[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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