/
complex.pmc
1932 lines (1407 loc) · 49.9 KB
/
complex.pmc
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/*
Copyright (C) 2004-2008, Parrot Foundation.
$Id$
=head1 NAME
src/pmc/complex.pmc - Complex Numbers PMC Class
=head1 DESCRIPTION
C<Complex> provides a representation of complex numbers. It handles
string parsing/generating and basic mathematical operations.
=head2 Functions
=over 4
=cut
Equations used are sometimes listed. At times, multiple equations are given,
but those starting with => are the ones used
*/
#include "parrot/parrot.h"
/*
=item C<static void
complex_parse_string(PARROT_INTERP, FLOATVAL *re, FLOATVAL *im, STRING *value)>
Parses the string in C<value> to produce a complex number, represented
by the real (C<*re>) and imaginary (C<*im>) parts. Raises an exception
if it cannot understand the string. The string should be of the form
C<a+bi> with optional spaces around C<+> and before C<i>. You can also
use C<j> instead of C<i>.
=cut
*/
static void
complex_parse_string(PARROT_INTERP, FLOATVAL *re, FLOATVAL *im, STRING *value) {
char *str = Parrot_str_to_cstring(interp, value);
char *t = str;
char *first_num_offset = str;
char *second_num_offset = NULL;
STRING *S;
INTVAL i = 0;
INTVAL first_num_minus = 0;
INTVAL second_num_minus = 0;
UINTVAL first_num_length, second_num_length;
/* walk the string and identify the real and imaginary parts */
if (*t == '-') {
/* first number is negative */
t++;
first_num_minus = 1;
/* allow for an optional space */
if (*t == ' ')
t++;
first_num_offset = t;
}
/* skip digits */
while (*t >= '0' && *t <= '9')
t++;
if (*t == '.') {
/* this number has a decimal point */
t++;
/* skip digits */
while (*t >= '0' && *t <= '9')
t++;
}
/* save the length of the real part */
first_num_length = t - first_num_offset;
/* end of string; we only have a real part */
if (*t == 0) {
second_num_length = 0;
}
else if ((*t == 'i' || *t == 'j') && *(t+1) == 0) {
/* there is only an imaginary part, so the first number was
actually the imaginary part */
second_num_length = first_num_length;
first_num_length = 0;
second_num_offset = first_num_offset;
second_num_minus = first_num_minus;
first_num_minus = 0;
/* this is useful if there is no number for
the imaginary part, like in "-i" */
i = 1;
}
else {
/* skip an optional space */
if (*t == ' ')
t++;
/* expect "+" or "-" and the imaginary part */
if (*t == '+' || *t == '-') {
/* save the sign */
second_num_minus = (*t == '-');
t++;
/* skip another optional space */
if (*t == ' ')
t++;
/* save the beginning of the imaginary part */
second_num_offset = t;
/* skip digits */
while (*t >= '0' && *t <= '9')
t++;
if (*t == '.') {
/* this number has a decimal point */
t++;
/* skip digits */
while (*t >= '0' && *t <= '9')
t++;
}
/* save the length of the imaginary part */
second_num_length = t - second_num_offset;
/* allow for one more optional space */
if (*t == ' ')
t++;
/* verify that the string ends properly */
if ((*t != 'i' && *t != 'j') || (*(t+1) != 0)) {
/* imaginary part does not end in 'i' or 'j' */
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_STRING_REPRESENTATION,
"Complex: malformed string");
}
/* this is useful if there is no number for the
imaginary part, like in "2+i" */
i = 1;
/* all is OK, save the number */
}
else {
/* "+" or "-" not found: error */
Parrot_str_free_cstring(str);
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_STRING_REPRESENTATION,
"Complex: malformed string");
}
}
/* now we have the offsets and the lengths we turn them into float values */
if (first_num_length) {
/* there is a real part, interpret it */
S = Parrot_str_new(interp, first_num_offset, first_num_length);
*re = Parrot_str_to_num(interp, S);
}
else {
/* consider the real part 0.0 */
*re = 0.0;
}
if (second_num_length) {
/* there is an imaginary part, interpret it */
S = Parrot_str_new(interp, second_num_offset, second_num_length);
*im = Parrot_str_to_num(interp, S);
}
else {
/* consider the imaginary part 0.0 */
if (i) /* the string was something like "1+i" */
*im = 1.0;
else
*im = 0.0;
}
if (first_num_minus)
*re = -*re;
if (second_num_minus)
*im = -*im;
Parrot_str_free_cstring(str);
}
static void
int_check_divide_zero(PARROT_INTERP, INTVAL value) {
if (value == 0)
Parrot_ex_throw_from_c_args(interp, NULL, EXCEPTION_DIV_BY_ZERO,
"Divide by zero");
}
static void
float_check_divide_zero(PARROT_INTERP, FLOATVAL value) {
if (FLOAT_IS_ZERO(value))
Parrot_ex_throw_from_c_args(interp, NULL, EXCEPTION_DIV_BY_ZERO,
"Divide by zero");
}
static void
complex_check_divide_zero(PARROT_INTERP, PMC *value) {
/* Throw an exception if we are dividing by zero. Check both the real part
* and the imaginary part.*/
if (FLOAT_IS_ZERO(VTABLE_get_number_keyed_int(interp, value, 0))
&& FLOAT_IS_ZERO(VTABLE_get_number_keyed_int(interp, value, 1)))
Parrot_ex_throw_from_c_args(interp, NULL, EXCEPTION_DIV_BY_ZERO,
"Divide by zero");
}
pmclass Complex need_ext {
ATTR FLOATVAL re; /* real part */
ATTR FLOATVAL im; /* imaginary part */
/*
=item C<PMC *instantiate(PMC *sig)>
Create a new complex PMC with passed arguments according to pdd03.
=cut
*/
VTABLE PMC *instantiate(PMC *sig) {
return PMCNULL;
/* TODO -- really build this thing */
#if 0
PMC *res = pmc_new(INTERP, enum_class_Complex);
FLOATVAL re = 0.0;
FLOATVAL im = 0.0;
int argcI = REG_INT(interp, 1);
int argcS = REG_INT(interp, 2);
int argcP = REG_INT(interp, 3);
int argcN = REG_INT(interp, 4);
/*
* we can only allow 0..2 arguments of one kind. For
* mixed (e.g. N, P) args the order of arguments isn't fixed
*/
if (argcP) {
re = VTABLE_get_number(INTERP, REG_PMC(interp, 5));
if (argcP == 2)
im = VTABLE_get_number(INTERP, REG_PMC(interp, 6));
/* TODO throw exception if argument mismatch */
}
else if (argcN) {
re = REG_NUM(interp, 5);
if (argcN == 2)
im = REG_NUM(interp, 6);
}
else if (argcI) {
re = REG_INT(interp, 5);
if (argcI == 2)
im = REG_INT(interp, 6);
}
else if (argcS == 1) {
complex_parse_string(INTERP, &RE(res), &IM(res), REG_STR(interp, 5));
return res;
}
RE(res) = re;
IM(res) = im;
return res;
#endif
}
/*
=item C<opcode_t *invoke(void *next)>
Pythonic object constructor. SELF is a Complex Class object. Return a new
C<complex> object according to 2.1. Built-in Functions.
=cut
*/
VTABLE opcode_t *invoke(void *next) {
const int argcP = REG_INT(interp, 3);
PMC * const res = pmc_new(INTERP, enum_class_Complex);
if (argcP == 1) {
PMC * const arg = REG_PMC(interp, 5);
if (arg->vtable->base_type == enum_class_String)
VTABLE_set_string_native(INTERP, res, VTABLE_get_string(interp, arg));
else
SET_ATTR_re(INTERP, res, VTABLE_get_number(INTERP, arg));
}
else if (argcP == 2) {
SET_ATTR_re(INTERP, res, VTABLE_get_number(INTERP, REG_PMC(interp, 5)));
SET_ATTR_im(INTERP, res, VTABLE_get_number(INTERP, REG_PMC(interp, 6)));
}
REG_PMC(interp, 5) = res;
return (opcode_t *)next;
}
/*
=back
=head2 Methods
=over 4
=item C<void init()>
Initializes the complex number with the value 0+0i.
=item C<void init_pmc(PMC *initializer)>
Initializes the complex number with the specified initializer.
The initializer can be a string PMC or a numeric array with (real, imag)
=item C<void destroy()>
Cleans up.
=item C<PMC *clone()>
Creates an identical copy of the complex number.
=cut
*/
VTABLE void init() {
/* XXX should check if mem_sys_allocate failed */
PMC_data(SELF) = mem_allocate_typed(Parrot_Complex_attributes);
SET_ATTR_re(INTERP, SELF, 0.0);
SET_ATTR_im(INTERP, SELF, 0.0);
PObj_active_destroy_SET(SELF);
}
VTABLE void init_pmc(PMC *initializer) {
const INTVAL arg_type = VTABLE_type(interp, initializer);
SELF.init();
switch (arg_type) {
case enum_class_String:
SELF.set_string_native(VTABLE_get_string(interp, initializer));
break;
case enum_class_FixedFloatArray:
case enum_class_ResizableFloatArray:
case enum_class_FixedIntegerArray:
case enum_class_ResizableIntegerArray:
if (VTABLE_get_integer(interp, initializer) == 2) {
FLOATVAL re = VTABLE_get_number_keyed_int(interp, initializer, 0);
FLOATVAL im = VTABLE_get_number_keyed_int(interp, initializer, 1);
SET_ATTR_re(INTERP, SELF, re);
SET_ATTR_im(INTERP, SELF, im);
break;
}
/* else let it fall to default */
default:
if (VTABLE_isa(interp, initializer, CONST_STRING(interp, "String"))) {
STRING * s = VTABLE_get_string(interp, initializer);
SELF.set_string_native(s);
}
else {
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_OPERATION,
"Invalid Complex initializer");
}
}
}
VTABLE void destroy() {
mem_sys_free(PMC_data(SELF));
PMC_data(SELF) = NULL;
}
VTABLE PMC *clone() {
FLOATVAL re, im;
PMC *dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re);
SET_ATTR_im(INTERP, dest, im);
return dest;
}
/*
=item C<INTVAL get_integer()>
Returns the modulus of the complex number as an integer.
=item C<FLOATVAL get_number()>
Returns the modulus of the complex number.
=item C<STRING *get_string()>
Returns the complex number as a string in the form C<a+bi>.
=item C<INTVAL get_bool()>
Returns true if the complex number is non-zero.
=cut
*/
VTABLE INTVAL get_integer() {
FLOATVAL f = SELF.get_number();
return (INTVAL)f;
}
VTABLE FLOATVAL get_number() {
FLOATVAL re, im;
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
return sqrt(re * re + im * im);
}
VTABLE STRING *get_string() {
FLOATVAL re, im;
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
return Parrot_sprintf_c(INTERP, "%vg%+vgi", re, im);
}
VTABLE INTVAL get_bool() {
FLOATVAL re, im;
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
return !(FLOAT_IS_ZERO(re) && FLOAT_IS_ZERO(im));
}
/*
=item C<INTVAL get_integer_keyed(PMC *key)>
=item C<INTVAL get_integer_keyed_str(STRING *key)>
=item C<FLOATVAL get_number_keyed(PMC *key)>
=item C<FLOATVAL get_number_keyed_str(STRING *key)>
=item C<PMC *get_pmc_keyed(PMC *key)>
=item C<PMC *get_pmc_keyed_str(STRING *key)>
Returns the requested number (real part for C<real> and imaginary for C<imag>).
=cut
*/
VTABLE INTVAL get_integer_keyed(PMC *key) {
STRING * const s = VTABLE_get_string(INTERP, key);
return SELF.get_integer_keyed_str(s);
}
VTABLE INTVAL get_integer_keyed_str(STRING *key) {
FLOATVAL f = SELF.get_number_keyed_str(key);
return (INTVAL)f;
}
VTABLE FLOATVAL get_number_keyed(PMC *key) {
STRING * const s = VTABLE_get_string(INTERP, key);
return SELF.get_number_keyed_str(s);
}
VTABLE FLOATVAL get_number_keyed_str(STRING *key) {
FLOATVAL value;
if (Parrot_str_equal(INTERP, key, CONST_STRING(INTERP, "real"))) {
GET_ATTR_re(INTERP, SELF, value);
}
else if (Parrot_str_equal(INTERP, key, CONST_STRING(INTERP, "imag"))) {
GET_ATTR_im(INTERP, SELF, value);
}
else
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_OPERATION, "Complex: key is neither 'real' or 'imag'");
return value;
}
VTABLE PMC *get_pmc_keyed(PMC *key) {
if (VTABLE_isa(interp, key, CONST_STRING(interp, "Integer"))) {
INTVAL i = VTABLE_get_integer(interp, key);
return SELF.get_pmc_keyed_int(i);
}
else {
STRING * const s = VTABLE_get_string(INTERP, key);
return SELF.get_pmc_keyed_str(s);
}
}
VTABLE PMC *get_pmc_keyed_str(STRING *key) {
PMC * const ret = pmc_new(INTERP, enum_class_Float);
const FLOATVAL val = SELF.get_number_keyed_str(key);
VTABLE_set_number_native(INTERP, ret, val);
return ret;
}
/*
=item C<PMC *get_pmc_keyed_int(INTVAL key)>
Returns the requested number (real part for C<0> and imaginary for C<1>).
=cut
*/
VTABLE PMC *get_pmc_keyed_int(INTVAL key) {
PMC * const ret = pmc_new(INTERP, enum_class_Float);
const FLOATVAL val = SELF.get_number_keyed_int(key);
VTABLE_set_number_native(INTERP, ret, val);
return ret;
}
/*
=item C<FLOATVAL get_number_keyed_int(INTVAL key)>
Quick hack to emulate get_real() and get_imag():
key = 0 ... get real part
key = 1 ... get imag part
=item C<void set_number_keyed_int(INTVAL key, FLOATVAL v)>
Set real or imag depending on key
=cut
*/
VTABLE FLOATVAL get_number_keyed_int(INTVAL key) {
FLOATVAL f;
switch (key) {
case 0:
GET_ATTR_re(INTERP, SELF, f);
break;
case 1:
GET_ATTR_im(INTERP, SELF, f);
break;
default:
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_OPERATION, "Complex: key must be 0 or 1");
}
return f;
}
VTABLE void set_number_keyed_int(INTVAL key, FLOATVAL v) {
switch (key) {
case 0:
SET_ATTR_re(INTERP, SELF, v);
break;
case 1:
SET_ATTR_im(INTERP, SELF, v);
break;
default:
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_OPERATION, "Complex: key must be 0 or 1");
}
}
/*
=item C<void set_string_native(STRING *value)>
Parses the string C<value> into a complex number; raises an exception
on failure.
=item C<void set_pmc(PMC *value)>
if C<value> is a Complex PMC then the complex number is set to its
value; otherwise C<value>'s string representation is parsed with
C<set_string_native()>.
=item C<void set_integer_native(INTVAL value)>
=item C<void set_number_native(FLOATVAL value)>
Sets the real part of the complex number to C<value> and the imaginary
part to C<0.0>
=cut
*/
VTABLE void set_string_native(STRING *value) {
FLOATVAL re, im;
complex_parse_string(INTERP, &re, &im, value);
SET_ATTR_re(INTERP, SELF, re);
SET_ATTR_im(INTERP, SELF, im);
}
VTABLE void set_pmc(PMC *value) {
if (VTABLE_isa(INTERP, value, CONST_STRING(INTERP, "Complex")))
{
FLOATVAL re, im;
GET_ATTR_re(INTERP, value, re);
GET_ATTR_im(INTERP, value, im);
SET_ATTR_re(INTERP, SELF, re);
SET_ATTR_im(INTERP, SELF, im);
}
else
VTABLE_set_string_native(INTERP, SELF, VTABLE_get_string(INTERP, value));
}
VTABLE void set_integer_native(INTVAL value) {
SELF.set_number_native((FLOATVAL)value);
}
VTABLE void set_number_native(FLOATVAL value) {
SET_ATTR_re(INTERP, SELF, value);
SET_ATTR_im(INTERP, SELF, 0.0);
}
/*
=item C<void set_integer_keyed(PMC *key, INTVAL value)>
=item C<void set_integer_keyed_str(STRING *key, INTVAL value)>
=item C<void set_number_keyed(PMC *key, FLOATVAL value)>
=item C<void set_number_keyed_str(STRING *key, FLOATVAL value)>
=item C<void set_pmc_keyed(PMC *key, PMC *value)>
=item C<void set_pmc_keyed_str(STRING *key, PMC *value)>
Sets the requested number (real part for C<real> and imaginary for C<imag>)
to C<value>.
=cut
*/
VTABLE void set_integer_keyed(PMC *key, INTVAL value) {
SELF.set_number_keyed(key, (FLOATVAL)value);
}
VTABLE void set_integer_keyed_str(STRING *key, INTVAL value) {
SELF.set_number_keyed_str(key, (FLOATVAL)value);
}
VTABLE void set_number_keyed(PMC *key, FLOATVAL value) {
if (VTABLE_isa(interp, key, CONST_STRING(interp, "Integer"))) {
INTVAL i = VTABLE_get_integer(interp, key);
SELF.set_number_keyed_int(i, value);
}
else {
STRING *s = VTABLE_get_string(INTERP, key);
SELF.set_number_keyed_str(s, value);
}
}
VTABLE void set_number_keyed_str(STRING *key, FLOATVAL value) {
if (Parrot_str_equal(INTERP, key, CONST_STRING(INTERP, "real"))) {
SET_ATTR_re(INTERP, SELF, value);
}
else if (Parrot_str_equal(INTERP, key, CONST_STRING(INTERP, "imag"))) {
SET_ATTR_im(INTERP, SELF, value);
}
else
Parrot_ex_throw_from_c_args(interp, NULL,
EXCEPTION_INVALID_OPERATION, "Complex: key is neither 'real' or 'imag'");
}
VTABLE void set_pmc_keyed(PMC *key, PMC *value) {
const FLOATVAL f = VTABLE_get_number(INTERP, value);
SELF.set_number_keyed(key, f);
}
VTABLE void set_pmc_keyed_str(STRING *key, PMC *value) {
const FLOATVAL f = VTABLE_get_number(INTERP, value);
SELF.set_number_keyed_str(key, f);
}
/*
=item C<PMC *add(PMC *value, PMC *dest)>
=item C<PMC *add_int(INTVAL value, PMC *dest)>
=item C<PMC *add_float(FLOATVAL value, PMC *dest)>
Adds C<value> to the complex number, placing the result in C<dest>.
=cut
*/
MULTI PMC *add(Complex value, PMC *dest) {
FLOATVAL self_re, self_im, val_re, val_im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, self_re);
GET_ATTR_im(INTERP, SELF, self_im);
GET_ATTR_re(INTERP, value, val_re);
GET_ATTR_im(INTERP, value, val_im);
SET_ATTR_re(INTERP, dest, self_re + val_re);
SET_ATTR_im(INTERP, dest, self_im + val_im);
return dest;
}
MULTI PMC *add(DEFAULT value, PMC *dest) {
FLOATVAL re, im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re + VTABLE_get_number(INTERP, value));
SET_ATTR_im(INTERP, dest, im);
return dest;
}
VTABLE PMC *add_int(INTVAL value, PMC *dest) {
return SELF.add_float((FLOATVAL)value, dest);
}
VTABLE PMC *add_float(FLOATVAL value, PMC *dest) {
FLOATVAL re, im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re + value);
SET_ATTR_im(INTERP, dest, im);
return dest;
}
MULTI void i_add(Complex value) {
FLOATVAL self_re, self_im, val_re, val_im;
GET_ATTR_re(INTERP, SELF, self_re);
GET_ATTR_im(INTERP, SELF, self_im);
GET_ATTR_re(INTERP, value, val_re);
GET_ATTR_im(INTERP, value, val_im);
SET_ATTR_re(INTERP, SELF, self_re + val_re);
SET_ATTR_im(INTERP, SELF, self_im + val_im);
}
MULTI void i_add(DEFAULT value) {
FLOATVAL re;
GET_ATTR_re(INTERP, SELF, re);
SET_ATTR_re(INTERP, SELF, re + VTABLE_get_number(INTERP, value));
}
VTABLE void i_add_int(INTVAL value) {
SELF.i_add_float((FLOATVAL)value);
}
VTABLE void i_add_float(FLOATVAL value) {
FLOATVAL re;
GET_ATTR_re(INTERP, SELF, re);
SET_ATTR_re(INTERP, SELF, re + value);
}
/*
=item C<PMC *subtract(PMC *value, PMC *dest)>
=item C<PMC *subtract_int(INTVAL value, PMC *dest)>
=item C<PMC *subtract_float(FLOATVAL value, PMC *dest)>
Subtracts C<value> from the complex number, placing the result in C<dest>.
=cut
*/
MULTI PMC *subtract(Complex value, PMC *dest) {
FLOATVAL self_re, self_im, val_re, val_im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, self_re);
GET_ATTR_im(INTERP, SELF, self_im);
GET_ATTR_re(INTERP, value, val_re);
GET_ATTR_im(INTERP, value, val_im);
SET_ATTR_re(INTERP, dest, self_re - val_re);
SET_ATTR_im(INTERP, dest, self_im - val_im);
return dest;
}
MULTI PMC *subtract(DEFAULT value, PMC *dest) {
FLOATVAL re, im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re - VTABLE_get_number(INTERP, value));
SET_ATTR_im(INTERP, dest, im);
return dest;
}
VTABLE PMC *subtract_int(INTVAL value, PMC *dest) {
return SELF.subtract_float((FLOATVAL)value, dest);
}
VTABLE PMC *subtract_float(FLOATVAL value, PMC *dest) {
FLOATVAL re, im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re - value);
SET_ATTR_im(INTERP, dest, im);
return dest;
}
MULTI void i_subtract(Complex value) {
FLOATVAL self_re, self_im, val_re, val_im;
GET_ATTR_re(INTERP, SELF, self_re);
GET_ATTR_im(INTERP, SELF, self_im);
GET_ATTR_re(INTERP, value, val_re);
GET_ATTR_im(INTERP, value, val_im);
SET_ATTR_re(INTERP, SELF, self_re - val_re);
SET_ATTR_im(INTERP, SELF, self_im - val_im);
}
MULTI void i_subtract(DEFAULT value) {
FLOATVAL re;
GET_ATTR_re(INTERP, SELF, re);
SET_ATTR_re(INTERP, SELF, re - VTABLE_get_number(INTERP, value));
}
VTABLE void i_subtract_int(INTVAL value) {
SELF.i_subtract_float((FLOATVAL) value);
}
VTABLE void i_subtract_float(FLOATVAL value) {
FLOATVAL re;
GET_ATTR_re(INTERP, SELF, re);
SET_ATTR_re(INTERP, SELF, re - value);
}
/*
=item C<PMC *multiply(PMC *value, PMC *dest)>
=item C<PMC *multiply_int(INTVAL value, PMC *dest)>
=item C<PMC *multiply_float(FLOATVAL value, PMC *dest)>
Multiplies the complex number with C<value>, placing the result in C<dest>.
=item C<void i_multiply(PMC *value)>
=item C<void i_multiply_int(INTVAL value)>
=item C<void i_multiply_float(FLOATVAL value)>
Multiplies the complex number SELF inplace with C<value>.
=cut
*/
/*
(a+ib)(c+id)=(ac-bd)+i((a+b)(c+d)-ac-bd).
(a+bi)(c+di)=(ac-bd)+i(ad+bc)
*/
MULTI PMC *multiply(Complex value, PMC *dest) {
FLOATVAL a, b, c, d;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, a);
GET_ATTR_im(INTERP, SELF, b);
GET_ATTR_re(INTERP, value, c);
GET_ATTR_im(INTERP, value, d);
SET_ATTR_re(INTERP, dest, a * c - b * d);
SET_ATTR_im(INTERP, dest, a * d + b * c);
return dest;
}
MULTI PMC *multiply(DEFAULT value, PMC *dest) {
FLOATVAL re, im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re * VTABLE_get_number(INTERP, value));
SET_ATTR_im(INTERP, dest, im * VTABLE_get_number(INTERP, value));
return dest;
}
VTABLE PMC *multiply_int(INTVAL value, PMC *dest) {
return SELF.multiply_float((FLOATVAL) value, dest);
}
VTABLE PMC *multiply_float(FLOATVAL value, PMC *dest) {
FLOATVAL re, im;
dest = pmc_new(INTERP, VTABLE_type(INTERP, SELF));
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, dest, re * value);
SET_ATTR_im(INTERP, dest, im * value);
return dest;
}
MULTI void i_multiply(Complex value) {
FLOATVAL a, b, c, d;
GET_ATTR_re(INTERP, SELF, a);
GET_ATTR_im(INTERP, SELF, b);
GET_ATTR_re(INTERP, value, c);
GET_ATTR_im(INTERP, value, d);
SET_ATTR_re(INTERP, SELF, a * c - b * d);
SET_ATTR_im(INTERP, SELF, a * d + b * c);
}
MULTI void i_multiply(DEFAULT value) {
FLOATVAL re, im;
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, SELF, re * VTABLE_get_number(INTERP, value));
SET_ATTR_im(INTERP, SELF, im * VTABLE_get_number(INTERP, value));
}
VTABLE void i_multiply_int(INTVAL value) {
FLOATVAL re, im;
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, SELF, re * value);
SET_ATTR_im(INTERP, SELF, im * value);
}
VTABLE void i_multiply_float(FLOATVAL value) {
FLOATVAL re, im;
GET_ATTR_re(INTERP, SELF, re);
GET_ATTR_im(INTERP, SELF, im);
SET_ATTR_re(INTERP, SELF, re * value);
SET_ATTR_im(INTERP, SELF, im * value);
}
/*
=item C<PMC *divide(PMC *value, PMC *dest)>
=item C<PMC *divide_int(INTVAL value, PMC *dest)>
=item C<PMC *divide_float(FLOATVAL value, PMC *dest)>
Divide the complex number by C<value>, placing the result in C<dest>.
=item C<void i_divide(PMC *value, PMC *dest)>
=item C<void i_divide_int(INTVAL value, PMC *dest)>
=item C<void i_divide_float(FLOATVAL value, PMC *dest)>
Divide the complex number C<SELF> by C<value> inplace.
Throws divide by zero exception if divisor is zero.
=cut