Fixed-point functions can take specific precision (#1086)

This commit is contained in:
Rangi
2022-10-02 10:56:08 -04:00
committed by GitHub
parent 8553b61a94
commit 3c049983f1
7 changed files with 143 additions and 94 deletions

View File

@@ -11,7 +11,6 @@
#include <inttypes.h>
#include <math.h>
#include <stdint.h>
#include <stdio.h>
#include "asm/fixpoint.h"
#include "asm/symbol.h"
@@ -21,8 +20,8 @@
#define M_PI 3.14159265358979323846
#endif
#define fix2double(i) ((double)((i) / fix_PrecisionFactor()))
#define double2fix(d) ((int32_t)round((d) * fix_PrecisionFactor()))
#define fix2double(i, q) ((double)((i) / pow(2.0, q)))
#define double2fix(d, q) ((int32_t)round((d) * pow(2.0, q)))
// 2*pi radians == 1 turn
#define turn2rad(f) ((f) * (M_PI * 2))
@@ -30,96 +29,87 @@
uint8_t fixPrecision;
uint8_t fix_Precision(void)
{
return fixPrecision;
}
double fix_PrecisionFactor(void)
{
return pow(2.0, fixPrecision);
}
void fix_Print(int32_t i)
int32_t fix_Sin(int32_t i, int32_t q)
{
uint32_t u = i;
char const *sign = "";
if (i < 0) {
u = -u;
sign = "-";
}
printf("%s%" PRIu32 ".%05" PRIu32, sign, u >> fixPrecision,
((uint32_t)(fix2double(u) * 100000 + 0.5)) % 100000);
return double2fix(sin(turn2rad(fix2double(i, q))), q);
}
int32_t fix_Sin(int32_t i)
int32_t fix_Cos(int32_t i, int32_t q)
{
return double2fix(sin(turn2rad(fix2double(i))));
return double2fix(cos(turn2rad(fix2double(i, q))), q);
}
int32_t fix_Cos(int32_t i)
int32_t fix_Tan(int32_t i, int32_t q)
{
return double2fix(cos(turn2rad(fix2double(i))));
return double2fix(tan(turn2rad(fix2double(i, q))), q);
}
int32_t fix_Tan(int32_t i)
int32_t fix_ASin(int32_t i, int32_t q)
{
return double2fix(tan(turn2rad(fix2double(i))));
return double2fix(rad2turn(asin(fix2double(i, q))), q);
}
int32_t fix_ASin(int32_t i)
int32_t fix_ACos(int32_t i, int32_t q)
{
return double2fix(rad2turn(asin(fix2double(i))));
return double2fix(rad2turn(acos(fix2double(i, q))), q);
}
int32_t fix_ACos(int32_t i)
int32_t fix_ATan(int32_t i, int32_t q)
{
return double2fix(rad2turn(acos(fix2double(i))));
return double2fix(rad2turn(atan(fix2double(i, q))), q);
}
int32_t fix_ATan(int32_t i)
int32_t fix_ATan2(int32_t i, int32_t j, int32_t q)
{
return double2fix(rad2turn(atan(fix2double(i))));
return double2fix(rad2turn(atan2(fix2double(i, q), fix2double(j, q))), q);
}
int32_t fix_ATan2(int32_t i, int32_t j)
int32_t fix_Mul(int32_t i, int32_t j, int32_t q)
{
return double2fix(rad2turn(atan2(fix2double(i), fix2double(j))));
return double2fix(fix2double(i, q) * fix2double(j, q), q);
}
int32_t fix_Mul(int32_t i, int32_t j)
int32_t fix_Div(int32_t i, int32_t j, int32_t q)
{
return double2fix(fix2double(i) * fix2double(j));
return double2fix(fix2double(i, q) / fix2double(j, q), q);
}
int32_t fix_Div(int32_t i, int32_t j)
int32_t fix_Mod(int32_t i, int32_t j, int32_t q)
{
return double2fix(fix2double(i) / fix2double(j));
return double2fix(fmod(fix2double(i, q), fix2double(j, q)), q);
}
int32_t fix_Mod(int32_t i, int32_t j)
int32_t fix_Pow(int32_t i, int32_t j, int32_t q)
{
return double2fix(fmod(fix2double(i), fix2double(j)));
return double2fix(pow(fix2double(i, q), fix2double(j, q)), q);
}
int32_t fix_Pow(int32_t i, int32_t j)
int32_t fix_Log(int32_t i, int32_t j, int32_t q)
{
return double2fix(pow(fix2double(i), fix2double(j)));
return double2fix(log(fix2double(i, q)) / log(fix2double(j, q)), q);
}
int32_t fix_Log(int32_t i, int32_t j)
int32_t fix_Round(int32_t i, int32_t q)
{
return double2fix(log(fix2double(i)) / log(fix2double(j)));
return double2fix(round(fix2double(i, q)), q);
}
int32_t fix_Round(int32_t i)
int32_t fix_Ceil(int32_t i, int32_t q)
{
return double2fix(round(fix2double(i)));
return double2fix(ceil(fix2double(i, q)), q);
}
int32_t fix_Ceil(int32_t i)
int32_t fix_Floor(int32_t i, int32_t q)
{
return double2fix(ceil(fix2double(i)));
}
int32_t fix_Floor(int32_t i)
{
return double2fix(floor(fix2double(i)));
return double2fix(floor(fix2double(i, q)), q);
}

View File

@@ -550,6 +550,7 @@ enum {
%token T_OP_BANK "BANK"
%token T_OP_ALIGN "ALIGN"
%token T_OP_SIZEOF "SIZEOF" T_OP_STARTOF "STARTOF"
%token T_OP_SIN "SIN" T_OP_COS "COS" T_OP_TAN "TAN"
%token T_OP_ASIN "ASIN" T_OP_ACOS "ACOS" T_OP_ATAN "ATAN" T_OP_ATAN2 "ATAN2"
%token T_OP_FDIV "FDIV"
@@ -559,6 +560,7 @@ enum {
%token T_OP_LOG "LOG"
%token T_OP_ROUND "ROUND"
%token T_OP_CEIL "CEIL" T_OP_FLOOR "FLOOR"
%type <constValue> opt_q_arg
%token T_OP_HIGH "HIGH" T_OP_LOW "LOW"
%token T_OP_ISCONST "ISCONST"
@@ -1466,50 +1468,50 @@ relocexpr_no_str : scoped_anon_id { rpn_Symbol(&$$, $1); }
lexer_ToggleStringExpansion(true);
}
| T_OP_ROUND T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_Round($3));
| T_OP_ROUND T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Round($3, $4));
}
| T_OP_CEIL T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_Ceil($3));
| T_OP_CEIL T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Ceil($3, $4));
}
| T_OP_FLOOR T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_Floor($3));
| T_OP_FLOOR T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Floor($3, $4));
}
| T_OP_FDIV T_LPAREN const T_COMMA const T_RPAREN {
rpn_Number(&$$, fix_Div($3, $5));
| T_OP_FDIV T_LPAREN const T_COMMA const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Div($3, $5, $6));
}
| T_OP_FMUL T_LPAREN const T_COMMA const T_RPAREN {
rpn_Number(&$$, fix_Mul($3, $5));
| T_OP_FMUL T_LPAREN const T_COMMA const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Mul($3, $5, $6));
}
| T_OP_FMOD T_LPAREN const T_COMMA const T_RPAREN {
rpn_Number(&$$, fix_Mod($3, $5));
| T_OP_FMOD T_LPAREN const T_COMMA const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Mod($3, $5, $6));
}
| T_OP_POW T_LPAREN const T_COMMA const T_RPAREN {
rpn_Number(&$$, fix_Pow($3, $5));
| T_OP_POW T_LPAREN const T_COMMA const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Pow($3, $5, $6));
}
| T_OP_LOG T_LPAREN const T_COMMA const T_RPAREN {
rpn_Number(&$$, fix_Log($3, $5));
| T_OP_LOG T_LPAREN const T_COMMA const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Log($3, $5, $6));
}
| T_OP_SIN T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_Sin($3));
| T_OP_SIN T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Sin($3, $4));
}
| T_OP_COS T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_Cos($3));
| T_OP_COS T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Cos($3, $4));
}
| T_OP_TAN T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_Tan($3));
| T_OP_TAN T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_Tan($3, $4));
}
| T_OP_ASIN T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_ASin($3));
| T_OP_ASIN T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_ASin($3, $4));
}
| T_OP_ACOS T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_ACos($3));
| T_OP_ACOS T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_ACos($3, $4));
}
| T_OP_ATAN T_LPAREN const T_RPAREN {
rpn_Number(&$$, fix_ATan($3));
| T_OP_ATAN T_LPAREN const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_ATan($3, $4));
}
| T_OP_ATAN2 T_LPAREN const T_COMMA const T_RPAREN {
rpn_Number(&$$, fix_ATan2($3, $5));
| T_OP_ATAN2 T_LPAREN const T_COMMA const opt_q_arg T_RPAREN {
rpn_Number(&$$, fix_ATan2($3, $5, $6));
}
| T_OP_STRCMP T_LPAREN string T_COMMA string T_RPAREN {
rpn_Number(&$$, strcmp($3, $5));
@@ -1536,7 +1538,7 @@ relocexpr_no_str : scoped_anon_id { rpn_Symbol(&$$, $1); }
uconst : const {
$$ = $1;
if ($$ < 0)
fatalerror("Constant mustn't be negative: %d\n", $1);
fatalerror("Constant must not be negative: %d\n", $1);
}
;
@@ -1549,6 +1551,17 @@ const_no_str : relocexpr_no_str { $$ = rpn_GetConstVal(&$1); }
const_8bit : reloc_8bit { $$ = rpn_GetConstVal(&$1); }
;
opt_q_arg : %empty { $$ = fix_Precision(); }
| T_COMMA const {
if ($2 >= 1 && $2 <= 31) {
$$ = $2;
} else {
error("Fixed-point precision must be between 1 and 31\n");
$$ = fix_Precision();
}
}
;
string : T_STRING
| T_OP_STRSUB T_LPAREN string T_COMMA const T_COMMA uconst T_RPAREN {
size_t len = strlenUTF8($3);