xtd 0.2.0
math.cpp

This example uses several mathematical and trigonometric functions from the xtd::math class to calculate the inner angles of a trapezoid.

#include <xtd/xtd>
using namespace xtd;
namespace math_example {
// The following class represents simple functionality of the trapezoid.
class math_trapezoid_sample {
public:
// The main entry point for the application.
static auto main() {
math_trapezoid_sample trpz(20.0, 10.0, 8.0, 6.0);
console::write_line("The trapezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0");
double h = trpz.get_height();
console::write_line("trapezoid height is: {0}", h);
console::write_line("trapezoid left base angle is: {0} Radians", dx_r);
console::write_line("trapezoid right base angle is: {0} Radians", dy_r);
double dx_d = trpz.get_left_base_degree_angle();
console::write_line("trapezoid left base angle is: {0} Degrees", dx_d);
double dy_d = trpz.get_right_base_degree_angle();
console::write_line("trapezoid left base angle is: {0} Degrees", dy_d);
}
math_trapezoid_sample(double long_base, double short_base, double left_leg, double right_leg) {
long_base_ = math::abs(long_base);
short_base_ = math::abs(short_base);
left_leg_ = math::abs(left_leg);
right_leg_ = math::abs(right_leg);
}
double get_height() {
double x = get_right_small_base();
return math::sqrt(math::pow(right_leg_, 2.0) - math::pow(x, 2.0));
}
double get_square() {
return get_height() * long_base_ / 2.0;
}
double sin_x = get_height() / left_leg_;
return math::round(math::asin(sin_x), 2);
}
double x = get_right_small_base();
double cos_x = (math::pow(right_leg_, 2.0) + math::pow(x, 2.0) - math::pow(get_height(), 2.0)) / (2 * x * right_leg_);
return math::round(math::acos(cos_x), 2);
}
double get_left_base_degree_angle() {
return math::round(x, 2);
}
double get_right_base_degree_angle() {
return math::round(x, 2);
}
private:
double long_base_;
double short_base_;
double left_leg_;
double right_leg_;
double get_right_small_base() {
return (math::pow(right_leg_, 2.0) - math::pow(left_leg_, 2.0) + math::pow(long_base_, 2.0) + math::pow(short_base_, 2.0) - 2 * short_base_ * long_base_) / (2 * (long_base_ - short_base_));
}
};
}
startup_(math_example::math_trapezoid_sample);
// This code produces the following output:
//
// The trapezoid's bases are 20.0 and 10.0, the trapezoid's legs are 8.0 and 6.0
// trapezoid height is: 4.8
// trapezoid left base angle is: 0.64 Radians
// trapezoid right base angle is: 0.93 Radians
// trapezoid left base angle is: 36.67 Degrees
// trapezoid left base angle is: 53.29 Degrees