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getOptimalDirect.m
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167 lines (150 loc) · 4.52 KB
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%AB - goal segment
%O - ball position
%Q - robots positions
%R - robot radius
%k - ball speed divided by robot speed
function [optDir, quality] = getOptimalDirect(A, B, O, Q, R, k)
seg = getFreeSpaceSegments(A, B, O, Q, R);
if (size(seg, 1) == 0)
optDir = [0, 0];
quality = 0;
else
[optDir, quality] = getOptimalDirectOnSegment(A, B, seg(1, 1), seg(1, 2), O, Q, R, k);
for j = 2: size(seg, 1)
[dir, dirQuality] = getOptimalDirectOnSegment(A, B, seg(j, 1), seg(j, 2), O, Q, R, k);
if dirQuality < quality
optDir = dir;
quality = dirQuality;
end
end
end
end
function [dir, dirQuality] = getOptimalDirectOnSegment(A, B, l, r, O, Q, R, k)
v = B - A;
eps = 0.01;
if (r - l < eps)
dir = r * v + A - O;
dir = dir / norm(dir);
dirQuality = attackDirectQuality(dir / norm(dir), O, Q, R, k);
else
while r - l > eps
len = (r - l) / 3;
t1 = l + len;
t2 = r - len;
dir = t1 * v + A - O;
dir2 = t2 * v + A - O;
dir = dir / norm(dir);
dirQuality = attackDirectQuality(dir / norm(dir), O, Q, R, k);
if (dirQuality < attackDirectQuality(dir2 / norm(dir2), O, Q, R, k))
r = t2;
else
l = t1;
end
end
end
end
%function is calculate available segments of goal
%return format is array of segments,
%each segment presented in the basis B - A
function res = getFreeSpaceSegments(A, B, O, Q, R)
t = getOccupiedSegments(A, B, O, Q, R);
res = zeros(size(t, 1) + 1, 2);
if (numel(t) == 0)
res(1, 1) = 0;
res(1, 2) = 1;
else
resSize = 0;
nesting = 0;
prevBound = 0;
openPos = 1;
closePos = 1;
for j = 1: numel(t)
if (openPos <= size(t, 1) && (closePos > size(t, 1) || t(openPos, 1) <= t(closePos, 2)))
if (nesting == 0 && prevBound < t(openPos, 1))
resSize = resSize + 1;
res(resSize, 1) = prevBound;
res(resSize, 2) = t(openPos, 1);
end
nesting = nesting + 1;
openPos = openPos + 1;
else
prevBound = t(closePos, 2);
nesting = nesting - 1;
closePos = closePos + 1;
end
end
if (t(size(t, 1), 2) < 1)
resSize = resSize + 1;
res(resSize, 1) = t(size(t, 1), 2);
res(resSize, 2) = 1;
end
res = res(1: resSize, :);
end
end
function t = getOccupiedSegments(A, B, O, Q, R)
t = zeros(size(Q, 1), 2);
tSz = 0;
u = A - O;
v = B - O;
AB = B - A;
for j = 1: size(Q, 1)
pnts = GetTangentPoints(O(1), O(2), Q(j, 1), Q(j, 2), R);
intOA = numel(SegmentCircleIntersect(O(1), O(2), A(1), A(2), Q(j, 1), Q(j, 2), R)) > 0;
intOB = numel(SegmentCircleIntersect(O(1), O(2), B(1), B(2), Q(j, 1), Q(j, 2), R)) > 0;
[t1, t2] = getOccupiedSegment(pnts(1, :) - O, pnts(2, :) - O, u, v, AB, intOA, intOB);
if (t1 <= t2)
tSz = tSz + 1;
t(tSz, 1) = t1;
t(tSz, 2) = t2;
end
end
t = t(1: tSz, :);
t = sort(t);
end
function [t1, t2] = getOccupiedSegment(dir1, dir2, u, v, AB, intOA, intOB)
insDir1 = insideAngle(u, v, dir1);
insDir2 = insideAngle(u, v, dir2);
% t1 = vectMult(dir1, -u) / vectMult(dir1, AB);
% t2 = vectMult(dir2, -u) / vectMult(dir2, AB);
%
% if (t1 > t2)
% temp = t1;
% t1 = t2;
% t2 = temp;
% end
%
% t1 = max(t1, 0);
% t2 = min(t2, 1);
if intOA && intOB
%ïåðåêðûâàåò âñ¸
t1 = 0;
t2 = 1;
elseif ~insDir1 && ~insDir2
%íå ïåðåêðûâàåò íè÷åãî
t1 = 1;
t2 = 0;
elseif insDir1 && insDir2
%ïåðåêðûâàåò íåêîòîðûé îòðåçîê âíóòðè âîðîò
t1 = vectMult(dir1, -u) / vectMult(dir1, AB);
t2 = vectMult(dir2, -u) / vectMult(dir2, AB);
if (t1 > t2)
temp = t1;
t1 = t2;
t2 = temp;
end
t1 = max(t1, 0);
t2 = min(t2, 1);
else
%ïåðåðåêðûâàåò íåêîòîðûé îòðåçîê ïåðåñåêàþùèé âîðîòà
if ~insDir1
dir1 = dir2;
end
t1 = vectMult(dir1, -u) / vectMult(dir1, AB);
if intOA
t2 = t1;
t1 = 0;
else
t2 = 1;
end
end
end