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-rw-r--r--spheres.hpp39
1 files changed, 20 insertions, 19 deletions
diff --git a/spheres.hpp b/spheres.hpp
index 3dc4a5e..60154f6 100644
--- a/spheres.hpp
+++ b/spheres.hpp
@@ -2,13 +2,8 @@
#include "space_wolff.hpp"
template <int D>
-std::function<double(const Spin<double, D, Radius>&, const Spin<double, D, Radius>&)>
-zSpheres(double a, double k) {
- return [a, k](const Spin<double, D, Radius>& s1, const Spin<double, D, Radius>& s2) -> double {
- Vector<double, D> d = s1.x - s2.x;
-
- double σ = s1.s + s2.s;
- double δ = σ - sqrt(d.transpose() * d);
+double softPotential(double a, double k, const Vector<double, D>& diff, double σ) {
+ double δ = σ - sqrt(diff.transpose() * diff);
if (δ > -a * σ) {
return 0.5 * k * (2 * pow(a * σ, 2) - pow(δ, 2));
@@ -17,6 +12,23 @@ zSpheres(double a, double k) {
} else {
return 0;
}
+}
+
+template <int D>
+double hardPotential(const Vector<double, D>& diff, double σ) {
+ if (pow(σ, 2) < diff.transpose() * diff) {
+ return 0;
+ } else {
+ return -std::numeric_limits<double>::infinity();
+ }
+}
+
+template <int D>
+std::function<double(const Spin<double, D, Radius>&, const Spin<double, D, Radius>&)>
+zSpheres(double a, double k) {
+ return [a, k](const Spin<double, D, Radius>& s1, const Spin<double, D, Radius>& s2) -> double {
+ Vector<double, D> d = s1.x - s2.x;
+ return softPotential(a, k, d, s1.s + s2.s);
};
}
@@ -24,18 +36,7 @@ template <int D>
std::function<double(const Spin<double, D, Radius>&, const Spin<double, D, Radius>&)>
zSpheresTorus(double L, double a, double k) {
return [L, a, k](const Spin<double, D, double>& s1, const Spin<double, D, double>& s2) -> double {
- Vector<double, D> d = diff(L, s1.x, s2.x);
-
- double σ = s1.s + s2.s;
- double δ = σ - sqrt(d.transpose() * d);
-
- if (δ > -a * σ) {
- return 0.5 * k * (2 * pow(a * σ, 2) - pow(δ, 2));
- } else if (δ > -2 * a * σ) {
- return 0.5 * k * pow(δ + 2 * a * σ, 2);
- } else {
- return 0;
- }
+ return softPotential(a, k, diff(L, s1.x, s2.x), s1.s + s2.s);
};
}