644 lines
15 KiB
C
644 lines
15 KiB
C
/**
|
|
* See Copyright Notice in picrin.h
|
|
*/
|
|
|
|
#include <math.h>
|
|
#include <limits.h>
|
|
#include <stdlib.h>
|
|
|
|
#include "picrin.h"
|
|
#include "picrin/string.h"
|
|
#include "picrin/cont.h"
|
|
|
|
/**
|
|
* Returns the length of string representing val.
|
|
* radix is between 2 and 36 (inclusive).
|
|
* No error checks are performed in this function.
|
|
*/
|
|
static int
|
|
number_string_length(int val, int radix)
|
|
{
|
|
long long v = val; /* in case val == INT_MIN */
|
|
int count = 0;
|
|
if (val == 0) {
|
|
return 1;
|
|
}
|
|
if (val < 0) {
|
|
v = - v;
|
|
count = 1;
|
|
}
|
|
while (v > 0) {
|
|
++count;
|
|
v /= radix;
|
|
}
|
|
return count;
|
|
}
|
|
|
|
/**
|
|
* Returns the string representing val.
|
|
* radix is between 2 and 36 (inclusive).
|
|
* This function overwrites buffer and stores the result.
|
|
* No error checks are performed in this function. It is caller's responsibility to avoid buffer-overrun.
|
|
*/
|
|
static void
|
|
number_string(int val, int radix, int length, char *buffer) {
|
|
const char digits[37] = "0123456789abcdefghijklmnopqrstuvwxyz";
|
|
long long v = val;
|
|
int i;
|
|
if (val == 0) {
|
|
buffer[0] = '0';
|
|
buffer[1] = '\0';
|
|
return;
|
|
}
|
|
if (val < 0) {
|
|
buffer[0] = '-';
|
|
v = -v;
|
|
}
|
|
|
|
for(i = length - 1; v > 0; --i) {
|
|
buffer[i] = digits[v % radix];
|
|
v /= radix;
|
|
}
|
|
buffer[length] = '\0';
|
|
return;
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_real_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
return pic_bool_value(pic_float_p(v) || pic_int_p(v));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_integer_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
if (pic_int_p(v)) {
|
|
return pic_true_value();
|
|
}
|
|
if (pic_float_p(v)) {
|
|
double f = pic_float(v);
|
|
|
|
if (isinf(f)) {
|
|
return pic_false_value();
|
|
}
|
|
|
|
if (f == round(f)) {
|
|
return pic_true_value();
|
|
}
|
|
}
|
|
return pic_false_value();
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_exact_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
return pic_bool_value(pic_int_p(v));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_inexact_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
return pic_bool_value(pic_float_p(v));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_finite_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
if (pic_int_p(v))
|
|
return pic_true_value();
|
|
if (pic_float_p(v) && ! (isinf(pic_float(v)) || isnan(pic_float(v))))
|
|
return pic_true_value();
|
|
else
|
|
return pic_false_value();
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_infinite_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
if (pic_float_p(v) && isinf(pic_float(v)))
|
|
return pic_true_value();
|
|
else
|
|
return pic_false_value();
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_nan_p(pic_state *pic)
|
|
{
|
|
pic_value v;
|
|
|
|
pic_get_args(pic, "o", &v);
|
|
|
|
if (pic_float_p(v) && isnan(pic_float(v)))
|
|
return pic_true_value();
|
|
else
|
|
return pic_false_value();
|
|
}
|
|
|
|
#define DEFINE_ARITH_CMP(op, name) \
|
|
static pic_value \
|
|
pic_number_##name(pic_state *pic) \
|
|
{ \
|
|
size_t argc; \
|
|
pic_value *argv; \
|
|
size_t i; \
|
|
double f,g; \
|
|
\
|
|
pic_get_args(pic, "ff*", &f, &g, &argc, &argv); \
|
|
\
|
|
if (! (f op g)) \
|
|
return pic_false_value(); \
|
|
\
|
|
for (i = 0; i < argc; ++i) { \
|
|
f = g; \
|
|
if (pic_float_p(argv[i])) \
|
|
g = pic_float(argv[i]); \
|
|
else if (pic_int_p(argv[i])) \
|
|
g = pic_int(argv[i]); \
|
|
else \
|
|
pic_errorf(pic, #op ": number required"); \
|
|
\
|
|
if (! (f op g)) \
|
|
return pic_false_value(); \
|
|
} \
|
|
\
|
|
return pic_true_value(); \
|
|
}
|
|
|
|
DEFINE_ARITH_CMP(==, eq)
|
|
DEFINE_ARITH_CMP(<, lt)
|
|
DEFINE_ARITH_CMP(>, gt)
|
|
DEFINE_ARITH_CMP(<=, le)
|
|
DEFINE_ARITH_CMP(>=, ge)
|
|
|
|
#define DEFINE_ARITH_OP(op, name, unit) \
|
|
static pic_value \
|
|
pic_number_##name(pic_state *pic) \
|
|
{ \
|
|
size_t argc; \
|
|
pic_value *argv; \
|
|
size_t i; \
|
|
double f; \
|
|
bool e = true; \
|
|
\
|
|
pic_get_args(pic, "*", &argc, &argv); \
|
|
\
|
|
f = unit; \
|
|
for (i = 0; i < argc; ++i) { \
|
|
if (pic_int_p(argv[i])) { \
|
|
f op##= pic_int(argv[i]); \
|
|
} \
|
|
else if (pic_float_p(argv[i])) { \
|
|
e = false; \
|
|
f op##= pic_float(argv[i]); \
|
|
} \
|
|
else { \
|
|
pic_errorf(pic, #op ": number required"); \
|
|
} \
|
|
} \
|
|
\
|
|
return e ? pic_int_value((int)f) : pic_float_value(f); \
|
|
}
|
|
|
|
DEFINE_ARITH_OP(+, add, 0)
|
|
DEFINE_ARITH_OP(*, mul, 1)
|
|
|
|
#define DEFINE_ARITH_INV_OP(op, name, unit, exact) \
|
|
static pic_value \
|
|
pic_number_##name(pic_state *pic) \
|
|
{ \
|
|
size_t argc; \
|
|
pic_value *argv; \
|
|
size_t i; \
|
|
double f; \
|
|
bool e; \
|
|
\
|
|
pic_get_args(pic, "F*", &f, &e, &argc, &argv); \
|
|
\
|
|
e = e && exact; \
|
|
\
|
|
if (argc == 0) { \
|
|
f = unit op f; \
|
|
} \
|
|
for (i = 0; i < argc; ++i) { \
|
|
if (pic_int_p(argv[i])) { \
|
|
f op##= pic_int(argv[i]); \
|
|
} \
|
|
else if (pic_float_p(argv[i])) { \
|
|
e = false; \
|
|
f op##= pic_float(argv[i]); \
|
|
} \
|
|
else { \
|
|
pic_errorf(pic, #op ": number required"); \
|
|
} \
|
|
} \
|
|
\
|
|
return e ? pic_int_value((int)f) : pic_float_value(f); \
|
|
}
|
|
|
|
DEFINE_ARITH_INV_OP(-, sub, 0, true)
|
|
DEFINE_ARITH_INV_OP(/, div, 1, false)
|
|
|
|
static pic_value
|
|
pic_number_abs(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
|
|
pic_get_args(pic, "F", &f, &e);
|
|
|
|
if (e) {
|
|
return pic_int_value(fabs(f));
|
|
}
|
|
else {
|
|
return pic_float_value(fabs(f));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_floor2(pic_state *pic)
|
|
{
|
|
int i, j;
|
|
bool e1, e2;
|
|
double q, r;
|
|
|
|
pic_get_args(pic, "II", &i, &e1, &j, &e2);
|
|
|
|
q = floor((double)i/j);
|
|
r = i - j * q;
|
|
|
|
if (e1 && e2) {
|
|
return pic_values2(pic, pic_int_value(q), pic_int_value(r));
|
|
}
|
|
else {
|
|
return pic_values2(pic, pic_float_value(q), pic_float_value(r));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_trunc2(pic_state *pic)
|
|
{
|
|
int i, j;
|
|
bool e1, e2;
|
|
double q, r;
|
|
|
|
pic_get_args(pic, "II", &i, &e1, &j, &e2);
|
|
|
|
q = trunc((double)i/j);
|
|
r = i - j * q;
|
|
|
|
if (e1 && e2) {
|
|
return pic_values2(pic, pic_int_value(q), pic_int_value(r));
|
|
}
|
|
else {
|
|
return pic_values2(pic, pic_float_value(q), pic_float_value(r));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_floor(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
|
|
pic_get_args(pic, "F", &f, &e);
|
|
|
|
if (e) {
|
|
return pic_int_value((int)f);
|
|
}
|
|
else {
|
|
return pic_float_value(floor(f));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_ceil(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
|
|
pic_get_args(pic, "F", &f, &e);
|
|
|
|
if (e) {
|
|
return pic_int_value((int)f);
|
|
}
|
|
else {
|
|
return pic_float_value(ceil(f));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_trunc(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
|
|
pic_get_args(pic, "F", &f, &e);
|
|
|
|
if (e) {
|
|
return pic_int_value((int)f);
|
|
}
|
|
else {
|
|
return pic_float_value(trunc(f));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_round(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
|
|
pic_get_args(pic, "F", &f, &e);
|
|
|
|
if (e) {
|
|
return pic_int_value((int)f);
|
|
}
|
|
else {
|
|
return pic_float_value(round(f));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_exp(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
return pic_float_value(exp(f));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_log(pic_state *pic)
|
|
{
|
|
double f,g;
|
|
int argc;
|
|
|
|
argc = pic_get_args(pic, "f|f", &f, &g);
|
|
if (argc == 1) {
|
|
return pic_float_value(log(f));
|
|
}
|
|
else {
|
|
return pic_float_value(log(f) / log(g));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_sin(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
f = sin(f);
|
|
return pic_float_value(f);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_cos(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
f = cos(f);
|
|
return pic_float_value(f);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_tan(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
f = tan(f);
|
|
return pic_float_value(f);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_acos(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
f = acos(f);
|
|
return pic_float_value(f);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_asin(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
f = asin(f);
|
|
return pic_float_value(f);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_atan(pic_state *pic)
|
|
{
|
|
double f,g;
|
|
int argc;
|
|
|
|
argc = pic_get_args(pic, "f|f", &f, &g);
|
|
if (argc == 1) {
|
|
f = atan(f);
|
|
return pic_float_value(f);
|
|
}
|
|
else {
|
|
return pic_float_value(atan2(f,g));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_sqrt(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
|
|
return pic_float_value(sqrt(f));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_expt(pic_state *pic)
|
|
{
|
|
double f, g, h;
|
|
bool e1, e2;
|
|
|
|
pic_get_args(pic, "FF", &f, &e1, &g, &e2);
|
|
|
|
h = pow(f, g);
|
|
if (e1 && e2) {
|
|
if (h <= INT_MAX) {
|
|
return pic_int_value((int)h);
|
|
}
|
|
}
|
|
return pic_float_value(h);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_inexact(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
|
|
return pic_float_value(f);
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_exact(pic_state *pic)
|
|
{
|
|
double f;
|
|
|
|
pic_get_args(pic, "f", &f);
|
|
|
|
return pic_int_value((int)round(f));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_number_to_string(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
int radix = 10;
|
|
|
|
pic_get_args(pic, "F|i", &f, &e, &radix);
|
|
|
|
if (radix < 2 || radix > 36) {
|
|
pic_errorf(pic, "number->string: invalid radix %d (between 2 and 36, inclusive)", radix);
|
|
}
|
|
|
|
if (e) {
|
|
int ival = (int) f;
|
|
int ilen = number_string_length(ival, radix);
|
|
char buf[ilen + 1];
|
|
|
|
number_string(ival, radix, ilen, buf);
|
|
|
|
return pic_obj_value(pic_make_str(pic, buf, sizeof buf - 1));
|
|
}
|
|
else {
|
|
char buf[snprintf(NULL, 0, "%a", f) + 1];
|
|
|
|
snprintf(buf, sizeof buf, "%a", f);
|
|
|
|
return pic_obj_value(pic_make_str(pic, buf, sizeof buf - 1));
|
|
}
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_string_to_number(pic_state *pic)
|
|
{
|
|
const char *str;
|
|
int radix = 10;
|
|
long num;
|
|
char *eptr;
|
|
double flo;
|
|
|
|
pic_get_args(pic, "z|i", &str, &radix);
|
|
|
|
num = strtol(str, &eptr, radix);
|
|
if (*eptr == '\0') {
|
|
return pic_valid_int(num)
|
|
? pic_int_value(num)
|
|
: pic_float_value(num);
|
|
}
|
|
|
|
flo = strtod(str, &eptr);
|
|
if (*eptr == '\0') {
|
|
return pic_float_value(flo);
|
|
}
|
|
|
|
pic_errorf(pic, "invalid string given: %s", str);
|
|
}
|
|
|
|
void
|
|
pic_init_number(pic_state *pic)
|
|
{
|
|
size_t ai = pic_gc_arena_preserve(pic);
|
|
|
|
pic_defun(pic, "number?", pic_number_real_p);
|
|
pic_defun(pic, "complex?", pic_number_real_p);
|
|
pic_defun(pic, "real?", pic_number_real_p);
|
|
pic_defun(pic, "rational?", pic_number_real_p);
|
|
pic_defun(pic, "integer?", pic_number_integer_p);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "exact?", pic_number_exact_p);
|
|
pic_defun(pic, "inexact?", pic_number_inexact_p);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "=", pic_number_eq);
|
|
pic_defun(pic, "<", pic_number_lt);
|
|
pic_defun(pic, ">", pic_number_gt);
|
|
pic_defun(pic, "<=", pic_number_le);
|
|
pic_defun(pic, ">=", pic_number_ge);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "+", pic_number_add);
|
|
pic_defun(pic, "-", pic_number_sub);
|
|
pic_defun(pic, "*", pic_number_mul);
|
|
pic_defun(pic, "/", pic_number_div);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "floor/", pic_number_floor2);
|
|
pic_defun(pic, "truncate/", pic_number_trunc2);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "floor", pic_number_floor);
|
|
pic_defun(pic, "ceiling", pic_number_ceil);
|
|
pic_defun(pic, "truncate", pic_number_trunc);
|
|
pic_defun(pic, "round", pic_number_round);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "inexact", pic_number_inexact);
|
|
pic_defun(pic, "exact", pic_number_exact);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "finite?", pic_number_finite_p);
|
|
pic_defun(pic, "infinite?", pic_number_infinite_p);
|
|
pic_defun(pic, "nan?", pic_number_nan_p);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "abs", pic_number_abs);
|
|
pic_defun(pic, "sqrt", pic_number_sqrt);
|
|
pic_defun(pic, "expt", pic_number_expt);
|
|
pic_defun(pic, "exp", pic_number_exp);
|
|
pic_defun(pic, "log", pic_number_log);
|
|
pic_defun(pic, "sin", pic_number_sin);
|
|
pic_defun(pic, "cos", pic_number_cos);
|
|
pic_defun(pic, "tan", pic_number_tan);
|
|
pic_defun(pic, "acos", pic_number_acos);
|
|
pic_defun(pic, "asin", pic_number_asin);
|
|
pic_defun(pic, "atan", pic_number_atan);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "number->string", pic_number_number_to_string);
|
|
pic_defun(pic, "string->number", pic_number_string_to_number);
|
|
pic_gc_arena_restore(pic, ai);
|
|
}
|