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/*
 * Copyright 2004-2019 H2 Group. Multiple-Licensed under the MPL 2.0,
 * and the EPL 1.0 (https://h2database.com/html/license.html).
 * Initial Developer: H2 Group
 */
package org.h2.util.geometry;

import static org.h2.util.geometry.GeometryUtils.DIMENSION_SYSTEM_XY;
import static org.h2.util.geometry.GeometryUtils.DIMENSION_SYSTEM_XYM;
import static org.h2.util.geometry.GeometryUtils.DIMENSION_SYSTEM_XYZ;
import static org.h2.util.geometry.GeometryUtils.DIMENSION_SYSTEM_XYZM;
import static org.h2.util.geometry.GeometryUtils.GEOMETRY_COLLECTION;
import static org.h2.util.geometry.GeometryUtils.LINE_STRING;
import static org.h2.util.geometry.GeometryUtils.M;
import static org.h2.util.geometry.GeometryUtils.MULTI_LINE_STRING;
import static org.h2.util.geometry.GeometryUtils.MULTI_POINT;
import static org.h2.util.geometry.GeometryUtils.MULTI_POLYGON;
import static org.h2.util.geometry.GeometryUtils.POINT;
import static org.h2.util.geometry.GeometryUtils.POLYGON;
import static org.h2.util.geometry.GeometryUtils.X;
import static org.h2.util.geometry.GeometryUtils.Y;
import static org.h2.util.geometry.GeometryUtils.Z;

import java.io.ByteArrayOutputStream;
import java.util.ArrayList;

import org.h2.util.geometry.EWKBUtils.EWKBTarget;
import org.h2.util.geometry.GeometryUtils.DimensionSystemTarget;
import org.h2.util.geometry.GeometryUtils.Target;

/**
 * EWKT format support for GEOMETRY data type.
 *
 * 

* This class provides limited support of EWKT. EWKT is based on Well-known Text * Representation (WKT) from OGC 06-103r4 and includes additional PostGIS * extensions. SRID support from EWKT is implemented. *

*/ public final class EWKTUtils { /** * 0-based type names of geometries, subtract 1 from type code to get index * in this array. */ static final String[] TYPES = { // "POINT", // "LINESTRING", // "POLYGON", // "MULTIPOINT", // "MULTILINESTRING", // "MULTIPOLYGON", // "GEOMETRYCOLLECTION", // }; /** * Names of dimension systems. */ private static final String[] DIMENSION_SYSTEMS = { // "XY", // "Z", // "M", // "ZM", // }; /** * Converter output target that writes a EWKT. */ public static final class EWKTTarget extends Target { private final StringBuilder output; private final int dimensionSystem; private int type; private boolean inMulti; /** * Creates a new EWKT output target. * * @param output * output stream * @param dimensionSystem * dimension system to use */ public EWKTTarget(StringBuilder output, int dimensionSystem) { this.output = output; this.dimensionSystem = dimensionSystem; } @Override protected void init(int srid) { if (srid != 0) { output.append("SRID=").append(srid).append(';'); } } @Override protected void startPoint() { writeHeader(POINT); } @Override protected void startLineString(int numPoints) { writeHeader(LINE_STRING); if (numPoints == 0) { output.append("EMPTY"); } } @Override protected void startPolygon(int numInner, int numPoints) { writeHeader(POLYGON); if (numPoints == 0) { output.append("EMPTY"); } else { output.append('('); } } @Override protected void startPolygonInner(int numInner) { output.append(numInner > 0 ? ", " : ", EMPTY"); } @Override protected void endNonEmptyPolygon() { output.append(')'); } @Override protected void startCollection(int type, int numItems) { writeHeader(type); if (numItems == 0) { output.append("EMPTY"); } if (type != GEOMETRY_COLLECTION) { inMulti = true; } } private void writeHeader(int type) { this.type = type; if (inMulti) { return; } output.append(TYPES[type - 1]); switch (dimensionSystem) { case DIMENSION_SYSTEM_XYZ: output.append(" Z"); break; case DIMENSION_SYSTEM_XYM: output.append(" M"); break; case DIMENSION_SYSTEM_XYZM: output.append(" ZM"); } output.append(' '); } @Override protected Target startCollectionItem(int index, int total) { if (index == 0) { output.append('('); } else { output.append(", "); } return this; } @Override protected void endCollectionItem(Target target, int type, int index, int total) { if (index + 1 == total) { output.append(')'); } } @Override protected void endObject(int type) { switch (type) { case MULTI_POINT: case MULTI_LINE_STRING: case MULTI_POLYGON: inMulti = false; } } @Override protected void addCoordinate(double x, double y, double z, double m, int index, int total) { if (type == POINT && Double.isNaN(x) && Double.isNaN(y) && Double.isNaN(z) && Double.isNaN(m)) { output.append("EMPTY"); return; } if (index == 0) { output.append('('); } else { output.append(", "); } writeDouble(x); output.append(' '); writeDouble(y); if ((dimensionSystem & DIMENSION_SYSTEM_XYZ) != 0) { output.append(' '); writeDouble(z); } if ((dimensionSystem & DIMENSION_SYSTEM_XYM) != 0) { output.append(' '); writeDouble(m); } if (index + 1 == total) { output.append(')'); } } private void writeDouble(double v) { String s = Double.toString(GeometryUtils.checkFinite(v)); if (s.endsWith(".0")) { output.append(s, 0, s.length() - 2); } else { int idx = s.indexOf(".0E"); if (idx < 0) { output.append(s); } else { output.append(s, 0, idx).append(s, idx + 2, s.length()); } } } } /** * Helper source object for EWKT reading. */ private static final class EWKTSource { private final String ewkt; private int offset; EWKTSource(String ewkt) { this.ewkt = ewkt; } int readSRID() { skipWS(); int srid; if (ewkt.regionMatches(true, offset, "SRID=", 0, 5)) { offset += 5; int idx = ewkt.indexOf(';', 5); if (idx < 0) { throw new IllegalArgumentException(); } int end = idx; while (ewkt.charAt(end - 1) <= ' ') { end--; } srid = Integer.parseInt(ewkt.substring(offset, end).trim()); offset = idx + 1; } else { srid = 0; } return srid; } void read(char symbol) { skipWS(); int len = ewkt.length(); if (offset >= len) { throw new IllegalArgumentException(); } if (ewkt.charAt(offset) != symbol) { throw new IllegalArgumentException(); } offset++; } int readType() { skipWS(); int len = ewkt.length(); if (offset >= len) { throw new IllegalArgumentException(); } int result = 0; char ch = ewkt.charAt(offset); switch (ch) { case 'P': case 'p': result = match("POINT", POINT); if (result == 0) { result = match("POLYGON", POLYGON); } break; case 'L': case 'l': result = match("LINESTRING", LINE_STRING); break; case 'M': case 'm': if (match("MULTI", 1) != 0) { result = match("POINT", MULTI_POINT); if (result == 0) { result = match("POLYGON", MULTI_POLYGON); if (result == 0) { result = match("LINESTRING", MULTI_LINE_STRING); } } } break; case 'G': case 'g': result = match("GEOMETRYCOLLECTION", GEOMETRY_COLLECTION); break; } if (result == 0) { throw new IllegalArgumentException(); } return result; } int readDimensionSystem() { int o = offset; skipWS(); int len = ewkt.length(); if (offset >= len) { throw new IllegalArgumentException(); } int result; char ch = ewkt.charAt(offset); switch (ch) { case 'M': case 'm': result = DIMENSION_SYSTEM_XYM; offset++; break; case 'Z': case 'z': offset++; if (offset >= len) { result = DIMENSION_SYSTEM_XYZ; } else { ch = ewkt.charAt(offset); if (ch == 'M' || ch == 'm') { offset++; result = DIMENSION_SYSTEM_XYZM; } else { result = DIMENSION_SYSTEM_XYZ; } } break; default: result = DIMENSION_SYSTEM_XY; if (o != offset) { // Token is already terminated by a whitespace return result; } } checkStringEnd(len); return result; } boolean readEmpty() { skipWS(); int len = ewkt.length(); if (offset >= len) { throw new IllegalArgumentException(); } if (ewkt.charAt(offset) == '(') { offset++; return false; } if (match("EMPTY", 1) != 0) { checkStringEnd(len); return true; } throw new IllegalArgumentException(); } private int match(String token, int code) { int l = token.length(); if (offset <= ewkt.length() - l && ewkt.regionMatches(true, offset, token, 0, l)) { offset += l; } else { code = 0; } return code; } private void checkStringEnd(int len) { if (offset < len) { char ch = ewkt.charAt(offset); if (ch > ' ' && ch != '(' && ch != ')' && ch != ',') { throw new IllegalArgumentException(); } } } public boolean hasCoordinate() { skipWS(); if (offset >= ewkt.length()) { return false; } return isNumberStart(ewkt.charAt(offset)); } public double readCoordinate() { skipWS(); int len = ewkt.length(); if (offset >= len) { throw new IllegalArgumentException(); } char ch = ewkt.charAt(offset); if (!isNumberStart(ch)) { throw new IllegalArgumentException(); } int start = offset++; while (offset < len && isNumberPart(ch = ewkt.charAt(offset))) { offset++; } if (offset < len) { if (ch > ' ' && ch != ')' && ch != ',') { throw new IllegalArgumentException(); } } Double d = Double.parseDouble(ewkt.substring(start, offset)); return d == 0 ? 0 : d; } private static boolean isNumberStart(char ch) { if (ch >= '0' && ch <= '9') { return true; } switch (ch) { case '+': case '-': case '.': return true; default: return false; } } private static boolean isNumberPart(char ch) { if (ch >= '0' && ch <= '9') { return true; } switch (ch) { case '+': case '-': case '.': case 'E': case 'e': return true; default: return false; } } public boolean hasMoreCoordinates() { skipWS(); if (offset >= ewkt.length()) { throw new IllegalArgumentException(); } switch (ewkt.charAt(offset)) { case ',': offset++; return true; case ')': offset++; return false; default: throw new IllegalArgumentException(); } } boolean hasData() { skipWS(); return offset < ewkt.length(); } int getItemCount() { int result = 1; int offset = this.offset, level = 0, len = ewkt.length(); while (offset < len) { switch (ewkt.charAt(offset++)) { case ',': if (level == 0) { result++; } break; case '(': level++; break; case ')': if (--level < 0) { return result; } } } throw new IllegalArgumentException(); } private void skipWS() { for (int len = ewkt.length(); offset < len && ewkt.charAt(offset) <= ' '; offset++) { } } @Override public String toString() { return new StringBuilder(ewkt.length() + 3).append(ewkt, 0, offset).append("<*>") .append(ewkt, offset, ewkt.length()).toString(); } } /** * Converts EWKB to EWKT. * * @param ewkb * source EWKB * @return EWKT representation */ public static String ewkb2ewkt(byte[] ewkb) { // Determine dimension system first DimensionSystemTarget dimensionTarget = new DimensionSystemTarget(); EWKBUtils.parseEWKB(ewkb, dimensionTarget); // Write an EWKT return ewkb2ewkt(ewkb, dimensionTarget.getDimensionSystem()); } /** * Converts EWKB to EWKT. * * @param ewkb * source EWKB * @param dimensionSystem * dimension system * @return EWKT representation */ public static String ewkb2ewkt(byte[] ewkb, int dimensionSystem) { StringBuilder output = new StringBuilder(); EWKTTarget target = new EWKTTarget(output, dimensionSystem); EWKBUtils.parseEWKB(ewkb, target); return output.toString(); } /** * Converts EWKT to EWKB. * * @param ewkt * source EWKT * @return EWKB representation */ public static byte[] ewkt2ewkb(String ewkt) { // Determine dimension system first DimensionSystemTarget dimensionTarget = new DimensionSystemTarget(); parseEWKT(ewkt, dimensionTarget); // Write an EWKB return ewkt2ewkb(ewkt, dimensionTarget.getDimensionSystem()); } /** * Converts EWKT to EWKB. * * @param ewkt * source EWKT * @param dimensionSystem * dimension system * @return EWKB representation */ public static byte[] ewkt2ewkb(String ewkt, int dimensionSystem) { ByteArrayOutputStream output = new ByteArrayOutputStream(); EWKBTarget target = new EWKBTarget(output, dimensionSystem); parseEWKT(ewkt, target); return output.toByteArray(); } /** * Parses a EWKB. * * @param ewkt * source EWKT * @param target * output target */ public static void parseEWKT(String ewkt, Target target) { parseEWKT(new EWKTSource(ewkt), target, 0, 0); } /** * Parses geometry type and dimension system from the given string. * * @param s * string to parse * @return geometry type and dimension system in OGC geometry code format * (type + dimensionSystem * 1000) * @throws IllegalArgumentException * if input is not valid */ public static int parseGeometryType(String s) { EWKTSource source = new EWKTSource(s); int type = source.readType(); int dimensionSystem = 0; if (source.hasData()) { dimensionSystem = source.readDimensionSystem(); if (source.hasData()) { throw new IllegalArgumentException(); } } return dimensionSystem * 1_000 + type; } /** * Parses a dimension system from the given string. * * @param s * string to parse * @return dimension system, one of XYZ, XYM, or XYZM * @see GeometryUtils#DIMENSION_SYSTEM_XYZ * @see GeometryUtils#DIMENSION_SYSTEM_XYM * @see GeometryUtils#DIMENSION_SYSTEM_XYZM * @throws IllegalArgumentException * if input is not valid */ public static int parseDimensionSystem(String s) { EWKTSource source = new EWKTSource(s); int dimensionSystem = source.readDimensionSystem(); if (source.hasData() || dimensionSystem == DIMENSION_SYSTEM_XY) { throw new IllegalArgumentException(); } return dimensionSystem; } /** * Formats type and dimension system as a string. * * @param type * OGC geometry code format (type + dimensionSystem * 1000) * @return formatted string * @throws IllegalArgumentException * if type is not valid */ public static String formatGeometryTypeAndDimensionSystem(int type) { int t = type % 1_000, d = type / 1_000; if (t < POINT || t > GEOMETRY_COLLECTION || d < DIMENSION_SYSTEM_XY || d > DIMENSION_SYSTEM_XYZM) { throw new IllegalArgumentException(); } String result = TYPES[t - 1]; if (d != DIMENSION_SYSTEM_XY) { result = result + ' ' + DIMENSION_SYSTEMS[d]; } return result; } /** * Parses a EWKB. * * @param source * EWKT source * @param target * output target * @param parentType * type of parent geometry collection, or 0 for the root geometry * @param dimensionSystem * dimension system of parent geometry */ private static void parseEWKT(EWKTSource source, Target target, int parentType, int dimensionSystem) { if (parentType == 0) { target.init(source.readSRID()); } int type; switch (parentType) { default: { type = source.readType(); dimensionSystem = source.readDimensionSystem(); break; } case MULTI_POINT: type = POINT; break; case MULTI_LINE_STRING: type = LINE_STRING; break; case MULTI_POLYGON: type = POLYGON; break; } target.dimensionSystem(dimensionSystem); switch (type) { case POINT: { if (parentType != 0 && parentType != MULTI_POINT && parentType != GEOMETRY_COLLECTION) { throw new IllegalArgumentException(); } boolean empty = source.readEmpty(); target.startPoint(); if (empty) { target.addCoordinate(Double.NaN, Double.NaN, Double.NaN, Double.NaN, 0, 1); } else { addCoordinate(source, target, dimensionSystem, 0, 1); source.read(')'); } break; } case LINE_STRING: { if (parentType != 0 && parentType != MULTI_LINE_STRING && parentType != GEOMETRY_COLLECTION) { throw new IllegalArgumentException(); } boolean empty = source.readEmpty(); if (empty) { target.startLineString(0); } else { ArrayList coordinates = new ArrayList<>(); do { coordinates.add(readCoordinate(source, dimensionSystem)); } while (source.hasMoreCoordinates()); int numPoints = coordinates.size(); if (numPoints < 0 || numPoints == 1) { throw new IllegalArgumentException(); } target.startLineString(numPoints); for (int i = 0; i < numPoints; i++) { double[] c = coordinates.get(i); target.addCoordinate(c[X], c[Y], c[Z], c[M], i, numPoints); } } break; } case POLYGON: { if (parentType != 0 && parentType != MULTI_POLYGON && parentType != GEOMETRY_COLLECTION) { throw new IllegalArgumentException(); } boolean empty = source.readEmpty(); if (empty) { target.startPolygon(0, 0); } else { ArrayList outer = readRing(source, dimensionSystem); ArrayList> inner = new ArrayList<>(); while (source.hasMoreCoordinates()) { inner.add(readRing(source, dimensionSystem)); } int numInner = inner.size(); int size = outer.size(); // Size may be 0 (EMPTY) or 4+ if (size >= 1 && size <= 3) { throw new IllegalArgumentException(); } if (size == 0 && numInner > 0) { throw new IllegalArgumentException(); } target.startPolygon(numInner, size); if (size > 0) { addRing(outer, target); for (int i = 0; i < numInner; i++) { ArrayList ring = inner.get(i); size = ring.size(); // Size may be 0 (EMPTY) or 4+ if (size >= 1 && size <= 3) { throw new IllegalArgumentException(); } target.startPolygonInner(size); addRing(ring, target); } target.endNonEmptyPolygon(); } } break; } case MULTI_POINT: case MULTI_LINE_STRING: case MULTI_POLYGON: parseCollection(source, target, type, parentType, dimensionSystem); break; case GEOMETRY_COLLECTION: parseCollection(source, target, GEOMETRY_COLLECTION, parentType, 0); break; default: throw new IllegalArgumentException(); } target.endObject(type); if (parentType == 0 && source.hasData()) { throw new IllegalArgumentException(); } } private static void parseCollection(EWKTSource source, Target target, int type, int parentType, int dimensionSystem) { if (parentType != 0 && parentType != GEOMETRY_COLLECTION) { throw new IllegalArgumentException(); } if (source.readEmpty()) { target.startCollection(type, 0); } else { if (type == MULTI_POINT && source.hasCoordinate()) { parseMultiPointAlternative(source, target, dimensionSystem); } else { int numItems = source.getItemCount(); target.startCollection(type, numItems); for (int i = 0; i < numItems; i++) { if (i > 0) { source.read(','); } Target innerTarget = target.startCollectionItem(i, numItems); parseEWKT(source, innerTarget, type, dimensionSystem); target.endCollectionItem(innerTarget, type, i, numItems); } source.read(')'); } } } private static void parseMultiPointAlternative(EWKTSource source, Target target, int dimensionSystem) { // Special case for MULTIPOINT (1 2, 3 4) ArrayList points = new ArrayList<>(); do { points.add(readCoordinate(source, dimensionSystem)); } while (source.hasMoreCoordinates()); int numItems = points.size(); target.startCollection(MULTI_POINT, numItems); for (int i = 0; i < points.size(); i++) { Target innerTarget = target.startCollectionItem(i, numItems); target.startPoint(); double[] c = points.get(i); target.addCoordinate(c[X], c[Y], c[Z], c[M], 0, 1); target.endCollectionItem(innerTarget, MULTI_POINT, i, numItems); } } private static ArrayList readRing(EWKTSource source, int dimensionSystem) { if (source.readEmpty()) { return new ArrayList<>(0); } ArrayList result = new ArrayList<>(); double[] c = readCoordinate(source, dimensionSystem); double startX = c[X], startY = c[Y]; result.add(c); while (source.hasMoreCoordinates()) { result.add(readCoordinate(source, dimensionSystem)); } int size = result.size(); if (size < 4) { throw new IllegalArgumentException(); } c = result.get(size - 1); double endX = c[X], endY = c[Y]; /* * TODO OGC 06-103r4 determines points as equal if they have the same X * and Y coordinates. Should we check Z and M here too? */ if (startX != endX || startY != endY) { throw new IllegalArgumentException(); } return result; } private static void addRing(ArrayList ring, Target target) { for (int i = 0, size = ring.size(); i < size; i++) { double[] coordinates = ring.get(i); target.addCoordinate(coordinates[X], coordinates[Y], coordinates[Z], coordinates[M], i, size); } } private static void addCoordinate(EWKTSource source, Target target, int dimensionSystem, int index, int total) { double x = source.readCoordinate(); double y = source.readCoordinate(); double z = Double.NaN, m = Double.NaN; if (source.hasCoordinate()) { if (dimensionSystem == DIMENSION_SYSTEM_XYM) { m = source.readCoordinate(); } else { z = source.readCoordinate(); if (source.hasCoordinate()) { m = source.readCoordinate(); } } } target.addCoordinate(x, y, z, m, index, total); } private static double[] readCoordinate(EWKTSource source, int dimensionSystem) { double x = source.readCoordinate(); double y = source.readCoordinate(); double z = Double.NaN, m = Double.NaN; if (source.hasCoordinate()) { if (dimensionSystem == DIMENSION_SYSTEM_XYM) { m = source.readCoordinate(); } else { z = source.readCoordinate(); if (source.hasCoordinate()) { m = source.readCoordinate(); } } } return new double[] { x, y, z, m }; } private EWKTUtils() { } }




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