[wpimath] Add typedefs for common types

This makes complex code significantly easier to read.

frc::Vectord<Size> = Eigen::Vector<double, Size>
frc::Matrixd<Rows, Cols> = Eigen::Matrix<double, Rows, Cols>
This commit is contained in:
Peter Johnson
2022-04-29 22:29:20 -07:00
parent 97c493241f
commit e767605e94
76 changed files with 1136 additions and 1449 deletions

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@@ -6,47 +6,46 @@
#include <cmath>
#include "Eigen/Core"
#include "frc/EigenCore.h"
#include "frc/controller/ControlAffinePlantInversionFeedforward.h"
#include "units/time.h"
namespace frc {
Eigen::Vector<double, 2> Dynamics(const Eigen::Vector<double, 2>& x,
const Eigen::Vector<double, 1>& u) {
return Eigen::Matrix<double, 2, 2>{{1.0, 0.0}, {0.0, 1.0}} * x +
Eigen::Matrix<double, 2, 1>{0.0, 1.0} * u;
Vectord<2> Dynamics(const Vectord<2>& x, const Vectord<1>& u) {
return Matrixd<2, 2>{{1.0, 0.0}, {0.0, 1.0}} * x +
Matrixd<2, 1>{0.0, 1.0} * u;
}
Eigen::Vector<double, 2> StateDynamics(const Eigen::Vector<double, 2>& x) {
return Eigen::Matrix<double, 2, 2>{{1.0, 0.0}, {0.0, 1.0}} * x;
Vectord<2> StateDynamics(const Vectord<2>& x) {
return Matrixd<2, 2>{{1.0, 0.0}, {0.0, 1.0}} * x;
}
TEST(ControlAffinePlantInversionFeedforwardTest, Calculate) {
std::function<Eigen::Vector<double, 2>(const Eigen::Vector<double, 2>&,
const Eigen::Vector<double, 1>&)>
std::function<Vectord<2>(const Vectord<2>&, const Vectord<1>&)>
modelDynamics = [](auto& x, auto& u) { return Dynamics(x, u); };
frc::ControlAffinePlantInversionFeedforward<2, 1> feedforward{
modelDynamics, units::second_t{0.02}};
Eigen::Vector<double, 2> r{2, 2};
Eigen::Vector<double, 2> nextR{3, 3};
Vectord<2> r{2, 2};
Vectord<2> nextR{3, 3};
EXPECT_NEAR(48, feedforward.Calculate(r, nextR)(0, 0), 1e-6);
}
TEST(ControlAffinePlantInversionFeedforwardTest, CalculateState) {
std::function<Eigen::Vector<double, 2>(const Eigen::Vector<double, 2>&)>
modelDynamics = [](auto& x) { return StateDynamics(x); };
std::function<Vectord<2>(const Vectord<2>&)> modelDynamics = [](auto& x) {
return StateDynamics(x);
};
Eigen::Matrix<double, 2, 1> B{0, 1};
Matrixd<2, 1> B{0, 1};
frc::ControlAffinePlantInversionFeedforward<2, 1> feedforward{
modelDynamics, B, units::second_t(0.02)};
Eigen::Vector<double, 2> r{2, 2};
Eigen::Vector<double, 2> nextR{3, 3};
Vectord<2> r{2, 2};
Vectord<2> nextR{3, 3};
EXPECT_NEAR(48, feedforward.Calculate(r, nextR)(0, 0), 1e-6);
}

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@@ -24,40 +24,37 @@ TEST(DifferentialDriveAccelerationLimiterTest, LowLimits) {
DifferentialDriveAccelerationLimiter accelLimiter{plant, trackwidth, maxA,
maxAlpha};
Eigen::Vector<double, 2> x{0.0, 0.0};
Eigen::Vector<double, 2> xAccelLimiter{0.0, 0.0};
Vectord<2> x{0.0, 0.0};
Vectord<2> xAccelLimiter{0.0, 0.0};
// Ensure voltage exceeds acceleration before limiting
{
Eigen::Vector<double, 2> accels =
plant.A() * xAccelLimiter +
plant.B() * Eigen::Vector<double, 2>{12.0, 12.0};
Vectord<2> accels =
plant.A() * xAccelLimiter + plant.B() * Vectord<2>{12.0, 12.0};
units::meters_per_second_squared_t a{(accels(0) + accels(1)) / 2.0};
EXPECT_GT(units::math::abs(a), maxA);
}
{
Eigen::Vector<double, 2> accels =
plant.A() * xAccelLimiter +
plant.B() * Eigen::Vector<double, 2>{-12.0, 12.0};
Vectord<2> accels =
plant.A() * xAccelLimiter + plant.B() * Vectord<2>{-12.0, 12.0};
units::radians_per_second_squared_t alpha{(accels(1) - accels(0)) /
trackwidth.value()};
EXPECT_GT(units::math::abs(alpha), maxAlpha);
}
// Forward
Eigen::Vector<double, 2> u{12.0, 12.0};
Vectord<2> u{12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
auto [left, right] =
accelLimiter.Calculate(units::meters_per_second_t{xAccelLimiter(0)},
units::meters_per_second_t{xAccelLimiter(1)},
units::volt_t{u(0)}, units::volt_t{u(1)});
xAccelLimiter = plant.CalculateX(xAccelLimiter,
Eigen::Vector<double, 2>{left, right}, dt);
xAccelLimiter =
plant.CalculateX(xAccelLimiter, Vectord<2>{left, right}, dt);
Eigen::Vector<double, 2> accels =
plant.A() * xAccelLimiter +
plant.B() * Eigen::Vector<double, 2>{left, right};
Vectord<2> accels =
plant.A() * xAccelLimiter + plant.B() * Vectord<2>{left, right};
units::meters_per_second_squared_t a{(accels(0) + accels(1)) / 2.0};
units::radians_per_second_squared_t alpha{(accels(1) - accels(0)) /
trackwidth.value()};
@@ -66,19 +63,18 @@ TEST(DifferentialDriveAccelerationLimiterTest, LowLimits) {
}
// Backward
u = Eigen::Vector<double, 2>{-12.0, -12.0};
u = Vectord<2>{-12.0, -12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
auto [left, right] =
accelLimiter.Calculate(units::meters_per_second_t{xAccelLimiter(0)},
units::meters_per_second_t{xAccelLimiter(1)},
units::volt_t{u(0)}, units::volt_t{u(1)});
xAccelLimiter = plant.CalculateX(xAccelLimiter,
Eigen::Vector<double, 2>{left, right}, dt);
xAccelLimiter =
plant.CalculateX(xAccelLimiter, Vectord<2>{left, right}, dt);
Eigen::Vector<double, 2> accels =
plant.A() * xAccelLimiter +
plant.B() * Eigen::Vector<double, 2>{left, right};
Vectord<2> accels =
plant.A() * xAccelLimiter + plant.B() * Vectord<2>{left, right};
units::meters_per_second_squared_t a{(accels(0) + accels(1)) / 2.0};
units::radians_per_second_squared_t alpha{(accels(1) - accels(0)) /
trackwidth.value()};
@@ -87,19 +83,18 @@ TEST(DifferentialDriveAccelerationLimiterTest, LowLimits) {
}
// Rotate CCW
u = Eigen::Vector<double, 2>{-12.0, 12.0};
u = Vectord<2>{-12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
auto [left, right] =
accelLimiter.Calculate(units::meters_per_second_t{xAccelLimiter(0)},
units::meters_per_second_t{xAccelLimiter(1)},
units::volt_t{u(0)}, units::volt_t{u(1)});
xAccelLimiter = plant.CalculateX(xAccelLimiter,
Eigen::Vector<double, 2>{left, right}, dt);
xAccelLimiter =
plant.CalculateX(xAccelLimiter, Vectord<2>{left, right}, dt);
Eigen::Vector<double, 2> accels =
plant.A() * xAccelLimiter +
plant.B() * Eigen::Vector<double, 2>{left, right};
Vectord<2> accels =
plant.A() * xAccelLimiter + plant.B() * Vectord<2>{left, right};
units::meters_per_second_squared_t a{(accels(0) + accels(1)) / 2.0};
units::radians_per_second_squared_t alpha{(accels(1) - accels(0)) /
trackwidth.value()};
@@ -123,19 +118,19 @@ TEST(DifferentialDriveAccelerationLimiterTest, HighLimits) {
DifferentialDriveAccelerationLimiter accelLimiter{
plant, trackwidth, 1e3_mps_sq, 1e3_rad_per_s_sq};
Eigen::Vector<double, 2> x{0.0, 0.0};
Eigen::Vector<double, 2> xAccelLimiter{0.0, 0.0};
Vectord<2> x{0.0, 0.0};
Vectord<2> xAccelLimiter{0.0, 0.0};
// Forward
Eigen::Vector<double, 2> u{12.0, 12.0};
Vectord<2> u{12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
auto [left, right] =
accelLimiter.Calculate(units::meters_per_second_t{xAccelLimiter(0)},
units::meters_per_second_t{xAccelLimiter(1)},
units::volt_t{u(0)}, units::volt_t{u(1)});
xAccelLimiter = plant.CalculateX(xAccelLimiter,
Eigen::Vector<double, 2>{left, right}, dt);
xAccelLimiter =
plant.CalculateX(xAccelLimiter, Vectord<2>{left, right}, dt);
EXPECT_DOUBLE_EQ(x(0), xAccelLimiter(0));
EXPECT_DOUBLE_EQ(x(1), xAccelLimiter(1));
@@ -144,15 +139,15 @@ TEST(DifferentialDriveAccelerationLimiterTest, HighLimits) {
// Backward
x.setZero();
xAccelLimiter.setZero();
u = Eigen::Vector<double, 2>{-12.0, -12.0};
u = Vectord<2>{-12.0, -12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
auto [left, right] =
accelLimiter.Calculate(units::meters_per_second_t{xAccelLimiter(0)},
units::meters_per_second_t{xAccelLimiter(1)},
units::volt_t{u(0)}, units::volt_t{u(1)});
xAccelLimiter = plant.CalculateX(xAccelLimiter,
Eigen::Vector<double, 2>{left, right}, dt);
xAccelLimiter =
plant.CalculateX(xAccelLimiter, Vectord<2>{left, right}, dt);
EXPECT_DOUBLE_EQ(x(0), xAccelLimiter(0));
EXPECT_DOUBLE_EQ(x(1), xAccelLimiter(1));
@@ -161,15 +156,15 @@ TEST(DifferentialDriveAccelerationLimiterTest, HighLimits) {
// Rotate CCW
x.setZero();
xAccelLimiter.setZero();
u = Eigen::Vector<double, 2>{-12.0, 12.0};
u = Vectord<2>{-12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
auto [left, right] =
accelLimiter.Calculate(units::meters_per_second_t{xAccelLimiter(0)},
units::meters_per_second_t{xAccelLimiter(1)},
units::volt_t{u(0)}, units::volt_t{u(1)});
xAccelLimiter = plant.CalculateX(xAccelLimiter,
Eigen::Vector<double, 2>{left, right}, dt);
xAccelLimiter =
plant.CalculateX(xAccelLimiter, Vectord<2>{left, right}, dt);
EXPECT_DOUBLE_EQ(x(0), xAccelLimiter(0));
EXPECT_DOUBLE_EQ(x(1), xAccelLimiter(1));

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@@ -19,11 +19,11 @@ TEST(ImplicitModelFollowerTest, SameModel) {
ImplicitModelFollower<2, 2> imf{plant, plant};
Eigen::Vector<double, 2> x{0.0, 0.0};
Eigen::Vector<double, 2> xImf{0.0, 0.0};
Vectord<2> x{0.0, 0.0};
Vectord<2> xImf{0.0, 0.0};
// Forward
Eigen::Vector<double, 2> u{12.0, 12.0};
Vectord<2> u{12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
@@ -33,7 +33,7 @@ TEST(ImplicitModelFollowerTest, SameModel) {
}
// Backward
u = Eigen::Vector<double, 2>{-12.0, -12.0};
u = Vectord<2>{-12.0, -12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
@@ -43,7 +43,7 @@ TEST(ImplicitModelFollowerTest, SameModel) {
}
// Rotate CCW
u = Eigen::Vector<double, 2>{-12.0, 12.0};
u = Vectord<2>{-12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
@@ -68,11 +68,11 @@ TEST(ImplicitModelFollowerTest, SlowerRefModel) {
ImplicitModelFollower<2, 2> imf{plant, plantRef};
Eigen::Vector<double, 2> x{0.0, 0.0};
Eigen::Vector<double, 2> xImf{0.0, 0.0};
Vectord<2> x{0.0, 0.0};
Vectord<2> xImf{0.0, 0.0};
// Forward
Eigen::Vector<double, 2> u{12.0, 12.0};
Vectord<2> u{12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
@@ -84,7 +84,7 @@ TEST(ImplicitModelFollowerTest, SlowerRefModel) {
// Backward
x.setZero();
xImf.setZero();
u = Eigen::Vector<double, 2>{-12.0, -12.0};
u = Vectord<2>{-12.0, -12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);
@@ -96,7 +96,7 @@ TEST(ImplicitModelFollowerTest, SlowerRefModel) {
// Rotate CCW
x.setZero();
xImf.setZero();
u = Eigen::Vector<double, 2>{-12.0, 12.0};
u = Vectord<2>{-12.0, 12.0};
for (auto t = 0_s; t < 3_s; t += dt) {
x = plant.CalculateX(x, u, dt);
xImf = plant.CalculateX(xImf, imf.Calculate(xImf, u), dt);

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@@ -6,21 +6,21 @@
#include <cmath>
#include "Eigen/Core"
#include "frc/EigenCore.h"
#include "frc/controller/LinearPlantInversionFeedforward.h"
#include "units/time.h"
namespace frc {
TEST(LinearPlantInversionFeedforwardTest, Calculate) {
Eigen::Matrix<double, 2, 2> A{{1, 0}, {0, 1}};
Eigen::Matrix<double, 2, 1> B{0, 1};
Matrixd<2, 2> A{{1, 0}, {0, 1}};
Matrixd<2, 1> B{0, 1};
frc::LinearPlantInversionFeedforward<2, 1> feedforward{A, B,
units::second_t(0.02)};
Eigen::Vector<double, 2> r{2, 2};
Eigen::Vector<double, 2> nextR{3, 3};
Vectord<2> r{2, 2};
Vectord<2> nextR{3, 3};
EXPECT_NEAR(47.502599, feedforward.Calculate(r, nextR)(0, 0), 0.002);
}

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@@ -6,7 +6,7 @@
#include <cmath>
#include "Eigen/Core"
#include "frc/EigenCore.h"
#include "frc/controller/LinearQuadraticRegulator.h"
#include "frc/system/LinearSystem.h"
#include "frc/system/plant/DCMotor.h"
@@ -30,7 +30,7 @@ TEST(LinearQuadraticRegulatorTest, ElevatorGains) {
return frc::LinearSystemId::ElevatorSystem(motors, m, r, G);
}();
Eigen::Matrix<double, 1, 2> K =
Matrixd<1, 2> K =
LinearQuadraticRegulator<2, 1>{plant, {0.02, 0.4}, {12.0}, 5.05_ms}.K();
EXPECT_NEAR(522.15314269, K(0, 0), 1e-6);
@@ -54,7 +54,7 @@ TEST(LinearQuadraticRegulatorTest, ArmGains) {
motors, 1.0 / 3.0 * m * r * r, G);
}();
Eigen::Matrix<double, 1, 2> K =
Matrixd<1, 2> K =
LinearQuadraticRegulator<2, 1>{plant, {0.01745, 0.08726}, {12.0}, 5.05_ms}
.K();
@@ -77,7 +77,7 @@ TEST(LinearQuadraticRegulatorTest, FourMotorElevator) {
return frc::LinearSystemId::ElevatorSystem(motors, m, r, G);
}();
Eigen::Matrix<double, 1, 2> K =
Matrixd<1, 2> K =
LinearQuadraticRegulator<2, 1>{plant, {0.1, 0.2}, {12.0}, 20_ms}.K();
EXPECT_NEAR(10.38, K(0, 0), 1e-1);
@@ -99,50 +99,44 @@ TEST(LinearQuadraticRegulatorTest, FourMotorElevator) {
* @param dt Discretization timestep.
*/
template <int States, int Inputs>
Eigen::Matrix<double, Inputs, States> GetImplicitModelFollowingK(
const Eigen::Matrix<double, States, States>& A,
const Eigen::Matrix<double, States, Inputs>& B,
const Eigen::Matrix<double, States, States>& Q,
const Eigen::Matrix<double, Inputs, Inputs>& R,
const Eigen::Matrix<double, States, States>& Aref, units::second_t dt) {
Matrixd<Inputs, States> GetImplicitModelFollowingK(
const Matrixd<States, States>& A, const Matrixd<States, Inputs>& B,
const Matrixd<States, States>& Q, const Matrixd<Inputs, Inputs>& R,
const Matrixd<States, States>& Aref, units::second_t dt) {
// Discretize real dynamics
Eigen::Matrix<double, States, States> discA;
Eigen::Matrix<double, States, Inputs> discB;
Matrixd<States, States> discA;
Matrixd<States, Inputs> discB;
DiscretizeAB<States, Inputs>(A, B, dt, &discA, &discB);
// Discretize desired dynamics
Eigen::Matrix<double, States, States> discAref;
Matrixd<States, States> discAref;
DiscretizeA<States>(Aref, dt, &discAref);
Eigen::Matrix<double, States, States> Qimf =
Matrixd<States, States> Qimf =
(discA - discAref).transpose() * Q * (discA - discAref);
Eigen::Matrix<double, Inputs, Inputs> Rimf =
discB.transpose() * Q * discB + R;
Eigen::Matrix<double, States, Inputs> Nimf =
(discA - discAref).transpose() * Q * discB;
Matrixd<Inputs, Inputs> Rimf = discB.transpose() * Q * discB + R;
Matrixd<States, Inputs> Nimf = (discA - discAref).transpose() * Q * discB;
return LinearQuadraticRegulator<States, Inputs>{A, B, Qimf, Rimf, Nimf, dt}
.K();
}
TEST(LinearQuadraticRegulatorTest, MatrixOverloadsWithSingleIntegrator) {
Eigen::Matrix<double, 2, 2> A{Eigen::Matrix<double, 2, 2>::Zero()};
Eigen::Matrix<double, 2, 2> B{Eigen::Matrix<double, 2, 2>::Identity()};
Eigen::Matrix<double, 2, 2> Q{Eigen::Matrix<double, 2, 2>::Identity()};
Eigen::Matrix<double, 2, 2> R{Eigen::Matrix<double, 2, 2>::Identity()};
Matrixd<2, 2> A{Matrixd<2, 2>::Zero()};
Matrixd<2, 2> B{Matrixd<2, 2>::Identity()};
Matrixd<2, 2> Q{Matrixd<2, 2>::Identity()};
Matrixd<2, 2> R{Matrixd<2, 2>::Identity()};
// QR overload
Eigen::Matrix<double, 2, 2> K =
LinearQuadraticRegulator<2, 2>{A, B, Q, R, 5_ms}.K();
Matrixd<2, 2> K = LinearQuadraticRegulator<2, 2>{A, B, Q, R, 5_ms}.K();
EXPECT_NEAR(0.99750312499512261, K(0, 0), 1e-10);
EXPECT_NEAR(0.0, K(0, 1), 1e-10);
EXPECT_NEAR(0.0, K(1, 0), 1e-10);
EXPECT_NEAR(0.99750312499512261, K(1, 1), 1e-10);
// QRN overload
Eigen::Matrix<double, 2, 2> N{Eigen::Matrix<double, 2, 2>::Identity()};
Eigen::Matrix<double, 2, 2> Kimf =
LinearQuadraticRegulator<2, 2>{A, B, Q, R, N, 5_ms}.K();
Matrixd<2, 2> N{Matrixd<2, 2>::Identity()};
Matrixd<2, 2> Kimf = LinearQuadraticRegulator<2, 2>{A, B, Q, R, N, 5_ms}.K();
EXPECT_NEAR(1.0, Kimf(0, 0), 1e-10);
EXPECT_NEAR(0.0, Kimf(0, 1), 1e-10);
EXPECT_NEAR(0.0, Kimf(1, 0), 1e-10);
@@ -153,21 +147,19 @@ TEST(LinearQuadraticRegulatorTest, MatrixOverloadsWithDoubleIntegrator) {
double Kv = 3.02;
double Ka = 0.642;
Eigen::Matrix<double, 2, 2> A{{0, 1}, {0, -Kv / Ka}};
Eigen::Matrix<double, 2, 1> B{{0}, {1.0 / Ka}};
Eigen::Matrix<double, 2, 2> Q{{1, 0}, {0, 0.2}};
Eigen::Matrix<double, 1, 1> R{0.25};
Matrixd<2, 2> A{{0, 1}, {0, -Kv / Ka}};
Matrixd<2, 1> B{{0}, {1.0 / Ka}};
Matrixd<2, 2> Q{{1, 0}, {0, 0.2}};
Matrixd<1, 1> R{0.25};
// QR overload
Eigen::Matrix<double, 1, 2> K =
LinearQuadraticRegulator<2, 1>{A, B, Q, R, 5_ms}.K();
Matrixd<1, 2> K = LinearQuadraticRegulator<2, 1>{A, B, Q, R, 5_ms}.K();
EXPECT_NEAR(1.9960017786537287, K(0, 0), 1e-10);
EXPECT_NEAR(0.51182128351092726, K(0, 1), 1e-10);
// QRN overload
Eigen::Matrix<double, 2, 2> Aref{{0, 1}, {0, -Kv / (Ka * 2.0)}};
Eigen::Matrix<double, 1, 2> Kimf =
GetImplicitModelFollowingK<2, 1>(A, B, Q, R, Aref, 5_ms);
Matrixd<2, 2> Aref{{0, 1}, {0, -Kv / (Ka * 2.0)}};
Matrixd<1, 2> Kimf = GetImplicitModelFollowingK<2, 1>(A, B, Q, R, Aref, 5_ms);
EXPECT_NEAR(0.0, Kimf(0, 0), 1e-10);
EXPECT_NEAR(-5.367540084534802e-05, Kimf(0, 1), 1e-10);
}

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@@ -6,7 +6,7 @@
#include <cmath>
#include "Eigen/Core"
#include "frc/EigenCore.h"
#include "frc/controller/LinearPlantInversionFeedforward.h"
#include "frc/controller/SimpleMotorFeedforward.h"
#include "units/acceleration.h"
@@ -21,16 +21,16 @@ TEST(SimpleMotorFeedforwardTest, Calculate) {
double Ka = 0.6;
auto dt = 0.02_s;
Eigen::Matrix<double, 1, 1> A{-Kv / Ka};
Eigen::Matrix<double, 1, 1> B{1.0 / Ka};
Matrixd<1, 1> A{-Kv / Ka};
Matrixd<1, 1> B{1.0 / Ka};
frc::LinearPlantInversionFeedforward<1, 1> plantInversion{A, B, dt};
frc::SimpleMotorFeedforward<units::meter> simpleMotor{
units::volt_t{Ks}, units::volt_t{Kv} / 1_mps,
units::volt_t{Ka} / 1_mps_sq};
Eigen::Vector<double, 1> r{2.0};
Eigen::Vector<double, 1> nextR{3.0};
Vectord<1> r{2.0};
Vectord<1> nextR{3.0};
EXPECT_NEAR(37.524995834325161 + Ks,
simpleMotor.Calculate(2_mps, 3_mps, dt).value(), 0.002);