public void CommonChars()
{
TestSupport("digit", DiscreteChar.Digit(), "0123456789", "Ab !Ј");
TestSupport("lower", DiscreteChar.Lower(), "abcdefghixyz", "ABC0123, ");
TestSupport("upper", DiscreteChar.Upper(), "ABCDEFGHUXYZ", "abc0123, ");
TestSupport("letter", DiscreteChar.Letter(), "aBcDeFgGhxyzXYZ", "0123! ,");
TestSupport("letterOrDigit", DiscreteChar.LetterOrDigit(), "abcABC0123xyzXYZ789", " !Ј$,");
TestSupport("wordChar", DiscreteChar.WordChar(), "abc_ABC_0123s", " !:.,");
TestSupport("whitespace", DiscreteChar.Whitespace(), " \t", "abcABC0123,:!");
}
public void ReplaceElements()
{
StringTransducer replace = StringTransducer.Replace(DiscreteChar.Lower(), DiscreteChar.Digit());
StringInferenceTestUtilities.TestTransducerValue(replace, "hello", "123", 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "w", "1337", 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "w", string.Empty, 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, string.Empty, "17", 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, string.Empty, string.Empty, 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "123", "worlds", 0.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "123", "123", 0.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "1", string.Empty, 0.0);
}
public void Repeat2()
{
StringAutomaton automaton = StringAutomaton.Constant(1.0, DiscreteChar.Lower());
StringInferenceTestUtilities.TestValue(automaton, 1.0, string.Empty, "ab", "abcab");
automaton = StringAutomaton.Repeat(automaton);
// Can't use StringInferenceTestUtilities.TestValue here since the value is not infinite in log-domain
// due to approximate closure computations for epsilon-loops
Assert.True(automaton.GetValue(string.Empty) > 1000);
Assert.True(automaton.GetValue("ab") > 1000);
Assert.True(automaton.GetValue("abcab") > 1000);
}
public void Optional()
{
StringAutomaton automaton = StringAutomaton.Constant(1.0, DiscreteChar.Lower());
StringTransducer copy = StringTransducer.Copy(automaton);
StringTransducer copyOptional = StringTransducer.Optional(copy);
StringInferenceTestUtilities.TestTransducerValue(copy, "abc", "abc", 1.0);
StringInferenceTestUtilities.TestTransducerValue(copyOptional, "abc", "abc", 1.0);
StringInferenceTestUtilities.TestTransducerValue(copy, string.Empty, string.Empty, 1.0);
StringInferenceTestUtilities.TestTransducerValue(copyOptional, string.Empty, string.Empty, 2.0);
StringInferenceTestUtilities.TestTransducerValue(copy, "abc", "ab", 0.0);
StringInferenceTestUtilities.TestTransducerValue(copyOptional, "abc", "ab", 0.0);
StringInferenceTestUtilities.TestTransducerValue(copy, "abc", string.Empty, 0.0);
StringInferenceTestUtilities.TestTransducerValue(copyOptional, "abc", string.Empty, 0.0);
}
public void Lower()
{
int lowercaseCharacterCount = DiscreteChar.Lower().GetProbs().Count(p => p > 0);
var lowercaseAutomaton1 = StringDistribution.Lower(minLength: 1, maxLength: 2);
Assert.True(lowercaseAutomaton1.IsProper());
StringInferenceTestUtilities.TestProbability(lowercaseAutomaton1, StringInferenceTestUtilities.StringUniformProbability(1, 2, lowercaseCharacterCount), "a", "bc");
StringInferenceTestUtilities.TestProbability(lowercaseAutomaton1, 0.0, "abc", "BC", "A", string.Empty);
var lowercaseAutomaton2 = StringDistribution.Lower(minLength: 2);
Assert.False(lowercaseAutomaton2.IsProper());
StringInferenceTestUtilities.TestProbability(lowercaseAutomaton2, 1.0, "bc", "abvhrbfijbr");
StringInferenceTestUtilities.TestProbability(lowercaseAutomaton2, 0.0, "a", "BC", "adasdADNdej", string.Empty);
}
public void ConsumeAutomaton()
{
StringAutomaton automaton = StringAutomaton.Constant(2.0, DiscreteChar.Lower());
automaton = automaton.Sum(StringAutomaton.ConstantOnElement(3.0, 'a'));
StringTransducer consume = StringTransducer.Consume(automaton);
StringInferenceTestUtilities.TestTransducerValue(consume, "aaa", string.Empty, 2.0);
StringInferenceTestUtilities.TestTransducerValue(consume, "bb", string.Empty, 2.0);
StringInferenceTestUtilities.TestTransducerValue(consume, "a", string.Empty, 5.0);
StringInferenceTestUtilities.TestTransducerValue(consume, string.Empty, string.Empty, 2.0);
StringInferenceTestUtilities.TestTransducerValue(consume, "bb", "aaa", 0.0);
StringInferenceTestUtilities.TestTransducerValue(consume, "bb", "bb", 0.0);
StringInferenceTestUtilities.TestTransducerValue(consume, string.Empty, "bb", 0.0);
StringInferenceTestUtilities.TestTransducerValue(consume, string.Empty, "a", 0.0);
}
public void Sum()
{
StringTransducer replace = StringTransducer.Sum(
StringTransducer.Replace(DiscreteChar.Lower(), DiscreteChar.Digit()),
StringTransducer.Replace(DiscreteChar.Lower(), DiscreteChar.LetterOrDigit()));
StringInferenceTestUtilities.TestTransducerValue(replace, "hello", "123", 2.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "w", "1337", 2.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "w", string.Empty, 2.0);
StringInferenceTestUtilities.TestTransducerValue(replace, string.Empty, "17", 2.0);
StringInferenceTestUtilities.TestTransducerValue(replace, string.Empty, string.Empty, 2.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "hello", "worlds", 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "hello", "WORLDS111", 1.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "123", "worlds", 0.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "123", "123", 0.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "1", string.Empty, 0.0);
}
public void CopyAutomaton()
{
StringAutomaton automaton = StringAutomaton.ConstantOn(1.0, "prefix1", "prefix2");
automaton.AppendInPlace(StringAutomaton.Constant(1.0, DiscreteChar.Lower()));
automaton.AppendInPlace(StringAutomaton.Constant(1.0, DiscreteChar.Upper()));
automaton.AppendInPlace("!");
StringTransducer copy = StringTransducer.Copy(automaton);
StringInferenceTestUtilities.TestTransducerValue(copy, "prefix1!", "prefix1!", 1.0);
StringInferenceTestUtilities.TestTransducerValue(copy, "prefix2!", "prefix2!", 1.0);
StringInferenceTestUtilities.TestTransducerValue(copy, "prefix1lower!", "prefix1lower!", 1.0);
StringInferenceTestUtilities.TestTransducerValue(copy, "prefix2UPPER!", "prefix2UPPER!", 1.0);
StringInferenceTestUtilities.TestTransducerValue(copy, "prefix1lowerUPPER!", "prefix1lowerUPPER!", 1.0);
StringInferenceTestUtilities.TestIfTransducerRejects(copy, "prefix1lower", "prefix2UPPER", "!", "prefix1lowerUPPER");
StringInferenceTestUtilities.TestTransducerProjection(copy, automaton, "prefix1!", 1.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, automaton, "prefix2!", 1.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, automaton, "prefix1lower!", 1.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, automaton, "prefix2UPPER!", 1.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, automaton, "prefix1lowerUPPER!", 1.0);
StringAutomaton subsetAutomaton = StringAutomaton.ConstantOn(2.0, "prefix1");
subsetAutomaton.AppendInPlace(StringAutomaton.ConstantOn(3.0, "lll", "mmm"));
subsetAutomaton.AppendInPlace(StringAutomaton.ConstantOn(1.5, "!", "U!"));
StringInferenceTestUtilities.TestTransducerProjection(copy, subsetAutomaton, "prefix1lll!", 9.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, subsetAutomaton, "prefix1mmmU!", 9.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, subsetAutomaton, "prefix1!", 0.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, subsetAutomaton, "prefix2lower!", 0.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, subsetAutomaton, "prefix2U!", 0.0);
StringAutomaton supersetAutomaton = StringAutomaton.ConstantOn(1.5, "pr");
supersetAutomaton.AppendInPlace(StringAutomaton.Constant(2.0));
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix1!", 3.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix2!", 3.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix1lower!", 3.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix2UPPER!", 3.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix1lowerUPPER!", 3.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix11!", 0.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prefix1lowerUPPERlower!", 0.0);
StringInferenceTestUtilities.TestTransducerProjection(copy, supersetAutomaton, "prrrrr!", 0.0);
}
public void ReplaceAutomaton()
{
StringAutomaton automaton1 = StringAutomaton.Constant(2.0, DiscreteChar.Lower());
automaton1 = automaton1.Sum(StringAutomaton.ConstantOnElement(3.0, 'a'));
StringAutomaton automaton2 = StringAutomaton.Constant(0.5, DiscreteChar.Digit());
automaton2 = automaton2.Sum(StringAutomaton.Constant(2.5, DiscreteChar.LetterOrDigit()));
StringTransducer replace = StringTransducer.Replace(automaton1, automaton2);
StringInferenceTestUtilities.TestTransducerValue(replace, string.Empty, "123", 6.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "a", "123", 15.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "ax", "AbC", 5.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "a", "a", 12.5);
StringInferenceTestUtilities.TestTransducerValue(replace, string.Empty, string.Empty, 6.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "123", string.Empty, 0.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "AbC", "ax", 0.0);
StringInferenceTestUtilities.TestTransducerValue(replace, "1", "1", 0.0);
}
public void UniformOf()
{
var unif1 = StringDistribution.ZeroOrMore(DiscreteChar.Lower());
Assert.False(unif1.IsUniform());
Assert.False(unif1.IsProper());
StringInferenceTestUtilities.TestProbability(unif1, 1.0, "hello", "a", string.Empty);
StringInferenceTestUtilities.TestProbability(unif1, 0.0, "123", "!", "Abc");
// Test if non-uniform element distribution does not affect the outcome
Vector probs = DiscreteChar.Digit().GetProbs();
probs['1'] = 0;
probs['2'] = 0.3;
probs['3'] = 0.0001;
var unif2 = StringDistribution.ZeroOrMore(DiscreteChar.FromVector(probs));
StringInferenceTestUtilities.TestProbability(unif2, 1.0, "0", "234", string.Empty);
StringInferenceTestUtilities.TestProbability(unif2, 0.0, "1", "231", "!", "Abc");
}
public void Capitalized()
{
int lowercaseCharacterCount = DiscreteChar.Lower().GetProbs().Count(p => p > 0);
int uppercaseCharacterCount = DiscreteChar.Upper().GetProbs().Count(p => p > 0);
var capitalizedAutomaton1 = StringDistribution.Capitalized(minLength: 3, maxLength: 5);
Assert.True(capitalizedAutomaton1.IsProper());
StringInferenceTestUtilities.TestProbability(
capitalizedAutomaton1,
StringInferenceTestUtilities.StringUniformProbability(2, 4, lowercaseCharacterCount) / uppercaseCharacterCount,
"Abc",
"Bcde",
"Abcde");
StringInferenceTestUtilities.TestProbability(capitalizedAutomaton1, 0.0, "A", "abc", "Ab", "Abcdef", string.Empty);
var capitalizedAutomaton2 = StringDistribution.Capitalized(minLength: 3);
Assert.False(capitalizedAutomaton2.IsProper());
StringInferenceTestUtilities.TestProbability(capitalizedAutomaton2, 1.0, "Abc", "Bcde", "Abcde", "Abfjrhfjlrl");
StringInferenceTestUtilities.TestProbability(capitalizedAutomaton2, 0.0, "A", "abc", "Ab", string.Empty);
}
public void MessageOperatorsTest()
{
int lowercaseCharacterCount = DiscreteChar.Lower().GetProbs().Count(p => p > 0);
int uppercaseCharacterCount = DiscreteChar.Upper().GetProbs().Count(p => p > 0);
StringDistribution strDist1 = StringDistribution.OneOf("a", "b", "abc", "ab", "bcd", "d", string.Empty);
DiscreteChar charDist1 = SingleOp.CharacterAverageConditional(strDist1);
Assert.Equal(1.0 / 3.0, charDist1['a'], ProbEps);
Assert.Equal(1.0 / 3.0, charDist1['b'], ProbEps);
Assert.Equal(1.0 / 3.0, charDist1['d'], ProbEps);
StringDistribution strDist2 = StringDistribution.OneOf(strDist1, StringDistribution.OneOf("b", "d"));
DiscreteChar charDist2 = SingleOp.CharacterAverageConditional(strDist2);
Assert.Equal(1.0 / 10.0, charDist2['a'], ProbEps);
Assert.Equal(4.5 / 10.0, charDist2['b'], ProbEps);
Assert.Equal(4.5 / 10.0, charDist2['d'], ProbEps);
StringDistribution strDist3 = StringDistribution.Letters(minLength: 0);
DiscreteChar charDist3 = SingleOp.CharacterAverageConditional(strDist3);
Assert.Equal(1.0 / (lowercaseCharacterCount + uppercaseCharacterCount), charDist3['a'], ProbEps);
Assert.Equal(1.0 / (lowercaseCharacterCount + uppercaseCharacterCount), charDist3['B'], ProbEps);
Assert.Equal(1.0 / (lowercaseCharacterCount + uppercaseCharacterCount), charDist3['d'], ProbEps);
StringDistribution strDist4 = StringDistribution.OneOf(strDist3, StringDistribution.Lower(minLength: 0));
DiscreteChar charDist4 = SingleOp.CharacterAverageConditional(strDist4);
Assert.Equal(2.0 / (2 * lowercaseCharacterCount + uppercaseCharacterCount), charDist4['a'], ProbEps);
Assert.Equal(1.0 / (2 * lowercaseCharacterCount + uppercaseCharacterCount), charDist4['B'], ProbEps);
Assert.Equal(2.0 / (2 * lowercaseCharacterCount + uppercaseCharacterCount), charDist4['d'], ProbEps);
StringDistribution strDist5 = StringDistribution.String("XX").Append(strDist4);
Assert.Throws <AllZeroException>(() => SingleOp.CharacterAverageConditional(strDist5));
}
public void WordModel()
{
// We want to build a word model as a reasonably simple StringDistribution. It
// should satisfy the following:
// (1) The probability of a word of moderate length should not be
// significantly less than the probability of a shorter word.
// (2) The probability of a specific word conditioned on its length matches that of
// words in the target language.
// We achieve this by putting non-normalized character distributions on the edges. The
// StringDistribution is unaware that these are non-normalized.
// The StringDistribution itself is non-normalizable.
const double TargetProb1 = 0.05;
const double Ratio1 = 0.4;
const double TargetProb2 = TargetProb1 * Ratio1;
const double Ratio2 = 0.2;
const double TargetProb3 = TargetProb2 * Ratio2;
const double TargetProb4 = TargetProb3 * Ratio2;
const double TargetProb5 = TargetProb4 * Ratio2;
const double Ratio3 = 0.999;
const double TargetProb6 = TargetProb5 * Ratio3;
const double TargetProb7 = TargetProb6 * Ratio3;
const double TargetProb8 = TargetProb7 * Ratio3;
const double Ratio4 = 0.9;
const double TargetProb9 = TargetProb8 * Ratio4;
const double TargetProb10 = TargetProb9 * Ratio4;
var targetProbabilitiesPerLength = new double[]
{
TargetProb1, TargetProb2, TargetProb3, TargetProb4, TargetProb5, TargetProb6, TargetProb7, TargetProb8, TargetProb9, TargetProb10
};
var charDistUpper = DiscreteChar.Upper();
var charDistLower = DiscreteChar.Lower();
var charDistUpperNarrow = DiscreteChar.OneOf('A', 'B');
var charDistLowerNarrow = DiscreteChar.OneOf('a', 'b');
var charDistUpperScaled = DiscreteChar.Uniform();
var charDistLowerScaled1 = DiscreteChar.Uniform();
var charDistLowerScaled2 = DiscreteChar.Uniform();
var charDistLowerScaled3 = DiscreteChar.Uniform();
var charDistLowerScaledEnd = DiscreteChar.Uniform();
charDistUpperScaled.SetToPartialUniformOf(charDistUpper, Math.Log(TargetProb1));
charDistLowerScaled1.SetToPartialUniformOf(charDistLower, Math.Log(Ratio1));
charDistLowerScaled2.SetToPartialUniformOf(charDistLower, Math.Log(Ratio2));
charDistLowerScaled3.SetToPartialUniformOf(charDistLower, Math.Log(Ratio3));
charDistLowerScaledEnd.SetToPartialUniformOf(charDistLower, Math.Log(Ratio4));
var wordModel = StringDistribution.Concatenate(
new List <DiscreteChar>
{
charDistUpperScaled,
charDistLowerScaled1,
charDistLowerScaled2,
charDistLowerScaled2,
charDistLowerScaled2,
charDistLowerScaled3,
charDistLowerScaled3,
charDistLowerScaled3,
charDistLowerScaledEnd
},
true,
true);
const string Word = "Abcdefghij";
const double Eps = 1e-5;
var broadDist = StringDistribution.Char(charDistUpper);
var narrowDist = StringDistribution.Char(charDistUpperNarrow);
var narrowWord = "A";
var expectedProbForNarrow = 0.5;
for (var i = 0; i < targetProbabilitiesPerLength.Length; i++)
{
var currentWord = Word.Substring(0, i + 1);
var probCurrentWord = Math.Exp(wordModel.GetLogProb(currentWord));
Assert.Equal(targetProbabilitiesPerLength[i], probCurrentWord, Eps);
var logAvg = Math.Exp(wordModel.GetLogAverageOf(broadDist));
Assert.Equal(targetProbabilitiesPerLength[i], logAvg, Eps);
var prod = StringDistribution.Zero();
prod.SetToProduct(broadDist, wordModel);
Xunit.Assert.True(prod.GetWorkspaceOrPoint().HasElementLogValueOverrides);
probCurrentWord = Math.Exp(prod.GetLogProb(currentWord));
Assert.Equal(targetProbabilitiesPerLength[i], probCurrentWord, Eps);
prod.SetToProduct(narrowDist, wordModel);
Xunit.Assert.False(prod.GetWorkspaceOrPoint().HasElementLogValueOverrides);
var probNarrowWord = Math.Exp(prod.GetLogProb(narrowWord));
Assert.Equal(expectedProbForNarrow, probNarrowWord, Eps);
broadDist = broadDist.Append(charDistLower);
narrowDist = narrowDist.Append(charDistLowerNarrow);
narrowWord += "a";
expectedProbForNarrow *= 0.5;
}
// Copied model
var copiedModel = StringDistribution.FromWorkspace(StringTransducer.Copy().ProjectSource(wordModel.GetWorkspaceOrPoint()));
// Under transducer.
for (var i = 0; i < targetProbabilitiesPerLength.Length; i++)
{
var currentWord = Word.Substring(0, i + 1);
var probCurrentWord = Math.Exp(copiedModel.GetLogProb(currentWord));
Assert.Equal(targetProbabilitiesPerLength[i], probCurrentWord, Eps);
}
// Rescaled model
var scale = 0.5;
var newTargetProb1 = TargetProb1 * scale;
var charDistUpperScaled1 = DiscreteChar.Uniform();
charDistUpperScaled1.SetToPartialUniformOf(charDistUpper, Math.Log(newTargetProb1));
var reWeightingTransducer =
StringTransducer.Replace(StringDistribution.Char(charDistUpper).GetWorkspaceOrPoint(), StringDistribution.Char(charDistUpperScaled1).GetWorkspaceOrPoint())
.Append(StringTransducer.Copy());
var reWeightedWordModel = StringDistribution.FromWorkspace(reWeightingTransducer.ProjectSource(wordModel.GetWorkspaceOrPoint()));
for (var i = 0; i < targetProbabilitiesPerLength.Length; i++)
{
var currentWord = Word.Substring(0, i + 1);
var probCurrentWord = Math.Exp(reWeightedWordModel.GetLogProb(currentWord));
Assert.Equal(scale * targetProbabilitiesPerLength[i], probCurrentWord, Eps);
}
}