#!/usr/bin/env python3;
###############################################################################
# This program demonstrates the math library.
# 
# Copyright © 2016 Richard Lesh.  All rights reserved.
###############################################################################

import Utils
import math
import random

# Begin Main
a = math.pi / 6
b = math.pi / 4
c = -a * 2
d = -b * 2
e = math.e

print("pi = {0:f}".format(math.pi))
print("e = {0:f}".format(math.e))

# abs, floor, ceil, round, trunc, min, max
print("abs({0:f}) = {1:f}".format(a, abs(a)))
print("abs({0:f}) = {1:f}".format(c, abs(c)))
print("floor({0:f}) = {1:f}".format(a, math.floor(a)))
print("floor({0:f}) = {1:f}".format(c, math.floor(c)))
print("ceil({0:f}) = {1:f}".format(a, math.ceil(a)))
print("ceil({0:f}) = {1:f}".format(c, math.ceil(c)))
print("round({0:f}) = {1:f}".format(a, round(a)))
print("round({0:f}) = {1:f}".format(c, round(c)))
print("trunc({0:f}) = {1:f}".format(a, math.trunc(a)))
print("trunc({0:f}) = {1:f}".format(c, math.trunc(c)))
print("min({0:f}, {1:f}) = {2:f}".format(a, c, min(a, c)))
print("max({0:f}, {1:f}) = {2:f}".format(a, c, max(a, c)))

# sin, cos, tan, atan, atan2, acos, asin
print("sin({0:f}) = {1:f}".format(a, math.sin(a)))
print("sin({0:f}) = {1:f}".format(b, math.sin(b)))
print("sin({0:f}) = {1:f}".format(c, math.sin(c)))
print("sin({0:f}) = {1:f}".format(d, math.sin(d)))
print("cos({0:f}) = {1:f}".format(a, math.cos(a)))
print("cos({0:f}) = {1:f}".format(b, math.cos(b)))
print("cos({0:f}) = {1:f}".format(c, math.cos(c)))
print("cos({0:f}) = {1:f}".format(d, math.cos(d)))
print("tan({0:f}) = {1:f}".format(a, math.tan(a)))
print("tan({0:f}) = {1:f}".format(b, math.tan(b)))
print("tan({0:f}) = {1:f}".format(c, math.tan(c)))
print("asin({0:f}) = {1:f}".format(math.sin(a), math.asin(math.sin(a))))
print("asin({0:f}) = {1:f}".format(math.sin(b), math.asin(math.sin(b))))
print("asin({0:f}) = {1:f}".format(math.sin(c), math.asin(math.sin(c))))
print("asin({0:f}) = {1:f}".format(math.sin(d), math.asin(math.sin(d))))
print("acos({0:f}) = {1:f}".format(math.cos(a), math.acos(math.cos(a))))
print("acos({0:f}) = {1:f}".format(math.cos(b), math.acos(math.cos(b))))
print("acos({0:f}) = {1:f}".format(math.cos(c), math.acos(math.cos(c))))
print("acos({0:f}) = {1:f}".format(math.cos(d), math.acos(math.cos(d))))
print("atan({0:f}) = {1:f}".format(math.tan(a), math.atan(math.tan(a))))
print("atan({0:f}) = {1:f}".format(math.tan(b), math.atan(math.tan(b))))
print("atan({0:f}) = {1:f}".format(math.tan(c), math.atan(math.tan(c))))
# 45 degrees
print("atan2({0:f}, {1:f}) = {2:f}".format(1.0, 1.0, math.atan2(1.0, 1.0)))
# 30 degrees
print("atan2({0:f}, {1:f}) = {2:f}".format(1.0, math.sqrt(3.0), math.atan2(1.0, math.sqrt(3.0))))

# sinh, cosh, tanh, atanh, acosh, asinh
print("sinh({0:f}) = {1:f}".format(a, math.sinh(a)))
print("sinh({0:f}) = {1:f}".format(b, math.sinh(b)))
print("sinh({0:f}) = {1:f}".format(c, math.sinh(c)))
print("sinh({0:f}) = {1:f}".format(d, math.sinh(d)))
print("cosh({0:f}) = {1:f}".format(a, math.cosh(a)))
print("cosh({0:f}) = {1:f}".format(b, math.cosh(b)))
print("cosh({0:f}) = {1:f}".format(c, math.cosh(c)))
print("cosh({0:f}) = {1:f}".format(d, math.cosh(d)))
print("tanh({0:f}) = {1:f}".format(a, math.tanh(a)))
print("tanh({0:f}) = {1:f}".format(b, math.tanh(b)))
print("tanh({0:f}) = {1:f}".format(c, math.tanh(c)))
print("tanh({0:f}) = {1:f}".format(d, math.tanh(d)))
print("asinh({0:f}) = {1:f}".format(math.sinh(a), math.asinh(math.sinh(a))))
print("asinh({0:f}) = {1:f}".format(math.sinh(b), math.asinh(math.sinh(b))))
print("asinh({0:f}) = {1:f}".format(math.sinh(c), math.asinh(math.sinh(c))))
print("asinh({0:f}) = {1:f}".format(math.sinh(d), math.asinh(math.sinh(d))))
print("acosh({0:f}) = {1:f}".format(math.cosh(a), math.acosh(math.cosh(a))))
print("acosh({0:f}) = {1:f}".format(math.cosh(b), math.acosh(math.cosh(b))))
print("acosh({0:f}) = {1:f}".format(math.cosh(c), math.acosh(math.cosh(c))))
print("acosh({0:f}) = {1:f}".format(math.cosh(d), math.acosh(math.cosh(d))))
print("atanh({0:f}) = {1:f}".format(math.tanh(a), math.atanh(math.tanh(a))))
print("atanh({0:f}) = {1:f}".format(math.tanh(b), math.atanh(math.tanh(b))))
print("atanh({0:f}) = {1:f}".format(math.tanh(c), math.atanh(math.tanh(c))))
print("atanh({0:f}) = {1:f}".format(math.tanh(d), math.atanh(math.tanh(d))))

# log, log10, exp, pow, sqrt
print("log({0:f}) = {1:f}".format(a, math.log(a)))
print("log({0:f}) = {1:f}".format(b, math.log(b)))
print("log({0:f}) = {1:f}".format(-c, math.log(-c)))
print("log({0:f}) = {1:f}".format(-d, math.log(-d)))
print("log({0:f}) = {1:f}".format(e, math.log(e)))
print("log10({0:f}) = {1:f}".format(a, math.log10(a)))
print("log10({0:f}) = {1:f}".format(b, math.log10(b)))
print("log10({0:f}) = {1:f}".format(-c, math.log10(-c)))
print("log10({0:f}) = {1:f}".format(-d, math.log10(-d)))
print("log10({0:f}) = {1:f}".format(e, math.log10(e)))
print("exp({0:f}) = {1:f}".format(0.5, math.exp(0.5)))
print("exp({0:f}) = {1:f}".format(1.0, math.exp(1.0)))
print("exp({0:f}) = {1:f}".format(2.0, math.exp(2.0)))
print("pow({0:f}, {1:f}) = {2:f}".format(10.0, 0.5, math.pow(10.0, 0.5)))
print("pow({0:f}, {1:f}) = {2:f}".format(10.0, 1.0, math.pow(10.0, 1.0)))
print("pow({0:f}, {1:f}) = {2:f}".format(10.0, 2.0, math.pow(10.0, 2.0)))
print("sqrt({0:f}) = {1:f}".format(0.5, math.sqrt(0.5)))
print("sqrt({0:f}) = {1:f}".format(2.0, math.sqrt(2.0)))
print("sqrt({0:f}) = {1:f}".format(10.0, math.sqrt(10.0)))

# random numbers
print("random() = {0:f}".format(random.random()))
print("random() = {0:f}".format(random.random()))
print("random() = {0:f}".format(random.random()))