public void PolyInftyNormCoeffmodNET()
{
var poly = new BigPoly("1x^10 + 2x^9 + 5x^8 + Ax^7 + Bx^6 + 4x^5 + 1x^2 + 1");
BigUInt value = new BigUInt();
BigUInt modulus = new BigUInt();
modulus.Set(5);
var inftynorm = Utilities.PolyInftyNormCoeffmod(poly, modulus);
value.Set("2");
Assert.AreEqual(value, inftynorm);
poly.Set("AAx^10 + ABx^9 + CAx^8 + CFx^7 + FEx^6 + F7x^5 + 1x^2 + 2");
modulus.Set("10");
inftynorm = Utilities.PolyInftyNormCoeffmod(poly, modulus);
value.Set("7");
Assert.AreEqual(value, inftynorm);
poly.Set("Ax^10 + ABx^9 + ABCx^8 + ABCDx^7 + ABCDEx^6 + ABCDEFx^5 + 1x^2 + 2");
modulus.Set("4");
inftynorm = Utilities.PolyInftyNormCoeffmod(poly, modulus);
value.Set("2");
Assert.AreEqual(value, inftynorm);
poly.Set("1x^5 + 2x^4 + 3x^3 + 4x^2 + 5x^1 + 6");
modulus.Set("4");
inftynorm = Utilities.PolyInftyNormCoeffmod(poly, modulus);
value.Set("2");
Assert.AreEqual(value, inftynorm);
}
public void TransformPlainToFromNTTNET()
{
var parms = new EncryptionParameters(MemoryPoolHandle.AcquireNew());
parms.SetDecompositionBitCount(4);
parms.SetNoiseStandardDeviation(3.19);
parms.SetNoiseMaxDeviation(35.06);
var coeffModulus = new BigUInt(48);
coeffModulus.Set("FFFFFFFFC001");
parms.SetCoeffModulus(coeffModulus);
var plainModulus = new BigUInt(7);
plainModulus.Set(1 << 6);
parms.SetPlainModulus(plainModulus);
var polyModulus = new BigPoly(65, 1);
polyModulus[0].Set(1);
polyModulus[64].Set(1);
parms.SetPolyModulus(polyModulus);
parms.Validate();
var evaluator = new Evaluator(parms, MemoryPoolHandle.AcquireNew());
var plain = new BigPoly(65, 1);
plain.Set("0");
evaluator.TransformToNTT(plain);
Assert.IsTrue(plain.ToString() == "0");
evaluator.TransformFromNTT(plain);
Assert.IsTrue(plain.ToString() == "0");
plain.Set("1");
evaluator.TransformToNTT(plain);
for (int i = 0; i < 64; i++)
{
Assert.IsTrue(plain[i].ToString() == "1");
}
Assert.IsTrue(plain[64].ToString() == "0");
evaluator.TransformFromNTT(plain);
Assert.IsTrue(plain.ToString() == "1");
plain.Set("2");
evaluator.TransformToNTT(plain);
for (int i = 0; i < 64; i++)
{
Assert.IsTrue(plain[i].ToString() == "2");
}
Assert.IsTrue(plain[64].ToString() == "0");
evaluator.TransformFromNTT(plain);
Assert.IsTrue(plain.ToString() == "2");
plain.Set("Fx^10 + Ex^9 + Dx^8 + Cx^7 + Bx^6 + Ax^5 + 1x^4 + 2x^3 + 3x^2 + 4x^1 + 5");
evaluator.TransformToNTT(plain);
evaluator.TransformFromNTT(plain);
Assert.IsTrue(plain.ToString() == "Fx^10 + Ex^9 + Dx^8 + Cx^7 + Bx^6 + Ax^5 + 1x^4 + 2x^3 + 3x^2 + 4x^1 + 5");
}
public void TransformEncryptedToFromNTTNET()
{
var parms = new EncryptionParameters(MemoryPoolHandle.AcquireNew());
parms.SetDecompositionBitCount(4);
parms.SetNoiseStandardDeviation(3.19);
parms.SetNoiseMaxDeviation(35.06);
var coeffModulus = new BigUInt(48);
coeffModulus.Set("FFFFFFFFC001");
parms.SetCoeffModulus(coeffModulus);
var plainModulus = new BigUInt(7);
plainModulus.Set(1 << 6);
parms.SetPlainModulus(plainModulus);
var polyModulus = new BigPoly(65, 1);
polyModulus[0].Set(1);
polyModulus[64].Set(1);
parms.SetPolyModulus(polyModulus);
parms.Validate();
var keygen = new KeyGenerator(parms, MemoryPoolHandle.AcquireNew());
keygen.Generate();
var encryptor = new Encryptor(parms, keygen.PublicKey, MemoryPoolHandle.AcquireNew());
var evaluator = new Evaluator(parms, MemoryPoolHandle.AcquireNew());
var decryptor = new Decryptor(parms, keygen.SecretKey, MemoryPoolHandle.AcquireNew());
var plain = new BigPoly(65, 1);
var cipher = new BigPolyArray(2, 65, 1);
plain.Set("0");
encryptor.Encrypt(plain, cipher);
evaluator.TransformToNTT(cipher);
evaluator.TransformFromNTT(cipher);
decryptor.Decrypt(cipher, plain);
Assert.IsTrue(plain.ToString() == "0");
plain.Set("1");
encryptor.Encrypt(plain, cipher);
evaluator.TransformToNTT(cipher);
evaluator.TransformFromNTT(cipher);
decryptor.Decrypt(cipher, plain);
Assert.IsTrue(plain.ToString() == "1");
plain.Set("Fx^10 + Ex^9 + Dx^8 + Cx^7 + Bx^6 + Ax^5 + 1x^4 + 2x^3 + 3x^2 + 4x^1 + 5");
encryptor.Encrypt(plain, cipher);
evaluator.TransformToNTT(cipher);
evaluator.TransformFromNTT(cipher);
decryptor.Decrypt(cipher, plain);
Assert.IsTrue(plain.ToString() == "Fx^10 + Ex^9 + Dx^8 + Cx^7 + Bx^6 + Ax^5 + 1x^4 + 2x^3 + 3x^2 + 4x^1 + 5");
}
public void BigPolyFromStringNET()
{
var poly = new BigPoly("9x^2 + 2");
Assert.AreEqual("9x^2 + 2", poly.ToString());
Assert.AreEqual(3, poly.CoeffCount);
Assert.AreEqual(4, poly.CoeffBitCount);
poly.Resize(0, 0);
poly.Set("0");
Assert.AreEqual("0", poly.ToString());
Assert.AreEqual(0, poly.CoeffCount);
Assert.AreEqual(0, poly.CoeffBitCount);
poly.Set("1");
Assert.AreEqual("1", poly.ToString());
Assert.AreEqual(1, poly.CoeffCount);
Assert.AreEqual(1, poly.CoeffBitCount);
poly.Set("123");
Assert.AreEqual("123", poly.ToString());
Assert.AreEqual(1, poly.CoeffCount);
Assert.AreEqual(9, poly.CoeffBitCount);
poly.Set("23x^3");
Assert.AreEqual("23x^3", poly.ToString());
Assert.AreEqual(4, poly.CoeffCount);
Assert.AreEqual(9, poly.CoeffBitCount);
poly.Resize(0, 0);
poly.Set("23x^3");
Assert.AreEqual("23x^3", poly.ToString());
Assert.AreEqual(4, poly.CoeffCount);
Assert.AreEqual(6, poly.CoeffBitCount);
poly.Set("3x^2 + 2x^1");
Assert.AreEqual("3x^2 + 2x^1", poly.ToString());
Assert.AreEqual(4, poly.CoeffCount);
Assert.AreEqual(6, poly.CoeffBitCount);
poly.Set("1x^2 + 2x^1 + 3");
Assert.AreEqual("1x^2 + 2x^1 + 3", poly.ToString());
Assert.AreEqual(4, poly.CoeffCount);
Assert.AreEqual(6, poly.CoeffBitCount);
poly.Set("4x^1");
Assert.AreEqual("4x^1", poly.ToString());
Assert.AreEqual(4, poly.CoeffCount);
Assert.AreEqual(6, poly.CoeffBitCount);
}
public void BigPolyEvalPolyPolyModCoeffModNET()
{
var modulus = new BigUInt("5");
var polymod = new BigPoly("1x^3 + 3x^1 + 1");
var poly_to_eval = new BigPoly("0");
var poly = new BigPoly("0");
var result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("0", result.ToString());
poly_to_eval.Set("1");
poly.Set("0");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("1", result.ToString());
poly_to_eval.Set("4");
poly.Set("0");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("4", result.ToString());
poly_to_eval.Set("4");
poly.Set("1");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("4", result.ToString());
poly_to_eval.Set("0");
poly.Set("1");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("0", result.ToString());
poly_to_eval.Set("1x^1 + 2");
poly.Set("1");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("3", result.ToString());
poly_to_eval.Set("1x^1 + 4");
poly.Set("2x^1 + 1");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("2x^1", result.ToString());
poly_to_eval.Set("1x^1 + 1");
poly.Set("1x^2 + 2x^1 + 3");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("1x^2 + 2x^1 + 4", result.ToString());
poly_to_eval.Set("1x^2 + 1");
poly.Set("1x^2 + 2x^1 + 3");
result = Utilities.PolyEvalPolyPolymodCoeffmod(poly_to_eval, poly, polymod, modulus);
Assert.AreEqual("2x^2 + 4x^1 + 1", result.ToString());
}
public void PolyInftyNormNET()
{
var poly = new BigPoly("1x^10 + 2x^9 + 5x^8 + Ax^7 + Bx^6 + 4x^5 + 1x^2 + 1");
BigUInt value = new BigUInt();
var inftynorm = Utilities.PolyInftyNorm(poly);
value.Set("B");
Assert.AreEqual(value, inftynorm);
poly.Set("AAx^10 + ABx^9 + CAx^8 + CFx^7 + FEx^6 + F7x^5 + 1x^2 + 2");
inftynorm = Utilities.PolyInftyNorm(poly);
value.Set("FE");
Assert.AreEqual(value, inftynorm);
poly.Set("Ax^10 + ABx^9 + ABCx^8 + ABCDx^7 + ABCDEx^6 + ABCDEFx^5 + 1x^2 + 2");
inftynorm = Utilities.PolyInftyNorm(poly);
value.Set("ABCDEF");
Assert.AreEqual(value, inftynorm);
poly.Set("1x^5 + 2x^4 + 3x^3 + 4x^2 + 5x^1 + 6");
inftynorm = Utilities.PolyInftyNorm(poly);
value.Set("6");
Assert.AreEqual(value, inftynorm);
}
public void ExponentiatePolyPolyPolyModCoeffModNET()
{
var poly = new BigPoly("1x^2 + 2x^1 + 3");
var modulus = new BigUInt("5");
var exponent = new BigUInt("1");
var polymod = new BigPoly("1x^3 + 3x^1 + 1");
var result = Utilities.ExponentiatePolyPolymodCoeffmod(poly, exponent, polymod, modulus);
Assert.AreEqual("1x^2 + 2x^1 + 3", result.ToString());
exponent.Set("2");
result = Utilities.ExponentiatePolyPolymodCoeffmod(poly, exponent, polymod, modulus);
Assert.AreEqual("2x^2 + 4x^1", result.ToString());
poly.Set("1");
exponent.Set("2");
result = Utilities.ExponentiatePolyPolymodCoeffmod(poly, exponent, polymod, modulus);
Assert.AreEqual("1", result.ToString());
exponent.Set("F00F000F00");
result = Utilities.ExponentiatePolyPolymodCoeffmod(poly, exponent, polymod, modulus);
Assert.AreEqual("1", result.ToString());
}
public void BigPoly3Coeff100BitsNET()
{
var poly = new BigPoly(3, 100);
Assert.AreEqual(3, poly.CoeffCount);
Assert.AreEqual(100, poly.CoeffBitCount);
Assert.IsTrue(null != poly.Pointer);
Assert.AreEqual(6, poly.UInt64Count);
Assert.AreEqual(0, poly.GetSignificantCoeffCount());
Assert.AreEqual("0", poly.ToString());
Assert.IsTrue(poly.IsZero);
Assert.AreEqual(0UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(0UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(0UL, poly.Pointer[4]);
Assert.AreEqual(0UL, poly.Pointer[5]);
poly[0].Set("1234");
Assert.AreEqual("1234", poly[0].ToString());
Assert.AreEqual(1, poly.GetSignificantCoeffCount());
Assert.AreEqual("1234", poly.ToString());
Assert.IsFalse(poly.IsZero);
Assert.AreEqual(0x1234UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(0UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(0UL, poly.Pointer[4]);
Assert.AreEqual(0UL, poly.Pointer[5]);
poly[2].Set("3211234567812345678");
Assert.AreEqual("3211234567812345678", poly[2].ToString());
Assert.AreEqual(3, poly.GetSignificantCoeffCount());
Assert.AreEqual("3211234567812345678x^2 + 1234", poly.ToString());
Assert.IsFalse(poly.IsZero);
Assert.AreEqual(0x1234UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(0UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(0x1234567812345678UL, poly.Pointer[4]);
Assert.AreEqual(0x321UL, poly.Pointer[5]);
poly.SetZero();
Assert.IsTrue(poly.IsZero);
Assert.AreEqual("0", poly.ToString());
Assert.AreEqual(0UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(0UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(0UL, poly.Pointer[4]);
Assert.AreEqual(0UL, poly.Pointer[5]);
poly[0].Set("123");
poly[1].Set("456");
poly[2].Set("3211234567812345678");
Assert.AreEqual("3211234567812345678x^2 + 456x^1 + 123", poly.ToString());
Assert.AreEqual(3, poly.GetSignificantCoeffCount());
Assert.AreEqual(0x123UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(0x456UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(0x1234567812345678UL, poly.Pointer[4]);
Assert.AreEqual(0x321UL, poly.Pointer[5]);
var poly2 = new BigPoly(3, 64);
poly2[0].Set(1);
poly2[1].Set(2);
poly2[2].Set(3);
Assert.IsFalse(poly.Equals(poly2));
Assert.IsFalse(poly2.Equals(poly));
Assert.AreNotEqual(poly.GetHashCode(), poly2.GetHashCode());
poly.Set(poly2);
Assert.IsTrue(poly.Equals(poly2));
Assert.IsTrue(poly2.Equals(poly));
Assert.AreEqual(poly.GetHashCode(), poly2.GetHashCode());
Assert.AreEqual("3x^2 + 2x^1 + 1", poly.ToString());
Assert.AreEqual(1UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(2UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(3UL, poly.Pointer[4]);
Assert.AreEqual(0UL, poly.Pointer[5]);
poly[0].Set("123");
poly[1].Set("456");
poly[2].Set("3211234567812345678");
poly.Resize(3, 32);
Assert.AreEqual(3, poly.CoeffCount);
Assert.AreEqual(32, poly.CoeffBitCount);
Assert.AreEqual(3, poly.UInt64Count);
Assert.AreEqual("12345678x^2 + 456x^1 + 123", poly.ToString());
Assert.AreEqual(0x123UL, poly.Pointer[0]);
Assert.AreEqual(0x456UL, poly.Pointer[1]);
Assert.AreEqual(0x12345678UL, poly.Pointer[2]);
poly.Resize(4, 100);
Assert.AreEqual(4, poly.CoeffCount);
Assert.AreEqual(100, poly.CoeffBitCount);
Assert.AreEqual("12345678x^2 + 456x^1 + 123", poly.ToString());
Assert.AreEqual(0x123UL, poly.Pointer[0]);
Assert.AreEqual(0UL, poly.Pointer[1]);
Assert.AreEqual(0x456UL, poly.Pointer[2]);
Assert.AreEqual(0UL, poly.Pointer[3]);
Assert.AreEqual(0x12345678UL, poly.Pointer[4]);
Assert.AreEqual(0UL, poly.Pointer[5]);
Assert.AreEqual(0UL, poly.Pointer[6]);
Assert.AreEqual(0UL, poly.Pointer[7]);
poly.Resize(0, 0);
Assert.AreEqual(0, poly.CoeffCount);
Assert.AreEqual(0, poly.CoeffBitCount);
Assert.AreEqual(0, poly.UInt64Count);
Assert.IsTrue(null == poly.Pointer);
Assert.AreEqual(0, poly.GetSignificantCoeffCount());
Assert.IsTrue(poly.IsZero);
Assert.IsFalse(poly.IsAlias);
Assert.AreEqual("0", poly.ToString());
}
public void PolyEvalPolyNET()
{
var polyToEval = new BigPoly("0");
var poly = new BigPoly("0");
var result = new BigPoly(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "0");
polyToEval.Set("1");
poly.Set("0");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "1");
polyToEval.Set("12345ABCDE");
poly.Set("0");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "12345ABCDE");
polyToEval.Set("12345ABCDE");
poly.Set("1");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "12345ABCDE");
polyToEval.Set("0");
poly.Set("1");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "0");
polyToEval.Set("1x^1 + 2");
poly.Set("1");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "3");
polyToEval.Set("1x^1 + FFFFFFF");
poly.Set("2x^1 + 1");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "2x^1 + 10000000");
polyToEval.Set("1x^1 + 1");
poly.Set("1x^100 + 2x^90 + 3x^80 + 4x^70 + 5x^60 + 6x^50 + 7x^40 + 8x^30 + 9x^20 + Ax^10 + B");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "1x^100 + 2x^90 + 3x^80 + 4x^70 + 5x^60 + 6x^50 + 7x^40 + 8x^30 + 9x^20 + Ax^10 + C");
polyToEval.Set("1x^2 + 1");
poly.Set("1x^10 + 2x^9 + 3x^8 + 4x^7 + 5x^6 + 6x^5 + 7x^4 + 8x^3 + 9x^2 + Ax^1 + B");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "1x^20 + 4x^19 + Ax^18 + 14x^17 + 23x^16 + 38x^15 + 54x^14 + 78x^13 + A5x^12 + DCx^11 + 11Ex^10 + 154x^9 + 17Dx^8 + 198x^7 + 1A4x^6 + 1A0x^5 + 18Bx^4 + 164x^3 + 12Ax^2 + DCx^1 + 7A");
polyToEval.Set("1x^3 + 1x^2 + 1");
poly.Set("1x^2 + 1x^1 + 1");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "1x^6 + 3x^5 + 7x^4 + 9x^3 + 9x^2 + 5x^1 + 3");
polyToEval.Set("1x^100 + 2x^95 + 3x^90 + Ax^75 + Bx^70 + Cx^65 + Dx^60 + Fx^30 + Ex^20 + Dx^10 + 1x^9 + 2x^8 + 3x^7 + 4x^6 + 5x^5 + 1x^2 + 1");
poly.Set("1");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "6F");
polyToEval.Set("1x^100 + 2x^95 + 3x^90 + Ax^75 + Bx^70 + Cx^65 + Dx^60 + Fx^30 + Ex^20 + Dx^10 + 1x^9 + 2x^8 + 3x^7 + 4x^6 + 5x^5 + 1x^2 + 1");
poly.Set("3");
result.Set(Utilities.PolyEvalPoly(polyToEval, poly));
Assert.IsTrue(result.ToString() == "5B05B5BB47C5083385621FA57ACC77AAFD787C71");
}
public void ExponentiatePolyNET()
{
int exponent;
var bigPoly = new BigPoly();
var expPoly = new BigPoly();
exponent = 0;
bigPoly.Set("1");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1");
exponent = 0;
bigPoly.Set("1x^1 + A123");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1");
exponent = 0;
bigPoly.Set("Ax^2 + Bx^1 + 1234567890ABCDEF");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1");
exponent = 1;
bigPoly.Set("0");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "0");
exponent = 1;
bigPoly.Set("1");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1");
exponent = 1;
bigPoly.Set("1x^2 + 2x^1 + A123");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1x^2 + 2x^1 + A123");
exponent = 1;
bigPoly.Set("1234567890ABCDEFx^10 + Ax^9 + Bx^1 + C");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1234567890ABCDEFx^10 + Ax^9 + Bx^1 + C");
exponent = 2;
bigPoly.Set("0");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "0");
exponent = 2;
bigPoly.Set("1");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1");
exponent = 2;
bigPoly.Set("1x^1 + A123");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1x^2 + 14246x^1 + 656D0AC9");
exponent = 2;
bigPoly.Set("1x^10 + 2x^5 + 3");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1x^20 + 4x^15 + Ax^10 + Cx^5 + 9");
exponent = 2;
bigPoly.Set("A123x^20");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "656D0AC9x^40");
exponent = 123;
bigPoly.Set("1");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "1");
exponent = 123;
bigPoly.Set("5x^1");
expPoly = Utilities.ExponentiatePoly(bigPoly, exponent);
Assert.IsTrue(expPoly.ToString() == "30684B4BF0E5E24DC014B5AC590720EB9AD08D8DF6046110F8F5AF53B8A61F969267EC1Dx^123");
}