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<html>
<head>
<title>
C4LIB - A Single Precision Complex Arithmetic Utility Library
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
C4LIB <br> A Single Precision Complex Arithmetic Utility Library
</h1>
<hr>
<p>
<b>C4LIB</b>
is a C++ library which
defines some elementary operations for "C4" or
"single precision complex" arithmetic.
</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>C4LIB</b> is available in
<a href = "../../c_src/c4lib/c4lib.html">a C version</a> and
<a href = "../../cpp_src/c4lib/c4lib.html">a C++ version</a> and
<a href = "../../f77_src/c4lib/c4lib.html">a FORTRAN77 version</a> and
<a href = "../../f_src/c4lib/c4lib.html">a FORTRAN90 version</a> and
<a href = "../../m_src/c4lib/c4lib.html">a MATLAB version</a> and
<a href = "../../py_src/c4lib/c4lib.html">a Python version</a>.
</p>
<h3 align = "center">
Related Programs:
</h3>
<p>
<a href = "../../cpp_src/c4_complex_lib/c4_complex_lib.html">
C4_COMPLEX_LIB</a>,
a C++ library which
defines a class called c4_complex for complex numbers with
single precision components.
</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/complex_numbers/complex_numbers.html">
COMPLEX_NUMBERS</a>,
a C++ program which
demonstrates some simple features involved in the use of
complex numbers in C programming.
</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/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>
<p>
<a href = "../../cpp_src/subpak/subpak.html">
SUBPAK</a>,
a C++ library which
contains many utility routines;
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "c4lib.cpp">c4lib.cpp</a>, the source code;
</li>
<li>
<a href = "c4lib.hpp">c4lib.hpp</a>, the include file.
</li>
<li>
<a href = "c4lib.sh">c4lib.sh</a>,
commands to compile the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "c4lib_prb.cpp">c4lib_prb.cpp</a>, the calling program;
</li>
<li>
<a href = "c4lib_prb.sh">c4lib_prb.sh</a>,
commands to compile, link and run the calling program;
</li>
<li>
<a href = "c4lib_prb_output.txt">c4lib_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>C4_ABS</b> returns the absolute value of a C4.
</li>
<li>
<b>C4_ACOS</b> evaluates the inverse cosine of a C4.
</li>
<li>
<b>C4_ACOSH</b> evaluates the inverse hyperbolic cosine of a C4.
</li>
<li>
<b>C4_ADD</b> adds two C4's.
</li>
<li>
<b>C4_ARG</b> returns the argument of a C4.
</li>
<li>
<b>C4_ASIN</b> evaluates the inverse sine of a C4.
</li>
<li>
<b>C4_ASINH</b> evaluates the inverse hyperbolic sine of a C4.
</li>
<li>
<b>C4_ATAN</b> evaluates the inverse tangent of a C4.
</li>
<li>
<b>C4_ATANH</b> evaluates the inverse hyperbolic tangent of a C4.
</li>
<li>
<b>C4_CONJ</b> conjugates a C4.
</li>
<li>
<b>C4_COPY</b> copies a C4.
</li>
<li>
<b>C4_COS</b> evaluates the cosine of a C4.
</li>
<li>
<b>C4_COSH</b> evaluates the hyperbolic cosine of a C4.
</li>
<li>
<b>C4_CUBE_ROOT</b> returns the principal cube root of a C4.
</li>
<li>
<b>C4_DIV</b> divides two C4's.
</li>
<li>
<b>C4_DIV_R4</b> divides a C4 by an R4.
</li>
<li>
<b>C4_EXP</b> exponentiates a C4.
</li>
<li>
<b>C4_I</b> returns the value of the imaginary unit, i as a C4.
</li>
<li>
<b>C4_IMAG</b> returns the imaginary part of a C4.
</li>
<li>
<b>C4_INV</b> inverts a C4.
</li>
<li>
<b>C4_LE_L1</b> := X <= Y for C4 values, and the L1 norm.
</li>
<li>
<b>C4_LE_L2</b> := X <= Y for C4 values, and the L2 norm.
</li>
<li>
<b>C4_LE_LI</b> := X <= Y for C4 values, and the L-oo norm.
</li>
<li>
<b>C4_LOG</b> evaluates the logarithm of a C4.
</li>
<li>
<b>C4_MAG</b> returns the magnitude of a C4.
</li>
<li>
<b>C4_MUL</b> multiplies two C4's.
</li>
<li>
<b>C4_NEG</b> negates a C4.
</li>
<li>
<b>C4_NINT</b> returns the nearest complex integer of a C4.
</li>
<li>
<b>C4_NORM_L1</b> evaluates the L1 norm of a C4.
</li>
<li>
<b>C4_NORM_L2</b> evaluates the L2 norm of a C4.
</li>
<li>
<b>C4_NORM_LI</b> evaluates the L-oo norm of a C4.
</li>
<li>
<b>C4_NORMAL_01</b> returns a unit pseudonormal C4.
</li>
<li>
<b>C4_ONE</b> returns the value of complex 1.
</li>
<li>
<b>C4_PRINT</b> prints a C4.
</li>
<li>
<b>C4_REAL</b> returns the real part of a C4.
</li>
<li>
<b>C4_SIN</b> evaluates the sine of a C4.
</li>
<li>
<b>C4_SINH</b> evaluates the hyperbolic sine of a C4.
</li>
<li>
<b>C4_SQRT</b> returns the principal square root of a C4.
</li>
<li>
<b>C4_SUB</b> subtracts two C4's.
</li>
<li>
<b>C4_SWAP</b> swaps two C4's.
</li>
<li>
<b>C4_TAN</b> evaluates the tangent of a C4.
</li>
<li>
<b>C4_TANH</b> evaluates the hyperbolic tangent of a C4.
</li>
<li>
<b>C4_TO_CARTESIAN</b> converts a C4 to Cartesian form.
</li>
<li>
<b>C4_TO_POLAR</b> converts a C4 to polar form.
</li>
<li>
<b>C4_UNIFORM_01</b> returns a unit pseudorandom C4.
</li>
<li>
<b>C4_ZERO</b> returns the value of 0 as a C4.
</li>
<li>
<b>C4MAT_ADD</b> combines two C4MAT's using complex scalar factors.
</li>
<li>
<b>C4MAT_ADD_R4</b> combines two C4MAT's using real scalar factors.
</li>
<li>
<b>C4MAT_COPY</b> copies one C4MAT to another.
</li>
<li>
<b>C4MAT_COPY_NEW</b> copies one C4MAT to a "new" C4MAT.
</li>
<li>
<b>C4MAT_FSS</b> factors and solves a system with multiple right hand sides.
</li>
<li>
<b>C4MAT_FSS_NEW</b> factors and solves a system with multiple right hand sides.
</li>
<li>
<b>C4MAT_IDENTITY_NEW</b> sets a C4MAT to the identity.
</li>
<li>
<b>C4MAT_INDICATOR_NEW</b> returns the C4MAT indicator matrix.
</li>
<li>
<b>C4MAT_MINVM</b> returns inverse(A) * B for C4MAT's.
</li>
<li>
<b>C4MAT_MINVM_NEW</b> returns inverse(A) * B for C4MAT's.
</li>
<li>
<b>C4MAT_MM</b> multiplies two matrices.
</li>
<li>
<b>C4MAT_MM_NEW</b> multiplies two matrices.
</li>
<li>
<b>C4MAT_NINT</b> rounds the entries of a C4MAT.
</li>
<li>
<b>C4MAT_NORM_FRO</b> returns the Frobenius norm of a C4MAT.
</li>
<li>
<b>C4MAT_NORM_L1</b> returns the matrix L1 norm of a C4MAT.
</li>
<li>
<b>C4MAT_NORM_LI</b> returns the matrix L-oo norm of a C4MAT.
</li>
<li>
<b>C4MAT_PRINT</b> prints a C4MAT.
</li>
<li>
<b>C4MAT_PRINT_SOME</b> prints some of a C4MAT.
</li>
<li>
<b>C4MAT_SCALE</b> scales a C4MAT by a complex scalar factor.
</li>
<li>
<b>C4MAT_SCALE_R4</b> scales a C4MAT by a real scalar factor.
</li>
<li>
<b>C4MAT_UNIFORM_01</b> returns a unit pseudorandom C4MAT.
</li>
<li>
<b>C4MAT_UNIFORM_01_NEW</b> returns a new unit pseudorandom C4MAT.
</li>
<li>
<b>C4MAT_ZERO_NEW</b> returns a new zeroed C4MAT.
</li>
<li>
<b>C4VEC_COPY</b> copies a C4VEC.
</li>
<li>
<b>C4VEC_COPY_NEW</b> copies a C4VEC to a "new" C4VEC.
</li>
<li>
<b>C4VEC_INDICATOR_NEW</b> sets a C4VEC to the indicator vector.
</li>
<li>
<b>C4VEC_NINT</b> rounds the entries of a C4VEC.
</li>
<li>
<b>C4VEC_NORM_L2</b> returns the L2 norm of a C4VEC.
</li>
<li>
<b>C4VEC_PRINT</b> prints a C4VEC.
</li>
<li>
<b>C4VEC_PRINT_PART</b> prints "part" of a C4VEC.
</li>
<li>
<b>C4VEC_PRINT_SOME</b> prints some of a C4VEC.
</li>
<li>
<b>C4VEC_SORT_A_L2</b> ascending sorts a C4VEC by L2 norm.
</li>
<li>
<b>C4VEC_SPIRAL</b> returns N points on a spiral between C1 and C2.
</li>
<li>
<b>C4VEC_UNIFORM_01</b> returns a unit pseudorandom C4VEC.
</li>
<li>
<b>C4VEC_UNIFORM_01_NEW</b> returns a unit pseudorandom C4VEC.
</li>
<li>
<b>C4VEC_UNITY</b> returns the N roots of unity in a C4VEC.
</li>
<li>
<b>CARTESIAN_TO_C4</b> converts a Cartesian form to a C4.
</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>POLAR_TO_C4</b> converts a polar form to a C4.
</li>
<li>
<b>R4_ABS</b> returns the absolute value of an R4.
</li>
<li>
<b>R4_CSQRT</b> returns the complex square root of an R4.
</li>
<li>
<b>R4_FLOOR</b> rounds an R4 "down" (towards -oo) to the next integer.
</li>
<li>
<b>R4_MAX</b> returns the maximum of two R4's.
</li>
<li>
<b>R4_NINT</b> returns the nearest integer to an R4.
</li>
<li>
<b>R4_SIGN</b> returns the sign of an R4.
</li>
<li>
<b>R4_UNIFORM_01</b> returns a unit pseudorandom R4.
</li>
<li>
<b>R4POLY2_ROOT</b> returns the two roots of a quadratic polynomial.
</li>
<li>
<b>R4POLY3_ROOT</b> returns the three roots of a cubic polynomial.
</li>
<li>
<b>R4POLY4_ROOT</b> returns the four roots of a quartic polynomial.
</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>
</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 10 March 2014.
</i>
<!-- John Burkardt -->
</body>
</html>