Represent a cubic polynomial of the form, c_[3] * x^3 + c_[2] * x^2 + c_[1] * x + c_[0].
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#include <curve.h>
Represent a cubic polynomial of the form, c_[3] * x^3 + c_[2] * x^2 + c_[1] * x + c_[0].
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| CubicCurve (const float c3, const float c2, const float c1, const float c0) |
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| CubicCurve (const float *c) |
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| CubicCurve (const CubicInit &init) |
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void | Init (const CubicInit &init) |
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| void | ShiftLeft (const float x_shift) |
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void | ShiftRight (const float x_shift) |
| | Shift the curve along the x-axis: x_shift to the right.
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void | ShiftUp (float y_offset) |
| | Shift the curve along the y-axis by y_offset: y_offset up the y-axis.
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void | ScaleUp (float y_scale) |
| | Scale the curve along the y-axis by a factor of y_scale.
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| float | Evaluate (const float x) const |
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| float | Derivative (const float x) const |
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| float | SecondDerivative (const float x) const |
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| float | ThirdDerivative (const float x) const |
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| bool | UniformCurvature (const Range &x_limits) const |
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| float | Epsilon () const |
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float | Coeff (int i) const |
| | Returns the coefficient for x to the ith power.
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void | SetCoeff (int i, float coeff) |
| | Overrides the coefficent for x to the ith power.
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int | NumCoeff () const |
| | Returns the number of coefficients in this curve.
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bool | operator== (const CubicCurve &rhs) const |
| | Equality. Checks for exact match. Useful for testing.
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bool | operator!= (const CubicCurve &rhs) const |
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std::string | Text () const |
| | A string with the cubic equation. Useful for debugging.
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static const int | kNumCoeff = 4 |
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| float motive::CubicCurve::Derivative |
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const float |
x | ) |
const |
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Return the cubic function's slope at x. f'(x) = 3*c3*x^2 + 2*c2*x + c1
| float motive::CubicCurve::Epsilon |
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Return a value below which floating point precision is unreliable. If we're testing for zero, for instance, we should test against this Epsilon().
| float motive::CubicCurve::Evaluate |
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const float |
x | ) |
const |
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inline |
Return the cubic function's value at x. f(x) = c3*x^3 + c2*x^2 + c1*x + c0
Take advantage of multiply-and-add instructions that are common on FPUs.
| float motive::CubicCurve::SecondDerivative |
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const float |
x | ) |
const |
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inline |
Return the cubic function's second derivative at x. f''(x) = 6*c3*x + 2*c2
| void motive::CubicCurve::ShiftLeft |
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const float |
x_shift | ) |
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Shift the curve along the x-axis: x_shift to the left. That is x_shift becomes the curve's x=0.
| float motive::CubicCurve::ThirdDerivative |
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const float |
x | ) |
const |
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inline |
Return the cubic function's constant third derivative. Even though x is unused, we pass it in for consistency with other curve classes. f'''(x) = 6*c3
| bool motive::CubicCurve::UniformCurvature |
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const Range & |
x_limits | ) |
const |
Returns true if always curving upward or always curving downward on the specified x_limits. That is, returns true if the second derivative has the same sign over all of x_limits.
The documentation for this class was generated from the following file:
