This commit is contained in:
zk⁷ 2024-04-09 13:40:20 +03:00
commit ba458fffba
Signed by: zkdream.net
GPG Key ID: 0B4C0DA8EE2369CF
16 changed files with 2128 additions and 0 deletions

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.clang-format Normal file
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Language: Cpp
BasedOnStyle: Google
BreakBeforeBraces: Attach
BreakConstructorInitializers: AfterColon
BreakInheritanceList: AfterColon
SpaceBeforeCtorInitializerColon: false
SpaceBeforeInheritanceColon: false
SpaceBeforeRangeBasedForLoopColon: true # Precede the colon with a space when and only when it is used as an operator
SpaceAfterTemplateKeyword: true # To be determined
ColumnLimit: 0
UseTab: Never # To be determined
IndentWidth: 4
AccessModifierOffset: -4
IndentCaseLabels: false
SeparateDefinitionBlocks: Never
EmptyLineBeforeAccessModifier: Never
MaxEmptyLinesToKeep: 0
InsertBraces: true
DerivePointerAlignment: false
ReferenceAlignment: Right
PointerAlignment: Right
QualifierAlignment: Custom
QualifierOrder: ["static", "constexpr", "inline", "type", "const"]
AllowShortBlocksOnASingleLine: Empty
AllowShortFunctionsOnASingleLine: Empty
AllowShortLambdasOnASingleLine: Empty
LineEnding: LF
InsertNewlineAtEOF: true

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.gitignore vendored Normal file
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build/

38
Makefile Normal file
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CXX = clang++
SOURCE = main.cpp
NAME = $(basename $(SOURCE))
BUILD_DIR = build
VERSION = $(shell git describe --tags --always --dirty="-dev" 2>/dev/null || echo "unknown")
MACHINE = $(shell $(CXX) -dumpmachine)
STACK_SIZE = 4294967296
CXXFLAGS = -std=c++20 -O3 -DSTACK_SIZE=$(STACK_SIZE)
ifeq ($(findstring linux,$(MACHINE)), linux)
EXE_EXT =
LDFLAGS = -Wl,-z,stack-size=$(STACK_SIZE)
else ifeq ($(findstring windows-msvc,$(MACHINE)), windows-msvc)
EXE_EXT = .exe
LDFLAGS = -Wl,/STACK:$(STACK_SIZE) -lUser32
else ifeq ($(findstring windows-gnu,$(MACHINE)), windows-gnu)
EXE_EXT = .exe
LDFLAGS = -Wl,--stack,$(STACK_SIZE) -static
else
$(error Unsupported platform: $(MACHINE))
endif
ifeq ($(DEBUG), 1)
CXXFLAGS += -g -fsanitize=address -fsanitize=undefined
VERSION := $(VERSION)-debug
endif
ifeq ($(USE_GMP), 1)
CXXFLAGS += -DUSE_GMP
LDFLAGS += -lgmp
TARGET = $(BUILD_DIR)/$(NAME)-$(VERSION)-$(MACHINE)-gmp$(EXE_EXT)
else
TARGET = $(BUILD_DIR)/$(NAME)-$(VERSION)-$(MACHINE)-nat$(EXE_EXT)
endif
.PHONY: all clean
all: $(TARGET)
$(TARGET): $(SOURCE)
mkdir -p $(BUILD_DIR)
$(CXX) $(CXXFLAGS) $< -o $@ $(LDFLAGS)
clean:
rm -rf $(BUILD_DIR)

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bigint_gmp.hpp Normal file
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#pragma once
#include <gmpxx.h>
#include <utility>
#include <string>
class BigInt {
mpz_class data;
template <typename... T>
BigInt(T &&...args):
data(std::forward<T>(args)...) {}
public:
static BigInt from_string(std::string const &str) {
return BigInt(str);
}
std::string to_string() const {
return data.get_str();
}
operator bool() const {
return data != 0;
}
friend BigInt operator+(BigInt const &lval, BigInt const &rval) {
return BigInt(lval.data + rval.data);
}
friend BigInt operator-(BigInt const &lval, BigInt const &rval) {
return BigInt(lval.data - rval.data);
}
friend BigInt operator*(BigInt const &lval, BigInt const &rval) {
return BigInt(lval.data * rval.data);
}
friend BigInt operator/(BigInt const &lval, BigInt const &rval) {
return BigInt(lval.data / rval.data);
}
friend BigInt operator%(BigInt const &lval, BigInt const &rval) {
return BigInt(lval.data % rval.data);
}
friend bool operator>(BigInt const &lval, BigInt const &rval) {
return lval.data > rval.data;
}
friend bool operator<(BigInt const &lval, BigInt const &rval) {
return lval.data < rval.data;
}
friend bool operator>=(BigInt const &lval, BigInt const &rval) {
return lval.data >= rval.data;
}
friend bool operator<=(BigInt const &lval, BigInt const &rval) {
return lval.data <= rval.data;
}
friend bool operator==(BigInt const &lval, BigInt const &rval) {
return lval.data == rval.data;
}
friend bool operator!=(BigInt const &lval, BigInt const &rval) {
return lval.data != rval.data;
}
};

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bigint_nat.hpp Normal file
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#pragma once
#include <stdint.h>
#include <string>
#include <stdexcept>
class BigInt {
size_t len;
int8_t const *arr;
size_t *ctr;
int8_t get(size_t i) const {
return arr[i < len ? i : len];
}
BigInt(size_t rlen, int8_t const *rarr):
len(rlen), arr(rarr), ctr(new size_t(1)) {
while (len && arr[len - 1] == arr[len]) {
len--;
}
}
public:
static BigInt from_string(std::string_view sv) {
auto itr = sv.rbegin(), end = sv.rend();
if (sv.front() == '+' || sv.front() == '-') {
end--;
}
size_t len = end - itr;
int8_t *arr = new int8_t[len + 1];
if (sv.front() == '-') {
int8_t d = 10;
for (size_t j = 0; itr != end; itr++) {
if (*itr < '0' || *itr > '9') {
delete[] arr;
throw std::invalid_argument("invalid argument");
} else {
d = '9' - *itr + (d == 10);
arr[j++] = d == 10 ? 0 : d;
}
}
arr[len] = d == 10 ? 0 : 9;
} else {
for (size_t j = 0; itr != end; itr++) {
if (*itr < '0' || *itr > '9') {
delete[] arr;
throw std::invalid_argument("invalid argument");
} else {
arr[j++] = *itr - '0';
}
}
arr[len] = 0;
}
return BigInt(len, arr);
}
std::string to_string() const {
char str[len + 2]; // GCC and Clang variable length array extension
char *itr = &str[len + 2], *end = &str[len + 2];
if (arr[len]) {
bool flag = true;
for (size_t i = 0; i < len; i++) {
int8_t d = '9' - arr[i] + flag;
*--itr = (flag = d > '9') ? '0' : d;
}
if (flag) {
*--itr = '1';
*--itr = '-';
} else {
*--itr = '-';
}
} else if (len) {
for (size_t i = 0; i < len; i++) {
*--itr = '0' + arr[i];
}
} else {
*--itr = '0';
}
return std::string(itr, end);
}
BigInt(BigInt const &rval):
len(rval.len), arr(rval.arr), ctr(rval.ctr) {
++*ctr;
}
BigInt &operator=(BigInt const &rval) {
++*rval.ctr;
if (--*ctr == 0) {
delete[] arr;
delete ctr;
}
len = rval.len;
arr = rval.arr;
ctr = rval.ctr;
return *this;
}
~BigInt() {
if (--*ctr == 0) {
delete[] arr;
delete ctr;
}
}
operator bool() const {
return len || arr[len];
}
friend BigInt operator+(BigInt const &lbi, BigInt const &rbi) {
size_t len = (lbi.len > rbi.len ? lbi.len : rbi.len) + 1;
int8_t *arr = new int8_t[len + 1];
int8_t s = 0;
for (size_t i = 0; i <= len; i++) {
s = lbi.get(i) + rbi.get(i) + (s >= 10);
arr[i] = s >= 10 ? s - 10 : s;
}
return BigInt(len, arr);
}
friend BigInt operator-(BigInt const &lbi, BigInt const &rbi) {
size_t len = (lbi.len > rbi.len ? lbi.len : rbi.len) + 1;
int8_t *arr = new int8_t[len + 1];
int8_t d = 0;
for (size_t i = 0; i <= len; i++) {
d = lbi.get(i) - rbi.get(i) - (d < 0);
arr[i] = d < 0 ? d + 10 : d;
}
return BigInt(len, arr);
}
friend BigInt operator*(BigInt const &lbi, BigInt const &rbi) {
size_t len = lbi.len + rbi.len + 1;
int8_t *arr = new int8_t[len + 1]();
for (size_t i = 0; i <= len; i++) {
int8_t p = 0, s = 0;
for (size_t j = 0; i + j <= len; j++) {
p = lbi.get(j) * rbi.get(i) + p / 10;
s = p % 10 + arr[i + j] + (s >= 10);
arr[i + j] = s >= 10 ? s - 10 : s;
}
}
return BigInt(len, arr);
}
template <bool select>
friend BigInt divmod(BigInt const &lbi, BigInt const &rbi) {
size_t len = lbi.len + rbi.len;
int8_t *parr = new int8_t[len + 1], *narr = new int8_t[len + 1];
int8_t *qarr = new int8_t[lbi.len + 1];
int8_t *rarr = new int8_t[rbi.len + 1];
for (size_t i = 0; i <= len; i++) {
parr[i] = lbi.get(i);
}
if (lbi.arr[lbi.len] == rbi.arr[rbi.len]) {
for (size_t i = lbi.len; i <= lbi.len; i--) {
for (qarr[i] = 0;; qarr[i]++) {
int8_t d = 0;
for (size_t j = 0; i + j <= len; j++) {
d = parr[i + j] - rbi.get(j) - (d < 0);
narr[i + j] = d < 0 ? d + 10 : d;
}
if (narr[len] != parr[len]) {
break;
}
for (size_t j = 0; i + j <= len; j++) {
parr[i + j] = narr[i + j];
}
}
}
for (size_t i = 0; i <= rbi.len; i++) {
rarr[i] = parr[i];
}
} else {
for (size_t i = lbi.len; i <= lbi.len; i--) {
for (qarr[i] = 9;; qarr[i]--) {
int8_t s = 0;
for (size_t j = 0; i + j <= len; j++) {
s = parr[i + j] + rbi.get(j) + (s >= 10);
narr[i + j] = s >= 10 ? s - 10 : s;
}
if (narr[len] != parr[len]) {
break;
}
for (size_t j = 0; i + j <= len; j++) {
parr[i + j] = narr[i + j];
}
}
}
for (size_t i = 0; i <= rbi.len; i++) {
rarr[i] = narr[i];
}
}
delete[] parr;
delete[] narr;
if constexpr (select) {
delete[] qarr;
return BigInt(rbi.len, rarr);
} else {
delete[] rarr;
return BigInt(lbi.len, qarr);
}
}
friend BigInt operator/(BigInt const &lbi, BigInt const &rbi) {
return divmod<0>(lbi, rbi);
}
friend BigInt operator%(BigInt const &lbi, BigInt const &rbi) {
return divmod<1>(lbi, rbi);
}
template <auto gt, auto eq, auto lt>
friend auto compare(BigInt const &lbi, BigInt const &rbi) {
if (lbi.arr[lbi.len] < rbi.arr[rbi.len]) {
return gt;
}
if (lbi.arr[lbi.len] > rbi.arr[rbi.len]) {
return lt;
}
for (size_t m = lbi.len > rbi.len ? lbi.len : rbi.len, i = m - 1; i < m; i--) {
if (lbi.get(i) > rbi.get(i)) {
return gt;
}
if (lbi.get(i) < rbi.get(i)) {
return lt;
}
}
return eq;
}
friend bool operator>(BigInt const &lbi, BigInt const &rbi) {
return compare<true, false, false>(lbi, rbi);
}
friend bool operator<(BigInt const &lbi, BigInt const &rbi) {
return compare<false, false, true>(lbi, rbi);
}
friend bool operator>=(BigInt const &lbi, BigInt const &rbi) {
return compare<true, true, false>(lbi, rbi);
}
friend bool operator<=(BigInt const &lbi, BigInt const &rbi) {
return compare<false, true, true>(lbi, rbi);
}
friend bool operator==(BigInt const &lbi, BigInt const &rbi) {
return compare<false, true, false>(lbi, rbi);
}
friend bool operator!=(BigInt const &lbi, BigInt const &rbi) {
return compare<true, false, true>(lbi, rbi);
}
};

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#!/bin/sh
for f in *.cpp; do
make SOURCE=$f
make SOURCE=$f USE_GMP=1
done

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#pragma once
#include <utility>
#include <cassert>
// The difference between Opt and Box is that Opt can be initialized or
// assigned to nullptr, while Box can only be null after being moved.
// Besides, the data in const Opt can still be modified, while the data
// in const Box cannot be modified.
// Both Opt and Box can be copied and moved. The data in them will also
// be copied when they are copied.
template <typename T>
class Opt {
T *data;
Opt(T *data):
data(data) {}
public:
Opt(std::nullptr_t):
data(nullptr) {}
Opt(Opt const &other):
data(other.data ? new T(*other.data) : nullptr) {}
Opt(Opt &&other):
data(other.data) {
other.data = nullptr;
}
Opt &operator=(std::nullptr_t) {
delete data;
data = nullptr;
return *this;
}
Opt &operator=(Opt const &other) {
if (this != &other) {
delete data;
data = other.data ? new T(*other.data) : nullptr;
}
return *this;
}
Opt &operator=(Opt &&other) {
assert(this != &other); // self-assignment is not allowed
delete data;
data = other.data;
other.data = nullptr;
return *this;
}
~Opt() {
delete data;
}
template <typename... Args>
static Opt make(Args &&...args) {
return Opt(new T(std::forward<Args>(args)...));
}
T &operator*() const & {
return *data;
}
T *operator->() const & {
return data;
}
operator bool() const {
return data;
}
};
template <typename T>
class Box {
T *data;
Box(T *data):
data(data) {}
public:
Box(Box const &other):
data(new T(*other.data)) {}
Box(Box &&other):
data(other.data) {
other.data = nullptr;
}
Box &operator=(Box const &other) {
if (this != &other) {
delete data;
data = new T(*other.data);
}
return *this;
}
Box &operator=(Box &&other) {
assert(this != &other); // self-assignment is not allowed
delete data;
data = other.data;
other.data = nullptr;
return *this;
}
~Box() {
delete data;
}
template <typename... Args>
static Box make(Args &&...args) {
return Box(new T(std::forward<Args>(args)...));
}
T const &operator*() const & {
return *data;
}
T const *operator->() const & {
return data;
}
T &operator*() & {
return *data;
}
T *operator->() & {
return data;
}
};

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#!/usr/bin/env python3
import argparse
import sys
import subprocess
def bf2instrs(bf, pf, ml = False):
ind, sp, end = (' ', '\n', '\n') if ml else ('', ' ', '')
cnt = 0
res = ''
for ch in bf:
if ch in '><+-.,':
res += f'{cnt * ind}{pf}Instrs ({pf}{ch}) $ |{sp}'
if ch == '[':
res += f'{cnt * ind}{pf}Instrs ({pf}[] $ |{sp}'
cnt += 1
if ch == ']':
res += f'{cnt * ind}{pf}Instop) $ |{sp}'
cnt -= 1
res += f'{cnt * ind}{pf}Instop{end}'
assert cnt == 0
return res
def enc(s):
return ''.join(f'\op $op {ord(c)} ' for c in s) + '...'
def dec(l):
return ''.join(chr(int(x)) for x in l.split(' ')[-2::-3])
def main():
ap = argparse.ArgumentParser()
ap.add_argument('input', nargs = '?', type = argparse.FileType('r'), default = sys.stdin)
ap.add_argument('-o', '--output', type = argparse.FileType('w'), default = sys.stdout)
eg = ap.add_mutually_exclusive_group(required = True)
eg.add_argument('-v', '--cbv', action = 'store_const', const = '&', dest = 'prefix')
eg.add_argument('-n', '--cbn', action = 'store_const', const = '$', dest = 'prefix')
args = ap.parse_args()
args.output.write(bf2instrs(args.input.read(), args.prefix, True))
def test():
ap = argparse.ArgumentParser()
ap.add_argument('bf', type = argparse.FileType('r'))
ap.add_argument('-i', '--input', type = argparse.FileType('r'), default = sys.stdin)
ap.add_argument('-o', '--output', type = argparse.FileType('w'), default = sys.stdout)
eg = ap.add_mutually_exclusive_group(required = True)
eg.add_argument('-v', '--cbv', action = 'store_const', const = 'cbv', dest = 'choice')
eg.add_argument('-n', '--cbn', action = 'store_const', const = 'cbn', dest = 'choice')
args = ap.parse_args()
pf = {'cbv': '&', 'cbn': '$'}[args.choice]
l = open(f'bf_{args.choice}').read()
l += f':fun {bf2instrs(args.bf.read(), pf)}\n'
l += f':input {enc(args.input.read())}\n'
l += f'cal {pf}run {pf}fun {pf}input\n'
args.output.write(dec(subprocess.check_output([f'../build/lambda_{args.choice}'], input = l.encode()).decode()))
if __name__ == '__main__':
test()

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:Mem ^cur ^lft ^rgt \op $op $cur $lft $rgt
:State ^mem ^in ^out \op $op $mem $in $out
:Cons ^head ^tail \op $op $head $tail
:Instrs ^head ^tail \df \op $op $head $tail
:Instop \df \op $df
:Y \g (\x $x $x) \x $g ($x $x)
:fold $Y \fold \instrs \state $instrs $state \xhead \xtail $fold $xtail ($xhead $state)
:succ \n = 255 $n 0 (+ 1 $n)
:pred \n = 0 $n 255 (- 1 $n)
:< \state $state \mem \in \out $mem \cur \lft \rgt $lft \lhead \ltail $State ($Mem $lhead $ltail ($Cons $cur $rgt)) $in $out
:> \state $state \mem \in \out $mem \cur \lft \rgt $rgt \rhead \rtail $State ($Mem $rhead ($Cons $cur $lft) $rtail) $in $out
:+ \state $state \mem \in \out $mem \cur \lft \rgt $State ($Mem ($succ $cur) $lft $rgt) $in $out
:- \state $state \mem \in \out $mem \cur \lft \rgt $State ($Mem ($pred $cur) $lft $rgt) $in $out
:. \state $state \mem \in \out $mem \cur \lft \rgt $State $mem $in ($Cons $cur $out)
:, \state $state \mem \in \out $mem \cur \lft \rgt $in \ihead \itail $State ($Mem $ihead $lft $rgt) $itail $out
:[] \instrs ($Y \fp \state $state \mem \in \out $mem \cur \lft \rgt = 0 $cur $state ($fp ($fun $state))) |fun $fold $instrs
:inf $Y \inf \op $op 0 $inf
:run \instrs \in ($fold $instrs ($State ($Mem 0 $inf $inf) $in ...)) \mem \in \out $out

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:Mem ^cur ^lft ^rgt \op $op $cur $lft $rgt
:State ^mem ^in ^out \op $op $mem $in $out
:Cons ^head ^tail \op $op $head $tail
:Instrs ^head ^tail \df \op $op $head $tail
:Instop \df \op $df
:Y \g (\x $x $x) \x $g ($x $x)
:fold \instrs \state $instrs $state \xhead \xtail &fold $xtail ($xhead $state)
:succ \n = 255 $n 0 (+ 1 $n)
:pred \n = 0 $n 255 (- 1 $n)
:< \state $state \mem \in \out $mem \cur \lft \rgt $lft \lhead \ltail &State (&Mem $lhead $ltail (&Cons $cur $rgt)) $in $out
:> \state $state \mem \in \out $mem \cur \lft \rgt $rgt \rhead \rtail &State (&Mem $rhead (&Cons $cur $lft) $rtail) $in $out
:+ \state $state \mem \in \out $mem \cur \lft \rgt &State (&Mem (&succ $cur) $lft $rgt) $in $out
:- \state $state \mem \in \out $mem \cur \lft \rgt &State (&Mem (&pred $cur) $lft $rgt) $in $out
:. \state $state \mem \in \out $mem \cur \lft \rgt &State $mem $in (&Cons $cur $out)
:, \state $state \mem \in \out $mem \cur \lft \rgt $in \ihead \itail &State (&Mem $ihead $lft $rgt) $itail $out
:[] \instrs (&Y \fp \state $state \mem \in \out $mem \cur \lft \rgt = 0 $cur $state ($fp ($fun $state))) |fun &fold $instrs
:inf \op $op 0 &inf
:run \instrs \in (&fold $instrs (&State (&Mem 0 &inf &inf) $in ...)) \mem \in \out $out

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examples/test_cbn.λ Normal file
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# Y combinator
:Y \g $x $x |x \x $g ($x $x)
# True and false
:T \T \F $T
:F \T \F $F
# Logical operators (Id, Not, And, Or, Xor)
:= \c $c $T $F
:~ \c $c $F $T
:& \c \d $c $d $F
:| \c \d $c $T $d
:^ \c \d $c $= $~ $d
# List operators (Cons, Car, Cdr, Drop, Map, Scan, Filter, ZipWith)
:con \a \b \o $o $a $b
:car \l $l \a \_ $a
:cdr \l $l \_ \d $d
:drp $Y \z \n \l = 0 $n $l ($l \_ \d $z (- 1 $n) $d)
:map \f $Y \z \l $l \a \d $con ($f $a) ($z $d)
:scn \f $Y \z \x \l $l \a \d $con $x ($z ($f $x $a) $d)
:flt \c $Y \z \l $l \a \d $c $a ($con $a ($z $d)) ($z $d)
:zpw \f $Y \z \l \m $l \a \b $m \c \d $con ($f $a $c) ($z $b $d)
# Non-lazy list constructor
:Nil ...
:Con ^a ^b \o $o $a $b
# Evaluate the first n elements of a list
:Evl $Y \z \n \l = 0 $n $Nil ($l \a \d $Con $a ($z (- 1 $n) $d))
# Three different implementations of the Fibonacci sequence
:fib $Y \z \a \b $con $a ($z $b (+ $a $b))
cal $Evl 1024 $ | $fib 0 1
:fib \a \b $Y \l $con $a ($scn + $b $l)
cal $Evl 1024 $ | $fib 0 1
:fib \a \b $Y \l $con $a ($con $b ($zpw + $l ($cdr $l)))
cal $Evl 1024 $ | $fib 0 1
# 2D space vector operations (Non-lazy construct, Add, Multiply)
:Vec ^x ^y \o $o $x $y
:add \u \v $u \a \b $v \c \d $Vec (+ $a $c) (+ $b $d)
:mul \u \v $u \a \b $v \c \d $Vec (- (* $b $d) (* $a $c)) (+ (* $a $d) (* $b $c))
# Regular paper folding sequence
:lft $Vec 0 (- 1 0)
:rgt $Vec 0 (+ 1 0)
:ins $Y \z \r $con $lft ($r \a \p $con $a ($con $rgt ($p \b \q $con $b ($z $q))))
:rpf $Y \z $ins $z
# Generate first 1024 points on the dragon curve from the regular paper folding sequence
:dir $scn $mul ($Vec 1 0) $rpf
:pos $scn $add ($Vec 0 0) $dir
cal $Evl 1024 $pos

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# Y combinator
:Y \g $g ($x $x) |x \x $g ($x $x)
# True and false
:T \T \F $T
:F \T \F $F
# Logical operators (Id, Not, And, Or, Xor)
:= \c $c &T &F
:~ \c $c &F &T
:& \c \d $c $d &F
:| \c \d $c &T $d
:^ \c \d $c &= &~ $d
# List operators (Cons, Car, Cdr, Drop, Map, Scan, Filter, ZipWith)
:con \a \b \o $o $a $b
:car \l $l \a \_ $a
:cdr \l $l \_ \d $d
:drp \n \l = 0 $n $l ($l \_ \d &drp (- 1 $n) $d)
:map \f \l $l \a \d &con ($f $a) (&map $f $d)
:scn \f \x \l $l \a \d &con $x (&scn $f ($f $x $a) $d)
:flt \c \l $l \a \d $c $a (&con $a (&flt $c $d)) (&flt $c $d)
:zpw \f \l \m $l \a \b $m \c \d &con ($f $a $c) (&zpw $f $b $d)
# Non-lazy list constructor
:Nil ...
:Con ^a ^b \o $o $a $b
# Evaluate the first n elements of a list
:Evl \n \l = 0 $n &Nil ($l \a \d &Con $a (&Evl (- 1 $n) $d))
# Three different implementations of the Fibonacci sequence
:fib \a \b &con $a (&fib $b (+ $a $b))
cal &Evl 1024 $ | &fib 0 1
:fib \a \b &Y \l &con $a (&scn + $b $l)
cal &Evl 1024 $ | &fib 0 1
:fib \a \b &Y \l &con $a (&con $b (&zpw + $l (&cdr $l)))
cal &Evl 1024 $ | &fib 0 1
# 2D space vector operations (Non-lazy construct, Add, Multiply)
:Vec ^x ^y \o $o $x $y
:add \u \v $u \a \b $v \c \d &Vec (+ $a $c) (+ $b $d)
:mul \u \v $u \a \b $v \c \d &Vec (- (* $b $d) (* $a $c)) (+ (* $a $d) (* $b $c))
# Regular paper folding sequence
:lft &Vec 0 (- 1 0)
:rgt &Vec 0 (+ 1 0)
:ins \r &con &lft ($r \a \p &con $a (&con &rgt ($p \b \q &con $b (&ins $q))))
:rpf &ins &rpf
# Generate first 1024 points on the dragon curve from the regular paper folding sequence
:dir &scn &mul (&Vec 1 0) &rpf
:pos &scn &add (&Vec 0 0) &dir
cal &Evl 1024 &pos

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#include <iomanip>
#include <iostream>
#include <optional>
#include <variant>
#include <cassert>
#include <string>
#include <memory>
#include <queue>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include "container.hpp"
#include "slice.hpp"
#ifndef USE_GMP
#include "bigint_nat.hpp" // native big integer
#else
#include "bigint_gmp.hpp" // GNU MP big integer
#endif
#if defined _WIN32
#include <Windows.h>
#elif defined __unix__
#include <unistd.h>
#include <signal.h>
#include <sys/resource.h>
#endif
#ifndef STACK_SIZE
#define STACK_SIZE 8388608 // 8 MiB
#endif
char *stack_top;
char *stack_cur;
void ini_stack() {
char dummy;
stack_top = &dummy;
}
bool chk_stack() {
char dummy;
stack_cur = &dummy;
return stack_top - stack_cur >= STACK_SIZE / 2;
}
#if defined _WIN32
void clr_flag() {
GetAsyncKeyState(VK_ESCAPE);
}
bool chk_flag() {
return GetAsyncKeyState(VK_ESCAPE) & 0x0001;
}
#elif defined __unix__
bool flag_rec;
void set_flag(int) {
flag_rec = 1;
}
void clr_flag() {
flag_rec = 0;
}
bool chk_flag() {
return flag_rec;
}
#endif
auto read(Slice &exp) {
auto i = exp.get_beg();
auto n = exp.get_end();
for (;; i++) {
if (i == n) {
return exp.reset_to(i, n), exp.from_to(i, i);
} else if (*i != ' ') {
break;
}
}
auto j = i;
auto c = 0;
for (;; i++) {
if ((i == n || *i == ' ') && c == 0) {
return exp.reset_to(i, n), exp.from_to(j, i);
} else if (i == n) {
throw std::runtime_error("mismatched parentheses");
} else if (*i == '(') {
c++;
} else if (*i == ')') {
c--;
}
}
}
BigInt operator+(BigInt const &lval, BigInt const &rval);
BigInt operator-(BigInt const &lval, BigInt const &rval);
BigInt operator*(BigInt const &lval, BigInt const &rval);
BigInt operator/(BigInt const &lval, BigInt const &rval);
BigInt operator%(BigInt const &lval, BigInt const &rval);
bool operator>(BigInt const &lval, BigInt const &rval);
bool operator<(BigInt const &lval, BigInt const &rval);
bool operator>=(BigInt const &lval, BigInt const &rval);
bool operator<=(BigInt const &lval, BigInt const &rval);
bool operator==(BigInt const &lval, BigInt const &rval);
bool operator!=(BigInt const &lval, BigInt const &rval);
typedef BigInt (*opr_t)(BigInt const &, BigInt const &);
typedef bool (*cmp_t)(BigInt const &, BigInt const &);
static inline std::unordered_map<char, opr_t> const oprs = {
{'+', operator+},
{'-', operator-},
{'*', operator*},
{'/', operator/},
{'%', operator%},
};
static inline std::unordered_map<char, cmp_t> const cmps = {
{'>', operator>},
{'<', operator<},
{'=', operator==},
};
class Tree {
enum TokenIdx: std::size_t {
Und,
Nil, Chk,
Par, Int,
Opr, AOI,
Cmp, ACI,
LEF, EEF, // Lazy/Eager-Evaluation Function
App, Arg,
};
using TokenVar = std::variant<
std::nullopt_t,
std::monostate, std::monostate,
std::string, BigInt,
std::pair<char, opr_t>, std::pair<std::pair<char, opr_t>, BigInt>,
std::pair<char, cmp_t>, std::pair<std::pair<char, cmp_t>, BigInt>,
Box<std::pair<std::string, Tree>>, Box<std::pair<std::string, Tree>>,
Box<std::pair<Tree, Tree>>, std::shared_ptr<std::pair<Tree, bool>>>;
TokenVar token;
template <typename... Args, typename = std::enable_if_t<std::is_constructible_v<TokenVar, Args &&...>>>
Tree(Args &&...args): token(std::forward<Args>(args)...) {}
static Tree first(Tree &&fst) {
if (fst.token.index() == TokenIdx::Und) {
throw std::runtime_error("empty expression");
} else {
return std::move(fst);
}
}
static Tree build(Tree &&fst, Tree &&snd) {
if (fst.token.index() == TokenIdx::Und) {
return std::move(snd);
} else {
return Box<std::pair<Tree, Tree>>::make(std::move(fst), std::move(snd));
}
}
static Tree parse(Slice &&exp, Tree &&fun = std::nullopt, Tree &&fst = std::nullopt) {
if (auto sym = read(exp); sym.empty()) {
return build(std::move(fun), first(std::move(fst)));
} else if (sym[0] == '\\') {
return build(std::move(fun), build(std::move(fst), Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), parse(std::move(exp))))));
} else if (sym[0] == '|') {
return parse(std::move(exp), Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), build(std::move(fun), first(std::move(fst))))));
} else if (sym[0] == '^') {
return build(std::move(fun), build(std::move(fst), Tree(std::in_place_index<TokenIdx::EEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), parse(std::move(exp))))));
} else if (sym[0] == '@') {
return parse(std::move(exp), Tree(std::in_place_index<TokenIdx::EEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), build(std::move(fun), first(std::move(fst))))));
} else {
return parse(std::move(exp), std::move(fun), build(std::move(fst), lex(std::move(sym))));
}
}
static Tree lex(Slice const &sym) {
if (sym[0] == '(' && sym[-1] == ')') {
return parse(sym(1, -1));
} else if (sym[0] == '$') {
return Tree(std::in_place_index<TokenIdx::Par>, sym(1, 0));
} else if (sym.size() == 3 && sym == "...") {
return Tree(std::in_place_index<TokenIdx::Nil>);
} else if (sym.size() == 1 && sym == "?") {
return Tree(std::in_place_index<TokenIdx::Chk>);
} else if (auto const &o = oprs.find(sym[0]); sym.size() == 1 && o != oprs.end()) {
return Tree(std::in_place_index<TokenIdx::Opr>, *o);
} else if (auto const &c = cmps.find(sym[0]); sym.size() == 1 && c != cmps.end()) {
return Tree(std::in_place_index<TokenIdx::Cmp>, *c);
} else try {
return Tree(std::in_place_index<TokenIdx::Int>, BigInt::from_string(sym));
} catch (...) {
throw std::runtime_error("invalid symbol: " + std::string(sym));
}
}
void calc() {
static const auto T = Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("T", Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("F", Tree(std::in_place_index<TokenIdx::Par>, "T")))));
static const auto F = Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("T", Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("F", Tree(std::in_place_index<TokenIdx::Par>, "F")))));
if (chk_stack()) {
throw std::runtime_error("recursion limit exceeded");
}
tail_call:
if (chk_flag()) {
throw std::runtime_error("keyboard interrupt");
}
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
fst.calc();
if (auto pnil = std::get_if<TokenIdx::Nil>(&fst.token)) {
token.emplace<TokenIdx::Nil>();
} else if (auto pchk = std::get_if<TokenIdx::Chk>(&fst.token)) {
snd.calc();
*this = snd.token.index() == TokenIdx::Nil ? F : T;
} else if (auto plef = std::get_if<TokenIdx::LEF>(&fst.token)) {
auto &[par, tmp] = **plef;
tmp.substitute(std::make_shared<std::pair<Tree, bool>>(std::move(snd), 0), std::move(par));
*this = Tree(std::move(tmp));
goto tail_call;
} else if (auto peef = std::get_if<TokenIdx::EEF>(&fst.token)) {
snd.calc();
auto &[par, tmp] = **peef;
tmp.substitute(std::make_shared<std::pair<Tree, bool>>(std::move(snd), 1), std::move(par));
*this = Tree(std::move(tmp));
goto tail_call;
} else if (auto popr = std::get_if<TokenIdx::Opr>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token); pint && (*pint || popr->first != '/' && popr->first != '%')) {
token = std::make_pair(std::move(*popr), std::move(*pint));
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto pcmp = std::get_if<TokenIdx::Cmp>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token)) {
token = std::make_pair(std::move(*pcmp), std::move(*pint));
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto paoi = std::get_if<TokenIdx::AOI>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token)) {
token = paoi->first.second(std::move(*pint), std::move(paoi->second));
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto paci = std::get_if<TokenIdx::ACI>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token)) {
*this = paci->first.second(std::move(*pint), std::move(paci->second)) ? T : F;
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else {
throw std::runtime_error("invalid function: " + fst.translate());
}
} else if (auto parg = std::get_if<TokenIdx::Arg>(&token)) {
auto &shr = (*parg)->first;
auto rec = (*parg)->second;
if (parg->use_count() == 1) {
*this = Tree(std::move(shr));
if (not rec) {
goto tail_call;
}
} else {
if (not rec) {
shr.calc();
rec = true;
}
*this = shr;
}
}
}
void substitute(std::shared_ptr<std::pair<Tree, bool>> const &arg, std::string const &tar) {
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
fst.substitute(arg, tar);
snd.substitute(arg, tar);
} else if (auto plef = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **plef;
if (par != tar) {
tmp.substitute(arg, tar);
}
} else if (auto peef = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **peef;
if (par != tar) {
tmp.substitute(arg, tar);
}
} else if (auto ppar = std::get_if<TokenIdx::Par>(&token)) {
if (*ppar == tar) {
token.emplace<TokenIdx::Arg>(arg);
}
}
}
void analyze(std::unordered_set<std::string> &set) {
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
fst.analyze(set);
snd.analyze(set);
} else if (auto plef = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **plef;
if (set.find(par) != set.end()) {
tmp.analyze(set);
} else {
auto pos = set.insert(par).first;
tmp.analyze(set);
set.erase(pos);
}
} else if (auto peef = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **peef;
if (set.find(par) != set.end()) {
tmp.analyze(set);
} else {
auto pos = set.insert(par).first;
tmp.analyze(set);
set.erase(pos);
}
} else if (auto ppar = std::get_if<TokenIdx::Par>(&token)) {
if (set.find(*ppar) == set.end()) {
if (auto const &itr = map.find(*ppar); itr != map.end()) {
token.emplace<TokenIdx::Arg>(itr->second);
} else {
throw std::runtime_error("unbound variable: $" + *ppar);
}
}
}
}
static inline std::unordered_map<std::string, std::shared_ptr<std::pair<Tree, bool>>> map;
public:
Tree(Tree const &other): token(other.token) {}
Tree &operator=(Tree const &other) {
token = other.token;
return *this;
}
Tree(Tree &&other): token(std::exchange(other.token, std::nullopt)) {}
Tree &operator=(Tree &&other) {
token = std::exchange(other.token, std::nullopt);
return *this;
}
~Tree() {
if (token.index() == TokenIdx::Und) {
return;
}
std::queue<TokenVar> flat;
flat.push(std::exchange(token, std::nullopt));
for (; not flat.empty(); flat.pop()) {
auto &token = flat.front();
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
flat.push(std::exchange(fst.token, std::nullopt));
flat.push(std::exchange(snd.token, std::nullopt));
} else if (auto parg = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **parg;
flat.push(std::exchange(tmp.token, std::nullopt));
} else if (auto parg = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **parg;
flat.push(std::exchange(tmp.token, std::nullopt));
} else if (auto parg = std::get_if<TokenIdx::Arg>(&token)) {
auto &shr = (*parg)->first;
if (parg->use_count() == 1) {
flat.push(std::exchange(shr.token, std::nullopt));
}
}
}
}
static auto const &put(Slice &&exp, std::string const &par, bool calc) {
auto res = parse(std::move(exp));
std::unordered_set<std::string> set;
res.analyze(set);
map.erase(par);
if (calc) {
clr_flag();
res.calc();
}
return map.emplace(par, std::make_shared<std::pair<Tree, bool>>(std::move(res), calc)).first->second->first;
}
static auto const &dir() {
return map;
}
static void clr() {
return map.clear();
}
std::string translate(bool lb = 0, bool rb = 0) const {
if (auto pnil = std::get_if<TokenIdx::Nil>(&token)) {
return "...";
} else if (auto pchk = std::get_if<TokenIdx::Chk>(&token)) {
return "?";
} else if (auto plef = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **plef;
auto s = "\\" + par + " " + tmp.translate(0, rb && !rb);
return rb ? "(" + s + ")" : s;
} else if (auto peef = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **peef;
auto s = "^" + par + " " + tmp.translate(0, rb && !rb);
return rb ? "(" + s + ")" : s;
} else if (auto pint = std::get_if<TokenIdx::Int>(&token)) {
return pint->to_string();
} else if (auto popr = std::get_if<TokenIdx::Opr>(&token)) {
return std::string{popr->first};
} else if (auto pcmp = std::get_if<TokenIdx::Cmp>(&token)) {
return std::string{pcmp->first};
} else if (auto paoi = std::get_if<TokenIdx::AOI>(&token)) {
auto s = std::string{paoi->first.first, ' '} + paoi->second.to_string();
return lb ? "(" + s + ")" : s;
} else if (auto paci = std::get_if<TokenIdx::ACI>(&token)) {
auto s = std::string{paci->first.first, ' '} + paci->second.to_string();
return lb ? "(" + s + ")" : s;
} else if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
auto s = fst.translate(lb && !lb, 1) + " " + snd.translate(1, rb && !lb);
return lb ? "(" + s + ")" : s;
} else if (auto parg = std::get_if<TokenIdx::Arg>(&token)) {
return (*parg)->first.translate(lb, rb);
} else if (auto ppar = std::get_if<TokenIdx::Par>(&token)) {
return "$" + *ppar;
} else {
assert(false); // unreachable
}
}
};
int main(int argc, char *argv[]) {
ini_stack();
bool check_stdin = false;
bool check_stdout = false;
bool check_stderr = false;
#if defined _WIN32
DWORD dwModeTemp;
check_stdin = GetConsoleMode(GetStdHandle(STD_INPUT_HANDLE), &dwModeTemp);
check_stdout = GetConsoleMode(GetStdHandle(STD_OUTPUT_HANDLE), &dwModeTemp);
check_stderr = GetConsoleMode(GetStdHandle(STD_ERROR_HANDLE), &dwModeTemp);
#elif defined __unix__
check_stdin = isatty(fileno(stdin));
check_stdout = isatty(fileno(stdout));
check_stderr = isatty(fileno(stderr));
struct rlimit rlim;
getrlimit(RLIMIT_STACK, &rlim);
rlim.rlim_cur = STACK_SIZE;
setrlimit(RLIMIT_STACK, &rlim);
struct sigaction act;
act.sa_handler = set_flag;
sigemptyset(&act.sa_mask);
act.sa_flags = 0; // use SA_RESTART to avoid getting EOF when SIGINT is received during input
sigaction(SIGINT, &act, NULL);
#endif
std::string ps_in = check_stderr && check_stdin ? ">> " : "";
std::string ps_out = check_stderr && check_stdout ? "=> " : "";
std::string ps_res = check_stderr && check_stdout ? "== " : "";
for (bool end = false; not end;) {
std::cerr << ps_in;
Slice exp = Slice::getline(std::cin);
if (std::cin.eof()) {
end = true;
if (check_stderr && check_stdin) {
std::cerr << std::endl;
}
}
try {
if (auto cmd = read(exp); cmd.empty() || cmd.size() == 1 && cmd == "#") {
continue;
} else if (cmd[0] == ':') {
Tree::put(std::move(exp), cmd(1, 0), 0);
} else if (cmd.size() == 3 && cmd == "cal") {
auto &res = Tree::put(std::move(exp), "", 1);
std::cerr << ps_res;
std::cout << res.translate() << std::endl;
} else if (cmd.size() == 3 && cmd == "dir") {
for (auto &[par, arg] : Tree::dir()) {
std::cerr << ps_out;
std::cout << ":" + par << std::endl;
}
} else if (cmd.size() == 3 && cmd == "clr") {
Tree::clr();
} else if (cmd.size() == 3 && cmd == "end") {
end = true;
} else {
throw std::runtime_error("unknown command: " + std::string(cmd));
}
} catch (std::exception const &e) {
std::cerr << "Runtime Error: " << e.what() << std::endl;
}
}
return 0;
}

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#include <iomanip>
#include <iostream>
#include <optional>
#include <variant>
#include <cassert>
#include <string>
#include <memory>
#include <queue>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include "container.hpp"
#include "slice.hpp"
#ifndef USE_GMP
#include "bigint_nat.hpp" // native big integer
#else
#include "bigint_gmp.hpp" // GNU MP big integer
#endif
#if defined _WIN32
#include <Windows.h>
#elif defined __unix__
#include <unistd.h>
#include <signal.h>
#include <sys/resource.h>
#endif
#ifndef STACK_SIZE
#define STACK_SIZE 8388608 // 8 MiB
#endif
char *stack_top;
char *stack_cur;
void ini_stack() {
char dummy;
stack_top = &dummy;
}
bool chk_stack() {
char dummy;
stack_cur = &dummy;
return stack_top - stack_cur >= STACK_SIZE / 2;
}
#if defined _WIN32
void clr_flag() {
GetAsyncKeyState(VK_ESCAPE);
}
bool chk_flag() {
return GetAsyncKeyState(VK_ESCAPE) & 0x0001;
}
#elif defined __unix__
bool flag_rec;
void set_flag(int) {
flag_rec = 1;
}
void clr_flag() {
flag_rec = 0;
}
bool chk_flag() {
return flag_rec;
}
#endif
auto read(Slice &exp) {
auto i = exp.get_beg();
auto n = exp.get_end();
for (;; i++) {
if (i == n) {
return exp.reset_to(i, n), exp.from_to(i, i);
} else if (*i != ' ') {
break;
}
}
auto j = i;
auto c = 0;
for (;; i++) {
if ((i == n || *i == ' ') && c == 0) {
return exp.reset_to(i, n), exp.from_to(j, i);
} else if (i == n) {
throw std::runtime_error("mismatched parentheses");
} else if (*i == '(') {
c++;
} else if (*i == ')') {
c--;
}
}
}
BigInt operator+(BigInt const &lval, BigInt const &rval);
BigInt operator-(BigInt const &lval, BigInt const &rval);
BigInt operator*(BigInt const &lval, BigInt const &rval);
BigInt operator/(BigInt const &lval, BigInt const &rval);
BigInt operator%(BigInt const &lval, BigInt const &rval);
bool operator>(BigInt const &lval, BigInt const &rval);
bool operator<(BigInt const &lval, BigInt const &rval);
bool operator>=(BigInt const &lval, BigInt const &rval);
bool operator<=(BigInt const &lval, BigInt const &rval);
bool operator==(BigInt const &lval, BigInt const &rval);
bool operator!=(BigInt const &lval, BigInt const &rval);
typedef BigInt (*opr_t)(BigInt const &, BigInt const &);
typedef bool (*cmp_t)(BigInt const &, BigInt const &);
static inline std::unordered_map<char, opr_t> const oprs = {
{'+', operator+},
{'-', operator-},
{'*', operator*},
{'/', operator/},
{'%', operator%},
};
static inline std::unordered_map<char, cmp_t> const cmps = {
{'>', operator>},
{'<', operator<},
{'=', operator==},
};
class Tree {
enum TokenIdx: std::size_t {
Und,
Nil, Chk,
Par, Int,
Opr, AOI,
Cmp, ACI,
LEF, EEF, // Lazy/Eager-Evaluation Function
App, Arg, Glb,
};
using TokenVar = std::variant<
std::nullopt_t,
std::monostate, std::monostate,
std::string, BigInt,
std::pair<char, opr_t>, std::pair<std::pair<char, opr_t>, BigInt>,
std::pair<char, cmp_t>, std::pair<std::pair<char, cmp_t>, BigInt>,
Box<std::pair<std::string, Tree>>, Box<std::pair<std::string, Tree>>,
Box<std::pair<Tree, Tree>>, std::shared_ptr<std::pair<Tree, bool>>, std::string>;
TokenVar token;
template <typename... Args, typename = std::enable_if_t<std::is_constructible_v<TokenVar, Args &&...>>>
Tree(Args &&...args): token(std::forward<Args>(args)...) {}
static Tree first(Tree &&fst) {
if (fst.token.index() == TokenIdx::Und) {
throw std::runtime_error("empty expression");
} else {
return std::move(fst);
}
}
static Tree build(Tree &&fst, Tree &&snd) {
if (fst.token.index() == TokenIdx::Und) {
return std::move(snd);
} else {
return Box<std::pair<Tree, Tree>>::make(std::move(fst), std::move(snd));
}
}
static Tree parse(Slice &&exp, Tree &&fun = std::nullopt, Tree &&fst = std::nullopt) {
if (auto sym = read(exp); sym.empty()) {
return build(std::move(fun), first(std::move(fst)));
} else if (sym[0] == '\\') {
return build(std::move(fun), build(std::move(fst), Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), parse(std::move(exp))))));
} else if (sym[0] == '|') {
return parse(std::move(exp), Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), build(std::move(fun), first(std::move(fst))))));
} else if (sym[0] == '^') {
return build(std::move(fun), build(std::move(fst), Tree(std::in_place_index<TokenIdx::EEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), parse(std::move(exp))))));
} else if (sym[0] == '@') {
return parse(std::move(exp), Tree(std::in_place_index<TokenIdx::EEF>, Box<std::pair<std::string, Tree>>::make(sym(1, 0), build(std::move(fun), first(std::move(fst))))));
} else {
return parse(std::move(exp), std::move(fun), build(std::move(fst), lex(std::move(sym))));
}
}
static Tree lex(Slice const &sym) {
if (sym[0] == '(' && sym[-1] == ')') {
return parse(sym(1, -1));
} else if (sym[0] == '$') {
return Tree(std::in_place_index<TokenIdx::Par>, sym(1, 0));
} else if (sym[0] == '&') {
return Tree(std::in_place_index<TokenIdx::Glb>, sym(1, 0));
} else if (sym.size() == 3 && sym == "...") {
return Tree(std::in_place_index<TokenIdx::Nil>);
} else if (sym.size() == 1 && sym == "?") {
return Tree(std::in_place_index<TokenIdx::Chk>);
} else if (auto const &o = oprs.find(sym[0]); sym.size() == 1 && o != oprs.end()) {
return Tree(std::in_place_index<TokenIdx::Opr>, *o);
} else if (auto const &c = cmps.find(sym[0]); sym.size() == 1 && c != cmps.end()) {
return Tree(std::in_place_index<TokenIdx::Cmp>, *c);
} else try {
return Tree(std::in_place_index<TokenIdx::Int>, BigInt::from_string(sym));
} catch (...) {
throw std::runtime_error("invalid symbol: " + std::string(sym));
}
}
void calc() {
static const auto T = Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("T", Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("F", Tree(std::in_place_index<TokenIdx::Par>, "T")))));
static const auto F = Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("T", Tree(std::in_place_index<TokenIdx::LEF>, Box<std::pair<std::string, Tree>>::make("F", Tree(std::in_place_index<TokenIdx::Par>, "F")))));
if (chk_stack()) {
throw std::runtime_error("recursion limit exceeded");
}
tail_call:
if (chk_flag()) {
throw std::runtime_error("keyboard interrupt");
}
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
fst.calc();
if (auto pnil = std::get_if<TokenIdx::Nil>(&fst.token)) {
token.emplace<TokenIdx::Nil>();
} else if (auto pchk = std::get_if<TokenIdx::Chk>(&fst.token)) {
snd.calc();
*this = snd.token.index() == TokenIdx::Nil ? F : T;
} else if (auto plef = std::get_if<TokenIdx::LEF>(&fst.token)) {
auto &[par, tmp] = **plef;
tmp.substitute(std::make_shared<std::pair<Tree, bool>>(std::move(snd), 0), std::move(par));
*this = Tree(std::move(tmp));
goto tail_call;
} else if (auto peef = std::get_if<TokenIdx::EEF>(&fst.token)) {
snd.calc();
auto &[par, tmp] = **peef;
tmp.substitute(std::make_shared<std::pair<Tree, bool>>(std::move(snd), 1), std::move(par));
*this = Tree(std::move(tmp));
goto tail_call;
} else if (auto popr = std::get_if<TokenIdx::Opr>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token); pint && (*pint || popr->first != '/' && popr->first != '%')) {
token = std::make_pair(std::move(*popr), std::move(*pint));
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto pcmp = std::get_if<TokenIdx::Cmp>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token)) {
token = std::make_pair(std::move(*pcmp), std::move(*pint));
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto paoi = std::get_if<TokenIdx::AOI>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token)) {
token = paoi->first.second(std::move(*pint), std::move(paoi->second));
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto paci = std::get_if<TokenIdx::ACI>(&fst.token)) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(&snd.token)) {
*this = paci->first.second(std::move(*pint), std::move(paci->second)) ? T : F;
} else if (auto pnil = std::get_if<TokenIdx::Nil>(&snd.token)) {
token.emplace<TokenIdx::Nil>();
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else {
throw std::runtime_error("invalid function: " + fst.translate());
}
} else if (auto parg = std::get_if<TokenIdx::Arg>(&token)) {
auto &shr = (*parg)->first;
auto rec = (*parg)->second;
if (parg->use_count() == 1) {
*this = Tree(std::move(shr));
if (not rec) {
goto tail_call;
}
} else {
if (not rec) {
shr.calc();
rec = true;
}
*this = shr;
}
} else if (auto pglb = std::get_if<TokenIdx::Glb>(&token)) {
if (auto const &itr = map.find(*pglb); itr != map.end()) {
*this = itr->second;
goto tail_call;
} else {
throw std::runtime_error("undefined symbol: &" + *pglb);
}
}
}
void substitute(std::shared_ptr<std::pair<Tree, bool>> const &arg, std::string const &tar) {
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
fst.substitute(arg, tar);
snd.substitute(arg, tar);
} else if (auto plef = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **plef;
if (par != tar) {
tmp.substitute(arg, tar);
}
} else if (auto peef = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **peef;
if (par != tar) {
tmp.substitute(arg, tar);
}
} else if (auto ppar = std::get_if<TokenIdx::Par>(&token)) {
if (*ppar == tar) {
token.emplace<TokenIdx::Arg>(arg);
}
}
}
void analyze(std::unordered_set<std::string> &set) const {
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
fst.analyze(set);
snd.analyze(set);
} else if (auto plef = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **plef;
if (set.find(par) != set.end()) {
tmp.analyze(set);
} else {
auto pos = set.insert(par).first;
tmp.analyze(set);
set.erase(pos);
}
} else if (auto peef = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **peef;
if (set.find(par) != set.end()) {
tmp.analyze(set);
} else {
auto pos = set.insert(par).first;
tmp.analyze(set);
set.erase(pos);
}
} else if (auto ppar = std::get_if<TokenIdx::Par>(&token)) {
if (set.find(*ppar) == set.end()) {
throw std::runtime_error("unbound variable: $" + *ppar);
}
}
}
static inline std::unordered_map<std::string, Tree> map;
public:
Tree(Tree const &other): token(other.token) {}
Tree &operator=(Tree const &other) {
token = other.token;
return *this;
}
Tree(Tree &&other): token(std::exchange(other.token, std::nullopt)) {}
Tree &operator=(Tree &&other) {
token = std::exchange(other.token, std::nullopt);
return *this;
}
~Tree() {
if (token.index() == TokenIdx::Und) {
return;
}
std::queue<TokenVar> flat;
flat.push(std::exchange(token, std::nullopt));
for (; not flat.empty(); flat.pop()) {
auto &token = flat.front();
if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
flat.push(std::exchange(fst.token, std::nullopt));
flat.push(std::exchange(snd.token, std::nullopt));
} else if (auto parg = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **parg;
flat.push(std::exchange(tmp.token, std::nullopt));
} else if (auto parg = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **parg;
flat.push(std::exchange(tmp.token, std::nullopt));
} else if (auto parg = std::get_if<TokenIdx::Arg>(&token)) {
auto &shr = (*parg)->first;
if (parg->use_count() == 1) {
flat.push(std::exchange(shr.token, std::nullopt));
}
}
}
}
static auto cal(Slice &&exp) {
auto res = parse(std::move(exp));
std::unordered_set<std::string> set;
res.analyze(set);
clr_flag();
res.calc();
return res;
}
static void def(Slice &&exp, std::string const &glb) {
std::unordered_set<std::string> set;
auto res = parse(std::move(exp));
res.analyze(set);
map.insert_or_assign(glb, std::move(res));
}
static auto const &dir() {
return map;
}
static void clr() {
return map.clear();
}
std::string translate(bool lb = 0, bool rb = 0) const {
if (auto pnil = std::get_if<TokenIdx::Nil>(&token)) {
return "...";
} else if (auto pchk = std::get_if<TokenIdx::Chk>(&token)) {
return "?";
} else if (auto plef = std::get_if<TokenIdx::LEF>(&token)) {
auto &[par, tmp] = **plef;
auto s = "\\" + par + " " + tmp.translate(0, rb && !rb);
return rb ? "(" + s + ")" : s;
} else if (auto peef = std::get_if<TokenIdx::EEF>(&token)) {
auto &[par, tmp] = **peef;
auto s = "^" + par + " " + tmp.translate(0, rb && !rb);
return rb ? "(" + s + ")" : s;
} else if (auto pint = std::get_if<TokenIdx::Int>(&token)) {
return pint->to_string();
} else if (auto popr = std::get_if<TokenIdx::Opr>(&token)) {
return std::string{popr->first};
} else if (auto pcmp = std::get_if<TokenIdx::Cmp>(&token)) {
return std::string{pcmp->first};
} else if (auto paoi = std::get_if<TokenIdx::AOI>(&token)) {
auto s = std::string{paoi->first.first, ' '} + paoi->second.to_string();
return lb ? "(" + s + ")" : s;
} else if (auto paci = std::get_if<TokenIdx::ACI>(&token)) {
auto s = std::string{paci->first.first, ' '} + paci->second.to_string();
return lb ? "(" + s + ")" : s;
} else if (auto papp = std::get_if<TokenIdx::App>(&token)) {
auto &[fst, snd] = **papp;
auto s = fst.translate(lb && !lb, 1) + " " + snd.translate(1, rb && !lb);
return lb ? "(" + s + ")" : s;
} else if (auto parg = std::get_if<TokenIdx::Arg>(&token)) {
return (*parg)->first.translate(lb, rb);
} else if (auto ppar = std::get_if<TokenIdx::Par>(&token)) {
return "$" + *ppar;
} else if (auto pglb = std::get_if<TokenIdx::Glb>(&token)) {
return "&" + *pglb;
} else {
assert(false); // unreachable
}
}
};
int main(int argc, char *argv[]) {
ini_stack();
bool check_stdin = false;
bool check_stdout = false;
bool check_stderr = false;
#if defined _WIN32
DWORD dwModeTemp;
check_stdin = GetConsoleMode(GetStdHandle(STD_INPUT_HANDLE), &dwModeTemp);
check_stdout = GetConsoleMode(GetStdHandle(STD_OUTPUT_HANDLE), &dwModeTemp);
check_stderr = GetConsoleMode(GetStdHandle(STD_ERROR_HANDLE), &dwModeTemp);
#elif defined __unix__
check_stdin = isatty(fileno(stdin));
check_stdout = isatty(fileno(stdout));
check_stderr = isatty(fileno(stderr));
struct rlimit rlim;
getrlimit(RLIMIT_STACK, &rlim);
rlim.rlim_cur = STACK_SIZE;
setrlimit(RLIMIT_STACK, &rlim);
struct sigaction act;
act.sa_handler = set_flag;
sigemptyset(&act.sa_mask);
act.sa_flags = 0; // use SA_RESTART to avoid getting EOF when SIGINT is received during input
sigaction(SIGINT, &act, NULL);
#endif
std::string ps_in = check_stderr && check_stdin ? ">> " : "";
std::string ps_out = check_stderr && check_stdout ? "=> " : "";
std::string ps_res = check_stderr && check_stdout ? "== " : "";
for (bool end = false; not end;) {
std::cerr << ps_in;
Slice exp = Slice::getline(std::cin);
if (std::cin.eof()) {
end = true;
if (check_stderr && check_stdin) {
std::cerr << std::endl;
}
}
try {
if (auto cmd = read(exp); cmd.empty() || cmd.size() == 1 && cmd == "#") {
continue;
} else if (cmd[0] == ':') {
Tree::def(std::move(exp), cmd(1, 0));
} else if (cmd.size() == 3 && cmd == "cal") {
auto res = Tree::cal(std::move(exp));
std::cerr << ps_res;
std::cout << res.translate() << std::endl;
} else if (cmd.size() == 3 && cmd == "dir") {
for (auto &[glb, tmp] : Tree::dir()) {
std::cerr << ps_out;
std::cout << std::left << std::setw(10) << ":" + (glb.size() <= 8 ? glb : glb.substr(0, 6) + "..") << tmp.translate() << std::endl;
}
} else if (cmd.size() == 3 && cmd == "clr") {
Tree::clr();
} else if (cmd.size() == 3 && cmd == "end") {
end = true;
} else {
throw std::runtime_error("unknown command: " + std::string(cmd));
}
} catch (std::exception const &e) {
std::cerr << "Runtime Error: " << e.what() << std::endl;
}
}
return 0;
}

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#include <iomanip>
#include <iostream>
#include <optional>
#include <variant>
#include <cassert>
#include <string>
#include <memory>
#include <queue>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include "slice.hpp"
#ifndef USE_GMP
#include "bigint_nat.hpp" // native big integer
#else
#include "bigint_gmp.hpp" // GNU MP big integer
#endif
#if defined _WIN32
#include <Windows.h>
#elif defined __unix__
#include <unistd.h>
#include <signal.h>
#include <sys/resource.h>
#endif
#ifndef STACK_SIZE
#define STACK_SIZE 8388608 // 8 MiB
#endif
char *stack_top;
char *stack_cur;
void ini_stack() {
char dummy;
stack_top = &dummy;
}
bool chk_stack() {
char dummy;
stack_cur = &dummy;
return stack_top - stack_cur >= STACK_SIZE / 2;
}
#if defined _WIN32
void clr_flag() {
GetAsyncKeyState(VK_ESCAPE);
}
bool chk_flag() {
return GetAsyncKeyState(VK_ESCAPE) & 0x0001;
}
#elif defined __unix__
bool flag_rec;
void set_flag(int) {
flag_rec = 1;
}
void clr_flag() {
flag_rec = 0;
}
bool chk_flag() {
return flag_rec;
}
#endif
auto read(Slice &exp) {
auto i = exp.get_beg();
auto n = exp.get_end();
for (;; i++) {
if (i == n) {
return exp.reset_to(i, n), exp.from_to(i, i);
} else if (*i != ' ') {
break;
}
}
auto j = i;
auto c = 0;
for (;; i++) {
if ((i == n || *i == ' ') && c == 0) {
return exp.reset_to(i, n), exp.from_to(j, i);
} else if (i == n) {
throw std::runtime_error("mismatched parentheses");
} else if (*i == '(') {
c++;
} else if (*i == ')') {
c--;
}
}
}
BigInt operator+(BigInt const &lval, BigInt const &rval);
BigInt operator-(BigInt const &lval, BigInt const &rval);
BigInt operator*(BigInt const &lval, BigInt const &rval);
BigInt operator/(BigInt const &lval, BigInt const &rval);
BigInt operator%(BigInt const &lval, BigInt const &rval);
bool operator>(BigInt const &lval, BigInt const &rval);
bool operator<(BigInt const &lval, BigInt const &rval);
bool operator>=(BigInt const &lval, BigInt const &rval);
bool operator<=(BigInt const &lval, BigInt const &rval);
bool operator==(BigInt const &lval, BigInt const &rval);
bool operator!=(BigInt const &lval, BigInt const &rval);
typedef BigInt (*opr_t)(BigInt const &, BigInt const &);
typedef bool (*cmp_t)(BigInt const &, BigInt const &);
static inline std::unordered_map<char, opr_t> const oprs = {
{'+', operator+},
{'-', operator-},
{'*', operator*},
{'/', operator/},
{'%', operator%},
};
static inline std::unordered_map<char, cmp_t> const cmps = {
{'>', operator>},
{'<', operator<},
{'=', operator==},
};
class Tree {
enum TokenIdx: std::size_t {
Nil, Chk,
Par, Int,
Opr, AOI,
Cmp, ACI,
LEF, EEF, // Lazy/Eager-Evaluation Function
App,
};
using TokenVar = std::variant<
std::monostate, std::monostate, std::string, BigInt,
std::pair<char, opr_t>, std::pair<std::pair<char, opr_t>, BigInt>,
std::pair<char, cmp_t>, std::pair<std::pair<char, cmp_t>, BigInt>,
std::pair<std::string, Tree>, std::pair<std::string, Tree>,
std::pair<Tree, Tree>>;
std::shared_ptr<TokenVar> sp; bool lb;
Tree(TokenVar *ptr): sp(ptr), lb(0) {}
static Tree first(Tree &&fst) {
if (fst.sp == nullptr) {
throw std::runtime_error("empty expression");
} else {
return std::move(fst);
}
}
static Tree build(Tree &&fst, Tree &&snd) {
if (fst.sp == nullptr) {
return std::move(snd);
} else {
return new TokenVar(std::in_place_index<TokenIdx::App>, std::move(fst), std::move(snd));
}
}
static Tree parse(Slice &&exp, Tree &&fun = nullptr, Tree &&fst = nullptr) {
if (auto sym = read(exp); sym.empty()) {
return build(std::move(fun), first(std::move(fst)));
} else if (sym[0] == '\\') {
return build(std::move(fun), build(std::move(fst), new TokenVar(std::in_place_index<TokenIdx::LEF>, sym(1, 0), parse(std::move(exp)))));
} else if (sym[0] == '|') {
return parse(std::move(exp), new TokenVar(std::in_place_index<TokenIdx::LEF>, sym(1, 0), build(std::move(fun), first(std::move(fst)))));
} else if (sym[0] == '^') {
return build(std::move(fun), build(std::move(fst), new TokenVar(std::in_place_index<TokenIdx::EEF>, sym(1, 0), parse(std::move(exp)))));
} else if (sym[0] == '@') {
return parse(std::move(exp), new TokenVar(std::in_place_index<TokenIdx::EEF>, sym(1, 0), build(std::move(fun), first(std::move(fst)))));
} else {
return parse(std::move(exp), std::move(fun), build(std::move(fst), lex(std::move(sym))));
}
}
static Tree lex(Slice const &sym) {
if (sym[0] == '(' && sym[-1] == ')') {
return parse(sym(1, -1));
} else if (sym[0] == '$') {
return new TokenVar(std::in_place_index<TokenIdx::Par>, sym(1, 0));
} else if (sym.size() == 3 && sym == "...") {
return new TokenVar(std::in_place_index<TokenIdx::Nil>);
} else if (sym.size() == 1 && sym == "?") {
return new TokenVar(std::in_place_index<TokenIdx::Chk>);
} else if (auto const &o = oprs.find(sym[0]); sym.size() == 1 && o != oprs.end()) {
return new TokenVar(std::in_place_index<TokenIdx::Opr>, *o);
} else if (auto const &c = cmps.find(sym[0]); sym.size() == 1 && c != cmps.end()) {
return new TokenVar(std::in_place_index<TokenIdx::Cmp>, *c);
} else try {
return new TokenVar(std::in_place_index<TokenIdx::Int>, BigInt::from_string(sym));
} catch (...) {
throw std::runtime_error("invalid symbol: " + std::string(sym));
}
}
void calc() {
static const auto T = Tree(new TokenVar(std::in_place_index<TokenIdx::LEF>, "T", Tree(new TokenVar(std::in_place_index<TokenIdx::LEF>, "F", Tree(new TokenVar(std::in_place_index<TokenIdx::Par>, "T"))))));
static const auto F = Tree(new TokenVar(std::in_place_index<TokenIdx::LEF>, "T", Tree(new TokenVar(std::in_place_index<TokenIdx::LEF>, "F", Tree(new TokenVar(std::in_place_index<TokenIdx::Par>, "F"))))));
static const auto N = Tree(new TokenVar(std::in_place_index<TokenIdx::Nil>));
if (chk_stack()) {
throw std::runtime_error("recursion limit exceeded");
}
if (chk_flag()) {
throw std::runtime_error("keyboard interrupt");
}
if (auto papp = std::get_if<TokenIdx::App>(sp.get())) {
auto &[fst, snd] = *papp;
fst.calc();
snd.lb = 1;
if (auto pnil = std::get_if<TokenIdx::Nil>(fst.sp.get())) {
*sp = *N.sp;
} else if (auto pchk = std::get_if<TokenIdx::Chk>(fst.sp.get())) {
snd.calc();
*sp = snd.sp->index() == TokenIdx::Nil ? *F.sp : *T.sp;
} else if (auto plef = std::get_if<TokenIdx::LEF>(fst.sp.get())) {
auto &[par, tmp] = *plef;
auto tsb = tmp.substitute(snd, par);
tsb.calc();
*sp = *tsb.sp;
} else if (auto peef = std::get_if<TokenIdx::EEF>(fst.sp.get())) {
snd.calc();
auto &[par, tmp] = *peef;
auto tsb = tmp.substitute(snd, par);
tsb.calc();
*sp = *tsb.sp;
} else if (auto popr = std::get_if<TokenIdx::Opr>(fst.sp.get())) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(snd.sp.get()); pint && (*pint || popr->first != '/' && popr->first != '%')) {
*sp = std::make_pair(*popr, *pint);
} else if (auto pnil = std::get_if<TokenIdx::Nil>(snd.sp.get())) {
*sp = *N.sp;
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto pcmp = std::get_if<TokenIdx::Cmp>(fst.sp.get())) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(snd.sp.get())) {
*sp = std::make_pair(*pcmp, *pint);
} else if (auto pnil = std::get_if<TokenIdx::Nil>(snd.sp.get())) {
*sp = *N.sp;
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto paoi = std::get_if<TokenIdx::AOI>(fst.sp.get())) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(snd.sp.get())) {
*sp = paoi->first.second(*pint, paoi->second);
} else if (auto pnil = std::get_if<TokenIdx::Nil>(snd.sp.get())) {
*sp = *N.sp;
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else if (auto paci = std::get_if<TokenIdx::ACI>(fst.sp.get())) {
snd.calc();
if (auto pint = std::get_if<TokenIdx::Int>(snd.sp.get())) {
*sp = paci->first.second(*pint, paci->second) ? *T.sp : *F.sp;
} else if (auto pnil = std::get_if<TokenIdx::Nil>(snd.sp.get())) {
*sp = *N.sp;
} else {
throw std::runtime_error("cannot apply " + fst.translate() + " on: " + snd.translate());
}
} else {
throw std::runtime_error("invalid function: " + fst.translate());
}
}
}
Tree substitute(Tree const &arg, std::string const &tar) {
if (lb) {
return *this;
}
if (auto papp = std::get_if<TokenIdx::App>(sp.get())) {
auto &[fst, snd] = *papp;
auto fsb = fst.substitute(arg, tar);
auto ssb = snd.substitute(arg, tar);
if (fsb.sp != fst.sp || ssb.sp != snd.sp) {
return new TokenVar(std::in_place_index<TokenIdx::App>, std::move(fsb), std::move(ssb));
}
} else if (auto plef = std::get_if<TokenIdx::LEF>(sp.get())) {
auto &[par, tmp] = *plef;
if (par != tar) {
auto tsb = tmp.substitute(arg, tar);
if (tsb.sp != tmp.sp) {
return new TokenVar(std::in_place_index<TokenIdx::LEF>, par, std::move(tsb));
}
}
} else if (auto peef = std::get_if<TokenIdx::EEF>(sp.get())) {
auto &[par, tmp] = *peef;
if (par != tar) {
auto tsb = tmp.substitute(arg, tar);
if (tsb.sp != tmp.sp) {
return new TokenVar(std::in_place_index<TokenIdx::EEF>, par, std::move(tsb));
}
}
} else if (auto ppar = std::get_if<TokenIdx::Par>(sp.get())) {
if (*ppar == tar) {
return arg;
}
}
return *this;
}
void analyze(std::unordered_set<std::string> &set) {
if (auto papp = std::get_if<TokenIdx::App>(sp.get())) {
auto &[fst, snd] = *papp;
fst.analyze(set);
snd.analyze(set);
} else if (auto plef = std::get_if<TokenIdx::LEF>(sp.get())) {
auto &[par, tmp] = *plef;
if (set.find(par) != set.end()) {
tmp.analyze(set);
} else {
auto pos = set.insert(par).first;
tmp.analyze(set);
set.erase(pos);
}
} else if (auto peef = std::get_if<TokenIdx::EEF>(sp.get())) {
auto &[par, tmp] = *peef;
if (set.find(par) != set.end()) {
tmp.analyze(set);
} else {
auto pos = set.insert(par).first;
tmp.analyze(set);
set.erase(pos);
}
} else if (auto ppar = std::get_if<TokenIdx::Par>(sp.get())) {
if (set.find(*ppar) == set.end()) {
if (auto const &itr = map.find(*ppar); itr != map.end()) {
*this = itr->second;
} else {
throw std::runtime_error("unbound variable: $" + *ppar);
}
}
}
}
static inline std::unordered_map<std::string, Tree> map;
public:
Tree(Tree const &other) = default;
Tree &operator=(Tree const &) = default;
Tree(Tree &&) = default;
Tree &operator=(Tree &&) = default;
~Tree() {
if (sp == nullptr) {
return;
}
std::queue<std::shared_ptr<TokenVar>> flat;
flat.push(std::move(sp));
for (; not flat.empty(); flat.pop()) {
if (auto &sp = flat.front(); sp.use_count() == 1) {
if (auto papp = std::get_if<TokenIdx::App>(sp.get())) {
auto &[fst, snd] = *papp;
flat.push(std::move(fst.sp));
flat.push(std::move(snd.sp));
} else if (auto plef = std::get_if<TokenIdx::LEF>(sp.get())) {
auto &[par, tmp] = *plef;
flat.push(std::move(tmp.sp));
} else if (auto peef = std::get_if<TokenIdx::EEF>(sp.get())) {
auto &[par, tmp] = *peef;
flat.push(std::move(tmp.sp));
}
}
}
}
static auto const &put(Slice &&exp, std::string const &par, bool calc) {
auto res = parse(std::move(exp));
std::unordered_set<std::string> set;
res.analyze(set);
map.erase(par);
if (calc) {
clr_flag();
res.calc();
}
return map.emplace(par, res).first->second;
}
static auto const &dir() {
return map;
}
static void clr() {
return map.clear();
}
std::string translate(bool lb = 0, bool rb = 0) const {
if (auto pnil = std::get_if<TokenIdx::Nil>(sp.get())) {
return "...";
} else if (auto pchk = std::get_if<TokenIdx::Chk>(sp.get())) {
return "?";
} else if (auto plef = std::get_if<TokenIdx::LEF>(sp.get())) {
auto &[par, tmp] = *plef;
auto s = "\\" + par + " " + tmp.translate(0, rb && !rb);
return rb ? "(" + s + ")" : s;
} else if (auto peef = std::get_if<TokenIdx::EEF>(sp.get())) {
auto &[par, tmp] = *peef;
auto s = "^" + par + " " + tmp.translate(0, rb && !rb);
return rb ? "(" + s + ")" : s;
} else if (auto pint = std::get_if<TokenIdx::Int>(sp.get())) {
return pint->to_string();
} else if (auto popr = std::get_if<TokenIdx::Opr>(sp.get())) {
return std::string{popr->first};
} else if (auto pcmp = std::get_if<TokenIdx::Cmp>(sp.get())) {
return std::string{pcmp->first};
} else if (auto paoi = std::get_if<TokenIdx::AOI>(sp.get())) {
auto s = std::string{paoi->first.first, ' '} + paoi->second.to_string();
return lb ? "(" + s + ")" : s;
} else if (auto paci = std::get_if<TokenIdx::ACI>(sp.get())) {
auto s = std::string{paci->first.first, ' '} + paci->second.to_string();
return lb ? "(" + s + ")" : s;
} else if (auto papp = std::get_if<TokenIdx::App>(sp.get())) {
auto &[fst, snd] = *papp;
auto s = fst.translate(lb && !lb, 1) + " " + snd.translate(1, rb && !lb);
return lb ? "(" + s + ")" : s;
} else if (auto ppar = std::get_if<TokenIdx::Par>(sp.get())) {
return "$" + *ppar;
} else {
assert(false); // unreachable
}
}
};
int main(int argc, char *argv[]) {
ini_stack();
bool check_stdin = false;
bool check_stdout = false;
bool check_stderr = false;
#if defined _WIN32
DWORD dwModeTemp;
check_stdin = GetConsoleMode(GetStdHandle(STD_INPUT_HANDLE), &dwModeTemp);
check_stdout = GetConsoleMode(GetStdHandle(STD_OUTPUT_HANDLE), &dwModeTemp);
check_stderr = GetConsoleMode(GetStdHandle(STD_ERROR_HANDLE), &dwModeTemp);
#elif defined __unix__
check_stdin = isatty(fileno(stdin));
check_stdout = isatty(fileno(stdout));
check_stderr = isatty(fileno(stderr));
struct rlimit rlim;
getrlimit(RLIMIT_STACK, &rlim);
rlim.rlim_cur = STACK_SIZE;
setrlimit(RLIMIT_STACK, &rlim);
struct sigaction act;
act.sa_handler = set_flag;
sigemptyset(&act.sa_mask);
act.sa_flags = 0; // use SA_RESTART to avoid getting EOF when SIGINT is received during input
sigaction(SIGINT, &act, NULL);
#endif
std::string ps_in = check_stderr && check_stdin ? ">> " : "";
std::string ps_out = check_stderr && check_stdout ? "=> " : "";
std::string ps_res = check_stderr && check_stdout ? "== " : "";
for (bool end = false; not end;) {
std::cerr << ps_in;
Slice exp = Slice::getline(std::cin);
if (std::cin.eof()) {
end = true;
if (check_stderr && check_stdin) {
std::cerr << std::endl;
}
}
try {
if (auto cmd = read(exp); cmd.empty() || cmd.size() == 1 && cmd == "#") {
continue;
} else if (cmd[0] == ':') {
Tree::put(std::move(exp), cmd(1, 0), 0);
} else if (cmd.size() == 3 && cmd == "cal") {
auto &res = Tree::put(std::move(exp), "", 1);
std::cerr << ps_res;
std::cout << res.translate() << std::endl;
} else if (cmd.size() == 3 && cmd == "dir") {
for (auto &[par, arg] : Tree::dir()) {
std::cerr << ps_out;
std::cout << ":" + par << std::endl;
}
} else if (cmd.size() == 3 && cmd == "clr") {
Tree::clr();
} else if (cmd.size() == 3 && cmd == "end") {
end = true;
} else {
throw std::runtime_error("unknown command: " + std::string(cmd));
}
} catch (std::exception const &e) {
std::cerr << "Runtime Error: " << e.what() << std::endl;
}
}
return 0;
}

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#pragma once
#include <istream>
#include <memory>
#include <string>
class Slice {
std::shared_ptr<char const []> arr;
char const *beg;
char const *end;
Slice(std::shared_ptr<char const []> const &arr, char const *beg, char const *end): arr(arr), beg(beg), end(end) {}
public:
static Slice getline(std::istream &is) {
std::size_t cap = 16;
std::size_t len = 0;
auto arr = std::make_shared<char []>(cap);
char *beg = &arr[0x0];
char *end = &arr[len];
for (char c; is.get(c) && c != '\n'; len++, *end++ = c) {
if (len == cap) {
cap *= 2;
auto tmp = std::make_shared<char []>(cap);
std::copy(beg, end, tmp.get());
arr = tmp;
beg = &arr[0x0];
end = &arr[len];
}
}
return Slice(arr, beg, end);
}
operator std::string() const {
return std::string(beg, end);
}
operator std::string_view() const {
return std::string_view(beg, end - beg);
}
bool operator==(char const *str) const {
return std::equal(beg, end, str);
}
bool empty() const {
return beg == end;
}
size_t size() const {
return end - beg;
}
char operator[](std::ptrdiff_t idx) const {
return (idx < 0 ? end : beg)[idx];
}
Slice operator()(std::ptrdiff_t add, std::ptrdiff_t sub) const {
return Slice(arr, (add < 0 ? end : beg) + add, (sub > 0 ? beg : end) + sub);
}
char const *get_beg() const {
return beg;
}
char const *get_end() const {
return end;
}
Slice from_to(char const *beg, char const *end) const {
return Slice(arr, beg, end);
}
void reset_to(char const *beg, char const *end) {
this->beg = beg;
this->end = end;
}
};