945 lines
20 KiB
C
945 lines
20 KiB
C
/**
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* See Copyright Notice in picrin.h
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*/
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#include <math.h>
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#include <limits.h>
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#include <stdlib.h>
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#include "picrin.h"
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#include "picrin/string.h"
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#include "picrin/cont.h"
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static int
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gcd(int a, int b)
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{
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if (a > b)
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return gcd(b, a);
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if (a < 0)
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return gcd(-a, b);
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if (a > 0)
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return gcd(b % a, a);
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return b;
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}
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static double
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lcm(int a, int b)
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{
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return fabs((double)a * b) / gcd(a, b);
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}
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/**
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* Returns the length of string representing val.
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* radix is between 2 and 36 (inclusive).
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* No error checks are performed in this function.
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*/
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static int
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number_string_length(int val, int radix)
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{
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long long v = val; /* in case val == INT_MIN */
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int count = 0;
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if (val == 0) {
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return 1;
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}
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if (val < 0) {
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v = - v;
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count = 1;
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}
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while (v > 0) {
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++count;
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v /= radix;
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}
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return count;
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}
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/**
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* Returns the string representing val.
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* radix is between 2 and 36 (inclusive).
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* This function overwrites buffer and stores the result.
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* No error checks are performed in this function. It is caller's responsibility to avoid buffer-overrun.
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*/
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static void
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number_string(int val, int radix, int length, char *buffer) {
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const char digits[37] = "0123456789abcdefghijklmnopqrstuvwxyz";
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long long v = val;
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int i;
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if (val == 0) {
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buffer[0] = '0';
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buffer[1] = '\0';
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return;
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}
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if (val < 0) {
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buffer[0] = '-';
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v = -v;
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}
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for(i = length - 1; v > 0; --i) {
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buffer[i] = digits[v % radix];
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v /= radix;
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}
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buffer[length] = '\0';
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return;
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}
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static pic_value
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pic_number_real_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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return pic_bool_value(pic_float_p(v) || pic_int_p(v));
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}
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static pic_value
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pic_number_integer_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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if (pic_int_p(v)) {
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return pic_true_value();
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}
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if (pic_float_p(v)) {
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double f = pic_float(v);
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if (isinf(f)) {
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return pic_false_value();
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}
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if (f == round(f)) {
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return pic_true_value();
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}
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}
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return pic_false_value();
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}
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static pic_value
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pic_number_exact_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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return pic_bool_value(pic_int_p(v));
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}
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static pic_value
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pic_number_inexact_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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return pic_bool_value(pic_float_p(v));
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}
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static pic_value
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pic_number_finite_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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if (pic_int_p(v))
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return pic_true_value();
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if (pic_float_p(v) && ! (isinf(pic_float(v)) || isnan(pic_float(v))))
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return pic_true_value();
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else
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return pic_false_value();
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}
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static pic_value
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pic_number_infinite_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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if (pic_float_p(v) && isinf(pic_float(v)))
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return pic_true_value();
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else
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return pic_false_value();
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}
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static pic_value
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pic_number_nan_p(pic_state *pic)
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{
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pic_value v;
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pic_get_args(pic, "o", &v);
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if (pic_float_p(v) && isnan(pic_float(v)))
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return pic_true_value();
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else
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return pic_false_value();
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}
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#define DEFINE_ARITH_CMP(op, name) \
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static pic_value \
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pic_number_##name(pic_state *pic) \
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{ \
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size_t argc; \
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pic_value *argv; \
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size_t i; \
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double f,g; \
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\
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pic_get_args(pic, "ff*", &f, &g, &argc, &argv); \
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\
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if (! (f op g)) \
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return pic_false_value(); \
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\
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for (i = 0; i < argc; ++i) { \
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f = g; \
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if (pic_float_p(argv[i])) \
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g = pic_float(argv[i]); \
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else if (pic_int_p(argv[i])) \
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g = pic_int(argv[i]); \
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else \
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pic_error(pic, #op ": number required"); \
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\
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if (! (f op g)) \
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return pic_false_value(); \
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} \
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\
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return pic_true_value(); \
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}
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DEFINE_ARITH_CMP(==, eq)
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DEFINE_ARITH_CMP(<, lt)
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DEFINE_ARITH_CMP(>, gt)
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DEFINE_ARITH_CMP(<=, le)
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DEFINE_ARITH_CMP(>=, ge)
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static pic_value
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pic_number_zero_p(pic_state *pic)
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{
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double f;
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pic_get_args(pic, "f", &f);
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return pic_bool_value(f == 0);
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}
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static pic_value
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pic_number_positive_p(pic_state *pic)
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{
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double f;
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pic_get_args(pic, "f", &f);
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return pic_bool_value(f > 0);
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}
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static pic_value
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pic_number_negative_p(pic_state *pic)
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{
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double f;
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pic_get_args(pic, "f", &f);
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return pic_bool_value(f < 0);
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}
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static pic_value
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pic_number_odd_p(pic_state *pic)
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{
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int i;
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pic_get_args(pic, "i", &i);
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return pic_bool_value(i % 2 != 0);
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}
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static pic_value
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pic_number_even_p(pic_state *pic)
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{
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int i;
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pic_get_args(pic, "i", &i);
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return pic_bool_value(i % 2 == 0);
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}
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static pic_value
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pic_number_max(pic_state *pic)
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{
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size_t argc;
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pic_value *argv;
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size_t i;
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double f;
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bool e = true;
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pic_get_args(pic, "*", &argc, &argv);
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f = -INFINITY;
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for (i = 0; i < argc; ++i) {
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if (pic_int_p(argv[i])) {
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f = fmax(f, pic_int(argv[i]));
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}
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else if (pic_float_p(argv[i])) {
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e = false;
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f = fmax(f, pic_float(argv[i]));
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}
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else {
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pic_error(pic, "max: number required");
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}
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}
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return e ? pic_int_value(f) : pic_float_value(f);
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}
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static pic_value
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pic_number_min(pic_state *pic)
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{
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size_t argc;
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pic_value *argv;
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size_t i;
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double f;
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bool e = true;
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pic_get_args(pic, "*", &argc, &argv);
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f = INFINITY;
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for (i = 0; i < argc; ++i) {
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if (pic_int_p(argv[i])) {
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f = fmin(f, pic_int(argv[i]));
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}
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else if (pic_float_p(argv[i])) {
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e = false;
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f = fmin(f, pic_float(argv[i]));
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}
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else {
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pic_error(pic, "min: number required");
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}
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}
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return e ? pic_int_value(f) : pic_float_value(f);
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}
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#define DEFINE_ARITH_OP(op, name, unit) \
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static pic_value \
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pic_number_##name(pic_state *pic) \
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{ \
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size_t argc; \
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pic_value *argv; \
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size_t i; \
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double f; \
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bool e = true; \
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\
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pic_get_args(pic, "*", &argc, &argv); \
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\
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f = unit; \
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for (i = 0; i < argc; ++i) { \
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if (pic_int_p(argv[i])) { \
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f op##= pic_int(argv[i]); \
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} \
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else if (pic_float_p(argv[i])) { \
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e = false; \
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f op##= pic_float(argv[i]); \
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} \
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else { \
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pic_error(pic, #op ": number required"); \
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} \
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} \
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\
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return e ? pic_int_value((int)f) : pic_float_value(f); \
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}
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DEFINE_ARITH_OP(+, add, 0)
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DEFINE_ARITH_OP(*, mul, 1)
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#define DEFINE_ARITH_INV_OP(op, name, unit, exact) \
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static pic_value \
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pic_number_##name(pic_state *pic) \
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{ \
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size_t argc; \
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pic_value *argv; \
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size_t i; \
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double f; \
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bool e; \
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\
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pic_get_args(pic, "F*", &f, &e, &argc, &argv); \
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\
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e = e && exact; \
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\
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if (argc == 0) { \
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f = unit op f; \
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} \
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for (i = 0; i < argc; ++i) { \
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if (pic_int_p(argv[i])) { \
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f op##= pic_int(argv[i]); \
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} \
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else if (pic_float_p(argv[i])) { \
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e = false; \
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f op##= pic_float(argv[i]); \
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} \
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else { \
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pic_error(pic, #op ": number required"); \
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} \
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} \
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\
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return e ? pic_int_value((int)f) : pic_float_value(f); \
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}
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DEFINE_ARITH_INV_OP(-, sub, 0, true)
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DEFINE_ARITH_INV_OP(/, div, 1, false)
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static pic_value
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pic_number_abs(pic_state *pic)
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{
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double f;
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bool e;
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pic_get_args(pic, "F", &f, &e);
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if (e) {
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return pic_int_value(fabs(f));
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}
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else {
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return pic_float_value(fabs(f));
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}
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}
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static pic_value
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pic_number_floor_quotient(pic_state *pic)
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{
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int i,j;
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bool e1, e2;
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pic_get_args(pic, "II", &i, &e1, &j, &e2);
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if (e1 && e2) {
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return pic_int_value((int)floor((double)i/j));
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}
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else {
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return pic_float_value(floor((double)i/j));
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}
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}
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static pic_value
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pic_number_floor_remainder(pic_state *pic)
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{
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int i,j,q;
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bool e1, e2;
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pic_get_args(pic, "II", &i, &e1, &j, &e2);
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q = (int)floor((double)i/j);
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if (e1 && e2) {
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return pic_int_value(i - j * q);
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}
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else {
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return pic_float_value(i - j * q);
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}
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}
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static pic_value
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pic_number_floor2(pic_state *pic)
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{
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int i, j;
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bool e1, e2;
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double q, r;
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pic_get_args(pic, "II", &i, &e1, &j, &e2);
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q = floor((double)i/j);
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r = i - j * q;
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if (e1 && e2) {
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return pic_values2(pic, pic_int_value(q), pic_int_value(r));
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}
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else {
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return pic_values2(pic, pic_float_value(q), pic_float_value(r));
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}
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}
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static pic_value
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pic_number_trunc_quotient(pic_state *pic)
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{
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int i,j;
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bool e1, e2;
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pic_get_args(pic, "II", &i, &e1, &j, &e2);
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if (e1 && e2) {
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return pic_int_value((int)trunc((double)i/j));
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}
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else {
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return pic_float_value(trunc((double)i/j));
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}
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}
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static pic_value
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pic_number_trunc_remainder(pic_state *pic)
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{
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int i,j,q;
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bool e1, e2;
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pic_get_args(pic, "II", &i, &e1, &j, &e2);
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q = (int)trunc((double)i/j);
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if (e1 && e2) {
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return pic_int_value(i - j * q);
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}
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else {
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return pic_float_value(i - j * q);
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}
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}
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static pic_value
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pic_number_trunc2(pic_state *pic)
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{
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int i, j;
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bool e1, e2;
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double q, r;
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pic_get_args(pic, "II", &i, &e1, &j, &e2);
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q = trunc((double)i/j);
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r = i - j * q;
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if (e1 && e2) {
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return pic_values2(pic, pic_int_value(q), pic_int_value(r));
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}
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else {
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return pic_values2(pic, pic_float_value(q), pic_float_value(r));
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}
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}
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static pic_value
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pic_number_gcd(pic_state *pic)
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{
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size_t argc;
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pic_value *args;
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int r;
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bool e = true;
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pic_get_args(pic, "*", &argc, &args);
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r = 0;
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while (argc-- > 0) {
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if (pic_int_p(args[argc])) {
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r = gcd(r, pic_int(args[argc]));
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}
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else if (pic_float_p(args[argc])) {
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e = false;
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r = gcd(r, pic_float(args[argc]));
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}
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else {
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pic_error(pic, "gcd: number required");
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}
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}
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return e ? pic_int_value(r) : pic_float_value(r);
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}
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|
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static pic_value
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pic_number_lcm(pic_state *pic)
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{
|
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size_t argc;
|
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pic_value *args;
|
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double r;
|
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bool e = true;
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pic_get_args(pic, "*", &argc, &args);
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r = 1;
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while (argc-- > 0) {
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if (pic_int_p(args[argc])) {
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r = lcm(r, pic_int(args[argc]));
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}
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else if (pic_float_p(args[argc])) {
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e = false;
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r = lcm(r, pic_float(args[argc]));
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}
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else {
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pic_error(pic, "lcm: number required");
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}
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}
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return e && pic_valid_int(r) ? pic_int_value(r) : pic_float_value(r);
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}
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|
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static pic_value
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pic_number_floor(pic_state *pic)
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{
|
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double f;
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bool e;
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|
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pic_get_args(pic, "F", &f, &e);
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if (e) {
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return pic_int_value((int)f);
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}
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else {
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return pic_float_value(floor(f));
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}
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}
|
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|
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static pic_value
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pic_number_ceil(pic_state *pic)
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{
|
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double f;
|
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bool e;
|
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|
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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_exact_integer_sqrt(pic_state *pic)
|
|
{
|
|
int k, n, m;
|
|
|
|
pic_get_args(pic, "i", &k);
|
|
|
|
n = sqrt(k);
|
|
m = k - n * n;
|
|
|
|
return pic_values2(pic, pic_int_value(n), pic_int_value(m));
|
|
}
|
|
|
|
static pic_value
|
|
pic_number_square(pic_state *pic)
|
|
{
|
|
double f;
|
|
bool e;
|
|
|
|
pic_get_args(pic, "F", &f, &e);
|
|
|
|
if (e) {
|
|
long long i = (long long)f;
|
|
|
|
if (i * i <= INT_MAX) {
|
|
return pic_int_value(i * i);
|
|
}
|
|
}
|
|
return pic_float_value(f * f);
|
|
}
|
|
|
|
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_str_new(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_str_new(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_defun(pic, "exact-integer?", pic_number_exact_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, "zero?", pic_number_zero_p);
|
|
pic_defun(pic, "positive?", pic_number_positive_p);
|
|
pic_defun(pic, "negative?", pic_number_negative_p);
|
|
pic_defun(pic, "odd?", pic_number_odd_p);
|
|
pic_defun(pic, "even?", pic_number_even_p);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "min", pic_number_min);
|
|
pic_defun(pic, "max", pic_number_max);
|
|
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, "abs", pic_number_abs);
|
|
pic_defun(pic, "floor-quotient", pic_number_floor_quotient);
|
|
pic_defun(pic, "floor-remainder", pic_number_floor_remainder);
|
|
pic_defun(pic, "floor/", pic_number_floor2);
|
|
pic_defun(pic, "truncate-quotient", pic_number_trunc_quotient);
|
|
pic_defun(pic, "truncate-remainder", pic_number_trunc_remainder);
|
|
pic_defun(pic, "truncate/", pic_number_trunc2);
|
|
pic_defun(pic, "modulo", pic_number_floor_remainder);
|
|
pic_defun(pic, "quotient", pic_number_trunc_quotient);
|
|
pic_defun(pic, "remainder", pic_number_trunc_remainder);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_defun(pic, "gcd", pic_number_gcd);
|
|
pic_defun(pic, "lcm", pic_number_lcm);
|
|
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, "exact-integer-sqrt", pic_number_exact_integer_sqrt);
|
|
pic_defun(pic, "square", pic_number_square);
|
|
pic_defun(pic, "expt", pic_number_expt);
|
|
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, "number->string", pic_number_number_to_string);
|
|
pic_defun(pic, "string->number", pic_number_string_to_number);
|
|
pic_gc_arena_restore(pic, ai);
|
|
|
|
pic_deflibrary (pic, "(scheme inexact)") {
|
|
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_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_defun(pic, "sqrt", pic_number_sqrt);
|
|
}
|
|
}
|