mirror of
https://github.com/CTCaer/hekate
synced 2024-09-07 08:39:00 +00:00
166 lines
4.4 KiB
C
166 lines
4.4 KiB
C
![]() |
/**
|
||
|
* @file lv_math.c
|
||
|
*
|
||
|
*/
|
||
|
|
||
|
/*********************
|
||
|
* INCLUDES
|
||
|
*********************/
|
||
|
#include "lv_math.h"
|
||
|
#include <stdbool.h>
|
||
|
|
||
|
/*********************
|
||
|
* DEFINES
|
||
|
*********************/
|
||
|
|
||
|
/**********************
|
||
|
* TYPEDEFS
|
||
|
**********************/
|
||
|
|
||
|
/**********************
|
||
|
* STATIC PROTOTYPES
|
||
|
**********************/
|
||
|
|
||
|
/**********************
|
||
|
* STATIC VARIABLES
|
||
|
**********************/
|
||
|
static int16_t sin0_90_table[] = {
|
||
|
0, 572, 1144, 1715, 2286, 2856, 3425, 3993, 4560, 5126,
|
||
|
5690, 6252, 6813, 7371, 7927, 8481, 9032, 9580, 10126, 10668,
|
||
|
11207, 11743, 12275, 12803, 13328, 13848, 14364, 14876, 15383, 15886,
|
||
|
16383, 16876, 17364, 17846, 18323, 18794, 19260, 19720, 20173, 20621,
|
||
|
21062, 21497, 21925, 22347, 22762, 23170, 23571, 23964, 24351, 24730,
|
||
|
25101, 25465, 25821, 26169, 26509, 26841, 27165, 27481, 27788, 28087,
|
||
|
28377, 28659, 28932, 29196, 29451, 29697, 29934, 30162, 30381, 30591,
|
||
|
30791, 30982, 31163, 31335, 31498, 31650, 31794, 31927, 32051, 32165,
|
||
|
32269, 32364, 32448, 32523, 32587, 32642, 32687, 32722, 32747, 32762,
|
||
|
32767
|
||
|
};
|
||
|
|
||
|
|
||
|
/**********************
|
||
|
* MACROS
|
||
|
**********************/
|
||
|
|
||
|
/**********************
|
||
|
* GLOBAL FUNCTIONS
|
||
|
**********************/
|
||
|
|
||
|
/**
|
||
|
* Convert a number to string
|
||
|
* @param num a number
|
||
|
* @param buf pointer to a `char` buffer. The result will be stored here (max 10 elements)
|
||
|
* @return same as `buf` (just for convenience)
|
||
|
*/
|
||
|
char * lv_math_num_to_str(int32_t num, char * buf)
|
||
|
{
|
||
|
char * buf_ori = buf;
|
||
|
if(num == 0) {
|
||
|
buf[0] = '0';
|
||
|
buf[1] = '\0';
|
||
|
return buf;
|
||
|
} else if(num < 0) {
|
||
|
(*buf) = '-';
|
||
|
buf++;
|
||
|
num = LV_MATH_ABS(num);
|
||
|
}
|
||
|
uint32_t output = 0;
|
||
|
int8_t i;
|
||
|
|
||
|
for(i = 31; i >= 0; i--) {
|
||
|
if((output & 0xF) >= 5)
|
||
|
output += 3;
|
||
|
if(((output & 0xF0) >> 4) >= 5)
|
||
|
output += (3 << 4);
|
||
|
if(((output & 0xF00) >> 8) >= 5)
|
||
|
output += (3 << 8);
|
||
|
if(((output & 0xF000) >> 12) >= 5)
|
||
|
output += (3 << 12);
|
||
|
if(((output & 0xF0000) >> 16) >= 5)
|
||
|
output += (3 << 16);
|
||
|
if(((output & 0xF00000) >> 20) >= 5)
|
||
|
output += (3 << 20);
|
||
|
if(((output & 0xF000000) >> 24) >= 5)
|
||
|
output += (3 << 24);
|
||
|
if(((output & 0xF0000000) >> 28) >= 5)
|
||
|
output += (3 << 28);
|
||
|
output = (output << 1) | ((num >> i) & 1);
|
||
|
}
|
||
|
|
||
|
uint8_t digit;
|
||
|
bool leading_zero_ready = false;
|
||
|
for(i = 28; i >= 0; i -= 4) {
|
||
|
digit = ((output >> i) & 0xF) + '0';
|
||
|
if(digit == '0' && leading_zero_ready == false) continue;
|
||
|
|
||
|
leading_zero_ready = true;
|
||
|
(*buf) = digit;
|
||
|
buf++;
|
||
|
}
|
||
|
|
||
|
(*buf) = '\0';
|
||
|
|
||
|
return buf_ori;
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Return with sinus of an angle
|
||
|
* @param angle
|
||
|
* @return sinus of 'angle'. sin(-90) = -32767, sin(90) = 32767
|
||
|
*/
|
||
|
int16_t lv_trigo_sin(int16_t angle)
|
||
|
{
|
||
|
int16_t ret = 0;
|
||
|
angle = angle % 360;
|
||
|
|
||
|
if(angle < 0) angle = 360 + angle;
|
||
|
|
||
|
if(angle < 90) {
|
||
|
ret = sin0_90_table[angle];
|
||
|
} else if(angle >= 90 && angle < 180) {
|
||
|
angle = 180 - angle;
|
||
|
ret = sin0_90_table[angle];
|
||
|
} else if(angle >= 180 && angle < 270) {
|
||
|
angle = angle - 180;
|
||
|
ret = - sin0_90_table[angle];
|
||
|
} else { /*angle >=270*/
|
||
|
angle = 360 - angle;
|
||
|
ret = - sin0_90_table[angle];
|
||
|
}
|
||
|
|
||
|
return ret;
|
||
|
}
|
||
|
|
||
|
/**
|
||
|
* Calculate a value of a Cubic Bezier function.
|
||
|
* @param t time in range of [0..LV_BEZIER_VAL_MAX]
|
||
|
* @param u0 start values in range of [0..LV_BEZIER_VAL_MAX]
|
||
|
* @param u1 control value 1 values in range of [0..LV_BEZIER_VAL_MAX]
|
||
|
* @param u2 control value 2 in range of [0..LV_BEZIER_VAL_MAX]
|
||
|
* @param u3 end values in range of [0..LV_BEZIER_VAL_MAX]
|
||
|
* @return the value calculated from the given parameters in range of [0..LV_BEZIER_VAL_MAX]
|
||
|
*/
|
||
|
int32_t lv_bezier3(uint32_t t, int32_t u0, int32_t u1, int32_t u2, int32_t u3)
|
||
|
{
|
||
|
uint32_t t_rem = 1024 - t;
|
||
|
uint32_t t_rem2 = (t_rem * t_rem) >> 10;
|
||
|
uint32_t t_rem3 = (t_rem2 * t_rem) >> 10;
|
||
|
uint32_t t2 = (t * t) >> 10;
|
||
|
uint32_t t3 = (t2 * t) >> 10;
|
||
|
|
||
|
|
||
|
uint32_t v1 = ((uint32_t)t_rem3 * u0) >> 10;
|
||
|
uint32_t v2 = ((uint32_t)3 * t_rem2 * t * u1) >> 20;
|
||
|
uint32_t v3 = ((uint32_t)3 * t_rem * t2 * u2) >> 20;
|
||
|
uint32_t v4 = ((uint32_t)t3 * u3) >> 10;
|
||
|
|
||
|
return v1 + v2 + v3 + v4;
|
||
|
|
||
|
}
|
||
|
|
||
|
/**********************
|
||
|
* STATIC FUNCTIONS
|
||
|
**********************/
|
||
|
|
||
|
|