@josojo/realitytoken-contracts

{ "contractName": "LMSRMarketMaker", "abi": [ { "constant": true, "inputs": [ { "name": "market", "type": "address" }, { "name": "outcomeTokenIndex", "type": "uint8" }, { "name": "outcomeTokenCount", "type": "uint256" } ], "name": "calcCost", "outputs": [ { "name": "cost", "type": "uint256" } ], "payable": false, "stateMutability": "view", "type": "function" }, { "constant": true, "inputs": [ { "name": "market", "type": "address" }, { "name": "outcomeTokenIndex", "type": "uint8" }, { "name": "outcomeTokenCount", "type": "uint256" } ], "name": "calcProfit", "outputs": [ { "name": "profit", "type": "uint256" } ], "payable": false, "stateMutability": "view", "type": "function" }, { "constant": true, "inputs": [ { "name": "market", "type": "address" }, { "name": "outcomeTokenIndex", "type": "uint8" } ], "name": "calcMarginalPrice", "outputs": [ { "name": "price", "type": "uint256" } ], "payable": false, "stateMutability": "view", "type": "function" } ], "bytecode": 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"source": "pragma solidity ^0.4.15;\nimport \"../Utils/Math.sol\";\nimport \"../MarketMakers/MarketMaker.sol\";\n\n\n/// @title LMSR market maker contract - Calculates share prices based on share distribution and initial funding\n/// @author Alan Lu - <alan.lu@gnosis.pm>\ncontract LMSRMarketMaker is MarketMaker {\n using Math for *;\n\n /*\n * Constants\n */\n uint constant ONE = 0x10000000000000000;\n int constant EXP_LIMIT = 3394200909562557497344;\n\n /*\n * Public functions\n */\n /// @dev Returns cost to buy given number of outcome tokens\n /// @param market Market contract\n /// @param outcomeTokenIndex Index of outcome to buy\n /// @param outcomeTokenCount Number of outcome tokens to buy\n /// @return Cost\n function calcCost(Market market, uint8 outcomeTokenIndex, uint outcomeTokenCount)\n public\n constant\n returns (uint cost)\n {\n require(market.eventContract().getOutcomeCount() > 1);\n int[] memory netOutcomeTokensSold = getNetOutcomeTokensSold(market);\n // Calculate cost level based on net outcome token balances\n int log2N = Math.log2(netOutcomeTokensSold.length * ONE, Math.EstimationMode.UpperBound);\n uint funding = market.funding();\n int costLevelBefore = calcCostLevel(log2N, netOutcomeTokensSold, funding, Math.EstimationMode.LowerBound);\n // Add outcome token count to net outcome token balance\n require(int(outcomeTokenCount) >= 0);\n netOutcomeTokensSold[outcomeTokenIndex] = netOutcomeTokensSold[outcomeTokenIndex].add(int(outcomeTokenCount));\n // Calculate cost level after balance was updated\n int costLevelAfter = calcCostLevel(log2N, netOutcomeTokensSold, funding, Math.EstimationMode.UpperBound);\n // Calculate cost as cost level difference\n if(costLevelAfter < costLevelBefore)\n costLevelAfter = costLevelBefore;\n cost = uint(costLevelAfter - costLevelBefore);\n // Take the ceiling to account for rounding\n if (cost / ONE * ONE == cost)\n cost /= ONE;\n else\n // Integer division by ONE ensures there is room to (+ 1)\n cost = cost / ONE + 1;\n // Make sure cost is not bigger than 1 per share\n if (cost > outcomeTokenCount)\n cost = outcomeTokenCount;\n }\n\n /// @dev Returns profit for selling given number of outcome tokens\n /// @param market Market contract\n /// @param outcomeTokenIndex Index of outcome to sell\n /// @param outcomeTokenCount Number of outcome tokens to sell\n /// @return Profit\n function calcProfit(Market market, uint8 outcomeTokenIndex, uint outcomeTokenCount)\n public\n constant\n returns (uint profit)\n {\n require(market.eventContract().getOutcomeCount() > 1);\n int[] memory netOutcomeTokensSold = getNetOutcomeTokensSold(market);\n // Calculate cost level based on net outcome token balances\n int log2N = Math.log2(netOutcomeTokensSold.length * ONE, Math.EstimationMode.UpperBound);\n uint funding = market.funding();\n int costLevelBefore = calcCostLevel(log2N, netOutcomeTokensSold, funding, Math.EstimationMode.LowerBound);\n // Subtract outcome token count from the net outcome token balance\n require(int(outcomeTokenCount) >= 0);\n netOutcomeTokensSold[outcomeTokenIndex] = netOutcomeTokensSold[outcomeTokenIndex].sub(int(outcomeTokenCount));\n // Calculate cost level after balance was updated\n int costLevelAfter = calcCostLevel(log2N, netOutcomeTokensSold, funding, Math.EstimationMode.UpperBound);\n // Calculate profit as cost level difference\n if(costLevelBefore <= costLevelAfter)\n costLevelBefore = costLevelAfter;\n // Take the floor\n profit = uint(costLevelBefore - costLevelAfter) / ONE;\n }\n\n /// @dev Returns marginal price of an outcome\n /// @param market Market contract\n /// @param outcomeTokenIndex Index of outcome to determine marginal price of\n /// @return Marginal price of an outcome as a fixed point number\n function calcMarginalPrice(Market market, uint8 outcomeTokenIndex)\n public\n constant\n returns (uint price)\n {\n require(market.eventContract().getOutcomeCount() > 1);\n int[] memory netOutcomeTokensSold = getNetOutcomeTokensSold(market);\n int logN = Math.log2(netOutcomeTokensSold.length * ONE, Math.EstimationMode.Midpoint);\n uint funding = market.funding();\n // The price function is exp(quantities[i]/b) / sum(exp(q/b) for q in quantities)\n // To avoid overflow, calculate with\n // exp(quantities[i]/b - offset) / sum(exp(q/b - offset) for q in quantities)\n var (sum, , outcomeExpTerm) = sumExpOffset(logN, netOutcomeTokensSold, funding, outcomeTokenIndex, Math.EstimationMode.Midpoint);\n return outcomeExpTerm / (sum / ONE);\n }\n\n /*\n * Private functions\n */\n /// @dev Calculates the result of the LMSR cost function which is used to\n /// derive prices from the market state\n /// @param logN Logarithm of the number of outcomes\n /// @param netOutcomeTokensSold Net outcome tokens sold by market\n /// @param funding Initial funding for market\n /// @return Cost level\n function calcCostLevel(int logN, int[] netOutcomeTokensSold, uint funding, Math.EstimationMode estimationMode)\n private\n constant\n returns(int costLevel)\n {\n // The cost function is C = b * log(sum(exp(q/b) for q in quantities)).\n // To avoid overflow, we need to calc with an exponent offset:\n // C = b * (offset + log(sum(exp(q/b - offset) for q in quantities)))\n var (sum, offset, ) = sumExpOffset(logN, netOutcomeTokensSold, funding, 0, estimationMode);\n costLevel = Math.log2(sum, estimationMode);\n costLevel = costLevel.add(offset);\n costLevel = (costLevel.mul(int(ONE)) / logN).mul(int(funding));\n }\n\n /// @dev Calculates sum(exp(q/b - offset) for q in quantities), where offset is set\n /// so that the sum fits in 248-256 bits\n /// @param logN Logarithm of the number of outcomes\n /// @param netOutcomeTokensSold Net outcome tokens sold by market\n /// @param funding Initial funding for market\n /// @param outcomeIndex Index of exponential term to extract (for use by marginal price function)\n /// @return A result structure composed of the sum, the offset used, and the summand associated with the supplied index\n function sumExpOffset(int logN, int[] netOutcomeTokensSold, uint funding, uint8 outcomeIndex, Math.EstimationMode estimationMode)\n private\n constant\n returns (uint sum, int offset, uint outcomeExpTerm)\n {\n // Naive calculation of this causes an overflow\n // since anything above a bit over 133*ONE supplied to exp will explode\n // as exp(133) just about fits into 192 bits of whole number data.\n\n // The choice of this offset is subject to another limit:\n // computing the inner sum successfully.\n // Since the index is 8 bits, there has to be 8 bits of headroom for\n // each summand, meaning q/b - offset <= exponential_limit,\n // where that limit can be found with `mp.floor(mp.log((2**248 - 1) / ONE) * ONE)`\n // That is what EXP_LIMIT is set to: it is about 127.5\n\n // finally, if the distribution looks like [BIG, tiny, tiny...], using a\n // BIG offset will cause the tiny quantities to go really negative\n // causing the associated exponentials to vanish.\n\n require(logN >= 0 && int(funding) >= 0);\n offset = Math.max(netOutcomeTokensSold);\n offset = offset.mul(logN) / int(funding);\n offset = offset.sub(EXP_LIMIT);\n uint term;\n for (uint8 i = 0; i < netOutcomeTokensSold.length; i++) {\n term = Math.pow2((netOutcomeTokensSold[i].mul(logN) / int(funding)).sub(offset), estimationMode);\n if (i == outcomeIndex)\n outcomeExpTerm = term;\n sum = sum.add(term);\n }\n }\n\n /// @dev Gets net outcome tokens sold by market. 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