Interface IScalarAffineTransform

All Known Implementing Classes:
BinaryScaleFactor, DecimalScaleFactor, ImpreciseScaleFactor, LongPostOffsetTransform, LongPreOffsetTransform, LongScaleFactor, ScaleFactor, SimpleAffineTransform

public interface IScalarAffineTransform
A one dimensional affine transform, to be used on numerical quantity values (that is, the numbers in front of a unit). In other words, a transformation for numbers consisting of a linear scaling followed by the addition of an offset. Typically, you request a value transform from a source unit to a target unit.

The transform is fully described (apart from numerical precision) by the multiplier and the offset. These methods are intended for when the transform is to be performed on a large number of primitives and possibly in conjunction with other transformations. A coalesced transformation can then be applied to every primitive, optimally by specialized hardware (like a GPU).

  • Method Details

    • getOffset

      double getOffset()
      Returns:
      the offset to be added (after the source value has been multiplied with the multiplier)
    • getMultiplier

      double getMultiplier()
      Returns:
      the multiplier which source values should be multiplied with (before the offset is added)
    • targetOutOfRange

      boolean targetOutOfRange(long srcNumericalValue, long maxAbsValue)
    • targetOutOfRange

      boolean targetOutOfRange(double srcNumericalValue, long maxAbsValue)
    • targetValue

      long targetValue(long srcNumericalValue)
      Parameters:
      srcNumericalValue - a numerical quantity value, expressed in the source unit
      Returns:
      the corresponding numerical quantity value, when expressed in the target unit, rounded to the closest integer that can be represented by a long
    • targetFloor

      long targetFloor(long srcNumericalValue)
      Parameters:
      srcNumericalValue - a numerical quantity value, expressed in the source unit
      Returns:
      the floor of the corresponding numerical quantity value, when expressed in the target unit, clamped to a long
    • targetFloor

      double targetFloor(double srcNumericalValue)
      Parameters:
      srcNumericalValue - a numerical quantity value, expressed in the source unit
      Returns:
      the floor of the corresponding numerical quantity value, when expressed in the target unit
    • targetIntFloor

      int targetIntFloor(Number srcNumericalValue)
      Parameters:
      srcNumericalValue - a numerical quantity value, expressed in the source unit
      Returns:
      the floor of the corresponding numerical quantity value, when expressed in the target unit, clamped to an int
    • targetNumber

      Number targetNumber(long srcNumericalValue)
      Parameters:
      srcNumericalValue - an exact numerical quantity value, expressed in the source unit
      Returns:
      the corresponding numerical quantity value, when expressed in the target unit, as a Long if it can exactly be represented in one, otherwise as some other Number with at least the precision of double
    • targetNumber

      Number targetNumber(Number srcNumericalValue)
      Parameters:
      srcNumericalValue - an exact or inexact numerical quantity value, expressed in the source unit
      Returns:
      the corresponding numerical quantity value, when expressed in the target unit, as a Long if it can exactly be represented in one, otherwise as some other Number with at least the precision of double
    • targetValue

      double targetValue(double srcNumericalValue)
      Parameters:
      srcNumericalValue - a numerical quantity value, expressed in the source unit
      Returns:
      the corresponding numerical quantity value, when expressed in the target unit
    • invert

      Returns:
      the inverse transform
    • isUnity

      boolean isUnity()
      Returns:
      true iff this represents the identity transform
    • isInteger

      boolean isInteger()
      Returns:
      true iff this transform can exactly be described by an integer multiplier followed by an integer offset
    • concat

      Concatenate this transform with innerTransform, such that applying the resulting transform is equivalent to first applying innerTransform and then applying this transform on the resulting value. That is, R(v) = T(I(v)), where R(v) is the resulting transform, T(v) is this transform, and I(v) is innerTransform.

      In this snippet, v1 and v2 should be equal, apart from numerical precision, for any v.

       IScalarAffineTransform R, T = ..., I = ...;
       double v = ...;
      
       R = T.concat(I);
       double v1 = R.targetValue(v);
       double v2 = T.targetValue(I.targetValue(v));
       

      Parameters:
      innerTransform - the transform that should be applied before this transform
      Returns:
      the concatenated transform
    • invertAndConcat

      IScalarAffineTransform invertAndConcat(IScalarAffineTransform innerTransform)
      Concatenate the inverse of this transform with innerTransform, such that applying the resulting transform is equivalent to first applying innerTransform and then applying this inverse of this transform on the resulting value. That is, R(v) = T-1(I(v)), where R(v) is the resulting transform, T-1(v) is the inverse of this transform, and I(v) is innerTransform.

      In this snippet, v1 and v2 should be equal, apart from numerical precision, for any v.

       IScalarAffineTransform R, T = ..., I = ...;
       double v = ...;
      
       R = T.invertAndConcat(I);
       double v1 = R.targetValue(v);
       double v2 = T.invert().targetValue(I.targetValue(v));
       

      Parameters:
      innerTransform - the transform that should be applied before this transform
      Returns:
      the concatenated transform