ca5calcv1.py

######### 10353776-John Butler - CA05
#######List of Calculator Functions


#### 1. Temperature conversions using map
def fahrenheit(t):
    return ((float(9)/5)*t + 32)
def celsius(t):
    return (float(5)/9*(t - 32))
def to_fahrenheit(values):
	return map(fahrenheit, values)
def to_celsius(values):
	return map(celsius, values)
    

#### 2. Return maximum value from list using reduce
def max(values):
	return reduce(lambda a,b: a if (a>b) else b, values)

#### 3. Return minimum value from list using reduce
def min(values):
	return reduce(lambda a,b: a if (a<b) else b, values)
    
print "Minimum of numbers in list = ", min([47, 11, 42, 13])

#### 4. Return sum of values in list using reduce
def add(values):
	return reduce(lambda a,b: a+b, values)
    
def addd(a,b):
    return a + b
    
x = reduce(addd,([47, 11, 42, 12]))
print "formulaa", x
#### 5. Return value obtained by subtracting consecutive values in list from value of first item - using reduce
def sub(values):
	return reduce(lambda a,b: a-b, values)
    


#### 6. Return product of values in a list - using reduce
def mul(values):
	return reduce(lambda a,b: a*b, values)

#### 7. Return average of values in a list - using reduce
def ave(values):
	return reduce(lambda a,b: (a+b)/2, values)

#### 8. Return value obtained by dividing consecutive values in list from value of first item - using reduce
def div(values):
	return reduce(lambda a,b: a/float(b) if (b != 0 and a != 'Nan') else 'Nan', values)

#### 9. Return even values from list - using filter
def is_even(values):
	return filter(lambda x: x % 2 == 0, values)

#### 10. Return odd values from list - using filter
def is_odd(values):
	return filter(lambda x: x % 2 , values)

#### 11. Get pythagorean triplets from given range using list generator which generates iterator
def get_triplets(n):
	for x in range(1, n):
		for y in range(x,n):
			for z in range(y,n):
				if x**2 + y**2 == z**2:
					yield (x,y,z)

#### 12. prepare fibonacci list from given range using list generator which generates iterator	
def fibonacci(n):
    """Fibonacci numbers generator, first n"""
    a, b, counter = 0, 1, 0
    while True:
        if (counter > n): return
        yield a
        a, b = b, a + b
        counter += 1
        
        
#### 13. prepare cartesion join of colours and things using list comprehension	
print "Cartesian join of 'colours' and 'things'"
colours = [ "red", "green", "yellow", "blue" ]
things = [ "house", "car", "tree" ]
coloured_things = [ (x,y) for x in colours for y in things ]
print coloured_things	


######################### - inputs - test - ##################

print "Conversion to Farenheit for items in list is ", to_fahrenheit([0, 37, 40, 100])
values = to_fahrenheit([0, 37, 40, 100])
print "Conversion to Celsius for items in list is ", to_celsius(values)
print "Maximum of numbers in list = ", max([47, 11, 42, 13])	
print "Minimum of numbers in list = ", min([47, 11, 42, 13])	
print "sum of numbers in list = ", add([47, 11, 42, 13])	
print "result of subtracting consecutive numbers in list from initial value ", sub([47, 11, 42, 13])	
print "Product of items in list = ", mul([3, 5, 2, 4])
print "Show even numbers in list ", is_even([47, 12, 42, 13])	
print "average of items in list = ", ave([3, 5, 2, 6])	
print "Result of dividing by consecutive numbers in list ",  div([100, 2, 2, 5])
print "Show even numbers in list ", is_even([47, 12, 42, 13])	
print "Show odd numbers in list ", is_odd([47, 12, 42, 13])
print "see pythagorean triplets below"					
triplets = get_triplets(30)
for triplet in triplets:
	print triplet,			# the , here instructs python to print one after the other and not on a new line each
print "\n"		
f = fibonacci(5) 		#prints the first 5 fibonacci numbers i.e. each number is the sum of the previous 2 numbers
print "see fibonacci range below"
for x in f:
    print x,
print