Fax: +49 (0)89 320 7396

Nihon NAG KK
Hatchobori Frontier Building 2F

Tel: +81 (0)3 5542 6311
Fax: +81 (0)3 5542 6312