Draw a mathematically correct Ellipse - How to Fix Code?

Question

I was trying to replicate this solution: How to draw a flat ellipse surface in Blender with the following known dimensions?

import bpy
import math
#IMPORTANT : set 3d cursor to world origin

bpy.context.area.spaces[1].cursor_location = (0.0, 0.0, 0.0)
#Add circle curve
bpy.ops.curve.primitive_bezier_circle_add(view_align=False, enter_editmode=False, location=(0, 0, 0), layers=(True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False, False))
#define variables
a = 10
b = 2
c = 3 # I use the half of c
d = 5
#Calculate width
width = a + b   #or width = a + d + b?
#Calculate horizontal distance from world origin of c
distance = b / 2
#Calculate height c for the circle
#x^2 + y^2 = 1, see Unit Circle
x = (distance / (width / 2)) * math.pi * 0.5
cCircle = math.sqrt(1 - x**2)
#now we have to scale the height of the circle, so cCircle becomes c. And give its width.
factor = c / cCircle
bpy.ops.transform.resize(value=((width)/2, factor, 1), constraint_axis=(True, True, False), constraint_orientation='GLOBAL', mirror=False, proportional='DISABLED', proportional_edit_falloff='SMOOTH', proportional_size=1)
#Calculate location origin
originX = -((width) / 2 ) + b
originY = 0
originZ = 0
#Set 3d Cursor at Origin location
bpy.context.area.spaces[1].cursor_location = (originX, originY, originZ)
#Set origin to 3d cursor
bpy.ops.object.origin_set(type='ORIGIN_CURSOR')
#Move object to world origin
bpy.ops.transform.translate(value=((width/2) - b, 0, 0), constraint_axis=(True, False, False), constraint_orientation='GLOBAL', mirror=False, proportional='DISABLED', proportional_edit_falloff='SMOOTH', proportional_size=1, release_confirm=True)
#Voila

But there is a lot of errors on Blender, like this

How to make it work?

Answer 1

import bpy
import math

win = bpy.context.window
scr = win.screen

def use_temp_override():
    version = bpy.app.version
    major = version[0]
    minor = version[1]
    return not (major < 3 or (major == 3 and minor < 2))

def get_areas(type):
    return [area for area in scr.areas if area.type == type]

def get_regions(areas):
    return [region for region in areas[0].regions if region.type == 'WINDOW']

def execute():

    bpy.context.scene.cursor.location = (0,0,0)

    a = 10
    b = 2
    c = 3
    d = 5

    width = a + b
    distance = b / 2

    x = (distance / (width / 2)) * math.pi * 0.5  

    cCircle = math.sqrt(1 - x**2)
    factor = c / cCircle

    areas  = get_areas('VIEW_3D')

    # ========================================================================================
    # (if) execute using temp override
    # ========================================================================================

    if use_temp_override():

        with bpy.context.temp_override(window=win, area=areas[0], regions=get_regions(areas)[0], screen=scr):

            bpy.ops.view3d.snap_cursor_to_center()
            bpy.ops.curve.primitive_bezier_circle_add(radius=1, enter_editmode=False, align='WORLD', location=(0, 0, 0), scale=(1, 1, 1))
            bpy.ops.transform.resize(value=((width)/2, factor, 1), orient_type='GLOBAL', orient_matrix=((1, 0, 0), (0, 1, 0), (0, 0, 1)), orient_matrix_type='GLOBAL', mirror=False, use_proportional_edit=False, proportional_edit_falloff='SMOOTH', proportional_size=1, use_proportional_connected=False, use_proportional_projected=False)
            bpy.context.scene.cursor.location = (-((width) / 2 ) + b, 0, 0)
            bpy.ops.object.origin_set(type='ORIGIN_CURSOR')
            bpy.ops.transform.translate(value=((width/2) - b, 0, 0), orient_axis_ortho='X', orient_type='GLOBAL', orient_matrix=((1, 0, 0), (0, 1, 0), (0, 0, 1)), orient_matrix_type='GLOBAL', mirror=False, use_proportional_edit=False, proportional_edit_falloff='SMOOTH', proportional_size=1, use_proportional_connected=False, use_proportional_projected=False)

    # ========================================================================================
    # (else) execute using legacy override
    # ========================================================================================        

    else:
        override = {
            'window': win,
            'screen': scr,
            'area': areas[0],
            'region': get_regions(areas)[0],
        }
        bpy.ops.view3d.snap_cursor_to_center(override)
        bpy.ops.curve.primitive_bezier_circle_add(override, radius=1, enter_editmode=False, align='WORLD', location=(0, 0, 0), scale=(1, 1, 1))
        bpy.ops.transform.resize(override, value=((width)/2, factor, 1), orient_type='GLOBAL', orient_matrix=((1, 0, 0), (0, 1, 0), (0, 0, 1)), orient_matrix_type='GLOBAL', mirror=False, use_proportional_edit=False, proportional_edit_falloff='SMOOTH', proportional_size=1, use_proportional_connected=False, use_proportional_projected=False)
        bpy.context.scene.cursor.location = (-((width) / 2 ) + b, 0, 0)
        bpy.ops.object.origin_set(override, type='ORIGIN_CURSOR')
        bpy.ops.transform.translate(override, value=((width/2) - b, 0, 0), orient_axis_ortho='X', orient_type='GLOBAL', orient_matrix=((1, 0, 0), (0, 1, 0), (0, 0, 1)), orient_matrix_type='GLOBAL', mirror=False, use_proportional_edit=False, proportional_edit_falloff='SMOOTH', proportional_size=1, use_proportional_connected=False, use_proportional_projected=False)

print("start ======")
execute()