#! /usr/local/bin/python
# -*- coding: latin-1 -*-
# Trigonometry
#
# Brendan Gillatt
#
# Released under the MIT License: http://www.opensource.org/licenses/mit-license.php
#

import math

# Here Be Dragons from now on ;]

def sine(inv, opp=0, hyp=0, ang=0):
	opp = float(opp)# convert to float
	hyp = float(hyp)
	ang = float(ang)
	if inv == 'a': # if angle is required to be calculated
		ans = math.degrees(math.asin(opp/hyp)) # return inverse sine of opp divided by hyp, converted to degrees
		return ans
	elif inv == 's': # if a side is required to be calculated
		sinetab = math.sin(math.radians(ang)) # return sine of angle
		sinetab = float(sinetab) # convert to float
		if hyp != 0: # if hyp is empty
			ans = sinetab*hyp 
		elif opp != 0: # if opp is empty
			ans = opp/sinetab
		else:
			print "Error, both sides are non-empty - you've already got your answer!"
		return ans

def cosine(inv, adj=0, hyp=0, ang=0):
	adj = float(adj)# convert to float
	hyp = float(hyp)
	ang = float(ang)
	if inv == 'a': # if angle is required to be calculated
		ans = math.degrees(math.acos(adj/hyp)) # return inverse cosine of adj divided by hyp, converted to degrees
		return ans
	elif inv == 's': # if a side is required to be calculated
		cosinetab = math.cos(math.radians(ang)) # return cosine of angle
		cosinetab = float(cosinetab) # convert to float
		if hyp != 0: # if hyp is empty
			ans = cosinetab*hyp 
		elif adj != 0: # if adj is empty
			ans = adj/cosinetab
		else:
			print "Error, both sides are non-zero - you've already got your answer!"
		return ans

def tan(inv, opp=0, adj=0, ang=0):
	adj = float(adj)# convert to float
	opp = float(opp)
	ang = float(ang)
	if inv == 'a': # if angle is required to be calculated
		ans = math.degrees(math.atan(opp/adj)) # return inverse tan of opp divided by adj, converted to degrees
		return ans
	elif inv == 's': # if a side is required to be calculated
		tantab = math.tan(math.radians(ang)) # return cosine of angle
		if opp != 0: # if opp is empty
			ans = tantab*opp
		elif adj != 0: # if opp is empty
			ans = adj/tantab
		else:
			print "Error, both sides are non-empty - you've already got your answer!"
		return ans


def sincahtoa():
	as = '' # Working out an angle or a side length
	typ = '' # Are we using SOAH CAH or TOA
	
	while as != 'A' and as != 'S': # while an unintelligable entry made. 
		as = raw_input('Work out Angle or a Side? A/S: ') # poll the user for an entry
	
	while typ != 'Sin' and typ != 'Cos' and typ != 'Tan' and typ != 'SOH' and typ != 'CAH' and typ != 'TOA': # while we don't know which sides to use from SOH CAH TOA
		typ = raw_input('Enter type [Sin, Cos, Tan] or [SOH, CAH, TOA]: ') # Poll the user for an entry
	
	if typ == 'Sin' or typ == 'SOH': # if we are calculating something that requires Sine.
		if as == 'A': # If we are working out the angle from the Opposite and Hypotinuse side lengths
			opp = float(raw_input('Enter Opposite: ')) # poll for side length
			hyp = float(raw_input('Enter Hypotinuse: ')) # poll for side length
			print 'Angle:', sine('a',opp,hyp,0), 'ø' # pretty print it including DOS degrees sign.
		else: # We are working either the length of the Opposite or Hypotinuse side.
			ang = float(raw_input('Enter Angle: ')) # poll for the angle known
			opp = float(raw_input('Enter Opposite, 0 for unknown: ')) # poll for Opposite
			hyp = float(raw_input('Enter Hypotinuse, 0 for unknown: ')) # pll for Hypotinuse
			print 'Side:', sine('s',opp,hyp,ang)
	
	elif typ == 'Cos' or typ == 'CAH': # Same as bove but for Cosine
		if as =='A':
			adj = float(raw_input('Enter Adjacent: '))
			hyp = float(raw_input('Enter Hypotinuse: '))
			print 'Angle:', cosine('a',adj,hyp,0), 'ø'
		else:
			ang = float(raw_input('Enter Angle: '))
			adj = float(raw_input('Enter Adjacent, 0 for unknown: '))
			hyp = float(raw_input('Enter Hypotinuse, 0 for unknown: '))
			print 'Side:', cosine('s',adj,hyp,ang)
	
	elif typ == 'Tan' or typ == 'TOA': # Same as bove but for Tangent
		if as =='A':
			adj = float(raw_input('Enter Adjacent: '))
			opp = float(raw_input('Enter Opposite: '))
			print 'Angle:', tan('a',opp,adj,0), 'ø'
		else:
			ang = float(raw_input('Enter Angle: '))
			opp = float(raw_input('Enter Opposite, 0 for unknown: '))
			adj = float(raw_input('Enter Adjacent, 0 for unknown: '))
			print 'Side:', tan('s',adj,opp,ang)

def hypotinuse(s1, s2):
	print math.sqrt(s1**2+s2**2)

def side(h1, s1):
	print math.sqrt(h1**2-s1**2)

def pythag():
	typ = ''
	while typ != 'H' and typ != 'S':
		typ = raw_input('Compute Hypotinuse or Side? H/S: ')
	if typ == 'H':
		s1 = float(raw_input('Enter first side of triangle: '))
		s2 = float(raw_input('Enter second side of triangle: '))
		hypotinuse(s1, s2)
	if typ == 'S':
		h1 = float(raw_input('Enter hypotinuse of triangle: '))
		s1 = float(raw_input('Enter side of triangle: '))
		side(h1, s1)

print "\nBrendan's Trigonometry Calculator \nPlease note that it works to a maximum precision of 10 float point digits.\n"

typ = ''
while typ != 'P' and typ != 'S':
	typ = raw_input('Pythagoras or SOHCAHTOA? P/S: ')

if typ == 'P':
	pythag()
elif typ == 'S':
	sincahtoa()