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GaussianEliminationTests.qs
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GaussianEliminationTests.qs
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namespace HiddenShiftKata.GaussianEliminationTests
{
open Microsoft.Quantum.Primitive;
open Microsoft.Quantum.Canon;
open HiddenShiftKata;
operation BasicTest () : Unit
{
let result = GaussianEliminationMod2([
[1, 0],
[1, 1]
]);
AssertIntMatrixEqual(result, [
[1, 0],
[0, 1]
], "");
}
operation FirstColumnHasZerosTest() : Unit
{
let result = GaussianEliminationMod2([
[0, 1, 1],
[0, 0, 1]
]);
AssertIntMatrixEqual(result, [
[0, 1, 0],
[0, 0, 1]
], "");
}
operation MiddleColumnHasZerosTest() : Unit
{
let result = GaussianEliminationMod2([
[1, 0, 1],
[0, 0, 1]
]);
AssertIntMatrixEqual(result, [
[1, 0, 0],
[0, 0, 1]
], "");
}
operation TwoIdenticalRowsTest() : Unit
{
let result = GaussianEliminationMod2([
[1, 1, 0],
[1, 1, 0],
[0, 0, 0]
]);
AssertIntMatrixEqual(result, [
[1, 1, 0],
[0, 0, 0],
[0, 0, 0]
], "");
}
operation OnlyFlipIf1Test () : Unit
{
// In the second column, only one value is 1, so none of the rows should be modified
let result = GaussianEliminationMod2([
[1, 0, 1, 0],
[0, 1, 1, 0],
[0, 0, 0, 0]
]);
AssertIntMatrixEqual(result, [
[1, 0, 1, 0],
[0, 1, 1, 0],
[0, 0, 0, 0]
], "");
}
operation FlipIf1Test () : Unit
{
// In the second column, both the first and third rows and added with the second
let result = GaussianEliminationMod2([
[1, 1, 1, 0],
[0, 1, 1, 0],
[0, 1, 0, 0]
]);
AssertIntMatrixEqual(result, [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0]
], "");
}
operation DoSwapsTest() : Unit
{
// In the second column, both the first and third rows and added with the second
let result = GaussianEliminationMod2([
[0, 0, 1, 0],
[0, 1, 0, 0],
[1, 0, 0, 0]
]);
AssertIntMatrixEqual(result, [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0]
], "");
}
operation EliminateRowTest() : Unit
{
let result = GaussianEliminationMod2([
[0, 0, 1, 0],
[0, 1, 0, 0],
[0, 1, 0, 0],
[1, 0, 0, 0]
]);
AssertIntMatrixEqual(result, [
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 0]
], "");
}
operation BasicKernelTest() : Unit
{
let result = KernelMod2([
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0],
[0, 0, 0, 0]
]);
AssertSubspaceEqual(result, [
[0, 0, 0, 1]
], "");
}
operation TrickyKernelTest() : Unit
{
let result = KernelMod2([
[1, 0, 0, 1],
[0, 1, 1, 1]
]);
AssertSubspaceEqual(result, [
[1, 1, 0, 1],
[0, 1, 1, 0]
], "");
}
operation TwoIdenticalRowsKernelTest() : Unit
{
let result = KernelMod2([
[1, 1, 0],
[1, 1, 0],
[0, 0, 0]
]);
AssertSubspaceEqual(result, [
[1, 1, 0],
[0, 0, 1]
], "");
}
operation NonPivotInMiddleTest() : Unit {
let result = KernelMod2([
[1,0,1,0,0],
[0,1,0,0,0],
[0,0,0,1,0],
[0,0,0,0,1]
]);
AssertSubspaceEqual(result, [
[1, 0, 1, 0, 0]
], "");
}
operation MultipleNonPivotInMiddleTest() : Unit {
let result = KernelMod2([
[1,0,1,0,0],
[0,1,0,0,0],
[0,0,0,0,1]
]);
AssertSubspaceEqual(result, [
[1, 0, 1, 0, 0],
[0, 0, 0, 1, 0]
], "");
}
function AssertIntMatrixEqual(actual: Int[][], expected: Int[][], message: String) : Unit {
AssertIntEqual(Length(actual), Length(expected), message);
for (i in 0..Length(actual)-1) {
AssertBoolEqual(IntVectorEqual(actual[i], expected[i]), true, $"Expected: {expected} Actual: {actual}. {message}");
}
}
function AssertSubspaceEqual(actualBasis: Int[][], expectedBasis: Int[][], message: String) : Unit {
AssertIntEqual(Length(actualBasis), Length(expectedBasis), message);
for (i in 0..Length(actualBasis)-1) {
mutable foundMatch = false;
for (j in 0..Length(expectedBasis) - 1) {
set foundMatch = foundMatch || IntVectorEqual(actualBasis[i], expectedBasis[j]);
}
AssertBoolEqual(foundMatch, true, $"Expected: {expectedBasis} Actual: {actualBasis}. {message}");
}
}
function IntVectorEqual(a: Int[], b: Int[]) : Bool {
if (Length(a) != Length(b)) {
return false;
}
mutable equal = true;
for (i in 0..Length(a)-1) {
set equal = equal && a[i] == b[i];
}
return equal;
}
}