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Feature/2dfunction #73

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merged 13 commits into from
Sep 6, 2024
Merged

Feature/2dfunction #73

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f9cb5ec
Moved a file and removed Table
whaeck Jul 24, 2024
233f29c
Simplifying SingleTableBase
whaeck Jul 24, 2024
d1d171b
Some more simplifications
whaeck Jul 24, 2024
12a7c48
Changing FunctionBase name
whaeck Jul 24, 2024
077a52b
Changing file name
whaeck Jul 24, 2024
2848739
Adding the CRTP interface for a two dimensional function
whaeck Jul 24, 2024
ca1aa9e
Updating interpolators
whaeck Jul 25, 2024
6fede67
Forgot to commit a test
whaeck Jul 25, 2024
7077fa2
Updating interpolation for 2d version, update tests
whaeck Jul 26, 2024
79a9afa
Adding single zone tabulated functions
whaeck Jul 29, 2024
3808b4a
Adding LinLog, LogLog and LogLin single zone tabulated functions
whaeck Jul 29, 2024
41999d8
Adding single zone histogram tabulated function
whaeck Jul 29, 2024
39a5d85
documentation update
whaeck Jul 29, 2024
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6 changes: 5 additions & 1 deletion cmake/unit_testing.cmake
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Expand Up @@ -60,7 +60,6 @@ add_subdirectory( src/scion/interpolation/LinearLinear/test )
add_subdirectory( src/scion/interpolation/LinearLogarithmic/test )
add_subdirectory( src/scion/interpolation/LogarithmicLinear/test )
add_subdirectory( src/scion/interpolation/LogarithmicLogarithmic/test )
add_subdirectory( src/scion/interpolation/Table/test )

add_subdirectory( src/scion/linearisation/ToleranceConvergence/test )
add_subdirectory( src/scion/linearisation/MidpointSplit/test )
Expand All @@ -76,10 +75,15 @@ add_subdirectory( src/scion/math/newton/test )
add_subdirectory( src/scion/math/IntervalDomain/test )
add_subdirectory( src/scion/math/OpenDomain/test )
add_subdirectory( src/scion/math/LinearLinearTable/test )
add_subdirectory( src/scion/math/LinearLinearTableFunction/test )
add_subdirectory( src/scion/math/HistogramTable/test )
add_subdirectory( src/scion/math/HistogramTableFunction/test )
add_subdirectory( src/scion/math/LogLinearTable/test )
add_subdirectory( src/scion/math/LogLinearTableFunction/test )
add_subdirectory( src/scion/math/LinearLogTable/test )
add_subdirectory( src/scion/math/LinearLogTableFunction/test )
add_subdirectory( src/scion/math/LogLogTable/test )
add_subdirectory( src/scion/math/LogLogTableFunction/test )
add_subdirectory( src/scion/math/InterpolationTable/test )
add_subdirectory( src/scion/math/ChebyshevSeries/test )
add_subdirectory( src/scion/math/ChebyshevApproximation/test )
Expand Down
3 changes: 1 addition & 2 deletions python/src/definitions.hpp
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Expand Up @@ -8,7 +8,6 @@

// other includes
#include "scion/linearisation/ToleranceConvergence.hpp"
#include "scion/math/FunctionBase.hpp"

// namespace aliases
namespace python = pybind11;
Expand Down Expand Up @@ -73,7 +72,7 @@ template < typename Component, typename X, typename Y, typename PythonClass >
void addStandardFunctionDefinitions( PythonClass& component ) {

using ToleranceConvergence = njoy::scion::linearisation::ToleranceConvergence< X, Y >;
using DomainVariant = typename njoy::scion::math::FunctionBase< X, Y >::DomainVariant;
using DomainVariant = typename Component::DomainVariant;

// note: for is_same_domain to bind properly, all possible variant members
// must have a default constructor
Expand Down
2 changes: 1 addition & 1 deletion src/scion/interpolation.hpp
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Expand Up @@ -5,4 +5,4 @@
#include "scion/interpolation/LinearLogarithmic.hpp"
#include "scion/interpolation/LogarithmicLinear.hpp"
#include "scion/interpolation/LogarithmicLogarithmic.hpp"
#include "scion/interpolation/Table.hpp"

46 changes: 45 additions & 1 deletion src/scion/interpolation/Histogram/test/Histogram.test.cpp
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Expand Up @@ -15,7 +15,7 @@ SCENARIO( "Histogram" ) {

GIVEN( "Histogram interpolation object" ) {

WHEN( "interpolating an interval" ) {
WHEN( "interpolating an x,y interval" ) {

interpolation::Histogram interpolator{};

Expand All @@ -31,6 +31,29 @@ SCENARIO( "Histogram" ) {
CHECK_THAT( 1., WithinRel( interpolator( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,f(y) interval" ) {

interpolation::Histogram interpolator{};

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return - y; };

CHECK_THAT( 0.0, WithinRel( interpolator( 1.0, 0.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 0.0, WithinRel( interpolator( 1.5, 0.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 0.0, WithinRel( interpolator( 2.0, 0.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.0, WithinRel( interpolator( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.0, WithinRel( interpolator( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.0, WithinRel( interpolator( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( -1.0, WithinRel( interpolator( 1.0, -1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( -1.0, WithinRel( interpolator( 1.5, -1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( -1.0, WithinRel( interpolator( 2.0, -1.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
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} // GIVEN

GIVEN( "histogram interpolation function" ) {
Expand All @@ -49,5 +72,26 @@ SCENARIO( "Histogram" ) {
CHECK_THAT( 1., WithinRel( interpolation::histogram( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,y interval" ) {

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return - y; };

CHECK_THAT( 0.0, WithinRel( interpolation::histogram( 1.0, 0.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 0.0, WithinRel( interpolation::histogram( 1.5, 0.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 0.0, WithinRel( interpolation::histogram( 2.0, 0.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.0, WithinRel( interpolation::histogram( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.0, WithinRel( interpolation::histogram( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.0, WithinRel( interpolation::histogram( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( -1.0, WithinRel( interpolation::histogram( 1.0, -1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( -1.0, WithinRel( interpolation::histogram( 1.5, -1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( -1.0, WithinRel( interpolation::histogram( 2.0, -1.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN
} // SCENARIO
39 changes: 38 additions & 1 deletion src/scion/interpolation/InterpolatorBase.hpp
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Expand Up @@ -23,7 +23,7 @@ namespace interpolation {
/* methods */

/**
* @brief Perform interpolation
* @brief Perform interpolation on x,y tabulated data
*
* @param[in] x the value of x
* @param[in] xLeft the left value on the x interval
Expand All @@ -38,6 +38,43 @@ namespace interpolation {

return static_cast< const Derived* >( this )->interpolate( x, xLeft, xRight, yLeft, yRight );
}

/**
* @brief Perform interpolation on x,f(y) tabulated data
*
* This interpolation works by first evaluating the functions z = f(y) for the value
* of y, and then performing the normal interpolation on the interval defined by
* xl,zl and xr,zr as illustrated here:
*
* fl(y)
* xl - - - # - - - - > left function of y
* |
* x - - - *
* |
* xr - - - # - - - - > right function of y
* |
* fr(y)
*
* As such, this does not do unit-base interpolation.
*
* Since we can reuse the operator() on this base class so the derived class
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* does not need to implement this particular interpolation operation.
*
* @param[in] x the value of x
* @param[in] y the value of y
* @param[in] xLeft the left value on the x interval
* @param[in] xRight the right value on the x interval
* @param[in] fLeft the left function on the y axis
* @param[in] fRight the right function on the y axis
*/
template < typename X, typename Y, typename FLeft, typename FRight = FLeft,
typename Z = decltype( std::declval< FLeft >()( std::declval< Y >() ) ) >
Z operator()( const X& x, const Y& y,
const X& xLeft, const X& xRight,
const FLeft& fLeft, const FRight& fRight ) const noexcept {

return this->operator()( x, xLeft, xRight, fLeft( y ), fRight( y ) );
}
};

} // interpolation namespace
Expand Down
48 changes: 46 additions & 2 deletions src/scion/interpolation/LinearLinear/test/LinearLinear.test.cpp
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Expand Up @@ -15,7 +15,7 @@ SCENARIO( "LinearLinear" ) {

GIVEN( "LinearLinear interpolation object" ) {

WHEN( "interpolating an interval" ) {
WHEN( "interpolating an x,y interval" ) {

interpolation::LinearLinear interpolator{};

Expand All @@ -31,11 +31,34 @@ SCENARIO( "LinearLinear" ) {
CHECK_THAT( 4.0, WithinRel( interpolator( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,f(y) interval" ) {

interpolation::LinearLinear interpolator{};

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return 2 * y; };

CHECK_THAT( 1.0 , WithinRel( interpolator( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.5 , WithinRel( interpolator( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.0 , WithinRel( interpolator( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.5 , WithinRel( interpolator( 1.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 3.75, WithinRel( interpolator( 1.5, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.0 , WithinRel( interpolator( 2.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 4.0 , WithinRel( interpolator( 1.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 6.0 , WithinRel( interpolator( 1.5, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 8.0 , WithinRel( interpolator( 2.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN

GIVEN( "linlin interpolation function" ) {

WHEN( "interpolating an interval" ) {
WHEN( "interpolating an x,y interval" ) {

THEN( "the interpolation is performed correctly" ) {

Expand All @@ -49,5 +72,26 @@ SCENARIO( "LinearLinear" ) {
CHECK_THAT( 4.0, WithinRel( interpolation::linlin( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,y interval" ) {

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return 2 * y; };

CHECK_THAT( 1.0 , WithinRel( interpolation::linlin( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.5 , WithinRel( interpolation::linlin( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.0 , WithinRel( interpolation::linlin( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.5 , WithinRel( interpolation::linlin( 1.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 3.75, WithinRel( interpolation::linlin( 1.5, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.0 , WithinRel( interpolation::linlin( 2.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 4.0 , WithinRel( interpolation::linlin( 1.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 6.0 , WithinRel( interpolation::linlin( 1.5, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 8.0 , WithinRel( interpolation::linlin( 2.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN
} // SCENARIO
49 changes: 47 additions & 2 deletions src/scion/interpolation/LinearLogarithmic/test/LinearLogarithmic.test.cpp
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Expand Up @@ -7,15 +7,16 @@ using Catch::Matchers::WithinRel;
#include "scion/interpolation/LinearLogarithmic.hpp"

// other includes

#include <iostream>
#include <iomanip>
// convenience typedefs
using namespace njoy::scion;

SCENARIO( "LinearLogarithmic" ) {

GIVEN( "LinearLogarithmic interpolation object" ) {

WHEN( "interpolating an interval" ) {
WHEN( "interpolating an x,y interval" ) {

interpolation::LinearLogarithmic interpolator{};

Expand All @@ -31,6 +32,29 @@ SCENARIO( "LinearLogarithmic" ) {
CHECK_THAT( 4.0 , WithinRel( interpolator( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,f(y) interval" ) {

interpolation::LinearLogarithmic interpolator{};

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return 2 * y; };

CHECK_THAT( 1.0 , WithinRel( interpolator( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.58496250072116, WithinRel( interpolator( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.0 , WithinRel( interpolator( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.5 , WithinRel( interpolator( 1.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 3.96240625180289, WithinRel( interpolator( 1.5, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.0 , WithinRel( interpolator( 2.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 4.0 , WithinRel( interpolator( 1.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 6.33985000288462, WithinRel( interpolator( 1.5, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 8.0 , WithinRel( interpolator( 2.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN

GIVEN( "linlog interpolation function" ) {
Expand All @@ -49,5 +73,26 @@ SCENARIO( "LinearLogarithmic" ) {
CHECK_THAT( 4.0 , WithinRel( interpolation::linlog( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,y interval" ) {

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return 2 * y; };

CHECK_THAT( 1.0 , WithinRel( interpolation::linlog( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.58496250072116, WithinRel( interpolation::linlog( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.0 , WithinRel( interpolation::linlog( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.5 , WithinRel( interpolation::linlog( 1.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 3.96240625180289, WithinRel( interpolation::linlog( 1.5, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.0 , WithinRel( interpolation::linlog( 2.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 4.0 , WithinRel( interpolation::linlog( 1.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 6.33985000288462, WithinRel( interpolation::linlog( 1.5, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 8.0 , WithinRel( interpolation::linlog( 2.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN
} // SCENARIO
46 changes: 45 additions & 1 deletion src/scion/interpolation/LogarithmicLinear/test/LogarithmicLinear.test.cpp
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Expand Up @@ -15,7 +15,7 @@ SCENARIO( "LogarithmicLinear" ) {

GIVEN( "LogarithmicLinear interpolation object" ) {

WHEN( "interpolating an interval" ) {
WHEN( "interpolating an x,y interval" ) {

interpolation::LogarithmicLinear interpolator{};

Expand All @@ -31,6 +31,29 @@ SCENARIO( "LogarithmicLinear" ) {
CHECK_THAT( 4., WithinRel( interpolator( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,f(y) interval" ) {

interpolation::LogarithmicLinear interpolator{};

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return 2 * y; };

CHECK_THAT( 1.0 , WithinRel( interpolator( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.41421356237309, WithinRel( interpolator( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.0 , WithinRel( interpolator( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.5 , WithinRel( interpolator( 1.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 3.53553390593274, WithinRel( interpolator( 1.5, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.0 , WithinRel( interpolator( 2.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 4.0 , WithinRel( interpolator( 1.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.65685424949238, WithinRel( interpolator( 1.5, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 8.0 , WithinRel( interpolator( 2.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN

GIVEN( "loglin interpolation function" ) {
Expand All @@ -49,5 +72,26 @@ SCENARIO( "LogarithmicLinear" ) {
CHECK_THAT( 4., WithinRel( interpolation::loglin( 2.0, xLeft, xRight, yLeft, yRight ) ) );
} // THEN
} // WHEN

WHEN( "interpolating an x,y interval" ) {

THEN( "the interpolation is performed correctly" ) {

double xLeft = 1.0;
double xRight = 2.0;
auto fLeft = [] ( double y ) { return y; };
auto fRight = [] ( double y ) { return 2 * y; };

CHECK_THAT( 1.0 , WithinRel( interpolation::loglin( 1.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 1.41421356237309, WithinRel( interpolation::loglin( 1.5, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.0 , WithinRel( interpolation::loglin( 2.0, 1.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 2.5 , WithinRel( interpolation::loglin( 1.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 3.53553390593274, WithinRel( interpolation::loglin( 1.5, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.0 , WithinRel( interpolation::loglin( 2.0, 2.5, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 4.0 , WithinRel( interpolation::loglin( 1.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 5.65685424949238, WithinRel( interpolation::loglin( 1.5, 4.0, xLeft, xRight, fLeft, fRight ) ) );
CHECK_THAT( 8.0 , WithinRel( interpolation::loglin( 2.0, 4.0, xLeft, xRight, fLeft, fRight ) ) );
} // THEN
} // WHEN
} // GIVEN
} // SCENARIO
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