def triangle_area_loop():
'''() -> number
Return the area of a triangle with dimentions base and height given by the user.
'''
base = int(input("enter the triangle's base: "))
height = int(input("enter the triangle's height: "))
area = triangle_area.triangle_area(base, height)
return area
def triangle_monomial_integral(i, j, t):
#*****************************************************************************80
#
## TRIANGLE_MONOMIAL_INTEGRAL integrates a monomial over an arbitrary triangle.
#
# Location:
#
# http://people.sc.fsu.edu/~jburkardt/py_src/triangle_integrals/triangle_monomial_integral.py
#
# Licensing:
#
# This code is distributed under the GNU LGPL license.
#
# Modified:
#
# 23 April 2015
#
# Author:
#
# John Burkardt
#
# Parameters:
#
# Input, integer I, J, the exponents of X and Y in the monomial.
# 0 <= I, J.
#
# Input, real T(2,3), the vertices of the triangle.
#
# Output, real Q, the integral of X^I * Y^J over triangle T.
#
import numpy as np
from poly_power_linear import poly_power_linear
from poly_product import poly_product
from rs_to_xy_map import rs_to_xy_map
from triangle_area import triangle_area
from triangle01_poly_integral import triangle01_poly_integral
#
# Get map coefficients from reference RS triangle to general XY triangle.
# R = a+b*X+c*Y
# S = d+e*X+f*Y
#
a, b, c, d, e, f = rs_to_xy_map(t)
#
# Compute
# P1(R,S) = (a+b*R+c*S)^i.
# P2(R,S) = (d+e*R+f*S)^j.
#
d1 = 1
p1 = np.array([a, b, c])
dp1, pp1 = poly_power_linear(d1, p1, i)
d2 = 1
p2 = np.array([d, e, f])
dp2, pp2 = poly_power_linear(d2, p2, j)
#
# Compute the product
# P3(R,S) = (a+b*R+c*S)^i * (d+e*R+f*S)^j.
#
d3, p3 = poly_product(dp1, pp1, dp2, pp2)
#
# Compute the integral of P3(R,S) over the reference triangle.
#
q = triangle01_poly_integral(d3, p3)
#
# Multiply by the area of the physical triangle T(X,Y) divided by
# the area of the reference triangle.
#
q = q * triangle_area(t) / 0.5
return q
def test_triangle_area_side_length_0(self):
eq_(0, triangle_area(0))
def test_triangle_area_side_length10(self):
eq_(55, triangle_area(10))
def test_triangle_area_side_length_negative(self):
eq_(0, triangle_area(-5))
def test_triangle_area_side_length_1(self):
eq_(1, triangle_area(1))
def test_triangle_area_side_length2(self):
eq_(3, triangle_area(2))
def test_triangle_area_side_length_0(self):
eq_(0, triangle_area(0))
def test_triangle_area_side_length_negative(self):
eq_(0, triangle_area(-5))
def test_triangle_area_side_length10(self):
eq_(55, triangle_area(10))
def test_triangle_area_side_length2(self):
eq_(3, triangle_area(2))
def test_triangle_area_side_length_1(self):
eq_(1, triangle_area(1))