commit in quantile test
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@ -13,14 +13,14 @@
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namespace xgboost {
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namespace utils {
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/*!
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* \brief a helper class to compute streaming quantile
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* \brief experimental wsummary
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* \tparam DType type of data content
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* \tparam RType type of rank
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*/
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template<typename DType, typename RType=unsigned>
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class WQuantileSketch {
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public:
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template<typename DType, typename RType>
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struct WQSummary {
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/*! \brief an entry in the sketch summary */
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struct Entry {
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/*! \brief minimum rank */
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@ -32,27 +32,17 @@ class WQuantileSketch {
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/*! \brief the value of data */
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DType value;
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// constructor
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Entry(void) {
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rmin = rmax = wmin = 0.0;
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}
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Entry(void) {}
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// constructor
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Entry(RType rmin, RType rmax, RType wmin, DType value)
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: rmin(rmin), rmax(rmax), wmin(wmin), value(value) {
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if (!(this->rmax - this->rmin - this->wmin > -0.1)) {
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rmax = rmin + wmin;
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printf("correct\n");
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printf("rmax=%f, rmin=%f, wmin=%f, plus=%f, v=%f\n",
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rmax, rmin, wmin, rmin+wmin, value);
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}
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}
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/*! \brief debug function, check Valid */
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: rmin(rmin), rmax(rmax), wmin(wmin), value(value) {}
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/*!
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* \brief debug function, check Valid
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* \param eps the tolerate level for violating the relation
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*/
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inline void CheckValid(RType eps = 0) const {
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utils::Assert(rmin >= 0 && rmax >= 0 && wmin >= 0, "nonneg constraint");
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if (!(rmax - rmin - wmin > -eps)) {
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printf("rmax=%f, rmin=%f, wmin=%f, plus=%f, v=%f\n",
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rmax, rmin, wmin, rmin+wmin, value);
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}
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utils::Assert(rmax- rmin - wmin > -eps , "relation constraint: min/max");
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utils::Assert(rmax- rmin - wmin > -eps, "relation constraint: min/max");
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}
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/*! \return rmin estimation for v strictly bigger than value */
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inline RType rmin_next(void) const {
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@ -63,161 +53,222 @@ class WQuantileSketch {
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return rmax - wmin;
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}
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};
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/*!
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* \brief this is data structure presenting one summary
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*/
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struct Summary {
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/*! \brief data field */
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Entry *data;
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/*! \brief number of elements in the summary */
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size_t size;
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// constructor
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Summary(void) : size(0) {}
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/*!
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* \brief the maximum error of the Summary
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*/
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inline RType MaxError(void) const {
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RType res = data[0].rmax - data[0].rmin - data[0].wmin;
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for (size_t i = 1; i < size; ++i) {
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res = std::max(data[i].rmax_prev() - data[i - 1].rmin_next(), res);
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res = std::max(data[i].rmax - data[i].rmin - data[i].wmin, res);
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/*! \brief input data queue before entering the summary */
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struct Queue {
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// entry in the queue
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struct QEntry {
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// value of the instance
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DType value;
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// weight of instance
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RType weight;
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// default constructor
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QEntry(void) {}
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// constructor
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QEntry(DType value, RType weight)
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: value(value), weight(weight) {}
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// comparator on value
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inline bool operator<(const QEntry &b) const {
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return value < b.value;
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}
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};
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// the input queue
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std::vector<QEntry> queue;
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// end of the queue
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size_t qtail;
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// push data to the queue
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inline void Push(DType x, RType w) {
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if (qtail == 0 || queue[qtail - 1].value != x) {
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queue[qtail++] = QEntry(x, w);
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} else {
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queue[qtail - 1].weight += w;
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}
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return res;
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}
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/*!
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* \brief debug function, validate whether the summary
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* run consistency check to check if it is a valid summary
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* \param eps the tolerate error level, used when RType is floating point and
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* some inconsistency could occur due to rounding error
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*/
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inline void CheckValid(RType eps) const {
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for (size_t i = 0; i < size; ++i) {
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data[i].CheckValid(eps);
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if (i != 0) {
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utils::Assert(data[i].rmin >= data[i - 1].rmin + data[i - 1].wmin, "rmin range constraint");
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utils::Assert(data[i].rmax >= data[i - 1].rmax + data[i].wmin, "rmax range constraint");
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inline void MakeSummary(WQSummary *out) {
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std::sort(queue.begin(), queue.begin() + qtail);
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out->size = 0;
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// start update sketch
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RType wsum = 0;
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// construct data with unique weights
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for (size_t i = 0; i < qtail;) {
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size_t j = i + 1;
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RType w = queue[i].weight;
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while (j < qtail && queue[j].value == queue[i].value) {
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w += queue[j].weight; ++j;
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}
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out->data[out->size++] = Entry(wsum, wsum + w, w, queue[i].value);
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wsum += w; i = j;
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}
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}
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/*! \return maximum rank in the summary */
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inline RType MaxRank(void) const {
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return data[size - 1].rmax;
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}
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/*! \brief set size to 0 */
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inline void Clear(void) {
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size = 0;
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}
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/*! \brief used for debug purpose, print the summary */
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inline void Print(void) const {
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for (size_t i = 0; i < size; ++i) {
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printf("x=%f\t[%f, %f] wmin=%f\n",
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data[i].value,
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data[i].rmin,
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data[i].rmax,
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data[i].wmin);
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}
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}
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/*!
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* \brief copy content from src
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* \param src source sketch
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*/
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inline void CopyFrom(const Summary &src) {
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size = src.size;
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std::memcpy(data, src.data, sizeof(Entry) * size);
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}
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/*!
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* \brief set current summary to be pruned summary of src
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* assume data field is already allocated to be at least maxsize
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* \param src source summary
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* \param maxsize size we can afford in the pruned sketch
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*/
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inline void SetPrune(const Summary &src, RType maxsize) {
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if (src.size <= maxsize) {
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this->CopyFrom(src); return;
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}
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const RType max_rank = src.MaxRank();
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const size_t n = maxsize - 1;
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data[0] = src.data[0];
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this->size = 1;
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// lastidx is used to avoid duplicated records
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size_t i = 0, lastidx = 0;
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for (RType k = 1; k < n; ++k) {
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RType dx2 = (2 * k * max_rank) / n;
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// find first i such that d < (rmax[i+1] + rmin[i+1]) / 2
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while (i < src.size - 1 &&
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dx2 >= src.data[i + 1].rmax + src.data[i + 1].rmin) ++i;
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if (i == src.size - 1) break;
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if (dx2 < src.data[i].rmin_next() + src.data[i + 1].rmax_prev()) {
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if (i != lastidx) {
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data[size++] = src.data[i]; lastidx = i;
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}
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} else {
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if (i + 1 != lastidx) {
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data[size++] = src.data[i + 1]; lastidx = i + 1;
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}
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}
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}
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if (lastidx != src.size - 1) {
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data[size++] = src.data[src.size - 1];
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}
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}
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/*!
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* \brief set current summary to be merged summary of sa and sb
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* \param sa first input summary to be merged
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* \param sb second input summar to be merged
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*/
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inline void SetCombine(const Summary &sa,
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const Summary &sb) {
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utils::Assert(sa.size > 0 && sb.size > 0, "invalid input for merge");
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const Entry *a = sa.data, *a_end = sa.data + sa.size;
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const Entry *b = sb.data, *b_end = sb.data + sb.size;
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// extended rmin value
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RType aprev_rmin = 0, bprev_rmin = 0;
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Entry *dst = this->data;
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while (a != a_end && b != b_end) {
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// duplicated value entry
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if (a->value == b->value) {
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*dst = Entry(a->rmin + b->rmin,
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a->rmax + b->rmax,
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a->wmin + b->wmin, a->value);
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aprev_rmin = a->rmin_next();
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bprev_rmin = b->rmin_next();
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++dst; ++a; ++b;
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} else if (a->value < b->value) {
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*dst = Entry(a->rmin + bprev_rmin,
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a->rmax + b->rmax_prev(),
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a->wmin, a->value);
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aprev_rmin = a->rmin_next();
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++dst; ++a;
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} else {
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*dst = Entry(b->rmin + aprev_rmin,
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b->rmax + a->rmax_prev(),
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b->wmin, b->value);
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bprev_rmin = b->rmin_next();
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++dst; ++b;
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}
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}
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if (a != a_end) {
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RType brmax = (b_end - 1)->rmax;
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do {
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*dst = Entry(a->rmin + bprev_rmin, a->rmax + brmax, a->wmin, a->value);
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++dst; ++a;
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} while (a != a_end);
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}
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if (b != b_end) {
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RType armax = (a_end - 1)->rmax;
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do {
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*dst = Entry(b->rmin + aprev_rmin, b->rmax + armax, b->wmin, b->value);
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++dst; ++b;
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} while (b != b_end);
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}
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this->size = dst - data;
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utils::Assert(size <= sa.size + sb.size, "bug in combine");
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}
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};
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// same as summary, but use STL to backup the space
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/*! \brief data field */
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Entry *data;
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/*! \brief number of elements in the summary */
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size_t size;
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// constructor
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WQSummary(Entry *data, size_t size)
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: data(data), size(size) {}
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/*!
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* \return the maximum error of the Summary
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*/
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inline RType MaxError(void) const {
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RType res = data[0].rmax - data[0].rmin - data[0].wmin;
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for (size_t i = 1; i < size; ++i) {
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res = std::max(data[i].rmax_prev() - data[i - 1].rmin_next(), res);
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res = std::max(data[i].rmax - data[i].rmin - data[i].wmin, res);
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}
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return res;
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}
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/*! \return maximum rank in the summary */
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inline RType MaxRank(void) const {
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return data[size - 1].rmax;
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}
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/*! \brief set size to 0 */
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inline void Clear(void) {
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size = 0;
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}
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/*!
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* \brief copy content from src
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* \param src source sketch
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*/
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inline void CopyFrom(const WQSummary &src) {
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size = src.size;
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std::memcpy(data, src.data, sizeof(Entry) * size);
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} /*!
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* \brief debug function, validate whether the summary
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* run consistency check to check if it is a valid summary
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* \param eps the tolerate error level, used when RType is floating point and
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* some inconsistency could occur due to rounding error
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*/
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inline void CheckValid(RType eps) const {
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for (size_t i = 0; i < size; ++i) {
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data[i].CheckValid(eps);
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if (i != 0) {
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utils::Assert(data[i].rmin >= data[i - 1].rmin + data[i - 1].wmin, "rmin range constraint");
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utils::Assert(data[i].rmax >= data[i - 1].rmax + data[i].wmin, "rmax range constraint");
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}
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}
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}
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/*! \brief used for debug purpose, print the summary */
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inline void Print(void) const {
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for (size_t i = 0; i < size; ++i) {
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printf("x=%f\t[%f, %f] wmin=%f\n",
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data[i].value, data[i].rmin,
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data[i].rmax, data[i].wmin);
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}
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}
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/*!
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* \brief set current summary to be pruned summary of src
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* assume data field is already allocated to be at least maxsize
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* \param src source summary
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* \param maxsize size we can afford in the pruned sketch
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*/
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inline void SetPrune(const WQSummary &src, RType maxsize) {
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if (src.size <= maxsize) {
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this->CopyFrom(src); return;
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}
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const RType max_rank = src.MaxRank();
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const size_t n = maxsize - 1;
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data[0] = src.data[0];
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this->size = 1;
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// lastidx is used to avoid duplicated records
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size_t i = 0, lastidx = 0;
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for (RType k = 1; k < n; ++k) {
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RType dx2 = (2 * k * max_rank) / n;
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// find first i such that d < (rmax[i+1] + rmin[i+1]) / 2
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while (i < src.size - 1 &&
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dx2 >= src.data[i + 1].rmax + src.data[i + 1].rmin) ++i;
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if (i == src.size - 1) break;
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if (dx2 < src.data[i].rmin_next() + src.data[i + 1].rmax_prev()) {
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if (i != lastidx) {
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data[size++] = src.data[i]; lastidx = i;
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}
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} else {
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if (i + 1 != lastidx) {
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data[size++] = src.data[i + 1]; lastidx = i + 1;
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}
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}
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}
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if (lastidx != src.size - 1) {
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data[size++] = src.data[src.size - 1];
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}
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}
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/*!
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* \brief set current summary to be merged summary of sa and sb
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* \param sa first input summary to be merged
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* \param sb second input summar to be merged
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*/
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inline void SetCombine(const WQSummary &sa,
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const WQSummary &sb) {
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utils::Assert(sa.size > 0 && sb.size > 0, "invalid input for merge");
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const Entry *a = sa.data, *a_end = sa.data + sa.size;
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const Entry *b = sb.data, *b_end = sb.data + sb.size;
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// extended rmin value
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RType aprev_rmin = 0, bprev_rmin = 0;
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Entry *dst = this->data;
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while (a != a_end && b != b_end) {
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// duplicated value entry
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if (a->value == b->value) {
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*dst = Entry(a->rmin + b->rmin,
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a->rmax + b->rmax,
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a->wmin + b->wmin, a->value);
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aprev_rmin = a->rmin_next();
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bprev_rmin = b->rmin_next();
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++dst; ++a; ++b;
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} else if (a->value < b->value) {
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*dst = Entry(a->rmin + bprev_rmin,
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a->rmax + b->rmax_prev(),
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a->wmin, a->value);
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aprev_rmin = a->rmin_next();
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++dst; ++a;
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} else {
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*dst = Entry(b->rmin + aprev_rmin,
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b->rmax + a->rmax_prev(),
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b->wmin, b->value);
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bprev_rmin = b->rmin_next();
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++dst; ++b;
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}
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}
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if (a != a_end) {
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RType brmax = (b_end - 1)->rmax;
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do {
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*dst = Entry(a->rmin + bprev_rmin, a->rmax + brmax, a->wmin, a->value);
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++dst; ++a;
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} while (a != a_end);
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}
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if (b != b_end) {
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RType armax = (a_end - 1)->rmax;
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do {
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*dst = Entry(b->rmin + aprev_rmin, b->rmax + armax, b->wmin, b->value);
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++dst; ++b;
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} while (b != b_end);
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}
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this->size = dst - data;
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utils::Assert(size <= sa.size + sb.size, "bug in combine");
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}
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};
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/*!
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* \brief template for all quantle sketch algorithm
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* that uses merge/prune scheme
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* \tparam DType type of data content
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* \tparam RType type of rank
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* \tparam TSummary actual summary data structure it uses
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*/
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template<typename DType, typename RType, class TSummary>
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class QuantileSketchTemplate {
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public:
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/*! \brief type of summary type */
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typedef TSummary Summary;
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/*! \brief the entry type */
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typedef typename Summary::Entry Entry;
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/*! \brief same as summary, but use STL to backup the space */
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struct SummaryContainer : public Summary {
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std::vector<Entry> space;
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SummaryContainer(void) : Summary(NULL, 0) {
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}
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/*! \brief reserve space for summary */
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inline void Reserve(size_t size) {
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if (size > space.size()) {
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@ -267,8 +318,8 @@ class WQuantileSketch {
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utils::Assert((1 << nlevel) * limit_size >= maxn, "invalid init parameter");
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utils::Assert(nlevel <= limit_size * eps, "invalid init parameter");
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// lazy reserve the space, if there is only one value, no need to allocate space
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inqueue.resize(1);
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qtail = 0;
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inqueue.queue.resize(1);
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inqueue.qtail = 0;
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data.clear();
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level.clear();
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}
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@ -277,15 +328,15 @@ class WQuantileSketch {
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* \param x the elemented added to the sketch
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*/
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inline void Push(DType x, RType w = 1) {
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if (qtail == inqueue.size()) {
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if (inqueue.qtail == inqueue.queue.size()) {
|
||||
// jump from lazy one value to limit_size * 2
|
||||
if (inqueue.size() == 1) {
|
||||
inqueue.resize(limit_size * 2);
|
||||
if (inqueue.queue.size() == 1) {
|
||||
inqueue.queue.resize(limit_size * 2);
|
||||
} else {
|
||||
temp.Reserve(limit_size * 2);
|
||||
this->Queue2Summary(&temp);
|
||||
inqueue.MakeSummary(&temp);
|
||||
// cleanup queue
|
||||
qtail = 0;
|
||||
inqueue.qtail = 0;
|
||||
for (size_t l = 1; true; ++l) {
|
||||
this->InitLevel(l + 1);
|
||||
// check if level l is empty
|
||||
@ -307,18 +358,16 @@ class WQuantileSketch {
|
||||
}
|
||||
}
|
||||
}
|
||||
if (qtail == 0 || inqueue[qtail - 1].value != x) {
|
||||
inqueue[qtail++] = QEntry(x, w);
|
||||
} else {
|
||||
inqueue[qtail - 1].weight += w;
|
||||
}
|
||||
inqueue.Push(x, w);
|
||||
}
|
||||
/*! \brief get the summary after finalize */
|
||||
inline void GetSummary(SummaryContainer *out) {
|
||||
if (level.size() != 0) {
|
||||
out->Reserve(limit_size * 2);
|
||||
} else {
|
||||
out->Reserve(inqueue.queue.size());
|
||||
}
|
||||
this->Queue2Summary(out);
|
||||
inqueue.MakeSummary(out);
|
||||
if (level.size() != 0) {
|
||||
level[0].SetPrune(*out, limit_size);
|
||||
for (size_t l = 1; l < level.size(); ++l) {
|
||||
@ -345,54 +394,17 @@ class WQuantileSketch {
|
||||
level[l].CheckValid(eps);
|
||||
}
|
||||
}
|
||||
|
||||
// initialize level space to at least nlevel
|
||||
inline void InitLevel(size_t nlevel) {
|
||||
if (level.size() >= nlevel) return;
|
||||
data.resize(limit_size * nlevel);
|
||||
level.resize(nlevel, Summary());
|
||||
level.resize(nlevel, Summary(NULL, 0));
|
||||
for (size_t l = 0; l < level.size(); ++l) {
|
||||
level[l].data = BeginPtr(data) + l * limit_size;
|
||||
}
|
||||
}
|
||||
inline void Queue2Summary(SummaryContainer *temp) {
|
||||
// reserve temp space
|
||||
temp->Reserve(inqueue.size());
|
||||
temp->size = 0;
|
||||
// start update sketch
|
||||
std::sort(inqueue.begin(), inqueue.begin() + qtail);
|
||||
RType wsum = 0;
|
||||
// construct data with unique weights
|
||||
for (size_t i = 0; i < qtail;) {
|
||||
size_t j = i + 1;
|
||||
RType w = inqueue[i].weight;
|
||||
while (j < qtail && inqueue[j].value == inqueue[i].value) {
|
||||
w += inqueue[j].weight; ++j;
|
||||
}
|
||||
temp->data[temp->size++] = Entry(wsum, wsum + w, w, inqueue[i].value);
|
||||
wsum += w; i = j;
|
||||
}
|
||||
}
|
||||
// entry in the queue
|
||||
struct QEntry {
|
||||
// value of the instance
|
||||
DType value;
|
||||
// weight of instance
|
||||
RType weight;
|
||||
// default constructor
|
||||
QEntry(void) {}
|
||||
// constructor
|
||||
QEntry(DType value, RType weight)
|
||||
: value(value), weight(weight) {}
|
||||
// comparator on value
|
||||
inline bool operator<(const QEntry &b) const {
|
||||
return value < b.value;
|
||||
}
|
||||
};
|
||||
// the input queue
|
||||
std::vector<QEntry> inqueue;
|
||||
// end of the queue
|
||||
size_t qtail;
|
||||
// input data queue
|
||||
typename Summary::Queue inqueue;
|
||||
// number of levels
|
||||
size_t nlevel;
|
||||
// size of summary in each level
|
||||
@ -405,6 +417,16 @@ class WQuantileSketch {
|
||||
SummaryContainer temp;
|
||||
};
|
||||
|
||||
/*!
|
||||
* \brief Quantiel sketch use WQSummary
|
||||
* \tparam DType type of data content
|
||||
* \tparam RType type of rank
|
||||
*/
|
||||
template<typename DType, typename RType=unsigned>
|
||||
class WQuantileSketch :
|
||||
public QuantileSketchTemplate<DType, RType, WQSummary<DType, RType> >{
|
||||
};
|
||||
|
||||
/*!
|
||||
* \brief a helper class to compute streaming quantile
|
||||
* \tparam DType type of data content
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
export CC = gcc
|
||||
export CXX = g++
|
||||
export CXX = clang++
|
||||
export MPICXX = mpicxx
|
||||
export LDFLAGS= -pthread -lm
|
||||
export CFLAGS = -Wall -O3 -msse2 -Wno-unknown-pragmas -fPIC -I../src
|
||||
|
||||
35
test/mkquantest.py
Executable file
35
test/mkquantest.py
Executable file
@ -0,0 +1,35 @@
|
||||
#!/usr/bin/python
|
||||
import math
|
||||
import sys
|
||||
import random
|
||||
import subprocess
|
||||
|
||||
funcs = {
|
||||
'seq': 'lambda n: sorted([(x,1) for x in range(1,n+1)], key = lambda x:random.random())',
|
||||
'seqlogw': 'lambda n: sorted([(x, math.log(x)) for x in range(1,n+1)], key = lambda x:random.random())'
|
||||
}
|
||||
|
||||
if len(sys.argv) < 3:
|
||||
print 'Usage: python mkquantest.py <maxn> <eps> [generate-type] [ndata]|./test_quantile'
|
||||
print 'Possible generate-types:'
|
||||
for k, v in funcs.items():
|
||||
print '\t%s: %s' % (k, v)
|
||||
exit(-1)
|
||||
random.seed(0)
|
||||
maxn = int(sys.argv[1])
|
||||
eps = float(sys.argv[2])
|
||||
if len(sys.argv) > 3:
|
||||
method = sys.argv[3]
|
||||
assert method in funcs, ('cannot find method %s' % method)
|
||||
else:
|
||||
method = 'seq'
|
||||
if len(sys.argv) > 4:
|
||||
ndata = int(sys.argv[4])
|
||||
assert ndata <= maxn, 'ndata must be smaller than maxn'
|
||||
else:
|
||||
ndata = maxn
|
||||
|
||||
fo = sys.stdout
|
||||
fo.write('%d\t%g\n' % (maxn, eps))
|
||||
for x, w in eval(funcs[method])(ndata):
|
||||
fo.write(str(x)+'\t'+str(w)+'\n')
|
||||
23
test/test_quantile.cpp
Normal file
23
test/test_quantile.cpp
Normal file
@ -0,0 +1,23 @@
|
||||
#include <vector>
|
||||
#include <utils/quantile.h>
|
||||
using namespace xgboost;
|
||||
|
||||
int main(int argc, char *argv[]) {
|
||||
utils::WQuantileSketch<float, float> sketch;
|
||||
size_t n;
|
||||
double wsum = 0.0;
|
||||
float eps, x, w;
|
||||
utils::Check(scanf("%lu%f", &n, &eps) == 2, "needs to start with n eps");
|
||||
sketch.Init(n, eps);
|
||||
printf("nlevel = %lu, limit_size=%lu\n", sketch.nlevel, sketch.limit_size);
|
||||
while (scanf("%f%f", &x, &w) == 2) {
|
||||
sketch.Push(x, w);
|
||||
wsum += w;
|
||||
}
|
||||
sketch.CheckValid(0.1);
|
||||
utils::WQuantileSketch<float, float>::SummaryContainer out;
|
||||
sketch.GetSummary(&out);
|
||||
printf("MaxError=%f/%f = %g\n", out.MaxError(), wsum, out.MaxError() / wsum);
|
||||
out.Print();
|
||||
return 0;
|
||||
}
|
||||
Loading…
x
Reference in New Issue
Block a user