picrin/number.c

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C
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/**
* 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) \
{ \
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int argc, i; \
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pic_value *argv; \
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 \
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pic_errorf(pic, #op ": number required"); \
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\
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) \
{ \
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int argc, i; \
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pic_value *argv; \
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 { \
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pic_errorf(pic, #op ": number required"); \
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} \
} \
\
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) \
{ \
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int argc, i; \
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pic_value *argv; \
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 { \
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pic_errorf(pic, #op ": number required"); \
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} \
} \
\
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(abs((int)f));
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}
else {
return pic_float_value(fabs(f));
}
}
static pic_value
pic_number_floor2(pic_state *pic)
{
int i, j;
bool e1, e2;
pic_get_args(pic, "II", &i, &e1, &j, &e2);
if (e1 && e2) {
int k;
k = (i < 0 && j < 0) || (0 <= i && 0 <= j)
? i / j
: (i / j) - 1;
return pic_values2(pic, pic_int_value(k), pic_int_value(i - k * j));
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}
else {
double q, r;
q = floor((double)i/j);
r = i - j * q;
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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;
pic_get_args(pic, "II", &i, &e1, &j, &e2);
if (e1 && e2) {
return pic_values2(pic, pic_int_value(i/j), pic_int_value(i - (i/j) * j));
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}
else {
double q, r;
q = trunc((double)i/j);
r = i - j * q;
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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)));
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}
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);
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return pic_obj_value(pic_make_str(pic, buf, sizeof buf - 1));
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}
else {
char buf[snprintf(NULL, 0, "%a", f) + 1];
snprintf(buf, sizeof buf, "%a", f);
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return pic_obj_value(pic_make_str(pic, buf, sizeof buf - 1));
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}
}
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((int)num)
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: 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);
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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);
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pic_defun(pic, "abs", pic_number_abs);
pic_defun(pic, "sqrt", pic_number_sqrt);
pic_defun(pic, "expt", pic_number_expt);
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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);
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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);
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}