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Let’s create a programming language! [RUG::B edition]

Let’s create a programming language! [RUG::B edition]

Denis Defreyne

June 02, 2016
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  1. Let’s create a
    programming

    language!
    DENIS DEFREYNE RUG
    :
    :B JUNE 2, 2016

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  2. 2
    dynamic vs. static

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  3. 3
    dynamic vs. static

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  4. 4
    compiler
    interpreter vs.

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  5. 5
    compiler
    interpreter vs.

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  6. but why?
    6

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  7. incremental
    7

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  8. Language 1
    8
    Numbers

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  9. %
    9
    cat stuff.cke
    4173
    5
    27
    2016

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  10. %
    10
    cat stuff.cke | ./clarke
    4173
    5
    27
    2016

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  11. 11
    module Grammar
    extend DParse::DSL
    DIGIT = char_in('0'..'9')
    PROGRAM = DIGIT
    end

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  12. 12
    res = Grammar::PROGRAM.apply($stdin.read)

    case res
    when DParse::Success
    handle_success(res)
    when DParse::Failure
    handle_failure(res)
    end

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  13. 13
    def handle_success(success)
    p success.data
    end

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  14. 14
    DIGIT = char_in('0'..'9')







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  15. 15
    DIGIT = …
    NUMBER = repeat1(DIGIT)




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  16. 16
    DIGIT = …
    NUMBER = repeat1(DIGIT)
    .capture




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  17. 17
    DIGIT = …
    NUMBER = repeat1(DIGIT)
    .capture
    .map { |d| d.to_i }




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  18. 18
    DIGIT = …
    NUMBER = …
    EXPRESSION = NUMBER





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  19. 19
    DIGIT = …
    NUMBER = …
    EXPRESSION = …
    EXPRESSIONS =
    intersperse(
    EXPRESSION,
    char("\n").ignore,
    ).compact

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  20. 20
    DIGIT = …
    NUMBER = …

    EXPRESSION = …
    EXPRESSIONS = …
    PROGRAM =
    seq(EXPRESSIONS, eof)
    .first


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  21. %
    21
    cat stuff.cke
    4173
    5
    27
    2016

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  22. %
    22
    cat stuff.cke | ./clarke
    [4173, 5, 27, 2016]

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  23. 23
    def handle_success(success)
    p success.data
    end

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  24. 24
    def handle_success(success)
    success.data.each do |expr|
    p eval_expr(expr)
    end
    end

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  25. 25
    def eval_expr(expr)
    expr
    end

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  26. %
    26
    cat stuff.cke | ./clarke
    4173
    5
    27
    2016

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  27. %
    27
    echo "aa" | ./clarke
    expected digit at line 1, column 1
    aa

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  28. Language 2
    28
    Functions

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  29. %
    29
    cat stuff.cke
    4173
    add(2, 5)

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  30. %
    30
    cat stuff.cke | ./clarke
    4173
    7

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  31. 31
    LETTER =
    char_in('a'..'z')
    FUNCTION_NAME =
    repeat1(LETTER).capture

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  32. 32
    FUNCTION_CALL =
    seq(
    FUNCTION_NAME,
    char('('),
    intersperse(
    lazy { EXPRESSION },
    char(','),
    ),
    char(')'),
    )

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  33. 33
    FUNCTION_CALL =
    seq(
    FUNCTION_NAME,
    char('('),
    intersperse(
    lazy { EXPRESSION },
    char(',').ignore,
    ).compact,
    char(')'),
    )

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  34. 34
    FUNCTION_CALL =
    seq(
    FUNCTION_NAME,
    char('(').ignore,
    intersperse(
    lazy { EXPRESSION },
    char(',').ignore,
    ).compact,
    char(')').ignore,
    ).compact

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  35. 35
    EXPRESSION =
    NUMBER

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  36. 36
    EXPRESSION =
    alt(NUMBER, FUNCTION_CALL)

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  37. %
    37
    cat stuff.cke
    4173
    add(2, 5)

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  38. %
    38
    cat stuff.cke | ./clarke
    4173
    ["add", [2, 5]]

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  39. 39
    def eval_expr(expr)
    expr
    end

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  40. 40
    def eval_expr(expr)
    case expr
    when Integer
    expr
    when Array
    eval_function_call(expr)
    end
    end

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  41. 41
    def eval_function_call(expr)
    case expr[0]
    when 'add'
    expr[1]
    .map { |e| eval_expr(e) }
    .reduce(:+)
    when 'mul'

    end
    end

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  42. %
    42
    cat stuff.cke
    4173
    add(2, 5)

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  43. %
    43
    cat stuff.cke | ./clarke
    4173
    7

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  44. Ugh, we forgot about whitespace.
    44

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  45. Cleanup 1
    45
    Abstract syntax

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  46. 46
    class IntNode < Struct.new(:value)
    end
    class FunCallNode < Struct.new(:name, :arguments)
    end

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  47. 47
    DIGIT = …
    NUMBER = repeat1(DIGIT)
    .capture
    .map { |d| d.to_i }




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  48. 48
    DIGIT = …
    NUMBER = repeat1(DIGIT)
    .capture
    .map { |d| IntNode.new(d.to_i) }




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  49. 49
    FUNCTION_CALL =
    seq(
    FUNCTION_NAME,
    char('(').ignore,
    intersperse(…),
    char(')').ignore,
    ).compact

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  50. 50
    FUNCTION_CALL =
    seq(
    FUNCTION_NAME,
    char('(').ignore,
    intersperse(…),
    char(')').ignore,
    ).compact.map do |data|
    FunCallNode.new(data[0], data[1])
    end

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  51. 51
    def eval_expr(expr)
    case expr
    when Integer
    expr
    when Array
    eval_function_call(expr)
    end
    end

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  52. 52
    def eval_expr(expr)
    case expr
    when IntNode
    expr.value
    when FunCallNode
    eval_function_call(expr)
    end
    end

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  53. 53
    def eval_function_call(expr)
    case expr[0]
    when 'add'
    expr[1]
    .map { |e| eval_expr(e) }
    .reduce(:+)
    when 'mul'

    end
    end

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  54. 54
    def eval_function_call(expr)
    case expr.name
    when 'add'
    expr.args
    .map { |e| eval_expr(e) }
    .reduce(:+)
    when 'mul'

    end
    end

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  55. Cleanup 2
    55
    Environment

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  56. 56
    class FunDef < Struct.new(:args, :body)
    end

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  57. 57
    $env = {}
    $env['add'] =
    FunDef.new(
    ['a', 'b'],
    ->(a, b) { a + b },
    )

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  58. 58
    def eval_function_call(expr)
    case expr.name
    when 'add'
    expr.args
    .map { |e| eval_expr(e) }
    .reduce(:+)
    when 'mul'

    end
    end

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  59. 59
    def eval_function_call(expr)
    fun = $env[expr.name]
    values = expr.args.map { |e| eval_expr(e) }
    fun.body.call(*values)
    end

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  60. … with error handling, of course.
    60

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  61. Language 3
    61
    Variables

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  62. %
    62
    cat stuff.cke
    4173
    add(2,amount)

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  63. %
    63
    cat stuff.cke | ./clarke
    4173
    7

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  64. 64
    class VarNode < Struct.new(:name)
    end

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  65. 65
    VARIABLE_NAME =
    repeat1(LETTER).capture

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  66. 66
    VARIABLE_REFERENCE =
    VARIABLE_NAME
    .map { |d| VarNode.new(d) }

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  67. 67
    EXPRESSION =
    alt(

    NUMBER,

    FUNCTION_CALL,

    )


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  68. 68
    EXPRESSION =
    alt(
    NUMBER,
    FUNCTION_CALL,
    VARIABLE_REFERENCE,
    )

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  69. 69
    def eval_expr(expr)
    case expr
    when IntNode
    expr.value
    when FunCallNode
    eval_function_call(expr)
    end
    end


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  70. 70
    def eval_expr(expr)
    case expr
    when IntNode
    expr.value
    when FunCallNode
    eval_function_call(expr)
    when VarNode
    eval_var(expr)
    end
    end

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  71. 71
    def eval_var(expr)
    $env[expr.name]
    end

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  72. 72
    $env['amount'] = 5

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  73. Language 3.1
    73
    Variable assignment

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  74. %
    74
    cat stuff.cke
    4173
    amount=5
    add(2,amount)

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  75. %
    75
    cat stuff.cke | ./clarke
    4173
    7

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  76. 76
    class AssignNode < Struct.new(:name, :rhs)
    end

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  77. 77
    ASSIGNMENT =
    seq(
    VARIABLE_NAME,
    char('='),
    lazy { EXPRESSION },
    )

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  78. 78
    ASSIGNMENT =
    seq(
    VARIABLE_NAME,
    char('=').ignore,
    lazy { EXPRESSION },
    ).compact

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  79. 79
    ASSIGNMENT =
    seq(
    VARIABLE_NAME,
    char('=').ignore,
    lazy { EXPRESSION },
    ).compact.map do |data|
    AssignNode.new(data[0], data[1])
    end

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  80. 80
    EXPRESSION =
    alt(
    NUMBER,
    FUNCTION_CALL,
    VARIABLE_REFERENCE,
    )


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  81. 81
    EXPRESSION =
    alt(
    NUMBER,
    FUNCTION_CALL,
    VARIABLE_REFERENCE,
    ASSIGNMENT,
    )

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  82. 82
    def eval_expr(expr)
    case expr
    when …

    when AssignNode
    eval_assign(expr)
    end
    end

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  83. 83
    def eval_assign(expr)
    $env[expr.name] = eval_expr(expr.rhs)
    end

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  84. Cleanup 3
    84
    Print function

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  85. 85
    def handle_success(success)
    success.data.each do |expr|
    p eval_expr(expr)
    end
    end

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  86. 86
    def handle_success(success)
    success.data.each do |expr|
    eval_expr(expr)
    end
    end

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  87. 87
    $env['print'] =
    FunDef.new(
    ['a'],
    ->(a) { p a },
    )

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  88. %
    88
    cat stuff.cke
    4173
    amount=5
    print(add(2,amount))

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  89. %
    89
    cat stuff.cke | ./clarke
    7

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  90. Cleanup 4
    90
    Immutable env

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  91. 91
    def eval_expr(expr)
    case expr
    when …

    when AssignNode
    eval_assign(expr)
    end
    end

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  92. 92
    def eval_expr(expr, env)
    case expr
    when …

    when AssignNode
    eval_assign(expr, env)
    end
    end

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  93. 93
    def eval_assign(expr)
    $env[expr.name] = eval_expr(expr.rhs)
    end


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  94. 94
    def eval_assign(expr, env)
    $env[expr.name] = eval_expr(expr.rhs)
    end


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  95. 95
    def eval_assign(expr, env)
    val = eval_expr(expr.rhs)
    new_env = env.merge(expr.name => val)
    ValAndEnv.new(val, new_env)
    end

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  96. 96
    class ValAndEnv < Struct.new(:val, :env)
    end

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  97. 97
    def handle_success(success)
    success.data.each do |expr|
    eval_expr(expr)
    end
    end

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  98. 98
    def handle_success(success)
    init = ValAndEv.new(0, INITIAL_ENV)



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  99. 99
    def handle_success(success)
    init = ValAndEv.new(0, INITIAL_ENV)
    success.data.reduce(init) do |result, e|
    eval_expr(e, result.env)
    end
    end

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  100. 100
    INITIAL_ENV = {
    'add' => FunDef.new(
    ['a', 'b'],
    ->(a, b) { a + b },
    )
    }

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  101. Language 4
    101
    Scopes

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  102. %
    102
    cat stuff.cke
    4173
    amount = {
    a = 2
    b = 3
    add(a, b)
    }
    print(add(2, amount))

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  103. %
    103
    cat stuff.cke | ./clarke
    7

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  104. 104
    class ScopeNode < Struct.new(:exprs)
    end

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  105. 105
    SCOPE =
    seq(
    char('{'),
    repeat1(lazy { EXPRESSION }),
    char('}'),
    )

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  106. 106
    SCOPE =
    seq(
    char('{').ignore,
    repeat1(lazy { EXPRESSION }),
    char('}').ignore,
    ).compact

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  107. 107
    SCOPE =
    seq(
    char('{').ignore,
    repeat1(lazy { EXPRESSION }),
    char('}').ignore,
    ).compact.map do |data|
    ScopeNode.new(data[0])
    end

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  108. 108
    EXPRESSION =
    alt(
    NUMBER,
    FUNCTION_CALL,
    VARIABLE_REFERENCE,
    ASSIGNMENT,
    )


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  109. 109
    EXPRESSION =
    alt(
    NUMBER,
    FUNCTION_CALL,
    VARIABLE_REFERENCE,
    ASSIGNMENT,
    SCOPE,
    )

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  110. 110
    def eval_expr(expr, env)
    case expr
    when …

    when ScopeNode
    eval_scope(expr, env)
    end
    end

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  111. 111
    def eval_scope(expr, env)
    init = ValAndEnv.new(0, env)
    result =
    expr.exprs.reduce(init) do |result, e|
    eval_expr(e, result.env)
    end
    ValAndEnv.new(result.val, env)
    end

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  112. 112
    def eval_scope(expr, env)
    init = ValAndEnv.new(0, env)
    result =
    expr.exprs.reduce(init) do |result, e|
    eval_expr(e, result.env)
    end
    ValAndEnv.new(result.val, env)
    end

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  113. %
    113
    cat stuff.cke
    4173
    amount = {
    a = 2
    b = 3
    add(a, b)
    }
    print(add(2, amount))

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  114. Language 5
    114
    Conditionals

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  115. %
    115
    cat stuff.cke
    if (0) {
    print(100)
    } else {
    print(200)
    }

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  116. %
    116
    cat stuff.cke | ./clarke
    200

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  117. SKIP
    117

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  118. Language 6
    118
    Function definitions

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  119. %
    119
    cat stuff.cke
    fun multiply(a, b) {
    if (b) {
    add(a, multiply(a, sub(b, 1)))
    } else {
    0
    }
    }
    print(multiply(3, 5))

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  120. 120
    class FunDefNode < Struct.new(
    :name, :argument_names, :body)
    end

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  121. 121
    FUNCTION_DEF =
    seq(
    string('fun'),
    FUNCTION_NAME,
    char('('),
    intersperse(
    VARIABLE_NAME,
    char(','),
    ),
    char(')'),
    SCOPE,
    )


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  122. 122
    FUNCTION_DEF =
    seq(
    string('fun').ignore,
    FUNCTION_NAME,
    char('(').ignore,
    intersperse(
    VARIABLE_NAME,
    char(',').ignore,
    ).compact,
    char(')').ignore,
    SCOPE,
    ).compact


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  123. 123
    FUNCTION_DEF =
    seq(
    string('fun').ignore,
    FUNCTION_NAME,
    char('(').ignore,
    intersperse(
    VARIABLE_NAME,
    char(',').ignore,
    ).compact,
    char(')').ignore,
    SCOPE,
    ).compact.map do |data|
    FunDefNode.new(data[0], data[1], data[2])
    end

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  124. 124
    class FunDef < Struct.new(:argument_names, :body)
    end

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  125. 125

    View Slide

  126. 125
    def eval_function_def(expr, env)

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  127. 125
    def eval_function_def(expr, env)
    fun_def = FunDef.new(

    expr.argument_names, expr.body)


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  128. 125
    def eval_function_def(expr, env)
    fun_def = FunDef.new(

    expr.argument_names, expr.body)

    ValAndEnv.new(

    fun_def,

    env.merge(expr.name => fun_def),

    )

    end

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  129. 126
    def eval_function_call(expr, env)
    fun = env[expr.name]
    values = expr.args.map { |e| eval_expr(e) }




    fun.body.call(*values)

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  130. 127
    def eval_function_call(expr, env)
    fun = env[expr.name]
    values = expr.args.map { |e| eval_expr(e) }
    case fun.body
    when Proc
    when Scope

    fun.body.call(*values)

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  131. 127
    def eval_function_call(expr, env)
    fun = env[expr.name]
    values = expr.args.map { |e| eval_expr(e) }
    case fun.body
    when Proc
    when Scope

    fun.body.call(*values)

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  132. 128

    View Slide

  133. 128
    when Scope

    new_env = env.merge(

    Hash[fun.argument_names.zip(values)])


    View Slide

  134. 128
    when Scope

    new_env = env.merge(

    Hash[fun.argument_names.zip(values)])

    eval_scope(fun.body, new_env)

    end

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  135. %
    129
    cat stuff.cke
    fun multiply(a, b) {
    if (b) {
    add(a, multiply(a, sub(b, 1)))
    } else {
    0
    }
    }
    print(multiply(3, 5))

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  136. Language 7
    130
    Operators

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  137. %
    131
    cat stuff.cke
    fun multiply(a, b) {
    if (b) {
    a + multiply(a, b - 1)
    } else {
    0
    }
    }
    print(multiply(3, 5))

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  138. 132
    10 - 2 - 5 * 2 + 2 ^ 3 ^ 4

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  139. SKIP
    133

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  140. etc.

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  141. Types! Loops! Closures! Objects!

    Classes! Inheritance! Tuples! Records!
    Typechecking! Multimethods!
    Enumerations! Pattern matching!
    Currying! Modules!
    135

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  142. 136

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  143. 136
    L1 Numbers

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  144. 136
    L1 Numbers
    L2 Functions

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  145. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax

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  146. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment

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  147. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables

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  148. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables
    C3 Print function

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  149. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables
    C3 Print function
    C4 Immutable environment

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  150. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables
    C3 Print function
    C4 Immutable environment
    L4 Scopes

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  151. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables
    C3 Print function
    C4 Immutable environment
    L4 Scopes
    L5 Conditionals

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  152. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables
    C3 Print function
    C4 Immutable environment
    L4 Scopes
    L5 Conditionals
    L6 Function definitions

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  153. 136
    L1 Numbers
    L2 Functions
    C1 Abstract syntax
    C2 Environment
    L3 Variables
    C3 Print function
    C4 Immutable environment
    L4 Scopes
    L5 Conditionals
    L6 Function definitions
    L7 Operators

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  154. 137
    github.com/ddfreyne/clarke

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  155. 137
    github.com/ddfreyne/clarke
    SOON

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  156. 138
    Ready to
    interpret
    your questions.
    [email protected] @DDFREYNE

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