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reactos/base/applications/calc/rpn_mpfr.c
Carlo-Bramini 295eaf4e32
[CALC] Improve multi-precision support, and powers/roots. CORE-8486 
- Added support for average of squares and mean of squares into statistical functions.
- pop() and push() functions in RPN engines now work with nodes instead of stack units.
- Moved the POW and SQR operations near the operators.
CORE-12766

- Fix number of digits for IEEE-754 constants.
- Show all available digits in exp notation.
CORE-14871

- Update help correspondingly.
2019-03-18 01:34:00 +01:00

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/*
* ReactOS Calc (RPN encoder/decoder for GMP/MPFR engine)
*
* Copyright 2007-2017, Carlo Bramini
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "calc.h"
typedef struct {
calc_node_t node;
void *next;
} stack_node_t;
typedef void (*operator_call)(calc_number_t *, calc_number_t *, calc_number_t *);
typedef struct {
unsigned int prec;
operator_call op_f;
operator_call op_i;
operator_call op_p;
} calc_operator_t;
static stack_node_t *stack;
static calc_node_t temp;
static BOOL percent_mode;
static void rpn_add_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_sub_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_mul_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_div_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_pow_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_sqr_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_and_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_or_f (calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_xor_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_shl_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_shr_f(calc_number_t *r, calc_number_t *a, calc_number_t *b);
/* Integer mode calculations */
static void rpn_add_i(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_sub_i(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_mul_i(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_div_i(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_mod_i(calc_number_t *r, calc_number_t *a, calc_number_t *b);
/* Percentage mode calculations */
static void rpn_add_p(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_sub_p(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_mul_p(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static void rpn_div_p(calc_number_t *r, calc_number_t *a, calc_number_t *b);
static const calc_operator_t operator_list[] = {
{ 0, NULL, NULL, NULL, }, // RPN_OPERATOR_PARENT
{ 0, NULL, NULL, NULL, }, // RPN_OPERATOR_PERCENT
{ 0, NULL, NULL, NULL, }, // RPN_OPERATOR_EQUAL
{ 1, rpn_or_f, rpn_or_f, NULL, }, // RPN_OPERATOR_OR
{ 2, rpn_xor_f, rpn_xor_f, NULL, }, // RPN_OPERATOR_XOR
{ 3, rpn_and_f, rpn_and_f, NULL, }, // RPN_OPERATOR_AND
{ 4, rpn_shl_f, rpn_shl_f, NULL, }, // RPN_OPERATOR_LSH
{ 4, rpn_shr_f, rpn_shr_f, NULL, }, // RPN_OPERATOR_RSH
{ 5, rpn_add_f, rpn_add_i, rpn_add_p, }, // RPN_OPERATOR_ADD
{ 5, rpn_sub_f, rpn_sub_i, rpn_sub_p, }, // RPN_OPERATOR_SUB
{ 6, rpn_mul_f, rpn_mul_i, rpn_mul_p, }, // RPN_OPERATOR_MULT
{ 6, rpn_div_f, rpn_div_i, rpn_div_p, }, // RPN_OPERATOR_DIV
{ 6, rpn_mod_i, rpn_mod_i, NULL, }, // RPN_OPERATOR_MOD
{ 7, rpn_pow_f, NULL, NULL, }, // RPN_OPERATOR_POW
{ 7, rpn_sqr_f, NULL, NULL, }, // RPN_OPERATOR_SQR
};
static void node_copy(calc_node_t *dst, calc_node_t *src)
{
mpfr_set(dst->number.mf, src->number.mf, MPFR_DEFAULT_RND);
dst->operation = src->operation;
}
static calc_node_t *pop(void)
{
void *next;
if (stack == NULL)
return NULL;
/* copy the node */
node_copy(&temp, &stack->node);
next = stack->next;
/* free the node */
mpfr_clear(stack->node.number.mf);
free(stack);
stack = next;
return &temp;
}
static int is_stack_empty(void)
{
return (stack == NULL);
}
static void push(calc_node_t *op)
{
stack_node_t *z = (stack_node_t *)malloc(sizeof(stack_node_t));
mpfr_init_set(z->node.number.mf, op->number.mf, MPFR_DEFAULT_RND);
z->node.operation = op->operation;
z->next = stack;
stack = z;
}
/*
static unsigned int get_prec(unsigned int opc)
{
unsigned int x;
for (x=0; x<SIZEOF(operator_list); x++)
if (operator_list[x].opc == opc) break;
return operator_list[x].prec;
}
*/
typedef void (*exec_call_t)
__GMP_PROTO ((mpz_ptr, mpz_srcptr, mpz_srcptr));
static void rpn_exec_int(calc_number_t *r, calc_number_t *a, calc_number_t *b, exec_call_t cb)
{
mpz_t ai, bi;
mpz_init(ai);
mpz_init(bi);
mpfr_get_z(ai, a->mf, MPFR_DEFAULT_RND);
mpfr_get_z(bi, b->mf, MPFR_DEFAULT_RND);
cb(ai, ai, bi);
mpfr_set_z(r->mf, ai, MPFR_DEFAULT_RND);
mpz_clear(ai);
mpz_clear(bi);
}
/* Real mode calculations */
static void rpn_add_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_add(r->mf, a->mf, b->mf, MPFR_DEFAULT_RND);
}
static void rpn_sub_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_sub(r->mf, a->mf, b->mf, MPFR_DEFAULT_RND);
}
static void rpn_mul_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_mul(r->mf, a->mf, b->mf, MPFR_DEFAULT_RND);
}
static void rpn_div_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
if (mpfr_sgn(b->mf) == 0)
calc.is_nan = TRUE;
else
mpfr_div(r->mf, a->mf, b->mf, MPFR_DEFAULT_RND);
}
static void rpn_and_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
rpn_exec_int(r, a, b, mpz_and);
}
static void rpn_or_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
rpn_exec_int(r, a, b, mpz_ior);
}
static void rpn_xor_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
rpn_exec_int(r, a, b, mpz_xor);
}
static void rpn_shl_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
unsigned long e;
mpfr_trunc(r->mf, b->mf);
if (mpfr_fits_ulong_p(r->mf, MPFR_DEFAULT_RND) == 0)
calc.is_nan = TRUE;
else {
e = mpfr_get_ui(r->mf, MPFR_DEFAULT_RND);
mpfr_mul_2exp(r->mf, a->mf, e, MPFR_DEFAULT_RND);
}
}
static void rpn_shr_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
unsigned long e;
mpfr_trunc(r->mf, b->mf);
if (mpfr_fits_ulong_p(r->mf, MPFR_DEFAULT_RND) == 0)
calc.is_nan = TRUE;
else {
e = mpfr_get_ui(r->mf, MPFR_DEFAULT_RND);
mpfr_div_2exp(r->mf, a->mf, e, MPFR_DEFAULT_RND);
}
}
static void rpn_pow_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_pow(r->mf, a->mf, b->mf, MPFR_DEFAULT_RND);
}
static void rpn_sqr_f(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
if (mpfr_sgn(b->mf) == 0)
calc.is_nan = TRUE;
else {
mpfr_t tmp;
mpfr_init(tmp);
mpfr_set(tmp, b->mf, MPFR_DEFAULT_RND);
mpfr_ui_div(tmp, 1, tmp, MPFR_DEFAULT_RND);
mpfr_pow(r->mf, a->mf, tmp, MPFR_DEFAULT_RND);
mpfr_clear(tmp);
}
}
/* Integer mode calculations */
static void rpn_add_i(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
rpn_exec_int(r, a, b, mpz_add);
}
static void rpn_sub_i(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
rpn_exec_int(r, a, b, mpz_sub);
}
static void rpn_mul_i(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
rpn_exec_int(r, a, b, mpz_mul);
}
static void rpn_div_i(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
if (mpfr_sgn(b->mf) == 0)
calc.is_nan = TRUE;
else
rpn_exec_int(r, a, b, mpz_tdiv_q);
}
static void rpn_mod_i(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
if (mpfr_sgn(b->mf) == 0)
calc.is_nan = TRUE;
else
rpn_exec_int(r, a, b, mpz_tdiv_r);
}
/* Percent mode calculations */
static void rpn_add_p(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_t tmp;
mpfr_init(tmp);
mpfr_set(tmp, b->mf, MPFR_DEFAULT_RND);
mpfr_div_ui(tmp, tmp, 100, MPFR_DEFAULT_RND);
mpfr_add_ui(tmp, tmp, 1, MPFR_DEFAULT_RND);
mpfr_mul(r->mf, a->mf, tmp, MPFR_DEFAULT_RND);
mpfr_clear(tmp);
}
static void rpn_sub_p(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_t tmp;
mpfr_init(tmp);
mpfr_set(tmp, b->mf, MPFR_DEFAULT_RND);
mpfr_div_ui(tmp, tmp, 100, MPFR_DEFAULT_RND);
mpfr_sub_ui(tmp, tmp, 1, MPFR_DEFAULT_RND);
mpfr_mul(r->mf, a->mf, tmp, MPFR_DEFAULT_RND);
mpfr_clear(tmp);
}
static void rpn_mul_p(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
mpfr_mul(r->mf, a->mf, b->mf, MPFR_DEFAULT_RND);
mpfr_div_ui(r->mf, r->mf, 100, MPFR_DEFAULT_RND);
}
static void rpn_div_p(calc_number_t *r, calc_number_t *a, calc_number_t *b)
{
if (mpfr_sgn(b->mf) == 0)
calc.is_nan = TRUE;
else {
mpfr_mul_ui(r->mf, a->mf, 100, MPFR_DEFAULT_RND);
mpfr_div(r->mf, r->mf, b->mf, MPFR_DEFAULT_RND);
}
}
void run_operator(calc_node_t *result,
calc_node_t *a,
calc_node_t *b,
unsigned int operation)
{
if (calc.base == IDC_RADIO_DEC) {
if (percent_mode) {
percent_mode = FALSE;
operator_list[operation].op_p(&result->number, &a->number, &b->number);
} else
operator_list[operation].op_f(&result->number, &a->number, &b->number);
} else {
operator_list[operation].op_i(&result->number, &a->number, &b->number);
/* apply final limiter to result */
apply_int_mask(&result->number);
}
}
static void evalStack(calc_number_t *number)
{
calc_node_t *op, ip;
unsigned int prec;
mpfr_init(ip.number.mf);
op = pop();
node_copy(&ip, op);
prec = operator_list[ip.operation].prec;
while (!is_stack_empty()) {
op = pop();
if (prec <= operator_list[op->operation].prec) {
if (op->operation == RPN_OPERATOR_PARENT) continue;
rpn_copy(&calc.prev, &ip.number);
run_operator(&ip, op, &ip, op->operation);
if (calc.is_nan) {
flush_postfix();
mpfr_clear(ip.number.mf);
return;
}
} else {
push(op);
break;
}
}
if (ip.operation != RPN_OPERATOR_EQUAL && ip.operation != RPN_OPERATOR_PERCENT)
push(&ip);
calc.prev_operator = op->operation;
rpn_copy(number, &ip.number);
mpfr_clear(ip.number.mf);
}
int exec_infix2postfix(calc_number_t *number, unsigned int func)
{
calc_node_t tmp;
if (is_stack_empty() && func == RPN_OPERATOR_EQUAL) {
/* if a number has been entered with exponential */
/* notation, I may update it with normal mode */
if (calc.sci_in)
return 1;
return 0;
}
if (func == RPN_OPERATOR_PERCENT)
percent_mode = TRUE;
mpfr_init(tmp.number.mf);
rpn_copy(&tmp.number, number);
tmp.operation = func;
push(&tmp);
mpfr_clear(tmp.number.mf);
if (func == RPN_OPERATOR_NONE)
return 0;
if (func != RPN_OPERATOR_PARENT) {
calc.last_operator = func;
evalStack(number);
}
return 1;
}
void exec_change_infix(void)
{
stack_node_t *op = stack;
if (op == NULL)
return;
if (op->node.operation == RPN_OPERATOR_PARENT ||
op->node.operation == RPN_OPERATOR_PERCENT ||
op->node.operation == RPN_OPERATOR_EQUAL)
return;
/* remove the head, it will be re-inserted with new operator */
pop();
}
void exec_closeparent(calc_number_t *number)
{
calc_node_t *op, ip;
rpn_alloc(&ip.number);
rpn_copy(&ip.number, number);
while (!is_stack_empty()) {
op = pop();
if (op->operation == RPN_OPERATOR_PARENT)
break;
run_operator(&ip, op, &ip, op->operation);
if (calc.is_nan) {
flush_postfix();
return;
}
}
rpn_copy(number, &ip.number);
rpn_free(&ip.number);
}
int eval_parent_count(void)
{
stack_node_t *s = stack;
int n = 0;
while (s != NULL) {
if (s->node.operation == RPN_OPERATOR_PARENT)
n++;
s = (stack_node_t *)(s->next);
}
return n;
}
void flush_postfix(void)
{
while (!is_stack_empty())
pop();
/* clear prev and last typed operators */
calc.prev_operator =
calc.last_operator = 0;
}
void start_rpn_engine(void)
{
mpf_set_default_prec(512);
mpfr_set_default_prec(512);
stack = NULL;
mpfr_init(calc.code.mf);
mpfr_init(calc.prev.mf);
mpfr_init(calc.memory.number.mf);
mpfr_init(temp.number.mf);
rpn_zero(&calc.memory.number);
}
void stop_rpn_engine(void)
{
mpfr_clear(calc.code.mf);
mpfr_clear(calc.prev.mf);
mpfr_clear(calc.memory.number.mf);
mpfr_clear(temp.number.mf);
}
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