C8LIB
A Double Precision Complex Arithmetic Utility Library

C8LIB is a Python 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 FORTRAN90 version and a MATLAB version and a Python version.

Related Programs:

C4LIB, a Python library which contains many utility routines, using "C4" or "single precision complex" arithmetic.

COMPLEX_NUMBERS, a Python program which demonstrates some simple features involved in the use of complex numbers in FORTRAN90 programming.

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

R4LIB, a Python library which contains many utility routines using single precision real (R4) arithmetic.

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

UNIFORM, a Python library which contains uniform random number generators (RNG's) for several arithmetic types.

Source Code:

• c8_abs.py, returns the absolute value of a C8.
• c8_acos.py, returns the inverse cosine of a C8.
• c8_acosh.py, returns the inverse hyperbolic cosine of a C8.
• c8_add.py, adds two C8's.
• c8_arg.py, returns the argument of a C8.
• c8_asin.py, returns the inverse sine of a C8.
• c8_asinh.py, returns the inverse hyperbolic sine of a C8.
• c8_atan.py, returns the inverse tangent of a C8.
• c8_atanh.py, returns the inverse hyperbolic tangent of a C8.
• c8_conj.py, returns the conjugate of a C8.
• c8_cos.py, returns the cosine of a C8.
• c8_cosh.py, returns the hyperbolic cosine of a C8.
• c8_cube_root.py, returns the cube root of a C8.
• c8_div.py, divides one C8 by another.
• c8_div_r8.py, divides a C8 by an R8.
• c8_exp.py, returns the exponential of a C8.
• c8_i.py, returns the value of the imaginary unit as a C8.
• c8_imag.py, returns the imaginary part of a C8.
• c8_inv.py, returns the inverse of a C8.
• c8_le_l1.py, evaluates C1 <= C2 in the L1 norm.
• c8_le_l2.py, evaluates C1 <= C2 in the L2 norm.
• c8_le_li.py, evaluates C1 <= C2 in the Loo norm.
• c8_log.py, returns the logarithm of a C8.
• c8_mag.py, returns the magnitude of a C8.
• c8_mul.py, multiplies two C8's.
• c8_nint.py, returns the nearest integer to a C8.
• c8_norm_l1.py, returns the L1 norm of a C8.
• c8_norm_l2.py, returns the L2 norm of a C8.
• c8_norm_li.py, returns the Loo norm of a C8.
• c8_normal_01.py, returns a unit normal C8.
• c8_one.py, returns the value of one as a C8.
• c8_print.py, prints a C8.
• c8_real.py, returns the real part of a C8.
• c8_sin.py, returns the sine of a C8.
• c8_sinh.py, returns the hyperbolic sine of a C8.
• c8_sqrt.py, returns the square root of a C8.
• c8_sub.py, subtracts two C8's.
• c8_tan.py, returns the tangent of a C8.
• c8_tanh.py, returns the hyperbolic tangent of a C8.
• c8_to_cartesian.py, converts a C8 to cartesian form.
• c8_to_polar.py, converts a C8 to polar form.
• c8_uniform_01.py, returns a unit pseudorandom C8.
• c8_zero.py, returns the value of zero as a C8.
• c8mat_identity.py, returns the identity matrix.
• c8mat_indicator.py, returns the indicator matrix.
• c8mat_norm_fro.py, returns the Frobenius norm of a C8MAT.
• c8mat_norm_l1.py, returns the L1 norm of a C8MAT.
• c8mat_norm_li.py, returns the Loo norm of a C8MAT.
• c8mat_print.py, prints a C8MAT.
• c8mat_print_some.py, prints some of a C8MAT.
• c8mat_uniform_01.py, returns a unit pseudorandom C8MAT.
• c8vec_indicator.py, returns the indicator vector as a C8VEC.
• c8vec_nint.py, rounds a C8VEC.
• c8vec_norm_l1.py, returns the L1 norm of a C8VEC.
• c8vec_norm_l2.py, returns the L2 norm of a C8VEC.
• c8vec_norm_li.py, returns the Loo norm of a C8VEC.
• c8vec_print.py, prints a C8VEC.
• c8vec_print_part.py, prints part of a C8VEC.
• c8vec_sort_a_l1.py, sorts C8VEC's by L1 norm.
• c8vec_sort_a_l2.py, sorts C8VEC's by L2 norm.
• c8vec_sort_a_li.py, sorts C8VEC's by Loo norm.
• c8vec_spiral.py, returns N points on a spiral between C1 and C2.
• c8vec_uniform_01.py, returns a unit pseudorandom C8VEC.
• c8vec_unity.py, returns the N roots of unity.
• cartesian_to_c8.py, converts cartesian form to a C8.
• polar_to_c8.py, converts polar form to a C8.
• r8_atan.py, computes the arc tangent of real arguments;
• r8_uniform_01.py, returns a unit pseudorandom R8.
• sort_safe_rc.py, externally sorts a list of items into ascending order.
• timestamp.py, prints the current YMDHMS date as a timestamp;

Examples and Tests:

• c8lib_test.py, calls all the tests;
• c8lib_test.sh, runs all the tests;
• c8lib_test.txt, the output file;

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