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https://github.com/wpilibsuite/allwpilib
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[wpimath] ApplyDeadband: add a scale param (#3865)
Also templates it in C++ so it can work with both doubles and units.
This commit is contained in:
@@ -33,6 +33,63 @@ public final class MathUtil {
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return Math.max(low, Math.min(value, high));
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}
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/**
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* Returns 0.0 if the given value is within the specified range around zero. The remaining range
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* between the deadband and the maximum magnitude is scaled from 0.0 to the maximum magnitude.
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*
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* @param value Value to clip.
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* @param deadband Range around zero.
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* @param maxMagnitude The maximum magnitude of the input. Can be infinite.
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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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} else {
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return 0.0;
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}
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}
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/**
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* Returns 0.0 if the given value is within the specified range around zero. The remaining range
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* between the deadband and 1.0 is scaled from 0.0 to 1.0.
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@@ -42,15 +99,7 @@ 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) {
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if (Math.abs(value) > deadband) {
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if (value > 0.0) {
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return (value - deadband) / (1.0 - deadband);
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} else {
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return (value + deadband) / (1.0 - deadband);
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}
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} else {
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return 0.0;
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}
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return applyDeadband(value, deadband, 1);
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}
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/**
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@@ -1,23 +0,0 @@
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// Copyright (c) FIRST and other WPILib contributors.
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// Open Source Software; you can modify and/or share it under the terms of
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// the WPILib BSD license file in the root directory of this project.
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#include "frc/MathUtil.h"
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#include <cmath>
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namespace frc {
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double ApplyDeadband(double value, double deadband) {
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if (std::abs(value) > deadband) {
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if (value > 0.0) {
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return (value - deadband) / (1.0 - deadband);
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} else {
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return (value + deadband) / (1.0 - deadband);
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}
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} else {
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return 0.0;
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}
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}
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} // namespace frc
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@@ -8,18 +8,79 @@
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#include <wpi/numbers>
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#include "units/angle.h"
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#include "units/base.h"
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#include "units/math.h"
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namespace frc {
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/**
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* Returns 0.0 if the given value is within the specified range around zero.
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* The remaining range between the deadband and 1.0 is scaled from 0.0 to 1.0.
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* Returns 0.0 if the given value is within the specified range around zero. The
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* remaining range between the deadband and the maximum magnitude is scaled from
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* 0.0 to the maximum magnitude.
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*
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* @param value Value to clip.
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* @param value Value to clip.
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* @param deadband Range around zero.
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* @param maxMagnitude The maximum magnitude of the input (defaults to 1). Can
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* be infinite.
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* @return The value after the deadband is applied.
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*/
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WPILIB_DLLEXPORT
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double ApplyDeadband(double value, double deadband);
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template <typename T,
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typename = std::enable_if_t<std::disjunction_v<
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std::is_floating_point<T>, units::traits::is_unit_t<T>>>>
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T ApplyDeadband(T value, T deadband, T maxMagnitude = T{1.0}) {
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T magnitude;
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if constexpr (std::is_floating_point_v<T>) {
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magnitude = std::abs(value);
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} else {
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magnitude = units::math::abs(value);
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}
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if (magnitude > 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 > T{0.0} ? value - deadband : value + deadband;
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}
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if (value > T{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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} else {
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return T{0.0};
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}
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}
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/**
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* Returns modulus of input.
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@@ -10,7 +10,7 @@ import org.junit.jupiter.api.Test;
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class MathUtilTest {
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@Test
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void testApplyDeadband() {
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void testApplyDeadbandUnityScale() {
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// < 0
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assertEquals(-1.0, MathUtil.applyDeadband(-1.0, 0.02));
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assertEquals((-0.03 + 0.02) / (1.0 - 0.02), MathUtil.applyDeadband(-0.03, 0.02));
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@@ -27,6 +27,27 @@ class MathUtilTest {
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assertEquals(1.0, MathUtil.applyDeadband(1.0, 0.02));
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}
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@Test
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void testApplyDeadbandArbitraryScale() {
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// < 0
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assertEquals(-2.5, MathUtil.applyDeadband(-2.5, 0.02, 2.5));
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assertEquals(0.0, MathUtil.applyDeadband(-0.02, 0.02, 2.5));
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assertEquals(0.0, MathUtil.applyDeadband(-0.01, 0.02, 2.5));
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// == 0
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assertEquals(0.0, MathUtil.applyDeadband(0.0, 0.02, 2.5));
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// > 0
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assertEquals(0.0, MathUtil.applyDeadband(0.01, 0.02, 2.5));
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assertEquals(0.0, MathUtil.applyDeadband(0.02, 0.02, 2.5));
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assertEquals(2.5, MathUtil.applyDeadband(2.5, 0.02, 2.5));
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}
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@Test
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void testApplyDeadbandLargeMaxMagnitude() {
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assertEquals(80.0, MathUtil.applyDeadband(100.0, 20, Double.POSITIVE_INFINITY));
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}
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@Test
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void testInputModulus() {
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// These tests check error wrapping. That is, the result of wrapping the
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@@ -2,6 +2,8 @@
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// Open Source Software; you can modify and/or share it under the terms of
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// the WPILib BSD license file in the root directory of this project.
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#include <limits>
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#include "frc/MathUtil.h"
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#include "gtest/gtest.h"
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#include "units/angle.h"
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@@ -10,7 +12,7 @@
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#define EXPECT_UNITS_NEAR(a, b, c) EXPECT_NEAR((a).value(), (b).value(), c)
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TEST(MathUtilTest, ApplyDeadband) {
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TEST(MathUtilTest, ApplyDeadbandUnityScale) {
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// < 0
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EXPECT_DOUBLE_EQ(-1.0, frc::ApplyDeadband(-1.0, 0.02));
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EXPECT_DOUBLE_EQ((-0.03 + 0.02) / (1.0 - 0.02),
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@@ -29,6 +31,33 @@ TEST(MathUtilTest, ApplyDeadband) {
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EXPECT_DOUBLE_EQ(1.0, frc::ApplyDeadband(1.0, 0.02));
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}
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TEST(MathUtilTest, ApplyDeadbandArbitraryScale) {
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// < 0
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EXPECT_DOUBLE_EQ(-2.5, frc::ApplyDeadband(-2.5, 0.02, 2.5));
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EXPECT_DOUBLE_EQ(0.0, frc::ApplyDeadband(-0.02, 0.02, 2.5));
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EXPECT_DOUBLE_EQ(0.0, frc::ApplyDeadband(-0.01, 0.02, 2.5));
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// == 0
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EXPECT_DOUBLE_EQ(0.0, frc::ApplyDeadband(0.0, 0.02, 2.5));
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// > 0
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EXPECT_DOUBLE_EQ(0.0, frc::ApplyDeadband(0.01, 0.02, 2.5));
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EXPECT_DOUBLE_EQ(0.0, frc::ApplyDeadband(0.02, 0.02, 2.5));
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EXPECT_DOUBLE_EQ(2.5, frc::ApplyDeadband(2.5, 0.02, 2.5));
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}
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TEST(MathUtilTest, ApplyDeadbandUnits) {
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// < 0
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EXPECT_DOUBLE_EQ(
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-20, frc::ApplyDeadband<units::radian_t>(-20_rad, 1_rad, 20_rad).value());
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}
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TEST(MathUtilTest, ApplyDeadbandLargeMaxMagnitude) {
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EXPECT_DOUBLE_EQ(
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80.0,
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frc::ApplyDeadband(100.0, 20.0, std::numeric_limits<double>::infinity()));
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}
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TEST(MathUtilTest, InputModulus) {
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// These tests check error wrapping. That is, the result of wrapping the
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// result of an angle reference minus the measurement.
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