FParserAutodiffTest Class Reference

Inheritance diagram for FParserAutodiffTest:

Classes
class	ADTest

Public Member Functions
	LIBMESH_CPPUNIT_TEST_SUITE (FParserAutodiffTest)
	CPPUNIT_TEST (runTests)
	CPPUNIT_TEST (registerDerivativeTest)
	CPPUNIT_TEST (registerDerivativeRepeatTest)
	CPPUNIT_TEST_SUITE_END ()
virtual void	setUp ()
void	runTests ()
void	registerDerivativeTest ()
void	registerDerivativeRepeatTest ()

Private Attributes
std::vector< ADTest >	tests

Detailed Description

Definition at line 5 of file autodiff.C.

Member Function Documentation

CPPUNIT_TEST() [1/3]

FParserAutodiffTest::CPPUNIT_TEST

(

registerDerivativeRepeatTest

)

CPPUNIT_TEST() [2/3]

FParserAutodiffTest::CPPUNIT_TEST

(

registerDerivativeTest

)

CPPUNIT_TEST() [3/3]

FParserAutodiffTest::CPPUNIT_TEST

(

runTests

)

CPPUNIT_TEST_SUITE_END()

FParserAutodiffTest::CPPUNIT_TEST_SUITE_END

(

)

LIBMESH_CPPUNIT_TEST_SUITE()

FParserAutodiffTest::LIBMESH_CPPUNIT_TEST_SUITE

(

FParserAutodiffTest

)

registerDerivativeRepeatTest()

void FParserAutodiffTest::registerDerivativeRepeatTest ( )

inline

Definition at line 176 of file autodiff.C.

  {
    LOG_UNIT_TEST;
 
    // now do the same functional form but with a different mapping to see if the cache
    // signature was correctly updated
    FunctionParserAD R;
    std::string func = "x*a";
    R.SetADFlags(FunctionParserAD::ADCacheDerivatives, true);
 
    // Parse the input expression into bytecode
    R.Parse(func, "x,a");
 
    // add a new variable y but do not map it to the da/dx derivative!
    R.AddVariable("y");
    R.RegisterDerivative("a", "x", "a");
 
    // parameter vector
    double p[3];
    double & x = p[0];
    double & a = p[1];
    double & y = p[2];
 
    FunctionParserAD dR(R);
    CPPUNIT_ASSERT_EQUAL (dR.AutoDiff("x"), -1);
    dR.Optimize();
    // dR = a + x*a
 
    FunctionParserAD d2R(dR);
    CPPUNIT_ASSERT_EQUAL (d2R.AutoDiff("x"), -1);
    d2R.Optimize();
    // d2R = 2*a + x*a
 
    // we probe the parsers and check if they agree with the reference solution
    for (x = -1.0; x < 1.0; x+=0.3726)
      for (a = -1.0; a < 1.0; a+=0.2642)
        for (y = -1.0; y < 1.0; y+=0.3156)
          {
            LIBMESH_ASSERT_FP_EQUAL(x*a, R.Eval(p), 1.e-12);
            LIBMESH_ASSERT_FP_EQUAL(a+x*a, dR.Eval(p), 1.e-12);
            LIBMESH_ASSERT_FP_EQUAL(2*a+x*a, d2R.Eval(p), 1.e-12);
          }
  }

registerDerivativeTest()

void FParserAutodiffTest::registerDerivativeTest ( )

inline

Definition at line 134 of file autodiff.C.

  {
    LOG_UNIT_TEST;
 
    FunctionParserAD R;
    std::string func = "x*a";
    R.SetADFlags(FunctionParserAD::ADCacheDerivatives, true);
 
    // Parse the input expression into bytecode
    R.Parse(func, "x,a");
 
    // add a new variable y and map it to the da/dx derivative
    R.AddVariable("y");
    R.RegisterDerivative("a", "x", "y");
 
    // parameter vector
    double p[3];
    double & x = p[0];
    double & a = p[1];
    double & y = p[2];
 
    FunctionParserAD dR(R);
    CPPUNIT_ASSERT_EQUAL (dR.AutoDiff("x"), -1);
    dR.Optimize();
    // dR = a+x*y
 
    FunctionParserAD d2R(dR);
    CPPUNIT_ASSERT_EQUAL (d2R.AutoDiff("x"), -1);
    d2R.Optimize();
    // d2R = 2*y
 
    // we probe the parsers and check if they agree with the reference solution
    for (x = -1.0; x < 1.0; x+=0.3726)
      for (a = -1.0; a < 1.0; a+=0.2642)
        for (y = -1.0; y < 1.0; y+=0.3156)
          {
            LIBMESH_ASSERT_FP_EQUAL(x*a, R.Eval(p),  1.e-12);
            LIBMESH_ASSERT_FP_EQUAL(a+x*y, dR.Eval(p), 1.e-12);
            LIBMESH_ASSERT_FP_EQUAL(2*y, d2R.Eval(p), 1.e-12);
          }
  }

runTests()

void FParserAutodiffTest::runTests ( )

inline

Definition at line 121 of file autodiff.C.

  {
    LOG_UNIT_TEST;
 
    const unsigned int ntests = tests.size();
 
    unsigned int passed = 0;
    for (unsigned i = 0; i < ntests; ++i)
      passed += tests[i].run() ? 1 : 0;
 
    CPPUNIT_ASSERT_EQUAL (passed, ntests);
  }

References tests.

setUp()

virtual void FParserAutodiffTest::setUp ( )

inlinevirtual

Definition at line 95 of file autodiff.C.

  {
    tests.push_back(ADTest("log(x*x) + log2(2*x) + log10(4*x)", 0.1, 3.0));
    tests.push_back(ADTest("sin(-x) + cos(2*x) + tan(4*x)", -5.0, 5.0, 1e-7, 1e-5, 100));
    tests.push_back(ADTest("sinh(-x) + cosh(x/2) + tanh(x/3)", -4.0, 4.0, 0.0001, 1e-5, 100));
    tests.push_back(ADTest("plog(-x,0.01)", 0.001, 0.05, 0.00001, 1e-5, 100));
    tests.push_back(ADTest("2 + 4*x + 8*x^2 + 16*x^3 + 32*x^4", -5.0, 5.0, 1e-5,1e-4));
    tests.push_back(ADTest("1/x^2", 0.01, 2.0, 1e-8));
    tests.push_back(ADTest("sqrt(x*2)", 0.001, 2.0, 1e-6));
    tests.push_back(ADTest("abs(x*2)", -1.99, 2.0));
    tests.push_back(ADTest("asin(-x)", -0.99, 0.99));
    tests.push_back(ADTest("acos(-x)", -0.99, 0.99));
    tests.push_back(ADTest("atan(-x)", -99, 99));
    tests.push_back(ADTest("x*sin(-x)*log(x)*tanh(x)", 0.001, 5, 1e-8));
    tests.push_back(ADTest("exp(-x) + 2*exp2(x)", -1.0, 2.0));
    tests.push_back(ADTest("hypot(2*x,1) - hypot(1,4*x)", -10, 10.0));
    tests.push_back(ADTest("if(x<0, (-x)^3, x^3)", -1.0, 1.0));
    tests.push_back(ADTest("max(x^2-0.5,0)", -1.5, 1.5));
    tests.push_back(ADTest("min(x^2-0.5,0)", -1.5, 1.5));
    tests.push_back(ADTest("atan2(x,1) + atan2(2,x)", -0.99, 0.99));
    tests.push_back(ADTest("0.767^sin(x)", -1.5, 1.5));
    tests.push_back(ADTest("A := sin(x) + tanh(x); A + sqrt(A) - x", 0, 1.5));
    tests.push_back(ADTest("3*sin(2*x)*sin(2*x)", -5.0, 5.0, 1e-7, 1e-5, 100));
    tests.push_back(ADTest("erf(0.5*x)", -2., 2., 1e-6, 1e-5, 100));
  }

References tests.

Member Data Documentation

tests

std::vector<ADTest> FParserAutodiffTest::tests

private

Definition at line 92 of file autodiff.C.

Referenced by runTests(), and setUp().

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The documentation for this class was generated from the following file:

• tests/fparser/autodiff.C