[wpimath] Move math functionality into new wpimath library (#2629)

The wpimath library is a new library designed to separate the reusable math functionality
from the common utility library (wpiutil) and the hardware-dependent library (wpilibc/j).

Package names / include file names were NOT changed to minimize breakage.  In a future year
it would be good to revamp these for a more uniform user experience and to reduce the risk
of accidental naming conflicts.

While theoretically all of this functionality could be placed into wpiutil, several pieces
of this library (e.g. DARE) are very time-consuming to compile, so it's nice to avoid this
expense for users who only want cscore or ntcore.  It also allows for easy future separation
of build tasks vs number of workers on memory-constrained machines.

This moves the following functionality from wpiutil into wpimath:
- Eigen
- ejml
- Drake
- DARE
- wpiutil.math package (Matrix etc)
- units

And the following functionality from wpilibc/j into wpimath:
- Geometry
- Kinematics
- Spline
- Trajectory
- LinearFilter
- MedianFilter
- Feed-forward controllers
This commit is contained in:
Peter Johnson
2020-08-06 23:57:39 -07:00
committed by GitHub
parent ad817d4f23
commit 42993b15c6
463 changed files with 1006 additions and 399 deletions

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/*----------------------------------------------------------------------------*/
/* Copyright (c) 2019-2020 FIRST. All Rights Reserved. */
/* Open Source Software - may be modified and shared by FRC teams. The code */
/* must be accompanied by the FIRST BSD license file in the root directory of */
/* the project. */
/*----------------------------------------------------------------------------*/
#include <wpi/math>
#include "frc/geometry/Translation2d.h"
#include "frc/kinematics/MecanumDriveKinematics.h"
#include "gtest/gtest.h"
#include "units/angular_velocity.h"
using namespace frc;
class MecanumDriveKinematicsTest : public ::testing::Test {
protected:
Translation2d m_fl{12_m, 12_m};
Translation2d m_fr{12_m, -12_m};
Translation2d m_bl{-12_m, 12_m};
Translation2d m_br{-12_m, -12_m};
MecanumDriveKinematics kinematics{m_fl, m_fr, m_bl, m_br};
};
TEST_F(MecanumDriveKinematicsTest, StraightLineInverseKinematics) {
ChassisSpeeds speeds{5_mps, 0_mps, 0_rad_per_s};
auto moduleStates = kinematics.ToWheelSpeeds(speeds);
/*
By equation (13.12) of the state-space-guide, the wheel speeds should
be as follows:
velocities: fl 3.535534 fr 3.535534 rl 3.535534 rr 3.535534
*/
EXPECT_NEAR(3.536, moduleStates.frontLeft.to<double>(), 0.1);
EXPECT_NEAR(3.536, moduleStates.frontRight.to<double>(), 0.1);
EXPECT_NEAR(3.536, moduleStates.rearLeft.to<double>(), 0.1);
EXPECT_NEAR(3.536, moduleStates.rearRight.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, StraightLineForwardKinematics) {
MecanumDriveWheelSpeeds wheelSpeeds{3.536_mps, 3.536_mps, 3.536_mps,
3.536_mps};
auto chassisSpeeds = kinematics.ToChassisSpeeds(wheelSpeeds);
/*
By equation (13.13) of the state-space-guide, the chassis motion from wheel
velocities: fl 3.535534 fr 3.535534 rl 3.535534 rr 3.535534 will be
[[5][0][0]]
*/
EXPECT_NEAR(5.0, chassisSpeeds.vx.to<double>(), 0.1);
EXPECT_NEAR(0.0, chassisSpeeds.vy.to<double>(), 0.1);
EXPECT_NEAR(0.0, chassisSpeeds.omega.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, StrafeInverseKinematics) {
ChassisSpeeds speeds{0_mps, 4_mps, 0_rad_per_s};
auto moduleStates = kinematics.ToWheelSpeeds(speeds);
/*
By equation (13.12) of the state-space-guide, the wheel speeds should
be as follows:
velocities: fl -2.828427 fr 2.828427 rl 2.828427 rr -2.828427
*/
EXPECT_NEAR(-2.828427, moduleStates.frontLeft.to<double>(), 0.1);
EXPECT_NEAR(2.828427, moduleStates.frontRight.to<double>(), 0.1);
EXPECT_NEAR(2.828427, moduleStates.rearLeft.to<double>(), 0.1);
EXPECT_NEAR(-2.828427, moduleStates.rearRight.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, StrafeForwardKinematics) {
MecanumDriveWheelSpeeds wheelSpeeds{-2.828427_mps, 2.828427_mps, 2.828427_mps,
-2.828427_mps};
auto chassisSpeeds = kinematics.ToChassisSpeeds(wheelSpeeds);
/*
By equation (13.13) of the state-space-guide, the chassis motion from wheel
velocities: fl 3.535534 fr 3.535534 rl 3.535534 rr 3.535534 will be
[[5][0][0]]
*/
EXPECT_NEAR(0.0, chassisSpeeds.vx.to<double>(), 0.1);
EXPECT_NEAR(4.0, chassisSpeeds.vy.to<double>(), 0.1);
EXPECT_NEAR(0.0, chassisSpeeds.omega.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, RotationInverseKinematics) {
ChassisSpeeds speeds{0_mps, 0_mps,
units::radians_per_second_t(2 * wpi::math::pi)};
auto moduleStates = kinematics.ToWheelSpeeds(speeds);
/*
By equation (13.12) of the state-space-guide, the wheel speeds should
be as follows:
velocities: fl -106.629191 fr 106.629191 rl -106.629191 rr 106.629191
*/
EXPECT_NEAR(-106.62919, moduleStates.frontLeft.to<double>(), 0.1);
EXPECT_NEAR(106.62919, moduleStates.frontRight.to<double>(), 0.1);
EXPECT_NEAR(-106.62919, moduleStates.rearLeft.to<double>(), 0.1);
EXPECT_NEAR(106.62919, moduleStates.rearRight.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, RotationForwardKinematics) {
MecanumDriveWheelSpeeds wheelSpeeds{-106.62919_mps, 106.62919_mps,
-106.62919_mps, 106.62919_mps};
auto chassisSpeeds = kinematics.ToChassisSpeeds(wheelSpeeds);
/*
By equation (13.13) of the state-space-guide, the chassis motion from wheel
velocities: fl -106.629191 fr 106.629191 rl -106.629191 rr 106.629191 should
be [[0][0][2pi]]
*/
EXPECT_NEAR(0.0, chassisSpeeds.vx.to<double>(), 0.1);
EXPECT_NEAR(0.0, chassisSpeeds.vy.to<double>(), 0.1);
EXPECT_NEAR(2 * wpi::math::pi, chassisSpeeds.omega.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, MixedRotationTranslationInverseKinematics) {
ChassisSpeeds speeds{2_mps, 3_mps, 1_rad_per_s};
auto moduleStates = kinematics.ToWheelSpeeds(speeds);
/*
By equation (13.12) of the state-space-guide, the wheel speeds should
be as follows:
velocities: fl -17.677670 fr 20.506097 rl -13.435029 rr 16.263456
*/
EXPECT_NEAR(-17.677670, moduleStates.frontLeft.to<double>(), 0.1);
EXPECT_NEAR(20.506097, moduleStates.frontRight.to<double>(), 0.1);
EXPECT_NEAR(-13.435, moduleStates.rearLeft.to<double>(), 0.1);
EXPECT_NEAR(16.26, moduleStates.rearRight.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, MixedRotationTranslationForwardKinematics) {
MecanumDriveWheelSpeeds wheelSpeeds{-17.677670_mps, 20.506097_mps,
-13.435_mps, 16.26_mps};
auto chassisSpeeds = kinematics.ToChassisSpeeds(wheelSpeeds);
/*
By equation (13.13) of the state-space-guide, the chassis motion from wheel
velocities: fl -17.677670 fr 20.506097 rl -13.435029 rr 16.263456 should be
[[2][3][1]]
*/
EXPECT_NEAR(2.0, chassisSpeeds.vx.to<double>(), 0.1);
EXPECT_NEAR(3.0, chassisSpeeds.vy.to<double>(), 0.1);
EXPECT_NEAR(1.0, chassisSpeeds.omega.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, OffCenterRotationInverseKinematics) {
ChassisSpeeds speeds{0_mps, 0_mps, 1_rad_per_s};
auto moduleStates = kinematics.ToWheelSpeeds(speeds, m_fl);
/*
By equation (13.12) of the state-space-guide, the wheel speeds should
be as follows:
velocities: fl 0.000000 fr 16.970563 rl -16.970563 rr 33.941125
*/
EXPECT_NEAR(0, moduleStates.frontLeft.to<double>(), 0.1);
EXPECT_NEAR(16.971, moduleStates.frontRight.to<double>(), 0.1);
EXPECT_NEAR(-16.971, moduleStates.rearLeft.to<double>(), 0.1);
EXPECT_NEAR(33.941, moduleStates.rearRight.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, OffCenterRotationForwardKinematics) {
MecanumDriveWheelSpeeds wheelSpeeds{0_mps, 16.971_mps, -16.971_mps,
33.941_mps};
auto chassisSpeeds = kinematics.ToChassisSpeeds(wheelSpeeds);
/*
By equation (13.13) of the state-space-guide, the chassis motion from the
wheel velocities should be [[12][-12][1]]
*/
EXPECT_NEAR(12.0, chassisSpeeds.vx.to<double>(), 0.1);
EXPECT_NEAR(-12, chassisSpeeds.vy.to<double>(), 0.1);
EXPECT_NEAR(1.0, chassisSpeeds.omega.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest,
OffCenterTranslationRotationInverseKinematics) {
ChassisSpeeds speeds{5_mps, 2_mps, 1_rad_per_s};
auto moduleStates = kinematics.ToWheelSpeeds(speeds, m_fl);
/*
By equation (13.12) of the state-space-guide, the wheel speeds should
be as follows:
velocities: fl 2.121320 fr 21.920310 rl -12.020815 rr 36.062446
*/
EXPECT_NEAR(2.12, moduleStates.frontLeft.to<double>(), 0.1);
EXPECT_NEAR(21.92, moduleStates.frontRight.to<double>(), 0.1);
EXPECT_NEAR(-12.02, moduleStates.rearLeft.to<double>(), 0.1);
EXPECT_NEAR(36.06, moduleStates.rearRight.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest,
OffCenterTranslationRotationForwardKinematics) {
MecanumDriveWheelSpeeds wheelSpeeds{2.12_mps, 21.92_mps, -12.02_mps,
36.06_mps};
auto chassisSpeeds = kinematics.ToChassisSpeeds(wheelSpeeds);
/*
By equation (13.13) of the state-space-guide, the chassis motion from the
wheel velocities should be [[17][-10][1]]
*/
EXPECT_NEAR(17.0, chassisSpeeds.vx.to<double>(), 0.1);
EXPECT_NEAR(-10, chassisSpeeds.vy.to<double>(), 0.1);
EXPECT_NEAR(1.0, chassisSpeeds.omega.to<double>(), 0.1);
}
TEST_F(MecanumDriveKinematicsTest, NormalizeTest) {
MecanumDriveWheelSpeeds wheelSpeeds{5_mps, 6_mps, 4_mps, 7_mps};
wheelSpeeds.Normalize(5.5_mps);
double kFactor = 5.5 / 7.0;
EXPECT_NEAR(wheelSpeeds.frontLeft.to<double>(), 5.0 * kFactor, 1E-9);
EXPECT_NEAR(wheelSpeeds.frontRight.to<double>(), 6.0 * kFactor, 1E-9);
EXPECT_NEAR(wheelSpeeds.rearLeft.to<double>(), 4.0 * kFactor, 1E-9);
EXPECT_NEAR(wheelSpeeds.rearRight.to<double>(), 7.0 * kFactor, 1E-9);
}