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Mathematics CATTolerance

Usage: you must use this class as is. You should never derive it.

public class CATTolerance

Class representing a set of geometric and mathematical tolerances, in order to be compliant with Extreme Scale models (either Small Scale or Large one)

Method Index

o EpsgForAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to an angle.
o EpsgForLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a length.
o EpsgForRelativeTest(): Returns a numerical tolerance which is the same for all scales.
o EpsgForSqrtAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length.
o EpsgForSqrtLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length.
o EpsgForSquareAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to the square of an angle.
o EpsgForSquareLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a square length.
o EpsilonForAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to an angle.
o EpsilonForLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a length.
o EpsilonForRelativeTest(): Returns a numerical tolerance which is the same for all scales.
o EpsilonForSqrtAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length.
o EpsilonForSqrtLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length.
o EpsilonForSquareAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to the square of an angle.
o EpsilonForSquareLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a square length.
o EpsilonfForRelativeTest(): Returns a numerical tolerance (float) which is the same for all scales.
o GetRange()
o GetScaleCategory()
o Infinite(): Returns the maximum float value (non-scaled value).
o LargeEpsgForAngleTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to an angle.
o LargeEpsgForLengthTest(): Returns a numerical tolerance used to perform absolute tests homogeneous to a length.
o LargeEpsgForRelativeTest(): Returns a numerical tolerance which is the same for all scales.
o ModelInfinite(): Retrieves the infinite value.
o ModelSize(): Retrieves the model size.
o SqrtEpsgForRelativeTest(): The numerical tolerance returned by SqrtEpsgForRelativeTest()is the same for all scales.
o SqrtEpsilonForRelativeTest(): Returns a numerical tolerance which is the same for all scales.
o SquareEpsgForRelativeTest(): Returns a numerical tolerance which is the same for all scales.
o SquareEpsilonForRelativeTest(): Returns a numerical tolerance which is the same for all scales.

o ResolutionType: Same definition as in CATGeoFactory.

Methods

o EpsgForAngleTest

public EpsgForAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to an angle. For all scales, it is equal to CATEpsg = 1.e-12

o EpsgForLengthTest

public EpsgForLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a length. homogeneous to a length. For standard scale, it is equal to CATEpsg = 1.e-12 In general it is equal to CATEpsg * scale

o EpsgForRelativeTest

public EpsgForRelativeTest(

)

Returns a numerical tolerance which is the same for all scales. It is equal to CATEpsg=1.e-12 (You can refer to CATMathLimits.h)

o EpsgForSqrtAngleTest

public EpsgForSqrtAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length. For all scales, it is equal to sqrt(CATEpsg) = 1.e-6

o EpsgForSqrtLengthTest

public EpsgForSqrtLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length. For standard scale, it is equal to sqrt(CATEpsg) = 1.e-6 In general it is equal to sqrt(CATEpsg * scale)

o EpsgForSquareAngleTest

public EpsgForSquareAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to the square of an angle. For all scales, it is equal to CATEpsg **2 = 1.e-24 (equal to CATSquareEpsg in CATMathlimits)

o EpsgForSquareLengthTest

public EpsgForSquareLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a square length. For standard scale, it is equal to CATEpsg **2 = 1.e-24 (equal to CATSquareEpsg in CATMathlimits) In general it is equal to (CATEpsg * scale)**2

o EpsilonForAngleTest

public EpsilonForAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to an angle. For all scales, it is equal to CATEpsilon = 1.e-15

o EpsilonForLengthTest

public EpsilonForLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a length. For standard scale, it is equal to CATEpsilon = 1.e-15 In general it is equal to CATEpsilon * scale

o EpsilonForRelativeTest

public EpsilonForRelativeTest(

)

Returns a numerical tolerance which is the same for all scales. It is equal to CATEpsilon=1.e-15 (You can refer to CATMathLimits.h)

o EpsilonForSqrtAngleTest

public EpsilonForSqrtAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length. For all scales, it is equal to sqrt(CATEpsilon) = sqrt(1.e-15)

o EpsilonForSqrtLengthTest

public EpsilonForSqrtLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a sqrt of length. For standard scale, it is equal to sqrt(CATEpsilon) = sqrt(1.e-15) In general it is equal to sqrt(CATEpsilon * scale)

o EpsilonForSquareAngleTest

public EpsilonForSquareAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to the square of an angle. For all scales, it is equal to CATEpsilon **2 = 1.e-30 (equal to CATSquareEpsilon in CATMathlimits)

o EpsilonForSquareLengthTest

public EpsilonForSquareLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a square length. For standard scale, it is equal to CATEpsilon **2 = 1.e-30 (equal to CATSquareEpsilon in CATMathlimits) In general it is equal to (CATEpsilon * scale)**2

o EpsilonfForRelativeTest

public EpsilonfForRelativeTest(

)

Returns a numerical tolerance (float) which is the same for all scales. It is equal to CATEpsilonf=1.e-14 (You can refer to CATMathLimitsf.h)

o GetRange

public GetRange(

)

o GetScaleCategory

public GetScaleCategory(

)

o Infinite

public Infinite(

)

Returns the maximum float value (non-scaled value).

o LargeEpsgForAngleTest

public LargeEpsgForAngleTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to an angle. For all scales, it is equal to 1.e-6

o LargeEpsgForLengthTest

public LargeEpsgForLengthTest(

)

Returns a numerical tolerance used to perform absolute tests homogeneous to a length. For standard scale, it is equal to 1.e-6 (that corresponds to CATSqrtEpsg in CATMathLimits.h) In general it is equal to 1.e-6 * scale

o LargeEpsgForRelativeTest

public LargeEpsgForRelativeTest(

)

Returns a numerical tolerance which is the same for all scales. It is equal to 1.e-6

o ModelInfinite

public ModelInfinite(

)

Retrieves the infinite value.

o ModelSize

public ModelSize(

)

Retrieves the model size.

o SqrtEpsgForRelativeTest

public SqrtEpsgForRelativeTest(

)

The numerical tolerance returned by SqrtEpsgForRelativeTest()is the same for all scales. It is equal to CATSqrtEspg=1.e-6 (You can refer to CATMathLimits.h)

o SqrtEpsilonForRelativeTest

public SqrtEpsilonForRelativeTest(

)

Returns a numerical tolerance which is the same for all scales. It is equal to CATSqrtEspilon=sqrt(1.e-15) (You can refer to CATMathLimits.h)

o SquareEpsgForRelativeTest

public SquareEpsgForRelativeTest(

)

Returns a numerical tolerance which is the same for all scales. It is equal to CATSquareEpsg=1.e-24 (You can refer to CATMathLimits.h)

o SquareEpsilonForRelativeTest

public SquareEpsilonForRelativeTest(

)

Returns a numerical tolerance which is the same for all scales. It is equal to CATSquareEpsilon=1.e-30 (You can refer to CATMathLimits.h)

Enumerated Types

o ResolutionType

enum ResolutionType {
  CatC0,
  CatC1,
  CatC2
}

Same definition as in CATGeoFactory.h

This object is included in the file: CATTolerance.h
If needed, your Imakefile.mk should include the module: CATMathematics

Mathematics writeClassCharacteristic(); CATTolerance

Method Index

Enumerated Type Index

Methods

Enumerated Types

Mathematics CATTolerance