258 lines
12 KiB
JavaScript
258 lines
12 KiB
JavaScript
/*global contract, config, it, assert, embark, web3, before, describe, beforeEach*/
|
|
const BigNumber = require('bignumber.js');
|
|
const constants = require('../utils/FormulaConstants.js');
|
|
const catchRevert = require("../utils/Utils").catchRevert;
|
|
const TestBancorFormula = embark.require('Embark/contracts/TestBancorFormula');
|
|
|
|
config({
|
|
deployment: {
|
|
accounts: [
|
|
{
|
|
mnemonic: "foster gesture flock merge beach plate dish view friend leave drink valley shield list enemy",
|
|
balance: "5 ether",
|
|
numAddresses: "10"
|
|
}
|
|
]
|
|
},
|
|
contracts: {
|
|
"TestBancorFormula": { }
|
|
}
|
|
}, (_err, web3_accounts) => {
|
|
accounts = web3_accounts
|
|
});
|
|
|
|
contract('TestBancorFormula', function () {
|
|
let ILLEGAL_VAL = new BigNumber(2).exponentiatedBy(256);
|
|
let MAX_BASE_N = new BigNumber(2).exponentiatedBy(256 - constants.MAX_PRECISION).minus(1);
|
|
let MIN_BASE_D = new BigNumber(1);
|
|
let MAX_EXPONENT = 1000000;
|
|
|
|
for (let percent = 1; percent <= 100; percent++) {
|
|
let baseN = web3.utils.toHex(MAX_BASE_N);
|
|
let baseD = web3.utils.toHex(MAX_BASE_N.minus(1));
|
|
let expN = MAX_EXPONENT * percent / 100;
|
|
let expD = MAX_EXPONENT;
|
|
let test = `Function power(0x${baseN.toString(16)}, 0x${baseD.toString(16)}, ${expN}, ${expD})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
await TestBancorFormula.methods.powerTest(baseN, baseD, expN, expD).call();
|
|
});
|
|
}
|
|
|
|
for (let percent = 1; percent <= 100; percent++) {
|
|
let baseN = web3.utils.toHex(MAX_BASE_N);
|
|
let baseD = web3.utils.toHex(MAX_BASE_N.minus(1));
|
|
let expN = MAX_EXPONENT;
|
|
let expD = MAX_EXPONENT * percent / 100;
|
|
let test = `Function power(0x${baseN.toString(16)}, 0x${baseD.toString(16)}, ${expN}, ${expD})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
await TestBancorFormula.methods.powerTest(baseN, baseD, expN, expD).call();
|
|
});
|
|
}
|
|
|
|
for (let percent = 1; percent <= 100; percent++) {
|
|
let baseN = web3.utils.toHex(MAX_BASE_N);
|
|
let baseD = web3.utils.toHex((MIN_BASE_D));
|
|
let expN = MAX_EXPONENT * percent / 100;
|
|
let expD = MAX_EXPONENT;
|
|
let test = `Function power(0x${baseN.toString(16)}, 0x${baseD.toString(16)}, ${expN}, ${expD})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
if (percent < 64)
|
|
await TestBancorFormula.methods.powerTest(baseN, baseD, expN, expD).call();
|
|
else
|
|
await catchRevert(TestBancorFormula.methods.powerTest(baseN, baseD, expN, expD).call());
|
|
});
|
|
}
|
|
|
|
for (let percent = 1; percent <= 100; percent++) {
|
|
let baseN = web3.utils.toHex(MAX_BASE_N);
|
|
let baseD = web3.utils.toHex(MIN_BASE_D);
|
|
let expN = MAX_EXPONENT;
|
|
let expD = MAX_EXPONENT * percent / 100;
|
|
let test = `Function power(0x${baseN.toString(16)}, 0x${baseD.toString(16)}, ${expN}, ${expD})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
await catchRevert(TestBancorFormula.methods.powerTest(baseN, baseD, expN, expD).call());
|
|
});
|
|
}
|
|
|
|
let values = [
|
|
MAX_BASE_N.dividedBy(MIN_BASE_D).integerValue(),
|
|
MAX_BASE_N.dividedBy(MAX_BASE_N.minus(1)).integerValue(),
|
|
MIN_BASE_D.plus(1).dividedBy(MIN_BASE_D).integerValue(),
|
|
];
|
|
|
|
for (let index = 0; index < values.length; index++) {
|
|
let test = `Function generalLog(0x${values[index].toString(16)})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
try {
|
|
let temp = web3.utils.toHex(values[index]);
|
|
let retVal = await TestBancorFormula.methods.generalLogTest(temp).call();
|
|
let check = new BigNumber(parseInt(retVal, 10) * MAX_EXPONENT);
|
|
assert(check.isLessThan(ILLEGAL_VAL), `${test}: output is too large`);
|
|
}
|
|
catch (error) {
|
|
assert(false, error.message);
|
|
}
|
|
});
|
|
}
|
|
|
|
for (let precision = constants.MIN_PRECISION; precision <= constants.MAX_PRECISION; precision++) {
|
|
let maxExp = new BigNumber(constants.maxExpArray[precision]);
|
|
let shlVal = new BigNumber(2).exponentiatedBy(constants.MAX_PRECISION - precision);
|
|
let tuples = [
|
|
{'input' : maxExp.plus(0).times(shlVal).minus(1), 'output' : new BigNumber(precision-0)},
|
|
{'input' : maxExp.plus(0).times(shlVal).minus(0), 'output' : new BigNumber(precision-0)},
|
|
{'input' : maxExp.plus(1).times(shlVal).minus(1), 'output' : new BigNumber(precision-0)},
|
|
{'input' : maxExp.plus(1).times(shlVal).minus(0), 'output' : new BigNumber(precision-1)},
|
|
];
|
|
|
|
for (let index = 0; index < tuples.length; index++) {
|
|
let input = web3.utils.toHex(tuples[index]['input' ]);
|
|
let output = tuples[index]['output'];
|
|
let test = `Function findPositionInMaxExpArray(0x${input.toString(16)})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
if (precision == constants.MIN_PRECISION && output.isLessThan(BigNumber(precision))) {
|
|
await catchRevert(TestBancorFormula.methods.findPositionInMaxExpArrayTest(input).call());
|
|
}
|
|
else {
|
|
let temp = await TestBancorFormula.methods.findPositionInMaxExpArrayTest(input).call();
|
|
let retVal = new BigNumber(temp);
|
|
assert(retVal.isEqualTo(output), `${test}: output should be ${output.toString(10)} but it is ${retVal.toString(10)}`);
|
|
}
|
|
});
|
|
}
|
|
}
|
|
|
|
for (let precision = constants.MIN_PRECISION; precision <= constants.MAX_PRECISION; precision++) {
|
|
let maxExp = new BigNumber(constants.maxExpArray[precision]);
|
|
let maxVal = new BigNumber(constants.maxValArray[precision]);
|
|
let errExp = maxExp.plus(1);
|
|
let maxExpi = web3.utils.toHex(maxExp);
|
|
let errExpi = web3.utils.toHex(errExp);
|
|
let test1 = `Function generalExp(0x${maxExp.toString(16)}, ${precision})`;
|
|
let test2 = `Function generalExp(0x${errExp.toString(16)}, ${precision})`;
|
|
|
|
it(`${test1}:`, async () => {
|
|
let temp = await TestBancorFormula.methods.generalExpTest(maxExpi, precision).call();
|
|
let retVal = new BigNumber(temp);
|
|
assert(retVal.isEqualTo(maxVal), `${test1}: output is wrong`);
|
|
});
|
|
|
|
it(`${test2}:`, async () => {
|
|
let temp = await TestBancorFormula.methods.generalExpTest(errExpi, precision).call();
|
|
let retVal = new BigNumber(temp);
|
|
assert(retVal.isLessThan(maxVal), `${test2}: output indicates that maxExpArray[${precision}] is wrong`);
|
|
});
|
|
}
|
|
|
|
for (let precision = constants.MIN_PRECISION; precision <= constants.MAX_PRECISION; precision++) {
|
|
let minExp = new BigNumber(constants.maxExpArray[precision-1]).plus(1);
|
|
let minVal = new BigNumber(2).exponentiatedBy(precision);
|
|
let minExpi = web3.utils.toHex(minExp);
|
|
let test = `Function generalExp(0x${minExp.toString(16)}, ${precision})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
let temp = await TestBancorFormula.methods.generalExpTest(minExpi, precision).call();
|
|
let retVal = new BigNumber(temp);
|
|
assert(retVal.isGreaterThanOrEqualTo(minVal), `${test}: output is too small`);
|
|
});
|
|
}
|
|
|
|
for (let n = 1; n <= 255; n++) {
|
|
let tuples = [
|
|
{'input' : new BigNumber(2).exponentiatedBy(n) , 'output' : new BigNumber(n)},
|
|
{'input' : new BigNumber(2).exponentiatedBy(n).plus(1) , 'output' : new BigNumber(n)},
|
|
{'input' : new BigNumber(2).exponentiatedBy(n+1).minus(1), 'output' : new BigNumber(n)},
|
|
];
|
|
|
|
for (let index = 0; index < tuples.length; index++) {
|
|
let input = web3.utils.toHex(tuples[index]['input' ]);
|
|
let output = tuples[index]['output'];
|
|
let test = `Function floorLog2(0x${input.toString(16)})`;
|
|
|
|
it(`${test}:`, async () => {
|
|
let temp = await TestBancorFormula.methods.floorLog2Test(input).call();
|
|
let retVal = new BigNumber(temp);
|
|
assert(retVal.isEqualTo(output), `${test}: output should be ${output.toString(10)} but it is ${retVal.toString(10)}`);
|
|
});
|
|
}
|
|
}
|
|
|
|
let Decimal = require("decimal.js");
|
|
Decimal.set({precision: 100, rounding: Decimal.ROUND_DOWN});
|
|
BigNumber.config({DECIMAL_PLACES: 100, ROUNDING_MODE: BigNumber.ROUND_DOWN});
|
|
|
|
let LOG_MIN = 1;
|
|
let EXP_MIN = 0;
|
|
let LOG_MAX = new BigNumber(Decimal.exp(1).toFixed());
|
|
let EXP_MAX = new BigNumber(Decimal.pow(2,4).toFixed());
|
|
let FIXED_1 = new BigNumber(2).exponentiatedBy(constants.MAX_PRECISION);
|
|
|
|
for (let percent = 0; percent < 100; percent++) {
|
|
let x = new BigNumber(percent).dividedBy(100).times(LOG_MAX.minus(LOG_MIN)).plus(LOG_MIN);
|
|
|
|
it(`Function optimalLog(${x.toFixed()})`, async () => {
|
|
try {
|
|
let tmp = web3.utils.toHex(FIXED_1.times(x).integerValue());
|
|
let temp = await TestBancorFormula.methods.optimalLogTest(tmp).call();
|
|
let fixedPoint = new BigNumber(temp);
|
|
let floatPoint = new BigNumber(Decimal(x.toFixed()).ln().times(FIXED_1.toFixed()).toFixed());
|
|
let ratio = fixedPoint.isEqualTo(floatPoint) ? BigNumber(1) : fixedPoint.dividedBy(floatPoint);
|
|
assert(ratio.isGreaterThanOrEqualTo("0.99999999999999999999999999999999999") && ratio.isLessThanOrEqualTo("1"), `ratio = ${ratio.toFixed()}`);
|
|
}
|
|
catch (error) {
|
|
assert(false, error.message);
|
|
}
|
|
});
|
|
}
|
|
|
|
for (let percent = 0; percent < 100; percent++) {
|
|
let x = new BigNumber(percent).dividedBy(100).times(EXP_MAX.minus(EXP_MIN)).plus(EXP_MIN);
|
|
|
|
it(`Function optimalExp(${x.toFixed()})`, async () => {
|
|
try {
|
|
let tmp = web3.utils.toHex(FIXED_1.times(x).integerValue());
|
|
let temp = await TestBancorFormula.methods.optimalExpTest(tmp).call();
|
|
let fixedPoint = new BigNumber(temp);
|
|
let floatPoint = new BigNumber(Decimal(x.toFixed()).exp().times(FIXED_1.toFixed()).toFixed());
|
|
let ratio = fixedPoint.isEqualTo(floatPoint) ? new BigNumber(1) : fixedPoint.dividedBy(floatPoint);
|
|
assert(ratio.isGreaterThanOrEqualTo("0.99999999999999999999999999999999999") && ratio.isLessThanOrEqualTo("1"), `ratio = ${ratio.toFixed()}`);
|
|
}
|
|
catch (error) {
|
|
assert(false, error.message);
|
|
}
|
|
});
|
|
}
|
|
|
|
for (let n = 0; n < 256 - constants.MAX_PRECISION; n++) {
|
|
let values = [
|
|
new BigNumber(2).exponentiatedBy(n),
|
|
new BigNumber(2).exponentiatedBy(n).plus(1),
|
|
new BigNumber(2).exponentiatedBy(n).times(1.5),
|
|
new BigNumber(2).exponentiatedBy(n+1).minus(1),
|
|
];
|
|
|
|
for (let index = 0; index < values.length; index++) {
|
|
let x = values[index];
|
|
|
|
it(`Function generalLog(${x.toFixed()})`, async () => {
|
|
try {
|
|
let tmp = web3.utils.toHex(FIXED_1.times(x).integerValue());
|
|
let temp = await TestBancorFormula.methods.generalLogTest(tmp).call();
|
|
let fixedPoint = new BigNumber(temp);
|
|
let floatPoint = new BigNumber(Decimal(x.toFixed()).ln().times(FIXED_1.toFixed()).toFixed());
|
|
let ratio = fixedPoint.isEqualTo(floatPoint) ? new BigNumber(1) : fixedPoint.dividedBy(floatPoint);
|
|
assert(ratio.isGreaterThanOrEqualTo("0.99999999999999999999999999999999999") && ratio.isLessThanOrEqualTo("1"), `ratio = ${ratio.toFixed()}`);
|
|
}
|
|
catch (error) {
|
|
assert(false, error.message);
|
|
}
|
|
});
|
|
}
|
|
}
|
|
}); |