func Qags(ff gsl.F, ab gsl.Interval, eps gsl.Eps, w *WorkSpace) (gsl.Result, error) {
// Make a gsl_function
var gf C.gsl_function
data := gsl.GSLFuncWrapper{ff}
gf = C.mkintegCB(unsafe.Pointer(&data))
// Check to see if we have a positive/-negative infinity
pinf := math.IsInf(ab.Hi, 1)
ninf := math.IsInf(ab.Lo, -1)
var ret C.int
var y, err C.double
// Switch on options
switch {
case pinf && ninf:
ret = C.gsl_integration_qagi(&gf, C.double(eps.Abs), C.double(eps.Rel), C.size_t(w.n), w.w, &y, &err)
case pinf:
ret = C.gsl_integration_qagiu(&gf, C.double(ab.Lo), C.double(eps.Abs), C.double(eps.Rel), C.size_t(w.n), w.w, &y, &err)
case ninf:
ret = C.gsl_integration_qagil(&gf, C.double(ab.Hi), C.double(eps.Abs), C.double(eps.Rel), C.size_t(w.n), w.w, &y, &err)
default:
ret = C.gsl_integration_qags(&gf, C.double(ab.Lo), C.double(ab.Hi), C.double(eps.Abs), C.double(eps.Rel), C.size_t(w.n), w.w, &y, &err)
}
if ret != 0 {
return gsl.Result{float64(y), float64(err)}, gsl.Errno(ret)
}
return gsl.Result{float64(y), float64(err)}, nil
}
// NewSpline creates a new Spline struct
func New(s SplineType, xa, ya []float64) (*Spline, error) {
// Check inputs
nx := len(xa)
ny := len(ya)
if nx != ny {
return nil, fmt.Errorf("Incompatible dimensions in NewSpline: x(%d) != y(%d)", nx, ny)
}
// Convert type of spline
sptype, err := convertSplineType(s)
if err != nil {
return nil, err
}
// Create a new object
sp := new(Spline)
sp.sp = C.gsl_spline_alloc(sptype, C.size_t(nx))
sp.acc = C.gsl_interp_accel_alloc()
// Initialize the spline object
ret := C.gsl_spline_init(sp.sp, (*C.double)(&xa[0]), (*C.double)(&ya[0]), C.size_t(nx))
if ret != 0 {
return nil, gsl.Errno(ret)
}
return sp, nil
}
// SphBesselArr returns an array of Jl(x) where l runs from 0 to nmax inclusive
//
// Note that GSL has two implementations; we use the default one, not the one based
// on Steed's algorithm.
func SphBesselArr(lmax int, x float64) []float64 {
arr := make([]float64, lmax+1)
ret := C.gsl_sf_bessel_jl_array(C.int(lmax), C.double(x), (*C.double)(&arr[0]))
if ret != 0 {
panic(gsl.Errno(ret))
}
return arr
}
// BesselJArr returns an array of Jn(x) where n runs from nmin to nmax inclusive
func BesselJArr(nmin, nmax int, x float64) []float64 {
arr := make([]float64, nmax-nmin+1)
ret := C.gsl_sf_bessel_Jn_array(C.int(nmin), C.int(nmax), C.double(x), (*C.double)(&arr[0]))
if ret != 0 {
panic(gsl.Errno(ret))
}
return arr
}
// Eval evaluates the spline at x.
// If x is out of bounds, the code will panic.
func (s *Spline) Eval(x float64) (float64, error) {
var y C.double
ret := C.gsl_spline_eval_e(s.sp, C.double(x), s.acc, &y)
if ret != 0 {
return float64(y), gsl.Errno(ret)
}
return float64(y), nil
}
// Integrate evaluates the integral of the spline from lo to hi.
// If this put it out of bounds, x
// If x is out of bounds, the code will panic.
func (s *Spline) Integrate(lo, hi float64) (float64, error) {
var y C.double
ret := C.gsl_spline_eval_integ_e(s.sp, C.double(lo), C.double(hi), s.acc, &y)
if ret != 0 {
return float64(y), gsl.Errno(ret)
}
return float64(y), nil
}
// Diff computes the derivative of ff, returns derivative and an error
func Diff(dir DerivType, ff gsl.F, x, h float64) (gsl.Result, error) {
var y, err C.double
var ret C.int
var gf C.gsl_function
data := gsl.GSLFuncWrapper{ff}
gf = C.mkderivCB(unsafe.Pointer(&data))
switch dir {
case Central:
ret = C.gsl_deriv_central(&gf, C.double(x), C.double(h), &y, &err)
case Forward:
ret = C.gsl_deriv_forward(&gf, C.double(x), C.double(h), &y, &err)
case Backward:
ret = C.gsl_deriv_backward(&gf, C.double(x), C.double(h), &y, &err)
default:
panic(errors.New("Unknown direction"))
}
if ret != 0 {
return gsl.Result{float64(y), float64(err)}, gsl.Errno(ret)
}
return gsl.Result{float64(y), float64(err)}, nil
}