mamk_misc/doc/mathmaker4doxygen/lib/common/pythagorean.py

# -*- coding: utf-8 -*-

# Mathmaker creates automatically maths exercises sheets
# with their answers
# Copyright 2006-2014 Nicolas Hainaux <nico_h@users.sourceforge.net>

# This file is part of Mathmaker.

# Mathmaker is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or
# any later version.

# Mathmaker 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 General Public License for more details.

# You should have received a copy of the GNU General Public License
# along with Mathmaker; if not, write to the Free Software
# Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA

ALL_TRIPLES_5_100 = [ \
[3, 4, 5],
[6, 8, 10],
[5, 12, 13],
[9, 12, 15],
[8, 15, 17],
[12, 16, 20],
[7, 24, 25],
[15, 20, 25],
[10, 24, 26],
[20, 21, 29],
[18, 24, 30],
[16, 30, 34],
[21, 28, 35],
[12, 35, 37],
[15, 36, 39],
[24, 32, 40],
[9, 40, 41],
[27, 36, 45],
[14, 48, 50],
[24, 45, 51],
[20, 48, 52],
[28, 45, 53],
[33, 44, 55],
[40, 42, 58],
[36, 48, 60],
[11, 60, 61],
[16, 63, 65],
[25, 60, 65],
[33, 56, 65],
[39, 52, 65],
[32, 60, 68],
[42, 56, 70],
[48, 55, 73],
[24, 70, 74],
[21, 72, 75],
[45, 60, 75],
[30, 72, 78],
[48, 64, 80],
[18, 80, 82],
[13, 84, 85],
[36, 77, 85],
[40, 75, 85],
[51, 68, 85],
[60, 63, 87],
[39, 80, 89],
[54, 72, 90],
[35, 84, 91],
[57, 76, 95],
[65, 72, 97],
[28, 96, 100]
]

TRIPLES_101_200_WO_TEN_MULTIPLES = [ \
[20, 99, 101],
[48, 90, 102],
[40, 96, 104],
[63, 84, 105],
[56, 90, 106],
[60, 91, 109],
[66, 88, 110],
[36, 105, 111],
[15, 112, 113],
[69, 92, 115],
[80, 84, 116],
[45, 108, 117],
[56, 105, 119],
[72, 96, 120],
[22, 120, 122],
[27, 120, 123],
[35, 120, 125],
[44, 117, 125],
[75, 100, 125],
[32, 126, 130],
[66, 112, 130],
[78, 104, 130],
[81, 108, 135],
[64, 120, 136],
[88, 105, 137],
[84, 112, 140],
[55, 132, 143],
[17, 144, 145],
[24, 143, 145],
[87, 116, 145],
[100, 105, 145],
[96, 110, 146],
[48, 140, 148],
[51, 140, 149],
[42, 144, 150],
[72, 135, 153],
[93, 124, 155],
[60, 144, 156],
[85, 132, 157],
[84, 135, 159],
[96, 128, 160],
[36, 160, 164],
[99, 132, 165],
[65, 156, 169],
[119, 120, 169],
[26, 168, 170],
[72, 154, 170],
[102, 136, 170],
[52, 165, 173],
[120, 126, 174],
[49, 168, 175],
[105, 140, 175],
[78, 160, 178],
[108, 144, 180],
[19, 180, 181],
[70, 168, 182],
[33, 180, 183],
[57, 176, 185],
[60, 175, 185],
[104, 153, 185],
[111, 148, 185],
[88, 165, 187],
[114, 152, 190],
[95, 168, 193],
[130, 144, 194],
[48, 189, 195],
[75, 180, 195],
[99, 168, 195],
[117, 156, 195],
[28, 195, 197],
[56, 192, 200],
]

ALL_TRIPLES_5_200 = [ \
[3, 4, 5],
[6, 8, 10],
[5, 12, 13],
[9, 12, 15],
[8, 15, 17],
[12, 16, 20],
[7, 24, 25],
[15, 20, 25],
[10, 24, 26],
[20, 21, 29],
[18, 24, 30],
[16, 30, 34],
[21, 28, 35],
[12, 35, 37],
[15, 36, 39],
[24, 32, 40],
[9, 40, 41],
[27, 36, 45],
[14, 48, 50],
[30, 40, 50],
[24, 45, 51],
[20, 48, 52],
[28, 45, 53],
[33, 44, 55],
[40, 42, 58],
[36, 48, 60],
[11, 60, 61],
[16, 63, 65],
[25, 60, 65],
[33, 56, 65],
[39, 52, 65],
[32, 60, 68],
[42, 56, 70],
[48, 55, 73],
[24, 70, 74],
[21, 72, 75],
[45, 60, 75],
[30, 72, 78],
[48, 64, 80],
[18, 80, 82],
[13, 84, 85],
[36, 77, 85],
[40, 75, 85],
[51, 68, 85],
[60, 63, 87],
[39, 80, 89],
[54, 72, 90],
[35, 84, 91],
[57, 76, 95],
[65, 72, 97],
[28, 96, 100],
[60, 80, 100],
[20, 99, 101],
[48, 90, 102],
[40, 96, 104],
[63, 84, 105],
[56, 90, 106],
[60, 91, 109],
[66, 88, 110],
[36, 105, 111],
[15, 112, 113],
[69, 92, 115],
[80, 84, 116],
[45, 108, 117],
[56, 105, 119],
[72, 96, 120],
[22, 120, 122],
[27, 120, 123],
[35, 120, 125],
[44, 117, 125],
[75, 100, 125],
[32, 126, 130],
[50, 120, 130],
[66, 112, 130],
[78, 104, 130],
[81, 108, 135],
[64, 120, 136],
[88, 105, 137],
[84, 112, 140],
[55, 132, 143],
[17, 144, 145],
[24, 143, 145],
[87, 116, 145],
[100, 105, 145],
[96, 110, 146],
[48, 140, 148],
[51, 140, 149],
[42, 144, 150],
[90, 120, 150],
[72, 135, 153],
[93, 124, 155],
[60, 144, 156],
[85, 132, 157],
[84, 135, 159],
[96, 128, 160],
[36, 160, 164],
[99, 132, 165],
[65, 156, 169],
[119, 120, 169],
[26, 168, 170],
[72, 154, 170],
[80, 150, 170],
[102, 136, 170],
[52, 165, 173],
[120, 126, 174],
[49, 168, 175],
[105, 140, 175],
[78, 160, 178],
[108, 144, 180],
[19, 180, 181],
[70, 168, 182],
[33, 180, 183],
[57, 176, 185],
[60, 175, 185],
[104, 153, 185],
[111, 148, 185],
[88, 165, 187],
[114, 152, 190],
[95, 168, 193],
[130, 144, 194],
[48, 189, 195],
[75, 180, 195],
[99, 168, 195],
[117, 156, 195],
[28, 195, 197],
[56, 192, 200],
[120, 160, 200]
]





# --------------------------------------------------------------------------
##
#   @brief Will return all [first_leg, second_leg] matching a given hypotenuse
def get_legs_matching_given_hypotenuse(side_length):
    if not type(side_length) == int:
        raise error.WrongArgument(str(side_length), "int")

    result = []

    for elt in ALL_TRIPLES_5_200:
        if elt[2] == side_length:
            result += [elt[0], elt[1]]

    return result





# --------------------------------------------------------------------------
##
#   @brief Will return all leg values matching a given one
def get_legs_matching_given_leg(side_length):
    if not type(side_length) == int:
        raise error.WrongArgument(str(side_length), "int")

    result = []

    for elt in ALL_TRIPLES_5_200:
        if elt[0] == side_length:
            result += [elt[1]]

        elif elt[1] == side_length:
            result += [elt[0]]

    return result