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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 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);
}
// debug utilities
#if CAP_PROFILING
#define FRAMES 64
#define CATS 16
long long proftable[16][FRAMES];
int pframeid;
void profile_frame() {
pframeid++; pframeid %= FRAMES;
for(int t=0; t<16; t++) proftable[t][pframeid] = 0;
}
EX void profile_start(int t) { proftable[t][pframeid] -= getms(); }
EX void profile_stop(int t) { proftable[t][pframeid] += getms(); }
void profile_info() {
for(int t=0; t<16; t++) {
sort(proftable[t], proftable[t]+FRAMES);
if(proftable[t][FRAMES-1] == 0) continue;
long long sum = 0;
for(int f=0; f<FRAMES; f++) sum += proftable[t][f];
printf("Category %d: avg = %Ld, %Ld..%Ld..%Ld..%Ld..%Ld\n",
t, sum / FRAMES, proftable[t][0], proftable[t][16], proftable[t][32],
proftable[t][48], proftable[t][63]);
}
}
#endif
#if !CAP_PROFILING
#if HDR
#define profile_frame()
#define profile_start(t)
#define profile_stop(t)
#define profile_info()
#endif
#endif
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;
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]; }
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); }
cld parse(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;
}
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("edge(")) {
ld a = rparse(0);
force_eat(",");
ld b = rparse(0);
force_eat(")");
res = edge_of_triangle_with_angles(2*M_PI/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(extra_params.count("angleunit")) {
a *= extra_params["angleunit"];
b *= extra_params["angleunit"];
c *= extra_params["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(M_PI/2, M_PI/a, M_PI/b);
}
else if(eat("arcmedge(")) {
vector<int> vals;
vals.push_back(iparse(0));
while(true) {
skip_white();
if(eat(",")) vals.push_back(iparse(0));
else break;
}
force_eat(")");
arcm::archimedean_tiling test;
test.faces = vals;
test.compute_sum();
test.compute_geometry();
res = test.edgelength;
if(extra_params.count("distunit"))
res /= extra_params["distunit"];
}
else if(eat("regangle(")) {
cld edgelen = parse(0);
if(extra_params.count("distunit")) {
edgelen = edgelen * extra_params["distunit"];
}
force_eat(",");
ld edges = rparse(0);
force_eat(")");
ld alpha = M_PI / edges;
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;
while(result > 2 * M_PI) result -= 2 * M_PI;
if(result > M_PI) result = 2 * M_PI - result;
if(arb::legacy) {
res = M_PI - result;
if(extra_params.count("angleofs"))
res -= extra_params["angleofs"];
}
else
res = result;
if(extra_params.count("angleunit"))
res /= extra_params["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("wallif(")) {
cld val0 = parse(0);
force_eat(",");
cld val1 = parsepar();
if(real(extra_params["p"]) >= 3.5) res = val0;
else res = val1;
}
else if(eat("rgb(")) {
cld val0 = parse(0);
force_eat(",");
cld val1 = parse(0);
force_eat(",");
cld val2 = parsepar();
switch(int(real(extra_params["p"]) + .5)) {
case 1: res = val0; break;
case 2: res = val1; break;
case 3: res = val2; break;
default: res = 0;
}
}
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(extra_params.count(number)) res = extra_params[number];
else if(params.count(number)) res = params.at(number);
else if(number == "e") res = exp(1);
else if(number == "i") res = cld(0, 1);
else if(number == "p" || number == "pi") res = M_PI;
else if(number == "" && next() == '-') { at++; res = -parse(prio); }
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 == "step") res = hdist0(tC0(currentmap->adj(cwt.at, 0)));
else if(number == "mousey") res = mousey;
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;
else if(number[0] >= 'a' && number[0] <= 'z') throw hr_parse_exception("unknown value: " + number);
else { std::stringstream ss; res = 0; ss << number; ss >> res; }
}
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;
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;
}
EX ld parseld(const string& s) {
exp_parser ep;
ep.s = s;
return real(ep.parse());
}
EX string parser_help() {
return XLAT("Functions available: %1",
"(a)sin(h), (a)cos(h), (a)tan(h), exp, log, abs, re, im, conj, let(t=...,...t...), floor, frac, e, i, pi, s, ms, mousex, mousey, mousez, shot [1 if taking screenshot/animation], sqrt, to01, random, edge(7,3), regradius(7,3), ifp(a,v,w) [if positive]");
}
#if HDR
struct bignum {
static const int BASE = 1000000000;
static const 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--; }
}
#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 "z-error";
println(hlog, "init ok");
strm.avail_in = isize(s);
strm.next_in = (Bytef*) &s[0];
vector<char> buf(1000000, 0);
strm.avail_out = 1000000;
strm.next_out = (Bytef*) &buf[0];
if(deflate(&strm, Z_FINISH) != Z_STREAM_END) throw "z-error-2";
println(hlog, "deflate ok");
string out(&buf[0], (char*)(strm.next_out) - &buf[0]);
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 "z-error";
strm.avail_in = isize(s);
strm.next_in = (Bytef*) &s[0];
vector<char> buf(1000000, 0);
strm.avail_out = 1000000;
strm.next_out = (Bytef*) &buf[0];
if(inflate(&strm, Z_FINISH) != Z_STREAM_END) throw "z-error-2";
string out(&buf[0], (char*)(strm.next_out) - &buf[0]);
println(hlog, isize(s), " -> ", isize(out));
return out;
}
#endif
}
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