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C++ Complex Math Library

cplxerr(C++)


complex_error -- error-handling function for the C++ complex math library

Syntax

#include <complex.h>

class c_exception { int type; char *name; complex arg1; complex arg2; complex retval;

public:

c_exception( char *n, const complex& a1, const complex& a2 = complex_zero );

friend int complex_error( c_exception& );

friend complex exp( complex ); friend complex sinh( complex ); friend complex cosh( complex ); friend complex log( complex ); };

Description

In the following description of the complex error-handling routine,

i = complex_error(x)
Invoked by functions in the C++ Complex Mathematics Library when errors are detected.

Users may define their own procedures for handling errors, by defining a function named complex_error in their programs. complex_error must be of the form described above.

The element type is an integer describing the type of error that has occurred, from the following list of constants (defined in the header file):


SING
argument singularity

OVERFLOW
overflow range error

UNDERFLOW
underflow range error

The element name points to a string containing the name of the function that incurred the error. The variables arg1 and arg2 are the arguments with which the function was invoked. retval is set to the default value that will be returned by the function unless the user's complex_error sets it to a different value.

If the user's complex_error function returns non-zero, no error message will be printed, and errno will not be set. If complex_error is not supplied by the user, the default error-handling procedures, described with the complex math functions involved, will be invoked upon error. These procedures are also summarized in the table below. In every case, errno is set to EDOM or ERANGE and the program continues.

Note that complex math functions call functions included in the math library which has its own error-handling routine, matherr(S). Users may also override this routine by supplying their own version.

Default error-handling procedures

  Types of Errors
type SING OVERFLOW UNDERFLOW
errno EDOM ERANGE ERANGE
EXP:      
real too large/small - (±H, ±H) (0, 0)
imag too large - (0, 0) -
LOG:      
arg = (0, 0) M, (H, 0) - -
SINH:      
real too large - (±H, ±H) -
imag too large - (0, 0) -
COSH:      
real too large - (±H, ±H) -
imag too large - (0, 0) -

 +---------------------+-----------------------------------+
 |                     | Types of Errors                   |
 +---------------------+------------+----------+-----------+
 |type                 | SING       | OVERFLOW | UNDERFLOW |
 +---------------------+------------+----------+-----------+
 |errno                | EDOM       | ERANGE   | ERANGE    |
 +---------------------+------------+----------+-----------+
 |EXP:                 |            |          |           |
 +---------------------+------------+----------+-----------+
 |real too large/small |     -      | (ħH, ħH) |  (0, 0)   |
 +---------------------+------------+----------+-----------+
 |imag too large       |     -      |  (0, 0)  |     -     |
 +---------------------+------------+----------+-----------+
 |LOG:                 |            |          |           |
 +---------------------+------------+----------+-----------+
 |arg = (0, 0)         | M, (H, 0)  |    -     |     -     |
 +---------------------+------------+----------+-----------+
 |SINH:                |            |          |           |
 +---------------------+------------+----------+-----------+
 |real too large       |     -      | (ħH, ħH) |     -     |
 +---------------------+------------+----------+-----------+
 |imag too large       |     -      |  (0, 0)  |     -     |
 +---------------------+------------+----------+-----------+
 |COSH:                |            |          |           |
 +---------------------+------------+----------+-----------+
 |real too large       |     -      | (ħH, ħH) |     -     |
 +---------------------+------------+----------+-----------+
 |imag too large       |     -      |  (0, 0)  |     -     |
 +---------------------+------------+----------+-----------+
Abbreviations:


M
Message is printed (EDOM error).

(H, 0)
(HUGE, 0) is returned.

(±H, ±H)
HUGE, ±HUGE) is returned.

(0, 0)
(0, 0) is returned.

See also

cplx.intro(C++), matherr(S), cartpol(C++), cplxops(C++), cplxexp(C++), cplxtrig(C++)
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