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.
c:\Program Files\NAG\FL21\flw3221ddlIf this folder does not exist, please consult with the system manager (or the person who did the installation).
We also assume that the default shortcut for the command prompt is placed in the Start Menu under:
Start|Programs|NAG|FL21|
If this shortcut does not exist, please consult with the system manager (or the person who did the installation).
The shortcut:
Start|Programs|NAG|FL21|NAG Fortran Library - Compaq Visual Fortran compiler. Command Promptmay be used to start a command prompt window with the correct settings for the INCLUDE, LIB and PATH environment variables for the Library and the supplied MKL.
If the shortcut is not used, you can set the environment variables by running the batch file envvars.bat for this implementation. The default location of this file is:
c:\Program Files\NAG\FL21\flw3221ddl\batch\envvars.batIf the file is not in the default location, you can locate it by searching for the file envvars.bat containing flw3221ddl.
You may then compile and link to the NAG Fortran Library on the command line using one of the following commands:
f90 driver.f nag_mkl.lib mkl_s.lib libguide.lib f90 driver.f nag_nag.libwhere driver.f is your application program. The order of the libraries in the first command is important because certain parts of the MKL should not be used (see Section 4).
The first command will use the library without the NAG version of the BLAS/LAPACK procedures (nag_mkl.lib) with the MKL libraries mkl_s.lib and libguide.lib.
The second command will use the library with the NAG version of the BLAS/LAPACK procedures (nag_nag.lib).
In the case where more than one library is used, you could simplify the command line by using the librarian to combine the libraries into a single library. For example you could use:
lib /out:my_nag_mkl.lib nag_mkl.lib mkl_s.lib libguide.lib(as mentioned before the order of the libraries is important because certain parts of the MKL should not be used (see Section 4)), you can then replace the first command with:
f90 driver.f my_nag_mkl.libPlease note that the Compaq Visual Fortran compiler environment variables must be set in the command window. For more details refer to the User's Guide for the compiler.
The batch files need the environment variable NAG_FLW3221DDL.
As mentioned in Section 3.1.1, the installation procedure provides a shortcut which starts a Command Prompt with local environment variables. The environment variables include NAG_FLW3221DDL. This shortcut is placed in the Start Menu under
Start|Programs|NAG|FL21|NAG Fortran Library - Compaq Visual Fortran compiler. Command PromptIf the shortcut is not used, you need to set this environment variable. You can set this environment variable by running the batch file envvars.bat for this implementation. The default location of this file is:
c:\Program Files\NAG\FL21\flw3221ddl\batch\envvars.batIf the file is not in the default location, you can locate it by searching for the file envvars.bat containing flw3221ddl.
nag_example_mkl.bat will provide you with a copy of an example program (and its data, if any), compile the program and link it with the library nag_mkl.lib and the MKL. Finally, the executable program will be run. The example program concerned is specified by the argument to nag_example_mkl.bat, e.g.
nag_example_mkl f08fdfwill copy the example program and its data into the files f08fdfe.f and f08fdfe.d in the current folder and process them to produce the example program results in the file f08fdfe.r.
Alternatively you could use:
nag_example f08fdfThe difference between nag_example_mkl.bat and nag_example.bat is that while nag_example_mkl.bat uses the library nag_mkl.lib and the MKL libraries, nag_example.bat uses the self-contained library nag_nag.lib.
The example programs are supplied in machine-readable form. They are suitable for immediate usage. 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 library nag_nag.lib, (using the NAG BLAS and LAPACK routines). Running the examples with MKL 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.
(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).
If you use the shortcut or set the environment variables by running the batch file envvars.bat for this implementation (see Section 3.1.1), you can use any of the commands described in Section 3.1.1 to access these modules since the environment variable INCLUDE will be set.
In order to make use of these modules from existing Fortran 77 code, the following changes need to be made:
The above steps need to be done for each unit (main program, function or subroutine) in your code.
These changes are illustrated by showing the conversion of the Fortran 77 version of the example program for NAG Fortran Library routine D01DAF. 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.
* D01DAF Example Program Text ***************************************************** * Add USE statements for relevant chapters * USE NAG_F77_D_CHAPTER * * ***************************************************** * .. Parameters .. INTEGER NOUT PARAMETER (NOUT=6) * .. Local Scalars .. DOUBLE PRECISION ABSACC, ANS, YA, YB INTEGER IFAIL, NPTS * .. External Functions .. DOUBLE PRECISION FA, FB, P1, P2A, P2B EXTERNAL FA, FB, P1, P2A, P2B * .. External Subroutines .. ****************************************************** * EXTERNAL declarations need to be removed. * C EXTERNAL D01DAF * * ****************************************************** * .. Executable Statements .. WRITE (NOUT,*) 'D01DAF Example Program Results' YA = 0.0D0 YB = 1.0D0 ABSACC = 1.0D-6 WRITE (NOUT,*) WRITE (NOUT,*) 'First formulation' IFAIL = 1 * CALL D01DAF(YA,YB,P1,P2A,FA,ABSACC,ANS,NPTS,IFAIL) * WRITE (NOUT,99999) 'Integral =', ANS WRITE (NOUT,99998) 'Number of function evaluations =', NPTS IF (IFAIL.GT.0) WRITE (NOUT,99997) 'IFAIL = ', IFAIL WRITE (NOUT,*) WRITE (NOUT,*) 'Second formulation' IFAIL = 1 * CALL D01DAF(YA,YB,P1,P2B,FB,ABSACC,ANS,NPTS,IFAIL) * WRITE (NOUT,99999) 'Integral =', ANS WRITE (NOUT,99998) 'Number of function evaluations =', NPTS IF (IFAIL.GT.0) WRITE (NOUT,99997) 'IFAIL = ', IFAIL STOP * 99999 FORMAT (1X,A,F9.4) 99998 FORMAT (1X,A,I5) 99997 FORMAT (1X,A,I2) END * DOUBLE PRECISION FUNCTION P1(Y) * .. Scalar Arguments .. DOUBLE PRECISION Y * .. Executable Statements .. P1 = 0.0D0 RETURN END * DOUBLE PRECISION FUNCTION P2A(Y) * .. Scalar Arguments .. DOUBLE PRECISION Y * .. Intrinsic Functions .. INTRINSIC SQRT * .. Executable Statements .. P2A = SQRT(1.0D0-Y*Y) RETURN END * DOUBLE PRECISION FUNCTION FA(X,Y) * .. Scalar Arguments .. DOUBLE PRECISION X, Y * .. Executable Statements .. FA = X + Y RETURN END * DOUBLE PRECISION FUNCTION P2B(Y) ***************************************************** * Add USE statements for relevant chapters * USE NAG_F77_X_CHAPTER * * ***************************************************** * .. Scalar Arguments .. DOUBLE PRECISION Y * .. External Functions .. ****************************************************** * Function Type declarations need to be removed. * C DOUBLE PRECISION X01AAF * * ****************************************************** ****************************************************** * EXTERNAL declarations need to be removed. * C EXTERNAL X01AAF * * ****************************************************** * .. Executable Statements .. P2B = 0.5D0*X01AAF(0.0D0) RETURN END * DOUBLE PRECISION FUNCTION FB(X,Y) * .. Scalar Arguments .. DOUBLE PRECISION X, Y * .. Intrinsic Functions .. INTRINSIC COS, SIN * .. Executable Statements .. FB = Y*Y*(COS(X)+SIN(X)) RETURN END
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 library nag_mkl.lib to avoid problems with the vendor version:
DBDSQR DDOT DSYGV DSYGVX ZBDSQR
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
X01AAF (PI) = 3.1415926535897932D+00 X01ABF (GAMMA) = 0.5772156649015329D+00
X02BHF = 2 X02BJF = 53 X02BKF = -1021 X02BLF = 1024 X02DJF = .TRUE.Derived parameters of the floating-point arithmetic
X02AJF = 1.11022302462516D-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.
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 manual folder (either installed locally or on the distribution CD). The introductory material is also provided as HTML files in the manual folder.
A main index file has been provided (manual/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:
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