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- Log -----------------------------------------------------------------
commit 106bf4fc7687741b27523b23db3c9b2443237b2d
Author: Raymond Toy <toy.raymond(a)gmail.com>
Date: Wed Sep 24 19:53:07 2014 -0700
Make the LOG function match what the deftransform for LOG does.
Without this, compiled code produces different answers from
interpreted code.
* src/code/irrat.lisp:
* Add cases where the base is 2 or 10 to compute the log in the
same way as the deftransform for LOG does.
* tests/float.lisp:
* Fix comparison to use equalp, not equal.
* Add test for log10.
diff --git a/src/code/irrat.lisp b/src/code/irrat.lisp
index 61d4314..daf6166 100644
--- a/src/code/irrat.lisp
+++ b/src/code/irrat.lisp
@@ -645,74 +645,112 @@
;; ANSI spec
base)
((and (realp number) (realp base))
- ;; CLHS 12.1.4.1 says
- ;;
- ;; When rationals and floats are combined by a
- ;; numerical function, the rational is first converted
- ;; to a float of the same format.
- ;;
- ;; So assume this applies to floats as well convert all
- ;; numbers to the largest float format before computing
- ;; the log.
- ;;
- ;; This makes (log 17 10.0) = (log 17.0 10) and so on.
- (number-dispatch ((number real) (base real))
- ((double-float
- (foreach double-float single-float))
- (/ (log2 number) (log2 base)))
- (((foreach fixnum bignum ratio)
- (foreach fixnum bignum ratio single-float))
- (let* ((result (/ (log2 number) (log2 base))))
- ;; Figure out the right result type
- (if (realp result)
- (coerce result 'single-float)
- (coerce result '(complex single-float)))))
- (((foreach fixnum bignum ratio)
- double-float)
- (/ (log2 number) (log2 base)))
- ((single-float
- (foreach fixnum bignum ratio))
- (let* ((result (/ (log2 number) (log2 base))))
- ;; Figure out the right result type
- (if (realp result)
- (coerce result 'single-float)
- (coerce result '(complex single-float)))))
- ((double-float
- (foreach fixnum bignum ratio))
- (/ (log2 number) (log2 base)))
- ((single-float double-float)
- (/ (log (coerce number 'double-float)) (log base)))
- #+double-double
- ((double-double-float
- (foreach fixnum bignum ratio))
- (/ (log2 number 1w0) (log2 base 1w0)))
- #+double-double
- ((double-double-float
- (foreach double-double-float double-float single-float))
- (/ (log number) (log (coerce base 'double-double-float))))
- #+double-double
- (((foreach fixnum bignum ratio)
- double-double-float)
- (/ (log2 number 1w0) (log2 base 1w0)))
- #+double-double
- (((foreach double-float single-float)
- double-double-float)
- (/ (log (coerce number 'double-double-float)) (log base)))
- (((foreach single-float)
- (foreach single-float))
- ;; Converting everything to double-float helps the
- ;; cases like (log 17 10) = (/ (log 17) (log 10)).
- ;; This is usually handled above, but if we compute (/
- ;; (log 17) (log 10)), we get a slightly different
- ;; answer due to roundoff. This makes it a bit more
- ;; consistent.
+ (cond
+ ((and (= base 2)
+ (floatp number)
+ #+double-double
+ (not (typep number 'ext:double-double-float))
+ (or (plusp number)
+ (eql number 0.0)
+ (eql number 0d0)))
+ ;; Do the same thing as the deftranform does for
+ ;; log base 2 and 10 for non-negative arguments.
+ (number-dispatch ((number real) (base real))
+ ((double-float
+ (foreach integer single-float double-float))
+ (log2 number))
+ ((single-float
+ (foreach integer single-float))
+ (float (log2 (float number 1d0)) 1f0))
+ ((single-float double-float)
+ (log2 (float number 1d0)))))
+ ((and (= base 10)
+ (floatp number)
+ #+double-double
+ (not (typep number 'double-double-float))
+ (or (plusp number)
+ (eql number 0.0)
+ (eql number 0d0)))
+ ;; Do the same thing as the deftranform does for
+ ;; log base 2 and 10 for non-negative arguments.
+ (number-dispatch ((number real) (base real))
+ ((double-float
+ (foreach double-float single-float integer))
+ (%log10 number))
+ ((single-float
+ (foreach single-float integer))
+ (float (%log10 (float number 1d0)) 1f0))
+ ((single-float double-float)
+ (%log10 (float number 1d0)))))
+ (t
+ ;; CLHS 12.1.4.1 says
+ ;;
+ ;; When rationals and floats are combined by a
+ ;; numerical function, the rational is first converted
+ ;; to a float of the same format.
+ ;;
+ ;; So assume this applies to floats as well convert all
+ ;; numbers to the largest float format before computing
+ ;; the log.
;;
- ;; FIXME: This probably needs more work.
- (let ((result (/ (log (float number 1d0))
- (log (float base 1d0)))))
- (if (realp result)
- (coerce result 'single-float)
- (coerce result '(complex single-float)))))))
+ ;; This makes (log 17 10.0) = (log 17.0 10) and so on.
+ (number-dispatch ((number real) (base real))
+ ((double-float
+ (foreach double-float single-float))
+ (/ (log2 number) (log2 base)))
+ (((foreach fixnum bignum ratio)
+ (foreach fixnum bignum ratio single-float))
+ (let* ((result (/ (log2 number) (log2 base))))
+ ;; Figure out the right result type
+ (if (realp result)
+ (coerce result 'single-float)
+ (coerce result '(complex single-float)))))
+ (((foreach fixnum bignum ratio)
+ double-float)
+ (/ (log2 number) (log2 base)))
+ ((single-float
+ (foreach fixnum bignum ratio))
+ (let* ((result (/ (log2 number) (log2 base))))
+ ;; Figure out the right result type
+ (if (realp result)
+ (coerce result 'single-float)
+ (coerce result '(complex single-float)))))
+ ((double-float
+ (foreach fixnum bignum ratio))
+ (/ (log2 number) (log2 base)))
+ ((single-float double-float)
+ (/ (log (coerce number 'double-float)) (log base)))
+ #+double-double
+ ((double-double-float
+ (foreach fixnum bignum ratio))
+ (/ (log2 number 1w0) (log2 base 1w0)))
+ #+double-double
+ ((double-double-float
+ (foreach double-double-float double-float single-float))
+ (/ (log number) (log (coerce base 'double-double-float))))
+ #+double-double
+ (((foreach fixnum bignum ratio)
+ double-double-float)
+ (/ (log2 number 1w0) (log2 base 1w0)))
+ #+double-double
+ (((foreach double-float single-float)
+ double-double-float)
+ (/ (log (coerce number 'double-double-float)) (log base)))
+ (((foreach single-float)
+ (foreach single-float))
+ ;; Converting everything to double-float helps the
+ ;; cases like (log 17 10) = (/ (log 17) (log 10)).
+ ;; This is usually handled above, but if we compute (/
+ ;; (log 17) (log 10)), we get a slightly different
+ ;; answer due to roundoff. This makes it a bit more
+ ;; consistent.
+ ;;
+ ;; FIXME: This probably needs more work.
+ (let ((result (/ (log (float number 1d0))
+ (log (float base 1d0)))))
+ (if (realp result)
+ (coerce result 'single-float)
+ (coerce result '(complex single-float)))))))))
(t
;; FIXME: This probably needs some work as well.
(/ (log number) (log base))))
diff --git a/tests/float.lisp b/tests/float.lisp
index ff07270..eeb221b 100644
--- a/tests/float.lisp
+++ b/tests/float.lisp
@@ -11,7 +11,13 @@
(decode-float x)))
1d0)))
-(define-test log2
+(define-test log2.interp
(loop for k from -1074 to 1023 do
(let ((x (scale-float 1d0 k)))
- (assert-equal k (log x 2)))))
+ (assert-equalp k (log x 2)))))
+
+(define-test log10.interp
+ (loop for k from 0 to 22 do
+ (let ((x (float (expt 10 k) 1d0)))
+ (assert-equalp k (log x 10)))))
+
-----------------------------------------------------------------------
Summary of changes:
src/code/irrat.lisp | 172 +++++++++++++++++++++++++++++++--------------------
tests/float.lisp | 10 ++-
2 files changed, 113 insertions(+), 69 deletions(-)
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