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  • # SPDX-License-Identifier: GPL-2.0-or-later
    
        "name": "Simple Curve",
    
        "author": "Vladimir Spivak (cwolf3d)",
        "version": (1, 6, 1),
    
        "blender": (2, 80, 0),
    
        "location": "View3D > Add > Curve",
        "description": "Adds Simple Curve",
        "warning": "",
    
        "doc_url": "{BLENDER_MANUAL_URL}/addons/add_curve/extra_objects.html",
    
    
    
    # ------------------------------------------------------------
    
    from bpy_extras import object_utils
    
    from bpy.types import (
            Operator,
            Menu,
            Panel,
            PropertyGroup,
            )
    from bpy.props import (
            BoolProperty,
            EnumProperty,
            FloatProperty,
            FloatVectorProperty,
            IntProperty,
            StringProperty,
            PointerProperty,
            )
    from mathutils import (
            Vector,
            Matrix,
            )
    from math import (
            sin, asin, sqrt,
            acos, cos, pi,
            radians, tan,
            hypot,
            )
    # from bpy_extras.object_utils import *
    
    
    
    # ------------------------------------------------------------
    # Point:
    
    def SimplePoint():
        newpoints = []
    
        newpoints.append([0.0, 0.0, 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Line:
    
    def SimpleLine(c1=[0.0, 0.0, 0.0], c2=[2.0, 2.0, 2.0]):
        newpoints = []
    
        c3 = Vector(c2) - Vector(c1)
        newpoints.append([0.0, 0.0, 0.0])
        newpoints.append([c3[0], c3[1], c3[2]])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Angle:
    
    def SimpleAngle(length=1.0, angle=45.0):
        newpoints = []
    
        angle = radians(angle)
        newpoints.append([length, 0.0, 0.0])
        newpoints.append([0.0, 0.0, 0.0])
        newpoints.append([length * cos(angle), length * sin(angle), 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Distance:
    
    def SimpleDistance(length=1.0, center=True):
        newpoints = []
    
        if center:
            newpoints.append([-length / 2, 0.0, 0.0])
            newpoints.append([length / 2, 0.0, 0.0])
        else:
            newpoints.append([0.0, 0.0, 0.0])
            newpoints.append([length, 0.0, 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Circle:
    
    def SimpleCircle(sides=4, radius=1.0):
        newpoints = []
    
        angle = radians(360) / sides
        newpoints.append([radius, 0, 0])
    
        if radius != 0 :
            j = 1
            while j < sides:
                t = angle * j
                x = cos(t) * radius
                y = sin(t) * radius
                newpoints.append([x, y, 0])
                j += 1
    
    # ------------------------------------------------------------
    # Ellipse:
    
    def SimpleEllipse(a=2.0, b=1.0):
        newpoints = []
    
        newpoints.append([a, 0.0, 0.0])
        newpoints.append([0.0, b, 0.0])
        newpoints.append([-a, 0.0, 0.0])
        newpoints.append([0.0, -b, 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Arc:
    
    def SimpleArc(sides=0, radius=1.0, startangle=0.0, endangle=45.0):
        newpoints = []
    
        startangle = radians(startangle)
        endangle = radians(endangle)
        sides += 1
    
        angle = (endangle - startangle) / sides
        x = cos(startangle) * radius
        y = sin(startangle) * radius
        newpoints.append([x, y, 0])
        j = 1
        while j < sides:
            t = angle * j
            x = cos(t + startangle) * radius
            y = sin(t + startangle) * radius
            newpoints.append([x, y, 0])
            j += 1
        x = cos(endangle) * radius
        y = sin(endangle) * radius
        newpoints.append([x, y, 0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Sector:
    
    def SimpleSector(sides=0, radius=1.0, startangle=0.0, endangle=45.0):
        newpoints = []
    
        startangle = radians(startangle)
        endangle = radians(endangle)
        sides += 1
    
        newpoints.append([0, 0, 0])
        angle = (endangle - startangle) / sides
        x = cos(startangle) * radius
        y = sin(startangle) * radius
        newpoints.append([x, y, 0])
        j = 1
        while j < sides:
            t = angle * j
            x = cos(t + startangle) * radius
            y = sin(t + startangle) * radius
            newpoints.append([x, y, 0])
            j += 1
        x = cos(endangle) * radius
        y = sin(endangle) * radius
        newpoints.append([x, y, 0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Segment:
    
    def SimpleSegment(sides=0, a=2.0, b=1.0, startangle=0.0, endangle=45.0):
        newpoints = []
    
        startangle = radians(startangle)
        endangle = radians(endangle)
        sides += 1
    
        angle = (endangle - startangle) / sides
        x = cos(startangle) * a
        y = sin(startangle) * a
        newpoints.append([x, y, 0])
        j = 1
        while j < sides:
            t = angle * j
            x = cos(t + startangle) * a
            y = sin(t + startangle) * a
            newpoints.append([x, y, 0])
            j += 1
        x = cos(endangle) * a
        y = sin(endangle) * a
        newpoints.append([x, y, 0])
    
        x = cos(endangle) * b
        y = sin(endangle) * b
        newpoints.append([x, y, 0])
    
        while j > 0:
            t = angle * j
            x = cos(t + startangle) * b
            y = sin(t + startangle) * b
            newpoints.append([x, y, 0])
            j -= 1
        x = cos(startangle) * b
        y = sin(startangle) * b
        newpoints.append([x, y, 0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Rectangle:
    
    def SimpleRectangle(width=2.0, length=2.0, rounded=0.0, center=True):
        newpoints = []
    
        r = rounded / 2
    
        if center:
            x = width / 2
            y = length / 2
            if rounded != 0.0:
                newpoints.append([-x + r, y, 0.0])
                newpoints.append([x - r, y, 0.0])
                newpoints.append([x, y - r, 0.0])
                newpoints.append([x, -y + r, 0.0])
                newpoints.append([x - r, -y, 0.0])
                newpoints.append([-x + r, -y, 0.0])
                newpoints.append([-x, -y + r, 0.0])
                newpoints.append([-x, y - r, 0.0])
            else:
                newpoints.append([-x, y, 0.0])
                newpoints.append([x, y, 0.0])
                newpoints.append([x, -y, 0.0])
                newpoints.append([-x, -y, 0.0])
    
        else:
            x = width
            y = length
            if rounded != 0.0:
                newpoints.append([r, y, 0.0])
                newpoints.append([x - r, y, 0.0])
                newpoints.append([x, y - r, 0.0])
                newpoints.append([x, r, 0.0])
                newpoints.append([x - r, 0.0, 0.0])
                newpoints.append([r, 0.0, 0.0])
                newpoints.append([0.0, r, 0.0])
                newpoints.append([0.0, y - r, 0.0])
            else:
                newpoints.append([0.0, 0.0, 0.0])
                newpoints.append([0.0, y, 0.0])
                newpoints.append([x, y, 0.0])
                newpoints.append([x, 0.0, 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Rhomb:
    
    def SimpleRhomb(width=2.0, length=2.0, center=True):
        newpoints = []
        x = width / 2
        y = length / 2
    
        if center:
            newpoints.append([-x, 0.0, 0.0])
            newpoints.append([0.0, y, 0.0])
            newpoints.append([x, 0.0, 0.0])
            newpoints.append([0.0, -y, 0.0])
        else:
            newpoints.append([x, 0.0, 0.0])
            newpoints.append([0.0, y, 0.0])
            newpoints.append([x, length, 0.0])
            newpoints.append([width, y, 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Polygon:
    
    def SimplePolygon(sides=3, radius=1.0):
        newpoints = []
        angle = radians(360.0) / sides
        j = 0
    
        while j < sides:
            t = angle * j
            x = sin(t) * radius
            y = cos(t) * radius
            newpoints.append([x, y, 0.0])
            j += 1
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Polygon_ab:
    
    def SimplePolygon_ab(sides=3, a=2.0, b=1.0):
        newpoints = []
        angle = radians(360.0) / sides
        j = 0
    
        while j < sides:
            t = angle * j
            x = sin(t) * a
            y = cos(t) * b
            newpoints.append([x, y, 0.0])
            j += 1
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # Trapezoid:
    
    def SimpleTrapezoid(a=2.0, b=1.0, h=1.0, center=True):
        newpoints = []
        x = a / 2
        y = b / 2
        r = h / 2
    
        if center:
            newpoints.append([-x, -r, 0.0])
            newpoints.append([-y, r, 0.0])
            newpoints.append([y, r, 0.0])
            newpoints.append([x, -r, 0.0])
    
        else:
            newpoints.append([0.0, 0.0, 0.0])
            newpoints.append([x - y, h, 0.0])
            newpoints.append([x + y, h, 0.0])
            newpoints.append([a, 0.0, 0.0])
    
        return newpoints
    
    
    # ------------------------------------------------------------
    # get array of vertcoordinates according to splinetype
    def vertsToPoints(Verts, splineType):
    
        # main vars
        vertArray = []
    
        # array for BEZIER spline output (V3)
        if splineType == 'BEZIER':
            for v in Verts:
                vertArray += v
    
        # array for nonBEZIER output (V4)
        else:
            for v in Verts:
                vertArray += v
                if splineType == 'NURBS':
                    # for nurbs w=1
                    vertArray.append(1)
                else:
                    # for poly w=0
                    vertArray.append(0)
        return vertArray
    
    
    # ------------------------------------------------------------
    # Main Function
    
    
    def main(context, self, use_enter_edit_mode):
    
        # output splineType 'POLY' 'NURBS' 'BEZIER'
        splineType = self.outputType
    
        sides = abs(int((self.Simple_endangle - self.Simple_startangle) / 90))
    
        # get verts
        if self.Simple_Type == 'Point':
            verts = SimplePoint()
    
        if self.Simple_Type == 'Line':
    
            verts = SimpleLine(self.location, self.Simple_endlocation)
    
    
        if self.Simple_Type == 'Distance':
            verts = SimpleDistance(self.Simple_length, self.Simple_center)
    
        if self.Simple_Type == 'Angle':
            verts = SimpleAngle(self.Simple_length, self.Simple_angle)
    
        if self.Simple_Type == 'Circle':
            if self.Simple_sides < 4:
                self.Simple_sides = 4
    
            if self.Simple_radius == 0:
                return {'FINISHED'}
    
            verts = SimpleCircle(self.Simple_sides, self.Simple_radius)
    
        if self.Simple_Type == 'Ellipse':
            verts = SimpleEllipse(self.Simple_a, self.Simple_b)
    
        if self.Simple_Type == 'Arc':
            if self.Simple_sides < sides:
                self.Simple_sides = sides
            if self.Simple_radius == 0:
                return {'FINISHED'}
    
            verts = SimpleArc(
                        self.Simple_sides, self.Simple_radius,
                        self.Simple_startangle, self.Simple_endangle
                        )
    
    
        if self.Simple_Type == 'Sector':
            if self.Simple_sides < sides:
                self.Simple_sides = sides
            if self.Simple_radius == 0:
                return {'FINISHED'}
    
            verts = SimpleSector(
                        self.Simple_sides, self.Simple_radius,
                        self.Simple_startangle, self.Simple_endangle
                        )
    
    
        if self.Simple_Type == 'Segment':
            if self.Simple_sides < sides:
                self.Simple_sides = sides
    
            if self.Simple_a == 0 or self.Simple_b == 0 or self.Simple_a == self.Simple_b:
    
                return {'FINISHED'}
    
            if self.Simple_a > self.Simple_b:
                verts = SimpleSegment(
    
                        self.Simple_sides, self.Simple_a, self.Simple_b,
                        self.Simple_startangle, self.Simple_endangle
                        )
    
            if self.Simple_a < self.Simple_b:
                verts = SimpleSegment(
                        self.Simple_sides, self.Simple_b, self.Simple_a,
                        self.Simple_startangle, self.Simple_endangle
                        )
    
    
        if self.Simple_Type == 'Rectangle':
    
            verts = SimpleRectangle(
                        self.Simple_width, self.Simple_length,
                        self.Simple_rounded, self.Simple_center
                        )
    
    
        if self.Simple_Type == 'Rhomb':
    
            verts = SimpleRhomb(
                        self.Simple_width, self.Simple_length, self.Simple_center
                        )
    
    
        if self.Simple_Type == 'Polygon':
            if self.Simple_sides < 3:
                self.Simple_sides = 3
    
            verts = SimplePolygon(
                        self.Simple_sides, self.Simple_radius
                        )
    
    
        if self.Simple_Type == 'Polygon_ab':
            if self.Simple_sides < 3:
                self.Simple_sides = 3
    
            verts = SimplePolygon_ab(
                        self.Simple_sides, self.Simple_a, self.Simple_b
                        )
    
    
        if self.Simple_Type == 'Trapezoid':
    
            verts = SimpleTrapezoid(
                        self.Simple_a, self.Simple_b, self.Simple_h, self.Simple_center
                        )
    
        # turn verts into array
        vertArray = vertsToPoints(verts, splineType)
    
        # create object
        if bpy.context.mode == 'EDIT_CURVE':
    
            Curve = context.active_object
            newSpline = Curve.data.splines.new(type=splineType)          # spline
        else:
            name = self.Simple_Type  # Type as name
    
            dataCurve = bpy.data.curves.new(name, type='CURVE')  # curve data block
            newSpline = dataCurve.splines.new(type=splineType)          # spline
    
            # create object with new Curve
            Curve = object_utils.object_data_add(context, dataCurve, operator=self)  # place in active scene
            Curve.select_set(True)
    
        for spline in Curve.data.splines:
            if spline.type == 'BEZIER':
                for point in spline.bezier_points:
                    point.select_control_point = False
                    point.select_left_handle = False
                    point.select_right_handle = False
            else:
                for point in spline.points:
                    point.select = False
    
        if splineType == 'BEZIER':
            newSpline.bezier_points.add(int(len(vertArray) * 0.33))
            newSpline.bezier_points.foreach_set('co', vertArray)
            for point in newSpline.bezier_points:
                point.handle_right_type = self.handleType
                point.handle_left_type = self.handleType
    
                point.select_control_point = True
                point.select_left_handle = True
                point.select_right_handle = True
                all_points.append(point)
    
        else:
            newSpline.points.add(int(len(vertArray) * 0.25 - 1))
            newSpline.points.foreach_set('co', vertArray)
            newSpline.use_endpoint_u = True
    
            for point in newSpline.points:
                all_points.append(point)
                point.select = True
    
        if splineType == 'BEZIER':
            if self.Simple_Type == 'Circle' or self.Simple_Type == 'Arc' or \
               self.Simple_Type == 'Sector' or self.Simple_Type == 'Segment' or \
               self.Simple_Type == 'Ellipse':
    
                for p in all_points:
                    p.handle_right_type = 'FREE'
                    p.handle_left_type = 'FREE'
    
            if self.Simple_Type == 'Circle':
                i = 0
                for p1 in all_points:
                    if i != (n - 1):
                        p2 = all_points[i + 1]
                        u1 = asin(p1.co.y / self.Simple_radius)
                        u2 = asin(p2.co.y / self.Simple_radius)
                        if p1.co.x > 0 and p2.co.x < 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        elif p1.co.x < 0 and p2.co.x > 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        u = u2 - u1
                        if u < 0:
                            u = -u
                        l = 4 / 3 * tan(1 / 4 * u) * self.Simple_radius
                        v1 = Vector((-p1.co.y, p1.co.x, 0))
                        v1.normalize()
                        v2 = Vector((-p2.co.y, p2.co.x, 0))
                        v2.normalize()
                        vh1 = v1 * l
                        vh2 = v2 * l
    
                        v1 = Vector((p1.co.x, p1.co.y, 0)) + vh1
                        v2 = Vector((p2.co.x, p2.co.y, 0)) - vh2
                        p1.handle_right = v1
                        p2.handle_left = v2
    
                    if i == (n - 1):
                        p2 = all_points[0]
                        u1 = asin(p1.co.y / self.Simple_radius)
                        u2 = asin(p2.co.y / self.Simple_radius)
                        if p1.co.x > 0 and p2.co.x < 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        elif p1.co.x < 0 and p2.co.x > 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        u = u2 - u1
                        if u < 0:
                            u = -u
                        l = 4 / 3 * tan(1 / 4 * u) * self.Simple_radius
                        v1 = Vector((-p1.co.y, p1.co.x, 0))
                        v1.normalize()
                        v2 = Vector((-p2.co.y, p2.co.x, 0))
                        v2.normalize()
                        vh1 = v1 * l
                        vh2 = v2 * l
    
                        v1 = Vector((p1.co.x, p1.co.y, 0)) + vh1
                        v2 = Vector((p2.co.x, p2.co.y, 0)) - vh2
                        p1.handle_right = v1
                        p2.handle_left = v2
    
            if self.Simple_Type == 'Ellipse':
                all_points[0].handle_right = Vector((self.Simple_a, self.Simple_b * d, 0))
                all_points[0].handle_left = Vector((self.Simple_a, -self.Simple_b * d, 0))
                all_points[1].handle_right = Vector((-self.Simple_a * d, self.Simple_b, 0))
                all_points[1].handle_left = Vector((self.Simple_a * d, self.Simple_b, 0))
                all_points[2].handle_right = Vector((-self.Simple_a, -self.Simple_b * d, 0))
                all_points[2].handle_left = Vector((-self.Simple_a, self.Simple_b * d, 0))
                all_points[3].handle_right = Vector((self.Simple_a * d, -self.Simple_b, 0))
                all_points[3].handle_left = Vector((-self.Simple_a * d, -self.Simple_b, 0))
    
            if self.Simple_Type == 'Arc':
                i = 0
                for p1 in all_points:
                    if i != (n - 1):
                        p2 = all_points[i + 1]
                        u1 = asin(p1.co.y / self.Simple_radius)
                        u2 = asin(p2.co.y / self.Simple_radius)
                        if p1.co.x > 0 and p2.co.x < 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        elif p1.co.x < 0 and p2.co.x > 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        u = u2 - u1
                        if u < 0:
                            u = -u
                        l = 4 / 3 * tan(1 / 4 * u) * self.Simple_radius
                        v1 = Vector((-p1.co.y, p1.co.x, 0))
                        v1.normalize()
                        v2 = Vector((-p2.co.y, p2.co.x, 0))
                        v2.normalize()
                        vh1 = v1 * l
                        vh2 = v2 * l
                        if self.Simple_startangle < self.Simple_endangle:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) + vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) - vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                        else:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) - vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) + vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                    i += 1
    
                all_points[0].handle_left_type = 'VECTOR'
                all_points[-1].handle_right_type = 'VECTOR'
    
            if self.Simple_Type == 'Sector':
                i = 0
                for p1 in all_points:
                    if i == 0:
                        p1.handle_right_type = 'VECTOR'
                        p1.handle_left_type = 'VECTOR'
                    elif i != (n - 1):
                        p2 = all_points[i + 1]
                        u1 = asin(p1.co.y / self.Simple_radius)
                        u2 = asin(p2.co.y / self.Simple_radius)
                        if p1.co.x > 0 and p2.co.x < 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        elif p1.co.x < 0 and p2.co.x > 0:
                            u1 = acos(p1.co.x / self.Simple_radius)
                            u2 = acos(p2.co.x / self.Simple_radius)
                        u = u2 - u1
                        if u < 0:
                            u = -u
                        l = 4 / 3 * tan(1 / 4 * u) * self.Simple_radius
                        v1 = Vector((-p1.co.y, p1.co.x, 0))
                        v1.normalize()
                        v2 = Vector((-p2.co.y, p2.co.x, 0))
                        v2.normalize()
                        vh1 = v1 * l
                        vh2 = v2 * l
                        if self.Simple_startangle < self.Simple_endangle:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) + vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) - vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                        else:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) - vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) + vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                    i += 1
    
                all_points[0].handle_left_type = 'VECTOR'
                all_points[0].handle_right_type = 'VECTOR'
                all_points[1].handle_left_type = 'VECTOR'
                all_points[-1].handle_right_type = 'VECTOR'
    
            if self.Simple_Type == 'Segment':
                i = 0
                if self.Simple_a > self.Simple_b:
                    Segment_a = self.Simple_a
                    Segment_b = self.Simple_b
                if self.Simple_a < self.Simple_b:
                    Segment_b = self.Simple_a
                    Segment_a = self.Simple_b
                for p1 in all_points:
                    if i < (n / 2 - 1):
                        p2 = all_points[i + 1]
                        u1 = asin(p1.co.y / Segment_a)
                        u2 = asin(p2.co.y / Segment_a)
                        if p1.co.x > 0 and p2.co.x < 0:
                            u1 = acos(p1.co.x / Segment_a)
                            u2 = acos(p2.co.x / Segment_a)
                        elif p1.co.x < 0 and p2.co.x > 0:
                            u1 = acos(p1.co.x / Segment_a)
                            u2 = acos(p2.co.x / Segment_a)
                        u = u2 - u1
                        if u < 0:
                            u = -u
                        l = 4 / 3 * tan(1 / 4 * u) * Segment_a
                        v1 = Vector((-p1.co.y, p1.co.x, 0))
                        v1.normalize()
                        v2 = Vector((-p2.co.y, p2.co.x, 0))
                        v2.normalize()
                        vh1 = v1 * l
                        vh2 = v2 * l
                        if self.Simple_startangle < self.Simple_endangle:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) + vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) - vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                        else:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) - vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) + vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                    elif i != (n / 2 - 1) and i != (n - 1):
                        p2 = all_points[i + 1]
                        u1 = asin(p1.co.y / Segment_b)
                        u2 = asin(p2.co.y / Segment_b)
                        if p1.co.x > 0 and p2.co.x < 0:
                            u1 = acos(p1.co.x / Segment_b)
                            u2 = acos(p2.co.x / Segment_b)
                        elif p1.co.x < 0 and p2.co.x > 0:
                            u1 = acos(p1.co.x / Segment_b)
                            u2 = acos(p2.co.x / Segment_b)
                        u = u2 - u1
                        if u < 0:
                            u = -u
                        l = 4 / 3 * tan(1 / 4 * u) * Segment_b
                        v1 = Vector((-p1.co.y, p1.co.x, 0))
                        v1.normalize()
                        v2 = Vector((-p2.co.y, p2.co.x, 0))
                        v2.normalize()
                        vh1 = v1 * l
                        vh2 = v2 * l
                        if self.Simple_startangle < self.Simple_endangle:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) - vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) + vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
                        else:
                            v1 = Vector((p1.co.x, p1.co.y, 0)) + vh1
                            v2 = Vector((p2.co.x, p2.co.y, 0)) - vh2
                            p1.handle_right = v1
                            p2.handle_left = v2
    
                    i += 1
                all_points[0].handle_left_type = 'VECTOR'
                all_points[n - 1].handle_right_type = 'VECTOR'
                all_points[int(n / 2) - 1].handle_right_type = 'VECTOR'
                all_points[int(n / 2)].handle_left_type = 'VECTOR'
    
        # set newSpline Options
        newSpline.use_cyclic_u = self.use_cyclic_u
        newSpline.use_endpoint_u = self.endp_u
        newSpline.order_u = self.order_u
    
        # set curve Options
        Curve.data.dimensions = self.shape
        Curve.data.use_path = True
        if self.shape == '3D':
            Curve.data.fill_mode = 'FULL'
        else:
            Curve.data.fill_mode = 'BOTH'
    
        # move and rotate spline in edit mode
        if bpy.context.mode == 'EDIT_CURVE':
            if self.align == "WORLD":
                location = self.location - context.active_object.location
                bpy.ops.transform.translate(value = location, orient_type='GLOBAL')
                bpy.ops.transform.rotate(value = self.rotation[0], orient_axis = 'X', orient_type='GLOBAL')
                bpy.ops.transform.rotate(value = self.rotation[1], orient_axis = 'Y', orient_type='GLOBAL')
                bpy.ops.transform.rotate(value = self.rotation[2], orient_axis = 'Z', orient_type='GLOBAL')
    
            elif self.align == "VIEW":
                bpy.ops.transform.translate(value = self.location)
                bpy.ops.transform.rotate(value = self.rotation[0], orient_axis = 'X')
                bpy.ops.transform.rotate(value = self.rotation[1], orient_axis = 'Y')
                bpy.ops.transform.rotate(value = self.rotation[2], orient_axis = 'Z')
    
            elif self.align == "CURSOR":
                location = context.active_object.location
                self.location = bpy.context.scene.cursor.location - location
                self.rotation = bpy.context.scene.cursor.rotation_euler
    
                bpy.ops.transform.translate(value = self.location)
                bpy.ops.transform.rotate(value = self.rotation[0], orient_axis = 'X')
                bpy.ops.transform.rotate(value = self.rotation[1], orient_axis = 'Y')
                bpy.ops.transform.rotate(value = self.rotation[2], orient_axis = 'Z')
    
    
    def menu(self, context):
    
        oper1 = self.layout.operator(Simple.bl_idname, text="Angle", icon="DRIVER_ROTATIONAL_DIFFERENCE")
    
        oper1.Simple_Type = "Angle"
    
        oper2 = self.layout.operator(Simple.bl_idname, text="Arc", icon="MOD_THICKNESS")
    
        oper2.Simple_Type = "Arc"
    
        oper3 = self.layout.operator(Simple.bl_idname, text="Circle", icon="ANTIALIASED")
    
        oper3.Simple_Type = "Circle"
    
        oper4 = self.layout.operator(Simple.bl_idname, text="Distance", icon="DRIVER_DISTANCE")
    
        oper4.Simple_Type = "Distance"
    
        oper5 = self.layout.operator(Simple.bl_idname, text="Ellipse", icon="MESH_TORUS")
    
        oper5.Simple_Type = "Ellipse"
    
        oper6 = self.layout.operator(Simple.bl_idname, text="Line", icon="MOD_SIMPLIFY")
    
        oper6.Simple_Type = "Line"
    
        oper6.use_cyclic_u = False
        oper6.shape = '3D'
    
        oper7 = self.layout.operator(Simple.bl_idname, text="Point", icon="LAYER_ACTIVE")
    
        oper7.Simple_Type = "Point"
    
        oper8 = self.layout.operator(Simple.bl_idname, text="Polygon", icon="SEQ_CHROMA_SCOPE")
    
        oper8.Simple_Type = "Polygon"
    
        oper9 = self.layout.operator(Simple.bl_idname, text="Polygon ab", icon="SEQ_CHROMA_SCOPE")
    
        oper9.Simple_Type = "Polygon_ab"
    
        oper10 = self.layout.operator(Simple.bl_idname, text="Rectangle", icon="MESH_PLANE")
    
        oper10.Simple_Type = "Rectangle"
    
        oper11 = self.layout.operator(Simple.bl_idname, text="Rhomb", icon="DECORATE_ANIMATE")
    
        oper11.Simple_Type = "Rhomb"
    
        oper12 = self.layout.operator(Simple.bl_idname, text="Sector", icon="CON_SHRINKWRAP")
    
        oper12.Simple_Type = "Sector"
    
        oper13 = self.layout.operator(Simple.bl_idname, text="Segment", icon="MOD_SIMPLEDEFORM")
    
        oper13.Simple_Type = "Segment"
    
        oper14 = self.layout.operator(Simple.bl_idname, text="Trapezoid", icon="MOD_EDGESPLIT")
    
        oper14.Simple_Type = "Trapezoid"
    
    # ------------------------------------------------------------
    # Simple operator
    
    
    class Simple(Operator, object_utils.AddObjectHelper):
    
        bl_idname = "curve.simple"
    
        bl_label = "Simple Curve"
        bl_description = "Construct a Simple Curve"
    
        bl_options = {'REGISTER', 'UNDO', 'PRESET'}
    
    
        # change properties
    
        Simple : BoolProperty(
    
                name="Simple",
                default=True,
                description="Simple Curve"
                )
    
        Simple_Change : BoolProperty(
    
                name="Change",
                default=False,
                description="Change Simple Curve"
                )
    
        Simple_Delete : StringProperty(
    
                name="Delete",
                description="Delete Simple Curve"
                )
    
        # general properties
    
        Types = [('Point', "Point", "Construct a Point"),
                 ('Line', "Line", "Construct a Line"),
    
                 ('Distance', "Distance", "Construct a two point Distance"),
    
                 ('Angle', "Angle", "Construct an Angle"),
                 ('Circle', "Circle", "Construct a Circle"),
                 ('Ellipse', "Ellipse", "Construct an Ellipse"),
                 ('Arc', "Arc", "Construct an Arc"),
                 ('Sector', "Sector", "Construct a Sector"),
                 ('Segment', "Segment", "Construct a Segment"),
                 ('Rectangle', "Rectangle", "Construct a Rectangle"),
                 ('Rhomb', "Rhomb", "Construct a Rhomb"),
                 ('Polygon', "Polygon", "Construct a Polygon"),
                 ('Polygon_ab', "Polygon ab", "Construct a Polygon ab"),
                 ('Trapezoid', "Trapezoid", "Construct a Trapezoid")
                ]
    
        Simple_Type : EnumProperty(
    
                name="Type",
                description="Form of Curve to create",
                items=Types
                )
    
        # Line properties
    
        Simple_endlocation : FloatVectorProperty(
    
                name="",
                description="End location",
                default=(2.0, 2.0, 2.0),
                subtype='TRANSLATION'
                )
    
        # Trapezoid properties
    
        Simple_a : FloatProperty(
    
                name="Side a",
                default=2.0,
                min=0.0, soft_min=0.0,
                unit='LENGTH',
                description="a side Value"
                )
    
        Simple_b : FloatProperty(
    
                name="Side b",
                default=1.0,
                min=0.0, soft_min=0.0,
                unit='LENGTH',
                description="b side Value"
                )
    
        Simple_h : FloatProperty(
    
                name="Height",
                default=1.0,
                unit='LENGTH',
                description="Height of the Trapezoid - distance between a and b"
                )
    
        Simple_angle : FloatProperty(
    
                name="Angle",
                default=45.0,
                description="Angle"
                )
    
        Simple_startangle : FloatProperty(
    
                name="Start angle",
                default=0.0,
                min=-360.0, soft_min=-360.0,
                max=360.0, soft_max=360.0,
                description="Start angle"
                )
    
        Simple_endangle : FloatProperty(
    
                name="End angle",
                default=45.0,
                min=-360.0, soft_min=-360.0,
                max=360.0, soft_max=360.0,
                description="End angle"
                )
    
        Simple_sides : IntProperty(
    
                name="Sides",
                default=3,
                min=0, soft_min=0,
                description="Sides"
                )
    
        Simple_radius : FloatProperty(
    
                name="Radius",
                default=1.0,
                min=0.0, soft_min=0.0,
                unit='LENGTH',
                description="Radius"
                )
    
        Simple_center : BoolProperty(
    
                name="Length center",
                default=True,
                description="Length center"
                )
    
        Angle_types = [('Degrees', "Degrees", "Use Degrees"),
                       ('Radians', "Radians", "Use Radians")]
    
        Simple_degrees_or_radians : EnumProperty(
    
                name="Degrees or radians",
                description="Degrees or radians",
                items=Angle_types
                )
    
        # Rectangle properties
    
        Simple_width : FloatProperty(
    
                name="Width",
                default=2.0,
                min=0.0, soft_min=0,
                unit='LENGTH',
                description="Width"
                )
    
        Simple_length : FloatProperty(
    
                name="Length",
                default=2.0,
                min=0.0, soft_min=0.0,
                unit='LENGTH',
                description="Length"
                )
    
        Simple_rounded : FloatProperty(
    
                name="Rounded",
                default=0.0,
                min=0.0, soft_min=0.0,
                unit='LENGTH',