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Copy pathcompositor_blend.py
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331 lines (277 loc) · 11.2 KB
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import math
from typing import NamedTuple, Optional, Union
import numpy as np
EPSILON = 1e-6
LUM_R = 0.2224884
LUM_G = 0.71690369
LUM_B = 0.06060791
ArrayLike = Union[np.ndarray, float]
def srgb_to_linear(c: ArrayLike) -> np.ndarray:
c = np.asarray(c, dtype=np.float32)
high = ((np.maximum(c, 0.0) + 0.055) / 1.055) ** 2.4
return np.where(c <= 0.04045, c / 12.92, high).astype(np.float32)
def linear_to_srgb(c: ArrayLike) -> np.ndarray:
c = np.asarray(c, dtype=np.float32)
high = 1.055 * np.maximum(c, 0.0) ** (1.0 / 2.4) - 0.055
return np.where(c <= 0.0031308, 12.92 * c, high).astype(np.float32)
def luminance(rgb: np.ndarray) -> np.ndarray:
return rgb[..., 0] * LUM_R + rgb[..., 1] * LUM_G + rgb[..., 2] * LUM_B
def safe_div(a: ArrayLike, b: ArrayLike) -> np.ndarray:
a, b = np.broadcast_arrays(
np.asarray(a, dtype=np.float32), np.asarray(b, dtype=np.float32)
)
out = np.zeros(b.shape, dtype=np.float32)
np.divide(a, b, out=out, where=np.abs(b) >= EPSILON)
return out
CHANNEL_BLEND = {
"normal": lambda i, l: l,
"multiply": lambda i, l: i * l,
"screen": lambda i, l: 1 - (1 - i) * (1 - l),
"overlay": lambda i, l: np.where(i < 0.5, 2 * i * l, 1 - 2 * (1 - l) * (1 - i)),
"darken": lambda i, l: np.minimum(i, l),
"lighten": lambda i, l: np.maximum(i, l),
"color-dodge": lambda i, l: np.where(
i <= 0,
0.0,
np.where(1 - l <= EPSILON, 1.0, np.minimum(safe_div(i, 1 - l), 1.0)),
),
"color-burn": lambda i, l: np.where(
i >= 1,
1.0,
np.where(l <= EPSILON, 0.0, 1 - np.minimum(safe_div(1 - i, l), 1.0)),
),
"hard-light": lambda i, l: np.where(
l > 0.5,
np.minimum(1 - (1 - i) * (1 - (l - 0.5) * 2), 1),
np.minimum(i * (l * 2), 1),
),
"soft-light": lambda i, l: (1 - i) * (i * l) + i * (1 - (1 - i) * (1 - l)),
"difference": lambda i, l: np.abs(i - l),
"exclusion": lambda i, l: 0.5 - 2 * (i - 0.5) * (l - 0.5),
"linear-dodge": lambda i, l: i + l,
"linear-burn": lambda i, l: i + l - 1,
"vivid-light": lambda i, l: np.where(
l <= 0.5,
np.where(
i >= 1,
1.0,
np.where(
2 * l <= EPSILON,
0.0,
np.maximum(1 - safe_div(1 - i, 2 * l), 0.0),
),
),
np.where(
i <= 0,
0.0,
np.where(
2 * (1 - l) <= EPSILON,
1.0,
np.minimum(safe_div(i, 2 * (1 - l)), 1.0),
),
),
),
"pin-light": lambda i, l: np.where(
l > 0.5, np.maximum(i, 2 * (l - 0.5)), np.minimum(i, 2 * l)
),
"linear-light": lambda i, l: i + 2 * l - 1,
"hard-mix": lambda i, l: np.where(i + l < 1, 0.0, 1.0),
"subtract": lambda i, l: np.maximum(i - l, 0),
"divide": lambda i, l: np.clip(i / np.maximum(l, EPSILON), 0, 1),
"grain-extract": lambda i, l: i - l + 0.5,
"grain-merge": lambda i, l: i + l - 0.5,
}
def _blend_hue(i: np.ndarray, l: np.ndarray) -> np.ndarray:
src_min = l.min(axis=-1)
src_max = l.max(axis=-1)
src_delta = src_max - src_min
achromatic = src_delta <= EPSILON
dest_max = i.max(axis=-1)
dest_delta = dest_max - i.min(axis=-1)
dest_s = np.where(dest_max != 0, dest_delta / np.where(dest_max != 0, dest_max, 1), 0)
ratio = np.where(
achromatic, 0, dest_s * dest_max / np.where(achromatic, 1, src_delta)
)
offset = dest_max - src_max * ratio
return np.where(achromatic[..., None], i, l * ratio[..., None] + offset[..., None])
def _blend_saturation(i: np.ndarray, l: np.ndarray) -> np.ndarray:
dest_max = i.max(axis=-1)
dest_delta = dest_max - i.min(axis=-1)
flat = dest_delta <= EPSILON
src_max = l.max(axis=-1)
src_delta = src_max - l.min(axis=-1)
src_s = np.where(src_max != 0, src_delta / np.where(src_max != 0, src_max, 1), 0)
ratio = np.where(flat, 0, src_s * dest_max / np.where(flat, 1, dest_delta))
offset = (1 - ratio) * dest_max
return np.where(
flat[..., None],
np.broadcast_to(dest_max[..., None], i.shape),
i * ratio[..., None] + offset[..., None],
)
def _blend_color(i: np.ndarray, l: np.ndarray) -> np.ndarray:
dest_l = (i.min(axis=-1) + i.max(axis=-1)) / 2
src_l = (l.min(axis=-1) + l.max(axis=-1)) / 2
gray = (np.abs(src_l) <= EPSILON) | (np.abs(1 - src_l) <= EPSILON)
dest_high = dest_l > 0.5
src_high = src_l > 0.5
dl = np.minimum(dest_l, 1 - dest_l)
sl = np.minimum(src_l, 1 - src_l)
ratio = dl / np.where(gray, 1, sl)
offset = np.where(dest_high, 1 - 2 * dl, 0) + np.where(src_high, 2 * dl - ratio, 0)
return np.where(
gray[..., None],
np.broadcast_to(dest_l[..., None], i.shape),
l * ratio[..., None] + offset[..., None],
)
def _blend_luminosity(i: np.ndarray, l: np.ndarray) -> np.ndarray:
# Scale the backdrop so it carries the layer's luminance. Where the backdrop
# has no luminance to scale there is no hue or saturation to preserve either,
# so the result is a neutral grey at the layer's luminance - which is also the
# analytic limit of i * lum(l)/lum(i) as a grey backdrop approaches black.
# Guarding the numerator here instead (returning black) makes a luminosity
# layer disappear over dark backdrops; see tests-unit/comfy_extras_test/
# compositor_blend_golden.json.
lum_i = luminance(i)
lum_l = luminance(l)
degenerate = lum_i <= EPSILON
ratio = np.where(degenerate, 0.0, lum_l / np.where(degenerate, 1.0, lum_i))
return np.where(
degenerate[..., None],
np.broadcast_to(lum_l[..., None], i.shape),
i * ratio[..., None],
)
HSL_BLEND = {
"hue": _blend_hue,
"saturation": _blend_saturation,
"color": _blend_color,
"luminosity": _blend_luminosity,
}
def blend_pixel(blend: str, in_rgb: np.ndarray, layer_rgb: np.ndarray) -> np.ndarray:
in_rgb = np.asarray(in_rgb, dtype=np.float32)
layer_rgb = np.asarray(layer_rgb, dtype=np.float32)
hsl = HSL_BLEND.get(blend)
if hsl is not None:
return np.asarray(hsl(in_rgb, layer_rgb), dtype=np.float32)
fn = CHANNEL_BLEND.get(blend, CHANNEL_BLEND["normal"])
return np.asarray(fn(in_rgb, layer_rgb), dtype=np.float32)
def _composite_union(in_c, layer, comp, cov):
in_a = in_c[..., 3]
layer_a = layer[..., 3] * cov
new_a = layer_a + (1 - layer_a) * in_a
ratio = np.where(new_a != 0, layer_a / np.where(new_a != 0, new_a, 1), 0)
blended = (
ratio[..., None]
* (in_a[..., None] * (comp - layer[..., :3]) + layer[..., :3] - in_c[..., :3])
+ in_c[..., :3]
)
keep = (layer_a == 0) | (new_a == 0)
rgb = np.where(
keep[..., None],
in_c[..., :3],
np.where((in_a == 0)[..., None], layer[..., :3], blended),
)
return np.concatenate([rgb, new_a[..., None]], axis=-1)
def _composite_clip_to_backdrop(in_c, layer, comp, cov):
in_a = in_c[..., 3]
layer_a = layer[..., 3] * cov
mixed = comp * layer_a[..., None] + in_c[..., :3] * (1 - layer_a[..., None])
keep = (in_a == 0) | (layer_a == 0)
rgb = np.where(keep[..., None], in_c[..., :3], mixed)
return np.concatenate([rgb, in_a[..., None]], axis=-1)
def _composite_clip_to_layer(in_c, layer, comp, cov):
in_a = in_c[..., 3]
layer_a = layer[..., 3] * cov
mixed = comp * in_a[..., None] + layer[..., :3] * (1 - in_a[..., None])
rgb = np.where(
(layer_a == 0)[..., None],
in_c[..., :3],
np.where((in_a == 0)[..., None], layer[..., :3], mixed),
)
return np.concatenate([rgb, layer_a[..., None]], axis=-1)
def _composite_intersection(in_c, layer, comp, cov):
new_a = in_c[..., 3] * layer[..., 3] * cov
rgb = np.where((new_a == 0)[..., None], in_c[..., :3], comp)
return np.concatenate([rgb, new_a[..., None]], axis=-1)
_COMPOSITE = {
"union": _composite_union,
"clip-to-backdrop": _composite_clip_to_backdrop,
"clip-to-layer": _composite_clip_to_layer,
"intersection": _composite_intersection,
}
def run_composite(mode: str, in_c, layer, comp, cov) -> np.ndarray:
fn = _COMPOSITE.get(mode, _composite_union)
return fn(in_c, layer, comp, cov)
def _to_space(rgb: np.ndarray, space: str) -> np.ndarray:
return rgb if space == "linear" else linear_to_srgb(rgb)
def _from_space(rgb: np.ndarray, space: str) -> np.ndarray:
return rgb if space == "linear" else srgb_to_linear(rgb)
class EffectiveMode(NamedTuple):
blend: str
blend_space: str
composite: str
_LAYER_MODES = {
"normal": ("linear", "union"),
"multiply": ("linear", "clip-to-backdrop"),
"screen": ("perceptual", "clip-to-backdrop"),
"overlay": ("perceptual", "clip-to-backdrop"),
"darken": ("linear", "clip-to-backdrop"),
"lighten": ("linear", "clip-to-backdrop"),
"color-dodge": ("perceptual", "clip-to-backdrop"),
"color-burn": ("perceptual", "clip-to-backdrop"),
"hard-light": ("perceptual", "clip-to-backdrop"),
"soft-light": ("perceptual", "clip-to-backdrop"),
"difference": ("perceptual", "clip-to-backdrop"),
"exclusion": ("perceptual", "clip-to-backdrop"),
"linear-dodge": ("linear", "clip-to-backdrop"),
"linear-burn": ("perceptual", "clip-to-backdrop"),
"vivid-light": ("perceptual", "clip-to-backdrop"),
"pin-light": ("perceptual", "clip-to-backdrop"),
"linear-light": ("perceptual", "clip-to-backdrop"),
"hard-mix": ("perceptual", "clip-to-backdrop"),
"subtract": ("linear", "clip-to-backdrop"),
"divide": ("linear", "clip-to-backdrop"),
"grain-extract": ("perceptual", "clip-to-backdrop"),
"grain-merge": ("perceptual", "clip-to-backdrop"),
"hue": ("perceptual", "clip-to-backdrop"),
"saturation": ("perceptual", "clip-to-backdrop"),
"color": ("perceptual", "clip-to-backdrop"),
"luminosity": ("linear", "clip-to-backdrop"),
}
def resolve_mode(blend: str = "normal") -> EffectiveMode:
blend_space, composite = _LAYER_MODES.get(blend, _LAYER_MODES["normal"])
return EffectiveMode(
blend=blend,
blend_space=blend_space,
composite=composite,
)
def blend_composite(
mode: EffectiveMode,
backdrop: np.ndarray,
layer: np.ndarray,
opacity: float,
mask: Optional[ArrayLike] = None,
) -> np.ndarray:
backdrop = np.asarray(backdrop, dtype=np.float32)
layer = np.asarray(layer, dtype=np.float32)
cov = opacity * (1.0 if mask is None else mask)
in_b = _to_space(backdrop[..., :3], mode.blend_space)
layer_b = _to_space(layer[..., :3], mode.blend_space)
comp = _from_space(blend_pixel(mode.blend, in_b, layer_b), mode.blend_space)
return run_composite(mode.composite, backdrop, layer, comp, cov)
def placed_bounds(
x: float, y: float, w: float, h: float, rotation: float
) -> tuple[int, int, int, int]:
cx = x + w / 2
cy = y + h / 2
cos = math.cos(rotation)
sin = math.sin(rotation)
hw = w / 2
hh = h / 2
corners = ((-hw, -hh), (hw, -hh), (hw, hh), (-hw, hh))
xs = [cx + dx * cos - dy * sin for dx, dy in corners]
ys = [cy + dx * sin + dy * cos for dx, dy in corners]
bx = math.floor(min(xs))
by = math.floor(min(ys))
bw = max(1, math.ceil(max(xs)) - bx)
bh = max(1, math.ceil(max(ys)) - by)
return bx, by, bw, bh
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