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collada_scene/animate: implement bezier interpolation

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This commit is contained in:
Zack Buhman 2026-02-24 23:42:06 +00:00
parent ae351e1527
commit e5148ac4b8
3 changed files with 215 additions and 83 deletions
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69
_math.lua
View File

@ -552,6 +552,61 @@ mat4 = {
setmetatable(mat4, mat4) setmetatable(mat4, mat4)
vec2 = {
__call = function(_t, x, y, z)
-- newByteData is zero-initialized
local data = love.data.newByteData(2 * 4)
local f = ffi.cast('float*', data:getFFIPointer())
local value = {
data = data,
f = f,
}
f[0] = x
f[1] = y
setmetatable(value, vec2)
return value
end,
load_table = function(t)
assert(#t == 2)
assert(t[1] ~= nil)
assert(t[2] ~= nil)
return vec2(t[1], t[2])
end,
set_x = function(v, value)
return vec2(value, v.f[1])
end,
set_y = function(v, value)
return vec2(v.f[0], value)
end,
get_x = function(v)
return v.f[0]
end,
get_y = function(v)
return v.f[1]
end,
__mul = function(v, s)
return vec2(v.f[0] * s,
v.f[1] * s)
end,
__add = function(v1, v2)
return vec2(v1.f[0] + v2.f[0],
v1.f[1] + v2.f[1])
end,
print = function(v)
print(tostring(v.f[0]) .. " " .. tostring(v.f[1]))
end,
}
setmetatable(vec2, vec2)
vec3 = { vec3 = {
__call = function(_t, x, y, z) __call = function(_t, x, y, z)
-- newByteData is zero-initialized -- newByteData is zero-initialized
@ -561,9 +616,9 @@ vec3 = {
data = data, data = data,
f = f, f = f,
} }
f[0] = x or 0 f[0] = x
f[1] = y or 0 f[1] = y
f[2] = z or 0 f[2] = z
setmetatable(value, vec3) setmetatable(value, vec3)
return value return value
end, end,
@ -732,10 +787,10 @@ vec4 = {
data = data, data = data,
f = f, f = f,
} }
f[0] = x or 0 f[0] = x
f[1] = y or 0 f[1] = y
f[2] = z or 0 f[2] = z
f[3] = w or 0 f[3] = w
setmetatable(value, vec4) setmetatable(value, vec4)
return value return value
end, end,

79
collada_scene/animate.lua
View File

@ -35,6 +35,82 @@ local linear_interpolate_value = function(source, frame_ix, parameter_ix, iv)
return prev + iv * (next - prev) return prev + iv * (next - prev)
end end
local pow3 = function(f)
return f * f * f
end
local pow2 = function(f)
return f * f
end
local bezier = function(p0, c0, c1, p1, s)
return
(p0 * pow3(1 - s))
+ (c0 * 3 * s * pow2(1 - s))
+ (c1 * 3 * pow2(s) * (1 - s))
+ (p1 * pow3(s))
end
local bezier_binary_search = function(p0, c0, c1, p1, want)
local low = 0.0
local high = 1.0
local iterations = 0
while iterations < 20 do
iterations = iterations + 1
local s = (high + low) * 0.5
local bs = bezier(p0, c0, c1, p1, s)
local t = vec2.get_x(bs)
local epsilon = 0.001
if (math.abs(t - want) < epsilon) then
return vec2.get_y(bs)
end
if t > want then
high = s
else
low = s
end
end
print(vec2.get_x(p0), vec2.get_y(p0))
print(vec2.get_x(c0), vec2.get_y(c0))
print(vec2.get_x(c1), vec2.get_y(c1))
print(vec2.get_x(p1), vec2.get_y(p1))
assert(false)
end
local tangent_index = function(source, frame_ix, parameter_ix)
local ix = frame_ix * source.stride + parameter_ix * 2
x = source.float_array[ix + 0 + 1]
y = source.float_array[ix + 1 + 1]
return {x, y}
end
local bezier_sampler = function(sampler, frame_ix, parameter_ix, t)
-- P0 is (INPUT[i] , OUTPUT[i])
-- C0 (or T0) is (OUT_TANGENT[i][0] , OUT_TANGENT[i][1])
-- C1 (or T1) is (IN_TANGENT[i+1][0], IN_TANGENT[i+1][1])
-- P1 is (INPUT[i+1], OUTPUT[i+1])
local frame0_input = sampler.input.float_array[frame_ix + 0 + 1]
local frame1_input = sampler.input.float_array[frame_ix + 1 + 1]
local frame0_output = sampler.output.float_array[(frame_ix + 0) * sampler.output.stride + parameter_ix + 1]
local frame1_output = sampler.output.float_array[(frame_ix + 1) * sampler.output.stride + parameter_ix + 1]
local p0 = vec2(frame0_input, frame0_output)
local c0 = vec2.load_table(tangent_index(sampler.out_tangent, frame_ix + 0, parameter_ix))
local c1 = vec2.load_table(tangent_index(sampler.in_tangent, frame_ix + 1, parameter_ix))
local p1 = vec2(frame1_input, frame1_output)
return bezier_binary_search(p0, c0, c1, p1, t)
end
local apply_transform_target = function(transform, channel_target_attribute, value) local apply_transform_target = function(transform, channel_target_attribute, value)
if transform.type == collada_types.transform_type.TRANSLATE or transform.type == collada_types.transform_type.SCALE then if transform.type == collada_types.transform_type.TRANSLATE or transform.type == collada_types.transform_type.SCALE then
if channel_target_attribute == collada_types.target_attribute.X then if channel_target_attribute == collada_types.target_attribute.X then
@ -81,7 +157,8 @@ local animate_channel_segment = function(channel, transform, frame_ix, t)
for parameter_ix = 0, target_attributes_count-1 do for parameter_ix = 0, target_attributes_count-1 do
local interpolation = channel.source_sampler.interpolation.interpolation_array[frame_ix] local interpolation = channel.source_sampler.interpolation.interpolation_array[frame_ix]
local value local value
if false then if interpolation == collada_types.interpolation.BEZIER then
value = bezier_sampler(channel.source_sampler, frame_ix, parameter_ix, t)
else else
local iv = linear_interpolate_iv(channel.source_sampler.input, frame_ix, t) local iv = linear_interpolate_iv(channel.source_sampler.input, frame_ix, t)
value = linear_interpolate_value(channel.source_sampler.output, frame_ix, parameter_ix, iv) value = linear_interpolate_value(channel.source_sampler.output, frame_ix, parameter_ix, iv)

150
scene/test/test.lua
View File

@ -30,18 +30,18 @@ local array_node_torus_knot23_translation_x_output_array = {
-21.94384, -21.94384,
} }
local array_node_torus_knot23_translation_x_intangent_array = { local array_node_torus_knot23_translation_x_intangent_array = {
{-0.3329306, -21.94384}, -0.3329306, -21.94384,
{0.667, 7.158293}, 0.667, 7.158293,
{1.667, 40.64392}, 1.667, 40.64392,
{2.667, 15.03987}, 2.667, 15.03987,
{3.222333, -21.94384}, 3.222333, -21.94384,
} }
local array_node_torus_knot23_translation_x_outtangent_array = { local array_node_torus_knot23_translation_x_outtangent_array = {
{0.333, -21.94384}, 0.333, -21.94384,
{1.333, 28.00002}, 1.333, 28.00002,
{2.333, 40.64392}, 2.333, 40.64392,
{3.111, -5.801854}, 3.111, -5.801854,
{3.666264, -21.94384}, 3.666264, -21.94384,
} }
local array_node_torus_knot23_translation_x_interpolation_array = { local array_node_torus_knot23_translation_x_interpolation_array = {
collada_types.interpolation.BEZIER, collada_types.interpolation.BEZIER,
@ -97,18 +97,18 @@ local array_node_torus_knot23_translation_y_output_array = {
-1.68812e-14, -1.68812e-14,
} }
local array_node_torus_knot23_translation_y_intangent_array = { local array_node_torus_knot23_translation_y_intangent_array = {
{-0.3329306, -1.68812e-14}, -0.3329306, -1.68812e-14,
{0.667, 24.27013}, 0.667, 24.27013,
{1.667, -12.4935}, 1.667, -12.4935,
{2.667, 9.835234}, 2.667, 9.835234,
{3.222333, -1.68812e-14}, 3.222333, -1.68812e-14,
} }
local array_node_torus_knot23_translation_y_outtangent_array = { local array_node_torus_knot23_translation_y_outtangent_array = {
{0.333, -1.68812e-14}, 0.333, -1.68812e-14,
{1.333, 24.27013}, 1.333, 24.27013,
{2.333, -12.4935}, 2.333, -12.4935,
{3.111, 9.835234}, 3.111, 9.835234,
{3.666264, -1.68812e-14}, 3.666264, -1.68812e-14,
} }
local array_node_torus_knot23_translation_y_interpolation_array = { local array_node_torus_knot23_translation_y_interpolation_array = {
collada_types.interpolation.BEZIER, collada_types.interpolation.BEZIER,
@ -164,18 +164,18 @@ local array_node_torus_knot23_translation_z_output_array = {
45.45129, 45.45129,
} }
local array_node_torus_knot23_translation_z_intangent_array = { local array_node_torus_knot23_translation_z_intangent_array = {
{-0.3329306, 45.45129}, -0.3329306, 45.45129,
{0.667, 45.45129}, 0.667, 45.45129,
{1.667, 45.45129}, 1.667, 45.45129,
{2.667, 45.45129}, 2.667, 45.45129,
{3.222333, 45.45129}, 3.222333, 45.45129,
} }
local array_node_torus_knot23_translation_z_outtangent_array = { local array_node_torus_knot23_translation_z_outtangent_array = {
{0.333, 45.45129}, 0.333, 45.45129,
{1.333, 45.45129}, 1.333, 45.45129,
{2.333, 45.45129}, 2.333, 45.45129,
{3.111, 45.45129}, 3.111, 45.45129,
{3.666264, 45.45129}, 3.666264, 45.45129,
} }
local array_node_torus_knot23_translation_z_interpolation_array = { local array_node_torus_knot23_translation_z_interpolation_array = {
collada_types.interpolation.BEZIER, collada_types.interpolation.BEZIER,
@ -235,22 +235,22 @@ local array_node_torusknot25_rotationz_angle_output_array = {
-2.386905, -2.386905,
} }
local array_node_torusknot25_rotationz_angle_intangent_array = { local array_node_torusknot25_rotationz_angle_intangent_array = {
{-0.3329306, -2.386905}, -0.3329306, -2.386905,
{0.3335, -38.2941}, 0.3335, -38.2941,
{0.8335, -59.67817}, 0.8335, -59.67817,
{1.3335, -40.14935}, 1.3335, -40.14935,
{1.8335, -99.69791}, 1.8335, -99.69791,
{2.3335, -163.7238}, 2.3335, -163.7238,
{3.055833, -2.386905}, 3.055833, -2.386905,
} }
local array_node_torusknot25_rotationz_angle_outtangent_array = { local array_node_torusknot25_rotationz_angle_outtangent_array = {
{0.1665, -2.386905}, 0.1665, -2.386905,
{0.6665, -57.37209}, 0.6665, -57.37209,
{1.1665, -59.67817}, 1.1665, -59.67817,
{1.6665, -40.14935}, 1.6665, -40.14935,
{2.1665, -140.8482}, 2.1665, -140.8482,
{2.7775, -163.7238}, 2.7775, -163.7238,
{3.666264, -2.386905}, 3.666264, -2.386905,
} }
local array_node_torusknot25_rotationz_angle_interpolation_array = { local array_node_torusknot25_rotationz_angle_interpolation_array = {
collada_types.interpolation.BEZIER, collada_types.interpolation.BEZIER,
@ -312,22 +312,22 @@ local array_node_torusknot25_rotationy_angle_output_array = {
-49.62293, -49.62293,
} }
local array_node_torusknot25_rotationy_angle_intangent_array = { local array_node_torusknot25_rotationy_angle_intangent_array = {
{-0.3329306, -49.62293}, -0.3329306, -49.62293,
{0.3335, -29.32237}, 0.3335, -29.32237,
{0.8335, 34.11597}, 0.8335, 34.11597,
{1.3335, -56.85069}, 1.3335, -56.85069,
{1.8335, -56.85069}, 1.8335, -56.85069,
{2.3335, -170.1778}, 2.3335, -170.1778,
{3.055833, -49.62293}, 3.055833, -49.62293,
} }
local array_node_torusknot25_rotationy_angle_outtangent_array = { local array_node_torusknot25_rotationy_angle_outtangent_array = {
{0.1665, -49.62293}, 0.1665, -49.62293,
{0.6665, -1.437308}, 0.6665, -1.437308,
{1.1665, 34.11597}, 1.1665, 34.11597,
{1.6665, -56.85069}, 1.6665, -56.85069,
{2.1665, -56.85069}, 2.1665, -56.85069,
{2.7775, -170.1778}, 2.7775, -170.1778,
{3.666264, -49.62293}, 3.666264, -49.62293,
} }
local array_node_torusknot25_rotationy_angle_interpolation_array = { local array_node_torusknot25_rotationy_angle_interpolation_array = {
collada_types.interpolation.BEZIER, collada_types.interpolation.BEZIER,
@ -389,22 +389,22 @@ local array_node_torusknot25_rotationx_angle_output_array = {
183.132, 183.132,
} }
local array_node_torusknot25_rotationx_angle_intangent_array = { local array_node_torusknot25_rotationx_angle_intangent_array = {
{-0.3329306, 183.132}, -0.3329306, 183.132,
{0.3335, 256.4932}, 0.3335, 256.4932,
{0.8335, 216.862}, 0.8335, 216.862,
{1.3335, 133.4248}, 1.3335, 133.4248,
{1.8335, 133.4248}, 1.8335, 133.4248,
{2.3335, 146.1407}, 2.3335, 146.1407,
{3.055833, 183.132}, 3.055833, 183.132,
} }
local array_node_torusknot25_rotationx_angle_outtangent_array = { local array_node_torusknot25_rotationx_angle_outtangent_array = {
{0.1665, 183.132}, 0.1665, 183.132,
{0.6665, 256.4932}, 0.6665, 256.4932,
{1.1665, 175.8802}, 1.1665, 175.8802,
{1.6665, 133.4248}, 1.6665, 133.4248,
{2.1665, 133.4248}, 2.1665, 133.4248,
{2.7775, 162.6932}, 2.7775, 162.6932,
{3.666264, 183.132}, 3.666264, 183.132,
} }
local array_node_torusknot25_rotationx_angle_interpolation_array = { local array_node_torusknot25_rotationx_angle_interpolation_array = {
collada_types.interpolation.BEZIER, collada_types.interpolation.BEZIER,
@ -825,9 +825,9 @@ local instance_controllers_node_torus_knot23 = {
local instance_lights_node_torus_knot23 = { local instance_lights_node_torus_knot23 = {
} }
local node_channels_node_torus_knot23 = { local node_channels_node_torus_knot23 = {
node_channel_node_torus_knot23_translation_y,
node_channel_node_torus_knot23_translation_x,
node_channel_node_torus_knot23_translation_z, node_channel_node_torus_knot23_translation_z,
node_channel_node_torus_knot23_translation_x,
node_channel_node_torus_knot23_translation_y,
} }
local node_node_torus_knot23 = { local node_node_torus_knot23 = {
parent_index = -1, parent_index = -1,
@ -903,9 +903,9 @@ local instance_controllers_node_torusknot25 = {
local instance_lights_node_torusknot25 = { local instance_lights_node_torusknot25 = {
} }
local node_channels_node_torusknot25 = { local node_channels_node_torusknot25 = {
node_channel_node_torusknot25_rotationy_angle,
node_channel_node_torusknot25_rotationz_angle, node_channel_node_torusknot25_rotationz_angle,
node_channel_node_torusknot25_rotationx_angle, node_channel_node_torusknot25_rotationx_angle,
node_channel_node_torusknot25_rotationy_angle,
} }
local node_node_torusknot25 = { local node_node_torusknot25 = {
parent_index = -1, parent_index = -1,