C8LIB
A Double Precision Complex Arithmetic Utility Library

C8LIB is a FORTRAN90 library which implements certain elementary functions for "C8" or double precision complex variables.

The symbol "C8" is used to suggest a double precision complex variable. Here the 8 indicates that the underlying pair of real numbers each use 8 bytes of storage.

C8LIB contains routines that operate on scalars, vectors or doubly dimensioned arrays of C8's. A vector of C8's is denoted a C8VEC, and a doubly dimensioned array is a C8MAT.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

C8LIB is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Programs:

I4LIB, a MATLAB library which contains many utility routines, using "I4" or "single precision integer" arithmetic.

R8LIB, a MATLAB library which contains many utility routines, using "R8" or "double precision real" arithmetic.

SUBPAK, a MATLAB library which contains many utility routines;

Source Code:

• c4vec_print.m, prints a C4VEC;
• c8_argument.m, returns the argument of a C8;
• c8_cube_root.m, returns the cube root of a C8;
• c8_i.m, returns the value of the imaginary unit, i as a C8.
• c8_le_l1.m, ( X <= Y ) for C8's, and the L1 norm.
• c8_le_l2.m, ( X <= Y ) for C8's, and the L2 norm.
• c8_le_li.m, ( X <= Y ) for C8's, and the L-oo norm.
• c8_magnitude.m, returns the magnitude of a C8;
• c8_norm_l1.m, computes the L1 norm of a C8.
• c8_norm_l2.m, computes the L2 norm of a C8.
• c8_norm_li.m, computes the L-oo norm of a C8.
• c8_normal_01.m, returns a unit pseudonormal C8.
• c8_print.m, prints a C8.
• c8_square_root.m, returns the square root of a C8;
• c8_swap.m, swaps two C8's.
• c8_uniform_01.m, returns a unit pseudorandom C8.
• c8_zero.m, returns the value of zero as a C8.
• c8mat_indicator.m, returns the C8MAT indicator matrix.
• c8mat_print.m, prints a C8MAT.
• c8mat_print_some.m, prints some of a C8MAT.
• c8mat_uniform_01.m, returns a unit pseudorandom C8MAT.
• c8vec_indicator.m, sets a C8VEC to the indicator vector.
• c8vec_nint.m, rounds the entries of a C8VEC.
• c8vec_norm_l2.m, returns the L2 norm of a C8VEC.
• c8vec_print.m, prints a C8VEC.
• c8vec_print_part.m, prints part of a C8VEC.
• c8vec_print_some.m, prints some of a C8VEC.
• c8vec_sort_a1.m, ascending sorts a C8VEC by the L1 norm.
• c8vec_sort_a2.m, ascending sorts a C8VEC by the L2 norm.
• c8vec_sort_ainf.m, ascending sorts a C8VEC by the L-oo norm.
• c8vec_uniform_01.m, returns a unit pseudorandom C8VEC.
• c8vec_unity.m, returns the N roots of unity.
• cartesian_to_c8.m, converts a Cartesian complex number to C8 format.
• polar_to_c8.m, converts a polar form complex number to C8 format.
• r8_uniform_01.m, returns a unit pseudorandom R8;
• sort_heap_external.m, external sorts a list of values into ascending order;
• timestamp.m, prints the current YMDHMS date as a timestamp;

Examples and Tests:

• c8lib_test.m, runs all the tests;
• c8lib_test_output.txt, the output file;
• c8lib_test0061.m, tests C8_ARGUMENT;
• c8lib_test0062.m, tests C8_CUBE_ROOT;
• c8lib_test0063.m, tests C8_MAGNITUDE;
• c8lib_test0064.m, tests C8_NORMAL_01;
• c8lib_test0065.m, tests C8_SQUARE_ROOT;
• c8lib_test0066.m, tests C8MAT_UNIFORM_01;
• c8lib_test0067.m, tests C8VEC_INDICATOR;

You can go up one level to the MATLAB source codes.