X-Git-Url: http://git.xonotic.org/?a=blobdiff_plain;f=qcsrc%2Fcommon%2Fexplosion_equation.qc;fp=qcsrc%2Fcommon%2Fexplosion_equation.qc;h=3a18e8010028f3c5c3b7b14a77b7aad5cac57c95;hb=f8f76acce46b329e8a9335ac001589b3f32d1891;hp=4d5eb5a7ee65798c8b89fba13d19075b5a32167a;hpb=93eaab4d4fff741e5bd15c9b9c31562eafd5896c;p=xonotic%2Fxonotic-data.pk3dir.git diff --git a/qcsrc/common/explosion_equation.qc b/qcsrc/common/explosion_equation.qc index 4d5eb5a7e..3a18e8010 100644 --- a/qcsrc/common/explosion_equation.qc +++ b/qcsrc/common/explosion_equation.qc @@ -1,54 +1,63 @@ -vector explosion_calcpush_nomultiplier(vector explosion_v, vector target_v) +float explosion_calcpush_getmultiplier(vector explosion_v, vector target_v) { - // solution of the equations: - // v' = v + alpha vp // central hit - // m*v' + mp*vp' = m*v + mp*vp // conservation of momentum - // m*v'^2 + mp*vp'^2 = m*v^2 + mp*vp^2 // conservation of energy (ELASTIC hit) - // -> alpha = 0 // case 1: did not hit - // -> alpha = 2*mp*(vp^2 - vp.v) / ((m+mp) * vp^2) // case 2: did hit - // // non-elastic hits are somewhere between these two - - float alpha; - alpha = explosion_v * (explosion_v - target_v); + float a; + a = explosion_v * (explosion_v - target_v); - if(alpha <= 0) + if(a <= 0) // target is too fast to be hittable by this - return '0 0 0'; - - alpha /= (explosion_v * explosion_v); - // now alpha is a multiplier - // we know we can divide by this, or above alpha would be == 0 - - return - explosion_v * alpha; + return 0; + + a /= (explosion_v * explosion_v); + // we know we can divide by this, or above a would be == 0 + + return a; } #if 0 vector explosion_calcpush(vector explosion_v, float explosion_m, vector target_v, float target_m, float elasticity) { // solution of the equations: - // v' = v + alpha vp // central hit - // m*v' + mp*vp' = m*v + mp*vp // conservation of momentum - // m*v'^2 + mp*vp'^2 = m*v^2 + mp*vp^2 // conservation of energy (ELASTIC hit) - // -> alpha = 0 // case 1: did not hit - // -> alpha = 2*mp*(vp^2 - vp.v) / ((m+mp) * vp^2) // case 2: did hit - // // non-elastic hits are somewhere between these two + // v' = v + a vp // central hit + // m*v' + mp*vp' = m*v + mp*vp // conservation of momentum + // m*v'^2 + mp*vp'^2 = m*v^2 + mp*vp^2 // conservation of energy (ELASTIC hit) + // -> a = 0 // case 1: did not hit + // -> a = 2*mp*(vp^2 - vp.v) / ((m+mp) * vp^2) // case 2: did hit + // // non-elastic hits are somewhere between these two // this would be physically correct, but we don't do that - return explosion_calcpush_nomultiplier(explosion_v, target_v, + return explosion_v * explosion_calcpush_getmultiplier(explosion_v, target_v) * ( (1 + elasticity) * ( explosion_m ) / ( target_m + explosion_m ) - ); + ); // note: this factor is at least 0, at most 2 } #endif // simplified formula, tuned so that if the target has velocity 0, we get exactly the original force vector damage_explosion_calcpush(vector explosion_f, vector target_v, float speedfactor) { - if(speedfactor == 0) + // if below 1, the formulas make no sense (and would cause superjumps) + if(speedfactor < 1) return explosion_f; - return explosion_calcpush_nomultiplier(explosion_f * speedfactor, target_v) * (1.0 / speedfactor); + + float m; + +#if 0 + // find m so that + // speedfactor * (1 + e) * m / (1 + m) == 1 + m = 1 / ((1 + 0) * speedfactor - 1); + vector v; + v = explosion_calcpush(explosion_f * speedfactor, m, target_v, 1, 0); + // the factor we then get is: + // 1 + print(sprintf("MASS: %f\nv: %v -> %v\nENERGY BEFORE == %f + %f = %f\nENERGY AFTER >= %f\n", + m, + target_v, target_v + v, + target_v * target_v, m * explosion_f * speedfactor * explosion_f * speedfactor, target_v * target_v + m * explosion_f * speedfactor * explosion_f * speedfactor, + (target_v + v) * (target_v + v))); + return v; +#endif + return explosion_f * explosion_calcpush_getmultiplier(explosion_f * speedfactor, target_v) * (1.0 / speedfactor); }