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
If you intend to use the NAG library within a multithreaded application please refer to the document on Thread Safety.
The libraries supplied with this implementation have been compiled in a manner that facilitates the use of multiple threads.
You can link to the NAG Fortran Library in the following manner:
f77 -dalign driver.f -L/apps/NAG/flsol20dal -lnag -lsocket -lnsl -lintlwhere driver.f is your application program.
Alternatively, because
f77 -dalign driver.f -L/apps/NAG/flsol20dal \ -lnag-spl -xlic_lib=sunperf -lsocket -lnsl -lintl
if you are developing a multithreaded application, you should include the
f77 -dalign -mt driver.f -L/apps/NAG/flsol20dal \ -lnag -lsocket -lnsl -lintl f77 -dalign -mt driver.f -L/apps/NAG/flsol20dal \ -lnag-spl -xlic_lib=sunperf -lsocket -lnsl -lintlN.B. The
Except for the two routines X04ACF and X04ADF, the libraries in this
implementation are compatible with Sun Fortran 90/95, provided that the f90/95
compiler is called with the flag
nagexample c06eafwill copy the example program and its data into the files c06eafe.f and c06eafe.d in the current directory and process them to produce the example program results.
In the NAG Fortran Library Manual, routine documents that have been typeset since Mark 12 present the example programs in a generalised form, using bold italicised terms as described in Section 3.3.
In other routine documents, the example programs are in single precision and require modification for use with double precision routines. This conversion can entail:
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 routines. Running the examples with the shared library or non-NAG BLAS or LAPACK may give slightly different results.
real - DOUBLE PRECISION (REAL*8) basic precision - double precision complex - COMPLEX*16 additional precision - quadruple precision (REAL*16) machine precision - the machine precision, see the value returned by X02AJF in Section 4
Thus a parameter described as real 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.
In routine documents that have been newly typeset since Mark 12 additional bold italicised terms are used in the published example programs and they must be interpreted as follows:
real as an intrinsic function name - DBLE imag - DIMAG cmplx - DCMPLX conjg - DCONJG e in constants, e.g. 1.0e-4 - D, e.g. 1.0D-4 e in formats, e.g. e12.4 - D, e.g. D12.4
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 LAPACK name is precision dependent, and hence the name appears in a bold italicised typeface.
The typeset examples use the single precision form of the LAPACK name. To
convert this name to its double precision form, change the first character
either from S to D or C to Z as appropriate.
For example:
sgetrf refers to the LAPACK routine name - DGETRF cpotrs - ZPOTRS
(a) Subroutines are called as such
(b) Functions are declared with the right type
(c) The correct number of arguments are passed
(d) All arguments match in type and structure
These interface blocks have been generated automatically by analysing the source code for the NAG Fortran Library. As a consequence, and because these files have been thoroughly tested, their use is recommended in preference to writing your own declarations.
The NAG Fortran Library Interface Block files are organised by Library chapter. The module names are:
nag_f77_a_chapter nag_f77_c_chapter nag_f77_d_chapter nag_f77_e_chapter nag_f77_f_chapter nag_f77_g_chapter nag_f77_h_chapter nag_f77_m_chapter nag_f77_p_chapter nag_f77_s_chapter nag_f77_x_chapterThese are supplied in pre-compiled form (.mod files) and they can be accessed by specifying the
In order to make use of these modules from existing Fortran 77 code the following changes need to be made:
These changes are illustrated by showing the conversion of the Fortran 77 version of the example program for NAG Fortran Library routine S18DEF. Please note that this is not exactly the same as the example program that is distributed with this implementation. Each change is surrounded by comments boxed with asterisks.
* S18DEF Example Program Text * Mark 14 Revised. NAG Copyright 1989. ******************************************************************* * Add USE statement for relevant chapters * USE NAG_F77_S_CHAPTER * * ******************************************************************* * .. Parameters .. INTEGER NIN, NOUT PARAMETER (NIN=5,NOUT=6) INTEGER N PARAMETER (N=2) * .. Local Scalars .. COMPLEX*16 Z DOUBLE PRECISION FNU INTEGER IFAIL, NZ CHARACTER*1 SCALE * .. Local Arrays .. COMPLEX*16 CY(N) * .. External Subroutines .. ******************************************************************* * EXTERNAL declarations need to be removed (and type declarations * * for functions). * C EXTERNAL S18DEF * * ******************************************************************* * .. Executable Statements .. WRITE (NOUT,*) 'S18DEF Example Program Results' * Skip heading in data file READ (NIN,*) WRITE (NOUT,*) WRITE (NOUT,99999) 'Calling with N =', N WRITE (NOUT,*) WRITE (NOUT,*) +' FNU Z SCALE CY(1) CY(2) + NZ IFAIL' WRITE (NOUT,*) 20 READ (NIN,*,END=40) FNU, Z, SCALE IFAIL = 0 * CALL S18DEF(FNU,Z,N,SCALE,CY,NZ,IFAIL) * WRITE (NOUT,99998) FNU, Z, SCALE, CY(1), CY(2), NZ, IFAIL GO TO 20 40 STOP * 99999 FORMAT (1X,A,I2) 99998 FORMAT (1X,F7.4,' (',F7.3,',',F7.3,') ',A, + 2(' (',F7.3,',',F7.3,')'),I4,I4) END
The example program for D03RAF has been changed to accommodate a stacksize of 8 Mb by setting the value of NPTS to 4500 in the second problem.
DNRM2 DDOTI DAXPYI DGTHR DGTHRZ DSCTR DROTI ZDOTUI ZDOTCI ZAXPYI ZGTHR ZGTHRZ ZSCTRThe example programs for F08XEF, F08XSF, F08YKF and F08YXF have been changed to allow them to be used with pre-LAPACK 3 Sun Performance Libraries, such as those supplied with f77 v4.2 and v5.0. The change may be reversed by uncommenting the workspace query call.
S07AAF F(1) = 1.0D+13 F(2) = 1.0D-14 S10AAF E(1) = 18.50 S10ABF E(1) = 708.0 S10ACF E(1) = 708.0 S13AAF x(hi) = 708.3 S13ACF x(hi) = 1.0D+16 S13ADF x(hi) = 1.0D+17 S14AAF IFAIL = 1 if X > 170.0 IFAIL = 2 if X < -170.0 IFAIL = 3 if abs(X) < 2.23D-308 S14ABF IFAIL = 2 if X > 2.55D+305 S15ADF x(hi) = 26.6 x(low) = -6.25 S15AEF x(hi) = 6.25 S17ACF IFAIL = 1 if X > 1.0D+16 S17ADF IFAIL = 1 if X > 1.0D+16 IFAIL = 3 if 0.0 < 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 > 103.8 IFAIL = 2 if X < -5.6D+10 S17AHF IFAIL = 1 if X > 104.1 IFAIL = 2 if X < -5.6D+10 S17AJF IFAIL = 1 if X > 104.1 IFAIL = 2 if X < -1.8D+9 S17AKF IFAIL = 1 if X > 104.1 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) > 700.0 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 0.0 < X <= 2.23D-308 S18AEF IFAIL = 1 if abs(X) > 711.6 S18AFF IFAIL = 1 if abs(X) > 711.6 S18CDF IFAIL = 2 if 0.0 < 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) > 700.0 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) >= 49.50 S19ABF IFAIL = 1 if abs(x) >= 49.50 S19ACF IFAIL = 1 if X > 997.26 S19ADF IFAIL = 1 if X > 997.26 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
X01AAF (PI) = 3.1415926535897932 X01ABF (GAMMA) = 0.5772156649015329
The basic parameters of the model
X02BHF = 2 X02BJF = 53 X02BKF = -1021 X02BLF = 1024 X02DJF = .TRUE.Derived parameters of the floating-point arithmetic
X02AJF = Z'3CA0000000000001' ( 1.11022302462516D-16 ) X02AKF = Z'0010000000000000' ( 2.22507385850721D-308 ) X02ALF = Z'7FEFFFFFFFFFFFFF' ( 1.79769313486231D+308 ) X02AMF = Z'0010000000000000' ( 2.22507385850721D-308 ) X02ANF = Z'0010000000000000' ( 2.22507385850721D-308 )Parameters of other aspects of the computing environment
X02AHF = Z'4950000000000000' ( 1.42724769270596D+45 ) X02BBF = 2147483647 X02BEF = 15 X02DAF = .FALSE.
This implementation is compatible with Sun Fortran 90/95 except for the
two routines X04ACF and X04ADF, provided that the f90/95 compiler is called
with the flag
A full on-line 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 directory. The introductory material is also provided as HTML files in the NAGdoc directory.
A main index file has been provided (NAGdoc/fl/html/mark20.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 in the doc directory:
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