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Braikenridge-Maclaurin Construction of a Conic #11205

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Braikenridge-Maclaurin Construction of a Conic #11205

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b2b1413
Added conic construction file
Dec 7, 2023
8fdd9f2
Conic section code finalized for preliminary review
Dec 7, 2023
d1f8d66
[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Dec 7, 2023
6b1f8e1
Fixing ISC001 issue
Dec 7, 2023
fca3647
Fixing ISC001 issue
Dec 7, 2023
c853554
Fixing variable declaration
Dec 7, 2023
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56 changes: 29 additions & 27 deletions geometry/braik_mac_construction.py
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Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,7 @@
# 5 Points define a conic section on a 2D normal
# orthogonal plane using this technique


@dataclass
class Point:
"""
Expand All @@ -30,6 +31,7 @@ def __post_init__(self) -> None:
if not isinstance(self.y, (int, float)):
raise TypeError("y must be an int or float numeric value")


@dataclass
class BraikMac:
"""
Expand All @@ -53,15 +55,15 @@ class BraikMac:
Point(x=2.0, y=3.0), Point(x=1.0, y=10.0), Point(x=6.0, y=7.0)])
"""

p_list : list[float] = field(default_factory=list)
p_list: list[float] = field(default_factory=list)

def __post_init__(self) -> None:
n = 0
for p in self.p_list:
if not isinstance(p, Point):
raise TypeError("Array must be point objects.")
n += 1
if n != 5 :
if n != 5:
raise TypeError("Array must be 5 point objects.")

@property
Expand All @@ -79,11 +81,11 @@ def generate(self) -> None:

x2_matrix = array(
[
[x1*y1, y1**2, x1, y1, 1],
[x2*y2, y2**2, x2, y2, 1],
[x3*y3, y3**2, x3, y3, 1],
[x4*y4, y4**2, x4, y4, 1],
[x5*y5, y5**2, x5, y5, 1],
[x1 * y1, y1**2, x1, y1, 1],
[x2 * y2, y2**2, x2, y2, 1],
[x3 * y3, y3**2, x3, y3, 1],
[x4 * y4, y4**2, x4, y4, 1],
[x5 * y5, y5**2, x5, y5, 1],
]
)

Expand All @@ -103,47 +105,47 @@ def generate(self) -> None:

y2_matrix = array(
[
[x1**2, x1*y1, x1, y1, 1],
[x2**2, x2*y2, x2, y2, 1],
[x3**2, x3*y3, x3, y3, 1],
[x4**2, x4*y4, x4, y4, 1],
[x5**2, x5*y5, x5, y5, 1],
[x1**2, x1 * y1, x1, y1, 1],
[x2**2, x2 * y2, x2, y2, 1],
[x3**2, x3 * y3, x3, y3, 1],
[x4**2, x4 * y4, x4, y4, 1],
[x5**2, x5 * y5, x5, y5, 1],
]
)

c = linalg.det(y2_matrix)

x_matrix = array(
[
[x1**2, x1*y1, y1**2, y1, 1],
[x2**2, x2*y2, y2**2, y2, 1],
[x3**2, x3*y3, y3**2, y3, 1],
[x4**2, x4*y4, y4**2, y4, 1],
[x5**2, x5*y5, y5**2, y5, 1],
[x1**2, x1 * y1, y1**2, y1, 1],
[x2**2, x2 * y2, y2**2, y2, 1],
[x3**2, x3 * y3, y3**2, y3, 1],
[x4**2, x4 * y4, y4**2, y4, 1],
[x5**2, x5 * y5, y5**2, y5, 1],
]
)

d = -linalg.det(x_matrix)

y_matrix = array(
[
[x1**2, x1*y1, y1**2, x1, 1],
[x2**2, x2*y2, y2**2, x2, 1],
[x3**2, x3*y3, y3**2, x3, 1],
[x4**2, x4*y4, y4**2, x4, 1],
[x5**2, x5*y5, y5**2, x5, 1],
[x1**2, x1 * y1, y1**2, x1, 1],
[x2**2, x2 * y2, y2**2, x2, 1],
[x3**2, x3 * y3, y3**2, x3, 1],
[x4**2, x4 * y4, y4**2, x4, 1],
[x5**2, x5 * y5, y5**2, x5, 1],
]
)

e = linalg.det(y_matrix)

const_matrix = array(
[
[x1**2, x1*y1, y1**2, x1, y1],
[x2**2, x2*y2, y2**2, x2, y2],
[x3**2, x3*y3, y3**2, x3, y3],
[x4**2, x4*y4, y4**2, x4, y4],
[x5**2, x5*y5, y5**2, x5, y5],
[x1**2, x1 * y1, y1**2, x1, y1],
[x2**2, x2 * y2, y2**2, x2, y2],
[x3**2, x3 * y3, y3**2, x3, y3],
[x4**2, x4 * y4, y4**2, x4, y4],
[x5**2, x5 * y5, y5**2, x5, y5],
]
)

Expand Down