import typing_extensions as typx
import math

import tidy3d as td
import sympy as sp
import sympy.physics.units as spu

import bpy

from .....utils import analyze_geonodes
from ... import managed_objs
from ... import contracts as ct
from ... import sockets
from .. import base

GEONODES_PLANE_WAVE = "source_plane_wave"

def convert_vector_to_spherical(
	v: sp.MatrixBase,
) -> tuple[str, str, sp.Expr, sp.Expr]:
	"""Converts a vector (maybe normalized) to spherical coordinates from an arbitrary choice of injection axis.
	
	Injection axis is chosen to minimize `theta`
	"""
	x, y, z = v
	
	injection_axis = max(
		('x', abs(x)),
		('y', abs(y)),
		('z', abs(z)),
		key=lambda item: item[1]
	)[0]
	## Select injection axis that minimizes 'theta'
	
	if injection_axis == "x":
		direction = "+" if x >= 0 else "-"
		theta = sp.acos(x / sp.sqrt(x**2 + y**2 + z**2))
		phi = sp.atan2(z, y)
	elif injection_axis == "y":
		direction = "+" if y >= 0 else "-"
		theta = sp.acos(y / sp.sqrt(x**2 + y**2 + z**2))
		phi = sp.atan2(x, z)
	else:
		direction = "+" if z >= 0 else "-"
		theta = sp.acos(z / sp.sqrt(x**2 + y**2 + z**2))
		phi = sp.atan2(y, x)
	
	return injection_axis, direction, theta, phi

class PlaneWaveSourceNode(base.MaxwellSimNode):
	node_type = ct.NodeType.PlaneWaveSource
	bl_label = "Plane Wave Source"
	
	####################
	# - Sockets
	####################
	input_sockets = {
		"Temporal Shape": sockets.MaxwellTemporalShapeSocketDef(),
		"Center": sockets.PhysicalPoint3DSocketDef(),
		"Direction": sockets.Real3DVectorSocketDef(
			default_value=sp.Matrix([0, 0, -1])
		),
		"Pol Angle": sockets.PhysicalAngleSocketDef(),
	}
	output_sockets = {
		"Source": sockets.MaxwellSourceSocketDef(),
	}
	
	managed_obj_defs = {
		"plane_wave_source": ct.schemas.ManagedObjDef(
			mk=lambda name: managed_objs.ManagedBLObject(name),
			name_prefix="",
		)
	}
	
	####################
	# - Output Socket Computation
	####################
	@base.computes_output_socket(
		"Source",
		input_sockets={"Temporal Shape", "Center", "Direction", "Pol Angle"},
	)
	def compute_source(self, input_sockets: dict):
		temporal_shape = input_sockets["Temporal Shape"]
		_center = input_sockets["Center"]
		direction = input_sockets["Direction"]
		pol_angle = input_sockets["Pol Angle"]
		
		injection_axis, dir_sgn, theta, phi = convert_vector_to_spherical(direction)
		
		size = {
			"x": (0, math.inf, math.inf),
			"y": (math.inf, 0, math.inf),
			"z": (math.inf, math.inf, 0),
		}[injection_axis]
		center = tuple(spu.convert_to(_center, spu.um) / spu.um)
		
		# Display the results
		return td.PlaneWave(
			center=center,
			source_time=temporal_shape,
			size=size,
			direction=dir_sgn,
			angle_theta=theta,
			angle_phi=phi,
			pol_angle=pol_angle,
		)
	
	####################
	# - Preview
	####################
	@base.on_value_changed(
		socket_name={"Center", "Direction"},
		input_sockets={"Center", "Direction"},
		managed_objs={"plane_wave_source"},
	)
	def on_value_changed__center_direction(
		self,
		input_sockets: dict,
		managed_objs: dict[str, ct.schemas.ManagedObj],
	):
		_center = input_sockets["Center"]
		center = tuple([
			float(el)
			for el in spu.convert_to(_center, spu.um) / spu.um
		])
		
		_direction = input_sockets["Direction"]
		direction = tuple([
			float(el)
			for el in _direction
		])
		## TODO: Preview unit system?? Presume um for now
		
		# Retrieve Hard-Coded GeoNodes and Analyze Input
		geo_nodes = bpy.data.node_groups[GEONODES_PLANE_WAVE]
		geonodes_interface = analyze_geonodes.interface(
			geo_nodes, direc="INPUT"
		)
		
		# Sync Modifier Inputs
		managed_objs["plane_wave_source"].sync_geonodes_modifier(
			geonodes_node_group=geo_nodes,
			geonodes_identifier_to_value={
				geonodes_interface["Direction"].identifier: direction,
				## TODO: Use 'bl_socket_map.value_to_bl`!
				## - This accounts for auto-conversion, unit systems, etc. .
				## - We could keep it in the node base class...
				## - ...But it needs aligning with Blender, too. Hmm.
			}
		)
		
		# Sync Object Position
		managed_objs["plane_wave_source"].bl_object("MESH").location = center
	
	@base.on_show_preview(
		managed_objs={"plane_wave_source"},
	)
	def on_show_preview(
		self,
		managed_objs: dict[str, ct.schemas.ManagedObj],
	):
		managed_objs["plane_wave_source"].show_preview("MESH")
		self.on_value_changed__center_direction()



####################
# - Blender Registration
####################
BL_REGISTER = [
	PlaneWaveSourceNode,
]
BL_NODES = {
	ct.NodeType.PlaneWaveSource: (
		ct.NodeCategory.MAXWELLSIM_SOURCES
	)
}