feat: add math_wave color strip source type

Mathematical wave generator that produces per-LED colors from
configurable waveform layers (sine, triangle, sawtooth, square) with
superposition, mapped through a gradient palette. Supports sync clocks,
bindable speed, and up to 8 wave layers.

- Storage model with wave validation and apply_update
- Numpy-vectorized stream with gradient LUT color mapping
- API schemas (create/update/response) and route registration
- Frontend editor with dynamic wave layer rows, gradient picker,
  speed widget, and IconSelect waveform selectors
- i18n in en/ru/zh

server/src/wled_controller/api/routes/color_strip_sources.py

@@ -38,6 +38,7 @@ from wled_controller.api.schemas.color_strip_sources import (
     GradientCSSResponse,
     KeyColorsCSSResponse,
     MappedCSSResponse,
+    MathWaveCSSResponse,
     NotificationCSSResponse,
     NotifyRequest,
     PictureAdvancedCSSResponse,
@@ -68,6 +69,7 @@ from wled_controller.storage.color_strip_source import (
     GradientColorStripSource,
     KeyColorsColorStripSource,
     MappedColorStripSource,
+    MathWaveColorStripSource,
     NotificationColorStripSource,
     PictureColorStripSource,
     ProcessedColorStripSource,
@@ -244,6 +246,12 @@ _RESPONSE_MAP: dict = {
         smoothing=s.smoothing.to_dict(),
         brightness=s.brightness.to_dict(),
     ),
+    MathWaveColorStripSource: lambda s, kw: MathWaveCSSResponse(
+        **kw,
+        waves=s.waves,
+        speed=s.speed.to_dict(),
+        gradient_id=s.gradient_id,
+    ),
 }
 
 

server/src/wled_controller/api/schemas/color_strip_sources.py

@@ -227,6 +227,13 @@ class KeyColorsCSSResponse(_CSSResponseBase):
     brightness: Any = Field(description="Brightness")
 
 
+class MathWaveCSSResponse(_CSSResponseBase):
+    source_type: Literal["math_wave"] = "math_wave"
+    waves: List[dict] = Field(description="Wave layer definitions")
+    speed: Any = Field(description="Global speed multiplier (bindable)")
+    gradient_id: Optional[str] = Field(None, description="Gradient entity ID for color mapping")
+
+
 ColorStripSourceResponse = Annotated[
     Union[
         Annotated[PictureCSSResponse, Tag("picture")],
@@ -245,6 +252,7 @@ ColorStripSourceResponse = Annotated[
         Annotated[ProcessedCSSResponse, Tag("processed")],
         Annotated[WeatherCSSResponse, Tag("weather")],
         Annotated[KeyColorsCSSResponse, Tag("key_colors")],
+        Annotated[MathWaveCSSResponse, Tag("math_wave")],
     ],
     Discriminator("source_type"),
 ]
@@ -406,6 +414,13 @@ class KeyColorsCSSCreate(_CSSCreateBase):
     )
 
 
+class MathWaveCSSCreate(_CSSCreateBase):
+    source_type: Literal["math_wave"] = "math_wave"
+    waves: Optional[List[dict]] = Field(None, description="Wave layer definitions")
+    speed: Any = Field(default=None, description="Global speed multiplier (bindable, 0.1-10.0)")
+    gradient_id: Optional[str] = Field(None, description="Gradient entity ID for color mapping")
+
+
 ColorStripSourceCreate = Annotated[
     Union[
         Annotated[PictureCSSCreate, Tag("picture")],
@@ -424,6 +439,7 @@ ColorStripSourceCreate = Annotated[
         Annotated[ProcessedCSSCreate, Tag("processed")],
         Annotated[WeatherCSSCreate, Tag("weather")],
         Annotated[KeyColorsCSSCreate, Tag("key_colors")],
+        Annotated[MathWaveCSSCreate, Tag("math_wave")],
     ],
     Discriminator("source_type"),
 ]
@@ -585,6 +601,13 @@ class KeyColorsCSSUpdate(_CSSUpdateBase):
     )
 
 
+class MathWaveCSSUpdate(_CSSUpdateBase):
+    source_type: Literal["math_wave"] = "math_wave"
+    waves: Optional[List[dict]] = Field(None, description="Wave layer definitions")
+    speed: Any = Field(default=None, description="Global speed multiplier (bindable)")
+    gradient_id: Optional[str] = Field(None, description="Gradient entity ID for color mapping")
+
+
 ColorStripSourceUpdate = Annotated[
     Union[
         Annotated[PictureCSSUpdate, Tag("picture")],
@@ -603,6 +626,7 @@ ColorStripSourceUpdate = Annotated[
         Annotated[ProcessedCSSUpdate, Tag("processed")],
         Annotated[WeatherCSSUpdate, Tag("weather")],
         Annotated[KeyColorsCSSUpdate, Tag("key_colors")],
+        Annotated[MathWaveCSSUpdate, Tag("math_wave")],
     ],
     Discriminator("source_type"),
 ]