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add cmappr() and missing complex tan, cot, sec, csc in liblcac

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Added complex multiple approximation function to commath.c so
that users of libcalc may directly round complex number to
nearest multiple of a given real number:

    E_FUNC COMPLEX *cmappr(COMPLEX *c, NUMBER *e, long rnd, bool cfree);

For example:

    COMPLEX *c;             /* complex number to round to nearest epsilon */
    NUMBER *eps;            /* epsilon rounding precision */
    COMPLEX *res;           /* c rounded to nearest epsilon */
    long rnd = 24L;         /* a common rounding mode */
    bool ok_to_free;        /* true ==> free c, false ==> do not free c */

    ...

    res = cmappr(c, eps, ok_to_free);

The complex trigonometric functions tan, cot, sec, csc were implemented
in func.c as calls to complex sin and complex cos.  We added the
direct calls to comfunc.c so that users of libcalc may
call them directly:

    E_FUNC COMPLEX *c_tan(COMPLEX *c, NUMBER *eps);
    E_FUNC COMPLEX *c_cot(COMPLEX *c, NUMBER *eps);
    E_FUNC COMPLEX *c_sec(COMPLEX *c, NUMBER *eps);
    E_FUNC COMPLEX *c_cot(COMPLEX *c, NUMBER *eps);
This commit is contained in:
Landon Curt Noll
2023-09-10 22:54:50 -07:00
parent a722b5cca7
commit bf730f5518
11 changed files with 559 additions and 106 deletions
Download Patch File Download Diff File Expand all files Collapse all files

71
commath.c
View File

@@ -38,6 +38,77 @@ COMPLEX _conei_ = { &_qzero_, &_qone_, 1 };
STATIC COMPLEX _cnegone_ = { &_qnegone_, &_qzero_, 1 };
/*
* cmappr - complex multiple approximation
*
* Approximate a number to nearest multiple of a given real number. Whether
* rounding is down, up, etc. is determined by rnd.
*
* This function is useful to round a result to the nearest epsilon:
*
* COMPLEX *c; (* complex number to round to nearest epsilon *)
* NUMBER *eps; (* epsilon rounding precision *)
* COMPLEX *res; (* c rounded to nearest epsilon *)
* long rnd = 24L; (* a common rounding mode *)
* bool ok_to_free; (* true ==> free c, false ==> do not free c *)
*
* ...
*
* res = cmappr(c, eps, ok_to_free);
*
* given:
* c pointer to COMPLEX value to round
* e pointer to NUMBER multiple
* rnd rounding mode
* cfree true ==> free c, false ==> do not free c
*
* returns:
* allocated pointer to COMPLEX multiple of e approximation of c
*/
COMPLEX *
cmappr(COMPLEX *c, NUMBER *e, long rnd, bool cfree)
{
COMPLEX *r; /* COMPLEX multiple of e approximation of c */
/*
* firewall
*/
if (c == NULL) {
math_error("%s: c is NULL", __func__);
not_reached();
}
if (e == NULL) {
math_error("%s: e is NULL", __func__);
not_reached();
}
/*
* allocate return result
*/
r = comalloc();
/*
* round c to multiple of e
*/
qfree(r->real);
r->real = qmappr(c->real, e, rnd);
qfree(r->imag);
r->imag = qmappr(c->imag, e, rnd);
/*
* free c if requested
*/
if (cfree == true) {
comfree(c);
}
/*
* return the allocated multiple of e approximation of c
*/
return r;
}
/*
* Add two complex numbers.
*/