analogue clock

CLOCK_MULTIPLIER = pi / 30;
TOTAL_COUNT = 120;
ONE_COUNT = 36;
ONE_THIRD = ONE_COUNT / TOTAL_COUNT;

FACE_SIZE = 120;
SEC_LENGTH = 370;
MIN_LENGTH = 280;
HOUR_LENGTH = 200;

second = time % 60;
second_circum = second * CLOCK_MULTIPLIER;

minute = time / 60;
minute_circum = minute * CLOCK_MULTIPLIER;

hour = time / 3600;
hour_circum = (hour / 12) * 60 * CLOCK_MULTIPLIER;

#clockhand

#seconds
is_second = floor(index / ONE_COUNT) == 0;
sin_sec = sin(second_circum);
cos_sec = cos(second_circum);

#set to origin (hand for seconds):
sec_x = 0;
sec_y = (fraction - 0.03) * is_second * SEC_LENGTH;

sec_tx = sec_x * cos_sec + sec_y * sin_sec;
sec_ty = sec_y * cos_sec + sec_x * sin_sec;

#minutes
is_minute = floor((index - ONE_COUNT) / ONE_COUNT) == 0;
sin_min = sin(minute_circum);
cos_min = cos(minute_circum);

#set to origin (hands for minutes):
min_x = 0;
min_y = (fraction - ONE_THIRD - 0.04) * is_minute * MIN_LENGTH;

min_tx = min_x * cos_min + min_y * sin_min;
min_ty = min_y * cos_min + min_x * sin_min;


#hours
is_hour = floor((index - ONE_COUNT * 2) / ONE_COUNT) == 0;
sin_hour = sin(hour_circum);
cos_hour = cos(hour_circum);

#set to origin (hands for hours):
hour_x = 0;
hour_y = (fraction - ONE_THIRD * 2 - 0.05) * is_hour * HOUR_LENGTH;

hour_tx = hour_x * cos_hour + hour_y * sin_hour;
hour_ty = hour_y * cos_hour + hour_x * sin_hour;


#CLOCKFACE

face_index = (index - ONE_COUNT * 3) / (TOTAL_COUNT - ONE_COUNT * 3);
is_clockface = (floor(face_index) == 0) * FACE_SIZE;
face_rotation = face_index * tau;
face_x = sin(face_rotation) * is_clockface;
face_y = cos(face_rotation) * is_clockface;

#if its second, it will only be affected by seconds.
#if its minute, it will only be affected by minutes

x' = sec_tx + min_tx + hour_tx + face_x;
y' = sec_ty + min_ty + hour_ty + face_y;

h = 0;
s = 0;
v = 1;