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--- lam.base --- base environment
local base = {}
local type = require "type"
local isNull, isa, totable = type.isNull, type.isa, type.totable
local math = math
base.env = {
-- Equivalence
["eqv?"] =
function (r)
local a, b = r.car, r.cdr.car
if a == b then
return true
else
return false
end
end,
-- ["eq?"] = function (r) end, -- how would this be different to eqv?
-- Numbers
["number?"] = function (r) return isa(r.car, "Number") end,
-- ["complex?"] = function (r) end,
-- ["real?"] = function (r) end,
-- ["rational?"] = function (r) end,
-- ["integer?"] = function (r) end,
-- ["exact?"] = function (r) end,
-- ["inexact?"] = function (r) end,
-- ["exact-integer?"] = function (r) end,
-- ["finite?"] = function (r) end,
-- ["infinite?"] = function (r) end,
["="] =
function (r)
local n, r = r.car, r.cdr
while r.cdr do
if n ~= r.car then return false end
r = r.cdr
end
return true
end,
["<"] =
function (r)
local n, r = r.car, r.cdr
while r.cdr do
if n >= r.car then return false end
r = r.cdr
end
return true
end,
[">"] =
function (r)
local n, r = r.car, r.cdr
while r.cdr do
if n <= r.car then return false end
r = r.cdr
end
return true
end,
["<="] =
function (r)
local n, r = r.car, r.cdr
while r.cdr do
if n > r.car then return false end
r = r.cdr
end
return true
end,
[">="] =
function (r)
local n, r = r.car, r.cdr
while r.cdr do
if n < r.car then return false end
r = r.cdr
end
return true
end,
-- Math
["+"] =
function (r)
local r, a = r, 0
while r.cdr do
r, a = r.cdr, a + r.car
end
return a
end,
["-"] =
function (r)
if isNull(r) then return -1 end
if isNull(r.cdr) then return (- r.car) end
local r, a = r.cdr, r.car
while r.cdr do
r, a = r.cdr, a - r.car
end
return a
end,
["*"] =
function (r)
local r, a = r, 1
while r.cdr do
if r.cdr == 0 then return 0 end
r, a = r.cdr, a * r.car
end
return a
end,
["/"] =
function (r)
if isNull(r) then error("Wrong arity") end
if isNull(r.cdr) then return (1 / r.car) end
local r, a = r.cdr, r.car
while r.cdr do
r, a = r.cdr, a / r.car
end
return a
end,
quotient =
function (r)
end,
remainder =
function (r)
end,
modulo =
function (r)
end,
-- numerator = function (r) end,
-- denominator = function (r) end,
abs = function (r) return math.abs(r.car) end,
floor = -- largest integer <= x
function (r) return math.floor(r.car) end,
ceiling = -- smallest integer >= x
function (r) return math.ceil(r.car) end,
truncate = -- smallest |integer| <= |x|
function (r)
local i, _ = math.modf(r.car)
return i
end,
round = -- closest integer to x (ties go even)
function (r)
local i, f = math.modf(r.car)
if f == 0.5 then
if i % 2 == 0 then
return i
else
return i+1
end
else
return i -- is this right?
end
end,
-- Trig
exp = function (r) return math.exp(r.car) end,
log = function (r) return math.log(r.car) end,
pi = math.pi, -- extension
sin = function (r) return math.sin(r.car) end,
cos = function (r) return math.cos(r.car) end,
tan = function (r) return math.tan(r.car) end,
asin = function (r) return math.asin(r.car) end,
acos = function (r) return math.acos(r.car) end,
atan = -- the two-argument variant of atan computes
-- (angle (make-rectangular x y)), even in implementations that
-- don't support general complex numbers [ed. note: whatever
-- that means] --- atan2 ???
function (r) return math.atan(r.car) end,
sqrt = function (r) return math.sqrt(r.car) end,
expt = function (r) return r.car ^ r.cdr.car end,
-- ["make-rectangular"] = function (r) end,
-- ["make-polar"] = function (r) end,
-- ["real-part"] = function (r) end,
-- ["imag-part"] = function (r) end,
-- ["magnitude"] = function (r) end,
-- ["angle"] = function (r) end,
-- ["exact->inexact"] = function (r) end,
-- ["inexact->exact"] = function (r) end,
["number->string"] =
function (r)
-- this will be somewhat complicated
end,
["string->number"] =
function (r)
local n = r.car
if not isNull(r.cdr) then
local radix = r.cdr.car
end
-- This is technically an extension to r5rs
return tonumber(n, radix)
end,
-- Pairs
["pair?"] = function (r) end,
cons = function (r) return type.Cons(r.car, r.cdr.car) end,
car = function (r) return r.car.car end,
cdr = function (r) return r.car.cdr end,
["set-car!"] = function (r) r.car.car = r.cdr.car end,
["set-cdr!"] = function (r) r.car.cdr = r.cdr.car end,
-- cxr
["null?"] = function (r) return isNull(r.car) end,
["list?"] = function (r) return type.isList(r.car) end,
list = function (r) return r end, -- r is already a list
-- Symbols
["symbol?"] = function (r) return isa(r.car, "Symbol") end,
["symbol->string"] = function (r) return type.String(r.car) end,
["string->symbol"] = function (r) return type.Symbol(r.car.value) end,
-- Characters
["char?"] = function (r) end,
["char=?"] = function (r) end,
["char<?"] = function (r) end,
["char>?"] = function (r) end,
["char<=?"] = function (r) end,
["char>=?"] = function (r) end,
["char->integer"] = function (r) end,
["integer->char"] = function (r) end,
-- Strings
["string?"] = function (r) end,
["make-string"] = function (r) end,
["string-length"] = function (r) end,
["string-ref"] = function (r) end,
-- ["string-set!"] = function (r) end, -- not sure if i'll implement
-- Vectors
["vector?"] = function (r) end,
["make-vector"] = function (r) end,
["vector-length"] = function (r) end,
["vector-ref"] = function (r) end,
["vector-set!"] = function (r) end,
-- Control
["procedure?"] = function (r) end,
apply = function (r) end,
["call-with-current-continuation"] = function (r) end,
values = function (r) end,
["call-with-values"] = function (r) end,
["dynamic-wind"] = function (r) end,
-- Eval
eval = function (r) end,
["scheme-report-environment"] = function (r) end,
["null-environment"] = function (r) end,
-- Ports
["input-port?"] = function (r) end,
["output-port?"] = function (r) end,
["current-input-port"] = function (r) end,
["current-output-port"] = function (r) end,
["open-input-file"] = function (r) end,
["open-output-file"] = function (r) end,
["close-input-port"] = function (r) end,
["close-output-port"] = function (r) end,
-- Input
read = function (r) end,
["read-char"] = function (r) end,
["peek-char"] = function (r) end,
["eof-object?"] = function (r) end,
["char-ready?"] = function (r) end,
-- Output
write = function (r) end,
display = function (r) end,
newline = function (r) end,
["write-char"] = function (r) end,
-- System
load = function (r) end,
}
---
return base
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