// Calculate x - (x_1 + x_2) with Mu_h fixed.
func AbsErrorX(env *tempAll.Environment, variables []string) solve.Diffable {
F := func(v vec.Vector) (float64, error) {
if v.ContainsNaN() {
fmt.Printf("got NaN in AbsErrorX (v=%v)\n", v)
return 0.0, errors.New("NaN in input")
}
env.Set(v, variables)
// Before we evaluate error in X, Mu_b and D1 should have
// appropriate values.
system, start := D1Mu_bSystem(env)
eps := 1e-9
_, err := solve.MultiDim(system, start, eps, eps)
if err != nil {
return 0.0, err
}
if env.Mu_b > 0.0 {
fmt.Println("Warning: got Mu_b > 0 in AbsErrorX")
env.Mu_b = 0.0
}
// evaluate X error
x1 := tempPair.X1(env)
x2, err := tempCrit.X2(env)
if err != nil {
fmt.Printf("error from X2(): %v\n", err)
return 0.0, err
}
lhs := env.X
rhs := x1 + x2
return lhs - rhs, nil
}
h := 1e-5
epsabs := 1e-4
return solve.SimpleDiffable(F, len(variables), h, epsabs)
}
func AbsErrorBeta(env *tempAll.Environment, variables []string) solve.Diffable {
F := func(v vec.Vector) (float64, error) {
if v.ContainsNaN() {
fmt.Printf("got NaN in AbsErrorBeta (v=%v)\n", v)
return 0.0, errors.New("NaN in input")
}
env.Set(v, variables)
if !env.FixedPairCoeffs || !env.PairCoeffsReady {
// Before we evaluate error in Beta, Mu_h and D1 should have
// appropriate values.
eps := 1e-9
_, err := D1MuSolve(env, eps, eps)
if err != nil {
return 0.0, err
}
}
// Beta equation error = x - x1 - x2
x1 := X1(env)
x2, err := tempCrit.X2(env)
if err != nil {
fmt.Printf("error from X2(): %v\n", err)
return 0.0, err
}
lhs := env.X
rhs := x1 + x2
return lhs - rhs, nil
}
h := 1e-5
epsabs := 1e-4
return solve.SimpleDiffable(F, len(variables), h, epsabs)
}
func AbsErrorMu_h(env *tempAll.Environment, variables []string) solve.Diffable {
F := func(v vec.Vector) (float64, error) {
env.Set(v, variables)
lhs := env.X
rhs := X1(env)
return lhs - rhs, nil
}
h := 1e-6
epsabs := 1e-4
return solve.SimpleDiffable(F, len(variables), h, epsabs)
}
// Return the absolute error and gradient for the doping w.r.t. the given
// parameters.
func AbsErrorMu_h(env *tempAll.Environment, variables []string) solve.Diffable {
F := func(v vec.Vector) (float64, error) {
env.Set(v, variables)
L := env.PointsPerSide
lhs := 2.0 / (env.T0 + env.Tz)
rhs := bzone.Avg(L, 2, tempAll.WrapFunc(env, innerMu_h))
return lhs - rhs, nil
}
h := 1e-5
epsabs := 1e-4
return solve.SimpleDiffable(F, len(variables), h, epsabs)
}
func AbsErrorMu_h(env *tempAll.Environment, variables []string) solve.Diffable {
F := func(v vec.Vector) (float64, error) {
env.Set(v, variables)
if -env.Mu_b > -2.0*env.Mu_h {
// when |Mu_b| is this large, no longer have pairs
return env.X - tempPair.X1(env), nil
}
L := env.PointsPerSide
lhs := 0.5 / (env.T0 + env.Tz)
rhs := bzone.Avg(L, 2, tempAll.WrapFunc(env, innerMu_h))
return lhs - rhs, nil
}
h := 1e-5
epsabs := 1e-4
return solve.SimpleDiffable(F, len(variables), h, epsabs)
}
// Calculate Mu_b - (-Omega_+(0))
func AbsErrorMu_b(env *tempAll.Environment, variables []string) solve.Diffable {
F := func(v vec.Vector) (float64, error) {
if v.ContainsNaN() {
fmt.Printf("got NaN in AbsErrorMu_b (v=%v)\n", v)
return 0.0, errors.New("NaN in input")
}
env.Set(v, variables)
zv := vec.ZeroVector(3)
omega0, err := tempCrit.OmegaPlus(env, zv)
if err != nil {
return 0.0, err
}
lhs := env.Mu_b
rhs := -omega0
return lhs - rhs, nil
}
h := 1e-5
epsabs := 1e-4
return solve.SimpleDiffable(F, len(variables), h, epsabs)
}