Draft: move functions to draftgeoutils.linear_algebra

This commit is contained in:
vocx-fc
2020-05-22 23:39:27 -05:00
committed by Yorik van Havre
parent 2f41eaaf27
commit d8f770989c
3 changed files with 87 additions and 45 deletions

View File

@@ -40,6 +40,7 @@ SET (Draft_geoutils
draftgeoutils/arcs.py
draftgeoutils/fillets.py
draftgeoutils/offsets.py
draftgeoutils/linear_algebra.py
)
SET(Draft_tests

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@@ -1004,53 +1004,10 @@ def circleFrom3CircleTangents(circle1, circle2, circle3):
return None
def linearFromPoints(p1, p2):
"""Calculate linear equation from points.
Calculate the slope and offset parameters of the linear equation of a line defined by two points.
Linear equation:
y = m * x + b
m = dy / dx
m ... Slope
b ... Offset (point where the line intersects the y axis)
dx/dy ... Delta x and y. Using both as a vector results in a non-offset direction vector.
"""
if isinstance(p1, Vector) and isinstance(p2, Vector):
line = {}
line['dx'] = (p2.x - p1.x)
line['dy'] = (p2.y - p1.y)
line['slope'] = line['dy'] / line['dx']
line['offset'] = p1.y - slope * p1.x
return line
else:
return None
from draftgeoutils.linear_algebra import linearFromPoints
def determinant(mat, n):
"""
determinant(matrix,int) - Determinat function. Returns the determinant
of a n-matrix. It recursively expands the minors.
"""
matTemp = [[0.0,0.0,0.0],[0.0,0.0,0.0],[0.0,0.0,0.0]]
if (n > 1):
if n == 2:
d = mat[0][0] * mat[1][1] - mat[1][0] * mat[0][1]
else:
d = 0.0
for j1 in range(n):
# Create minor
for i in range(1, n):
j2 = 0
for j in range(n):
if j == j1:
continue
matTemp[i-1][j2] = mat[i][j]
j2 += 1
d += (-1.0)**(1.0 + j1 + 1.0) * mat[0][j1] * determinant(matTemp, n-1)
return d
else:
return 0
from draftgeoutils.linear_algebra import determinant
def findHomotheticCenterOfCircles(circle1, circle2):

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@@ -0,0 +1,84 @@
# ***************************************************************************
# * Copyright (c) 2009, 2010 Yorik van Havre <yorik@uncreated.net> *
# * Copyright (c) 2009, 2010 Ken Cline <cline@frii.com> *
# * *
# * This file is part of the FreeCAD CAx development system. *
# * *
# * This program is free software; you can redistribute it and/or modify *
# * it under the terms of the GNU Lesser General Public License (LGPL) *
# * as published by the Free Software Foundation; either version 2 of *
# * the License, or (at your option) any later version. *
# * for detail see the LICENCE text file. *
# * *
# * FreeCAD is distributed in the hope that it will be useful, *
# * but WITHOUT ANY WARRANTY; without even the implied warranty of *
# * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
# * GNU Library General Public License for more details. *
# * *
# * You should have received a copy of the GNU Library General Public *
# * License along with FreeCAD; if not, write to the Free Software *
# * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 *
# * USA *
# * *
# ***************************************************************************
"""Provides various functions for linear algebraic operations.
This includes calculating linear equation parameters, and matrix determinants.
"""
## @package linear_algebra
# \ingroup DRAFTGEOUTILS
# \brief Provides various functions for linear algebraic operations.
import FreeCAD as App
def linearFromPoints(p1, p2):
"""Calculate linear equation from points.
Calculate the slope and offset parameters of the linear equation
of a line defined by two points.
Linear equation:
y = m * x + b
m = dy / dx
m ... Slope
b ... Offset (point where the line intersects the y axis)
dx/dy ... Delta x and y. Using both as a vector results
in a non-offset direction vector.
"""
if not isinstance(p1, App.Vector) and not isinstance(p2, App.Vector):
return None
line = {}
line['dx'] = (p2.x - p1.x)
line['dy'] = (p2.y - p1.y)
line['slope'] = line['dy'] / line['dx']
line['offset'] = p1.y - line['slope'] * p1.x
return line
def determinant(mat, n):
"""Return the determinant of an N-matrix.
It recursively expands the minors.
"""
matTemp = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0]]
if (n > 1):
if n == 2:
d = mat[0][0] * mat[1][1] - mat[1][0] * mat[0][1]
else:
d = 0.0
for j1 in range(n):
# Create minor
for i in range(1, n):
j2 = 0
for j in range(n):
if j == j1:
continue
matTemp[i-1][j2] = mat[i][j]
j2 += 1
d += ((-1.0)**(1.0 + j1 + 1.0)
* mat[0][j1] * determinant(matTemp, n-1))
return d
else:
return 0