161 lines
4.0 KiB
Python
161 lines
4.0 KiB
Python
import typing as typ
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import bpy
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import sympy as sp
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import pydantic as pyd
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from .. import base
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from ... import contracts
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####################
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# - Blender Socket
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####################
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class ComplexNumberBLSocket(base.BLSocket):
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socket_type = contracts.SocketType.ComplexNumber
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socket_color = (0.6, 0.6, 0.6, 1.0)
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bl_label = "Complex Number"
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compatible_types = {
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complex: {},
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sp.Expr: {
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lambda v: v.is_complex,
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lambda v: len(v.free_symbols) == 0,
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},
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}
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####################
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# - Properties
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####################
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raw_value: bpy.props.FloatVectorProperty(
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name="Complex Number",
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description="Represents a complex number (real, imaginary)",
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size=2,
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default=(0.0, 0.0),
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subtype='NONE'
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)
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coord_sys: bpy.props.EnumProperty(
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name="Coordinate System",
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description="Choose between cartesian and polar form",
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items=[
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("CARTESIAN", "Cartesian", "Use Cartesian Coordinates", "EMPTY_AXIS", 0),
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("POLAR", "Polar", "Use Polar Coordinates", "DRIVER_ROTATIONAL_DIFFERENCE", 1),
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],
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default="CARTESIAN",
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update=lambda self, context: self._update_coord_sys(),
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)
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####################
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# - Socket UI
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####################
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def draw_value(self, col: bpy.types.UILayout) -> None:
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"""Draw the value of the complex number, including a toggle for
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specifying the active coordinate system.
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"""
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col_row = col.row()
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col_row.prop(self, "raw_value", text="")
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col.prop(self, "coord_sys", text="")
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def draw_preview(self, col_box: bpy.types.UILayout) -> None:
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"""Draw a live-preview value for the complex number, into the
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given preview box.
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- Cartesian: a,b -> a + ib
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- Polar: r,t -> re^(it)
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Returns:
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The sympy expression representing the complex number.
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"""
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if self.coord_sys == "CARTESIAN":
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text = f"= {self.default_value.n(2)}"
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elif self.coord_sys == "POLAR":
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r = sp.Abs(self.default_value).n(2)
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theta_rad = sp.arg(self.default_value).n(2)
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text = f"= {r*sp.exp(sp.I*theta_rad)}"
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else:
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raise RuntimeError("Invalid coordinate system for complex number")
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col_box.label(text=text)
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####################
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# - Computation of Default Value
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####################
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@property
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def default_value(self) -> sp.Expr:
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"""Return the complex number as a sympy expression, of a form
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determined by the coordinate system.
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- Cartesian: a,b -> a + ib
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- Polar: r,t -> re^(it)
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Returns:
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The sympy expression representing the complex number.
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"""
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v1, v2 = self.raw_value
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return {
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"CARTESIAN": v1 + sp.I*v2,
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"POLAR": v1 * sp.exp(sp.I*v2),
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}[self.coord_sys]
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@default_value.setter
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def default_value(self, value: typ.Any) -> None:
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"""Set the complex number from a sympy expression, using an internal
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representation determined by the coordinate system.
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- Cartesian: a,b -> a + ib
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- Polar: r,t -> re^(it)
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"""
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# (Guard) Value Compatibility
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if not self.is_compatible(value):
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msg = f"Tried setting socket ({self}) to incompatible value ({value}) of type {type(value)}"
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raise ValueError(msg)
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self.raw_value = {
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"CARTESIAN": (sp.re(value), sp.im(value)),
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"POLAR": (sp.Abs(value), sp.arg(value)),
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}[self.coord_sys]
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####################
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# - Internal Update Methods
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####################
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def _update_coord_sys(self):
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if self.coord_sys == "CARTESIAN":
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r, theta_rad = self.raw_value
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self.raw_value = (
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r * sp.cos(theta_rad),
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r * sp.sin(theta_rad),
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)
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elif self.coord_sys == "POLAR":
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x, y = self.raw_value
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cart_value = x + sp.I*y
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self.raw_value = (
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sp.Abs(cart_value),
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sp.arg(cart_value) if y != 0 else 0,
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)
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####################
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# - Socket Configuration
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####################
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class ComplexNumberSocketDef(pyd.BaseModel):
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socket_type: contracts.SocketType = contracts.SocketType.ComplexNumber
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label: str
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preview: bool = False
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coord_sys: typ.Literal["CARTESIAN", "POLAR"] = "CARTESIAN"
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def init(self, bl_socket: ComplexNumberBLSocket) -> None:
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bl_socket.preview_active = self.preview
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bl_socket.coord_sys = self.coord_sys
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####################
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# - Blender Registration
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####################
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BL_REGISTER = [
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ComplexNumberBLSocket,
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]
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