76   StatePrimitive dY;  in StatePrimitiveFromConservative_fwd()  local
78     dY.velocity[i] = (dU.momentum[i] - s.Y.velocity[i] * dU.density) / s.U.density;  in StatePrimitiveFromConservative_fwd()
81   CeedScalar de_kinetic  = Dot3(dY.velocity, s.Y.velocity);  in StatePrimitiveFromConservative_fwd()
86   dY.temperature         = de_internal / gas.cv;  in StatePrimitiveFromConservative_fwd()
87 …dY.pressure            = (HeatCapacityRatio(gas) - 1) * (dU.density * e_internal + s.U.density * d…  in StatePrimitiveFromConservative_fwd()
88   return dY;  in StatePrimitiveFromConservative_fwd()
105 …StateEntropy StateEntropyFromPrimitive_fwd(NewtonianIGProperties gas, State s, StatePrimitive dY) {  in StateEntropyFromPrimitive_fwd()  argument
108 …CeedScalar       drho  = (dY.pressure * s.Y.temperature - s.Y.pressure * dY.temperature) / (GasCon…  in StateEntropyFromPrimitive_fwd()
111   const CeedScalar de_kinetic = Dot3(dY.velocity, s.Y.velocity);  in StateEntropyFromPrimitive_fwd()
113 …const CeedScalar drho_div_p = (drho * s.Y.pressure - s.U.density * dY.pressure) / Square(s.Y.press…  in StateEntropyFromPrimitive_fwd()
115   CeedScalar dentropy = dY.pressure / s.Y.pressure - gamma * drho / s.U.density;  in StateEntropyFromPrimitive_fwd()
118 …for (CeedInt i = 0; i < 3; i++) dV.S_momentum[i] = rho_div_p * dY.velocity[i] + drho_div_p * s.Y.v…  in StateEntropyFromPrimitive_fwd()
136   StatePrimitive dY;  in StatePrimitiveFromEntropy_fwd()  local
138 …for (int i = 0; i < 3; i++) dY.velocity[i] = -(dV.S_momentum[i] - V.S_momentum[i] * dV.S_energy / …  in StatePrimitiveFromEntropy_fwd()
139   dY.temperature              = dV.S_energy / (GasConstant(gas) * V.S_energy * V.S_energy);  in StatePrimitiveFromEntropy_fwd()
142   const CeedScalar de_kinetic = Dot3(dY.velocity, s.Y.velocity);  in StatePrimitiveFromEntropy_fwd()
144 …dY.pressure                 = s.Y.pressure * (-dentropy - gamma * dV.S_energy / V.S_energy) / (gam…  in StatePrimitiveFromEntropy_fwd()
145   return dY;  in StatePrimitiveFromEntropy_fwd()
159 …rvative StateConservativeFromPrimitive_fwd(NewtonianIGProperties gas, State s, StatePrimitive dY) {  in StateConservativeFromPrimitive_fwd()  argument
161 …dU.density = (dY.pressure * s.Y.temperature - s.Y.pressure * dY.temperature) / (GasConstant(gas) *…  in StateConservativeFromPrimitive_fwd()
163     dU.momentum[i] = dU.density * s.Y.velocity[i] + s.U.density * dY.velocity[i];  in StateConservativeFromPrimitive_fwd()
166   CeedScalar de_kinetic  = Dot3(dY.velocity, s.Y.velocity);  in StateConservativeFromPrimitive_fwd()
168   CeedScalar de_internal = gas.cv * dY.temperature;  in StateConservativeFromPrimitive_fwd()
254 …NCTION_HELPER State StateFromPrimitive_fwd(NewtonianIGProperties gas, State s, StatePrimitive dY) {  in StateFromPrimitive_fwd()  argument
255   StateConservative dU = StateConservativeFromPrimitive_fwd(gas, s, dY);  in StateFromPrimitive_fwd()
258   ds.Y = dY;  in StateFromPrimitive_fwd()
356 CEED_QFUNCTION_HELPER State StateFromY_fwd(NewtonianIGProperties gas, State s, const CeedScalar dY[…  in StateFromY_fwd()
358   ds.Y.pressure    = dY[0];  in StateFromY_fwd()
359   ds.Y.velocity[0] = dY[1];  in StateFromY_fwd()
360   ds.Y.velocity[1] = dY[2];  in StateFromY_fwd()
361   ds.Y.velocity[2] = dY[3];  in StateFromY_fwd()
362   ds.Y.temperature = dY[4];  in StateFromY_fwd()
567 …EnergyFlux_fwd(NewtonianIGProperties gas, StatePrimitive Y, StatePrimitive dY, const State grad_ds…  in ViscousEnergyFlux_fwd()  argument
570 …dFe[i] = -Y.velocity[0] * dstress[0][i] - dY.velocity[0] * stress[0][i] - Y.velocity[1] * dstress[…  in ViscousEnergyFlux_fwd()
571 …  Y.velocity[2] * dstress[2][i] - dY.velocity[2] * stress[2][i] - gas.k * grad_ds[i].Y.temperature;  in ViscousEnergyFlux_fwd()