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scheme_builtins.py
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scheme_builtins.py
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"""This module implements the built-in procedures of the Scheme language."""
import math
import numbers
import operator
import sys
from pair import Pair, nil, repl_str
from scheme_reader import *
from scheme_eval_apply import *
from scheme_classes import *
from scheme_utils import *
#######################
# Built-In Procedures #
#######################
# A list of triples (NAME, PYTHON-FUNCTION, INTERNAL-NAME). Added to by
# builtin and used in scheme.create_global_frame.
BUILTINS = []
def builtin(*names, need_env=False):
"""An annotation to convert a Python function into a BuiltinProcedure."""
def add(py_func):
for name in names:
BUILTINS.append((name, py_func, names[0], need_env))
return py_func
return add
builtin("procedure?")(scheme_procedurep)
builtin("list?")(scheme_listp)
builtin("atom?")(scheme_atomp)
builtin("boolean?")(scheme_booleanp)
builtin("number?")(scheme_numberp)
builtin("symbol?")(scheme_symbolp)
builtin("string?")(scheme_stringp)
builtin("null?")(scheme_nullp)
@builtin("not")
def scheme_not(x):
return not is_scheme_true(x)
@builtin("equal?")
def scheme_equalp(x, y):
if scheme_pairp(x) and scheme_pairp(y):
return scheme_equalp(x.first, y.first) and scheme_equalp(x.rest, y.rest)
elif scheme_numberp(x) and scheme_numberp(y):
return x == y
else:
return type(x) == type(y) and x == y
@builtin("eq?")
def scheme_eqp(x, y):
if scheme_numberp(x) and scheme_numberp(y):
return x == y
elif scheme_symbolp(x) and scheme_symbolp(y):
return x == y
else:
return x is y
@builtin("pair?")
def scheme_pairp(x):
return type(x).__name__ == 'Pair'
@builtin("scheme-valid-cdr?")
def scheme_valid_cdrp(x):
return scheme_pairp(x) or scheme_nullp(x) or scheme_promisep(x)
# Streams
@builtin("promise?")
def scheme_promisep(x):
return type(x).__name__ == 'Promise'
@builtin("force")
def scheme_force(x):
validate_type(x, scheme_promisep, 0, 'promise')
return x.evaluate()
@builtin("cdr-stream")
def scheme_cdr_stream(x):
validate_type(x, lambda x: scheme_pairp(x) and scheme_promisep(x.rest), 0, 'cdr-stream')
return scheme_force(x.rest)
@builtin("length")
def scheme_length(x):
validate_type(x, scheme_listp, 0, 'length')
if x is nil:
return 0
return len(x)
@builtin("cons")
def scheme_cons(x, y):
return Pair(x, y)
@builtin("car")
def scheme_car(x):
validate_type(x, scheme_pairp, 0, 'car')
return x.first
@builtin("cdr")
def scheme_cdr(x):
validate_type(x, scheme_pairp, 0, 'cdr')
return x.rest
# Mutation extras
@builtin("set-car!")
def scheme_set_car(x, y):
validate_type(x, scheme_pairp, 0, 'set-car!')
x.first = y
@builtin("set-cdr!")
def scheme_set_cdr(x, y):
validate_type(x, scheme_pairp, 0, 'set-cdr!')
validate_type(y, scheme_valid_cdrp, 1, 'set-cdr!')
x.rest = y
@builtin("list")
def scheme_list(*vals):
result = nil
for e in reversed(vals):
result = Pair(e, result)
return result
@builtin("append")
def scheme_append(*vals):
if len(vals) == 0:
return nil
result = vals[-1]
for i in range(len(vals) - 2, -1, -1):
v = vals[i]
if v is not nil:
validate_type(v, scheme_pairp, i, 'append')
r = p = Pair(v.first, result)
v = v.rest
while scheme_pairp(v):
p.rest = Pair(v.first, result)
p = p.rest
v = v.rest
result = r
return result
@builtin("integer?")
def scheme_integerp(x):
return scheme_numberp(x) and (isinstance(x, numbers.Integral) or int(x) == x)
def _check_nums(*vals):
"""Check that all arguments in VALS are numbers."""
for i, v in enumerate(vals):
if not scheme_numberp(v):
msg = "operand {0} ({1}) is not a number"
raise SchemeError(msg.format(i, v))
def _arith(fn, init, vals):
"""Perform the FN operation on the number values of VALS, with INIT as
the value when VALS is empty. Returns the result as a Scheme value."""
_check_nums(*vals)
s = init
for val in vals:
s = fn(s, val)
s = _ensure_int(s)
return s
def _ensure_int(x):
if int(x) == x:
x = int(x)
return x
@builtin("+")
def scheme_add(*vals):
return _arith(operator.add, 0, vals)
@builtin("-")
def scheme_sub(val0, *vals):
_check_nums(val0, *vals) # fixes off-by-one error
if len(vals) == 0:
return _ensure_int(-val0)
return _arith(operator.sub, val0, vals)
@builtin("*")
def scheme_mul(*vals):
return _arith(operator.mul, 1, vals)
@builtin("/")
def scheme_div(val0, *vals):
_check_nums(val0, *vals) # fixes off-by-one error
try:
if len(vals) == 0:
return _ensure_int(operator.truediv(1, val0))
return _arith(operator.truediv, val0, vals)
except ZeroDivisionError as err:
raise SchemeError(err)
@builtin("expt")
def scheme_expt(val0, val1):
_check_nums(val0, val1)
return pow(val0, val1)
@builtin("abs")
def scheme_abs(val0):
return abs(val0)
@builtin("quotient")
def scheme_quo(val0, val1):
_check_nums(val0, val1)
try:
return -(-val0 // val1) if (val0 < 0) ^ (val1 < 0) else val0 // val1
except ZeroDivisionError as err:
raise SchemeError(err)
@builtin("modulo")
def scheme_modulo(val0, val1):
_check_nums(val0, val1)
try:
return val0 % val1
except ZeroDivisionError as err:
raise SchemeError(err)
@builtin("remainder")
def scheme_remainder(val0, val1):
_check_nums(val0, val1)
try:
result = val0 % val1
except ZeroDivisionError as err:
raise SchemeError(err)
while result < 0 and val0 > 0 or result > 0 and val0 < 0:
result -= val1
return result
def number_fn(module, name, fallback=None):
"""A Scheme built-in procedure that calls the numeric Python function named
MODULE.FN."""
py_fn = getattr(module, name) if fallback is None else getattr(module, name, fallback)
def scheme_fn(*vals):
_check_nums(*vals)
return py_fn(*vals)
return scheme_fn
# Add number functions in the math module as built-in procedures in Scheme
for _name in ["acos", "acosh", "asin", "asinh", "atan", "atan2", "atanh",
"ceil", "copysign", "cos", "cosh", "degrees", "floor", "log",
"log10", "log1p", "radians", "sin", "sinh", "sqrt",
"tan", "tanh", "trunc"]:
builtin(_name)(number_fn(math, _name))
builtin("log2")(number_fn(math, "log2", lambda x: math.log(x, 2))) # Python 2 compatibility
def _numcomp(op, x, y):
_check_nums(x, y)
return op(x, y)
@builtin("=")
def scheme_eq(x, y):
return _numcomp(operator.eq, x, y)
@builtin("<")
def scheme_lt(x, y):
return _numcomp(operator.lt, x, y)
@builtin(">")
def scheme_gt(x, y):
return _numcomp(operator.gt, x, y)
@builtin("<=")
def scheme_le(x, y):
return _numcomp(operator.le, x, y)
@builtin(">=")
def scheme_ge(x, y):
return _numcomp(operator.ge, x, y)
@builtin("even?")
def scheme_evenp(x):
_check_nums(x)
return x % 2 == 0
@builtin("odd?")
def scheme_oddp(x):
_check_nums(x)
return x % 2 == 1
@builtin("zero?")
def scheme_zerop(x):
_check_nums(x)
return x == 0
##
# Other operations
##
@builtin("display")
def scheme_display(*vals):
vals = [repl_str(val[1:-1] if scheme_stringp(val) else val) for val in vals]
print(*vals, end="")
@builtin("print")
def scheme_print(*vals):
vals = [repl_str(val) for val in vals]
print(*vals)
@builtin("displayln")
def scheme_displayln(*vals):
scheme_display(*vals)
scheme_newline()
@builtin("newline")
def scheme_newline():
print()
sys.stdout.flush()
@builtin("error")
def scheme_error(msg=None):
msg = "" if msg is None else repl_str(msg)
raise SchemeError(msg)
@builtin("exit")
def scheme_exit():
raise EOFError
@builtin("map", need_env=True)
def scheme_map(fn, s, env):
validate_type(fn, scheme_procedurep, 0, 'map')
validate_type(s, scheme_listp, 1, 'map')
return s.map(lambda x: complete_apply(fn, Pair(x, nil), env))
@builtin("filter", need_env=True)
def scheme_filter(fn, s, env):
validate_type(fn, scheme_procedurep, 0, 'filter')
validate_type(s, scheme_listp, 1, 'filter')
head, current = nil, nil
while s is not nil:
item, s = s.first, s.rest
if complete_apply(fn, Pair(item, nil), env):
if head is nil:
head = Pair(item, nil)
current = head
else:
current.rest = Pair(item, nil)
current = current.rest
return head
@builtin("reduce", need_env=True)
def scheme_reduce(fn, s, env):
validate_type(fn, scheme_procedurep, 0, 'reduce')
validate_type(s, lambda x: x is not nil, 1, 'reduce')
validate_type(s, scheme_listp, 1, 'reduce')
value, s = s.first, s.rest
while s is not nil:
value = complete_apply(fn, scheme_list(value, s.first), env)
s = s.rest
return value
@builtin("load", need_env=True)
def scheme_load(*args):
"""Load a Scheme source file. ARGS should be of the form (SYM, ENV) or
(SYM, QUIET, ENV). The file named SYM is loaded into Frame ENV,
with verbosity determined by QUIET (default true)."""
if not (2 <= len(args) <= 3):
expressions = args[:-1]
raise SchemeError('"load" given incorrect number of arguments: '
'{0}'.format(len(expressions)))
sym = args[0]
quiet = args[1] if len(args) > 2 else True
env = args[-1]
if (scheme_stringp(sym)):
sym = eval(sym)
validate_type(sym, scheme_symbolp, 0, 'load')
with scheme_open(sym) as infile:
lines = infile.readlines()
args = (lines, None) if quiet else (lines,)
def next_line():
return buffer_lines(*args)
from scheme import read_eval_print_loop
read_eval_print_loop(next_line, env, quiet=quiet, report_errors=True)
@builtin("load-all", need_env=True)
def scheme_load_all(directory, env):
"""
Loads all .scm files in the given directory, alphabetically. Used only
in tests/ code.
"""
assert scheme_stringp(directory)
directory = directory[1:-1]
import os
for x in sorted(os.listdir(".")):
if not x.endswith(".scm"):
continue
scheme_load(x, env)
def scheme_open(filename):
"""If either FILENAME or FILENAME.scm is the name of a valid file,
return a Python file opened to it. Otherwise, raise an error."""
try:
return open(filename)
except IOError as exc:
if filename.endswith('.scm'):
raise SchemeError(str(exc))
try:
return open(filename + '.scm')
except IOError as exc:
raise SchemeError(str(exc))
##
# Turtle graphics (non-standard)
##
turtle = CANVAS = None
def _title():
import turtle as _nativeturtle
_nativeturtle.title("Scheme Turtles")
def attempt_install_tk_turtle():
try:
from abstract_turtle import turtle
except ImportError:
raise SchemeError("Could not find abstract_turtle. This should never happen in student-facing situations. If you are a student, please file a bug on Piazza.")
return turtle
def attempt_create_tk_canvas():
try:
import tkinter as _
except:
raise SchemeError("\n".join([
"Could not import tkinter, so the tk-turtle will not work.",
"Either install python with tkinter support or run in pillow-turtle mode"
]))
from abstract_turtle import TkCanvas
return TkCanvas(1000, 1000, init_hook=_title)
def attempt_create_pillow_canvas():
try:
import PIL as _
import numpy as _
except:
raise SchemeError("\n".join([
"Could not import abstract_turtle[pillow_canvas]'s dependencies.",
"To install these packages, run",
" python3 -m pip install 'abstract_turtle[pillow_canvas]'",
"You can also run in tk-turtle mode by removing the flag `--pillow-turtle`"
]))
from abstract_turtle import PillowCanvas
return PillowCanvas(1000, 1000)
def _tscheme_prep():
global turtle, CANVAS
if turtle is not None:
return
_turtle = attempt_install_tk_turtle()
if builtins.TK_TURTLE:
try:
_CANVAS = attempt_create_tk_canvas()
except SchemeError as e:
print(e, file=sys.stderr)
print("Attempting pillow canvas mode", file=sys.stderr)
_CANVAS = attempt_create_pillow_canvas()
else:
_CANVAS = attempt_create_pillow_canvas()
turtle, CANVAS = _turtle, _CANVAS
turtle.set_canvas(CANVAS)
turtle.mode("logo")
@builtin("forward", "fd")
def tscheme_forward(n):
"""Move the turtle forward a distance N units on the current heading."""
_check_nums(n)
_tscheme_prep()
turtle.forward(n)
@builtin("backward", "back", "bk")
def tscheme_backward(n):
"""Move the turtle backward a distance N units on the current heading,
without changing direction."""
_check_nums(n)
_tscheme_prep()
turtle.backward(n)
@builtin("left", "lt")
def tscheme_left(n):
"""Rotate the turtle's heading N degrees counterclockwise."""
_check_nums(n)
_tscheme_prep()
turtle.left(n)
@builtin("right", "rt")
def tscheme_right(n):
"""Rotate the turtle's heading N degrees clockwise."""
_check_nums(n)
_tscheme_prep()
turtle.right(n)
@builtin("circle")
def tscheme_circle(r, extent=None):
"""Draw a circle with center R units to the left of the turtle (i.e.,
right if N is negative. If EXTENT is not None, then draw EXTENT degrees
of the circle only. Draws in the clockwise direction if R is negative,
and otherwise counterclockwise, leaving the turtle facing along the
arc at its end."""
if extent is None:
_check_nums(r)
else:
_check_nums(r, extent)
_tscheme_prep()
turtle.circle(r, extent and extent)
@builtin("setposition", "setpos", "goto")
def tscheme_setposition(x, y):
"""Set turtle's position to (X,Y), heading unchanged."""
_check_nums(x, y)
_tscheme_prep()
turtle.setposition(x, y)
@builtin("setheading", "seth")
def tscheme_setheading(h):
"""Set the turtle's heading H degrees clockwise from north (up)."""
_check_nums(h)
_tscheme_prep()
turtle.setheading(h)
@builtin("penup", "pu")
def tscheme_penup():
"""Raise the pen, so that the turtle does not draw."""
_tscheme_prep()
turtle.penup()
@builtin("pendown", "pd")
def tscheme_pendown():
"""Lower the pen, so that the turtle starts drawing."""
_tscheme_prep()
turtle.pendown()
@builtin("showturtle", "st")
def tscheme_showturtle():
"""Make turtle visible."""
_tscheme_prep()
turtle.showturtle()
@builtin("hideturtle", "ht")
def tscheme_hideturtle():
"""Make turtle visible."""
_tscheme_prep()
turtle.hideturtle()
@builtin("clear")
def tscheme_clear():
"""Clear the drawing, leaving the turtle unchanged."""
_tscheme_prep()
turtle.clear()
@builtin("color")
def tscheme_color(c):
"""Set the color to C, a string such as '"red"' or '"#ffc0c0"' (representing
hexadecimal red, green, and blue values."""
_tscheme_prep()
validate_type(c, scheme_stringp, 0, "color")
turtle.color(eval(c))
@builtin("rgb")
def tscheme_rgb(red, green, blue):
"""Return a color from RED, GREEN, and BLUE values from 0 to 1."""
colors = (red, green, blue)
for x in colors:
if x < 0 or x > 1:
raise SchemeError("Illegal color intensity in " + repl_str(colors))
scaled = tuple(int(x * 255) for x in colors)
return '"#%02x%02x%02x"' % scaled
@builtin("begin_fill")
def tscheme_begin_fill():
"""Start a sequence of moves that outline a shape to be filled."""
_tscheme_prep()
turtle.begin_fill()
@builtin("end_fill")
def tscheme_end_fill():
"""Fill in shape drawn since last begin_fill."""
_tscheme_prep()
turtle.end_fill()
@builtin("bgcolor")
def tscheme_bgcolor(c):
_tscheme_prep()
validate_type(c, scheme_stringp, 0, "bgcolor")
turtle.bgcolor(eval(c))
@builtin("exitonclick")
def tscheme_exitonclick():
global turtle
"""Wait for a click on the turtle window, and then close it."""
if turtle is None:
return
_tscheme_prep()
# BEGIN SOLUTION NO PROMPT ALT="if _turtle_screen_on:"
if builtins.TK_TURTLE:
print("Close or click on turtle window to complete exit")
if builtins.TURTLE_SAVE_PATH is not None:
_save(builtins.TURTLE_SAVE_PATH)
turtle.exitonclick()
turtle = None
@builtin("speed")
def tscheme_speed(s):
"""Set the turtle's animation speed as indicated by S (an integer in
0-10, with 0 indicating no animation (lines draw instantly), and 1-10
indicating faster and faster movement."""
validate_type(s, scheme_integerp, 0, "speed")
_tscheme_prep()
turtle.speed(s)
@builtin("pixel")
def tscheme_pixel(x, y, c):
"""Draw a filled box of pixels (default 1 pixel) at (X, Y) in color C."""
validate_type(c, scheme_stringp, 0, "pixel")
color = c[1:-1]
_tscheme_prep()
turtle.pixel(x, y, color)
@builtin("pixelsize")
def tscheme_pixelsize(size):
"""Change pixel size to SIZE."""
_check_nums(size)
_tscheme_prep()
turtle.pixel_size(size)
@builtin("screen_width")
def tscheme_screen_width():
"""Screen width in pixels of the current size (default 1)."""
_tscheme_prep()
return turtle.canvas_width()
@builtin("screen_height")
def tscheme_screen_height():
"""Screen height in pixels of the current size (default 1)."""
_tscheme_prep()
return turtle.canvas_height()
def _save(path):
if not builtins.TK_TURTLE:
path = path + ".png"
CANVAS.export().save(path, "png")
else:
CANVAS.export(path + ".ps")
@builtin("save-to-file")
def tscheme_write_to_file(path):
_tscheme_prep()
validate_type(path, scheme_stringp, 0, "save-to-file")
path = eval(path)
_save(path)
@builtin("print-then-return")
def scheme_print_return(val1, val2):
print(repl_str(val1))
return val2