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:

• c8_abs.m, returns the absolute value of a C8;
• c8_acos.m, returns the inverse cosine of a C8;
• c8_acosh.m, returns the inverse hyperbolic cosine of a C8;
• c8_arg.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_imag.m, returns the imaginary part of a C8.
• c8_inv.m, returns the inverse of 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_mag.m, returns the magnitude of a C8;
• c8_nint.m, rounds a C8 to the nearest complex integer.
• 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_real.m, returns the real part of a C8;
• c8_sqrt.m, returns the square root of a C8;
• c8_swap.m, swaps two C8's.
• c8_to_cartesian.m, converts a C8 to Cartesian form.
• c8_to_polar.m, converts a C8 to polar form.
• c8_uniform_01.m, returns a unit pseudorandom C8.
• c8_zero.m, returns the value of zero as a C8.
• c8mat_adds.m, combines two C8MAT's with scalar factors.
• c8mat_fss.m, factors and solves a system with multiple right hand sides.
• c8mat_identity.m, returns the C8MAT identity matrix.
• c8mat_indicator.m, returns the C8MAT indicator matrix.
• c8mat_minvm.m, computes inverse(A) * B for C8MAT's.
• c8mat_nint.m, rounds the entries of a C8MAT to the nearest complex integer.
• c8mat_norm_li.m, returns the L-infinity norm of a C8MAT.
• c8mat_print.m, prints a C8MAT.
• c8mat_print_some.m, prints some of a C8MAT.
• c8mat_scale.m, scales a C8MAT by a scalar factor.
• c8mat_uniform_01.m, returns a unit pseudorandom C8MAT.
• c8mat_zero.m, returns the C8MAT zero matrix.
• 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_csqrt.m, returns the complex square root of an R8;
• r8_floor.m, rounds an R8 down towards minus infinity;
• r8_log_2.m, returns the logarithm, base 2, of an R8;
• r8_uniform_01.m, returns a unit pseudorandom R8;
• r8poly2_root.m, returns the two roots of a quadratic polynomial.
• r8poly3_root.m, returns the three roots of a cubic polynomial.
• r8poly4_root.m, returns the four roots of a quartic polynomial.
• 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_test05.m, tests C8_ARG;
• c8lib_test13.m, tests C8_CUBE_ROOT;
• c8lib_test18.m, tests C8_MAG;
• c8lib_test19.m, tests C8_MUL;
• c8lib_test20.m, tests C8_NORMAL_01;
• c8lib_test23.m, tests C8_SQUARE_ROOT;
• c8lib_test29.m, tests C8MAT_UNIFORM_01;
• c8lib_test30.m, tests C8VEC_INDICATOR;

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