def old_dec(star_adjusted_declination):
    dec_x = star_adjusted_declination
    if star_adjusted_declination > 0: # Positive declinations
        dec_x = star_adjusted_declination % 360
        # map from 0 to 90 (positive declinations)
        if dec_x > 90 and dec_x <= 180:
            dec_x = 90 + (90 - dec_x)
        # map from 0 to -90 (negative declinations)
        if dec_x <= 270 and dec_x > 180:
            dec_x = 180 - dec_x
        if dec_x < 360 and dec_x > 270:
            dec_x = -90 + (dec_x - 270)
    if star_adjusted_declination < -0: # Negative declinations
        dec_x = star_adjusted_declination % -360
        # map from 0 to -90 (negative declinations)
        if dec_x < -90 and dec_x >= -180:
            dec_x = -90 - (90 + dec_x)
        # map from 0 to 90 (positive declinations)
        if dec_x >= -270 and dec_x <= -180:
            dec_x = 180 + dec_x
            dec_x = abs(dec_x)
        if dec_x > -360 and dec_x < -270:
            dec_x = 90 + (dec_x + 270)
    return dec_x

def new_dec(dec):
    dec %= 360 # dec in [0, 360)
    if dec >= 270:
        dec -= 360 # dec in [-90, 270)
    if dec >= 90:
        dec = 180 - dec # ensure dec in [-90, 90)
    return dec

def test_both():
    print('input\told\tnew')
    for angle in range(0, 360 * 10, 15):
        for sign in [-1, 1]:
            test_angle = sign * angle
            old = old_dec(test_angle)
            new = new_dec(test_angle)
            assert old == new
            print(f'{test_angle}\t{old}\t{new}')

test_both()