X-Git-Url: https://de.git.xonotic.org/?a=blobdiff_plain;f=qcsrc%2Fserver%2Fg_damage.qc;h=2ba82251de5c95823ecdd66fca2073f3ac704e53;hb=f3f7d43d0e8249cd68bb51bff305568ed031b942;hp=7477e8e730577f7dedca8d3c7eeaaa25b9c6c31c;hpb=98517678e4e82b32bcdf0bfc0dbf6fbd2513f471;p=xonotic%2Fxonotic-data.pk3dir.git diff --git a/qcsrc/server/g_damage.qc b/qcsrc/server/g_damage.qc index 7477e8e73..2ba82251d 100644 --- a/qcsrc/server/g_damage.qc +++ b/qcsrc/server/g_damage.qc @@ -47,14 +47,13 @@ float checkrules_firstblood; float yoda; float damage_goodhits; float damage_gooddamage; -float headshot; -float damage_headshotbonus; // bonus multiplier for head shots, set to 0 after use .float dmg_team; .float teamkill_complain; .float teamkill_soundtime; .entity teamkill_soundsource; .entity pusher; +.float istypefrag; .float taunt_soundtime; @@ -85,15 +84,6 @@ float IsFlying(entity a) return 1; } -vector GetHeadshotMins(entity targ) -{ - return '-0.5 0 0' * PL_HEAD_x + '0 -0.5 0' * PL_HEAD_y + '0 0 1' * (targ.maxs_z - PL_HEAD_z); -} -vector GetHeadshotMaxs(entity targ) -{ - return '0.5 0 0' * PL_HEAD_x + '0 0.5 0' * PL_HEAD_y + '0 0 1' * targ.maxs_z; -} - void UpdateFrags(entity player, float f) { PlayerTeamScore_AddScore(player, f); @@ -130,17 +120,15 @@ void GiveFrags (entity attacker, entity targ, float f, float deathtype) PlayerScore_Add(targ, SP_DEATHS, 1); - if(g_arena || g_ca) - if(autocvar_g_arena_roundbased) - return; - if(targ != attacker) // not for suicides if(g_weaponarena_random) { // after a frag, exchange the current weapon (or the culprit, if detectable) by a new random weapon float culprit; culprit = DEATH_WEAPONOF(deathtype); - if(!culprit || !WEPSET_CONTAINS_EW(attacker, culprit)) + if(!culprit) + culprit = attacker.weapon; + else if(!WEPSET_CONTAINS_EW(attacker, culprit)) culprit = attacker.weapon; if(g_weaponarena_random_with_laser && culprit == WEP_LASER) @@ -216,11 +204,6 @@ void GiveFrags (entity attacker, entity targ, float f, float deathtype) } f = 0; } - else if(g_ctf) - { - if(g_ctf_ignore_frags) - f = 0; - } } attacker.totalfrags += f; @@ -231,10 +214,10 @@ void GiveFrags (entity attacker, entity targ, float f, float deathtype) string Obituary_ExtraFragInfo(entity player) // Extra fragmessage information { - string health_output; - string ping_output; - string handicap_output; - string output; + string health_output = string_null; + string ping_output = string_null; + string handicap_output = string_null; + string output = string_null; if(autocvar_sv_fraginfo && ((autocvar_sv_fraginfo == 2) || inWarmupStage)) { @@ -312,13 +295,13 @@ void LogDeath(string mode, float deathtype, entity killer, entity killed) void Send_KillNotification (string s1, string s2, string s3, float msg, float type) { - WriteByte(MSG_ALL, SVC_TEMPENTITY); - WriteByte(MSG_ALL, TE_CSQC_KILLNOTIFY); - WriteString(MSG_ALL, s1); - WriteString(MSG_ALL, s2); - WriteString(MSG_ALL, s3); - WriteShort(MSG_ALL, msg); - WriteByte(MSG_ALL, type); + WriteByte(MSG_BROADCAST, SVC_TEMPENTITY); + WriteByte(MSG_BROADCAST, TE_CSQC_KILLNOTIFY); + WriteString(MSG_BROADCAST, s1); + WriteString(MSG_BROADCAST, s2); + WriteString(MSG_BROADCAST, s3); + WriteShort(MSG_BROADCAST, msg); + WriteByte(MSG_BROADCAST, type); } // Function is used to send a generic centerprint whose content CSQC gets to decide (gentle version or not in the below cases) @@ -341,7 +324,7 @@ void Send_CSQC_KillCenterprint(entity e, string s1, string s2, float msg, float void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) { string s, a, msg; - float w, type; + float type; if (targ.classname == "player") { @@ -352,6 +335,8 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) { if (deathtype == DEATH_TEAMCHANGE || deathtype == DEATH_AUTOTEAMCHANGE) msg = ColoredTeamName(targ.team); // TODO: check if needed? + else + msg = ""; if(!g_cts) // no "killed your own dumb self" message in CTS Send_CSQC_KillCenterprint(targ, msg, "", deathtype, MSG_SUICIDE); @@ -363,6 +348,8 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) if (targ.killcount > 2) msg = ftos(targ.killcount); + else + msg = ""; if(teamplay && deathtype == DEATH_MIRRORDAMAGE) { if(attacker.team == COLOR_TEAM1) @@ -371,7 +358,7 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) deathtype = KILL_TEAM_BLUE; } - Send_KillNotification(s, msg, ftos(w), deathtype, MSG_SUICIDE); + Send_KillNotification(s, msg, "", deathtype, MSG_SUICIDE); } else if (attacker.classname == "player") { @@ -386,9 +373,10 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) Send_CSQC_KillCenterprint(attacker, s, "", type, MSG_KILL); - if (targ.killcount > 2) { + if (targ.killcount > 2) msg = ftos(targ.killcount); - } + else + msg = ""; if (attacker.killcount > 2) { msg = ftos(attacker.killcount); @@ -413,7 +401,7 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) PlayerStats_Event(targ, PLAYERSTATS_ACHIEVEMENT_FIRSTVICTIM, 1); } - if(targ.BUTTON_CHAT) { + if(targ.istypefrag) { Send_CSQC_KillCenterprint(attacker, s, Obituary_ExtraFragInfo(targ), KILL_TYPEFRAG, MSG_KILL); Send_CSQC_KillCenterprint(targ, a, Obituary_ExtraFragInfo(attacker), KILL_TYPEFRAGGED, MSG_KILL); } else { @@ -423,25 +411,19 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) attacker.taunt_soundtime = time + 1; - // TODO: fix this? - if (deathtype == DEATH_CUSTOM) + if (deathtype == DEATH_HURTTRIGGER && inflictor.message2 != "") + msg = inflictor.message2; + else if (deathtype == DEATH_CUSTOM) msg = deathmessage; else - msg = inflictor.message2; + msg = ""; if(strstrofs(msg, "%", 0) < 0) msg = strcat("%s ", msg, " by %s"); Send_KillNotification(a, s, msg, deathtype, MSG_KILL); - if(g_ctf && targ.flagcarried) - { - UpdateFrags(attacker, ctf_score_value("score_kill")); - PlayerScore_Add(attacker, SP_CTF_FCKILLS, 1); - GiveFrags(attacker, targ, 0, deathtype); // for logging - } - else - GiveFrags(attacker, targ, 1, deathtype); + GiveFrags(attacker, targ, 1, deathtype); if (targ.killcount > 2) { Send_KillNotification(s, ftos(targ.killcount), a, KILL_END_SPREE, MSG_SPREE); @@ -449,10 +431,7 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) attacker.killcount = attacker.killcount + 1; - if (attacker.killcount > 2) { - Send_KillNotification(a, ftos(attacker.killcount), "", KILL_SPREE, MSG_SPREE); - } - else if (attacker.killcount == 3) + if (attacker.killcount == 3) { Send_KillNotification(a, "", "", KILL_SPREE_3, MSG_SPREE); AnnounceTo(attacker, "03kills"); @@ -494,6 +473,9 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) AnnounceTo(attacker, "30kills"); PlayerStats_Event(attacker, PLAYERSTATS_ACHIEVEMENT_KILL_SPREE_30, 1); } + else if (attacker.killcount > 2) { + Send_KillNotification(a, ftos(attacker.killcount), "", KILL_SPREE, MSG_SPREE); + } LogDeath("frag", deathtype, attacker, targ); } } @@ -504,6 +486,8 @@ void Obituary (entity attacker, entity inflictor, entity targ, float deathtype) msg = inflictor.message; else if (deathtype == DEATH_CUSTOM) msg = deathmessage; + else + msg = ""; if(strstrofs(msg, "%", 0) < 0) msg = strcat("%s ", msg); @@ -637,21 +621,17 @@ void Damage (entity targ, entity inflictor, entity attacker, float damage, float if(autocvar_g_mirrordamage_virtual) { - vector v; - v = healtharmor_applydamage(attacker.armorvalue, autocvar_g_balance_armor_blockpercent, mirrordamage); - v_z = 0; // fteqcc sucks + vector v = healtharmor_applydamage(attacker.armorvalue, autocvar_g_balance_armor_blockpercent, mirrordamage); attacker.dmg_take += v_x; attacker.dmg_save += v_y; attacker.dmg_inflictor = inflictor; - mirrordamage = 0; + mirrordamage = v_z; // = 0, to make fteqcc stfu mirrorforce = 0; } if(autocvar_g_friendlyfire_virtual) { - vector v; - v = healtharmor_applydamage(targ.armorvalue, autocvar_g_balance_armor_blockpercent, damage); - v_z = 0; // fteqcc sucks + vector v = healtharmor_applydamage(targ.armorvalue, autocvar_g_balance_armor_blockpercent, damage); targ.dmg_take += v_x; targ.dmg_save += v_y; targ.dmg_inflictor = inflictor; @@ -757,15 +737,6 @@ void Damage (entity targ, entity inflictor, entity attacker, float damage, float damage = damage * autocvar_g_balance_selfdamagepercent; // Partial damage if the attacker hits himself } - // CTF: reduce damage/force - if(g_ctf) - if(targ == attacker) - if(targ.flagcarried) - { - damage = damage * autocvar_g_ctf_flagcarrier_selfdamage; - force = force * autocvar_g_ctf_flagcarrier_selfforce; - } - if(g_runematch) { // apply strength rune @@ -806,30 +777,6 @@ void Damage (entity targ, entity inflictor, entity attacker, float damage, float if(targ.takedamage == DAMAGE_AIM) if(targ != attacker) { - if(damage_headshotbonus > 0) - { - if(targ.classname == "player") - { - // HEAD SHOT: - // find height of hit on player axis - // if above view_ofs and below maxs, and also in the middle half of the bbox, it is head shot - vector headmins, headmaxs, org; - org = antilag_takebackorigin(targ, time - ANTILAG_LATENCY(attacker)); - headmins = org + GetHeadshotMins(targ); - headmaxs = org + GetHeadshotMaxs(targ); - if(trace_hits_box(railgun_start, railgun_end, headmins, headmaxs)) - { - deathtype |= HITTYPE_HEADSHOT; - } - } - else if(targ.classname == "turret_head") - { - deathtype |= HITTYPE_HEADSHOT; - } - if(deathtype & HITTYPE_HEADSHOT) - damage *= 1 + damage_headshotbonus; - } - entity victim; if((targ.vehicle_flags & VHF_ISVEHICLE) && targ.owner) victim = targ.owner; @@ -863,12 +810,7 @@ void Damage (entity targ, entity inflictor, entity attacker, float damage, float if(g_minstagib) if(victim.items & IT_STRENGTH) yoda = 1; - - if(deathtype & HITTYPE_HEADSHOT) - headshot = 1; } - if(g_ca) - PlayerScore_Add(attacker, SP_SCORE, damage * autocvar_g_ca_damage2score_multiplier); } } else @@ -980,16 +922,11 @@ void Damage (entity targ, entity inflictor, entity attacker, float damage, float float RadiusDamage_running; float RadiusDamage (entity inflictor, entity attacker, float coredamage, float edgedamage, float rad, entity ignore, float forceintensity, float deathtype, entity directhitentity) -// Returns total damage applies to creatures + // Returns total damage applies to creatures { entity targ; - float finaldmg; - float power; vector blastorigin; vector force; - vector diff; - vector center; - vector nearest; float total_damage_to_creatures; entity next; float tfloordmg; @@ -1012,18 +949,18 @@ float RadiusDamage (entity inflictor, entity attacker, float coredamage, float e total_damage_to_creatures = 0; if(deathtype != (WEP_HOOK | HITTYPE_SECONDARY | HITTYPE_BOUNCE)) // only send gravity bomb damage once - if(DEATH_WEAPONOF(deathtype) != WEP_TUBA) // do not send tuba damage (bandwidth hog) - { - force = inflictor.velocity; - if(vlen(force) == 0) - force = '0 0 -1'; - else - force = normalize(force); - if(forceintensity >= 0) - Damage_DamageInfo(blastorigin, coredamage, edgedamage, rad, forceintensity * force, deathtype, 0, attacker); - else - Damage_DamageInfo(blastorigin, coredamage, edgedamage, -rad, (-forceintensity) * force, deathtype, 0, attacker); - } + if(DEATH_WEAPONOF(deathtype) != WEP_TUBA) // do not send tuba damage (bandwidth hog) + { + force = inflictor.velocity; + if(vlen(force) == 0) + force = '0 0 -1'; + else + force = normalize(force); + if(forceintensity >= 0) + Damage_DamageInfo(blastorigin, coredamage, edgedamage, rad, forceintensity * force, deathtype, 0, attacker); + else + Damage_DamageInfo(blastorigin, coredamage, edgedamage, -rad, (-forceintensity) * force, deathtype, 0, attacker); + } stat_damagedone = 0; @@ -1034,6 +971,10 @@ float RadiusDamage (entity inflictor, entity attacker, float coredamage, float e if (targ != inflictor) if (ignore != targ) if(targ.takedamage) { + vector nearest; + vector diff; + float power; + // LordHavoc: measure distance to nearest point on target (not origin) // (this guarentees 100% damage on a touch impact) nearest = targ.WarpZone_findradius_nearest; @@ -1047,6 +988,7 @@ float RadiusDamage (entity inflictor, entity attacker, float coredamage, float e // print(ftos(power), "\n"); if (power > 0) { + float finaldmg; if (power > 1) power = 1; finaldmg = coredamage * power + edgedamage * (1 - power); @@ -1054,95 +996,125 @@ float RadiusDamage (entity inflictor, entity attacker, float coredamage, float e { float a; float c; - float hits; - float total; - float hitratio; vector hitloc; vector myblastorigin; + vector center; + myblastorigin = WarpZone_TransformOrigin(targ, blastorigin); - center = targ.origin + (targ.mins + targ.maxs) * 0.5; + // if it's a player, use the view origin as reference - if (targ.classname == "player") - center = targ.origin + targ.view_ofs; + center = CENTER_OR_VIEWOFS(targ); + force = normalize(center - myblastorigin); force = force * (finaldmg / coredamage) * forceintensity; - // test line of sight to multiple positions on box, - // and do damage if any of them hit - hits = 0; - if (targ.classname == "player") - total = ceil(bound(1, finaldmg, 50)); - else - total = ceil(bound(1, finaldmg/10, 5)); hitloc = nearest; - c = 0; - while (c < total) + + if(targ != directhitentity) { - //traceline(targ.WarpZone_findradius_findorigin, nearest, MOVE_NOMONSTERS, inflictor); - WarpZone_TraceLine(blastorigin, WarpZone_UnTransformOrigin(targ, nearest), MOVE_NOMONSTERS, inflictor); - if (trace_fraction == 1 || trace_ent == targ) + float hits; + float total; + float hitratio; + float mininv_f, mininv_d; + + // test line of sight to multiple positions on box, + // and do damage if any of them hit + hits = 0; + + // we know: max stddev of hitratio = 1 / (2 * sqrt(n)) + // so for a given max stddev: + // n = (1 / (2 * max stddev of hitratio))^2 + + mininv_d = (finaldmg * (1-tfloordmg)) / autocvar_g_throughfloor_damage_max_stddev; + mininv_f = (vlen(force) * (1-tfloorforce)) / autocvar_g_throughfloor_force_max_stddev; + + if(autocvar_g_throughfloor_debug) + print(sprintf("THROUGHFLOOR: D=%f F=%f max(dD)=1/%f max(dF)=1/%f", finaldmg, vlen(force), mininv_d, mininv_f)); + + total = 0.25 * pow(max(mininv_f, mininv_d), 2); + + if(autocvar_g_throughfloor_debug) + print(sprintf(" steps=%f", total)); + + if (targ.classname == "player") + total = ceil(bound(autocvar_g_throughfloor_min_steps_player, total, autocvar_g_throughfloor_max_steps_player)); + else + total = ceil(bound(autocvar_g_throughfloor_min_steps_other, total, autocvar_g_throughfloor_max_steps_other)); + + if(autocvar_g_throughfloor_debug) + print(sprintf(" steps=%f dD=%f dF=%f", total, finaldmg * (1-tfloordmg) / (2 * sqrt(total)), vlen(force) * (1-tfloorforce) / (2 * sqrt(total)))); + + for(c = 0; c < total; ++c) { - hits = hits + 1; - if (hits > 1) - hitloc = hitloc + nearest; - else - hitloc = nearest; + //traceline(targ.WarpZone_findradius_findorigin, nearest, MOVE_NOMONSTERS, inflictor); + WarpZone_TraceLine(blastorigin, WarpZone_UnTransformOrigin(targ, nearest), MOVE_NOMONSTERS, inflictor); + if (trace_fraction == 1 || trace_ent == targ) + { + ++hits; + if (hits > 1) + hitloc = hitloc + nearest; + else + hitloc = nearest; + } + nearest_x = targ.origin_x + targ.mins_x + random() * targ.size_x; + nearest_y = targ.origin_y + targ.mins_y + random() * targ.size_y; + nearest_z = targ.origin_z + targ.mins_z + random() * targ.size_z; } - nearest_x = targ.origin_x + targ.mins_x + random() * targ.size_x; - nearest_y = targ.origin_y + targ.mins_y + random() * targ.size_y; - nearest_z = targ.origin_z + targ.mins_z + random() * targ.size_z; - c = c + 1; + + nearest = hitloc * (1 / max(1, hits)); + hitratio = (hits / total); + a = bound(0, tfloordmg + (1-tfloordmg) * hitratio, 1); + finaldmg = finaldmg * a; + a = bound(0, tfloorforce + (1-tfloorforce) * hitratio, 1); + force = force * a; + + if(autocvar_g_throughfloor_debug) + print(sprintf(" D=%f F=%f\n", finaldmg, vlen(force))); } - nearest = hitloc * (1 / max(1, hits)); - hitratio = (hits / total); - a = bound(0, tfloordmg + (1-tfloordmg) * hitratio, 1); - finaldmg = finaldmg * a; - a = bound(0, tfloorforce + (1-tfloorforce) * hitratio, 1); - force = force * a; // laser force adjustments :P if(DEATH_WEAPONOF(deathtype) == WEP_LASER) { - if (targ == attacker) - { - vector vel; - - float force_zscale; - float force_velocitybiasramp; - float force_velocitybias; - - force_velocitybiasramp = autocvar_sv_maxspeed; - if(deathtype & HITTYPE_SECONDARY) - { - force_zscale = autocvar_g_balance_laser_secondary_force_zscale; - force_velocitybias = autocvar_g_balance_laser_secondary_force_velocitybias; - } - else - { - force_zscale = autocvar_g_balance_laser_primary_force_zscale; - force_velocitybias = autocvar_g_balance_laser_primary_force_velocitybias; - } - - vel = targ.velocity; - vel_z = 0; - vel = normalize(vel) * bound(0, vlen(vel) / force_velocitybiasramp, 1) * force_velocitybias; - force = - vlen(force) - * - normalize(normalize(force) + vel); - - force_z *= force_zscale; - } - else - { - if(deathtype & HITTYPE_SECONDARY) - { - force *= autocvar_g_balance_laser_secondary_force_other_scale; - } - else - { - force *= autocvar_g_balance_laser_primary_force_other_scale; - } - } + if (targ == attacker) + { + vector vel; + + float force_zscale; + float force_velocitybiasramp; + float force_velocitybias; + + force_velocitybiasramp = autocvar_sv_maxspeed; + if(deathtype & HITTYPE_SECONDARY) + { + force_zscale = autocvar_g_balance_laser_secondary_force_zscale; + force_velocitybias = autocvar_g_balance_laser_secondary_force_velocitybias; + } + else + { + force_zscale = autocvar_g_balance_laser_primary_force_zscale; + force_velocitybias = autocvar_g_balance_laser_primary_force_velocitybias; + } + + vel = targ.velocity; + vel_z = 0; + vel = normalize(vel) * bound(0, vlen(vel) / force_velocitybiasramp, 1) * force_velocitybias; + force = + vlen(force) + * + normalize(normalize(force) + vel); + + force_z *= force_zscale; + } + else + { + if(deathtype & HITTYPE_SECONDARY) + { + force *= autocvar_g_balance_laser_secondary_force_other_scale; + } + else + { + force *= autocvar_g_balance_laser_primary_force_other_scale; + } + } } //if (targ == attacker) @@ -1151,7 +1123,7 @@ float RadiusDamage (entity inflictor, entity attacker, float coredamage, float e // print(" finaldmg ", ftos(finaldmg), " force ", vtos(force)); // print(" (", ftos(a), ")\n"); //} - if(hits || tfloordmg || tfloorforce) + if(finaldmg || vlen(force)) { if(targ.iscreature) { @@ -1229,43 +1201,59 @@ float Fire_AddDamage(entity e, entity o, float d, float t, float dt) if(maxtime > mintime || maxdps > mindps) { + // Constraints: + + // damage we have right now mindamage = mindps * mintime; - maxdamage = mindamage + d; - - // interval [mintime, maxtime] * [mindps, maxdps] - // intersected with - // [mindamage, maxdamage] - // maximum of this! - - if(maxdamage >= maxtime * maxdps) - { - totaltime = maxtime; - totaldamage = maxtime * maxdps; - // this branch increases totaldamage if either t > mintime, or dps > mindps - } - else - { - // maxdamage is inside the interval! - // first, try to use mindps; only if this fails, increase dps as needed - totaltime = min(maxdamage / mindps, maxtime); // maxdamage / mindps >= mindamage / mindps = mintime - totaldamage = maxdamage; - // can totaldamage / totaltime be >= maxdps? - // max(mindps, maxdamage / maxtime) >= maxdps? - // we know maxdamage < maxtime * maxdps - // so it cannot be - - // this branch ALWAYS increases totaldamage, but requires maxdamage < maxtime * maxdps - } + // damage we want to get + maxdamage = mindamage + d; - // total conditions for increasing: - // maxtime > mintime OR maxdps > mindps OR maxtime * maxdps > maxdamage - // however: - // if maxtime = mintime, maxdps = mindps - // then: - // maxdamage = mindamage + d - // mindamage = mindps * mintime = maxdps * maxtime < maxdamage! - // so the last condition is not needed + // but we can't exceed maxtime * maxdps! + totaldamage = min(maxdamage, maxtime * maxdps); + + // LEMMA: + // Look at: + // totaldamage = min(mindamage + d, maxtime * maxdps) + // We see: + // totaldamage <= maxtime * maxdps + // ==> totaldamage / maxdps <= maxtime. + // We also see: + // totaldamage / mindps = min(mindamage / mindps + d, maxtime * maxdps / mindps) + // >= min(mintime, maxtime) + // ==> totaldamage / maxdps >= mintime. + + /* + // how long do we damage then? + // at least as long as before + // but, never exceed maxdps + totaltime = max(mintime, totaldamage / maxdps); // always <= maxtime due to lemma + */ + + // alternate: + // at most as long as maximum allowed + // but, never below mindps + totaltime = min(maxtime, totaldamage / mindps); // always >= mintime due to lemma + + // assuming t > mintime, dps > mindps: + // we get d = t * dps = maxtime * maxdps + // totaldamage = min(maxdamage, maxtime * maxdps) = min(... + d, maxtime * maxdps) = maxtime * maxdps + // totaldamage / maxdps = maxtime + // totaldamage / mindps > totaldamage / maxdps = maxtime + // FROM THIS: + // a) totaltime = max(mintime, maxtime) = maxtime + // b) totaltime = min(maxtime, totaldamage / maxdps) = maxtime + + // assuming t <= mintime: + // we get maxtime = mintime + // a) totaltime = max(mintime, ...) >= mintime, also totaltime <= maxtime by the lemma, therefore totaltime = mintime = maxtime + // b) totaltime = min(maxtime, ...) <= maxtime, also totaltime >= mintime by the lemma, therefore totaltime = mintime = maxtime + + // assuming dps <= mindps: + // we get mindps = maxdps. + // With this, the lemma says that mintime <= totaldamage / mindps = totaldamage / maxdps <= maxtime. + // a) totaltime = max(mintime, totaldamage / maxdps) = totaldamage / maxdps + // b) totaltime = min(maxtime, totaldamage / mindps) = totaldamage / maxdps e.fire_damagepersec = totaldamage / totaltime; e.fire_endtime = time + totaltime;