Rename rounding modes and complete with fourth (#4455)

Co-authored-by: ernestognw <ernestognw@gmail.com>
This commit is contained in:
Francisco
2023-07-13 17:52:03 -03:00
committed by GitHub
parent a55af77c75
commit 84db204a41
10 changed files with 210 additions and 173 deletions

View File

@ -6,6 +6,9 @@ const { expectRevertCustomError } = require('../../helpers/customError.js');
const Math = artifacts.require('$Math');
const RoundingDown = [Rounding.Floor, Rounding.Trunc];
const RoundingUp = [Rounding.Ceil, Rounding.Expand];
function expectStruct(value, expected) {
for (const key in expected) {
if (BN.isBN(value[key])) {
@ -244,202 +247,222 @@ contract('Math', function () {
describe('muldiv', function () {
it('divide by 0', async function () {
await expectRevert.unspecified(this.math.$mulDiv(1, 1, 0, Rounding.Down));
await expectRevert.unspecified(this.math.$mulDiv(1, 1, 0, Rounding.Floor));
});
it('reverts with result higher than 2 ^ 256', async function () {
await expectRevertCustomError(this.math.$mulDiv(5, MAX_UINT256, 2, Rounding.Down), 'MathOverflowedMulDiv', []);
await expectRevertCustomError(this.math.$mulDiv(5, MAX_UINT256, 2, Rounding.Floor), 'MathOverflowedMulDiv', []);
});
describe('does round down', async function () {
it('small values', async function () {
expect(await this.math.$mulDiv('3', '4', '5', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$mulDiv('3', '5', '5', Rounding.Down)).to.be.bignumber.equal('3');
for (const rounding of RoundingDown) {
expect(await this.math.$mulDiv('3', '4', '5', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$mulDiv('3', '5', '5', rounding)).to.be.bignumber.equal('3');
}
});
it('large values', async function () {
expect(
await this.math.$mulDiv(new BN('42'), MAX_UINT256_SUB1, MAX_UINT256, Rounding.Down),
).to.be.bignumber.equal(new BN('41'));
for (const rounding of RoundingDown) {
expect(await this.math.$mulDiv(new BN('42'), MAX_UINT256_SUB1, MAX_UINT256, rounding)).to.be.bignumber.equal(
new BN('41'),
);
expect(await this.math.$mulDiv(new BN('17'), MAX_UINT256, MAX_UINT256, Rounding.Down)).to.be.bignumber.equal(
new BN('17'),
);
expect(await this.math.$mulDiv(new BN('17'), MAX_UINT256, MAX_UINT256, rounding)).to.be.bignumber.equal(
new BN('17'),
);
expect(
await this.math.$mulDiv(MAX_UINT256_SUB1, MAX_UINT256_SUB1, MAX_UINT256, Rounding.Down),
).to.be.bignumber.equal(MAX_UINT256_SUB2);
expect(
await this.math.$mulDiv(MAX_UINT256_SUB1, MAX_UINT256_SUB1, MAX_UINT256, rounding),
).to.be.bignumber.equal(MAX_UINT256_SUB2);
expect(
await this.math.$mulDiv(MAX_UINT256, MAX_UINT256_SUB1, MAX_UINT256, Rounding.Down),
).to.be.bignumber.equal(MAX_UINT256_SUB1);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256_SUB1, MAX_UINT256, rounding)).to.be.bignumber.equal(
MAX_UINT256_SUB1,
);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256, MAX_UINT256, Rounding.Down)).to.be.bignumber.equal(
MAX_UINT256,
);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256, MAX_UINT256, rounding)).to.be.bignumber.equal(
MAX_UINT256,
);
}
});
});
describe('does round up', async function () {
it('small values', async function () {
expect(await this.math.$mulDiv('3', '4', '5', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.$mulDiv('3', '5', '5', Rounding.Up)).to.be.bignumber.equal('3');
for (const rounding of RoundingUp) {
expect(await this.math.$mulDiv('3', '4', '5', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$mulDiv('3', '5', '5', rounding)).to.be.bignumber.equal('3');
}
});
it('large values', async function () {
expect(await this.math.$mulDiv(new BN('42'), MAX_UINT256_SUB1, MAX_UINT256, Rounding.Up)).to.be.bignumber.equal(
new BN('42'),
);
for (const rounding of RoundingUp) {
expect(await this.math.$mulDiv(new BN('42'), MAX_UINT256_SUB1, MAX_UINT256, rounding)).to.be.bignumber.equal(
new BN('42'),
);
expect(await this.math.$mulDiv(new BN('17'), MAX_UINT256, MAX_UINT256, Rounding.Up)).to.be.bignumber.equal(
new BN('17'),
);
expect(await this.math.$mulDiv(new BN('17'), MAX_UINT256, MAX_UINT256, rounding)).to.be.bignumber.equal(
new BN('17'),
);
expect(
await this.math.$mulDiv(MAX_UINT256_SUB1, MAX_UINT256_SUB1, MAX_UINT256, Rounding.Up),
).to.be.bignumber.equal(MAX_UINT256_SUB1);
expect(
await this.math.$mulDiv(MAX_UINT256_SUB1, MAX_UINT256_SUB1, MAX_UINT256, rounding),
).to.be.bignumber.equal(MAX_UINT256_SUB1);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256_SUB1, MAX_UINT256, Rounding.Up)).to.be.bignumber.equal(
MAX_UINT256_SUB1,
);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256_SUB1, MAX_UINT256, rounding)).to.be.bignumber.equal(
MAX_UINT256_SUB1,
);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256, MAX_UINT256, Rounding.Up)).to.be.bignumber.equal(
MAX_UINT256,
);
expect(await this.math.$mulDiv(MAX_UINT256, MAX_UINT256, MAX_UINT256, rounding)).to.be.bignumber.equal(
MAX_UINT256,
);
}
});
});
});
describe('sqrt', function () {
it('rounds down', async function () {
expect(await this.math.$sqrt('0', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$sqrt('1', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('2', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('3', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('4', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('144', Rounding.Down)).to.be.bignumber.equal('12');
expect(await this.math.$sqrt('999999', Rounding.Down)).to.be.bignumber.equal('999');
expect(await this.math.$sqrt('1000000', Rounding.Down)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1000001', Rounding.Down)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1002000', Rounding.Down)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1002001', Rounding.Down)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt(MAX_UINT256, Rounding.Down)).to.be.bignumber.equal(
'340282366920938463463374607431768211455',
);
for (const rounding of RoundingDown) {
expect(await this.math.$sqrt('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$sqrt('1', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('2', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('3', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('4', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('144', rounding)).to.be.bignumber.equal('12');
expect(await this.math.$sqrt('999999', rounding)).to.be.bignumber.equal('999');
expect(await this.math.$sqrt('1000000', rounding)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1000001', rounding)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1002000', rounding)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1002001', rounding)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt(MAX_UINT256, rounding)).to.be.bignumber.equal(
'340282366920938463463374607431768211455',
);
}
});
it('rounds up', async function () {
expect(await this.math.$sqrt('0', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.$sqrt('1', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('2', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('3', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('4', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('144', Rounding.Up)).to.be.bignumber.equal('12');
expect(await this.math.$sqrt('999999', Rounding.Up)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1000000', Rounding.Up)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1000001', Rounding.Up)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt('1002000', Rounding.Up)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt('1002001', Rounding.Up)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt(MAX_UINT256, Rounding.Up)).to.be.bignumber.equal(
'340282366920938463463374607431768211456',
);
for (const rounding of RoundingUp) {
expect(await this.math.$sqrt('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$sqrt('1', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$sqrt('2', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('3', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('4', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$sqrt('144', rounding)).to.be.bignumber.equal('12');
expect(await this.math.$sqrt('999999', rounding)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1000000', rounding)).to.be.bignumber.equal('1000');
expect(await this.math.$sqrt('1000001', rounding)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt('1002000', rounding)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt('1002001', rounding)).to.be.bignumber.equal('1001');
expect(await this.math.$sqrt(MAX_UINT256, rounding)).to.be.bignumber.equal(
'340282366920938463463374607431768211456',
);
}
});
});
describe('log', function () {
describe('log2', function () {
it('rounds down', async function () {
// For some reason calling .$log2() directly fails
expect(await this.math.methods['$log2(uint256,uint8)']('0', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('1', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('2', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.methods['$log2(uint256,uint8)']('3', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.methods['$log2(uint256,uint8)']('4', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('5', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('6', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('7', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('8', Rounding.Down)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('9', Rounding.Down)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)'](MAX_UINT256, Rounding.Down)).to.be.bignumber.equal(
'255',
);
for (const rounding of RoundingDown) {
expect(await this.math.methods['$log2(uint256,uint8)']('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('1', rounding)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('2', rounding)).to.be.bignumber.equal('1');
expect(await this.math.methods['$log2(uint256,uint8)']('3', rounding)).to.be.bignumber.equal('1');
expect(await this.math.methods['$log2(uint256,uint8)']('4', rounding)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('5', rounding)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('6', rounding)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('7', rounding)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('8', rounding)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('9', rounding)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)'](MAX_UINT256, rounding)).to.be.bignumber.equal('255');
}
});
it('rounds up', async function () {
// For some reason calling .$log2() directly fails
expect(await this.math.methods['$log2(uint256,uint8)']('0', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('1', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('2', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.methods['$log2(uint256,uint8)']('3', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('4', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('5', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('6', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('7', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('8', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('9', Rounding.Up)).to.be.bignumber.equal('4');
expect(await this.math.methods['$log2(uint256,uint8)'](MAX_UINT256, Rounding.Up)).to.be.bignumber.equal('256');
for (const rounding of RoundingUp) {
expect(await this.math.methods['$log2(uint256,uint8)']('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('1', rounding)).to.be.bignumber.equal('0');
expect(await this.math.methods['$log2(uint256,uint8)']('2', rounding)).to.be.bignumber.equal('1');
expect(await this.math.methods['$log2(uint256,uint8)']('3', rounding)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('4', rounding)).to.be.bignumber.equal('2');
expect(await this.math.methods['$log2(uint256,uint8)']('5', rounding)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('6', rounding)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('7', rounding)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('8', rounding)).to.be.bignumber.equal('3');
expect(await this.math.methods['$log2(uint256,uint8)']('9', rounding)).to.be.bignumber.equal('4');
expect(await this.math.methods['$log2(uint256,uint8)'](MAX_UINT256, rounding)).to.be.bignumber.equal('256');
}
});
});
describe('log10', function () {
it('rounds down', async function () {
expect(await this.math.$log10('0', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log10('1', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log10('2', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log10('9', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log10('10', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$log10('11', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$log10('99', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$log10('100', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$log10('101', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$log10('999', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$log10('1000', Rounding.Down)).to.be.bignumber.equal('3');
expect(await this.math.$log10('1001', Rounding.Down)).to.be.bignumber.equal('3');
expect(await this.math.$log10(MAX_UINT256, Rounding.Down)).to.be.bignumber.equal('77');
for (const rounding of RoundingDown) {
expect(await this.math.$log10('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log10('1', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log10('2', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log10('9', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log10('10', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log10('11', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log10('99', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log10('100', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log10('101', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log10('999', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log10('1000', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$log10('1001', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$log10(MAX_UINT256, rounding)).to.be.bignumber.equal('77');
}
});
it('rounds up', async function () {
expect(await this.math.$log10('0', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.$log10('1', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.$log10('2', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$log10('9', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$log10('10', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$log10('11', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$log10('99', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$log10('100', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$log10('101', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.$log10('999', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.$log10('1000', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.$log10('1001', Rounding.Up)).to.be.bignumber.equal('4');
expect(await this.math.$log10(MAX_UINT256, Rounding.Up)).to.be.bignumber.equal('78');
for (const rounding of RoundingUp) {
expect(await this.math.$log10('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log10('1', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log10('2', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log10('9', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log10('10', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log10('11', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log10('99', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log10('100', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log10('101', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$log10('999', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$log10('1000', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$log10('1001', rounding)).to.be.bignumber.equal('4');
expect(await this.math.$log10(MAX_UINT256, rounding)).to.be.bignumber.equal('78');
}
});
});
describe('log256', function () {
it('rounds down', async function () {
expect(await this.math.$log256('0', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log256('1', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log256('2', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log256('255', Rounding.Down)).to.be.bignumber.equal('0');
expect(await this.math.$log256('256', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$log256('257', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$log256('65535', Rounding.Down)).to.be.bignumber.equal('1');
expect(await this.math.$log256('65536', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65537', Rounding.Down)).to.be.bignumber.equal('2');
expect(await this.math.$log256(MAX_UINT256, Rounding.Down)).to.be.bignumber.equal('31');
for (const rounding of RoundingDown) {
expect(await this.math.$log256('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log256('1', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log256('2', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log256('255', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log256('256', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log256('257', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log256('65535', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log256('65536', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65537', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log256(MAX_UINT256, rounding)).to.be.bignumber.equal('31');
}
});
it('rounds up', async function () {
expect(await this.math.$log256('0', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.$log256('1', Rounding.Up)).to.be.bignumber.equal('0');
expect(await this.math.$log256('2', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$log256('255', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$log256('256', Rounding.Up)).to.be.bignumber.equal('1');
expect(await this.math.$log256('257', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65535', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65536', Rounding.Up)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65537', Rounding.Up)).to.be.bignumber.equal('3');
expect(await this.math.$log256(MAX_UINT256, Rounding.Up)).to.be.bignumber.equal('32');
for (const rounding of RoundingUp) {
expect(await this.math.$log256('0', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log256('1', rounding)).to.be.bignumber.equal('0');
expect(await this.math.$log256('2', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log256('255', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log256('256', rounding)).to.be.bignumber.equal('1');
expect(await this.math.$log256('257', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65535', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65536', rounding)).to.be.bignumber.equal('2');
expect(await this.math.$log256('65537', rounding)).to.be.bignumber.equal('3');
expect(await this.math.$log256(MAX_UINT256, rounding)).to.be.bignumber.equal('32');
}
});
});
});