Small cleanup after !490
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@ -91,11 +91,11 @@ static inline int arraysize( const T (&v)[S] ) { return S; }
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*
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*
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* @tparam F is a floating point type.
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* @tparam F is a floating point type.
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* @param aRatio is the input (travel) ratio or moving contact (wiper) position, from
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* @param aRatio is the input (travel) ratio or moving contact (wiper) position, from
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* 0%/CCW/left (0) through 50%/mid-travel/center (½) to 100%/CW/right (1).
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* 0%/CCW/left (0) through 50%/mid-travel/center (1/2) to 100%/CW/right (1).
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* @param aMid is the logarithmic laws' output ratio at 50%/mid-travel/center (½)
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* @param aMid is the logarithmic laws' output ratio at 50%/mid-travel/center (1/2)
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* input ratio.
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* input ratio.
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* @param aLaw is the (resistance) law, interpolating from *reverse logarithmic* (0)
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* @param aLaw is the (resistance) law, interpolating from *reverse logarithmic* (0)
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* through *symmetric/linear* (½) to *logarithmic* (1).
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* through *symmetric/linear* (1/2) to *logarithmic* (1).
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* @param aInverse swaps input and output ratios (inverse function, where possible),
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* @param aInverse swaps input and output ratios (inverse function, where possible),
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* if @c true.
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* if @c true.
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* @return the output (resistance or voltage) ratio in [0, 1].
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* @return the output (resistance or voltage) ratio in [0, 1].
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@ -103,6 +103,8 @@ static inline int arraysize( const T (&v)[S] ) { return S; }
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template <typename F>
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template <typename F>
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static F taper( F aRatio, F aMid = 0.5, F aLaw = 1.0, bool aInverse = false )
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static F taper( F aRatio, F aMid = 0.5, F aLaw = 1.0, bool aInverse = false )
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{
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{
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static_assert( std::is_floating_point<F>::value, "F must be floating point" );
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// clamp to [0, 1] and short-cut
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// clamp to [0, 1] and short-cut
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if( aRatio <= 0 )
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if( aRatio <= 0 )
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return 0;
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return 0;
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@ -122,7 +124,7 @@ static F taper( F aRatio, F aMid = 0.5, F aLaw = 1.0, bool aInverse = false )
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t = aInverse ? 0 : 1;
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t = aInverse ? 0 : 1;
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else
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else
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{
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{
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// clamp, and reflect and/or scale for reverse…symmetric…normal laws
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// clamp, and reflect and/or scale for reverse...symmetric...normal laws
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if( aLaw >= 1 )
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if( aLaw >= 1 )
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t = t;
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t = t;
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else if( aLaw <= 0 )
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else if( aLaw <= 0 )
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@ -137,13 +139,13 @@ static F taper( F aRatio, F aMid = 0.5, F aLaw = 1.0, bool aInverse = false )
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F b = std::log( a );
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F b = std::log( a );
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F c = a - 1;
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F c = a - 1;
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// scaling: a = (1 - 1/m)²
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// scaling: a = (1 - 1/m)^2
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// log law: (aᵗ - 1) / (a - 1)
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// log law: (a' - 1) / (a - 1)
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// inverse: logₐ(1 + t (a - 1))
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// inverse: log[a](1 + t (a - 1))
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t = aInverse ? std::log1p( t * c ) / b : std::expm1( t * b ) / c;
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t = aInverse ? ( std::log1p( t * c ) / b ) : ( std::expm1( t * b ) / c );
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}
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}
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// clamp, and scale and/or reflect for reverse…symmetric…normal laws
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// clamp, and scale and/or reflect for reverse...symmetric...normal laws
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if( aLaw >= 1 )
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if( aLaw >= 1 )
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t = t;
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t = t;
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else if( aLaw <= 0 )
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else if( aLaw <= 0 )
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