Create a nice general SimpleCappedStateFeedbackLoop

Change-Id: I79e686b1c6d689735b73634ccf9877e00bac4348
diff --git a/frc971/control_loops/BUILD b/frc971/control_loops/BUILD
index 26d00a5..5eeed1d 100644
--- a/frc971/control_loops/BUILD
+++ b/frc971/control_loops/BUILD
@@ -111,3 +111,14 @@
     '//aos/common:macros',
   ],
 )
+
+cc_library(
+  name = 'simple_capped_state_feedback_loop',
+  hdrs = [
+    'simple_capped_state_feedback_loop.h',
+  ],
+  deps = [
+    '//third_party/eigen',
+    ':state_feedback_loop',
+  ],
+)
diff --git a/frc971/control_loops/simple_capped_state_feedback_loop.h b/frc971/control_loops/simple_capped_state_feedback_loop.h
new file mode 100644
index 0000000..38994e0
--- /dev/null
+++ b/frc971/control_loops/simple_capped_state_feedback_loop.h
@@ -0,0 +1,71 @@
+#ifndef FRC971_CONTROL_LOOPS_SIMPLE_CAPPED_STATE_FEEDBACK_LOOP_H_
+#define FRC971_CONTROL_LOOPS_SIMPLE_CAPPED_STATE_FEEDBACK_LOOP_H_
+
+#include "Eigen/Dense"
+
+#include "frc971/control_loops/state_feedback_loop.h"
+
+namespace frc971 {
+namespace control_loops {
+
+// A StateFeedbackLoop which implements CapU based on a simple set of maximum
+// absolute values for each element of U.
+template <int number_of_states, int number_of_inputs, int number_of_outputs>
+class SimpleCappedStateFeedbackLoop
+    : public StateFeedbackLoop<number_of_states, number_of_inputs,
+                               number_of_outputs> {
+ public:
+  SimpleCappedStateFeedbackLoop(StateFeedbackLoop<
+      number_of_states, number_of_inputs, number_of_outputs> &&loop)
+      : StateFeedbackLoop<number_of_states, number_of_inputs,
+                          number_of_outputs>(::std::move(loop)) {}
+
+  void set_max_voltages(
+      const ::Eigen::Array<double, number_of_inputs, 1> &max_voltages) {
+    max_voltages_ = max_voltages;
+  }
+  void set_max_voltage(int i, double max_voltage) {
+    mutable_max_voltage(i) = max_voltage;
+  }
+
+  // Easier to use overloads for number_of_inputs == 1 or 2. Using the wrong one
+  // will result in a compile-time Eigen error about mixing matrices of
+  // different sizes.
+  void set_max_voltages(double v1) {
+    set_max_voltages((::Eigen::Array<double, 1, 1>() << v1).finished());
+  }
+  void set_max_voltages(double v1, double v2) {
+    set_max_voltages((::Eigen::Array<double, 2, 1>() << v1, v2).finished());
+  }
+
+  const ::Eigen::Array<double, number_of_inputs, 1> &max_voltages() const {
+    return max_voltages_;
+  }
+  ::Eigen::Array<double, number_of_inputs, 1> &mutable_max_voltages() {
+    return max_voltages_;
+  }
+
+  double max_voltage(int i) const { return max_voltages()(i, 0); }
+  double max_voltage(double) const = delete;
+  double &mutable_max_voltage(int i) { return mutable_max_voltages()(i, 0); }
+  double &mutable_max_voltage(double) = delete;
+
+  // Don't accidentally call these when you mean to call set_max_voltages
+  // with a low number_of_inputs.
+  void set_max_voltage(double) = delete;
+  void set_max_voltage(double, double) = delete;
+
+ private:
+  void CapU() override {
+    this->mutable_U() =
+        this->U().array().min(max_voltages_).max(-max_voltages_);
+  }
+
+  ::Eigen::Array<double, number_of_inputs, 1> max_voltages_ =
+      ::Eigen::Array<double, number_of_inputs, 1>::Constant(12);
+};
+
+}  // namespace control_loops
+}  // namespace frc971
+
+#endif  // FRC971_CONTROL_LOOPS_SIMPLE_CAPPED_STATE_FEEDBACK_LOOP_H_