def iter_explode(die_size):
for i in range(1, die_size - 1):
for j in range(i + 1, die_size - 1):
name = 'success on %d+, explode on %d+' % (i + 1, j + 1)
explode_chance = (die_size - j) / die_size
yield Die.from_faces([0] * i + [1] * (die_size - i)).explode(
10, chance=explode_chance).rename(name)
def iter_negative_success(die_size):
for i in range(1, die_size - 1):
for j in range(i + 1, die_size - 1):
name = 'success on %d+, negative success on %d or lower' % (j + 1,
i)
yield Die.from_faces([-1] * i + [0] * (j - i) + [1] *
(die_size - i - j)).rename(name)
def iter_dice(die_size, explode):
for faces in iter_faces(die_size):
base_die = Die.from_faces(faces)
if not explode:
yield base_die.rename('d' + str(die_size) + str(faces))
else:
if faces[0] == -1: return
max_explode = min(
faces.count(1) // 2, faces.count(0), die_size // 4)
for explode_faces in range(1, max_explode + 1):
if faces[-explode_faces] != 1: break
explode_chance = explode_faces / die_size
yield base_die.explode(10, chance=explode_chance).rename(
'd%d%s!%s' % (die_size, faces, explode_faces))
def iter_exploding_dice():
for die_size in [4, 6, 8, 10, 12]:
for i in range(1, die_size):
faces = [0]*i + [1]*(die_size-i)
for num_explode in range(0, die_size-i+1):
metadata = {
'size' : die_size,
'threshold' : i+1,
'feature' : 'none',
'faces' : [str(x) for x in faces],
'notes' : '',
}
if num_explode == 1:
metadata['feature'] = 'explode on %d' % die_size
elif num_explode == (die_size-i):
metadata['feature'] = 'explode on any success'
elif num_explode > 0:
metadata['feature'] = 'explode on %d+' % (die_size - num_explode + 1)
for j in range(num_explode):
metadata['faces'][-1-j] += '!'
if die_size == 10 and i == 7 and num_explode == 1: metadata['notes'] = 'New World of Darkness'
yield Die.from_faces(faces).explode(200, chance=num_explode/die_size), metadata
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
ax.plot(g_x, g_ccdf * 100.0, linestyle=':')
ax.plot(x_ccdf, ccdf * 100.0, marker='.')
ax.grid()
ax.set_xlim(left, right)
ax.set_xlabel('Deviation from mean (SDs)')
ax.set_ylabel('Chance to hit (%)')
ax.set_ylim(0, 100.0)
ax.set_title('%d pool size (KS = %0.2f%%)' % (pool_size, ks * 100.0))
ccdf_frame_path = 'output/frames/ccdf_%03d.png'
plt.savefig(ccdf_frame_path % frame_index,
dpi = dpi, bbox_inches = "tight")
plt.close()
make_webm(pmf_frame_path, 'output/success_pool_roe_%s_pmf.webm' % name)
make_webm(ccdf_frame_path, 'output/success_pool_roe_%s_ccdf.webm' % name)
#make_anim(Die.coin(1/6), 'd6_2plus')
#make_anim(Die.coin(2/6), 'd6_3plus')
make_anim(Die.coin(3/6), 'd6_4plus')
#make_anim(Die.coin(4/6), 'd6_5plus')
#make_anim(Die.coin(5/6), 'd6_6plus')
exalted2e = Die.from_faces([0]*6 + [1]*3 + [2])
owod = Die.from_faces([-1] + [0]*5 + [1]*4)
nwod = Die.from_faces([0]*7 + [1]*3).explode(10, chance=0.1)
#make_anim(exalted2e, 'exalted2e')
#make_anim(owod, 'owod')
#make_anim(nwod, 'nwod')
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
plot_pmf(ax, Die.coin(1 / 6), die_counts_simple, '(d6>=6)')
ax.set_xlim(left=left, right=right)
ax.set_ylim(bottom=0)
plt.savefig('output/sum_pool_6plus.png', dpi=dpi, bbox_inches="tight")
# exalted 2e
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
plot_pmf(ax, Die.from_faces([0] * 6 + [1] * 3 + [2]), die_counts_simple,
'dExalted2e')
ax.set_xlim(left=left, right=right)
ax.set_ylim(bottom=0)
plt.savefig('output/sum_pool_exalted2e.png', dpi=dpi, bbox_inches="tight")
# owod
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
plot_pmf(ax, Die.from_faces([-1] + [0] * 5 + [1] * 4), die_counts_simple,
'dOWoD')
ax.set_xlim(left=left, right=right)
# 5+ on d6
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
plot_opposed_fixed_side(ax, Die.coin(1 / 3), die_counts_simple, '(d6>=5)')
ax.set_xlim(left=left, right=right)
plt.savefig('output/add_pool_opposed_5plus.png', dpi=dpi, bbox_inches="tight")
# exalted 2e
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
plot_opposed_fixed_side(ax, Die.from_faces([0] * 6 + [1] * 3 + [2]),
die_counts_simple, 'Exalted2e')
ax.set_xlim(left=left, right=right)
plt.savefig('output/add_pool_opposed_exalted2e.png',
dpi=dpi,
bbox_inches="tight")
# coin
fig = plt.figure(figsize=figsize)
ax = plt.subplot(111)
plot_opposed_fixed_side(ax, Die.d(6), die_counts_simple, '6')
ax.set_xlim(left=left, right=right)
def iter_simple_dice(die_size):
# standard die
metadata = {
'size' : die_size,
'threshold' : 0,
'feature' : 'standard die',
'faces' : [str(x) for x in range(1, die_size+1)],
'notes' : '',
}
yield Die.d(die_size), metadata
# exploding standard die (problem: VMR too high to be useful)
"""
metadata = {
'size' : die_size,
'threshold' : 0,
'feature' : 'exploding standard die',
'faces' : [str(x) for x in range(1, die_size+1)],
'notes' : '',
}
metadata['faces'][-1] += '!'
yield Die.d(die_size).explode(10), metadata
"""
# odd standard dice
if die_size % 2 == 0 and die_size >= 6 and die_size <= 10:
metadata = {
'size' : die_size-1,
'threshold' : 0,
'feature' : 'standard die',
'faces' : [str(x) for x in range(1, die_size-1+1)],
'notes' : '',
}
yield Die.d(die_size-1), metadata
# no feature
for i in range(1, die_size):
faces = [0]*i + [1]*(die_size-i)
metadata = {
'size' : die_size,
'threshold' : i+1,
'feature' : 'none',
'faces' : [str(x) for x in faces],
'notes' : '',
}
if die_size == 6 and i == 3: metadata['notes'] = 'Burning Wheel'
if die_size == 6 and i == 4: metadata['notes'] = 'Shadowrun 4e'
yield Die.from_faces(faces), metadata
# negative on 1
for i in range(2, die_size):
faces = [-1] + [0]*(i-1) + [1]*(die_size-i)
metadata = {
'size' : die_size,
'threshold' : i+1,
'feature' : '-1 success on bottom face',
'faces' : [str(x) for x in faces],
'notes' : '',
}
if die_size == 10 and i == 6: metadata['notes'] = 'Old World of Darkness'
yield Die.from_faces(faces), metadata
# double on max
for i in range(1, die_size-1):
faces = [0]*i + [1]*(die_size-i-1) + [2]
metadata = {
'size' : die_size,
'threshold' : i+1,
'feature' : '2 successes on top face',
'faces' : [str(x) for x in faces],
'notes' : '',
}
if die_size == 10 and i == 6: metadata['notes'] = 'Exalted 2e'
yield Die.from_faces(faces), metadata
# explode
for i in range(1, die_size):
faces = [0]*i + [1]*(die_size-i)
metadata = {
'size' : die_size,
'threshold' : i+1,
'feature' : 'explode on top face',
'faces' : [str(x) for x in faces],
'notes' : '',
}
metadata['faces'][-1] += '!'
if die_size == 10 and i == 7: metadata['notes'] = 'New World of Darkness'
yield Die.from_faces(faces).explode(100, chance=1/die_size), metadata
"""
def iter_double_success(die_size):
for i in range(1, die_size - 1):
for j in range(i + 1, die_size - 1):
name = 'success on %d+, double success on %d+' % (i + 1, j + 1)
yield Die.from_faces([0] * i + [1] * (j - i) + [2] *
(die_size - i - j)).rename(name)