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[wpimath] Adjust applyDeadband logic (#7816)
Reduces nesting by returning when the value is within the deadband. Adjusts the algorithm to handle large values of maxMagnitude naturally (instead of needing a separate check). Reformats the math comments.
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@@ -47,50 +47,51 @@ public final class MathUtil {
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* @return The value after the deadband is applied.
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*/
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public static double applyDeadband(double value, double deadband, double maxMagnitude) {
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if (Math.abs(value) > deadband) {
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if (maxMagnitude / deadband > 1.0e12) {
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// If max magnitude is sufficiently large, the implementation encounters
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// roundoff error. Implementing the limiting behavior directly avoids
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// the problem.
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return value > 0.0 ? value - deadband : value + deadband;
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}
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if (value > 0.0) {
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// Map deadband to 0 and map max to max.
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//
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// y - y₁ = m(x - x₁)
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// y - y₁ = (y₂ - y₁)/(x₂ - x₁) (x - x₁)
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// y = (y₂ - y₁)/(x₂ - x₁) (x - x₁) + y₁
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//
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// (x₁, y₁) = (deadband, 0) and (x₂, y₂) = (max, max).
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// x₁ = deadband
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// y₁ = 0
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// x₂ = max
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// y₂ = max
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//
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// y = (max - 0)/(max - deadband) (x - deadband) + 0
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// y = max/(max - deadband) (x - deadband)
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// y = max (x - deadband)/(max - deadband)
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return maxMagnitude * (value - deadband) / (maxMagnitude - deadband);
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} else {
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// Map -deadband to 0 and map -max to -max.
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//
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// y - y₁ = m(x - x₁)
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// y - y₁ = (y₂ - y₁)/(x₂ - x₁) (x - x₁)
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// y = (y₂ - y₁)/(x₂ - x₁) (x - x₁) + y₁
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//
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// (x₁, y₁) = (-deadband, 0) and (x₂, y₂) = (-max, -max).
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// x₁ = -deadband
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// y₁ = 0
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// x₂ = -max
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// y₂ = -max
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//
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// y = (-max - 0)/(-max + deadband) (x + deadband) + 0
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// y = max/(max - deadband) (x + deadband)
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// y = max (x + deadband)/(max - deadband)
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return maxMagnitude * (value + deadband) / (maxMagnitude - deadband);
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}
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if (Math.abs(value) < deadband) {
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return 0;
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}
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if (value > 0.0) {
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// Map deadband to 0 and map max to max with a linear relationship.
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//
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// y - y₁ = m(x - x₁)
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// y - y₁ = (y₂ - y₁)/(x₂ - x₁) (x - x₁)
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// y = (y₂ - y₁)/(x₂ - x₁) (x - x₁) + y₁
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//
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// (x₁, y₁) = (deadband, 0) and (x₂, y₂) = (max, max).
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//
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// x₁ = deadband
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// y₁ = 0
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// x₂ = max
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// y₂ = max
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// y = (max - 0)/(max - deadband) (x - deadband) + 0
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// y = max/(max - deadband) (x - deadband)
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//
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// To handle high values of max, rewrite so that max only appears on the denominator.
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//
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// y = ((max - deadband) + deadband)/(max - deadband) (x - deadband)
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// y = (1 + deadband/(max - deadband)) (x - deadband)
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return (1 + deadband / (maxMagnitude - deadband)) * (value - deadband);
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} else {
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return 0.0;
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// Map -deadband to 0 and map -max to -max with a linear relationship.
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//
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// y - y₁ = m(x - x₁)
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// y - y₁ = (y₂ - y₁)/(x₂ - x₁) (x - x₁)
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// y = (y₂ - y₁)/(x₂ - x₁) (x - x₁) + y₁
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//
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// (x₁, y₁) = (-deadband, 0) and (x₂, y₂) = (-max, -max).
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//
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// x₁ = -deadband
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// y₁ = 0
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// x₂ = -max
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// y₂ = -max
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// y = (-max - 0)/(-max + deadband) (x + deadband) + 0
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// y = max/(max - deadband) (x + deadband)
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//
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// To handle high values of max, rewrite so that max only appears on the denominator.
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//
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// y = ((max - deadband) + deadband)/(max - deadband) (x + deadband)
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// y = (1 + deadband/(max - deadband)) (x + deadband)
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return (1 + deadband / (maxMagnitude - deadband)) * (value + deadband);
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}
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}
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