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hyperrogue/rogueviz/ads/ds-game.cpp

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namespace hr {
namespace ads_game {
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void print(hstream& hs, cross_result cr) { print(hs, cr.h, "@", cr.shift); }
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void init_textures();
void draw_textures();
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vector<ld> shape_disk;
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void set_default_keys();
/* In DS, we also use ads_matrix, but the meaning of the shift parameter is different:
*
*/
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vector<unique_ptr<ads_object>> rocks;
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struct rock_generator {
ld cshift;
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ads_object* add(transmatrix T) {
auto r = std::make_unique<ads_object> (oRock, nullptr, ads_matrix(T, cshift), 0xFFFFFFFF);
r->shape = &shape_disk;
auto res = &*r;
rocks.emplace_back(std::move(r));
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return res;
};
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void report(string s) {
println(hlog, lalign(10, format(tformat, cshift/ds_time_unit)), ": ", s);
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};
ld rand_range(ld a, ld b) { return lerp(a, b, randd()); };
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transmatrix rand_place() {
geometry = gSphere;
hyperpoint h = random_spin3() * C0;
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transmatrix T = gpushxto0(h);
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geometry = gSpace435;
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for(int i=0; i<4; i++) T[i][3] = T[3][i] = i == 3;
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return T;
};
void death_cross(int qty) {
ld rapidity = rand_range(1, 3);
cshift += rand_range(0.5, 1);
ld alpha = randd() * TAU;
report(lalign(0, "Death Cross ", qty));
for(int a=0; a<qty; a++)
add(spin(a * TAU / qty + alpha) * lorentz(0, 3, rapidity));
cshift += rand_range(0.5, 1);
}
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void static_starry_field() {
cshift += rand_range(1, 2);
report("Static Starry Field");
for(int i=0; i<100; i++) {
transmatrix T = rand_place();
add(inverse(T));
}
cshift += rand_range(1, 2);
}
void chaotic_starry_field() {
cshift += rand_range(2, 3);
report("Chaotic Starry Field");
for(int i=0; i<50; i++) {
transmatrix T = rand_place();
add(inverse(T) * spin(randd() * TAU) * lorentz(0, 3, rand_range(0, 3)));
}
cshift += rand_range(2, 3);
}
/* that pattern does not work */
void death_spiral() {
cshift += rand_range(2, 3) + 1.5;
report("Death Spiral");
for(int i=0; i<30; i++) {
add(spin(i * TAU * 14 / 30) * lorentz(0, 3, exp((i-15)/5.)));
}
cshift += rand_range(2, 3);
}
transmatrix div_matrix() {
/* we need to find the limit of this as appr -> inf */
ld appr = 5;
transmatrix T = lorentz(2, 3, -appr) * cspin(0, 2, exp(-appr)) * lorentz(2, 3, appr);
/* all the entries happen to be multiples of .125 */
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for(int i=0; i<4; i++) for(int j=0; j<4; j++) {
auto& b = T[i][j];
b = floor(b * 8 + .5) / 8;
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}
return T;
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}
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/* see div_matrix */
transmatrix conv_matrix() {
ld appr = 5;
transmatrix T = lorentz(2, 3, appr) * cspin(0, 2, exp(-appr)) * lorentz(2, 3, -appr);
for(int i=0; i<4; i++) for(int j=0; j<4; j++) {
auto& b = T[i][j];
b = floor(b * 8 + .5) / 8;
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}
return T;
}
void divergent_spiral() {
report("Divergent Spiral");
cshift += rand_range(.3, .7);
ld alpha = randd() * TAU;
ld step = rand_range(0.17, 0.23);
for(int i=0; i<45; i++) {
cshift += step;
add(spin(alpha + i * TAU / 30) * div_matrix());
}
cshift += rand_range(.3, .7);
}
void convergent_spiral() {
report("Convergent Spiral");
cshift += rand_range(.3, .7);
ld alpha = randd() * TAU;
ld step = rand_range(0.17, 0.23);
for(int i=0; i<45; i++) {
cshift += step;
add(spin(alpha + i * TAU / 30) * conv_matrix());
}
cshift += rand_range(.3, .7);
}
void rack() {
report("Rack");
int qty = 3 + rand() % 4;
ld rapidity = rand_range(1, 3);
ld step = rand_range(.45, .75) * ds_scale;
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ld alpha = rand_range(0, TAU);
ld spinv = rand_range(0, TAU);
for(int i=0; i<qty; i++) {
cshift ++;
for(ld j=-3; j<=3; j++) {
add(spin(alpha + i * spinv) * cspin(0, 2, j * step) * spin90() * lorentz(0, 3, rapidity));
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}
}
}
void hyperboloid() {
report("Hyperboloid");
ld alpha = randd() * TAU;
ld range1 = rand_range(0.15, 0.25) * ds_scale;
ld range2 = rand_range(0.35, 0.45) * ds_scale;
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cshift += rand_range(2, 3);
ld rapidity = rand_range(-3, 3);
int qty = 20 + rand() % 10;
for(int i=0; i<qty; i++)
add(spin(alpha) * cspin(0, 2, range1) * spin(i * TAU / qty) * cspin(0, 2, range2) * lorentz(1, 3, rapidity));
cshift += rand_range(2, 3);
}
void machinegun() {
report("Machinegun");
ld alpha = randd() * TAU;
int qty = 10 + 1 / (.05 + randd());
ld rapidity = rand_range(3, 6);
ld step = rand_range(0.1, 0.15);
for(int i=0; i<qty; i++) {
cshift += step;
add(spin(alpha) * lorentz(1, 3, rapidity));
}
}
void add_random() {
int r = rand() % 150;
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#define Chance(q) if(r < 0) return; r -= (q); if(r < 0)
Chance(10) death_cross(4);
Chance(10) death_cross(3);
Chance(10) static_starry_field();
Chance(10) chaotic_starry_field();
Chance(10) divergent_spiral();
Chance(10) convergent_spiral();
Chance(10) rack();
Chance(10) hyperboloid();
Chance(10) machinegun();
#undef Chance
}
void add_until(ld t) {
while(cshift < t) add_random();
}
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void add_rsrc_until(ld t) {
while(cshift < t) {
ld rapidity = rand_range(0, 3);
ld step = rand_range(.2, .5);
ld alpha = rand_range(0, TAU);
cshift += rand_range(0.5, 1) * (1 + cshift / 10);
auto r = add(spin(alpha) * cspin(0, 2, step) * spin90() * lorentz(0, 3, rapidity));
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eResourceType rt = eResourceType(2 + rand() % 4);
if(rt == rtGold) rt = rtHull;
r->type = oResource;
r->resource = rt;
r->shape = rsrc_shape[rt];
r->col = rsrc_color[rt];
}
}
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};
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rock_generator rockgen, rsrcgen;
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auto future_shown = 5 * TAU;
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void init_ds_game() {
dynamicval<eGeometry> g(geometry, gSpace435);
rockgen.cshift = 0;
rsrcgen.cshift = 0;
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/* create the main rock first */
main_rock = rockgen.add(Id);
main_rock->col = 0xFFD500FF;
main_rock->type = oMainRock;
main_rock = rockgen.add(Id);
main_rock->col = 0xFF;
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main_rock->shape = &shape_gold;
main_rock->type = oMainRock;
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/* also create shape_disk */
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shape_disk.clear();
for(int d=0; d<=360; d += 15) {
shape_disk.push_back(sin(d*degree) * 0.1 * ds_scale);
shape_disk.push_back(cos(d*degree) * 0.1 * ds_scale);
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}
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rockgen.cshift += 2;
rockgen.add_until(future_shown);
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rsrcgen.cshift += 1;
rsrcgen.add_rsrc_until(future_shown);
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}
void ds_gen_particles(int qty, transmatrix from, ld shift, color_t col, ld spd, ld t, ld spread = 1) {
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for(int i=0; i<qty; i++) {
auto r = std::make_unique<ads_object>(oParticle, nullptr, ads_matrix(from * spin(randd() * TAU * spread) * lorentz(0, 3, (.5 + randd() * .5) * spd), shift), col );
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r->shape = &shape_particle;
r->life_end = randd() * t;
r->life_start = 0;
rocks.emplace_back(std::move(r));
}
}
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void ds_crash_ship() {
if(ship_pt < invincibility_pt) return;
common_crash_ship();
dynamicval<eGeometry> g(geometry, gSpace435);
ds_gen_particles(rpoisson(crash_particle_qty * 2), inverse(current.T) * spin(ang*degree), current.shift, rsrc_color[rtHull], crash_particle_rapidity, crash_particle_life);
}
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void ds_handle_crashes() {
if(paused) return;
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dynamicval<eGeometry> g(geometry, gSphere);
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vector<ads_object*> dmissiles;
vector<ads_object*> drocks;
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vector<ads_object*> dresources;
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for(auto m: displayed) {
if(m->type == oMissile)
dmissiles.push_back(m);
if(m->type == oRock || m->type == oMainRock)
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drocks.push_back(m);
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if(m->type == oResource)
dresources.push_back(m);
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}
for(auto m: dmissiles) {
hyperpoint h = kleinize(m->pt_main.h);
for(auto r: drocks) {
if(pointcrash(h, r->pts)) {
m->life_end = m->pt_main.shift;
if(r->type != oMainRock)
r->life_end = r->pt_main.shift;
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dynamicval<eGeometry> g(geometry, gSpace435);
ds_gen_particles(rpoisson(crash_particle_qty), m->at.T * lorentz(2, 3, m->life_end), m->at.shift, missile_color, crash_particle_rapidity, crash_particle_life);
if(r->type != oMainRock)
ds_gen_particles(rpoisson(crash_particle_qty), r->at.T * lorentz(2, 3, r->life_end), r->at.shift, r->col, crash_particle_rapidity, crash_particle_life);
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playSound(nullptr, "hit-crush3");
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break;
}
}
}
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if(!game_over) for(int i=0; i<isize(shape_ship); i+=2) {
hyperpoint h = spin(ang*degree) * hpxyz(shape_ship[i] * ds_scale, shape_ship[i+1] * ds_scale, 1);
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for(auto r: drocks) {
if(pointcrash(h, r->pts)) ds_crash_ship();
}
for(auto r: dresources) {
if(pointcrash(h, r->pts)) {
r->life_end = r->pt_main.shift;
gain_resource(r->resource);
}
}
}
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}
void ds_fire() {
if(!pdata.ammo) return;
pdata.ammo--;
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playSound(nullptr, "fire");
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dynamicval<eGeometry> g(geometry, gSpace435);
transmatrix S0 = inverse(current.T) * spin(ang*degree);
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transmatrix S1 = S0 * lorentz(0, 3, ads_missile_rapidity);
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auto r = std::make_unique<ads_object> (oMissile, nullptr, ads_matrix(S1, current.shift), rsrc_color[rtAmmo]);
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r->shape = &shape_missile;
r->life_start = 0;
rocks.emplace_back(std::move(r));
}
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bool ds_turn(int idelta) {
multi::handleInput(idelta);
ld delta = idelta / 1000.;
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if(!(cmode & sm::NORMAL)) return false;
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ds_handle_crashes();
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auto& a = multi::actionspressed;
auto& la = multi::lactionpressed;
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if(a[16+4] && !la[16+4] && !paused) ds_fire();
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if(a[16+5] && !la[16+5]) switch_pause();
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if(a[16+6] && !la[16+6]) view_proper_times = !view_proper_times;
if(a[16+7] && !la[16+7]) auto_rotate = !auto_rotate;
if(a[16+8] && !la[16+8]) pushScreen(game_menu);
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if(true) {
dynamicval<eGeometry> g(geometry, gSpace435);
ld pt = delta * ds_simspeed;
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ld mul = read_movement();
ld dv = pt * ds_accel * mul;
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if(paused && a[16+11]) {
current.T = spin(ang*degree) * cspin(0, 2, mul*delta*-pause_speed) * spin(-ang*degree) * current.T;
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}
else {
current.T = spin(ang*degree) * lorentz(0, 3, -dv) * spin(-ang*degree) * current.T;
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}
if(!paused) {
pdata.fuel -= dv;
ds_gen_particles(rpoisson(dv*fuel_particle_qty), inverse(current.T) * spin(ang*degree+M_PI) * rots::uxpush(0.06 * ds_scale), current.shift, rsrc_color[rtFuel], fuel_particle_rapidity, fuel_particle_life, 0.02);
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}
ld tc = 0;
if(!paused) tc = pt;
else if(a[16+9]) tc = pt;
else if(a[16+10]) tc = -pt;
if(!paused && !game_over) {
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shipstate ss;
ss.at.T = inverse(current.T) * spin(ang*degree);
ss.at.shift = current.shift;
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ss.start = ship_pt;
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ss.current = current;
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ss.duration = pt;
ss.ang = ang;
history.emplace_back(ss);
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}
current.T = lorentz(3, 2, -tc) * current.T;
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auto& mshift = main_rock->pt_main.shift;
if(mshift) {
current.shift += mshift;
current.T = current.T * lorentz(2, 3, mshift);
mshift = 0;
}
fixmatrix(current.T);
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if(1) {
rockgen.add_until(current.shift + future_shown);
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rsrcgen.add_rsrc_until(current.shift + future_shown);
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}
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if(!paused) {
ship_pt += pt;
pdata.oxygen -= pt;
if(pdata.oxygen < 0) {
pdata.oxygen = 0;
game_over = true;
}
}
else view_pt += tc;
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if(a[16+4] && !la[16+4] && false) {
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if(history.size())
history.back().duration = HUGE_VAL;
current = random_spin3();
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}
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}
return true;
}
hyperpoint pov = point30(0, 0, 1);
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cross_result ds_cross0_cone(const transmatrix& T, ld which) {
ld a = T[2][2];
ld b = T[2][3];
// a * cosh(t) + b * sinh(t) = 1
// solution: t = log((1 +- sqrt(-a^2 + b^2 + 1))/(a + b))
ld underroot = (1+b*b-a*a);
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if(underroot < 1e-10) underroot = 0;
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if(underroot < 0) return cross_result { Hypc, 0};
ld underlog = (1 + which * sqrt(underroot)) / (a + b);
if(underlog < 0) return cross_result { Hypc, 0};
ld t = log(underlog);
cross_result res;
res.shift = t;
res.h = T * hyperpoint(0, 0, cosh(t), sinh(t));
if(abs(res.h[2] - 1) > .01) return cross_result{Hypc, 0};
res.h /= hypot_d(3, res.h);
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res.h[3] = 0;
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// res.h[2] = sqrt(1 - res.h[3] * res.h[3]); res.h[3] = 0;
return res;
}
cross_result ds_cross0_sim(const transmatrix& T) {
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// h = T * (0 0 cosh(t) sinh(t))
// T[3][2] * cosh(t) + T[3][3] * sinh(t) = 0
// T[3][2] + T[3][3] * tanh(t) = 0
ld tt = - T[3][2] / T[3][3];
if(tt < -1 || tt > 1) return cross_result{ Hypc, 0 };
cross_result res;
ld t = atanh(tt);
res.shift = t;
res.h = T * hyperpoint(0, 0, cosh(t), sinh(t));
return res;
}
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cross_result ds_cross0(const transmatrix& T) {
return which_cross ? ds_cross0_cone(T, which_cross) : ds_cross0_sim(T);
}
cross_result ds_cross0_light(transmatrix T) {
// h = T * (t 0 1 t); h[3] == 0
ld t = T[3][2] / -(T[3][0] + T[3][3]);
cross_result res;
res.shift = t;
res.h = T * hyperpoint(t, 0, 1, t);
return res;
}
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transmatrix tpt(ld x, ld y) {
return cspin(0, 2, x * ds_scale) * cspin(1, 2, y * ds_scale);
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}
// sometimes the result may be incorrect due to numerical precision -- don't show that then in this case
bool invalid(cross_result& res) {
ld val = sqhypot_d(3, res.h);
if(abs(val-1) > 1e-3 || isnan(val) || abs(res.h[3]) > 1e-3 || isnan(res.h[3])) return true;
return false;
}
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void view_ds_game() {
displayed.clear();
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bool hv = hyperbolic;
bool hvrel = among(pmodel, mdRelPerspective, mdRelOrthogonal);
sphereflip = hv ? Id : sphereflipped() ? MirrorZ : Id;
copyright_shown = "";
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if(!hv) draw_textures();
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if(1) {
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for(auto& r: rocks) {
auto& rock = *r;
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poly_outline = 0xFF;
if(rock.type == oMainRock) rock.at.shift = current.shift;
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if(rock.at.shift < current.shift - future_shown) continue;
if(rock.at.shift > current.shift + future_shown) continue;
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if(1) {
dynamicval<eGeometry> g(geometry, gSpace435);
transmatrix at = current.T * lorentz(2, 3, rock.at.shift - current.shift) * rock.at.T;
rock.pt_main = ds_cross0(at);
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if(invalid(rock.pt_main)) continue;
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if(rock.pt_main.shift < rock.life_start) continue;
if(rock.pt_main.shift > rock.life_end) continue;
transmatrix at1 = at * lorentz(2, 3, rock.pt_main.shift);
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rock.pts.clear();
auto& sh = *rock.shape;
bool bad = false;
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for(int i=0; i<isize(sh); i+=2) {
transmatrix at2 = at1 * tpt(sh[i], sh[i+1]);
auto cr1 = ds_cross0(at2);
if(invalid(cr1)) { bad = true; continue; }
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rock.pts.push_back(cr1);
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}
if(bad) continue;
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}
vector<hyperpoint> circle_flat;
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for(auto c: rock.pts) circle_flat.push_back(c.h / (1 + c.h[2]));
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ld area = 0;
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for(int i=0; i<isize(circle_flat)-1; i++)
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area += (circle_flat[i] ^ circle_flat[i+1]) [2];
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area += (circle_flat.back() ^ circle_flat[0]) [2];
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if(area > 0) continue;
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if(hv) {
ld t = rock.at.shift;
if(rock.type == oMainRock) t = floor(t / spacetime_step + .5) * spacetime_step;
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transmatrix at = current.T * lorentz(2, 3, t - current.shift) * rock.at.T;
for(int z0=-spacetime_qty; z0<=spacetime_qty; z0++) {
ld z = z0 * spacetime_step;
if(t-z < rock.life_start) continue;
if(t-z > rock.life_end) continue;
transmatrix at1 = at * lorentz(2, 3, z);
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if((at1 * pov) [2] < 0) continue;
auto& sh = *rock.shape;
for(int i=0; i<isize(sh); i+=2) {
hyperpoint h = hvrel ? tpt(sh[i], sh[i+1]) * pov: hpxy(sh[i], sh[i+1]);
curvepoint(h);
}
curvepoint_first();
color_t col = rock.col;
if(col == 0xFF) col = 0xFFD500FF;
if(col != 0xFFD500FF && !hvrel) part(col, 0) = part(col, 0) / 4;
queuecurve(shiftless(at1), col, 0, PPR::TRANSPARENT_WALL);
}
}
if(!hv) {
for(auto p: rock.pts) curvepoint(p.h);
queuecurve(shiftless(sphereflip), rock.col, rock.col, obj_prio[rock.type]);
}
if(pmodel == mdPerspective) {
for(auto p: rock.pts) curvepoint(p.h);
curvepoint_first();
color_t col = rock.col; part(col, 0) /= 2;
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queuecurve(shiftless(sphereflip), ghost_color, 0, obj_prio[rock.type]).flags |= POLY_NO_FOG;
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}
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if(view_proper_times && rock.type != oParticle) {
ld t = rock.pt_main.shift;
if(rock.type == oMainRock) t += current.shift;
string str = format(tformat, t / ds_time_unit);
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queuestr(shiftless(sphereflip * rgpushxto0(rock.pt_main.h)), .1, str, 0xFFFF00, 8);
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}
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if(rock.pt_main.h[2] > 0.1 && rock.life_end == HUGE_VAL) {
displayed.push_back(&rock);
}
}
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ld delta = paused ? 1e-4 : -1e-4;
if(paused) for(auto& ss: history) {
if(ss.at.shift < current.shift - 4 * TAU) continue;
if(ss.at.shift > current.shift + 4 * TAU) continue;
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auto& shape = shape_ship;
if(hv) {
for(int i=0; i<isize(shape); i+=2) {
hyperpoint h = hvrel ? tpt(shape[i], shape[i+1]) * pov: hpxy(shape[i], shape[i+1]);
curvepoint(h);
}
curvepoint_first();
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shiftmatrix S = shiftless(current.T * lorentz(2, 3, ss.at.shift - current.shift) * ss.at.T);
queuecurve(S, shipcolor, 0, PPR::TRANSPARENT_WALL);
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}
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dynamicval<eGeometry> g(geometry, gSpace435);
cross_result cr = ds_cross0(current.T * lorentz(2, 3, ss.at.shift - current.shift) * ss.at.T);
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if(cr.shift < delta) continue;
if(cr.shift > ss.duration + delta) continue;
transmatrix at = current.T * lorentz(2, 3, cr.shift) * ss.at.T;
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vector<hyperpoint> pts;
for(int i=0; i<isize(shape); i += 2) {
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transmatrix at1 = at * tpt(shape[i], shape[i+1]);
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pts.push_back(ds_cross0(at1).h);
}
geometry = g.backup;
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if(!hv) {
for(auto pt: pts) curvepoint(pt);
queuecurve(shiftless(sphereflip), 0xFF, shipcolor, PPR::MONSTER_FOOT);
}
if(pmodel == mdPerspective) {
for(auto pt: pts) curvepoint(pt);
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curvepoint_first();
queuecurve(shiftless(sphereflip), ghost_color, 0, PPR::MONSTER_FOOT).flags |= POLY_NO_FOG;
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}
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if(view_proper_times) {
string str = format(tformat, (cr.shift + ss.start) / ds_time_unit);
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queuestr(shiftless(sphereflip * rgpushxto0(cr.h)), .1, str, 0xC0C0C0, 8);
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}
}
if(!game_over && !paused) {
poly_outline = 0xFF;
if(ship_pt < invincibility_pt) {
ld u = (invincibility_pt-ship_pt) / ds_how_much_invincibility;
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poly_outline = gradient(shipcolor, rsrc_color[rtHull], 0, 0.5 + cos(5*u*TAU), 1);
}
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if(hv) {
auto& shape = shape_ship;
for(int i=0; i<isize(shape); i += 2) {
transmatrix at1 = tpt(shape[i], shape[i+1]);
curvepoint(ds_cross0(at1).h);
}
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curvepoint_first();
queuecurve(shiftless(sphereflip * spin(ang*degree)), ghost_color, 0, PPR::MONSTER_HAIR).flags |= POLY_NO_FOG;
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}
else {
queuepolyat(shiftless(sphereflip * spin(ang*degree)), make_shape(), shipcolor, PPR::MONSTER_HAIR);
}
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poly_outline = 0xFF;
if(view_proper_times) {
string str = format(tformat, ship_pt / ds_time_unit);
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queuestr(shiftless(sphereflip), .1, str, 0xFFFFFF, 8);
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}
}
if(paused && view_proper_times) {
string str = format(tformat, view_pt / ds_time_unit);
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queuestr(shiftless(sphereflip), .1, str, 0xFFFF00, 8);
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}
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if(paused && !game_over && !in_replay && !hv && !which_cross) {
vector<hyperpoint> pts;
int ok = 0, bad = 0;
for(int i=0; i<=360; i++) {
dynamicval<eGeometry> g(geometry, gSpace435);
auto h = inverse(current_ship.T) * spin(i*degree);
auto cr = ds_cross0_light(current.T * lorentz(2, 3, current_ship.shift - current.shift) * h);
pts.push_back(cr.h);
if(cr.shift > 0) ok++; else bad++;
}
for(auto h: pts) curvepoint(h);
queuecurve(shiftless(sphereflip), 0xFF0000C0, bad == 0 ? 0x00000060 : 0xFFFFFF10, PPR::SUPERLINE);
}
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}
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view_footer();
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}
void ds_restart() {
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if(in_spacetime()) {
switch_spacetime();
ds_restart();
switch_spacetime();
return;
}
main_rock = nullptr;
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if(true) {
dynamicval<eGeometry> g(geometry, gSpace435);
current = cspin(0, 2, 0.2 * ds_scale);
invincibility_pt = ds_how_much_invincibility;
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}
ship_pt = 0;
rocks.clear();
history.clear();
init_ds_game();
reset_textures();
pick_textures();
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init_rsrc();
}
void run_ds_game() {
stop_game();
set_geometry(gSphere);
start_game();
init_textures();
pick_textures();
ds_restart();
rogueviz::rv_hook(hooks_frame, 100, view_ds_game);
rogueviz::rv_hook(shmup::hooks_turn, 0, ds_turn);
rogueviz::rv_hook(hooks_prestats, 100, display_rsrc);
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rogueviz::rv_hook(hooks_handleKey, 0, handleKey);
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rogueviz::rv_hook(anims::hooks_anim, 100, replay_animation);
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}
auto ds_hooks =
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arg::add3("-ds-game", run_ds_game);
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}
}