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(sc-include "macros/macros")
(pre-include "math.h")
(pre-include "gsl/gsl_blas.h")
(pre-include "gsl/gsl_randist.h")
(pre-include "oracles.h")
(pre-include "utils.h")
(define (bernoulli-extent-oracle r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const bernoulli-params*) (convert-type params bernoulli-params*)))
(return (if* (gsl-ran-bernoulli r (: params p))
(: params r1)
(: params r0)))))
(define (bernoulli-true-volume dimension params) (double (unsigned int) void*)
(let* ((params (const bernoulli-params*) (convert-type params bernoulli-params*)))
(return (* (volume-of-ball dimension)
(+ (* (: params p) (gsl-pow-uint (: params r1) dimension))
(* (- 1 (: params p)) (gsl-pow-uint (: params r0) dimension)))))))
(define (uniform-extent-oracle r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const uniform-params*) (convert-type params uniform-params*)))
(return (gsl-ran-flat r (: params a) (: params b)))))
;; TODO: Verify the accuracy of this function for non-trivial a, b.
(define (uniform-true-volume dimension params) (double (unsigned int) void*)
(let* ((params (const uniform-params*) (convert-type params uniform-params*)))
(return (- (exp (+ (ln-volume-of-ball dimension)
(* dimension (log (: params b)))
(- (log (+ dimension 1)))))
(exp (+ (ln-volume-of-ball dimension)
(* dimension (log (: params a)))
(- (log (+ dimension 1)))))))))
(define (beta-extent-oracle r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const beta-params*) (convert-type params beta-params*)))
(return (gsl-ran-beta r (: params alpha) (: params beta)))))
(define (beta-true-volume dimension params) (double (unsigned int) void*)
(let* ((params (const beta-params*) (convert-type params beta-params*))
(vol double (volume-of-ball dimension)))
(for-i r dimension
(set* vol (/ (+ (: params alpha) r)
(+ (: params alpha) (: params beta) r))))
(return vol)))
(define (infinity-norm x) ((static double) (const gsl-vector*))
(let* ((max double (fabs (gsl-vector-get x 0))))
;; TODO: Start this loop from i = 1, not i = 0. That would be
;; slightly faster.
(for-i i (: x size)
(set max (GSL-MAX max (fabs (gsl-vector-get x i)))))
(return max)))
(define (cube-extent-oracle r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const cube-params*) (convert-type params cube-params*)))
(return (/ (: params edge) 2 (infinity-norm x)))))
(sc-define-syntax (compute-cube-extent-oracle-minimizand i)
(/ (- (/ (: params edge) 2)
(* (GSL-SIGN (gsl-vector-get x i))
(gsl-vector-get (: params center) i)))
(fabs (gsl-vector-get x i))))
(define (cube-extent-oracle-with-center r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const cube-params*) (convert-type params cube-params*))
(min double (compute-cube-extent-oracle-minimizand 0)))
;; TODO: Start this loop from i = 1, not i = 0. That would be
;; slightly faster.
(for-i i (: (: params center) size)
(set min (GSL-MIN min (compute-cube-extent-oracle-minimizand i))))
(return min)))
(define (cube-true-volume dimension params) (double (unsigned int) void*)
(let* ((params (const cube-params*) (convert-type params cube-params*)))
(return (gsl-pow-uint (: params edge) dimension))))
(define (ellipsoid-extent-oracle r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const ellipsoid-params*) (convert-type params ellipsoid-params*))
(k double 0))
(for-i i (: (: params axes) size)
(set+ k (gsl-pow-2 (/ (gsl-vector-get x i)
(gsl-vector-get (: params axes) i)))))
(return (/ (sqrt k)))))
(define (ellipsoid-true-volume dimension params) (double (unsigned int) void*)
(let* ((params (const ellipsoid-params*) (convert-type params ellipsoid-params*))
(vol double (volume-of-ball (: (: params axes) size))))
(for-i i (: (: params axes) size)
(set* vol (gsl-vector-get (: params axes) i)))
(return vol)))
(define (spheroid-extent-oracle r x params) (double (const gsl-rng*) (const gsl-vector*) void*)
(let* ((params (const spheroid-params*) (convert-type params spheroid-params*))
(xsub gsl-vector-const-view
(gsl-vector-const-subvector x 1 (- (: x size) 1))))
(return (/ (sqrt (+ (gsl-pow-2 (gsl-blas-dnrm2 (address-of (struct-get xsub vector))))
(gsl-pow-2 (/ (gsl-vector-get x 0)
(: params eccentricity)))))))))
(define (spheroid-true-volume dimension params) (double (unsigned int) void*)
(let* ((params (const spheroid-params*) (convert-type params spheroid-params*)))
(return (* (volume-of-ball dimension)
(: params eccentricity)))))
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