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Diffstat (limited to 'julia.html.markdown')
| -rw-r--r-- | julia.html.markdown | 590 | 
1 files changed, 294 insertions, 296 deletions
| diff --git a/julia.html.markdown b/julia.html.markdown index a30871eb..891a0a00 100644 --- a/julia.html.markdown +++ b/julia.html.markdown @@ -2,17 +2,17 @@  language: Julia  contributors:      - ["Leah Hanson", "http://leahhanson.us"] -    - ["Pranit Bauva", "http://github.com/pranitbauva1997"] -    - ["Daniel YC Lin", "http://github.com/dlintw"] +    - ["Pranit Bauva", "https://github.com/pranitbauva1997"] +    - ["Daniel YC Lin", "https://github.com/dlintw"]  filename: learnjulia.jl  ---  Julia is a new homoiconic functional language focused on technical computing.  While having the full power of homoiconic macros, first-class functions, and low-level control, Julia is as easy to learn and use as Python. -This is based on Julia 0.6.4 +This is based on Julia 1.0.0 -```ruby +```julia  # Single line comments start with a hash (pound) symbol.  #= Multiline comments can be written @@ -27,38 +27,38 @@ This is based on Julia 0.6.4  # Everything in Julia is an expression.  # There are several basic types of numbers. -3 # => 3 (Int64) -3.2 # => 3.2 (Float64) -2 + 1im # => 2 + 1im (Complex{Int64}) -2//3 # => 2//3 (Rational{Int64}) +3  # => 3 (Int64) +3.2  # => 3.2 (Float64) +2 + 1im  # => 2 + 1im (Complex{Int64}) +2 // 3  # => 2 // 3 (Rational{Int64})  # All of the normal infix operators are available. -1 + 1 # => 2 -8 - 1 # => 7 -10 * 2 # => 20 -35 / 5 # => 7.0 -5 / 2 # => 2.5 # dividing an Int by an Int always results in a Float -div(5, 2) # => 2 # for a truncated result, use div -5 \ 35 # => 7.0 -2 ^ 2 # => 4 # power, not bitwise xor -12 % 10 # => 2 +1 + 1      # => 2 +8 - 1      # => 7 +10 * 2     # => 20 +35 / 5     # => 7.0 +5 / 2      # => 2.5  # dividing integers always results in a Float64 +div(5, 2)  # => 2    # for a truncated result, use div +5 \ 35     # => 7.0 +2^2        # => 4    # power, not bitwise xor +12 % 10    # => 2  # Enforce precedence with parentheses -(1 + 3) * 2 # => 8 +(1 + 3) * 2  # => 8  # Bitwise Operators -~2 # => -3   # bitwise not -3 & 5 # => 1 # bitwise and -2 | 4 # => 6 # bitwise or -xor(2, 4) # => 6 # bitwise xor -2 >>> 1 # => 1 # logical shift right -2 >> 1  # => 1 # arithmetic shift right -2 << 1  # => 4 # logical/arithmetic shift left - -# You can use the bits function to see the binary representation of a number. -bits(12345) +~2         # => -3 # bitwise not +3 & 5      # => 1  # bitwise and +2 | 4      # => 6  # bitwise or +xor(2, 4)  # => 6  # bitwise xor +2 >>> 1    # => 1  # logical shift right +2 >> 1     # => 1  # arithmetic shift right +2 << 1     # => 4  # logical/arithmetic shift left + +# Use the bitstring function to see the binary representation of a number. +bitstring(12345)  # => "0000000000000000000000000000000000000000000000000011000000111001" -bits(12345.0) +bitstring(12345.0)  # => "0100000011001000000111001000000000000000000000000000000000000000"  # Boolean values are primitives @@ -66,48 +66,38 @@ true  false  # Boolean operators -!true # => false -!false # => true -1 == 1 # => true -2 == 1 # => false -1 != 1 # => false -2 != 1 # => true -1 < 10 # => true -1 > 10 # => false -2 <= 2 # => true -2 >= 2 # => true +!true   # => false +!false  # => true +1 == 1  # => true +2 == 1  # => false +1 != 1  # => false +2 != 1  # => true +1 < 10  # => true +1 > 10  # => false +2 <= 2  # => true +2 >= 2  # => true  # Comparisons can be chained -1 < 2 < 3 # => true -2 < 3 < 2 # => false +1 < 2 < 3  # => true +2 < 3 < 2  # => false  # Strings are created with " -try  "This is a string." -catch ; end - -# Julia has several types of strings, including ASCIIString and UTF8String. -# More on this in the Types section.  # Character literals are written with ' -try  'a' -catch ; end -# Some strings can be indexed like an array of characters -try -"This is a string"[1] # => 'T' # Julia indexes from 1 -catch ; end -# However, this is will not work well for UTF8 strings, -# so iterating over strings is recommended (map, for loops, etc). +# Strings are UTF8 encoded. Only if they contain only ASCII characters can +# they be safely indexed. +ascii("This is a string")[1]  # => 'T' # Julia indexes from 1 +# Otherwise, iterating over strings is recommended (map, for loops, etc).  # $ can be used for string interpolation: -try  "2 + 2 = $(2 + 2)" # => "2 + 2 = 4" -catch ; end  # You can put any Julia expression inside the parentheses. -# Another way to format strings is the printf macro. -@printf "%d is less than %f" 4.5 5.3 # 4 is less than 5.300000 +# Another way to format strings is the printf macro from the stdlib Printf. +using Printf +@printf "%d is less than %f\n" 4.5 5.3  # => 5 is less than 5.300000  # Printing is easy  println("I'm Julia. Nice to meet you!") @@ -115,29 +105,29 @@ println("I'm Julia. Nice to meet you!")  # String can be compared lexicographically  "good" > "bye" # => true  "good" == "good" # => true -"1 + 2 = 3" == "1 + 2 = $(1+2)" # => true +"1 + 2 = 3" == "1 + 2 = $(1 + 2)" # => true  ####################################################  ## 2. Variables and Collections  ####################################################  # You don't declare variables before assigning to them. -some_var = 5 # => 5 -some_var # => 5 +some_var = 5  # => 5 +some_var  # => 5  # Accessing a previously unassigned variable is an error  try -    some_other_var # => ERROR: some_other_var not defined +    some_other_var  # => ERROR: UndefVarError: some_other_var not defined  catch e      println(e)  end  # Variable names start with a letter or underscore.  # After that, you can use letters, digits, underscores, and exclamation points. -SomeOtherVar123! = 6 # => 6 +SomeOtherVar123! = 6  # => 6  # You can also use certain unicode characters -☃ = 8 # => 8 +☃ = 8  # => 8  # These are especially handy for mathematical notation  2 * π # => 6.283185307179586 @@ -156,165 +146,168 @@ SomeOtherVar123! = 6 # => 6  #   functions are sometimes called mutating functions or in-place functions.  # Arrays store a sequence of values indexed by integers 1 through n: -a = Int64[] # => 0-element Int64 Array +a = Int64[]  # => 0-element Int64 Array  # 1-dimensional array literals can be written with comma-separated values. -b = [4, 5, 6] # => 3-element Int64 Array: [4, 5, 6] -b = [4; 5; 6] # => 3-element Int64 Array: [4, 5, 6] -b[1] # => 4 -b[end] # => 6 +b = [4, 5, 6]  # => 3-element Int64 Array: [4, 5, 6] +b = [4; 5; 6]  # => 3-element Int64 Array: [4, 5, 6] +b[1]  # => 4 +b[end]  # => 6  # 2-dimensional arrays use space-separated values and semicolon-separated rows. -matrix = [1 2; 3 4] # => 2x2 Int64 Array: [1 2; 3 4] +matrix = [1 2; 3 4]  # => 2x2 Int64 Array: [1 2; 3 4] -# Arrays of a particular Type -b = Int8[4, 5, 6] # => 3-element Int8 Array: [4, 5, 6] +# Arrays of a particular type +b = Int8[4, 5, 6]  # => 3-element Int8 Array: [4, 5, 6]  # Add stuff to the end of a list with push! and append! -push!(a,1)     # => [1] -push!(a,2)     # => [1,2] -push!(a,4)     # => [1,2,4] -push!(a,3)     # => [1,2,4,3] -append!(a,b) # => [1,2,4,3,4,5,6] +push!(a, 1)    # => [1] +push!(a, 2)    # => [1,2] +push!(a, 4)    # => [1,2,4] +push!(a, 3)    # => [1,2,4,3] +append!(a, b)  # => [1,2,4,3,4,5,6]  # Remove from the end with pop -pop!(b)        # => 6 and b is now [4,5] +pop!(b)  # => 6 and b is now [4,5]  # Let's put it back -push!(b,6)   # b is now [4,5,6] again. +push!(b, 6)  # b is now [4,5,6] again. -a[1] # => 1 # remember that Julia indexes from 1, not 0! +a[1]  # => 1  # remember that Julia indexes from 1, not 0!  # end is a shorthand for the last index. It can be used in any  # indexing expression -a[end] # => 6 +a[end]  # => 6 -# we also have shift and unshift -shift!(a) # => 1 and a is now [2,4,3,4,5,6] -unshift!(a,7) # => [7,2,4,3,4,5,6] +# we also have popfirst! and pushfirst! +popfirst!(a)  # => 1 and a is now [2,4,3,4,5,6] +pushfirst!(a, 7)  # => [7,2,4,3,4,5,6]  # Function names that end in exclamations points indicate that they modify  # their argument. -arr = [5,4,6] # => 3-element Int64 Array: [5,4,6] -sort(arr) # => [4,5,6]; arr is still [5,4,6] -sort!(arr) # => [4,5,6]; arr is now [4,5,6] +arr = [5,4,6]  # => 3-element Int64 Array: [5,4,6] +sort(arr)  # => [4,5,6]; arr is still [5,4,6] +sort!(arr)  # => [4,5,6]; arr is now [4,5,6]  # Looking out of bounds is a BoundsError  try -    a[0] # => ERROR: BoundsError() in getindex at array.jl:270 -    a[end+1] # => ERROR: BoundsError() in getindex at array.jl:270 +    a[0] +    # => BoundsError: attempt to access 7-element Array{Int64,1} at index [0] +    a[end + 1] +    # => BoundsError: attempt to access 7-element Array{Int64,1} at index [8]  catch e      println(e)  end  # Errors list the line and file they came from, even if it's in the standard -# library. If you built Julia from source, you can look in the folder base -# inside the julia folder to find these files. +# library. You can look in the folder share/julia inside the julia folder to +# find these files.  # You can initialize arrays from ranges -a = [1:5;] # => 5-element Int64 Array: [1,2,3,4,5] +a = [1:5;]  # => 5-element Int64 Array: [1,2,3,4,5]  # You can look at ranges with slice syntax. -a[1:3] # => [1, 2, 3] -a[2:end] # => [2, 3, 4, 5] +a[1:3]  # => [1, 2, 3] +a[2:end]  # => [2, 3, 4, 5]  # Remove elements from an array by index with splice!  arr = [3,4,5] -splice!(arr,2) # => 4 ; arr is now [3,5] +splice!(arr, 2)  # => 4 ; arr is now [3,5]  # Concatenate lists with append!  b = [1,2,3] -append!(a,b) # Now a is [1, 2, 3, 4, 5, 1, 2, 3] +append!(a, b)  # Now a is [1, 2, 3, 4, 5, 1, 2, 3]  # Check for existence in a list with in -in(1, a) # => true +in(1, a)  # => true  # Examine the length with length -length(a) # => 8 +length(a)  # => 8  # Tuples are immutable. -tup = (1, 2, 3) # => (1,2,3) # an (Int64,Int64,Int64) tuple. -tup[1] # => 1 -try: -    tup[1] = 3 # => ERROR: no method setindex!((Int64,Int64,Int64),Int64,Int64) +tup = (1, 2, 3)  # => (1,2,3)  # an (Int64,Int64,Int64) tuple. +tup[1]  # => 1 +try +    tup[1] = 3  # => ERROR: no method setindex!((Int64,Int64,Int64),Int64,Int64)  catch e      println(e)  end -# Many list functions also work on tuples -length(tup) # => 3 -tup[1:2] # => (1,2) -in(2, tup) # => true +# Many array functions also work on tuples +length(tup)  # => 3 +tup[1:2]  # => (1,2) +in(2, tup)  # => true  # You can unpack tuples into variables -a, b, c = (1, 2, 3) # => (1,2,3)  # a is now 1, b is now 2 and c is now 3 +a, b, c = (1, 2, 3)  # => (1,2,3)  # a is now 1, b is now 2 and c is now 3  # Tuples are created even if you leave out the parentheses -d, e, f = 4, 5, 6 # => (4,5,6) +d, e, f = 4, 5, 6  # => (4,5,6)  # A 1-element tuple is distinct from the value it contains -(1,) == 1 # => false -(1) == 1 # => true +(1,) == 1  # => false +(1) == 1  # => true  # Look how easy it is to swap two values -e, d = d, e  # => (5,4) # d is now 5 and e is now 4 +e, d = d, e  # => (5,4)  # d is now 5 and e is now 4  # Dictionaries store mappings -empty_dict = Dict() # => Dict{Any,Any}() +empty_dict = Dict()  # => Dict{Any,Any}()  # You can create a dictionary using a literal -filled_dict = Dict("one"=> 1, "two"=> 2, "three"=> 3) -# => Dict{ASCIIString,Int64} +filled_dict = Dict("one" => 1, "two" => 2, "three" => 3) +# => Dict{String,Int64}  # Look up values with [] -filled_dict["one"] # => 1 +filled_dict["one"]  # => 1  # Get all keys  keys(filled_dict) -# => KeyIterator{Dict{ASCIIString,Int64}}(["three"=>3,"one"=>1,"two"=>2]) +# => Base.KeySet for a Dict{String,Int64} with 3 entries. Keys: +# "two", "one", "three"  # Note - dictionary keys are not sorted or in the order you inserted them.  # Get all values  values(filled_dict) -# => ValueIterator{Dict{ASCIIString,Int64}}(["three"=>3,"one"=>1,"two"=>2]) +# => Base.ValueIterator{Dict{String,Int64}} with 3 entries. Values: 2, 1, 3  # Note - Same as above regarding key ordering.  # Check for existence of keys in a dictionary with in, haskey -in(("one" => 1), filled_dict) # => true -in(("two" => 3), filled_dict) # => false -haskey(filled_dict, "one") # => true -haskey(filled_dict, 1) # => false +in(("one" => 1), filled_dict)  # => true +in(("two" => 3), filled_dict)  # => false +haskey(filled_dict, "one")     # => true +haskey(filled_dict, 1)         # => false  # Trying to look up a non-existent key will raise an error  try -    filled_dict["four"] # => ERROR: key not found: four in getindex at dict.jl:489 +    filled_dict["four"]  # => KeyError: key "four" not found  catch e      println(e)  end  # Use the get method to avoid that error by providing a default value -# get(dictionary,key,default_value) -get(filled_dict,"one",4) # => 1 -get(filled_dict,"four",4) # => 4 +# get(dictionary, key, default_value) +get(filled_dict, "one", 4)   # => 1 +get(filled_dict, "four", 4)  # => 4  # Use Sets to represent collections of unordered, unique values -empty_set = Set() # => Set{Any}() +empty_set = Set()  # => Set{Any}()  # Initialize a set with values -filled_set = Set([1,2,2,3,4]) # => Set{Int64}(1,2,3,4) +filled_set = Set([1, 2, 2, 3, 4])  # => Set([4, 2, 3, 1])  # Add more values to a set -push!(filled_set,5) # => Set{Int64}(5,4,2,3,1) +push!(filled_set, 5)  # => Set([4, 2, 3, 5, 1])  # Check if the values are in the set -in(2, filled_set) # => true -in(10, filled_set) # => false +in(2, filled_set)  # => true +in(10, filled_set)  # => false  # There are functions for set intersection, union, and difference. -other_set = Set([3, 4, 5, 6]) # => Set{Int64}(6,4,5,3) -intersect(filled_set, other_set) # => Set{Int64}(3,4,5) -union(filled_set, other_set) # => Set{Int64}(1,2,3,4,5,6) -setdiff(Set([1,2,3,4]),Set([2,3,5])) # => Set{Int64}(1,4) +other_set = Set([3, 4, 5, 6])          # => Set([4, 3, 5, 6]) +intersect(filled_set, other_set)       # => Set([4, 3, 5]) +union(filled_set, other_set)           # => Set([4, 2, 3, 5, 6, 1]) +setdiff(Set([1,2,3,4]), Set([2,3,5]))  # => Set([4, 1])  #################################################### @@ -337,7 +330,7 @@ end  # For loops iterate over iterables.  # Iterable types include Range, Array, Set, Dict, and AbstractString. -for animal=["dog", "cat", "mouse"] +for animal = ["dog", "cat", "mouse"]      println("$animal is a mammal")      # You can use $ to interpolate variables or expression into strings  end @@ -355,15 +348,16 @@ end  #    cat is a mammal  #    mouse is a mammal -for a in Dict("dog"=>"mammal","cat"=>"mammal","mouse"=>"mammal") -    println("$(a[1]) is a $(a[2])") +for pair in Dict("dog" => "mammal", "cat" => "mammal", "mouse" => "mammal") +    from, to = pair +    println("$from is a $to")  end  # prints:  #    dog is a mammal  #    cat is a mammal  #    mouse is a mammal -for (k,v) in Dict("dog"=>"mammal","cat"=>"mammal","mouse"=>"mammal") +for (k, v) in Dict("dog" => "mammal", "cat" => "mammal", "mouse" => "mammal")      println("$k is a $v")  end  # prints: @@ -372,10 +366,11 @@ end  #    mouse is a mammal  # While loops loop while a condition is true -x = 0 -while x < 4 -    println(x) -    x += 1  # Shorthand for x = x + 1 +let x = 0 +    while x < 4 +        println(x) +        x += 1  # Shorthand for x = x + 1 +    end  end  # prints:  #   0 @@ -385,9 +380,9 @@ end  # Handle exceptions with a try/catch block  try -   error("help") +    error("help")  catch e -   println("caught it $e") +    println("caught it $e")  end  # => caught it ErrorException("help") @@ -407,15 +402,15 @@ function add(x, y)      x + y  end -add(5, 6) # => 11 after printing out "x is 5 and y is 6" +add(5, 6)  # => 11 after printing out "x is 5 and y is 6"  # Compact assignment of functions -f_add(x, y) = x + y # => "f (generic function with 1 method)" -f_add(3, 4) # => 7 +f_add(x, y) = x + y  # => "f (generic function with 1 method)" +f_add(3, 4)  # => 7  # Function can also return multiple values as tuple  fn(x, y) = x + y, x - y -fn(3, 4) # => (7, -1) +fn(3, 4)  # => (7, -1)  # You can define functions that take a variable number of  # positional arguments @@ -425,41 +420,41 @@ function varargs(args...)  end  # => varargs (generic function with 1 method) -varargs(1,2,3) # => (1,2,3) +varargs(1, 2, 3)  # => (1,2,3)  # The ... is called a splat.  # We just used it in a function definition.  # It can also be used in a function call,  # where it will splat an Array or Tuple's contents into the argument list. -add([5,6]...) # this is equivalent to add(5,6) +add([5,6]...)  # this is equivalent to add(5,6) -x = (5,6)     # => (5,6) -add(x...)     # this is equivalent to add(5,6) +x = (5, 6)  # => (5,6) +add(x...)  # this is equivalent to add(5,6)  # You can define functions with optional positional arguments -function defaults(a,b,x=5,y=6) +function defaults(a, b, x=5, y=6)      return "$a $b and $x $y"  end -defaults('h','g') # => "h g and 5 6" -defaults('h','g','j') # => "h g and j 6" -defaults('h','g','j','k') # => "h g and j k" +defaults('h', 'g')  # => "h g and 5 6" +defaults('h', 'g', 'j')  # => "h g and j 6" +defaults('h', 'g', 'j', 'k')  # => "h g and j k"  try -    defaults('h') # => ERROR: no method defaults(Char,) -    defaults() # => ERROR: no methods defaults() +    defaults('h')  # => ERROR: no method defaults(Char,) +    defaults()  # => ERROR: no methods defaults()  catch e      println(e)  end  # You can define functions that take keyword arguments -function keyword_args(;k1=4,name2="hello") # note the ; -    return Dict("k1"=>k1,"name2"=>name2) +function keyword_args(;k1=4, name2="hello")  # note the ; +    return Dict("k1" => k1, "name2" => name2)  end -keyword_args(name2="ness") # => ["name2"=>"ness","k1"=>4] -keyword_args(k1="mine") # => ["k1"=>"mine","name2"=>"hello"] -keyword_args() # => ["name2"=>"hello","k1"=>4] +keyword_args(name2="ness")  # => ["name2"=>"ness","k1"=>4] +keyword_args(k1="mine")  # => ["k1"=>"mine","name2"=>"hello"] +keyword_args()  # => ["name2"=>"hello","k1"=>4]  # You can combine all kinds of arguments in the same function  function all_the_args(normal_arg, optional_positional_arg=2; keyword_arg="foo") @@ -483,7 +478,7 @@ function create_adder(x)  end  # This is "stabby lambda syntax" for creating anonymous functions -(x -> x > 2)(3) # => true +(x -> x > 2)(3)  # => true  # This function is identical to create_adder implementation above.  function create_adder(x) @@ -499,16 +494,17 @@ function create_adder(x)  end  add_10 = create_adder(10) -add_10(3) # => 13 +add_10(3)  # => 13  # There are built-in higher order functions -map(add_10, [1,2,3]) # => [11, 12, 13] -filter(x -> x > 5, [3, 4, 5, 6, 7]) # => [6, 7] +map(add_10, [1,2,3])  # => [11, 12, 13] +filter(x -> x > 5, [3, 4, 5, 6, 7])  # => [6, 7] -# We can use list comprehensions for nicer maps -[add_10(i) for i=[1, 2, 3]] # => [11, 12, 13] +# We can use list comprehensions +[add_10(i) for i = [1, 2, 3]] # => [11, 12, 13]  [add_10(i) for i in [1, 2, 3]] # => [11, 12, 13] +[x for x in [3, 4, 5, 6, 7] if x > 5] # => [6, 7]  ####################################################  ## 5. Types @@ -517,11 +513,11 @@ filter(x -> x > 5, [3, 4, 5, 6, 7]) # => [6, 7]  # Julia has a type system.  # Every value has a type; variables do not have types themselves.  # You can use the `typeof` function to get the type of a value. -typeof(5) # => Int64 +typeof(5)  # => Int64  # Types are first-class values -typeof(Int64) # => DataType -typeof(DataType) # => DataType +typeof(Int64)  # => DataType +typeof(DataType)  # => DataType  # DataType is the type that represents types, including itself.  # Types are used for documentation, optimizations, and dispatch. @@ -529,78 +525,77 @@ typeof(DataType) # => DataType  # Users can define types  # They are like records or structs in other languages. -# New types are defined using the `type` keyword. +# New types are defined using the `struct` keyword. -# type Name +# struct Name  #   field::OptionalType  #   ...  # end -type Tiger -  taillength::Float64 -  coatcolor # not including a type annotation is the same as `::Any` +struct Tiger +    taillength::Float64 +    coatcolor  # not including a type annotation is the same as `::Any`  end  # The default constructor's arguments are the properties  # of the type, in the order they are listed in the definition -tigger = Tiger(3.5,"orange") # => Tiger(3.5,"orange") +tigger = Tiger(3.5, "orange")  # => Tiger(3.5,"orange")  # The type doubles as the constructor function for values of that type -sherekhan = typeof(tigger)(5.6,"fire") # => Tiger(5.6,"fire") +sherekhan = typeof(tigger)(5.6, "fire")  # => Tiger(5.6,"fire")  # These struct-style types are called concrete types  # They can be instantiated, but cannot have subtypes.  # The other kind of types is abstract types.  # abstract Name -abstract type Cat end # just a name and point in the type hierarchy +abstract type Cat end  # just a name and point in the type hierarchy  # Abstract types cannot be instantiated, but can have subtypes. +using InteractiveUtils  # defines the subtype and supertype function  # For example, Number is an abstract type -subtypes(Number) # => 2-element Array{Any,1}: +subtypes(Number)  # => 2-element Array{Any,1}:                   #     Complex{T<:Real}                   #     Real -subtypes(Cat) # => 0-element Array{Any,1} +subtypes(Cat)  # => 0-element Array{Any,1}  # AbstractString, as the name implies, is also an abstract type -subtypes(AbstractString)        # 6-element Array{Union{DataType, UnionAll},1}: -				# Base.SubstitutionString -				# Base.Test.GenericString -				# DirectIndexString       -				# RevString               -				# String                  -				# SubString +subtypes(AbstractString)  # 4-element Array{Any,1}: +                            #  String +                            #  SubString +                            #  SubstitutionString +                            #  Test.GenericString  # Every type has a super type; use the `supertype` function to get it. -typeof(5) # => Int64 -supertype(Int64) # => Signed -supertype(Signed) # => Integer -supertype(Integer) # => Real -supertype(Real) # => Number -supertype(Number) # => Any -supertype(supertype(Signed)) # => Real -supertype(Any) # => Any +typeof(5)  # => Int64 +supertype(Int64)  # => Signed +supertype(Signed)  # => Integer +supertype(Integer)  # => Real +supertype(Real)  # => Number +supertype(Number)  # => Any +supertype(supertype(Signed))  # => Real +supertype(Any)  # => Any  # All of these type, except for Int64, are abstract. -typeof("fire") # => String -supertype(String) # => AbstractString +typeof("fire")  # => String +supertype(String)  # => AbstractString  # Likewise here with String -supertype(DirectIndexString) # => AbstractString +supertype(SubString)  # => AbstractString  # <: is the subtyping operator -type Lion <: Cat # Lion is a subtype of Cat -  mane_color -  roar::AbstractString +struct Lion <: Cat  # Lion is a subtype of Cat +    mane_color +    roar::AbstractString  end  # You can define more constructors for your type  # Just define a function of the same name as the type  # and call an existing constructor to get a value of the correct type -Lion(roar::AbstractString) = Lion("green",roar) +Lion(roar::AbstractString) = Lion("green", roar)  # This is an outer constructor because it's outside the type definition -type Panther <: Cat # Panther is also a subtype of Cat -  eye_color -  Panther() = new("green") -  # Panthers will only have this constructor, and no default constructor. +struct Panther <: Cat  # Panther is also a subtype of Cat +    eye_color +    Panther() = new("green") +    # Panthers will only have this constructor, and no default constructor.  end  # Using inner constructors, like Panther does, gives you control  # over how values of the type can be created. @@ -618,35 +613,35 @@ end  # Definitions for Lion, Panther, Tiger  function meow(animal::Lion) -  animal.roar # access type properties using dot notation +    animal.roar  # access type properties using dot notation  end  function meow(animal::Panther) -  "grrr" +    "grrr"  end  function meow(animal::Tiger) -  "rawwwr" +    "rawwwr"  end  # Testing the meow function -meow(tigger) # => "rawwr" -meow(Lion("brown","ROAAR")) # => "ROAAR" -meow(Panther()) # => "grrr" +meow(tigger)  # => "rawwr" +meow(Lion("brown", "ROAAR"))  # => "ROAAR" +meow(Panther())  # => "grrr"  # Review the local type hierarchy -issubtype(Tiger,Cat) # => false -issubtype(Lion,Cat) # => true -issubtype(Panther,Cat) # => true +Tiger <: Cat # => false +Lion <: Cat # => true +Panther <: Cat # => true  # Defining a function that takes Cats  function pet_cat(cat::Cat) -  println("The cat says $(meow(cat))") +    println("The cat says $(meow(cat))")  end -pet_cat(Lion("42")) # => prints "The cat says 42" +pet_cat(Lion("42"))  # => prints "The cat says 42"  try -    pet_cat(tigger) # => ERROR: no method pet_cat(Tiger,) +    pet_cat(tigger)  # => ERROR: no method pet_cat(Tiger,)  catch e      println(e)  end @@ -656,129 +651,132 @@ end  # In Julia, all of the argument types contribute to selecting the best method.  # Let's define a function with more arguments, so we can see the difference -function fight(t::Tiger,c::Cat) -  println("The $(t.coatcolor) tiger wins!") +function fight(t::Tiger, c::Cat) +    println("The $(t.coatcolor) tiger wins!")  end  # => fight (generic function with 1 method) -fight(tigger,Panther()) # => prints The orange tiger wins! -fight(tigger,Lion("ROAR")) # => prints The orange tiger wins! +fight(tigger, Panther())  # => prints The orange tiger wins! +fight(tigger, Lion("ROAR"))  # => prints The orange tiger wins!  # Let's change the behavior when the Cat is specifically a Lion -fight(t::Tiger,l::Lion) = println("The $(l.mane_color)-maned lion wins!") +fight(t::Tiger, l::Lion) = println("The $(l.mane_color)-maned lion wins!")  # => fight (generic function with 2 methods) -fight(tigger,Panther()) # => prints The orange tiger wins! -fight(tigger,Lion("ROAR")) # => prints The green-maned lion wins! +fight(tigger, Panther())  # => prints The orange tiger wins! +fight(tigger, Lion("ROAR"))  # => prints The green-maned lion wins!  # We don't need a Tiger in order to fight -fight(l::Lion,c::Cat) = println("The victorious cat says $(meow(c))") +fight(l::Lion, c::Cat) = println("The victorious cat says $(meow(c))")  # => fight (generic function with 3 methods) -fight(Lion("balooga!"),Panther()) # => prints The victorious cat says grrr +fight(Lion("balooga!"), Panther())  # => prints The victorious cat says grrr  try -  fight(Panther(),Lion("RAWR")) +    fight(Panther(), Lion("RAWR"))  catch e -  println(e)  -  # => MethodError(fight, (Panther("green"), Lion("green", "RAWR")), 0x000000000000557b) +    println(e) +    # => MethodError(fight, (Panther("green"), Lion("green", "RAWR")), +    #                0x000000000000557b)  end  # Also let the cat go first -fight(c::Cat,l::Lion) = println("The cat beats the Lion") +fight(c::Cat, l::Lion) = println("The cat beats the Lion")  # This warning is because it's unclear which fight will be called in:  try -  fight(Lion("RAR"),Lion("brown","rarrr")) # => prints The victorious cat says rarrr +    fight(Lion("RAR"), Lion("brown", "rarrr")) +    # => prints The victorious cat says rarrr  catch e -  println(e) -  # => MethodError(fight, (Lion("green", "RAR"), Lion("brown", "rarrr")), 0x000000000000557c) +    println(e) +  # => MethodError(fight, (Lion("green", "RAR"), Lion("brown", "rarrr")), +  #                0x000000000000557c)  end  # The result may be different in other versions of Julia -fight(l::Lion,l2::Lion) = println("The lions come to a tie") -fight(Lion("RAR"),Lion("brown","rarrr")) # => prints The lions come to a tie +fight(l::Lion, l2::Lion) = println("The lions come to a tie") +fight(Lion("RAR"), Lion("brown", "rarrr"))  # => prints The lions come to a tie  # Under the hood  # You can take a look at the llvm  and the assembly code generated. -square_area(l) = l * l      # square_area (generic function with 1 method) +square_area(l) = l * l  # square_area (generic function with 1 method) -square_area(5) #25 +square_area(5)  # => 25  # What happens when we feed square_area an integer?  code_native(square_area, (Int32,)) -	#	    .section    __TEXT,__text,regular,pure_instructions -	#	Filename: none -	#	Source line: 1              # Prologue -	#	    push    RBP -	#	    mov RBP, RSP -	#	Source line: 1 -	#	    movsxd  RAX, EDI        # Fetch l from memory? -	#	    imul    RAX, RAX        # Square l and store the result in RAX -	#	    pop RBP                 # Restore old base pointer -	#	    ret                     # Result will still be in RAX +    #        .section    __TEXT,__text,regular,pure_instructions +    #    Filename: none +    #    Source line: 1              # Prologue +    #        push    RBP +    #        mov RBP, RSP +    #    Source line: 1 +    #        movsxd  RAX, EDI        # Fetch l from memory? +    #        imul    RAX, RAX        # Square l and store the result in RAX +    #        pop RBP                 # Restore old base pointer +    #        ret                     # Result will still be in RAX  code_native(square_area, (Float32,)) -	#	    .section    __TEXT,__text,regular,pure_instructions -	#	Filename: none -	#	Source line: 1 -	#	    push    RBP -	#	    mov RBP, RSP -	#	Source line: 1 -	#	    vmulss  XMM0, XMM0, XMM0  # Scalar single precision multiply (AVX) -	#	    pop RBP -	#	    ret +    #        .section    __TEXT,__text,regular,pure_instructions +    #    Filename: none +    #    Source line: 1 +    #        push    RBP +    #        mov RBP, RSP +    #    Source line: 1 +    #        vmulss  XMM0, XMM0, XMM0  # Scalar single precision multiply (AVX) +    #        pop RBP +    #        ret  code_native(square_area, (Float64,)) -	#	    .section    __TEXT,__text,regular,pure_instructions -	#	Filename: none -	#	Source line: 1 -	#	    push    RBP -	#	    mov RBP, RSP -	#	Source line: 1 -	#	    vmulsd  XMM0, XMM0, XMM0 # Scalar double precision multiply (AVX) -	#	    pop RBP -	#	    ret -	# +    #        .section    __TEXT,__text,regular,pure_instructions +    #    Filename: none +    #    Source line: 1 +    #        push    RBP +    #        mov RBP, RSP +    #    Source line: 1 +    #        vmulsd  XMM0, XMM0, XMM0  # Scalar double precision multiply (AVX) +    #        pop RBP +    #        ret +    #  # Note that julia will use floating point instructions if any of the  # arguments are floats.  # Let's calculate the area of a circle  circle_area(r) = pi * r * r     # circle_area (generic function with 1 method) -circle_area(5)                  # 78.53981633974483 +circle_area(5)  # 78.53981633974483  code_native(circle_area, (Int32,)) -	#	    .section    __TEXT,__text,regular,pure_instructions -	#	Filename: none -	#	Source line: 1 -	#	    push    RBP -	#	    mov RBP, RSP -	#	Source line: 1 -	#	    vcvtsi2sd   XMM0, XMM0, EDI          # Load integer (r) from memory -	#	    movabs  RAX, 4593140240              # Load pi -	#	    vmulsd  XMM1, XMM0, QWORD PTR [RAX]  # pi * r -	#	    vmulsd  XMM0, XMM0, XMM1             # (pi * r) * r -	#	    pop RBP -	#	    ret -	# +    #        .section    __TEXT,__text,regular,pure_instructions +    #    Filename: none +    #    Source line: 1 +    #        push    RBP +    #        mov RBP, RSP +    #    Source line: 1 +    #        vcvtsi2sd   XMM0, XMM0, EDI          # Load integer (r) from memory +    #        movabs  RAX, 4593140240              # Load pi +    #        vmulsd  XMM1, XMM0, QWORD PTR [RAX]  # pi * r +    #        vmulsd  XMM0, XMM0, XMM1             # (pi * r) * r +    #        pop RBP +    #        ret +    #  code_native(circle_area, (Float64,)) -	#	    .section    __TEXT,__text,regular,pure_instructions -	#	Filename: none -	#	Source line: 1 -	#	    push    RBP -	#	    mov RBP, RSP -	#	    movabs  RAX, 4593140496 -	#	Source line: 1 -	#	    vmulsd  XMM1, XMM0, QWORD PTR [RAX] -	#	    vmulsd  XMM0, XMM1, XMM0 -	#	    pop RBP -	#	    ret -	# +    #        .section    __TEXT,__text,regular,pure_instructions +    #    Filename: none +    #    Source line: 1 +    #        push    RBP +    #        mov RBP, RSP +    #        movabs  RAX, 4593140496 +    #    Source line: 1 +    #        vmulsd  XMM1, XMM0, QWORD PTR [RAX] +    #        vmulsd  XMM0, XMM1, XMM0 +    #        pop RBP +    #        ret +    #  ```  ## Further Reading -You can get a lot more detail from [The Julia Manual](http://docs.julialang.org/en/latest/#Manual-1) +You can get a lot more detail from the [Julia Documentation](https://docs.julialang.org/)  The best place to get help with Julia is the (very friendly) [Discourse forum](https://discourse.julialang.org/). | 
