From b85ee9d64a536937912544c7bbd5b98b635b7e8d Mon Sep 17 00:00:00 2001
From: Christian C <cc@localhost>
Date: Mon, 11 Nov 2024 12:29:32 -0800
Subject: Initial commit

---
 code/sunlab/fortran_src/fortran_library.f90 | 96 +++++++++++++++++++++++++++++
 1 file changed, 96 insertions(+)
 create mode 100644 code/sunlab/fortran_src/fortran_library.f90

(limited to 'code/sunlab/fortran_src/fortran_library.f90')

diff --git a/code/sunlab/fortran_src/fortran_library.f90 b/code/sunlab/fortran_src/fortran_library.f90
new file mode 100644
index 0000000..d477995
--- /dev/null
+++ b/code/sunlab/fortran_src/fortran_library.f90
@@ -0,0 +1,96 @@
+! fortran_library
+
+! Mean-Squared Displacement for a time lag `t`
+function msd(a, t) result(b)
+    implicit none
+    
+    real(kind=8), intent(in) :: a(:,:)
+    integer(kind=8), intent(in) :: t
+    integer(kind=8) :: i, j
+    real(kind=8) :: s(size(a,1)-t, size(a,2))
+    real(kind=8) :: b(size(a,1)-t)
+
+    s(:, :) = a((t + 1):(size(a,1)), :) - a(1:(size(a,1)-t),:)
+    do i = 1, size(a, 1)-t
+        b(i) = 0.0
+        do j = 1, size(a, 2)
+            b(i) = b(i) + s(i, j) ** 2
+        end do
+        b(i) = sqrt(b(i))
+    end do
+end function msd
+
+! Mean-Squared Displacement for a time lag `t`
+function mmsd(a, t) result(z)
+    implicit none
+    
+    real(kind=8), intent(in) :: a(:,:)
+    integer(kind=8), intent(in) :: t
+    integer(kind=8) :: i, j
+    real(kind=8) :: s(size(a,1)-t, size(a,2))
+    real(kind=8) :: b(size(a,1)-t)
+    real(kind=8) :: z
+
+    s(:, :) = a((t + 1):(size(a,1)), :) - a(1:(size(a,1)-t),:)
+    do i = 1, size(a, 1)-t
+        b(i) = 0.0
+        do j = 1, size(a, 2)
+            b(i) = b(i) + s(i, j) ** 2
+        end do
+        b(i) = sqrt(b(i))
+    end do
+    z = sum(b(:)) / (size(b, 1))
+end function mmsd
+
+! Mean-Squared Displacement for time lags up to `T`
+function msds(a, Ts) result(b)
+    implicit none
+    
+    real(kind=8), intent(in) :: a(:,:)
+    integer(kind=8), intent(in) :: Ts
+    integer(kind=8) :: i, j
+    integer(kind=8) :: t
+    real(kind=8) :: s(size(a,1), size(a,2))
+    real(kind=8) :: b(size(a,1),Ts+1)
+
+    do t = 0, Ts
+        s(:, :) = a((t + 1):(size(a,1)), :) - a(1:(size(a,1)-t),:)
+        do i = 1, size(a, 1)
+            b(i,t+1) = 0.0
+            if (i <= size(a, 1) - t) then
+                do j = 1, size(a, 2)
+                    b(i,t+1) = b(i,t+1) + s(i, j) ** 2
+                end do
+                b(i,t+1) = sqrt(b(i,t+1))
+            end if
+        end do
+    end do
+end function msds
+
+! Mean-Squared Displacement for time lags up to `T`
+! Return the mean for each time lag
+function mmsds(a, Ts) result(z)
+    implicit none
+    
+    real(kind=8), intent(in) :: a(:,:)
+    integer(kind=8), intent(in) :: Ts
+    integer(kind=8) :: i, j
+    integer(kind=8) :: t
+    real(kind=8) :: s(size(a,1), size(a,2))
+    real(kind=8) :: b(size(a,1),Ts+1)
+    real(kind=8) :: z(Ts+1)
+
+    do t = 0, Ts
+        s(:, :) = a((t + 1):(size(a,1)), :) - a(1:(size(a,1)-t),:)
+        do i = 1, size(a, 1)
+            b(i,t+1) = 0.0
+            if (i <= size(a, 1) - t) then
+                do j = 1, size(a, 2)
+                    b(i,t+1) = b(i,t+1) + s(i, j) ** 2
+                end do
+                b(i,t+1) = sqrt(b(i,t+1))
+            end if
+        end do
+        z(t+1) = sum(b(1:(size(a, 1) - t),t+1)) / (size(a, 1) - t)
+    end do
+end function mmsds
-- 
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