transitioned remaining real exponents to int

src/grid/spectral_utilities.f90

@@ -578,7 +578,7 @@ real(pReal) function utilities_divergenceRMS()
   do k = 1, grid3; do j = 1, grid(2)
     do i = 2, grid1Red -1                                                                           ! Has somewhere a conj. complex counterpart. Therefore count it twice.
       utilities_divergenceRMS = utilities_divergenceRMS &
-            + 2.0_pReal*(sum (real(matmul(tensorField_fourier(1:3,1:3,i,j,k), &                     ! (sqrt(real(a)**2 + aimag(a)**2))**2 = real(a)**2 + aimag(a)**2. do not take square root and square again
+            + 2.0_pReal*(sum (real(matmul(tensorField_fourier(1:3,1:3,i,j,k), &                     ! (sqrt(real(a)**2 + aimag(a)**2))**2 = real(a)**2 + aimag(a)**2, i.e. do not take square root and square again
                                           conjg(-xi1st(1:3,i,j,k))*rescaledGeom))**2) &             ! --> sum squared L_2 norm of vector
                         +sum(aimag(matmul(tensorField_fourier(1:3,1:3,i,j,k),&
                                           conjg(-xi1st(1:3,i,j,k))*rescaledGeom))**2))

src/math.f90

@@ -1086,15 +1086,15 @@ function math_eigvalsh33(m)
 
   I = math_invariantsSym33(m)                                                                       ! invariants are coefficients in characteristic polynomial apart for the sign of c0 and c2 in http://arxiv.org/abs/physics/0610206
 
-  P = I(2)-I(1)**2.0_pReal/3.0_pReal                                                                ! different from http://arxiv.org/abs/physics/0610206 (this formulation was in DAMASK)
+  P = I(2)-I(1)**2/3.0_pReal                                                                        ! different from http://arxiv.org/abs/physics/0610206 (this formulation was in DAMASK)
   Q = product(I(1:2))/3.0_pReal &
-    - 2.0_pReal/27.0_pReal*I(1)**3.0_pReal &
+    - 2.0_pReal/27.0_pReal*I(1)**3 &
     - I(3)                                                                                          ! different from http://arxiv.org/abs/physics/0610206 (this formulation was in DAMASK)
 
   if (all(abs([P,Q]) < TOL)) then
     math_eigvalsh33 = math_eigvalsh(m)
   else
-    rho=sqrt(-3.0_pReal*P**3.0_pReal)/9.0_pReal
+    rho=sqrt(-3.0_pReal*P**3)/9.0_pReal
     phi=acos(math_clip(-Q/rho*0.5_pReal,-1.0_pReal,1.0_pReal))
     math_eigvalsh33 = 2.0_pReal*rho**(1.0_pReal/3.0_pReal)* &
                                                             [cos( phi              /3.0_pReal), &

src/phase_damage.f90

@@ -388,8 +388,7 @@ module function phase_K_phi(co,ce) result(K)
   real(pReal), dimension(3,3) :: K
   real(pReal), parameter :: l = 1.0_pReal
 
-  K = crystallite_push33ToRef(co,ce,param(material_phaseID(co,ce))%D) &
+  K = crystallite_push33ToRef(co,ce,param(material_phaseID(co,ce))%D) * l**2
-    * l**2.0_pReal
 
 end function phase_K_phi
 

src/phase_damage_anisobrittle.f90

@@ -129,7 +129,7 @@ module subroutine anisobrittle_dotState(S, ph,en)
       traction_t = math_tensordot(S,prm%cleavage_systems(1:3,1:3,2,i))
       traction_n = math_tensordot(S,prm%cleavage_systems(1:3,1:3,3,i))
 
-      traction_crit = prm%g_crit(i)*damage_phi(ph,en)**2.0_pReal
+      traction_crit = prm%g_crit(i)*damage_phi(ph,en)**2
 
       damageState(ph)%dotState(1,en) = damageState(ph)%dotState(1,en) &
           + prm%dot_o / prm%s_crit(i) &
@@ -190,7 +190,7 @@ module subroutine damage_anisobrittle_LiAndItsTangent(Ld, dLd_dTstar, S, ph,en)
   dLd_dTstar = 0.0_pReal
   associate(prm => param(ph))
   do i = 1,prm%sum_N_cl
-    traction_crit = prm%g_crit(i)*damage_phi(ph,en)**2.0_pReal
+    traction_crit = prm%g_crit(i)*damage_phi(ph,en)**2
 
     traction_d = math_tensordot(S,prm%cleavage_systems(1:3,1:3,1,i))
     if (abs(traction_d) > traction_crit + tol_math_check) then

src/phase_mechanical_plastic_dislotungsten.f90

@@ -166,7 +166,7 @@ module function plastic_dislotungsten_init() result(myPlasticity)
       prm%D    = pl%get_asFloat('D')
       prm%D_0  = pl%get_asFloat('D_0')
       prm%Q_cl = pl%get_asFloat('Q_cl')
-      prm%f_at = pl%get_asFloat('f_at') * prm%b_sl**3.0_pReal
+      prm%f_at = pl%get_asFloat('f_at') * prm%b_sl**3
 
       prm%dipoleformation = .not. pl%get_asBool('no_dipole_formation', defaultVal = .false.)
 
@@ -498,7 +498,7 @@ pure subroutine kinetics(Mp,T,ph,en, &
               * StressRatio_pminus1 / prm%tau_Peierls
           dtk = -1.0_pReal * t_k / tau_pos
 
-          dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal
+          dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2
 
           ddot_gamma_dtau_pos = b_rho_half * dvel
         else where significantPositiveTau2
@@ -528,7 +528,7 @@ pure subroutine kinetics(Mp,T,ph,en, &
               * StressRatio_pminus1 / prm%tau_Peierls
           dtk = -1.0_pReal * t_k / tau_neg
 
-          dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2.0_pReal
+          dvel = -1.0_pReal * prm%h * (dtk + dtn) / (t_n + t_k)**2
 
           ddot_gamma_dtau_neg = b_rho_half * dvel
         else where significantNegativeTau2

src/phase_mechanical_plastic_dislotwin.f90

@@ -691,8 +691,8 @@ module subroutine dislotwin_dotState(Mp,T,ph,en)
                         * (prm%Gamma_sf(1) + prm%Gamma_sf(2) * T) / (mu*prm%b_sl(i)), &
                       1.0_pReal, &
                       prm%ExtendedDislocations)
-          v_cl = 2.0_pReal*prm%omega*b_d**2.0_pReal*exp(-prm%Q_cl/(K_B*T)) &
+          v_cl = 2.0_pReal*prm%omega*b_d**2*exp(-prm%Q_cl/(K_B*T)) &
-               * (exp(abs(sigma_cl)*prm%b_sl(i)**3.0_pReal/(K_B*T)) - 1.0_pReal)
+               * (exp(abs(sigma_cl)*prm%b_sl(i)**3/(K_B*T)) - 1.0_pReal)
 
           dot_rho_dip_climb(i) = 4.0_pReal*v_cl*stt%rho_dip(i,en) &
                                / (d_hat-prm%d_caron(i))
@@ -784,14 +784,14 @@ module subroutine dislotwin_dependentState(T,ph,en)
                          + 3.0_pReal*prm%b_tr*mu/(prm%L_tr*prm%b_tr) &
                          + prm%h*prm%delta_G/(3.0_pReal*prm%b_tr)
 
-    dst%V_tw(:,en) = (PI/4.0_pReal)*prm%t_tw*dst%Lambda_tw(:,en)**2.0_pReal
+    dst%V_tw(:,en) = (PI/4.0_pReal)*prm%t_tw*dst%Lambda_tw(:,en)**2
-    dst%V_tr(:,en) = (PI/4.0_pReal)*prm%t_tr*dst%Lambda_tr(:,en)**2.0_pReal
+    dst%V_tr(:,en) = (PI/4.0_pReal)*prm%t_tr*dst%Lambda_tr(:,en)**2
 
 
-    x0 = mu*prm%b_tw**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+nu)/(1.0_pReal-nu)                  ! ToDo: In the paper, this is the Burgers vector for slip
+    x0 = mu*prm%b_tw**2/(Gamma*8.0_pReal*PI)*(2.0_pReal+nu)/(1.0_pReal-nu)                  ! ToDo: In the paper, this is the Burgers vector for slip
     dst%tau_r_tw(:,en) = mu*prm%b_tw/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tw)+cos(pi/3.0_pReal)/x0)
 
-    x0 = mu*prm%b_tr**2.0_pReal/(Gamma*8.0_pReal*PI)*(2.0_pReal+nu)/(1.0_pReal-nu)                  ! ToDo: In the paper, this is the Burgers vector for slip
+    x0 = mu*prm%b_tr**2/(Gamma*8.0_pReal*PI)*(2.0_pReal+nu)/(1.0_pReal-nu)                  ! ToDo: In the paper, this is the Burgers vector for slip
     dst%tau_r_tr(:,en) = mu*prm%b_tr/(2.0_pReal*PI)*(1.0_pReal/(x0+prm%x_c_tr)+cos(pi/3.0_pReal)/x0)
 
   end associate
@@ -917,7 +917,7 @@ pure subroutine kinetics_sl(Mp,T,ph,en, &
                            / prm%tau_0
       dV_run_inverse_dTau  = -1.0_pReal * v_run_inverse/tau_eff
       dV_dTau              = -1.0_pReal * (dV_wait_inverse_dTau+dV_run_inverse_dTau) &
-                           / (v_wait_inverse+v_run_inverse)**2.0_pReal
+                           / (v_wait_inverse+v_run_inverse)**2
       ddot_gamma_dtau = dV_dTau*stt%rho_mob(:,en)*prm%b_sl
     else where significantStress
       dot_gamma_sl    = 0.0_pReal

src/rotations.f90

@@ -578,7 +578,7 @@ pure function om2eu(om) result(eu)
   real(pReal)                             :: zeta
 
   if    (dNeq(abs(om(3,3)),1.0_pReal,1.e-8_pReal)) then
-    zeta = 1.0_pReal/sqrt(math_clip(1.0_pReal-om(3,3)**2.0_pReal,1e-64_pReal,1.0_pReal))
+    zeta = 1.0_pReal/sqrt(math_clip(1.0_pReal-om(3,3)**2,1e-64_pReal,1.0_pReal))
     eu = [atan2(om(3,1)*zeta,-om(3,2)*zeta), &
           acos(math_clip(om(3,3),-1.0_pReal,1.0_pReal)), &
           atan2(om(1,3)*zeta, om(2,3)*zeta)]