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- Log ----------------------------------------------------------------- commit e10e402d446339130042607357b0129b35a1faa7 Author: Raymond Toy toy.raymond@gmail.com Date: Thu Mar 22 21:13:07 2012 -0700

Correct the computation of s-exp-integral-e when v is an integer. Add tests.

diff --git a/qd-gamma.lisp b/qd-gamma.lisp index e5fc5f0..13f0bd9 100644 --- a/qd-gamma.lisp +++ b/qd-gamma.lisp @@ -501,16 +501,14 @@ (- (* (/ (expt -z (- v 1)) (gamma v)) (- (psi v) (log z))) - (loop for k from 0 below n - for term = 1 then (* term (/ -z k)) - for sum = (/ (- 1 v)) then (+ sum (/ term (+ k 1 -v))) - when (< (abs term) (* (abs sum) eps)) - return sum) - (loop for k from n - for term = 1 then (* term (/ -z k)) - for sum = 0 then (+ sum (/ term (+ k 1 -v))) - when (< (abs term) (* (abs sum) eps)) - return sum))) + (loop for k from 0 + for term = 1 then (* term (/ -z k)) + for sum = (/ (- 1 v)) then (+ sum (let ((denom (+ k 1 (- n)))) + (if (zerop denom) + 0 + (/ term (+ k 1 -v))))) + when (< (abs term) (* (abs sum) eps)) + return sum))) (loop for k from 0 for term = 1 then (* term (/ -z k)) for sum = (/ (- 1 v)) then (+ sum (/ term (+ k 1 -v))) diff --git a/rt-tests.lisp b/rt-tests.lisp index fa6da81..173c528 100644 --- a/rt-tests.lisp +++ b/rt-tests.lisp @@ -1464,3 +1464,17 @@ (expt x 4)))) (check-accuracy 210.8 e true)) nil) + +(rt:deftest expintegral-e.5d + (let* ((x .5d0) + (e (exp-integral-e 2d0 x)) + (true #q0.3266438623245530177304015653336378358284946903290101)) + (check-accuracy 51.2 e true)) + nil) + +(rt:deftest expintegral-e.5q + (let* ((x #q.5) + (e (exp-integral-e #q2 x)) + (true #q0.326643862324553017730401565333637835828494690329010198058745549181386569998611289568)) + (check-accuracy 208.4 e true)) + nil) \ No newline at end of file

commit 1d9ec007bb4172eaccb8ca1db543c1218192cdb5 Author: Raymond Toy toy.raymond@gmail.com Date: Wed Mar 21 22:24:48 2012 -0700

Handle the case of negative v in exp-integral-e(v, z). Add tests.

diff --git a/qd-gamma.lisp b/qd-gamma.lisp index d49acf8..e5fc5f0 100644 --- a/qd-gamma.lisp +++ b/qd-gamma.lisp @@ -527,7 +527,12 @@ ;; for |arg(z)| < pi. ;; ;; - (cond ((< (abs z) 1) + (cond ((and (realp v) (minusp v)) + ;; E(-v, z) = z^(-v-1)*incomplete_gamma_tail(v+1,z) + (let ((-v (- v))) + (* (expt z (- v 1)) + (incomplete-gamma-tail (+ -v 1) z)))) + ((< (abs z) 1) ;; Use series for small z (s-exp-integral-e v z)) ((>= (abs (phase z)) 3.1) diff --git a/rt-tests.lisp b/rt-tests.lisp index c5b6743..fa6da81 100644 --- a/rt-tests.lisp +++ b/rt-tests.lisp @@ -1447,4 +1447,20 @@ (let* ((e (exp-integral-e 2 1d0)) (true 0.14849550677592204791835999d0)) (check-accuracy 47.5 e true)) - nil) \ No newline at end of file + nil) + +(rt:deftest expintegral-e.4d + (let* ((x .5d0) + (e (exp-integral-e -2 x)) + (true (/ (* (exp (- x)) (+ (* x x x) (* 2 x x) (* 2 x))) + (expt x 4)))) + (check-accuracy 53 e true)) + nil) + +(rt:deftest expintegral-e.4q + (let* ((x #q.5) + (e (exp-integral-e -2 x)) + (true (/ (* (exp (- x)) (+ (* x x x) (* 2 x x) (* 2 x))) + (expt x 4)))) + (check-accuracy 210.8 e true)) + nil)

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Summary of changes: qd-gamma.lisp | 25 ++++++++++++++----------- rt-tests.lisp | 30 ++++++++++++++++++++++++++++++ 2 files changed, 44 insertions(+), 11 deletions(-)

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