[Git][cmucl/cmucl][master] 2 commits: Fix #134: Handle the case of (expt complex complex-rational)
Raymond Toy (@rtoy)
gitlab at common-lisp.net
Sat Oct 15 20:53:39 UTC 2022
Raymond Toy pushed to branch master at cmucl / cmucl
Commits:
a05277c7 by Raymond Toy at 2022-10-15T20:53:20+00:00
Fix #134: Handle the case of (expt complex complex-rational)
- - - - -
4dacd5ac by Raymond Toy at 2022-10-15T20:53:20+00:00
Merge branch 'issue-134-expt-bug' into 'master'
Fix #134: Handle the case of (expt complex complex-rational)
Closes #134
See merge request cmucl/cmucl!91
- - - - -
2 changed files:
- src/code/irrat.lisp
- tests/issues.lisp
Changes:
=====================================
src/code/irrat.lisp
=====================================
@@ -510,12 +510,12 @@
(* base power)
(exp (* power (* (log2 base 1w0) (log 2w0))))))
(((foreach fixnum (or bignum ratio) single-float)
- (foreach (complex single-float)))
+ (foreach (complex rational) (complex single-float)))
(if (and (zerop base) (plusp (realpart power)))
(* base power)
(exp (* power (log base)))))
(((foreach (complex rational) (complex single-float))
- (foreach single-float (complex single-float)))
+ (foreach single-float (complex rational) (complex single-float)))
(if (and (zerop base) (plusp (realpart power)))
(* base power)
(or (expt-xfrm (coerce base '(complex single-float)) power)
@@ -537,7 +537,7 @@
(exp (* power (log (coerce base '(complex double-double-float))))))))
(((foreach (complex double-float))
(foreach single-float double-float
- (complex single-float) (complex double-float)))
+ (complex rational) (complex single-float) (complex double-float)))
(if (and (zerop base) (plusp (realpart power)))
(* base power)
(or (expt-xfrm base power)
@@ -552,7 +552,7 @@
(exp (* power (log (coerce base '(complex double-double-float))))))))
#+double-double
(((foreach (complex double-double-float))
- (foreach float (complex float)))
+ (foreach float (complex float) (complex rational)))
(if (and (zerop base) (plusp (realpart power)))
(* base power)
(or (expt-xfrm base power)
=====================================
tests/issues.lisp
=====================================
@@ -645,3 +645,28 @@
(assert-true defaulted-new-name)
(assert-equalp old-truename orig)
(assert-equalp new-truename new)))))
+
+(define-test issue.134
+ (:tag :issues)
+ ;; Verify that we can compute (3+4*%i)^%i (in Maxima format). This
+ ;; can be written analytically as
+ ;; %i*%e^-atan(4/3)*sin(log(5))+%e^-atan(4/3)*cos(log(5)), so use
+ ;; %this as the reference value.
+ (let ((answer (complex (* (cos (log 5w0))
+ (exp (- (atan (float (/ 4 3) 0w0)))))
+ (* (sin (log 5w0))
+ (exp (- (atan (float (/ 4 3) 0w0))))))))
+ (flet ((relerr (actual true)
+ ;; Return the relative error between ACTUAL and TRUE
+ (/ (abs (- actual true))
+ (abs true))))
+ (dolist (test '((#c(3 4) 3.5918w-8)
+ (#c(3.0 4) 3.5918w-8)
+ (#c(3d0 4) 9.2977w-17)
+ (#c(3w0 4) 0w0)))
+ (destructuring-bind (base eps)
+ test
+ (let* ((value (expt base #c(0 1)))
+ (err (relerr value answer)))
+ (assert-true (<= err eps) base err eps)))))))
+
View it on GitLab: https://gitlab.common-lisp.net/cmucl/cmucl/-/compare/e0e9f62d1f2dd64d166ac1f0d0fe95713d7f1667...4dacd5ac5276ab89c9db4f6a884e62e6108b2675
--
View it on GitLab: https://gitlab.common-lisp.net/cmucl/cmucl/-/compare/e0e9f62d1f2dd64d166ac1f0d0fe95713d7f1667...4dacd5ac5276ab89c9db4f6a884e62e6108b2675
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