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  1. #include "PrismFormulaPrinter.h"
  2. #include <map>
  3. #include <string>
  4. #include <algorithm>
  5. std::string oneOffToString(const int &offset) {
  6. return offset != 0 ? ( offset == 1 ? "+1" : "-1" ) : "";
  7. }
  8. std::string vectorToDisjunction(const std::vector<std::string> &formulae) {
  9. bool first = true;
  10. std::string disjunction = "";
  11. for(const auto &formula : formulae) {
  12. if(first) first = false;
  13. else disjunction += " | ";
  14. disjunction += formula;
  15. }
  16. return disjunction;
  17. }
  18. std::string cellToConjunction(const AgentName &agentName, const cell &c) {
  19. return "x" + agentName + "=" + std::to_string(c.column) + "&y" + agentName + "=" + std::to_string(c.row);
  20. }
  21. std::string cellToConjunctionWithOffset(const AgentName &agentName, const cell &c, const std::string &xOffset, const std::string &yOffset){
  22. return "x" + agentName + xOffset + "=" + std::to_string(c.column) + "&y" + agentName + yOffset + "=" + std::to_string(c.row);
  23. }
  24. std::string coordinatesToConjunction(const AgentName &agentName, const coordinates &c, const ViewDirection viewDirection) {
  25. return "x" + agentName + "=" + std::to_string(c.first) + "&y" + agentName + "=" + std::to_string(c.second) + "&view" + agentName + "=" + std::to_string(viewDirection);
  26. }
  27. std::string objectPositionToConjunction(const AgentName &agentName, const std::string &identifier, const std::pair<int, int> &relativePosition) {
  28. std::string xOffset = oneOffToString(relativePosition.first);
  29. std::string yOffset = oneOffToString(relativePosition.second);
  30. return "x" + agentName + xOffset + "=x" + identifier + "&y" + agentName + yOffset + "=y" + identifier;
  31. }
  32. std::string objectPositionToConjunction(const AgentName &agentName, const std::string &identifier, const std::pair<int, int> &relativePosition, const ViewDirection viewDirection) {
  33. std::string xOffset = oneOffToString(relativePosition.first);
  34. std::string yOffset = oneOffToString(relativePosition.second);
  35. return "x" + agentName + xOffset + "=x" + identifier + "&y" + agentName + yOffset + "=y" + identifier + "&view" + agentName + "=" + std::to_string(viewDirection);
  36. }
  37. std::map<ViewDirection, coordinates> getAdjacentCells(const cell &c) {
  38. return {{1, c.getNorth()}, {2, c.getEast()}, {3, c.getSouth()}, {0, c.getWest()}};
  39. }
  40. std::map<ViewDirection, std::pair<int, int>> getRelativeAdjacentCells() {
  41. return { {1, {0,+1}}, {2, {-1,0}}, {3, {0,-1}}, {0, {+1,0}} };
  42. }
  43. std::map<std::string, std::pair<int, int>> getRelativeSurroundingCells() {
  44. return { {"NorthWest", {-1,-1}}, {"North", { 0,-1}}, {"NorthEast", {+1,-1}},
  45. {"West", {-1, 0}}, {"East", {+1, 0}},
  46. {"SouthWest", {-1,+1}}, {"South", { 0,+1}}, {"SouthEast", {+1,+1}} };
  47. }
  48. namespace prism {
  49. PrismFormulaPrinter::PrismFormulaPrinter(std::ostream &os, const std::map<std::string, cells> &restrictions, const cells &walls, const cells &boxes, const cells &balls, const cells &lockedDoors, const cells &unlockedDoors, const cells &keys, const std::map<std::string, cells> &slipperyTiles, const cells &lava, const cells &goals)
  50. : os(os), restrictions(restrictions), walls(walls), boxes(boxes), balls(balls), lockedDoors(lockedDoors), unlockedDoors(unlockedDoors), keys(keys), slipperyTiles(slipperyTiles), lava(lava), goals(goals)
  51. { }
  52. void PrismFormulaPrinter::print(const AgentName &agentName) {
  53. for(const auto& [direction, cells] : restrictions) {
  54. printRestrictionFormula(agentName, direction, cells);
  55. }
  56. if(slipperyBehaviour()) {
  57. for(const auto& [direction, cells] : slipperyTiles) {
  58. printIsOnFormula(agentName, "Slippery", cells, direction);
  59. }
  60. std::vector<std::string> allSlipperyDirections = {agentName + "IsOnSlipperyNorth", agentName + "IsOnSlipperyEast", agentName + "IsOnSlipperySouth", agentName + "IsOnSlipperyWest"};
  61. os << buildFormula(agentName + "IsOnSlippery", vectorToDisjunction(allSlipperyDirections));
  62. for(const auto& [direction, relativePosition] : getRelativeSurroundingCells()) {
  63. printSlipRestrictionFormula(agentName, direction);
  64. }
  65. } else {
  66. os << buildFormula(agentName + "IsOnSlippery", "false");
  67. }
  68. printIsOnFormula(agentName, "Lava", lava);
  69. printIsOnFormula(agentName, "Goal", goals);
  70. for(const auto& ball : balls) {
  71. std::string identifier = capitalize(ball.getColor()) + ball.getType();
  72. printRelativeRestrictionFormulaWithCondition(agentName, identifier, "!" + identifier + "PickedUp");
  73. portableObjects.push_back(agentName + "Carrying" + identifier);
  74. }
  75. for(const auto& box : boxes) {
  76. std::string identifier = capitalize(box.getColor()) + box.getType();
  77. printRelativeRestrictionFormulaWithCondition(agentName, identifier, "!" + identifier + "PickedUp");
  78. portableObjects.push_back(agentName + "Carrying" + identifier);
  79. }
  80. for(const auto& key : keys) {
  81. std::string identifier = capitalize(key.getColor()) + key.getType();
  82. printRelativeRestrictionFormulaWithCondition(agentName, identifier, "!" + identifier + "PickedUp");
  83. portableObjects.push_back(agentName + "Carrying" + identifier);
  84. }
  85. for(const auto& door : unlockedDoors) {
  86. std::string identifier = capitalize(door.getColor()) + door.getType();
  87. printRestrictionFormulaWithCondition(agentName, identifier, getAdjacentCells(door), "!" + identifier + "Open");
  88. printIsNextToFormula(agentName, identifier, getAdjacentCells(door));
  89. }
  90. for(const auto& door : lockedDoors) {
  91. std::string identifier = capitalize(door.getColor()) + door.getType();
  92. printRestrictionFormulaWithCondition(agentName, identifier, getAdjacentCells(door), "!" + identifier + "Open");
  93. printIsNextToFormula(agentName, identifier, getAdjacentCells(door));
  94. }
  95. if(conditionalMovementRestrictions.size() > 0) {
  96. os << buildFormula(agentName + "CannotMoveConditionally", vectorToDisjunction(conditionalMovementRestrictions));
  97. os << buildFormula(agentName + "IsCarrying", vectorToDisjunction(portableObjects));
  98. } else {
  99. os << buildFormula(agentName + "CannotMoveConditionally", "false");
  100. }
  101. }
  102. void PrismFormulaPrinter::printRestrictionFormula(const AgentName &agentName, const std::string &direction, const cells &grid_cells) {
  103. os << buildFormula(agentName + "CannotMove" + direction + "Wall", buildDisjunction(agentName, grid_cells));
  104. }
  105. void PrismFormulaPrinter::printIsOnFormula(const AgentName &agentName, const std::string &type, const cells &grid_cells, const std::string &direction) {
  106. os << buildFormula(agentName + "IsOn" + type + direction, buildDisjunction(agentName, grid_cells));
  107. }
  108. void PrismFormulaPrinter::printIsNextToFormula(const AgentName &agentName, const std::string &type, const std::map<ViewDirection, coordinates> &coordinates) {
  109. os << buildFormula(agentName + "IsNextTo" + type, buildDisjunction(agentName, coordinates));
  110. }
  111. void PrismFormulaPrinter::printRestrictionFormulaWithCondition(const AgentName &agentName, const std::string &reason, const std::map<ViewDirection, coordinates> &coordinates, const std::string &condition) {
  112. os << buildFormula(agentName + "CannotMove" + reason, "(" + buildDisjunction(agentName, coordinates) + ") & " + condition);
  113. conditionalMovementRestrictions.push_back(agentName + "CannotMove" + reason);
  114. }
  115. void PrismFormulaPrinter::printRelativeRestrictionFormulaWithCondition(const AgentName &agentName, const std::string &reason, const std::string &condition) {
  116. os << buildFormula(agentName + "CannotMove" + reason, "(" + buildDisjunction(agentName, reason) + ") & " + condition);
  117. conditionalMovementRestrictions.push_back(agentName + "CannotMove" + reason);
  118. }
  119. void PrismFormulaPrinter::printSlipRestrictionFormula(const AgentName &agentName, const std::string &direction) {
  120. std::pair<int, int> slipCell = getRelativeSurroundingCells().at(direction);
  121. bool semicolon = anyPortableObject() ? false : true;
  122. os << buildFormula(agentName + "CannotSlip" + direction, buildDisjunction(agentName, walls, slipCell), semicolon);
  123. for(auto const key : keys) {
  124. std::string identifier = capitalize(key.getColor()) + key.getType();
  125. os << " | " << objectPositionToConjunction(agentName, identifier, slipCell);
  126. }
  127. for(auto const ball : balls) {
  128. std::string identifier = capitalize(ball.getColor()) + ball.getType();
  129. os << " | " << objectPositionToConjunction(agentName, identifier, slipCell);
  130. }
  131. for(auto const box : boxes) {
  132. std::string identifier = capitalize(box.getColor()) + box.getType();
  133. os << " | " << objectPositionToConjunction(agentName, identifier, slipCell);
  134. }
  135. if(!semicolon) os << ";\n";
  136. }
  137. std::string PrismFormulaPrinter::buildFormula(const std::string &formulaName, const std::string &formula, const bool semicolon) {
  138. return "formula " + formulaName + " = " + formula + (semicolon ? ";\n": "");
  139. }
  140. std::string PrismFormulaPrinter::buildDisjunction(const AgentName &agentName, const std::map<ViewDirection, coordinates> &cells) {
  141. if(cells.size() == 0) return "false";
  142. bool first = true;
  143. std::string disjunction = "";
  144. for(const auto [viewDirection, coordinates] : cells) {
  145. if(first) first = false;
  146. else disjunction += " | ";
  147. disjunction += "(" + coordinatesToConjunction(agentName, coordinates, viewDirection) + ")";
  148. }
  149. return disjunction;
  150. }
  151. std::string PrismFormulaPrinter::buildDisjunction(const AgentName &agentName, const cells &cells) {
  152. if(cells.size() == 0) return "false";
  153. bool first = true;
  154. std::string disjunction = "";
  155. for(auto const cell : cells) {
  156. if(first) first = false;
  157. else disjunction += " | ";
  158. disjunction += "(" + cellToConjunction(agentName, cell) + ")";
  159. }
  160. return disjunction;
  161. }
  162. std::string PrismFormulaPrinter::buildDisjunction(const AgentName &agentName, const std::string &reason) {
  163. std::string disjunction = "";
  164. bool first = true;
  165. for(auto const [viewDirection, relativePosition] : getRelativeAdjacentCells()) {
  166. if(first) first = false;
  167. else disjunction += " | ";
  168. disjunction += "(" + objectPositionToConjunction(agentName, reason, relativePosition, viewDirection) + ")";
  169. }
  170. return disjunction;
  171. }
  172. std::string PrismFormulaPrinter::buildDisjunction(const AgentName &agentName, const cells &cells, const std::pair<int, int> &offset) {
  173. std::string disjunction = "";
  174. bool first = true;
  175. std::string xOffset = oneOffToString(offset.first);
  176. std::string yOffset = oneOffToString(offset.second);
  177. for(auto const cell : cells) {
  178. if(first) first = false;
  179. else disjunction += " | ";
  180. disjunction += "(" + cellToConjunctionWithOffset(agentName, cell, xOffset, yOffset) + ")";
  181. }
  182. return disjunction;
  183. }
  184. bool PrismFormulaPrinter::slipperyBehaviour() const {
  185. return !slipperyTiles.at("North").empty() || !slipperyTiles.at("East").empty() || !slipperyTiles.at("South").empty() || !slipperyTiles.at("West").empty();
  186. }
  187. bool PrismFormulaPrinter::anyPortableObject() const {
  188. return !keys.empty() || !boxes.empty() || !balls.empty();
  189. }
  190. }