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hyperrogue/util.cpp

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// Hyperbolic Rogue -- basic utility functions
// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
/** \file util.cpp
* \brief basic utility functions: maths, parsing expressions
*/
#include "hyper.h"
namespace hr {
#if CAP_TIMEOFDAY
#if !CAP_SDL
int lastusec;
int uticks;
EX int SDL_GetTicks() {
struct timeval tim;
gettimeofday(&tim, NULL);
int newusec = tim.tv_usec;
uticks += newusec - lastusec;
if(newusec <= lastusec)
uticks += 1000000;
lastusec = newusec;
return uticks / 1000;
}
#endif
#endif
EX long double sqr(long double x) { return x*x; }
EX ld round_nearest(ld x) { if(x > 0) return int(x+.5); else return -int(.5-x); }
EX ld round_nearest(ld x, ld multiple_of) { return multiple_of * round_nearest(x / multiple_of); }
EX int gcd(int i, int j) {
return i ? gcd(j%i, i) : j;
}
EX int gmod(int i, int j) {
i %= j; if(i<0) i += j;
return i;
}
EX int zgmod(int a, int b) { return b ? gmod(a, b) : a; }
EX int szgmod(int a, int b) {
if(!b) return a;
a = gmod(a, b);
if(2*a >= b) return a - b;
return a;
}
EX int gdiv(int i, int j) {
return (i - gmod(i, j)) / j;
}
EX ld frac(ld x) {
x -= int(x);
if(x < 0) x++;
return x;
}
EX ld lerp(ld a0, ld a1, ld x) {
return a0 + (a1-a0) * x;
}
EX ld clamp(ld a, ld v0, ld v1) {
if(a < v0) return v0;
if(a > v1) return v1;
return a;
}
EX cld lerp(cld a0, cld a1, ld x) {
return a0 + (a1-a0) * x;
}
EX ld ilerp(ld a0, ld a1, ld x) {
return (x-a0) / (a1-a0);
}
EX purehookset hooks_tests;
EX string simplify(const string& s) {
string res;
for(char c: s) if(isalnum(c)) res += c;
return res;
}
EX bool appears(const string& haystack, const string& needle) {
return simplify(haystack).find(simplify(needle)) != string::npos;
}
#if HDR
struct hr_parse_exception : hr_exception {
string s;
const char *what() const noexcept override { return s.c_str(); }
hr_parse_exception(const string& z) : s(z) {}
~hr_parse_exception() noexcept(true) {}
};
struct exp_parser {
string s;
int at;
int line_number, last_line;
exp_parser() { at = 0; line_number = 1; last_line = 0; }
string where() {
if(s.find('\n')) return "(line " + its(line_number) + ", pos " + its(at-last_line) + ")";
else return "(pos " + its(at) + ")";
}
map<string, cld> extra_params;
bool ok() { return at == isize(s); }
char next(int step=0) { if(at >= isize(s)-step) return 0; else return s[at+step]; }
char eatchar() {
return s[at++];
}
bool eat(const char *c) {
int orig_at = at;
while(*c && *c == next()) at++, c++;
if(*c == 0) return true;
else at = orig_at;
return false;
}
void skip_white();
string next_token();
char snext(int step=0) { skip_white(); return next(step); }
vector<pair<ld, ld>> parse_with_reps();
cld parse(int prio = 0);
transmatrix parsematrix(int prio = 0);
color_t parsecolor(int prio = 0);
ld rparse(int prio = 0) { return validate_real(parse(prio)); }
int iparse(int prio = 0) { return int(floor(rparse(prio) + .5)); }
cld parsepar() {
cld res = parse();
force_eat(")");
return res;
}
ld validate_real(cld x) {
if(kz(imag(x))) throw hr_parse_exception("expected real number but " + lalign(-1, x) + " found at " + where());
return real(x);
}
void force_eat(const char *c) {
skip_white();
if(!eat(c)) throw hr_parse_exception("expected: " + string(c) + " at " + where());
}
};
#endif
void exp_parser::skip_white() {
while(next() == ' ' || next() == '\n' || next() == '\r' || next() == '\t') {
if(next() == '\r') last_line++;
if(next() == '\n') {
line_number++, last_line = at;
}
at++;
}
}
string exp_parser::next_token() {
skip_white();
string token;
while(true) {
char c = next();
if((c >= '0' && c <= '9') || (c == '.' && next(1) != '.') || (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z') || c == '_')
token += c, at++;
else break;
}
return token;
}
vector<pair<ld, ld>> exp_parser::parse_with_reps() {
vector<pair<ld, ld>> vals;
vals.emplace_back(rparse(0), 1);
while(true) {
skip_white();
if(eat(":^")) {
ld rep = rparse(0);
vals.back().second *= rep;
}
if(eat(",")) vals.emplace_back(rparse(0), 1);
else break;
}
return vals;
}
ld bmousexs, bmouseys;
cld exp_parser::parse(int prio) {
cld res;
skip_white();
if(eat("sin(")) res = sin(parsepar());
else if(eat("cos(")) res = cos(parsepar());
else if(eat("sinh(")) res = sinh(parsepar());
else if(eat("cosh(")) res = cosh(parsepar());
else if(eat("asin(")) res = asin(parsepar());
else if(eat("acos(")) res = acos(parsepar());
else if(eat("asinh(")) res = asinh(parsepar());
else if(eat("acosh(")) res = acosh(parsepar());
else if(eat("exp(")) res = exp(parsepar());
else if(eat("sqrt(")) res = sqrt(parsepar());
else if(eat("log(")) res = log(parsepar());
else if(eat("tan(")) res = tan(parsepar());
else if(eat("tanh(")) res = tanh(parsepar());
else if(eat("atan(")) res = atan(parsepar());
else if(eat("atanh(")) res = atanh(parsepar());
else if(eat("abs(")) res = abs(parsepar());
else if(eat("re(")) res = real(parsepar());
else if(eat("im(")) res = imag(parsepar());
else if(eat("conj(")) res = std::conj(parsepar());
else if(eat("floor(")) res = floor(validate_real(parsepar()));
else if(eat("frac(")) { res = parsepar(); res = res - floor(validate_real(res)); }
else if(eat("to01(")) { res = parsepar(); return atan(res) / ld(M_PI) + ld(0.5); }
else if(eat("min(")) {
ld a = rparse(0);
while(skip_white(), eat(",")) a = min(a, rparse(0));
force_eat(")");
res = a;
}
else if(eat("max(")) {
ld a = rparse(0);
while(skip_white(), eat(",")) a = max(a, rparse(0));
force_eat(")");
res = a;
}
else if(eat("atan2(")) {
ld y = rparse(0);
force_eat(",");
ld x = rparse(0);
force_eat(")");
res = atan2(y, x);
}
else if(eat("edge(")) {
ld a = rparse(0);
force_eat(",");
ld b = rparse(0);
force_eat(")");
res = edge_of_triangle_with_angles(TAU/a, M_PI/b, M_PI/b);
}
else if(eat("edge_angles(")) {
cld a = rparse(0);
force_eat(",");
cld b = rparse(0);
force_eat(",");
cld c = rparse(0);
force_eat(")");
if (auto *angleunit = hr::at_or_null(extra_params, "angleunit")) {
a *= *angleunit;
b *= *angleunit;
c *= *angleunit;
}
return edge_of_triangle_with_angles(real(a), real(b), real(c));
}
else if(eat("regradius(")) {
ld a = rparse(0);
force_eat(",");
ld b = rparse(0);
force_eat(")");
res = edge_of_triangle_with_angles(90._deg, M_PI/a, M_PI/b);
}
#if CAP_ARCM
else if(eat("arcmedge(")) {
vector<pair<ld, ld>> vals = parse_with_reps();
force_eat(")");
res = euclid ? 1 : arcm::compute_edgelength(vals);
if (auto *distunit = hr::at_or_null(extra_params, "distunit"))
res /= *distunit;
}
else if(eat("arcmcurv(")) {
vector<pair<ld, ld>> vals = parse_with_reps();
force_eat(")");
ld total = 0;
for(auto p: vals) total += p.second * (180 - 360 / p.first);
total = (360 - total) * degree;
if(abs(total) < 1e-10) total = 0;
res = total;
}
#endif
else if(eat("ideal_angle(")) {
ld edges = rparse(0);
ld u = 1;
skip_white(); if(eat(",")) u = rparse(0);
force_eat(")");
return arb::rep_ideal(edges, u).second;
}
else if(eat("ideal_edge(")) {
ld edges = rparse(0);
ld u = 1;
skip_white(); if(eat(",")) u = rparse(0);
force_eat(")");
return arb::rep_ideal(edges, u).first;
}
else if(eat("regangle(")) {
cld edgelen = parse(0);
if (auto *distunit = hr::at_or_null(extra_params, "distunit")) {
edgelen *= *distunit;
}
force_eat(",");
ld edges = rparse(0);
force_eat(")");
ld alpha = M_PI / edges;
if(isinf(edges)) {
ld u = sqrt(cosh(validate_real(edgelen)) * 2 - 2);
ld a = atan2(1, u/2);
res = 2 * a;
}
else {
ld c = asin_auto(sin_auto(validate_real(edgelen)/2) / sin(alpha));
hyperpoint h = xpush(c) * spin(M_PI - 2*alpha) * xpush0(c);
ld result = 2 * atan2(h);
if(result < 0) result = -result;
cyclefix(result, 0);
res = result;
}
if (auto *angleunit = hr::at_or_null(extra_params, "angleunit"))
res /= *angleunit;
}
else if(eat("test(")) {
res = parsepar();
println(hlog, "res = ", res, ": ", fts(real(res), 10), ",", fts(imag(res), 10));
}
else if(eat("ifp(")) {
cld cond = parse(0);
force_eat(",");
cld yes = parse(0);
force_eat(",");
cld no = parsepar();
res = real(cond) > 0 ? yes : no;
}
else if(eat("ifz(")) {
cld cond = parse(0);
force_eat(",");
cld yes = parse(0);
force_eat(",");
cld no = parsepar();
res = abs(cond) < 1e-8 ? yes : no;
}
else if(eat("let(")) {
string name = next_token();
force_eat("=");
cld val = parse(0);
force_eat(",");
dynamicval<cld> d(extra_params[name], val);
res = parsepar();
}
#if CAP_TEXTURE
else if(eat("txp(")) {
cld val = parsepar();
res = texture::get_txp(real(val), imag(val), int(real(extra_params["p"]) + .5)-1);
}
#endif
else if(next() == '(') at++, res = parsepar();
else {
string number = next_token();
if (auto *p = hr::at_or_null(extra_params, number)) res = *p;
else if (auto *p = hr::at_or_null(params, number)) res = (*p)->get_cld();
else if(number == "e") res = exp(1);
else if(number == "i") res = cld(0, 1);
else if(number == "inf") res = HUGE_VAL;
else if(number == "p" || number == "pi") res = M_PI;
else if(number == "tau") res = TAU;
else if(number == "phi") res = (1 + sqrt(5)) / 2;
else if(number == "" && next() == '-') { at++; res = -parse(20); }
else if(number == "") throw hr_parse_exception("number missing, " + where());
else if(number == "s") res = ticks / 1000.;
else if(number == "ms") res = ticks;
else if(number[0] == '0' && number[1] == 'x') res = strtoll(number.c_str()+2, NULL, 16);
else if(number == "mousex") res = mousex;
else if(number == "deg") res = degree;
else if(number == "ultra_mirror_dist") res = cgi.ultra_mirror_dist;
else if(number == "psl_steps") res = cgi.psl_steps;
else if(number == "single_step") res = cgi.single_step;
else if(number == "step") res = hdist0(tC0(currentmap->adj(cwt.at, 0)));
else if(number == "edgelen") { start_game(); res = hdist(get_corner_position(cwt.at, 0), get_corner_position(cwt.at, 1)); }
else if(number == "mousey") res = mousey;
else if(number == "turncount") res = turncount;
else if(number == "framecount") res = frameid;
else if(number == "gametime") res = getgametime_precise();
else if(number == "last_a") res = anims::last_anim_vars[0];
else if(number == "last_b") res = anims::last_anim_vars[1];
else if(number == "last_c") res = anims::last_anim_vars[2];
else if(number == "last_d") res = anims::last_anim_vars[3];
else if(number == "illegal_moves") res = illegal_moves;
else if(number == "mousexs") {
if(!inHighQual) bmousexs = (1. * mousex - current_display->xcenter) / current_display->radius;
res = bmousexs;
}
else if(number == "mouseys") {
if(!inHighQual) bmouseys = (1. * mousey - current_display->ycenter) / current_display->radius;
res = bmouseys;
}
else if(number == "random") res = randd();
else if(number == "mousez") res = cld(mousex - current_display->xcenter, mousey - current_display->ycenter) / cld(current_display->radius, 0);
else if(number == "shot") res = inHighQual ? 1 : 0;
#if CAP_ARCM
else if(number == "fake_edgelength") res = arcm::fake_current.edgelength;
#endif
else if(number == "MAX_EDGE") res = FULL_EDGE;
else if(number == "MAX_VALENCE") res = 120;
else if(number[0] >= 'a' && number[0] <= 'z') throw hr_parse_exception("unknown value: " + number);
else if(number[0] >= 'A' && number[0] <= 'Z') throw hr_parse_exception("unknown value: " + number);
else if(number[0] == '_') throw hr_parse_exception("unknown value: " + number);
else {
if(among(number.back(), 'e', 'E')) {
if(eat("-")) number = number + "-" + next_token();
else if(eat("+")) number = number + "+" + next_token();
}
std::stringstream ss; res = 0; ss << number;
ss >> res;
if(ss.fail() || !ss.eof()) throw hr_parse_exception("unknown value: " + number);
}
}
while(true) {
skip_white();
#if CAP_ANIMATIONS
if(next() == '.' && next(1) == '.' && prio == 0) {
static const cld NO_DERIVATIVE(3.1, 2.5);
vector<array<cld, 4>> rest = { make_array(res, NO_DERIVATIVE, res, NO_DERIVATIVE) };
bool second = true;
while(next() == '.' && next(1) == '.') {
/* spline interpolation */
if(next(2) == '/') {
at += 3;
rest.back()[second ? 3 : 1] = parse(10);
continue;
}
/* sharp end */
else if(next(2) == '|') {
at += 3;
rest.back()[2] = parse(10);
rest.back()[3] = NO_DERIVATIVE;
second = true;
continue;
}
at += 2;
auto val = parse(10);
rest.emplace_back(make_array(val, NO_DERIVATIVE, val, NO_DERIVATIVE));
second = false;
}
ld v = ticks * (isize(rest)-1.) / anims::period;
int vf = v;
v -= vf;
if(isize(rest) == 1) rest.push_back(rest[0]);
vf %= (isize(rest)-1);
auto& lft = rest[vf];
auto& rgt = rest[vf+1];
if(lft[3] == NO_DERIVATIVE && rgt[1] == NO_DERIVATIVE)
res = lerp(lft[2], rgt[0], v);
else if(rgt[1] == NO_DERIVATIVE)
res = lerp(lft[2] + lft[3] * v, rgt[0], v*v);
else if(lft[3] == NO_DERIVATIVE)
res = lerp(lft[2], rgt[0] + rgt[1] * (v-1), (2-v)*v);
else {
res = lerp(lft[2] + lft[3] * v, rgt[0] + rgt[1] * (v-1), v*v*(3-2*v));
}
return res;
}
else
#endif
if(next() == '+' && prio <= 10) at++, res = res + parse(20);
else if(next() == '-' && prio <= 10) at++, res = res - parse(20);
else if(next() == '*' && prio <= 20) at++, res = res * parse(30);
else if(next() == '/' && prio <= 20) at++, res = res / parse(30);
else if(next() == '^') at++, res = pow(res, parse(40));
else break;
}
return res;
}
int coord_id(char ch) {
if(ch == 'x') return 0;
if(ch == 'y') return 1;
if(ch == 'z') return 2;
if(ch == 'w') return 3;
if(ch == 't') return MDIM-1;
return -1;
}
ld angle_unit(char ch) {
if(ch == 'r') return 1;
if(ch == 'd') return degree;
if(ch == 't') return TAU;
if(ch == 'q') return TAU/4;
if(ch == 'l') return -1;
return 0;
}
transmatrix exp_parser::parsematrix(int prio) {
skip_white();
transmatrix res;
if(s[at] && s[at+1] && s[at+2] && s[at+3] == '(') {
ld unit = angle_unit(s[at]);
int c0 = coord_id(s[at+1]);
int c1 = coord_id(s[at+2]);
if(c0 >= 0 && c1 >= 0 && c0 != c1 && unit) {
at += 4;
ld angle = validate_real(parsepar());
if(unit == -1) res = lorentz(c0, c1, angle);
else res = cspin(c0, c1, unit * angle);
goto mulwhile;
}
}
if(eat("inv(")) {
res = parsematrix();
force_eat(")");
res = inverse(res);
}
else if(next() == '(') {
at++;
res = parsematrix();
force_eat(")");
}
else {
string token = next_token();
if(token == "id") res = Id;
else if(token == "view") res = View;
else if(token == "mori") res = pconf.mori().get();
else throw hr_parse_exception("unknown matrix: " + token);
}
mulwhile:
while(true) {
skip_white();
if(next() == '*' && prio <= 20) at++, res = res * parsematrix(30);
else break;
}
return res;
}
color_t part_to_col(array<ld, 4> parts) {
color_t res;
for(int i=0; i<4; i++) {
ld v = parts[i];
part(res, i) = clamp(int(v * 255 + .5), 0, 255);
}
return res;
}
color_t exp_parser::parsecolor(int prio) {
skip_white();
if(eat("indexed(")) {
int pos = at;
array<ld, 4> parts;
bool have_index = extra_params.count("p");
auto val = extra_params["p"];
for(int i=0; i<4; i++) {
at = pos;
extra_params["p"] = i+1;
parts[i] = rparse();
}
if(!have_index) extra_params.erase("p");
extra_params["p"] = val;
force_eat(")");
return part_to_col(parts);
}
if(eat("wallif(")) {
ld val0 = rparse();
force_eat(",");
color_t res = parsecolor();
force_eat(")");
res &= 0xFFFFFF00;
if(val0 > 0) res |= 0x1;
return res;
}
if(eat("rgb(")) {
array<ld, 4> parts;
parts[3] = rparse(); force_eat(",");
parts[2] = rparse(); force_eat(",");
parts[1] = rparse();
if(eat(",")) parts[0] = rparse(); else parts[0] = 1;
force_eat(")");
return part_to_col(parts);
}
if(eat("hsv(")) {
ld hue = rparse();
ld sat = eat(",") ? rparse() : 1;
ld value = eat(",") ? rparse() : 1;
ld alpha = eat(",") ? rparse() : 1;
color_t col = (rainbow_color(sat, hue) << 8) | 0xFF;
if(value < 1) col = gradient(0, col, 0, value, 1);
if(alpha < 1) part(col, 0) = clamp(alpha * 255, 0, 255);
}
if(eat("lerp(")) {
color_t a = parsecolor();
force_eat(",");
color_t b = parsecolor();
force_eat(",");
ld x = rparse();
force_eat(")");
return gradient(a, b, 0, x, 1);
}
string token = next_token();
if(params.count(token)) return (color_t) real(params[token]->get_cld());
auto p = find_color_by_name(s);
if(p) return (p->second << 8) | 0xFF;
color_t res;
if(s.size() == 6) {
int qty = sscanf(s.c_str(), "%x", &res);
if(qty == 0) throw hr_parse_exception("color parse error");
return res * 256 + 0xFF;
}
else if(s.size() == 8) {
int qty = sscanf(s.c_str(), "%x", &res);
if(qty == 0) throw hr_parse_exception("color parse error");
return res;
}
throw hr_parse_exception("color parse error");
}
EX ld parseld(const string& s) {
exp_parser ep;
ep.s = s;
return ep.rparse();
}
EX transmatrix parsematrix(const string& s) {
exp_parser ep;
ep.s = s;
return ep.parsematrix();
}
EX color_t parsecolor(const string& s, bool has_alpha) {
exp_parser ep;
ep.s = s;
auto col = ep.parsecolor();
if(!has_alpha) col >>= 8;
return col;
}
EX colortable parsecolortable(const string& s) {
colortable tab;
tab.clear();
exp_parser ep;
ep.s = s;
tab.push_back(ep.parsecolor() >> 8);
while(ep.eat(","))
tab.push_back(ep.parsecolor() >> 8);
return tab;
}
EX trans23 parsematrix23(const string& s) {
trans23 t;
#if MAXMDIM == 3
t.v2 = t.v3 = parsematrix(s);
#else
auto& dim = cginf.g.homogeneous_dimension;
dynamicval<int> d1(dim, dim);
dim = 3; t.v2 = parsematrix(s);
dim = 4; t.v3 = parsematrix(s);
#endif
return t;
}
EX int parseint(const string& s) {
exp_parser ep;
ep.s = s;
return ep.iparse();
}
EX string available_functions() {
return
"(a)sin(h), (a)cos(h), (a)tan(h), exp, log, abs, re, im, conj, let(t=...,...t...), floor, frac, sqrt, to01, random, edge(7,3), regradius(7,3), ifp(a,v,w) [if positive]";
}
EX string available_constants() {
return
"e, i, pi, s, ms, mousex, mousey, mousez, shot [1 if taking screenshot/animation]";
}
#if HDR
struct bignum {
static constexpr int BASE = 1000000000;
static constexpr long long BASE2 = BASE * (long long)BASE;
vector<int> digits;
bignum() {}
bignum(int i) : digits() { digits.push_back(i); }
void be(int i) { digits.resize(1); digits[0] = i; }
bignum& operator +=(const bignum& b);
void addmul(const bignum& b, int factor);
string get_str(int max_length) const;
bignum(ld d);
bool operator < (const bignum&) const;
bool operator > (const bignum& b) const { return b < self; }
ld leading() const {
switch(isize(digits)) {
case 0:
return 0;
case 1:
return digits.back();
default:
return digits.back() + ld(digits[isize(digits)-2]) / BASE;
}
}
ld approx() const {
return leading() * pow(BASE, isize(digits) - 1);
}
ld log_approx() const {
return log(leading()) * log(BASE) * (isize(digits) - 1);
}
ld approx_div(const bignum& b) const {
return leading() / b.leading() * pow(BASE, isize(digits) - isize(b.digits));
}
int approx_int() const {
if(isize(digits) > 1) return BASE;
if(digits.empty()) return 0;
return digits[0];
}
bool nonzero() { return approx_ld() != 0; }
bignum randomized_div(int x) const;
ld approx_ld() const {
ld res = 0;
for(int i=0; i<isize(digits); i++) res += digits[i] * pow(BASE, i);
return res;
}
long long approx_ll() const {
if(isize(digits) > 2) return BASE2;
if(digits.empty()) return 0;
if(isize(digits) == 1) return digits[0];
return digits[0] + digits[1] * (long long) BASE;
}
#if CAP_GMP
mpq_class as_mpq() const {
string s = get_str(999999);
string t;
for(char c: s) if(c != ' ') t += c;
return mpq_class(t);
}
#endif
friend inline bignum operator +(bignum a, const bignum& b) { a.addmul(b, 1); return a; }
friend inline bignum operator -(bignum a, const bignum& b) { a.addmul(b, -1); return a; }
};
#endif
bignum& bignum::operator +=(const bignum& b) {
int K = isize(b.digits);
if(K > isize(digits)) digits.resize(K);
int carry = 0;
for(int i=0; i<K || carry; i++) {
if(i >= isize(digits)) digits.push_back(0);
digits[i] += carry;
if(i < K) digits[i] += b.digits[i];
if(digits[i] >= BASE) {
digits[i] -= BASE;
carry = 1;
}
else carry = 0;
}
return *this;
}
bool bignum::operator < (const bignum& b) const {
if(isize(digits) != isize(b.digits))
return isize(digits) < isize(b.digits);
for(int i = isize(digits)-1; i>=0; i--)
if(digits[i] != b.digits[i])
return digits[i] < b.digits[i];
return false;
}
bignum bignum::randomized_div(int x) const {
bignum res = self;
long long carry = 0;
int K = isize(res.digits);
for(int i=K-1; i>=0; i--) {
carry *= BASE;
carry += digits[i];
// strange compiler buug:
// if I do / and %, function 'divmod' is called, and it complains on launch that divmod is unimplemented
res.digits[i] = int(carry / x);
carry -= res.digits[i] * (long long)(x);
}
while(isize(res.digits) && res.digits.back() == 0) res.digits.pop_back();
if(rand() % x < carry) res += 1;
return res;
}
void bignum::addmul(const bignum& b, int factor) {
int K = isize(b.digits);
if(K > isize(digits)) digits.resize(K);
int carry = 0;
for(int i=0; i<K || (carry > 0 || carry < -1) || (carry == -1 && i < isize(digits)); i++) {
if(i >= isize(digits)) digits.push_back(0);
long long l = digits[i];
l += carry;
if(i < K) l += b.digits[i] * factor;
carry = 0;
if(l >= BASE) carry = int(l / BASE);
if(l < 0) carry = -int((BASE-1-l) / BASE);
l -= carry * BASE;
digits[i] = int(l);
}
if(carry < 0) digits.back() -= BASE;
while(isize(digits) && digits.back() == 0) digits.pop_back();
}
EX bignum hrand(bignum b) {
bignum res;
int d = isize(b.digits);
while(true) {
res.digits.resize(d);
for(int i=0; i<d-1; i++) res.digits[i] = hrand(bignum::BASE);
res.digits.back() = hrand(b.digits.back() + 1);
if(res < b) return res;
}
}
EX void operator ++(bignum &b, int) {
int i = 0;
while(true) {
if(isize(b.digits) == i) { b.digits.push_back(1); break; }
else if(b.digits[i] == bignum::BASE-1) {
b.digits[i] = 0;
i++;
}
else {
b.digits[i]++;
break;
}
}
}
EX void operator --(bignum &b, int) {
int i = 0;
while(true) {
if(isize(b.digits) == i) { b.digits.push_back(bignum::BASE-1); break; }
else if(b.digits[i] == 0) {
b.digits[i] = bignum::BASE-1;
i++;
}
else {
b.digits[i]--;
break;
}
}
}
string bignum::get_str(int max_length) const {
if(digits.empty()) return "0";
string ret = its(digits.back());
for(int i=isize(digits)-2; i>=0; i--) {
if(isize(ret) > max_length && i) {
ret += XLAT(" (%1 more digits)", its(9 * (i+1)));
return ret;
}
ret += " ";
string val = its(digits[i]);
while(isize(val) < 9) val = "0" + val;
ret += val;
}
return ret;
}
EX string short_form(bignum b) {
if(b < 0) return "-" + short_form(0-b);
else if(b < 100000) return its(b.approx_int());
else {
long long val;
int q;
if(isize(b.digits) >= 2) {
q = max(isize(b.digits) - 2, 0);
val = b.digits[q] + (long long)(bignum::BASE) * b.digits[q+1];
}
else {
q = 0;
val = b.digits[0];
}
int digits = q * 9;
while(val >= 1000) { val /= 10; digits++; }
string str = its(int(val)) + "E" + its(digits + 2);
str.insert(1, ".");
return str;
}
}
bignum::bignum(ld d) {
if(d == 0) return;
int n = 1;
while(d > BASE) d /= BASE, n++;
digits.resize(n);
n--;
while(n >= 0) { digits[n] = int(d); d -= digits[n]; d *= BASE; n--; }
}
/** in s, replace occurences of a with b */
EX void replace_str(string& s, string a, string b) {
while(s.find(a) != string::npos)
s.replace(s.find(a), isize(a), b);
}
#if CAP_ZLIB
/* compression/decompression */
EX string compress_string(string s) {
z_stream strm;
strm.zalloc = Z_NULL;
strm.zfree = Z_NULL;
strm.opaque = Z_NULL;
println(hlog, "pre init");
auto ret = deflateInit(&strm, 9);
if(ret != Z_OK) throw hr_exception("z-error");
println(hlog, "init ok");
strm.avail_in = isize(s);
strm.next_in = (Bytef*) &s[0];
vector<char> buf(10000000, 0);
strm.avail_out = 10000000;
strm.next_out = (Bytef*) &buf[0];
if(deflate(&strm, Z_FINISH) != Z_STREAM_END) throw hr_exception("z-error-2");
println(hlog, "deflate ok");
string out(&buf[0], (char*)(strm.next_out) - &buf[0]);
deflateEnd(&strm);
println(hlog, isize(s), " -> ", isize(out));
return out;
}
EX string decompress_string(string s) {
z_stream strm;
strm.zalloc = Z_NULL;
strm.zfree = Z_NULL;
strm.opaque = Z_NULL;
auto ret = inflateInit(&strm);
if(ret != Z_OK) throw hr_exception("z-error");
strm.avail_in = isize(s);
strm.next_in = (Bytef*) &s[0];
vector<char> buf(10000000, 0);
strm.avail_out = 10000000;
strm.next_out = (Bytef*) &buf[0];
if(inflate(&strm, Z_FINISH) != Z_STREAM_END) throw hr_exception("z-error-2");
string out(&buf[0], (char*)(strm.next_out) - &buf[0]);
inflateEnd(&strm);
println(hlog, isize(s), " -> ", isize(out));
return out;
}
#endif
EX bool file_exists(string fname) {
return access(fname.c_str(), F_OK) != -1;
}
/** find a file named s, possibly in HYPERPATH */
EX string find_file(string s) {
string s1;
if(file_exists(s)) return s;
char *p = getenv("HYPERPATH");
if(p && file_exists(s1 = s0 + p + s)) return s1;
if(file_exists(s1 = HYPERPATH + s)) return s1;
#ifdef FHS
if(file_exists(s1 = "/usr/share/hyperrogue/" + s)) return s1;
#endif
return s;
}
EX void open_url(string s) {
#if ISWEB
EM_ASM_({
window.open(UTF8ToString($0, 1000));
}, s.c_str());
#else
#ifdef WINDOWS
ShellExecute(0, 0, s.c_str(), 0, 0, SW_SHOW);
#endif
#ifdef LINUX
ignore(system(("xdg-open "+s).c_str()));
#endif
#ifdef MAC
ignore(system(("open "+s).c_str()));
#endif
#endif
}
const char *urlhex = "0123456789ABCDEF";
EX void open_wiki(const char *title) {
// Since "Crossroads" is ambiguous, we use the direct link to Crossroads I.
if (!strcmp(title, "Crossroads")) {
title = "Crossroads (Land)";
}
string url = "https://hyperrogue.miraheze.org/wiki/";
unsigned char c;
for (size_t i = 0; (c = title[i]); ++i) {
if (('0' <= c && c <= '9') || ('a' <= c && c <= 'z') || ('A' <= c && c <= 'Z') || c == '_' || c == '-')
url += c;
else if (c == ' ')
url += "_";
else
url += string("%") + urlhex[c/16] + urlhex[c%16];
}
open_url(url);
}
EX string read_file_as_string(string fname) {
string buf;
#if ISANDROID || ISIOS
buf = get_asset(fname);
#else
FILE *f = fopen(fname.c_str(), "rb");
if(!f) f = fopen((rsrcdir + fname).c_str(), "rb");
buf.resize(1000000);
int qty = fread(&buf[0], 1, 1000000, f);
buf.resize(qty);
fclose(f);
#endif
return buf;
}
EX string eval_programmable_string(const string& fmt) {
try {
exp_parser ep;
ep.s = fmt;
string out;
while(ep.at < (int) fmt.size()) {
if(ep.eat("$(")) {
auto res = ep.parse();
if(ep.eat(",")) {
int prec = ep.iparse();
std::stringstream str;
str.precision(prec);
str << std::fixed;
if(prec) str << std::showpoint;
str << real(res);
if(imag(res)) str << "+i" << imag(res);
out += str.str();
}
else {
out += fts(real(res));
if(imag(res)) out += "+i" + fts(imag(res));
}
ep.force_eat(")");
}
else out += ep.eatchar();
}
return out;
}
catch(hr_parse_exception& ex) {
return fmt;
}
}
EX void floyd_warshall(vector<vector<char>>& v) {
int N = isize(v);
for(int k=0; k<N; k++)
for(int i=0; i<N; i++)
for(int j=0; j<N; j++)
v[i][j] = min<int>(v[i][j], v[i][k] + v[k][j]);
}
}
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