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-rw-r--r--advtrains/helpers.lua16
-rw-r--r--advtrains/lzb.lua125
-rw-r--r--advtrains/trainlogic.lua27
3 files changed, 35 insertions, 133 deletions
diff --git a/advtrains/helpers.lua b/advtrains/helpers.lua
index 9afe72d..c398025 100644
--- a/advtrains/helpers.lua
+++ b/advtrains/helpers.lua
@@ -398,22 +398,6 @@ function advtrains.decode_pos(pts)
return vector.new(dec(strx), dec(stry), dec(strz))
end
--- Solve quadratic equations (i.e. a*x^2 + b*x + c = 0)
-function advtrains.solve_quadratic_equation(a, b, c)
- if not (a and b and c) then return nil end
- if a == 0 then return {-c/b, -c/b} end -- avoid division by zero
- local delta = (b*b - 4*a*c)
- if delta < 0 then return {-b/2/a,-b/2/a} end -- ignore imaginary part
- return {((-b+math.sqrt(delta))/2/a),((-b-math.sqrt(delta))/2/a)}
-end
-
--- safe square root
--- Negative return values indicate imaginary numbers.
-function advtrains.safesqrt(a)
- if a >= 0 then return math.sqrt(a) end
- return 0 - math.sqrt(-a)
-end
-
--[[ Benchmarking code
local tdt = {}
local tlt = {}
diff --git a/advtrains/lzb.lua b/advtrains/lzb.lua
index 30d7972..2574c51 100644
--- a/advtrains/lzb.lua
+++ b/advtrains/lzb.lua
@@ -82,100 +82,36 @@ local function look_ahead(id, train)
end
---[[
-The .i element is the index at which LZB overrides the train control with the
-lever specified by the index value. The .v element is the speed at which the
-train control is taken over by LZB with the lever specified by the index. The .t
-element calculates the time needed for the train to reach the point where the
-control is taken over by LZB with the lever specified by the index. Unintialized
-.v and .t values indicate that the train has passed the point with the
-corresponding index. Note that thhe 0th item contains the data related to the
-LZB point itself, and not related to the emergency brake.
+--[[ Distance needed to accelerate for t (time) starting from v0 with acc. a:
+ at²
+s = v0 * t + ---
+ 2
]]
-function advtrains.lzb_map_entry(train, lzb)
- local ret = {[0]={},[1]={},[2]={},[3]={}}
- if not (train and lzb) then return ret end
- local ti = train.index
+function advtrains.lzb_get_limit_by_entry(train, lzb, dtime)
+ if not (type(lzb)=="table") then return nil end
+ local getacc = advtrains.get_acceleration
local v0 = train.velocity
local v1 = lzb.spd
- local a = advtrains.get_acceleration(train, train.lever)
- local s = (v1*v1-v0*v0)/2/advtrains.get_acceleration(train, 1)
- if v0 > 3 then s = s + params.ADD_FAST
- elseif v0 <=0 then s = s + params.ADD_STAND
- else s = s + params.ADD_SLOW
- end
- ret[0].i = lzb.idx
- ret[1].i = advtrains.path_get_index_by_offset(train, ret[0].i, -s)
- ret[2].i = advtrains.path_get_index_by_offset(train, ret[1].i, -params.ZONE_ROLL)
- ret[3].i = advtrains.path_get_index_by_offset(train, ret[2].i, -params.ZONE_HOLD)
- if a == 0 then ret[3].t = (ret[3].i)/v0
- else
- ret[3].t = advtrains.solve_quadratic_equation(a/2, v0, (ti-ret[3].i))
- if not ret[3].t then ret[3].t = 0
- else
- if ret[3].t[1]<0 then
- if ret[3].t[2]<0 then ret[3].t = ret[3].t[2]
- else ret[3].t = math.abs(math.max(ret[3].t[1], ret[3].t[2]))
- end
- else
- if ret[3].t[2]<0 then ret[3].t = ret[3].t[1]
- else ret[3].t = math.min(ret[3].t[1], ret[3].t[2])
- end
- end
- end
- end
- ret[3].v = (v0 + a*ret[3].t)
- if ret[3].v <= lzb.spd then ret[3].v = lzb.spd end -- Avoid devision by zero
- if ret[3].v > (train.max_speed or 10) then ret[3].v = train.max_speed or 0 end
- ret[2].v = ret[3].v
- ret[2].t = (ret[3].i-ret[2].i)/ret[3].v
- ret[1].t = advtrains.solve_quadratic_equation(advtrains.get_acceleration(train,2),ret[2].v,(ret[2].i-ret[1].i))
- if not ret[1].t then ret[1].t = 0
- else
- if ret[1].t[1]<0 then
- if ret[1].t[2]<0 then ret[1].t = ret[1].t[2]
- else ret[1].t = math.abs(math.max(ret[1].t[1], ret[1].t[2]))
- end
- else
- if ret[1].t[2]<0 then ret[1].t = ret[1].t[1]
- else ret[1].t = math.min(math.max(ret[1].t[1], ret[1].t[2]))
- end
- end
- end
- ret[1].v = (ret[2].v + advtrains.get_acceleration(train,2)*ret[1].t)
- if ret[1].v <= lzb.spd then ret[1].v = lzb.spd end
- ret[0].v = lzb.spd
- ret[0].t = (ret[0].v-ret[1].v)/advtrains.get_acceleration(train,1)
- return ret
-end
-
---[[
-advtrains.lzb_get_limit_by_entry - get the limit
-Returns a table contraining the speed and the acceleration limits
-]]
-function advtrains.lzb_get_limit_by_entry(train, lzb)
- local ret = {}
- local lzbmap = advtrains.lzb_map_entry(train, lzb)
- if not (lzbmap[3].i and lzbmap[2].i and lzbmap[1].i and lzbmap[0].i) then
- return {}
- elseif (lzbmap[3].i > train.index) then return {}
- elseif (lzbmap[2].i > train.index) then ret.lever = 3
- elseif (lzbmap[1].i > train.index) then ret.lever = 2
- else ret.lever = 1
- end
- if ret.lever == 3 then ret.velocity = lzbmap[3].v
- else
- local s = train.index - lzbmap[ret.lever].i
- local a = advtrains.get_acceleration(train, ret.lever)
- local v0 = lzbmap[ret.lever].v
- ret.velocity = math.abs(advtrains.safesqrt(2*a*s - v0*v0))
- end
- if ret.velocity < train.velocity -1 then ret.lever = ret.lever - 1 end
- return ret
+ local s = (v1*v1-v0*v0)/2/getacc(train,1)
+ local t = dtime or 0.2
+ local i = advtrains.path_get_index_by_offset(train, lzb.idx, -s)
+ if v0 > 3 then i = advtrains.path_get_index_by_offset(train, i, -params.ADD_FAST)
+ elseif v0 <= 0 then i = advtrains.path_get_index_by_offset(train, i, -params.ADD_STAND)
+ else i = advtrains.path_get_index_by_offset(train, i, -params.ADD_SLOW) end
+ i = advtrains.path_get_index_by_offset(train, i, -params.ZONE_ROLL)
+ i = advtrains.path_get_index_by_offset(train, i, -params.ZONE_HOLD)
+ if train.index + v0*t + getacc(train,4)*t*t/2 <= i then return 4 end
+ if train.index + v0*t <= i then return 3 end
+ i = advtrains.path_get_index_by_offset(train, i, params.ZONE_HOLD)
+ if train.index + v0*t + getacc(train,2)*t*t/2 <= i then return 2 end
+ i = advtrains.path_get_index_by_offset(train, i, params.ZONE_ROLL)
+ if train.index + v0*t + getacc(train,1)*t*t/2 <= i then return 1 end
+ return 0
end
-- Get next LZB restriction with the lowest speed restriction
-function advtrains.lzb_get_next(train)
+-- The return values include the LZB entry and the speed limit
+function advtrains.lzb_get_next(train,dtime)
if lever == 4 then return nil end
local lzb = train.lzb
local i = 1
@@ -199,16 +135,17 @@ function advtrains.lzb_get_next(train)
for _, it in ipairs(lzb.oncoming) do
local v1 = it.spd
if v1 and v1 <= v0 then
- local curlimit = advtrains.lzb_get_limit_by_entry(train, it)
- local retlimit = advtrains.lzb_get_limit_by_entry(train, ret)
if not ret then ret = it
- elseif not curlimit.velocity then
- elseif retlimit.velocity > curlimit.velocity then
- ret = it
+ else
+ local retlimit = advtrains.lzb_get_limit_by_entry(train,ret,dtime)
+ local curlimit = advtrains.lzb_get_limit_by_entry(train,ret,dtime)
+ if retlimit and retlimit > curlimit then ret=it
+ elseif retlimit == curlimit and it.idx < ret.idx then ret=it
+ end
end
end
end
- return ret
+ return ret,advtrains.lzb_get_limit_by_entry(train, ret,dtime)
end
local function invalidate(train)
diff --git a/advtrains/trainlogic.lua b/advtrains/trainlogic.lua
index c0c3888..c46d2d2 100644
--- a/advtrains/trainlogic.lua
+++ b/advtrains/trainlogic.lua
@@ -421,9 +421,9 @@ function advtrains.train_step_b(id, train, dtime)
train.lever = tmp_lever
--- 4a. Calculate movement ---
- local lzbnxt = advtrains.lzb_get_next(train)
- local lzblimit = advtrains.lzb_get_limit_by_entry(train, lzbnxt)
- local lzbmap = advtrains.lzb_map_entry(train, lzbnxt)
+ local lzbnxt,lzblever = advtrains.lzb_get_next(train,dtime)
+ if lzblever and lzblever < tmp_lever then tmp_lever = lzblever train.ctrl.lzb = true
+ else train.ctrl.lzb = false end
local a = advtrains.get_acceleration(train, tmp_lever)
local v0 = train.velocity
local v1 = a*dtime+v0
@@ -433,28 +433,9 @@ function advtrains.train_step_b(id, train, dtime)
if a == 0 then s = v1*dtime
else s = (v1*v1 - v0*v0)/2/a
end
- train.ctrl.lzb = nil
- if lzblimit.velocity and lzblimit.lever < train.lever then
- tmp_lever = lzblimit.lever
- while (lzbmap[tmp_lever].t > dtime) do
- tmp_lever = tmp_lever - 1
- end
- train.ctrl.lzb = tmp_lever
- a = advtrains.get_acceleration(train, tmp_lever)
- v0 = lzbmap[tmp_lever].v
- t = dtime - lzbmap[tmp_lever].t
- v1 = a*t+v0
- v1 = math.min(v1, (train.max_speed or 10))
- v1 = math.max(v1, 0)
- s = lzbmap[tmp_lever].i - train.index
- if a == 0 then s = s + v1*t
- else s = s + (v1*v1-v0*v0)/2/a
- end
- end
-- FIX: calculate the average acceleration, as if it is static, to avoid
-- weird wagon positions
- -- Since v0 might have been changed, we should use train.velocity instead.
- a = (v1 - train.velocity)/dtime
+ a = (v1 - v0)/dtime
--- 4b. Move train and update train properties ---
local pdist = train.path_dist[math.floor(train.index)] or 1
local distance = pdist == 0 and s or s / pdist