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<html>
<head>
<title>
SUBPAK - A C++ Utility Library
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
SUBPAK <br> A C++ Utility Library
</h1>
<hr>
<p>
<b>SUBPAK</b>
is a C++ library which
includes a number of utility routines.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>SUBPAK</b> is available in
<a href = "../../c_src/subpak/subpak.html">a C version</a> and
<a href = "../../cpp_src/subpak/subpak.html">a C++ version</a> and
<a href = "../../f77_src/subpak/subpak.html">a FORTRAN77 version</a> and
<a href = "../../f_src/subpak/subpak.html">a FORTRAN90 version</a> and
<a href = "../../m_src/subpak/subpak.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Programs:
</h3>
<p>
<a href = "../../cpp_src/c4lib/c4lib.html">
C4LIB</a>,
a C++ library which
implements certain elementary functions for "C4"
or single precision complex variables;
</p>
<p>
<a href = "../../cpp_src/c8lib/c8lib.html">
C8LIB</a>,
a C++ library which
implements certain elementary functions for "C8"
or double precision complex variables;
</p>
<p>
<a href = "../../cpp_src/cell/cell.html">
CELL</a>,
a C++ library which
defines a cell array, a generalization of an array which
can compactly store and retrieve vector or matrix data of
varying size, such as the rows of a triangular matrix.
</p>
<p>
<a href = "../../cpp_src/i4lib/i4lib.html">
I4LIB</a>,
a C++ library which
contains many utility routines, using "I4" or "single precision integer"
arithmetic.
</p>
<p>
<a href = "../../cpp_src/i8lib/i8lib.html">
I8LIB</a>,
a C++ library which
contains many utility routines, using "I8" or "double precision integer"
arithmetic.
</p>
<p>
<a href = "../../cpp_src/index/index.html">
INDEX</a>,
a C++ library which
converts a multidimensional vector index to a one-dimensional vector index;
it can handle zero and one based indexing schemes, as well as column major
and row major conventions.
</p>
<p>
<a href = "../../cpp_src/r4lib/r4lib.html">
R4LIB</a>,
a C++ library which
contains many utility routines, using "R4" or
"single precision real" arithmetic.
</p>
<p>
<a href = "../../cpp_src/r8lib/r8lib.html">
R8LIB</a>,
a C++ library which
contains many utility routines, using "R8" or
"double precision real" arithmetic.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Milton Abramowitz, Irene Stegun,<br>
Handbook of Mathematical Functions,<br>
National Bureau of Standards, 1964,<br>
ISBN: 0-486-61272-4,<br>
LC: QA47.A34.
</li>
<li>
Book Industry Study Group,<br>
The Evolution in Product Identification:
Sunrise 2005 and the ISBN-13,<br>
<a href = "http://www.bisg.org/docs/The_Evolution_in_Product_ID.pdf">
http://www.bisg.org/docs/The_Evolution_in_Product_ID.pdf</a>
</li>
<li>
Thomas Cormen, Charles Leiserson, Ronald Rivest,<br>
Introduction to Algorithms,<br>
MIT Press, 2001,<br>
ISBN: 0262032937,<br>
LC: QA76.C662.
</li>
<li>
Donald Kreher, Douglas Simpson,<br>
Combinatorial Algorithms,<br>
CRC Press, 1998,<br>
ISBN: 0-8493-3988-X,<br>
LC: QA164.K73.
</li>
<li>
Albert Nijenhuis, Herbert Wilf,<br>
Combinatorial Algorithms for Computers and Calculators,<br>
Second Edition,<br>
Academic Press, 1978,<br>
ISBN: 0-12-519260-6,<br>
LC: QA164.N54.
</li>
<li>
Branch Rickey,<br>
Goodby to Some Old Baseball Ideas,<br>
Life Magazine,<br>
2 August 1954.
</li>
<li>
Alan Schwarz,<br>
Looking Beyond the Batting Average,<br>
The New York Times, <br>
Sunday, 1 August 2004.
</li>
<li>
Daniel Zwillinger, editor,<br>
CRC Standard Mathematical Tables and Formulae,<br>
30th Edition,<br>
CRC Press, 1996,<br>
ISBN: 0-8493-2479-3,<br>
LC: QA47.M315.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "subpak.cpp">subpak.cpp</a>, the source code;
</li>
<li>
<a href = "subpak.hpp">subpak.hpp</a>, the include file.
</li>
<li>
<a href = "subpak.sh">subpak.sh</a>,
commands to compile the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "subpak_prb.cpp">subpak_prb.cpp</a>, the calling program;
</li>
<li>
<a href = "subpak_prb.sh">subpak_prb.sh</a>,
commands to compile, link and run the calling program;
</li>
<li>
<a href = "subpak_prb_output.txt">subpak_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ANGLE_SHIFT</b> shifts angle ALPHA to lie between BETA and BETA+2PI.
</li>
<li>
<b>ANGLE_SHIFT_DEG</b> shifts angle ALPHA to lie between BETA and BETA+360.
</li>
<li>
<b>ANGLE_TO_RGB</b> returns a color on the perimeter of the color hexagon.
</li>
<li>
<b>AXIS_LIMITS</b> returns "nice" axis limits for a plot.
</li>
<li>
<b>BAR_CHECK</b> computes the check digit for a barcode.
</li>
<li>
<b>BAR_CODE</b> constructs the 113 character barcode from 11 digits.
</li>
<li>
<b>BAR_DIGIT_CODE_LEFT</b> returns the 7 character left bar code for a digit.
</li>
<li>
<b>BAR_DIGIT_CODE_RIGHT</b> returns the 7 character right bar code for a digit.
</li>
<li>
<b>BMI_ENGLISH</b> computes the body mass index given English measurements.
</li>
<li>
<b>BMI_METRIC</b> computes the body mass index given metric measurements.
</li>
<li>
<b>C8_ARGUMENT</b> returns the argument of a C8.
</li>
<li>
<b>C8_MAGNITUDE</b> returns the magnitude of a C8.
</li>
<li>
<b>C8_SQRT</b> returns the principal square root of a C8.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is true if two characters are equal, disregarding case.
</li>
<li>
<b>CH_IS_DIGIT</b> returns TRUE if a character is a decimal digit.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>CHARSTAR_LEN_TRIM</b> returns the length of a CHAR* to the last nonblank.
</li>
<li>
<b>DEGREES_TO_RADIANS</b> converts an angle measure from degrees to radians.
</li>
<li>
<b>E_CONSTANT</b> returns the value of E.
</li>
<li>
<b>EULER_CONSTANT</b> returns the value of the Euler-Mascheroni constant.
</li>
<li>
<b>FAC_DIV</b> divides two quantities represented as prime factors.
</li>
<li>
<b>FAC_GCD</b> finds the GCD of two products of prime factors.
</li>
<li>
<b>FAC_LCM</b> finds the LCM of two products of prime factors.
</li>
<li>
<b>FAC_MUL</b> multiplies two quantities represented as prime factors.
</li>
<li>
<b>FAC_PRINT</b> prints a product of prime factors.
</li>
<li>
<b>FAC_TO_I4</b> converts a product of prime factors into an I4.
</li>
<li>
<b>FAC_TO_RAT</b> converts a prime factorization into a rational value.
</li>
<li>
<b>FEET_TO_METERS</b> converts a measurement in feet to meters.
</li>
<li>
<b>GAUSS_SUM</b> evaluates a function that is the sum of Gaussians.
</li>
<li>
<b>GET_SEED</b> returns a random seed for the random number generator.
</li>
<li>
<b>GRID1</b> finds grid points between X1 and X2 in N dimensions.
</li>
<li>
<b>GRID1N</b> finds the I-th grid point between X1 and X2 in N dimensions.
</li>
<li>
<b>GRID2</b> computes grid points between X1 and X2 in N dimensions.
</li>
<li>
<b>GRID2N</b> computes one grid point between X1 and X2 in N dimensions.
</li>
<li>
<b>GRID3</b> computes a grid on the parallelogram set by X1, X2 and X3 in N space.
</li>
<li>
<b>GRID3N</b> computes a parallelogram grid on 3 points in N dimensions.
</li>
<li>
<b>GRID4</b> computes a grid on the parallelogram set by X1, X2 and X3 in N space.
</li>
<li>
<b>GRID4N</b> computes a single point on a parallelogram grid in N space.
</li>
<li>
<b>I2_REVERSE_BYTES</b> reverses the two bytes in an I2.
</li>
<li>
<b>I4_LOG_10</b> returns the integer part of the logarithm base 10 of an I4.
</li>
<li>
<b>I4_MAX</b> returns the maximum of two I4's.
</li>
<li>
<b>I4_MIN</b> returns the minimum of two I4's.
</li>
<li>
<b>I4_MODP</b> returns the nonnegative remainder of I4 division.
</li>
<li>
<b>I4_POWER</b> returns the value of I^J.
</li>
<li>
<b>I4_SIGN</b> returns the sign of an I4.
</li>
<li>
<b>I4_SWAP</b> switches two I4's.
</li>
<li>
<b>I4_TO_DIGITS_DECIMAL</b> determines the last N decimal digits of an I4.
</li>
<li>
<b>I4_TO_FAC</b> converts an I4 into a product of prime factors.
</li>
<li>
<b>I4_TO_ISBN</b> converts an I4 to an ISBN digit.
</li>
<li>
<b>I4_UNIFORM</b> returns a scaled pseudorandom I4.
</li>
<li>
<b>I4INT_TO_R8INT</b> maps an I4 interval to an R8 interval.
</li>
<li>
<b>I4VEC_COPY</b> copies an I4VEC.
</li>
<li>
<b>I4VEC_INDICATOR_NEW</b> sets an I4VEC to the indicator vector.
</li>
<li>
<b>I4VEC_MIN</b> returns the value of the minimum element in an I4VEC.
</li>
<li>
<b>I4VEC_PERMUTE</b> permutes an I4VEC in place.
</li>
<li>
<b>I4VEC_PRINT</b> prints an I4VEC.
</li>
<li>
<b>I4VEC_SUM</b> sums the entries of an I4VEC.
</li>
<li>
<b>I4VEC_ZERO</b> zeroes an I4VEC.
</li>
<li>
<b>I4VEC_ZERO_NEW</b> creates and zeroes an I4VEC.
</li>
<li>
<b>IJ_NEXT</b> returns the next matrix index.
</li>
<li>
<b>IJ_NEXT_GT</b> returns the next matrix index, with the constraint that I < J.
</li>
<li>
<b>INDEX_BOX2_NEXT_2D</b> produces indices on the surface of a box in 2D.
</li>
<li>
<b>INDEX_BOX2_NEXT_3D</b> produces indices on the surface of a box in 3D.
</li>
<li>
<b>INDEX1_COL</b> indexes a 1D vector by columns.
</li>
<li>
<b>INDEX1_ROW</b> indexes a 1D vector by rows.
</li>
<li>
<b>INDEX2_COL</b> indexes a 2D array by columns.
</li>
<li>
<b>INDEX2_ROW</b> indexes a 2D array by row.
</li>
<li>
<b>INDEX3_COL</b> indexes a 3D array by columns.
</li>
<li>
<b>INDEX3_ROW</b> indexes a 3D array by rows.
</li>
<li>
<b>INDEX4_COL</b> indexes a 4D array by columns.
</li>
<li>
<b>INDEX4_ROW</b> indexes a 4D array by rows.
</li>
<li>
<b>INDEXN_COL</b> indexes an ND array by columns.
</li>
<li>
<b>INDEXN_ROW</b> indexes an ND array by rows.
</li>
<li>
<b>ISBN_CHECK</b> checks an ISBN code.
</li>
<li>
<b>ISBN_FILL</b> fills in a missing digit in an ISBN code.
</li>
<li>
<b>ISBN_TO_I4</b> converts an ISBN character into an I4.
</li>
<li>
<b>ISET2_COMPARE</b> compares two I2 sets.
</li>
<li>
<b>LCM_12N</b> computes the least common multiple of the integers 1 through N.
</li>
<li>
<b>LMAT_PRINT</b> prints an LMAT.
</li>
<li>
<b>LMAT_PRINT_SOME</b> prints some of an LMAT.
</li>
<li>
<b>LMAT_TRANSPOSE_PRINT</b> prints an LMAT, transposed.
</li>
<li>
<b>LMAT_TRANSPOSE_PRINT_SOME</b> prints some of an LMAT, transposed.
</li>
<li>
<b>LUHN_CHECK</b> computes the Luhn checksum for a string of digits.
</li>
<li>
<b>LVEC_PRINT</b> prints a logical vector.
</li>
<li>
<b>PAUSE_INPUT</b> waits until an input character is entered.
</li>
<li>
<b>PAUSE_SECONDS</b> waits a specified number of seconds.
</li>
<li>
<b>PERM_CHECK</b> checks that a vector represents a permutation.
</li>
<li>
<b>PERM_CYCLE</b> analyzes a permutation.
</li>
<li>
<b>PERM_FREE</b> reports the number of unused items in a partial permutation.
</li>
<li>
<b>PERM_INVERSE</b> inverts a permutation "in place".
</li>
<li>
<b>PERM_PRINT</b> prints a permutation.
</li>
<li>
<b>PERM_UNIFORM_NEW</b> selects a random permutation of N objects.
</li>
<li>
<b>POUNDS_TO_KILOGRAMS</b> converts a measurement in pounds to kilograms.
</li>
<li>
<b>PRIME</b> returns any of the first PRIME_MAX prime numbers.
</li>
<li>
<b>PRIME_GE</b> returns the smallest prime greater than or equal to N.
</li>
<li>
<b>R4_NINT</b> returns the nearest integer to an R4.
</li>
<li>
<b>R8_ABS</b> returns the absolute value of an R8.
</li>
<li>
<b>R8_HUGE</b> returns a "huge" R8.
</li>
<li>
<b>R8_LOG_10</b> returns the logarithm base 10 of the absolute value of an R8.
</li>
<li>
<b>R8_MAX</b> returns the maximum of two R8's.
</li>
<li>
<b>R8_MODP</b> returns the nonnegative remainder of R8 division.
</li>
<li>
<b>R8_UNIFORM</b> returns a scaled pseudorandom R8.
</li>
<li>
<b>R8_UNIFORM_01</b> returns a unit pseudorandom R8.
</li>
<li>
<b>R8MAT_PRINT</b> prints an R8MAT.
</li>
<li>
<b>R8MAT_PRINT_SOME</b> prints some of an R8MAT.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT</b> prints an R8MAT, transposed.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT_SOME</b> prints some of an R8MAT, transposed.
</li>
<li>
<b>R8POLY_DEGREE</b> returns the degree of a polynomial.
</li>
<li>
<b>R8POLY_PRINT</b> prints out a polynomial.
</li>
<li>
<b>R8VEC_INDICATOR_NEW</b> sets an R8VEC to the indicator vector {1,2,3...}.
</li>
<li>
<b>R8VEC_MAX</b> returns the value of the maximum element in an R8VEC.
</li>
<li>
<b>R8VEC_MEAN</b> returns the mean of an R8VEC.
</li>
<li>
<b>R8VEC_MIN</b> returns the value of the minimum element in an R8VEC.
</li>
<li>
<b>R8VEC_PRINT</b> prints an R8VEC.
</li>
<li>
<b>R8VEC_VARIANCE</b> returns the variance of an R8VEC.
</li>
<li>
<b>R8VEC_ZERO_NEW</b> creates and zeroes an R8VEC.
</li>
<li>
<b>RADIANS_TO_DEGREES</b> converts an angle from radians to degrees.
</li>
<li>
<b>RAND_INITIALIZE</b> initializes the random number generator.
</li>
<li>
<b>RANDOM_INITIALIZE</b> initializes the RANDOM random number generator.
</li>
<li>
<b>RAT_FACTOR</b> factors a rational value into a product of prime factors.
</li>
<li>
<b>RICKEY</b> evaluates Branch Rickey's baseball index.
</li>
<li>
<b>ROOTS_TO_I4POLY</b> converts polynomial roots to polynomial coefficients.
</li>
<li>
<b>ROOTS_TO_R8POLY</b> converts polynomial roots to polynomial coefficients.
</li>
<li>
<b>S_EQI</b> reports whether two strings are equal, ignoring case.
</li>
<li>
<b>S_LEN_TRIM</b> returns the length of a string to the last nonblank.
</li>
<li>
<b>S_TO_I4</b> reads an integer value from a string.
</li>
<li>
<b>S_TO_I4VEC</b> reads an I4VEC from a string.
</li>
<li>
<b>S_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_TO_R8VEC</b> reads an R8VEC from a string.
</li>
<li>
<b>SORT_HEAP_EXTERNAL</b> externally sorts a list of items into ascending order.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TUPLE_NEXT2</b> computes the next element of an integer tuple space.
</li>
<li>
<b>TVEC_EVEN</b> computes an evenly spaced set of angles between 0 and 2*PI.
</li>
<li>
<b>TVEC_EVEN2</b> computes evenly spaced angles between 0 and 2*PI.
</li>
<li>
<b>TVEC_EVEN3</b> computes an evenly spaced set of angles between 0 and 2*PI.
</li>
<li>
<b>TVEC_EVEN_BRACKET</b> computes evenly spaced angles between THETA1 and THETA2.
</li>
<li>
<b>TVEC_EVEN_BRACKET2</b> computes evenly spaced angles from THETA1 to THETA2.
</li>
<li>
<b>TVEC_EVEN_BRACKET3</b> computes evenly spaced angles from THETA1 to THETA2.
</li>
<li>
<b>UPC_CHECK_DIGIT</b> returns the check digit of a UPC.
</li>
<li>
<b>VERSINE_PULSE</b> adds a versine pulse to a constant.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 03 November 2011.
</i>
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