[Openmcl-devel] Exposing math functions
Steven Nunez
steve_nunez at yahoo.com
Thu Jun 18 01:58:38 PDT 2020
Greetings all,
I've got need of a few functions that are in the standard C library, but not in common lisp. Since the functions are there, but not available, I set about wrapping them. Looking at the code for atanh, I was surprised that CCL's wrapping is so complicated. Now I get that the code, pasted below, has to cater for complex numbers, multiple architectures and the like, so I can likely simplify it for my use case in one architecture and the real domain.
So, my question is: is this best practice for getting good performance for a wrapper? In Allegro, where I don't have access to the code, things are much simpler, using their FFI, e.g.
(ff:def-foreign-call (%erf "erf") ((x :double))
:returning :double)
(ff:def-foreign-call (%erff "erff") ((x :float))
:returning :float)
(defun erf (x)
"Returns the error function value for x"
(cond ((typep x 'double-float) (%erf x))
((typep x 'single-float) (%erff x))))
Whereas in the CCL code there's %setf-double-float, and target::with-stack-double-floats, all of which seem undocumented, but look like they're doing some magic to keep things fast and/or efficient. These functions are already in the database, so it's tempting to use the #_ macro to access them, but then I wonder why the CCL guys didn't do this.
Anyone got any ideas here? I guess I'm wondering as well whether or not I'll get any performance benefit from following the CCL pattern over a simpler approach.
#+windows-target
(progn
(defun %double-float-atanh! (n result)
(declare (double-float n result))
(with-stack-double-floats ((temp))
(%setf-double-float TEMP (external-call "atanh" :double n :double))
(%df-check-exception-1 'atanh n (%ffi-exception-status))
(%setf-double-float result TEMP)))
#+32-bit-target
(defun %single-float-atanh! (n result)
(declare (single-float n result))
(target::with-stack-short-floats ((temp))
#+arm-target (%set-fpscr-status 0)
(%setf-short-float TEMP (external-call "atanhf" :float n :float))
(%sf-check-exception-1 'atanh n (%ffi-exception-status))
(%setf-short-float result TEMP)))
#+64-bit-target
(defun %single-float-atanh (n)
(declare (single-float n))
(let* ((result (external-call "atanhf" :float n :float)))
(%sf-check-exception-1 'atanh n (%ffi-exception-status))
result)))
(defun atan (y &optional (x nil x-p))
"Return the arc tangent of Y if X is omitted or Y/X if X is supplied."
(cond (x-p
(cond ((or (typep x 'double-float)
(typep y 'double-float))
(with-stack-double-floats ((dy y)
(dx x))
(%df-atan2 dy dx)))
(t
(when (and (rationalp x) (rationalp y))
;; rescale arguments so that the maximum absolute value is 1
(let ((x1 (abs x)) (y1 (abs y)))
(cond ((> y1 x1)
(setf x (/ x y1))
(setf y (signum y)))
((not (zerop x))
(setf y (/ y x1))
(setf x (signum x))))))
#+32-bit-target
(target::with-stack-short-floats ((sy y)
(sx x))
(%sf-atan2! sy sx))
#+64-bit-target
(%sf-atan2 (%short-float y) (%short-float x)))))
((typep y 'double-float)
(%double-float-atan! y (%make-dfloat)))
((typep y 'single-float)
#+32-bit-target
(%single-float-atan! y (%make-sfloat))
#+64-bit-target
(%single-float-atan y))
((typep y 'rational)
(cond ((<= (abs y) most-positive-short-float)
#+32-bit-target
(target::with-stack-short-floats ((sy y))
(%single-float-atan! sy (%make-sfloat)))
#+64-bit-target
(%single-float-atan (%short-float y)))
((minusp y)
#.(- single-float-half-pi))
(t
single-float-half-pi)))
(t
(let ((r (realpart y))
(i (imagpart y)))
(if (zerop i)
(complex (atan r) i)
(i* (%complex-atanh (complex (- i) r)) -1))))))
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