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+# vim: set fileencoding=utf-8 :
+
+# ***********************IMPORTANT NMAP LICENSE TERMS************************
+# *
+# * The Nmap Security Scanner is (C) 1996-2023 Nmap Software LLC ("The Nmap
+# * Project"). Nmap is also a registered trademark of the Nmap Project.
+# *
+# * This program is distributed under the terms of the Nmap Public Source
+# * License (NPSL). The exact license text applying to a particular Nmap
+# * release or source code control revision is contained in the LICENSE
+# * file distributed with that version of Nmap or source code control
+# * revision. More Nmap copyright/legal information is available from
+# * https://nmap.org/book/man-legal.html, and further information on the
+# * NPSL license itself can be found at https://nmap.org/npsl/ . This
+# * header summarizes some key points from the Nmap license, but is no
+# * substitute for the actual license text.
+# *
+# * Nmap is generally free for end users to download and use themselves,
+# * including commercial use. It is available from https://nmap.org.
+# *
+# * The Nmap license generally prohibits companies from using and
+# * redistributing Nmap in commercial products, but we sell a special Nmap
+# * OEM Edition with a more permissive license and special features for
+# * this purpose. See https://nmap.org/oem/
+# *
+# * If you have received a written Nmap license agreement or contract
+# * stating terms other than these (such as an Nmap OEM license), you may
+# * choose to use and redistribute Nmap under those terms instead.
+# *
+# * The official Nmap Windows builds include the Npcap software
+# * (https://npcap.com) for packet capture and transmission. It is under
+# * separate license terms which forbid redistribution without special
+# * permission. So the official Nmap Windows builds may not be redistributed
+# * without special permission (such as an Nmap OEM license).
+# *
+# * Source is provided to this software because we believe users have a
+# * right to know exactly what a program is going to do before they run it.
+# * This also allows you to audit the software for security holes.
+# *
+# * Source code also allows you to port Nmap to new platforms, fix bugs, and add
+# * new features. You are highly encouraged to submit your changes as a Github PR
+# * or by email to the dev@nmap.org mailing list for possible incorporation into
+# * the main distribution. Unless you specify otherwise, it is understood that
+# * you are offering us very broad rights to use your submissions as described in
+# * the Nmap Public Source License Contributor Agreement. This is important
+# * because we fund the project by selling licenses with various terms, and also
+# * because the inability to relicense code has caused devastating problems for
+# * other Free Software projects (such as KDE and NASM).
+# *
+# * The free version of Nmap 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. Warranties,
+# * indemnification and commercial support are all available through the
+# * Npcap OEM program--see https://nmap.org/oem/
+# *
+# ***************************************************************************/
+
+
+class Linear2DInterpolator:
+ """
+ Implements a bidimensional linear interpolator.
+ """
+
+ def __init__(self):
+ """
+ Constructor method of Linear2DInterpolator class
+ """
+ self.__start_point = (0, 0)
+ """Initial point of interpolation"""
+ self.__final_point = (0, 0)
+ """Final point of interpolation"""
+ self.__interpolated_points = []
+ """Interpolated points vector"""
+
+ def set_start_point(self, a, b):
+ """
+ Set initial coordinate
+ Set final coordinate
+ @type a: number
+ @param a: The first component of final point
+ @type b: number
+ @param b: The second component of final point
+ """
+ self.__start_point = (a, b)
+
+ def set_final_point(self, a, b):
+ """
+ Set final coordinate
+ @type a: number
+ @param a: The first component of final point
+ @type b: number
+ @param b: The second component of final point
+ """
+ self.__final_point = (a, b)
+
+ def get_weighed_points(self, number_of_pass, pass_vector):
+ """
+ Return the vector of coordinates between the initial and final
+ coordinates with the specified size
+ @type number_of_pass: number
+ @param number_of_pass: The number of pass of interpolation
+ @rtype: list
+ @return: A list of tuples with interpolated points
+ """
+ (ai, bi) = self.__start_point
+ (af, bf) = self.__final_point
+
+ a_conversion_factor = float(af - ai) / sum(pass_vector)
+ b_conversion_factor = float(bf - bi) / sum(pass_vector)
+
+ a_pass = 0
+ b_pass = 0
+
+ self.__interpolated_points = list(range(number_of_pass))
+
+ for i in range(0, number_of_pass):
+
+ a_pass += pass_vector[i] * a_conversion_factor
+ b_pass += pass_vector[i] * b_conversion_factor
+ self.__interpolated_points[i] = (ai + a_pass, bi + b_pass)
+
+ return self.__interpolated_points
+
+ def get_points(self, number_of_pass):
+ """
+ Return the vector of coordinates between the initial and final
+ coordinates with the specified size
+ @type number_of_pass: number
+ @param number_of_pass: The number of pass of interpolation
+ @rtype: list
+ @return: A list of tuples with interpolated points
+ """
+ (ai, bi) = self.__start_point
+ (af, bf) = self.__final_point
+
+ a_pass = float(af - ai) / number_of_pass
+ b_pass = float(bf - bi) / number_of_pass
+
+ self.__interpolated_points = list(range(number_of_pass))
+
+ for i in range(1, number_of_pass + 1):
+ self.__interpolated_points[i - 1] = (ai + a_pass * i,
+ bi + b_pass * i)
+
+ return self.__interpolated_points
+
+
+if __name__ == "__main__":
+
+ # Testing application
+
+ i = Linear2DInterpolator()
+
+ i.set_start_point(0, 0)
+ i.set_final_point(1, 1)
+
+ print(len(i.get_points(10)), i.get_points(10))