|
| 1 | +""" |
| 2 | +Doctests for `parse` |
| 3 | +-------------------- |
| 4 | +
|
| 5 | +# tag::PARSE[] |
| 6 | +>>> from lis import parse |
| 7 | +>>> parse('1.5') |
| 8 | +1.5 |
| 9 | +>>> parse('ni!') |
| 10 | +'ni!' |
| 11 | +>>> parse('(gcd 18 45)') |
| 12 | +['gcd', 18, 45] |
| 13 | +>>> parse(''' |
| 14 | +... (define double |
| 15 | +... (lambda (n) |
| 16 | +... (* n 2))) |
| 17 | +... ''') |
| 18 | +['define', 'double', ['lambda', ['n'], ['*', 'n', 2]]] |
| 19 | +
|
| 20 | +# end::PARSE[] |
| 21 | +
|
| 22 | +Doctest for `Environment` |
| 23 | +------------------------- |
| 24 | +
|
| 25 | +# tag::ENVIRONMENT[] |
| 26 | +>>> from lis import Environment |
| 27 | +>>> inner_env = {'a': 2} |
| 28 | +>>> outer_env = {'a': 0, 'b': 1} |
| 29 | +>>> env = Environment(inner_env, outer_env) |
| 30 | +>>> env['a'] = 111 # <1> |
| 31 | +>>> env['c'] = 222 |
| 32 | +>>> env |
| 33 | +Environment({'a': 111, 'c': 222}, {'a': 0, 'b': 1}) |
| 34 | +>>> env.change('b', 333) # <2> |
| 35 | +>>> env |
| 36 | +Environment({'a': 111, 'c': 222}, {'a': 0, 'b': 333}) |
| 37 | +
|
| 38 | +# end::ENVIRONMENT[] |
| 39 | +
|
| 40 | +Doctests for `evaluate` |
| 41 | +----------------------- |
| 42 | +
|
| 43 | +# tag::EVAL_NUMBER[] |
| 44 | +>>> from lis import parse, evaluate, standard_env |
| 45 | +>>> evaluate(parse('1.5'), {}) |
| 46 | +1.5 |
| 47 | +
|
| 48 | +# end::EVAL_NUMBER[] |
| 49 | +
|
| 50 | +# tag::EVAL_SYMBOL[] |
| 51 | +>>> from lis import standard_env |
| 52 | +>>> evaluate(parse('+'), standard_env()) |
| 53 | +<built-in function add> |
| 54 | +>>> evaluate(parse('ni!'), standard_env()) |
| 55 | +Traceback (most recent call last): |
| 56 | + ... |
| 57 | +KeyError: 'ni!' |
| 58 | +
|
| 59 | +# end::EVAL_SYMBOL[] |
| 60 | +
|
| 61 | +
|
| 62 | +# tag::EVAL_QUOTE[] |
| 63 | +>>> evaluate(parse('(quote no-such-name)'), standard_env()) |
| 64 | +'no-such-name' |
| 65 | +>>> evaluate(parse('(quote (99 bottles of beer))'), standard_env()) |
| 66 | +[99, 'bottles', 'of', 'beer'] |
| 67 | +>>> evaluate(parse('(quote (/ 10 0))'), standard_env()) |
| 68 | +['/', 10, 0] |
| 69 | +
|
| 70 | +# end::EVAL_QUOTE[] |
| 71 | +
|
| 72 | +# tag::EVAL_IF[] |
| 73 | +>>> evaluate(parse('(if (= 3 3) 1 0))'), standard_env()) |
| 74 | +1 |
| 75 | +>>> evaluate(parse('(if (= 3 4) 1 0))'), standard_env()) |
| 76 | +0 |
| 77 | +
|
| 78 | +# end::EVAL_IF[] |
| 79 | +
|
| 80 | +
|
| 81 | +# tag::EVAL_LAMBDA[] |
| 82 | +>>> expr = '(lambda (a b) (* (/ a b) 100))' |
| 83 | +>>> f = evaluate(parse(expr), standard_env()) |
| 84 | +>>> f # doctest: +ELLIPSIS |
| 85 | +<lis.Procedure object at 0x...> |
| 86 | +>>> f(15, 20) |
| 87 | +75.0 |
| 88 | +
|
| 89 | +# end::EVAL_LAMBDA[] |
| 90 | +
|
| 91 | +# tag::EVAL_DEFINE[] |
| 92 | +>>> global_env = standard_env() |
| 93 | +>>> evaluate(parse('(define answer (* 7 6))'), global_env) |
| 94 | +>>> global_env['answer'] |
| 95 | +42 |
| 96 | +
|
| 97 | +# end::EVAL_DEFINE[] |
| 98 | +
|
| 99 | +# tag::EVAL_DEFUN[] |
| 100 | +>>> global_env = standard_env() |
| 101 | +>>> percent = '(define (% a b) (* (/ a b) 100))' |
| 102 | +>>> evaluate(parse(percent), global_env) |
| 103 | +>>> global_env['%'] # doctest: +ELLIPSIS |
| 104 | +<lis.Procedure object at 0x...> |
| 105 | +>>> global_env['%'](170, 200) |
| 106 | +85.0 |
| 107 | +
|
| 108 | +# end::EVAL_DEFUN[] |
| 109 | +
|
| 110 | +function call: |
| 111 | +
|
| 112 | +# tag::EVAL_CALL[] |
| 113 | +>>> evaluate(parse('(% (* 12 14) (- 500 100))'), global_env) |
| 114 | +42.0 |
| 115 | +
|
| 116 | +# end::EVAL_CALL[] |
| 117 | +
|
| 118 | +# tag::EVAL_SYNTAX_ERROR[] |
| 119 | +>>> evaluate(parse('(lambda is not like this)'), standard_env()) |
| 120 | +Traceback (most recent call last): |
| 121 | + ... |
| 122 | +SyntaxError: (lambda is not like this) |
| 123 | +
|
| 124 | +# end::EVAL_SYNTAX_ERROR[] |
| 125 | +
|
| 126 | +""" |
| 127 | + |
| 128 | +import math |
| 129 | + |
| 130 | +from lis import run |
| 131 | + |
| 132 | + |
| 133 | +fact_src = """ |
| 134 | +(define (! n) |
| 135 | + (if (< n 2) |
| 136 | + 1 |
| 137 | + (* n (! (- n 1))) |
| 138 | + ) |
| 139 | +) |
| 140 | +(! 42) |
| 141 | +""" |
| 142 | +def test_factorial(): |
| 143 | + got = run(fact_src) |
| 144 | + assert got == 1405006117752879898543142606244511569936384000000000 |
| 145 | + assert got == math.factorial(42) |
| 146 | + |
| 147 | + |
| 148 | +gcd_src = """ |
| 149 | +(define (mod m n) |
| 150 | + (- m (* n (// m n)))) |
| 151 | +(define (gcd m n) |
| 152 | + (if (= n 0) |
| 153 | + m |
| 154 | + (gcd n (mod m n)))) |
| 155 | +(display (gcd 18 45)) |
| 156 | +""" |
| 157 | +def test_gcd(capsys): |
| 158 | + run(gcd_src) |
| 159 | + captured = capsys.readouterr() |
| 160 | + assert captured.out == '9\n' |
| 161 | + |
| 162 | + |
| 163 | +quicksort_src = """ |
| 164 | +(define (quicksort lst) |
| 165 | + (if (null? lst) |
| 166 | + lst |
| 167 | + (begin |
| 168 | + (define pivot (car lst)) |
| 169 | + (define rest (cdr lst)) |
| 170 | + (append |
| 171 | + (quicksort |
| 172 | + (filter (lambda (x) (< x pivot)) rest)) |
| 173 | + (list pivot) |
| 174 | + (quicksort |
| 175 | + (filter (lambda (x) (>= x pivot)) rest))) |
| 176 | + ) |
| 177 | + ) |
| 178 | +) |
| 179 | +(quicksort (list 2 1 6 3 4 0 8 9 7 5)) |
| 180 | +""" |
| 181 | +def test_quicksort(): |
| 182 | + got = run(quicksort_src) |
| 183 | + assert got == [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] |
| 184 | + |
| 185 | + |
| 186 | +# Example from Structure and Interpretation of Computer Programs |
| 187 | +# https://mitpress.mit.edu/sites/default/files/sicp/full-text/sicp/book/node12.html |
| 188 | + |
| 189 | +newton_src = """ |
| 190 | +(define (sqrt x) |
| 191 | + (sqrt-iter 1.0 x)) |
| 192 | +(define (sqrt-iter guess x) |
| 193 | + (if (good-enough? guess x) |
| 194 | + guess |
| 195 | + (sqrt-iter (improve guess x) x))) |
| 196 | +(define (good-enough? guess x) |
| 197 | + (< (abs (- (* guess guess) x)) 0.001)) |
| 198 | +(define (improve guess x) |
| 199 | + (average guess (/ x guess))) |
| 200 | +(define (average x y) |
| 201 | + (/ (+ x y) 2)) |
| 202 | +(sqrt 123454321) |
| 203 | +""" |
| 204 | +def test_newton(): |
| 205 | + got = run(newton_src) |
| 206 | + assert math.isclose(got, 11111) |
| 207 | + |
| 208 | + |
| 209 | +closure_src = """ |
| 210 | +(define (make-adder increment) |
| 211 | + (lambda (x) (+ increment x)) |
| 212 | +) |
| 213 | +(define inc (make-adder 1)) |
| 214 | +(inc 99) |
| 215 | +""" |
| 216 | +def test_closure(): |
| 217 | + got = run(closure_src) |
| 218 | + assert got == 100 |
| 219 | + |
| 220 | +closure_with_change_src = """ |
| 221 | +(define (make-counter) |
| 222 | + (define n 0) |
| 223 | + (lambda () |
| 224 | + (set! n (+ n 1)) |
| 225 | + n) |
| 226 | +) |
| 227 | +(define counter (make-counter)) |
| 228 | +(display (counter)) |
| 229 | +(display (counter)) |
| 230 | +(display (counter)) |
| 231 | +""" |
| 232 | +def test_closure_with_change(capsys): |
| 233 | + run(closure_with_change_src) |
| 234 | + captured = capsys.readouterr() |
| 235 | + assert captured.out == '1\n2\n3\n' |
| 236 | + |
| 237 | + |
| 238 | + |
| 239 | +# tag::RUN_AVERAGER[] |
| 240 | +closure_averager_src = """ |
| 241 | +(define (make-averager) |
| 242 | + (define count 0) |
| 243 | + (define total 0) |
| 244 | + (lambda (new-value) |
| 245 | + (set! count (+ count 1)) |
| 246 | + (set! total (+ total new-value)) |
| 247 | + (/ total count) |
| 248 | + ) |
| 249 | +) |
| 250 | +(define avg (make-averager)) |
| 251 | +(avg 10) |
| 252 | +(avg 11) |
| 253 | +(avg 15) |
| 254 | +""" |
| 255 | +def test_closure_averager(): |
| 256 | + got = run(closure_averager_src) |
| 257 | + assert got == 12.0 |
| 258 | +# end::RUN_AVERAGER[] |
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