add py module

include/autoopt/quadric.hpp

@@ -1,7 +1,7 @@
 #pragma once
 
-#include <cmath>
 #include <autoopt/derivative.hpp>
+#include <cmath>
 
 namespace autoopt {
 
@@ -34,6 +34,14 @@ struct quadric {
     return quadric(A_new, B_new, C_new, D_new, E_new, F_new);
   }
 
+  constexpr quadric translated_by(T x_o, T y_o) const {
+    T D_new = _D - T{2} * _A * x_o - _B * y_o;
+    T E_new = _E - _B * x_o - T{2} * _C * y_o;
+    T F_new = _F + _A * x_o * x_o + _B * x_o * y_o + _C * y_o * y_o - _D * x_o -
+              _E * y_o;
+    return quadric(_A, _B, _C, D_new, E_new, F_new);
+  }
+
   constexpr T at(T x) const {
     T sign = T{-1};
     T Bx_E = _B * x + _E;
@@ -50,10 +58,12 @@ struct quadric {
   }
 
   constexpr T slope_at(T x) const {
-    return derivative([&]<typename U>(U x_val) {
-      quadric<U> q{U{_A}, U{_B}, U{_C}, U{_D}, U{_E}, U{_F}};
-      return q.at(x_val);
-    }, x);
+    return derivative(
+        [&]<typename U>(U x_val) {
+          quadric<U> q{U{_A}, U{_B}, U{_C}, U{_D}, U{_E}, U{_F}};
+          return q.at(x_val);
+        },
+        x);
   }
 };