#include <stdio.h>
#include <math.h>
#include <stdlib.h>
#define EQUAL_ALPHA 50.0f // 等百分比范围比
#define LOG_ALPHA log(EQUAL_ALPHA)

static inline float32 logarithmic_conversion(float32 setpoint)
{
    static const float32 b = 13.24f;
    static const float32 linear_coefficient = 0.123f;
    static const float32 base_log = 0.6931471805599453f; // 直接使用log(2)的预计算值
    float32 res = 0.0f;
    if (setpoint <= 0)
    {
        return 0;
    }
    else if (setpoint >= 100)
    {
        return 100;
    }
    else
    {
        res = b * log(setpoint) / base_log + linear_coefficient * setpoint;
        if (res < 0)
        {
            res = 0.0f;
        }
        else if (res > 100)
        {
            res = 100.0f;
        }
        return res;
    }
}

void quick_open(void)
{
    printf("quick_open:\n");
    for (uint8_t i = 0; i < 20; i++)
    {
        printf("x = %d, y =  %f\n", 5 + i * 5, logarithmic_conversion(5 + i * 5));
    }
    printf("\n");
}

void equal_proportion(void)
{
    uint8_t x = 0; // 指定的x值
    printf("equal_proportion:\n");
    for (uint8_t i = 0; i <= 20; i++)
    {
        x = i * 5;
        printf("x = %d, y =  %f\n", x, (exp(x * 0.01f * LOG_ALPHA) - 1) * 100 / (EQUAL_ALPHA - 1));
    }
    printf("\n");
}

int main()
{
    equal_proportion();
    quick_open();
}