void checkRawAccess() {
Printf("Raw access+++++++++++++++++++++++++++\n");
VD data = { 0, 1, 1,
2, 3, 2,
1, 3, 2,
4, 2, 2};
Matrix m(3, data);
print(m);
double expected, test;
size_t rows = data.size() / 3;
// check read
for (int i = 0; i < rows; i++) {
for (int j = 0; j < 3; j++) {
expected = data[i * 3 + j];
test = m(i, j);
unitpp::assert_eq(spf("Expected value not equal to readen at row: %i, col: %i", i, j), test, expected);
}
}
// check write
int val = 0;
for (int i = 0; i < rows; i++) {
for (int j = 0; j < 3; j++) {
m(i, j) = val++;
}
}
VD testVector;
m.rowPackedCopy(testVector);
for (int i = 0; i < testVector.size(); i++) {
test = testVector[i];
unitpp::assert_eq(spf("Value found: %i, but was expected: %i", test, i), test, i);
}
}
double doExec() {
if (!loadTestData()) {
std::cerr << "Failed to load test data" << std::endl;
return -1;
}
//
// Start solution testing
//
double score = 0, sse;
int scenario = 0;
for (int i = 0; i < subsetsNum; i++) {
scenario = i % 3;
generateTestData(scenario, i);
VD res = test->predict(0, scenario, DTrain, DTest);
Assert(groundTruth.size() == res.size(), "Expected results count not equal to found. Expected: %lu, but found: %lu", groundTruth.size(), res.size());
sse = 0;
for (int j = 0; j < res.size(); j++) {
double e = res[j] - groundTruth[j];
sse += e * e;
}
// calculate score
double s = 1000000 * fmax(0, 1.0 - sse/sse0);
Printf("%i.) Score = %f, sse: %f, sse0: %f\n", i, s, sse, sse0);
score += s;
}
return score / subsetsNum;
}
int main() {
const int m = 4;
const int n = 3;
DOUBLE _A[m][n] = {
{ 6, -1, 0 },
{ -1, -5, 0 },
{ 1, 5, 1 },
{ -1, -5, -1 }
};
DOUBLE _b[m] = { 10, -4, 5, -5 };
DOUBLE _c[n] = { 1, -1, 0 };
VVD A(m);
VD b(_b, _b + m);
VD c(_c, _c + n);
for (int i = 0; i < m; i++) A[i] = VD(_A[i], _A[i] + n);
LPSolver solver(A, b, c);
VD x;
DOUBLE value = solver.Solve(x);
cerr << "VALUE: "<< value << endl;
cerr << "SOLUTION:";
for (size_t i = 0; i < x.size(); i++) cerr << " " << x[i];
cerr << endl;
return 0;
}
LPSolver(const VVD &A, const VD &b, const VD &c) :
m(b.size()), n(c.size()),
N(n + 1), B(m), D(m + 2, VD(n + 2)) {
for (int i = 0; i < m; i++) for (int j = 0; j < n; j++)
D[i][j] = A[i][j];
for (int i = 0; i < m; i++) { B[i] = n + i; D[i][n] = -1;
D[i][n + 1] = b[i]; }
for (int j = 0; j < n; j++) { N[j] = j; D[m][j] = -c[j]; }
N[n] = -1; D[m + 1][n] = 1; }
void MLComputeTest::dotProduct_benchmark_vector()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
MLCompute::dotProduct(data, data);
}
}
void MLComputeTest::correlation_benchmark_parallel()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
correlation_parallel(data, data);
}
}
void MLComputeTest::correlation_benchmark_alternative()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
correlation_helper(data, data);
}
}
void MLComputeTest::stdev_benchmark()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
MLCompute::stdev(data);
}
}
LPSolver(const VD &b, const VD &c) :
m(b.size()), n(c.size()), N(n+1), B(m), D(m+2, VD(n+2)) {
for (int i = 0; i < m; i++) for (int j = 0; j < n; j++) D[i][j] = AA[i][j];
for (int i = 0; i < m; i++) { B[i] = n+i; D[i][n] = -1; D[i][n+1] = b[i]; }
for (int j = 0; j < n; j++) { N[j] = j; D[m][j] = -c[j]; }
N[n] = -1; D[m+1][n] = 1;
/*for (int i = 0; i < m+2; i++) {
for (int j = 0; j < n+2; j++){ cout<<D[i][j]<<" ";}
cout<<endl;
}*/
}
int main() {
int n;
cin >> n;
VD arr(n+1);
for (int i = 0; i <= n; i++) cin >> arr[i];
VD ans = roots(poly(arr));
cout << ans.size() << endl;
for (int i = 0; i < ans.size(); i++) printf("%.4f\n", ans[i]);
return 0;
}
void MLComputeTest::min_benchmark()
{
VD data;
data.reserve(10000);
for (int i = 0; i < 10000; ++i) {
data.append(-10000 + qrand());
}
QBENCHMARK
{
MLCompute::min(data.size(), data.data());
}
}
VD generateVoronoi(int ** setPoints, int numberofPoints){
VD vd;
int i = 0;
for(i = 0; i < numberofPoints * 3; i+=3){
Site_2 p(Point_2((*setPoints)[i], (*setPoints)[i + 1]));
vd.insert(p);
}
return vd;
}
void set(VVD & A, VD & B, VD & C) {
n = C.size();
m = A.size();
left.resize(m);
up.resize(n);
pos.resize(n);
res.resize(n);
status = -2;
v = 0;
a = A;
b = B;
c = C;
}
void solve() {
for (int i = 0; i < n; i++)
up[i] = i;
for (int i = 0; i < m; i++)
left[i] = i + n;
while (1) {
int x = -1;
for (int i = 0; i < m; i++)
if (lt(b[i], 0) && (x == -1 || b[i] < b[x])) {
x = i;
}
if (x == -1) break;
int y = -1;
for (int j = 0; j < n; j++)
if (lt(a[x][j], 0)) {
y = j;
break;
}
if (y == -1) {
status = -1;
return;
assert(false); // no solution
}
pivot(x, y);
}
while (1) {
int y = -1;
for (int i = 0; i < n; i++)
if (lt(0, c[i]) && (y == -1 || (c[i] > c[y]))) {
y = i;
}
if (y == -1) break;
int x = -1;
for (int i = 0; i < m; i++) {
if (lt(0, a[i][y])) {
if (x == -1 || (b[i] / a[i][y] < b[x] / a[x][y])) {
x = i;
}
}
}
if (y == -1) {
status = 1;
return;
assert(false); // infinite solution
}
pivot(x, y);
}
res.assign(n, 0);
for (int i = 0; i < m; i++) {
if (left[i] < n) {
res[left[i]] = b[i];
}
}
status = 0;
}
VD roots(const poly &p) {
if (p.is_constant()) return VD(0);
VD critical_values = roots(p.derivative());
critical_values.push_back(1e6);
VD ans;
double lower = -1e6;
for (int i = 0; i < critical_values.size(); i++) {
double upper = critical_values[i];
if (sgn(p.eval(lower)) != sgn(p.eval(upper)))
ans.push_back(bisect(p, lower, upper));
lower = upper;
}
return ans;
}
double eval(double x) const {
double ans = 0;
for (int i = coeff.size() - 1; i >= 0; i--) {
ans *= x;
ans += coeff[i];
}
return ans;
}
void init(VD & t, int & n, PDD * p, PDD & a, PDD & b) {
t.clear();
double tmp;
for (int i = 0; i < n; ++i) {
scanf("%lf", &tmp);
t.PB(tmp);
}
std::sort(t.begin(), t.end());
t.erase(std::unique(t.begin(), t.end()), t.end());
n = t.size();
for (int i = 0; i < n; ++i) {
p[i] = at(a, b, t[i]);
}
}
virtual QStringList
formatFromPixelCoordinate( const VD & pix ) override
{
CARTA_ASSERT( pix.size() >= 2 );
QStringList res;
res.append( QString::number( pix[0] ) );
res.append( QString::number( pix[1] ) );
return res;
}
DotNode* GraphKMeans::getNextMean(const vector<DotNode*>& means, ConnectedDotGraph& g)
{
VD minDist;
for (int i = 0; i < (int)g.nodes.size(); i++)
{
double minD = 123456789.0;
for (int j = 0; j < (int)means.size(); j++)
{
double d = g.getShortestPath(g.nodes[i], means[j], true);
minD = min(minD, d);
}
minDist.push_back(Sqr2(minD));
}
int p = randWithProbability(minDist);
if (minDist[p] < 1e-6) return NULL;
return g.nodes[p];
}
void MLComputeTest::dotProduct_benchmark_arrays()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
MLCompute::dotProduct(data.size(), data.data(), data.data());
}
}
void MLComputeTest::dotProduct_benchmark_inner_product()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
std::inner_product(data.constBegin(), data.constEnd(), data.constBegin(), 0);
}
}
void MLComputeTest::mean_benchmark_alternative()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
(void)(std::accumulate(data.constBegin(), data.constEnd(), 0) / data.size());
}
}
double stdev_helper(const VD& data)
{
double sumsqr = std::inner_product(data.constBegin(), data.constEnd(), data.constBegin(), 0);
double sum = std::accumulate(data.constBegin(), data.constEnd(), 0);
const int ct = data.size();
return sqrt((sumsqr - sum * sum / ct) / (ct - 1));
}
double correlation_parallel(const VD& data1, const VD& data2)
{
if (data1.size() != data2.size())
return 0;
std::promise<corr_intermediate> sum1_promise;
std::future<corr_intermediate> sum1_future = sum1_promise.get_future();
std::thread sum1_thread(
correlation_parallel_helper,
data1.begin(), data1.end(),
std::move(sum1_promise));
std::promise<corr_intermediate> sum2_promise;
std::future<corr_intermediate> sum2_future = sum2_promise.get_future();
std::thread sum2_thread(
correlation_parallel_helper,
data2.begin(), data2.end(),
std::move(sum2_promise));
corr_intermediate itm1 = std::move(sum1_future.get());
corr_intermediate itm2 = std::move(sum2_future.get());
sum1_thread.join();
sum2_thread.join();
if (!itm1.stdev || !itm2.stdev)
return 0;
return std::inner_product(itm1.Y.constBegin(), itm1.Y.constEnd(), itm2.Y.constBegin(), 0);
}
vector<Item> fixItems(vector<Item>& curItems, int curRoadId)
{
vector<Item> goodItems;
VD sps;
int curTime = -1;
for (int i = 0; i < (int)curItems.size(); i++)
{
if ( curItems[i].time == curTime )
{
sps.push_back(curItems[i].speed);
}
else
{
if ( !sps.empty() )
goodItems.push_back(Item(curTime, MedianValue(sps)));
sps.clear();
sps.push_back(curItems[i].speed);
curTime = curItems[i].time;
}
}
if ( !sps.empty() )
goodItems.push_back(Item(curTime, MedianValue(sps)));
return goodItems;
}
int main(){
int n;
while(cin >> n and n){
vector<point> myGoats(n);
for(int i = 0; i < n; ++i){
double x,y;
cin >> x >> y;
myGoats[i] = (point(x,y));
}
map< int, pair<int,int> > At;
VD b;
VD c (n,1);
int cont = 0;
for(int i = 0; i < n; ++i){
for(int j = i + 1; j < n; ++j){
b.push_back(myGoats[i].dist2point(myGoats[j]));
At[cont].first = i;
At[cont].second = j;
cont += 1;
}
}
for(int i = 0; i < b.size(); ++i) for(int j = 0; j < n; ++j) AA[i][j] = 0;
for(int i = 0; i < b.size(); ++i){
AA[i][At[i].first] = 1;
AA[i][At[i].second] = 1;
}
VD x;
LPSolver mySolver = LPSolver( b, c);
double d = mySolver.Solve(x);
//double acum = 0.0;
//for(int i = 0; i < n; ++i) acum += x[i];
printf("%.2f\n", d);
}
return 0;
}
void MLComputeTest::sum_benchmark_accumulate()
{
VD data;
data.resize(10000);
std::iota(data.begin(), data.end(), 1);
QBENCHMARK
{
std::accumulate(data.constBegin(), data.constEnd(), 0);
}
}
MotionPlannerGraph*
MotionPlanner::init_graph(int island_idx)
{
if (this->graphs[island_idx + 1] == NULL) {
Polygons pp;
if (island_idx == -1) {
pp = this->outer;
} else {
pp = this->inner[island_idx];
}
MotionPlannerGraph* graph = this->graphs[island_idx + 1] = new MotionPlannerGraph();
// add polygon boundaries as edges
size_t node_idx = 0;
Lines lines;
for (Polygons::const_iterator polygon = pp.begin(); polygon != pp.end(); ++polygon) {
graph->nodes.push_back(polygon->points.back());
node_idx++;
for (Points::const_iterator p = polygon->points.begin(); p != polygon->points.end(); ++p) {
graph->nodes.push_back(*p);
double dist = graph->nodes[node_idx-1].distance_to(*p);
graph->add_edge(node_idx-1, node_idx, dist);
graph->add_edge(node_idx, node_idx-1, dist);
node_idx++;
}
polygon->lines(&lines);
}
// add Voronoi edges as internal edges
{
typedef voronoi_diagram<double> VD;
typedef std::map<const VD::vertex_type*,size_t> t_vd_vertices;
VD vd;
t_vd_vertices vd_vertices;
boost::polygon::construct_voronoi(lines.begin(), lines.end(), &vd);
for (VD::const_edge_iterator edge = vd.edges().begin(); edge != vd.edges().end(); ++edge) {
if (edge->is_infinite()) continue;
const VD::vertex_type* v0 = edge->vertex0();
const VD::vertex_type* v1 = edge->vertex1();
Point p0 = Point(v0->x(), v0->y());
Point p1 = Point(v1->x(), v1->y());
// contains() should probably be faster than contains(),
// and should it fail on any boundary points it's not a big problem
if (island_idx == -1) {
if (!this->outer.contains(p0) || !this->outer.contains(p1)) continue;
} else {
if (!this->inner[island_idx].contains(p0) || !this->inner[island_idx].contains(p1)) continue;
}
t_vd_vertices::const_iterator i_v0 = vd_vertices.find(v0);
size_t v0_idx;
if (i_v0 == vd_vertices.end()) {
graph->nodes.push_back(p0);
v0_idx = node_idx;
vd_vertices[v0] = node_idx;
node_idx++;
} else {
v0_idx = i_v0->second;
}
t_vd_vertices::const_iterator i_v1 = vd_vertices.find(v1);
size_t v1_idx;
if (i_v1 == vd_vertices.end()) {
graph->nodes.push_back(p1);
v1_idx = node_idx;
vd_vertices[v1] = node_idx;
node_idx++;
} else {
v1_idx = i_v1->second;
}
double dist = graph->nodes[v0_idx].distance_to(graph->nodes[v1_idx]);
graph->add_edge(v0_idx, v1_idx, dist);
}
}
return graph;
}
return this->graphs[island_idx + 1];
}
MotionPlannerGraph*
MotionPlanner::init_graph(int island_idx)
{
if (this->graphs[island_idx + 1] == NULL) {
// if this graph doesn't exist, initialize it
MotionPlannerGraph* graph = this->graphs[island_idx + 1] = new MotionPlannerGraph();
/* We don't add polygon boundaries as graph edges, because we'd need to connect
them to the Voronoi-generated edges by recognizing coinciding nodes. */
typedef voronoi_diagram<double> VD;
VD vd;
// mapping between Voronoi vertices and graph nodes
typedef std::map<const VD::vertex_type*,size_t> t_vd_vertices;
t_vd_vertices vd_vertices;
// get boundaries as lines
ExPolygonCollection env = this->get_env(island_idx);
Lines lines = env.lines();
boost::polygon::construct_voronoi(lines.begin(), lines.end(), &vd);
// traverse the Voronoi diagram and generate graph nodes and edges
for (VD::const_edge_iterator edge = vd.edges().begin(); edge != vd.edges().end(); ++edge) {
if (edge->is_infinite()) continue;
const VD::vertex_type* v0 = edge->vertex0();
const VD::vertex_type* v1 = edge->vertex1();
Point p0 = Point(v0->x(), v0->y());
Point p1 = Point(v1->x(), v1->y());
// skip edge if any of its endpoints is outside our configuration space
if (!env.contains_b(p0) || !env.contains_b(p1)) continue;
t_vd_vertices::const_iterator i_v0 = vd_vertices.find(v0);
size_t v0_idx;
if (i_v0 == vd_vertices.end()) {
graph->nodes.push_back(p0);
vd_vertices[v0] = v0_idx = graph->nodes.size()-1;
} else {
v0_idx = i_v0->second;
}
t_vd_vertices::const_iterator i_v1 = vd_vertices.find(v1);
size_t v1_idx;
if (i_v1 == vd_vertices.end()) {
graph->nodes.push_back(p1);
vd_vertices[v1] = v1_idx = graph->nodes.size()-1;
} else {
v1_idx = i_v1->second;
}
// Euclidean distance is used as weight for the graph edge
double dist = graph->nodes[v0_idx].distance_to(graph->nodes[v1_idx]);
graph->add_edge(v0_idx, v1_idx, dist);
}
return graph;
}
return this->graphs[island_idx + 1];
}
int main() {
int n;
scanf("%d", &n);
int cnt = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
scanf("%d", g[i]+j), to[i][j] = j, di[i][j] = g[i][j];
if (g[i][j] > 0) {
id[i][j] = cnt++;
}
}
}
for (int k = 0; k < n; ++k) {
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if (g[i][k] < 0 || g[k][j] < 0) continue;
if (g[i][j] < 0 || g[i][j] > g[i][k] + g[k][j]) {
g[i][j] = g[i][k] + g[k][j];
to[i][j] = to[i][k];
}
}
}
}
VVD A;
VD B;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if (di[i][j] <= 0) continue;
VD cur(cnt, 0);
cur[id[i][j]] = 1;
A.push_back(cur);
B.push_back(1 * di[i][j]);
}
}
int r;
scanf("%d", &r);
for (int i = 0; i < r; ++i) {
int s, d, t;
scanf("%d %d %d", &s, &d, &t);
t -= g[s][d];
VD cur(cnt, 0);
while (s != d) {
int v = to[s][d];
cur[id[s][v]] = 1;
s = v;
}
A.push_back(cur);
B.push_back(t + EPS);
for (int j = 0; j < cnt; ++j)
cur[j] *= -1;
A.push_back(cur);
B.push_back(-t + EPS);
}
int q;
scanf("%d", &q);
simplex solver;
for (int i = 0; i < q; ++i) {
int s, d;
scanf("%d %d", &s, &d);
LD low = g[s][d], up = g[s][d] * 2;
if (g[s][d] != 0) {
VD x(cnt), c(cnt);
int now = s;
while (now != d) {
int v = to[now][d];
c[id[now][v]] = 1;
now = v;
}
solver.set(A, B, c);
solver.solve();
if (solver.status == 0) up = solver.v + g[s][d];
for (int j = 0; j < cnt; ++j)
c[j] *= -1;
solver.set(A, B, c);
solver.solve();
if (solver.status == 0) low = -solver.v + g[s][d];
}
printf("%d %d %.20lf %.20lf\n", s, d, (double)low, (double)up);
}
return 0;
}