"""
This file describes the shapes of the wing shells. The joints are defined in
`__init__.py`.
"""
import math
from enum import Enum
from dataclasses import dataclass
from typing import Mapping, Tuple
import cadquery as Cq
from nhf import Material, Role
from nhf.parts.joints import HirthJoint
import nhf.utils


def wing_root_profiles(
        base_sweep=150,
        wall_thickness=8,
        base_radius=40,
        middle_offset=30,
        middle_height=80,
        conn_thickness=40,
        conn_height=100) -> tuple[Cq.Wire, Cq.Wire]:
    assert base_sweep < 180
    assert middle_offset > 0
    theta = math.pi * base_sweep / 180
    c, s = math.cos(theta), math.sin(theta)
    c_1, s_1 = math.cos(theta * 0.75), math.sin(theta * 0.75)
    c_2, s_2 = math.cos(theta / 2), math.sin(theta / 2)
    r1 = base_radius
    r2 = base_radius - wall_thickness
    base = (
        Cq.Sketch()
        .arc(
            (c * r1, s * r1),
            (c_1 * r1, s_1 * r1),
            (c_2 * r1, s_2 * r1),
        )
        .arc(
            (c_2 * r1, s_2 * r1),
            (r1, 0),
            (c_2 * r1, -s_2 * r1),
        )
        .arc(
            (c_2 * r1, -s_2 * r1),
            (c_1 * r1, -s_1 * r1),
            (c * r1, -s * r1),
        )
        .segment(
            (c * r1, -s * r1),
            (c * r2, -s * r2),
        )
        .arc(
            (c * r2, -s * r2),
            (c_1 * r2, -s_1 * r2),
            (c_2 * r2, -s_2 * r2),
        )
        .arc(
            (c_2 * r2, -s_2 * r2),
            (r2, 0),
            (c_2 * r2, s_2 * r2),
        )
        .arc(
            (c_2 * r2, s_2 * r2),
            (c_1 * r2, s_1 * r2),
            (c * r2, s * r2),
        )
        .segment(
            (c * r2, s * r2),
            (c * r1, s * r1),
        )
        .assemble(tag="wire")
        .wires().val()
    )
    assert isinstance(base, Cq.Wire)

    # The interior sweep is given by theta, but the exterior sweep exceeds the
    # interior sweep so the wall does not become thinner towards the edges.
    # If the exterior sweep is theta', it has to satisfy
    #
    # sin(theta) * r2 + wall_thickness = sin(theta') * r1
    x, y = conn_thickness / 2, middle_height / 2
    t = wall_thickness
    dx = middle_offset
    middle = (
        Cq.Sketch()
        # Interior arc, top point
        .arc(
            (x - t, y - t),
            (x - t + dx, 0),
            (x - t, -y + t),
        )
        .segment(
            (x - t, -y + t),
            (-x, -y+t)
        )
        .segment((-x, -y))
        .segment((x, -y))
        # Outer arc, bottom point
        .arc(
            (x, -y),
            (x + dx, 0),
            (x, y),
        )
        .segment(
            (x, y),
            (-x, y)
        )
        .segment((-x, y-t))
        #.segment((x2, a))
        .close()
        .assemble(tag="wire")
        .wires().val()
    )
    assert isinstance(middle, Cq.Wire)

    x, y = conn_thickness / 2, conn_height / 2
    t = wall_thickness
    tip = (
        Cq.Sketch()
        .segment((-x, y), (x, y))
        .segment((x, -y))
        .segment((-x, -y))
        .segment((-x, -y+t))
        .segment((x-t, -y+t))
        .segment((x-t, y-t))
        .segment((-x, y-t))
        .close()
        .assemble(tag="wire")
        .wires().val()
    )
    return base, middle, tip


def wing_root(joint: HirthJoint,
              bolt_diam: int = 12,
              union_tol=1e-4,
              shoulder_attach_diam=8,
              shoulder_attach_dist=25,
              conn_thickness=40,
              conn_height=100,
              wall_thickness=8) -> Cq.Assembly:
    """
    Generate the contiguous components of the root wing segment
    """
    tip_centre = Cq.Vector((-150, 0, -80))
    attach_theta = math.radians(5)
    c, s = math.cos(attach_theta), math.sin(attach_theta)
    attach_points = [
        (15, 4),
        (15 + shoulder_attach_dist * c, 4 + shoulder_attach_dist * s),
    ]
    root_profile, middle_profile, tip_profile = wing_root_profiles(
        conn_thickness=conn_thickness,
        conn_height=conn_height,
        wall_thickness=8,
    )
    middle_profile = middle_profile.located(Cq.Location(
        (-40, 0, -40), (0, 1, 0), 30
    ))
    antetip_profile = tip_profile.located(Cq.Location(
        (-95, 0, -75), (0, 1, 0), 60
    ))
    tip_profile = tip_profile.located(Cq.Location(
        tip_centre, (0, 1, 0), 90
    ))
    profiles = [
        root_profile,
        middle_profile,
        antetip_profile,
        tip_profile,
    ]
    result = None
    for p1, p2 in zip(profiles[:-1], profiles[1:]):
        seg = (
            Cq.Workplane('XY')
            .add(p1)
            .toPending()
            .workplane() # This call is necessary
            .add(p2)
            .toPending()
            .loft()
        )
        if result:
            result = result.union(seg, tol=union_tol)
        else:
            result = seg
    result = (
        result
        # Create connector holes
        .copyWorkplane(
            Cq.Workplane('bottom', origin=tip_centre + Cq.Vector((0, -50, 0)))
        )
        .pushPoints(attach_points)
        .hole(shoulder_attach_diam)
    )
    # Generate attach point tags

    for sign in [False, True]:
        y = conn_height / 2 - wall_thickness
        side = "bottom" if sign else "top"
        y = -y if sign else y
        plane = (
            result
            # Create connector holes
            .copyWorkplane(
                Cq.Workplane(side, origin=tip_centre +
                             Cq.Vector((0, y, 0)))
            )
        )
        if side == "bottom":
            side = "bot"
        for i, (px, py) in enumerate(attach_points):
            tag = f"conn_{side}{i}"
            plane.moveTo(px, -py if side == "top" else py).tagPlane(tag, "-Z")

    result.faces("<Z").tag("base")
    result.faces(">X").tag("conn")

    j = (
        joint.generate(is_mated=True)
        .faces("<Z")
        .hole(bolt_diam)
    )

    color = Material.PLASTIC_PLA.color
    result = (
        Cq.Assembly()
        .add(result, name="scaffold", color=color)
        .add(j, name="joint", color=Role.CHILD.color,
             loc=Cq.Location((0, 0, -joint.total_height)))
    )
    return result

@dataclass
class WingRoot:
    """
    Generator for the wing root profile and model
    """

    panel_thickness: float = 25.4 / 16
    spacer_thickness: float = 25.4 / 8
    height: float = 100.0
    shoulder_width: float = 30.0
    root_width: float = 80.0

    tip_x: float = -200.0
    tip_y: float = 160.0

    def outer_spline(self) -> list[Tuple[float, float]]:
        """
        Generate outer wing shape spline
        """

    def profile(self) -> Cq.Sketch:
        sketch = (
            Cq.Sketch()
            .segment((-self.root_width, 0), (0, 0))
            .spline([
                (0, 0),
                (-30.0, 80.0),
                (self.tip_x, self.tip_y)
            ])
            .segment(
                (self.tip_x, self.tip_y),
                (self.tip_x, self.tip_y - self.shoulder_width)
            )
            .segment(
                (self.tip_x, self.tip_y - self.shoulder_width),
                (-self.root_width, 0)
            )
            .assemble()
        )
        return sketch

    def spacer(self) -> Cq.Workplane:
        """
        Creates a rectangular spacer. This could be cut from acrylic.

        There are two holes on the top of the spacer. With the holes
        """
        length = self.height
        width = 10.0
        h = self.spacer_thickness
        result = (
            Cq.Workplane('XY')
            .sketch()
            .rect(length, width)
            .finalize()
            .extrude(h)
        )
        # Tag the mating surfaces to be glued
        result.faces("<X").workplane().tagPlane("left")
        result.faces(">X").workplane().tagPlane("right")

        # Tag the directrix
        result.faces(">Z").tag("dir")
        return result

    def surface(self, top: bool = False) -> Cq.Workplane:
        tags = [
            ("shoulder", (self.tip_x, self.tip_y + 30), 0),
            ("base", (-self.root_width,  0), 90),
        ]
        return nhf.utils.extrude_with_markers(
            self.profile(),
            self.panel_thickness,
            tags,
            reverse=not top,
        )

    def assembly(self) -> Cq.Assembly:
        result = (
            Cq.Assembly()
            .add(self.surface(top=True), name="bot")
            .add(self.surface(top=False), name="top")
            .constrain("bot@faces@>Z", "top@faces@<Z", "Point",
                       param=self.height)
        )
        for t in ["shoulder", "base"]:
            name = f"{t}_spacer"
            (
                result
                .add(self.spacer(), name=name)
                .constrain(f"{name}?left", f"bot?{t}", "Plane")
                .constrain(f"{name}?right", f"top?{t}", "Plane")
                .constrain(f"{name}?dir", f"top?{t}_dir", "Axis")
            )
        return result.solve()


@dataclass
class WingProfile:

    shoulder_height: float = 100

    elbow_height: float = 100
    elbow_x: float = 240
    elbow_y: float = 30
    # Tilt of elbow w.r.t. shoulder
    elbow_angle: float = 20

    wrist_height: float = 70
    # Bottom point of the wrist
    wrist_x: float = 400
    wrist_y: float = 200

    # Tile of wrist w.r.t. shoulder
    wrist_angle: float = 40

    # Extends from the wrist to the tip of the arrow
    arrow_height: float = 300
    arrow_angle: float = 7

    # Relative (in wrist coordinate) centre of the ring
    ring_x: float = 40
    ring_y: float = 20
    ring_radius_inner: float = 22

    def __post_init__(self):
        assert self.ring_radius > self.ring_radius_inner

        self.elbow_theta = math.radians(self.elbow_angle)
        self.elbow_c = math.cos(self.elbow_theta)
        self.elbow_s = math.sin(self.elbow_theta)
        self.elbow_top_x, self.elbow_top_y = self.elbow_to_abs(0, self.elbow_height)
        self.wrist_theta = math.radians(self.wrist_angle)
        self.wrist_c = math.cos(self.wrist_theta)
        self.wrist_s = math.sin(self.wrist_theta)
        self.wrist_top_x, self.wrist_top_y = self.wrist_to_abs(0, self.wrist_height)
        self.arrow_theta = math.radians(self.arrow_angle)
        self.arrow_x, self.arrow_y = self.wrist_to_abs(0, -self.arrow_height)
        self.arrow_tip_x = self.arrow_x + (self.arrow_height + self.wrist_height) \
            * math.sin(self.arrow_theta - self.wrist_theta)
        self.arrow_tip_y = self.arrow_y + (self.arrow_height + self.wrist_height) \
            * math.cos(self.arrow_theta - self.wrist_theta)
        # [[c, s], [-s, c]] * [ring_x, ring_y]
        self.ring_abs_x = self.wrist_top_x + self.wrist_c * self.ring_x - self.wrist_s * self.ring_y
        self.ring_abs_y = self.wrist_top_y + self.wrist_s * self.ring_x + self.wrist_c * self.ring_y

    @property
    def ring_radius(self) -> float:
        dx = self.ring_x
        dy = self.ring_y
        return (dx * dx + dy * dy) ** 0.5

    def elbow_to_abs(self, x: float, y: float) -> Tuple[float, float]:
        elbow_x = self.elbow_x + x * self.elbow_c - y * self.elbow_s
        elbow_y = self.elbow_y + x * self.elbow_s + y * self.elbow_c
        return elbow_x, elbow_y
    def wrist_to_abs(self, x: float, y: float) -> Tuple[float, float]:
        wrist_x = self.wrist_x + x * self.wrist_c - y * self.wrist_s
        wrist_y = self.wrist_y + x * self.wrist_s + y * self.wrist_c
        return wrist_x, wrist_y


    def profile(self) -> Cq.Sketch:
        """
        Net profile of the wing starting from the wing root with no divisions
        """
        result = (
            Cq.Sketch()
            .segment(
                (0, 0),
                (0, self.shoulder_height),
                tag="shoulder")
            .arc(
                (0, self.shoulder_height),
                (self.elbow_top_x, self.elbow_top_y),
                (self.wrist_top_x, self.wrist_top_y),
                tag="s1_top")
            #.segment(
            #    (self.wrist_x, self.wrist_y),
            #    (wrist_top_x, wrist_top_y),
            #    tag="wrist")
            .arc(
                (0, 0),
                (self.elbow_x, self.elbow_y),
                (self.wrist_x, self.wrist_y),
                tag="s1_bot")
        )
        result = (
            result
            .segment(
                (self.wrist_x, self.wrist_y),
                (self.arrow_x, self.arrow_y)
            )
            .segment(
                (self.arrow_x, self.arrow_y),
                (self.arrow_tip_x, self.arrow_tip_y)
            )
            .segment(
                (self.arrow_tip_x, self.arrow_tip_y),
                (self.wrist_top_x, self.wrist_top_y)
            )
        )
        # Carve out the ring
        result = result.assemble()
        result = (
            result
            .push([(self.ring_abs_x, self.ring_abs_y)])
            .circle(self.ring_radius, mode='a')
            .circle(self.ring_radius_inner, mode='s')
            .clean()
        )
        return result

    def _mask_elbow(self) -> list[Tuple[float, float]]:
        """
        Polygon shape to mask out parts above the elbow
        """
        abscissa = 200
        return [
            (0, -abscissa),
            (self.elbow_x, self.elbow_y),
            (self.elbow_top_x, self.elbow_top_y),
            (0, abscissa)
        ]

    def _mask_wrist(self) -> list[Tuple[float, float]]:
        abscissa = 200
        return [
            (0, -abscissa),
            (self.wrist_x, -abscissa),
            (self.wrist_x, self.wrist_y),
            (self.wrist_top_x, self.wrist_top_y),
            (0, abscissa),
        ]


    def profile_s1(self) -> Cq.Sketch:
        profile = (
            self.profile()
            .reset()
            .polygon(self._mask_elbow(), mode='i')
        )
        return profile
    def surface_s1(self,
                   thickness: float = 25.4/16,
                   shoulder_mount_inset: float = 20,
                   shoulder_joint_child_height: float = 80,
                   elbow_mount_inset: float = 20,
                   elbow_joint_parent_height: float = 60,
                   front: bool = True) -> Cq.Workplane:
        assert shoulder_joint_child_height < self.shoulder_height
        assert elbow_joint_parent_height < self.elbow_height
        h = (self.shoulder_height - shoulder_joint_child_height) / 2
        tags_shoulder = [
            ("shoulder_bot", (shoulder_mount_inset, h), 90),
            ("shoulder_top", (shoulder_mount_inset, h + shoulder_joint_child_height), 270),
        ]
        h = (self.elbow_height - elbow_joint_parent_height) / 2
        tags_elbow = [
            ("elbow_bot",
             self.elbow_to_abs(-elbow_mount_inset, h),
             self.elbow_angle + 90),
            ("elbow_top",
             self.elbow_to_abs(-elbow_mount_inset, h + elbow_joint_parent_height),
             self.elbow_angle + 270),
        ]
        profile = self.profile_s1()
        tags = tags_shoulder + tags_elbow
        return nhf.utils.extrude_with_markers(profile, thickness, tags, reverse=front)


    def profile_s2(self) -> Cq.Sketch:
        profile = (
            self.profile()
            .reset()
            .polygon(self._mask_elbow(), mode='s')
            .reset()
            .polygon(self._mask_wrist(), mode='i')
        )
        return profile
    def surface_s2(self,
                   thickness: float = 25.4/16,
                   elbow_mount_inset: float = 20,
                   elbow_joint_child_height: float = 80,
                   wrist_mount_inset: float = 20,
                   wrist_joint_parent_height: float = 60,
                   front: bool = True) -> Cq.Workplane:
        assert elbow_joint_child_height < self.elbow_height
        h = (self.elbow_height - elbow_joint_child_height) / 2
        tags_elbow = [
            ("elbow_bot",
             self.elbow_to_abs(elbow_mount_inset, h),
             self.elbow_angle + 90),
            ("elbow_top",
             self.elbow_to_abs(elbow_mount_inset, h + elbow_joint_child_height),
             self.elbow_angle - 90),
        ]
        h = (self.wrist_height - wrist_joint_parent_height) / 2
        tags_wrist = [
            ("wrist_bot",
             self.wrist_to_abs(-wrist_mount_inset, h),
             self.wrist_angle + 90),
            ("wrist_top",
             self.wrist_to_abs(-wrist_mount_inset, h + wrist_joint_parent_height),
             self.wrist_angle - 90),
        ]
        profile = self.profile_s2()
        tags = tags_elbow + tags_wrist
        return nhf.utils.extrude_with_markers(profile, thickness, tags, reverse=front)

    def profile_s3(self) -> Cq.Sketch:
        profile = (
            self.profile()
            .reset()
            .polygon(self._mask_wrist(), mode='s')
        )
        return profile
    def surface_s3(self,
                   thickness: float = 25.4/16,
                   wrist_mount_inset: float = 20,
                   wrist_joint_child_height: float = 80,
                   front: bool = True) -> Cq.Workplane:
        assert wrist_joint_child_height < self.wrist_height
        h = (self.wrist_height - wrist_joint_child_height) / 2
        tags = [
            ("wrist_bot",
             self.elbow_to_abs(wrist_mount_inset, h),
             self.elbow_angle + 90),
            ("wrist_top",
             self.elbow_to_abs(wrist_mount_inset, h + wrist_joint_child_height),
             self.elbow_angle - 90),
        ]
        profile = self.profile_s3()
        return nhf.utils.extrude_with_markers(profile, thickness, tags, reverse=front)


    def wing_r1s1_profile(self) -> Cq.Sketch:
        """
        Generates the first wing segment profile, with the wing root pointing in
        the positive x axis.
        """


        w = 270
        # Depression of the wing middle, measured
        h = 0
        # spline curve easing extension
        theta = math.radians(30)
        c_th, s_th = math.cos(theta), math.sin(theta)
        bend = 30
        ext = 40
        ext_dh = -5
        assert ext * 2 < w

        factor = 0.7

        result = (
            Cq.Sketch()
            .segment((0, 0), (0, self.shoulder_height))
            .spline([
                (0, self.shoulder_height),
                ((w - s_th * self.elbow_height) / 2, self.shoulder_height / 2 + (self.elbow_height * c_th - h) / 2 - bend),
                (w - s_th * self.elbow_height, self.elbow_height * c_th - h),
            ])
            .segment(
                (w - s_th * self.elbow_height, self.elbow_height * c_th -h),
                (w, -h),
            )
            .spline([
                (0, 0),
                (w / 2, -h / 2 - bend),
                (w, -h),
            ])
            .assemble()
        )
        return result