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lutgen.c
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lutgen.c
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/*
* Prints various lookup tables for math functions as C arrays
*
* gcc lutgen.c -o lutgen -lm
*
* ./lutgen > mathtabs.c
*/
#include <stdint.h>
#include <stdio.h>
#include <math.h>
#define COLUMNS 12
#define MULTAB_SIZE 64
#define DIVTAB_SIZE 1024
#define MODTAB_SIZE 1024
#define SINTAB_SIZE 0x100
#define MULTIPLIER 1.5
#define TANTAB_SIZE 0x20
#define PIBT ((360.00f / (float)(TANTAB_SIZE * 4)) * (3.14159265f / 180.00f))
#define NTSCTAB_SIZE 0x400
int truncate(double x) {
return (x - (int)x) < 0.75 ? (int)x : (int)(x + 1);
}
void do_multable(int val, int size) {
printf("const int16_t mul%d[%d] = {", val, size);
for(int i = 0; i < size; i++) {
if ((i % COLUMNS) == 0) printf("\n\t");
printf("%d,", i * val);
}
printf("\n};\n\n");
}
void do_divtable(int val, int size) {
printf("const uint8_t div%d[%d] = {", val, size);
for(int i = 0; i < size; i++) {
if ((i % (val*2)) == 0) printf("\n\t");
printf("%d,", i / val);
}
printf("\n};\n\n");
}
void do_modtable(int val, int size) {
printf("const uint8_t mod%d[%d] = {", val, size);
for(int i = 0; i < size; i++) {
if ((i % (val*2)) == 0) printf("\n\t");
printf("%d,", i % val);
}
printf("\n};\n\n");
}
void do_sintable(int scale, int size) {
int16_t table[0x100];
table[0x00] = 0;
table[0x40] = scale;
table[0x80] = 0;
table[0xC0] = -scale;
for (int i = 1; i < 0x40; i++) {
table[i] = (sin(i * 3.1415926 / 0x80) * scale + 0.5);
table[0x80-i] = table[i];
table[0x80+i] = -table[i];
table[0x100-i] = -table[i];
}
printf("const int16_t sin[0x%X] = {", size);
for (int i = 0; i < 0x100; i++) {
if ((i % 8) == 0) printf("\n\t");
printf("0x%04hX,", table[i]);
}
printf("\n};\n\n");
printf("const int16_t cos[0x%X] = {", size);
for (int i = 0x40; i < 0x140; i++) {
if ((i % 8) == 0) printf("\n\t");
printf("0x%04hX,", table[i & 0xFF]);
}
printf("\n};\n\n");
table[0x00] = 0;
table[0x40] = scale * MULTIPLIER;
table[0x80] = 0;
table[0xC0] = -scale * MULTIPLIER;
for (int i = 1; i < 0x40; i++) {
table[i] = (sin(i * 3.1415926 / 0x80) * scale + 0.5 * MULTIPLIER);
table[0x80-i] = table[i];
table[0x80+i] = -table[i];
table[0x100-i] = -table[i];
}
printf("const int16_t sin2[0x%X] = {", size);
for (int i = 0; i < 0x100; i++) {
if ((i % 8) == 0) printf("\n\t");
printf("0x%04hX,", table[i]);
}
printf("\n};\n\n");
printf("const int16_t cos2[0x%X] = {", size);
for (int i = 0x40; i < 0x140; i++) {
if ((i % 8) == 0) printf("\n\t");
printf("0x%04hX,", table[i & 0xFF]);
}
printf("\n};\n\n");
}
int main() {
printf("#include \"common.h\"\n\n");
// Multiplication Tables
do_multable(3, MULTAB_SIZE);
do_multable(6, MULTAB_SIZE);
do_multable(9, MULTAB_SIZE);
do_multable(12, MULTAB_SIZE);
// Division Tables
do_divtable(10, DIVTAB_SIZE);
// Modulus Tables
do_modtable(10, DIVTAB_SIZE);
// Sine / Cosine
do_sintable(512, SINTAB_SIZE);
// Tangent
printf("const uint32_t tan_table[0x%X] = {\n", TANTAB_SIZE + 1);
for(int i = 0; i < TANTAB_SIZE; i++) {
printf("\t0x%08X,\n", (int)(tan((double)i * PIBT) * (1 << 13)));
}
printf("\t0xFFFFFFFF,\n");
printf("};\n\n");
// NTSC Time/Speeds
printf("const uint16_t time_tab_ntsc[0x%X] = {\n", NTSCTAB_SIZE);
for(int i = 0; i < NTSCTAB_SIZE; i += COLUMNS) {
printf("\t");
for(int j = i; j < i + COLUMNS; j++) {
double time = ((double)j) * 6.0 / 5.0;
printf("0x%04x,", truncate(time));
}
printf("\n");
}
printf("};\n\n");
printf("const uint16_t speed_tab_ntsc[0x%X] = {\n", NTSCTAB_SIZE);
for(int i = 0; i < NTSCTAB_SIZE; i += COLUMNS) {
printf("\t");
for(int j = i; j < i + COLUMNS; j++) {
double speed = ((double)j) * 5.0 / 6.0;
printf("0x%04x,", truncate(speed));
}
printf("\n");
}
printf("};\n\n");
// PAL Time/Speeds (same as index)
printf("const uint16_t time_tab_pal[0x%X] = {\n", NTSCTAB_SIZE);
for(int i = 0; i < NTSCTAB_SIZE; i += COLUMNS) {
printf("\t");
for(int j = i; j < i + COLUMNS; j++) printf("0x%04X,", j);
printf("\n");
}
printf("};\n\n");
printf("const uint16_t speed_tab_pal[0x%X] = {\n", NTSCTAB_SIZE);
for(int i = 0; i < NTSCTAB_SIZE; i += COLUMNS) {
printf("\t");
for(int j = i; j < i + COLUMNS; j++) printf("0x%04x,", j);
printf("\n");
}
printf("};\n\n");
}