Switching to variable particle weight

I have to change the injection of particles. Each edge will receive a
similar number of particles and their weight will change to have a
constant density based on the geometry.

Still testing.

src/modules/common/moduleRandom.f90

@@ -40,10 +40,10 @@ MODULE moduleRandom
       INTEGER:: rnd
       REAL(8):: rnd01
 
-      rnd = 0.D0
+      rnd = 0
       CALL RANDOM_NUMBER(rnd01)
 
-      rnd = INT(REAL(b - a) * rnd01) + 1
+      rnd = NINT(REAL(b - a) * rnd01) + a
 
     END FUNCTION randomIntAB
 

src/modules/mesh/2DCyl/moduleMesh2DCyl.f90

@@ -235,6 +235,7 @@ MODULE moduleMesh2DCyl
       p1 = (/self%z(1), self%r(1) /)
       p2 = (/self%z(2), self%r(2) /)
       r(1:2) = (1.D0 - rnd)*p1 + rnd*p2
+      r(2)   =  (self%r(2) + self%r(1)) * 0.5D0
       r(3)   =  0.D0
 
     END FUNCTION randPosEdge
@@ -578,9 +579,6 @@ MODULE moduleMesh2DCyl
       REAL(8):: detJ
       REAL(8):: fPsi(1:4)
       REAL(8):: dPsi(1:3, 1:4), pDer(1:3, 1:3)
-      REAL(8):: nodeR(1:3)
-      REAL(8), PARAMETER:: correction = 0.81D0 !TODO: No idea why this is needed, this needs more attention. Probably a better
-                                               !      calculation of the volume is needed.
 
       self%volume  = 0.D0
 
@@ -594,26 +592,18 @@ MODULE moduleMesh2DCyl
       !Computes total volume of the cell
       self%volume  = r*detJ*PI8 !4*2*pi
       !Computes volume per node
-      self%n1%v = self%n1%v + fPsi(1)*self%volume
+      Xi = (/-5.D-1, -5.D-1, 0.D0/)
-      nodeR = self%n1%getCoordinates()
+      r = self%gatherF(Xi, 4, self%r)
-      if (nodeR(2) == 0.D0) then
+      self%n1%v = self%n1%v + fPsi(1)*r*detJ*PI8
-        self%n1%v = self%n1%v * correction
+      Xi = (/ 5.D-1, -5.D-1, 0.D0/)
-      end if
+      r = self%gatherF(Xi, 4, self%r)
-      self%n2%v = self%n2%v + fPsi(2)*self%volume
+      self%n2%v = self%n2%v + fPsi(2)*r*detJ*PI8
-      nodeR = self%n2%getCoordinates()
+      Xi = (/ 5.D-1,  5.D-1, 0.D0/)
-      if (nodeR(2) == 0.D0) then
+      r = self%gatherF(Xi, 4, self%r)
-        self%n2%v = self%n2%v * correction
+      self%n3%v = self%n3%v + fPsi(3)*r*detJ*PI8
-      end if
+      Xi = (/-5.D-1,  5.D-1, 0.D0/)
-      self%n3%v = self%n3%v + fPsi(3)*self%volume
+      r = self%gatherF(Xi, 4, self%r)
-      nodeR = self%n3%getCoordinates()
+      self%n4%v = self%n4%v + fPsi(4)*r*detJ*PI8
-      if (nodeR(2) == 0.D0) then
-        self%n3%v = self%n3%v * correction
-      end if
-      self%n4%v = self%n4%v + fPsi(4)*self%volume
-      nodeR = self%n4%getCoordinates()
-      if (nodeR(2) == 0.D0) then
-        self%n4%v = self%n4%v * correction
-      end if
 
     END SUBROUTINE volumeQuad
 

src/modules/moduleInject.f90

@@ -283,6 +283,7 @@ MODULE moduleInject
       USE moduleMesh
       USE moduleRandom
       USE moduleErrors
+      USE moduleRefParam, ONLY: L_ref
       IMPLICIT NONE
 
       CLASS(injectGeneric), INTENT(in):: self
@@ -312,12 +313,12 @@ MODULE moduleInject
 
       !$OMP DO
       DO n = nMin, nMax
-        randomX = randomWeighted(self%cumWeight, self%sumWeight)
+        randomX    =  random(1, self%nEdges)
         randomEdge => mesh%edges(self%edges(randomX))%obj
         !Random position in edge
         partInj(n)%r = randomEdge%randPos()
         !Assign weight to particle.
-        partInj(n)%weight = self%species%weight
+        partInj(n)%weight = self%species%weight * sqrt(partInj(n)%r(2) / (0.1D0*L_ref))
         !Volume associated to the edge:
         IF (ASSOCIATED(randomEdge%e1)) THEN
           partInj(n)%cell = randomEdge%e1%n