4cade/res/notes/transitions/butterfly.py
2019-10-30 19:12:03 -04:00

61 lines
2.2 KiB
Python
Executable File

#!/usr/bin/env python3
from math import sqrt, sin, cos, acos, pi
import util
# Graph is plotted across the entire HGR screen, but only coordinates
# - in the left half of the screen, AND
# - on even rows, AND
# - on even columns
# are included. It is assumed that the graph is symmetrical across
# the left and half sides of the screen (along an axis at X=140).
#
# X coordinates are converted to byte+bitmask (but see notes below).
# Y coordinates are flipped (so 0,0 ends up on the bottom left) then
# incremented by 1 so that 0 can terminate the loop,
#
# 6502 code will be responsible for plotting each of these coordinates
# in a 2x2 block. The bitmask usually includes 2 adjacent pixels;
# the code will also plot the same 2 adjacent pixels in the adjacent row,
# AND mirror both of those plots in the right half of the screen.
#
# Unfortunately, since bytes are 7 bits across, some blocks will cross a
# byte boundary. To simplify the 6502 code, those are simply listed as
# separate coordinate pairs, each with a bitmask that includes 1 pixel
# instead of 2.
max_x = 280
max_y = 192
def f(theta, k):
r = k*(12-sin(theta)+2*sin(3*theta)+2*sin(5*theta)-sin(7*theta)+3*cos(2*theta)-2*cos(4*theta))
return r*cos(theta),r*sin(theta)
coords = []
for k_mul in range(3000):
for t_mul in range(int(pi*1000+1)):
a, b = f(float(t_mul/100), float(k_mul)/100.0)
x = round(max_x//2+a*1.2)
y = round(max_y//2+b)
if (x % 2 != 0) or (y % 2 != 0):
continue
if x < 0 or x >= max_x//2 or y < 0 or y >= max_y:
continue
coords.append((x,y))
unique_coords = util.unique(coords)
unique_vals = util.vals_2bit(unique_coords)
with open("../../../src/fx/fx.hgr.butterfly.data.a", "w") as f:
for aval, bval in unique_vals:
f.write(" !byte %s,%s\n" % (aval, bval))
ripple_vals = util.ripple(unique_vals)
with open("../../../src/fx/fx.hgr.butterfly.ripple.data.a", "w") as f:
for aval, bval in ripple_vals:
f.write(" !byte %s,%s\n" % (aval, bval))
unique_vals.reverse()
with open("../../../src/fx/fx.hgr.butterfly.in.data.a", "w") as f:
for aval, bval in unique_vals:
f.write(" !byte %s,%s\n" % (aval, bval))