1 ;;;; floating-point-related tests with no side effects
3 ;;;; This software is part of the SBCL system. See the README file for
6 ;;;; While most of SBCL is derived from the CMU CL system, the test
7 ;;;; files (like this one) were written from scratch after the fork
10 ;;;; This software is in the public domain and is provided with
11 ;;;; absolutely no warranty. See the COPYING and CREDITS files for
12 ;;;; more information.
14 (cl:in-package
:cl-user
)
16 (with-test (:name
(:infinities
:comparison
))
17 (dolist (ifnis (list (cons single-float-positive-infinity
18 single-float-negative-infinity
)
19 (cons double-float-positive-infinity
20 double-float-negative-infinity
)))
21 (destructuring-bind (+ifni . -ifni
) ifnis
22 (assert (= (* +ifni
1) +ifni
))
23 (assert (= (* +ifni -
0.1) -ifni
))
24 (assert (= (+ +ifni -
0.1) +ifni
))
25 (assert (= (- +ifni -
0.1) +ifni
))
26 (assert (= (sqrt +ifni
) +ifni
))
27 (assert (= (* -ifni -
14) +ifni
))
28 (assert (= (/ -ifni
0.1) -ifni
))
29 (assert (= (/ -ifni
100/3) -ifni
))
30 (assert (not (= +ifni -ifni
)))
31 (assert (= -ifni -ifni
))
32 (assert (not (= +ifni
100/3)))
33 (assert (not (= -ifni -
1.0 -ifni
)))
34 (assert (not (= -ifni -
17/02 -ifni
)))
35 (assert (< -ifni
+ifni
))
36 (assert (not (< +ifni
100)))
37 (assert (not (< +ifni
100.0)))
38 (assert (not (< +ifni -ifni
)))
39 (assert (< 100 +ifni
))
40 (assert (< 100.0 +ifni
))
41 (assert (>= 100 -ifni
))
42 (assert (not (<= 6/7 (* 3 -ifni
))))
43 (assert (not (> +ifni
+ifni
))))))
45 ;;; ANSI: FLOAT-RADIX should signal an error if its argument is not a
48 ;;; (Peter Van Eynde's ansi-test suite caught this, and Eric Marsden
49 ;;; reported a fix for CMU CL, which was ported to sbcl-0.6.12.35.)
50 (with-test (:name
(float-radix simple-type-error
))
51 (multiple-value-bind (fun failure-p warnings
)
52 (checked-compile '(lambda () (float-radix "notfloat")) :allow-warnings t
)
54 (assert (= 1 (length warnings
)))
55 (assert-error (funcall fun
) type-error
))
56 (assert-error (funcall (fdefinition 'float-radix
) "notfloat") type-error
))
58 ;;; Before 0.8.2.14 the cross compiler failed to work with
59 ;;; denormalized numbers
60 (with-test (:name
(:denormalized float
))
61 (when (subtypep 'single-float
'short-float
)
62 (assert (eql least-positive-single-float least-positive-short-float
))))
64 ;;; bug found by Paul Dietz: FFLOOR and similar did not work for integers
65 (with-test (:name
(ffloor integer
))
66 (let ((tests '(((ffloor -
8 3) (-3.0
1))
67 ((fround -
8 3) (-3.0
1))
68 ((ftruncate -
8 3) (-2.0 -
2))
69 ((fceiling -
8 3) (-2.0 -
2)))))
70 (loop for
(exp res
) in tests
71 for real-res
= (multiple-value-list (eval exp
))
72 do
(assert (equal real-res res
)))))
74 ;;; bug 45b reported by PVE
75 (with-test (:name
(:least-
*-
*-float
:bug-45b
))
76 (dolist (type '(short single double long
))
77 (dolist (sign '(positive negative
))
78 (let* ((name (find-symbol (format nil
"LEAST-~A-~A-FLOAT"
81 (value (symbol-value name
)))
82 (assert (zerop (/ value
2)))))))
84 ;;; bug found by Paul Dietz: bad rounding on small floats
85 (with-test (:name
(fround least-positive-short-float
))
86 (assert (= (fround least-positive-short-float least-positive-short-float
) 1.0)))
88 ;;; bug found by Peter Seibel: scale-float was only accepting float
89 ;;; exponents, when it should accept all integers. (also bug #269)
90 (with-test (:name
(scale-float :bug-269
))
91 (assert (= (multiple-value-bind (significand expt sign
)
92 (integer-decode-float least-positive-double-float
)
93 (* (scale-float (float significand
0.0d0
) expt
) sign
))
94 least-positive-double-float
))
95 (assert (= (multiple-value-bind (significand expt sign
)
96 (decode-float least-positive-double-float
)
97 (* (scale-float significand expt
) sign
))
98 least-positive-double-float
))
99 (assert (= 0.0 (scale-float 1.0 most-negative-fixnum
)))
100 (assert (= 0.0d0
(scale-float 1.0d0
(1- most-negative-fixnum
)))))
102 (with-test (:name
(:scale-float-overflow
:bug-372
)
103 :fails-on
'(and :darwin
:ppc
)) ;; bug 372
105 (assert-error (funcall (checked-compile `(lambda () ,form
)
106 :allow-style-warnings t
))
107 floating-point-overflow
)))
108 (test '(scale-float 1.0 most-positive-fixnum
))
109 (test '(scale-float 1.0d0
(1+ most-positive-fixnum
)))))
111 ;;; bug found by jsnell when nfroyd tried to implement better LOGAND
113 (assert (= (integer-decode-float (coerce -
1756510900000000000
117 ;;; MISC.564: no out-of-line %ATAN2 for constant folding
118 (with-test (:name
(:%atan2
:constant-folding
))
123 (declare (optimize (speed 3) (safety 2) (debug 3) (space 0))
125 (phase (the (eql #c
(1.0d0
2.0d0
)) p1
))))
129 ;;; More out of line functions (%COS, %SIN, %TAN) for constant folding,
130 ;;; reported by Mika Pihlajamäki
131 (with-test (:name
(sin cos tan
:constant-folding
))
132 (flet ((test (function)
133 (funcall (checked-compile
134 `(lambda () (,function
(tan (round 0))))))))
135 (mapc #'test
'(sin cos tan
))))
137 (with-test (:name
(:addition-overflow
:bug-372
)
138 :fails-on
'(or (and :ppc
:openbsd
)
142 (sb-sys:without-interrupts
143 (sb-int:set-floating-point-modes
:current-exceptions nil
144 :accrued-exceptions nil
)
145 (loop repeat
2 summing most-positive-double-float
)
147 floating-point-overflow
))
149 ;; This is the same test as above. Even if the above copy passes,
150 ;; this copy will fail if SIGFPE handling ends up clearing the FPU
151 ;; control word, which can happen if the kernel clears the FPU control
152 ;; (a reasonable thing for it to do) and the runtime fails to
153 ;; compensate for this (see RESTORE_FP_CONTROL_WORD in interrupt.c).
154 ;; Note that this only works when running float.pure.lisp alone, as
155 ;; the preceeding "pure" test files aren't as free of side effects as
157 (with-test (:name
(:addition-overflow
:bug-372
:take-2
)
158 :fails-on
'(or (and :ppc
:openbsd
)
162 (sb-sys:without-interrupts
163 (sb-int:set-floating-point-modes
:current-exceptions nil
164 :accrued-exceptions nil
)
165 (loop repeat
2 summing most-positive-double-float
)
167 floating-point-overflow
))
169 ;;; On x86-64 generating complex floats on the stack failed an aver in
170 ;;; the compiler if the stack slot was the same as the one containing
171 ;;; the real part of the complex. The following expression was able to
172 ;;; trigger this in 0.9.5.62.
173 (with-test (:name
:complex-float-stack
)
174 (dolist (type '((complex double-float
)
175 (complex single-float
)))
176 (checked-compile `(lambda (x0 x1 x2 x3 x4 x5 x6 x7
)
177 (declare (type ,type x0 x1 x2 x3 x4 x5 x6 x7
))
186 (* (+ x0 x1 x2 x3
) (+ x4 x5 x6 x7
)
187 (+ x0 x2 x4 x6
) (+ x1 x3 x5 x7
)
188 (+ x0 x3 x4 x7
) (+ x1 x2 x5 x6
)
189 (+ x0 x1 x6 x7
) (+ x2 x3 x4 x5
)))))))
191 (with-test (:name
(:nan
:comparison
)
192 :fails-on
'(or :sparc
))
193 (sb-int:with-float-traps-masked
(:invalid
)
194 (macrolet ((test (form)
195 (let ((nform (subst '(/ 0.0 0.0) 'nan form
)))
197 (assert (eval ',nform
))
198 (assert (eval `(let ((nan (/ 0.0 0.0)))
201 (checked-compile `(lambda () ,',nform
))))
203 (checked-compile `(lambda (nan) ,',form
))
205 (declare (muffle-conditions style-warning
))
208 (test (/= nan nan nan
))
209 (test (/= 1.0 nan
2.0 nan
))
210 (test (/= nan
1.0 2.0 nan
))
211 (test (not (= nan
1.0)))
212 (test (not (= nan nan
)))
213 (test (not (= nan nan nan
)))
214 (test (not (= 1.0 nan
)))
215 (test (not (= nan
1.0)))
216 (test (not (= 1.0 1.0 nan
)))
217 (test (not (= 1.0 nan
1.0)))
218 (test (not (= nan
1.0 1.0)))
219 (test (not (>= nan nan
)))
220 (test (not (>= nan
1.0)))
221 (test (not (>= 1.0 nan
)))
222 (test (not (>= 1.0 nan
0.0)))
223 (test (not (>= 1.0 0.0 nan
)))
224 (test (not (>= nan
1.0 0.0)))
225 (test (not (<= nan nan
)))
226 (test (not (<= nan
1.0)))
227 (test (not (<= 1.0 nan
)))
228 (test (not (<= 1.0 nan
2.0)))
229 (test (not (<= 1.0 2.0 nan
)))
230 (test (not (<= nan
1.0 2.0)))
231 (test (not (< nan nan
)))
232 (test (not (< -
1.0 nan
)))
233 (test (not (< nan
1.0)))
234 (test (not (> nan nan
)))
235 (test (not (> -
1.0 nan
)))
236 (test (not (> nan
1.0))))))
238 (with-test (:name
:log-int
/double-accuracy
)
239 ;; we used to use single precision for intermediate results
240 (assert (eql 2567.6046442221327d0
241 (log (loop for n from
1 to
1000 for f
= 1 then
(* f n
)
245 (assert (eql (log 123123123.0d0
10) (log 123123123 10.0d0
))))
247 (with-test (:name
:log-base-zero-return-type
)
248 (assert (eql 0.0f0
(log 123 (eval 0))))
249 (assert (eql 0.0d0
(log 123.0d0
(eval 0))))
250 (assert (eql 0.0d0
(log 123 (eval 0.0d0
))))
251 (let ((f (checked-compile '(lambda (x y
)
252 (declare (optimize speed
))
256 (single-float (log x y
))
257 (double-float (log x y
))))
260 (single-float (log x y
))
261 (double-float (log x y
)))))))))
262 (assert (eql 0.0f0
(funcall f
123.0 0.0)))
263 (assert (eql 0.0d0
(funcall f
123.0d0
0.0)))
264 (assert (eql 0.0d0
(funcall f
123.0d0
0.0d0
)))
265 (assert (eql 0.0d0
(funcall f
123.0 0.0d0
)))))
267 ;; Bug reported by Eric Marsden on July 15 2009. The compiler
268 ;; used not to constant fold calls with arguments of type
270 (with-test (:name
:eql-type-constant-fold
)
271 (assert (equal '(FUNCTION (T) (VALUES (MEMBER T
) &OPTIONAL
))
272 (sb-kernel:%simple-fun-type
273 (compile nil
`(lambda (x)
275 (the (eql #c
(1.0
2.0))
278 ;; Leakage from the host could result in wrong values for truncation.
279 (with-test (:name
:truncate
)
280 (assert (plusp (sb-kernel:%unary-truncate
/single-float
(expt 2f0
33))))
281 (assert (plusp (sb-kernel:%unary-truncate
/double-float
(expt 2d0
33))))
282 ;; That'd be one strange host, but just in case
283 (assert (plusp (sb-kernel:%unary-truncate
/single-float
(expt 2f0
65))))
284 (assert (plusp (sb-kernel:%unary-truncate
/double-float
(expt 2d0
65)))))
286 ;; On x86-64, we sometimes forgot to clear the higher order bits of the
287 ;; destination register before using it with an instruction that doesn't
288 ;; clear the (unused) high order bits. Suspect instructions are operations
289 ;; with only one operand: for everything else, the destination has already
290 ;; been loaded with a value, making it safe (by induction).
292 ;; The tests are extremely brittle and could be broken by any number of
293 ;; back- or front-end optimisations. We should just keep the issue above
294 ;; in mind at all times when working with SSE or similar instruction sets.
296 ;; Run only on x86/x86-64m as no other platforms have SB-VM::TOUCH-OBJECT.
298 (macrolet ((with-pinned-floats ((count type
&rest names
) &body body
)
299 "Force COUNT float values to be kept live (and hopefully in registers),
300 fill a temporary register with noise, and execute BODY."
301 ;; KLUDGE: SB-VM is locked, and non-x86oids don't have
302 ;; SB-VM::TOUCH-OBJECT. Don't even READ this body on
305 (declare (ignore count type names body
))
307 (let ((dummy (loop repeat count
308 collect
(or (pop names
)
310 `(let ,(loop for i downfrom -
1
312 for j
= (coerce i type
)
314 `(,var
,(complex j j
))) ; we don't actually need that, but
315 (declare (type (complex ,type
) ,@dummy
)) ; future-proofing can't hurt
316 ,@(loop for var in dummy
318 collect
`(setf ,var
,(complex i
(coerce i type
))))
319 (multiple-value-prog1
321 (let ((x ,(complex 1d0
1d0
)))
322 (declare (type (complex double-float
) x
))
323 (setf x
,(complex most-positive-fixnum
(float most-positive-fixnum
1d0
)))
324 (sb-vm::touch-object x
))
326 ,@(loop for var in dummy
327 collect
`(sb-vm::touch-object
,var
)))))))
328 (with-test (:name
:clear-sqrtsd
:skipped-on
'(not (or :x86
:x86-64
)))
329 (flet ((test-sqrtsd (float)
330 (declare (optimize speed
(safety 1))
331 (type (double-float (0d0)) float
))
332 (with-pinned-floats (14 double-float x0
)
333 (let ((x (sqrt float
)))
334 (values (+ x x0
) float
)))))
335 (declare (notinline test-sqrtsd
))
336 (assert (zerop (imagpart (test-sqrtsd 4d0
))))))
338 (with-test (:name
:clear-sqrtsd-single
:skipped-on
'(not (or :x86
:x86-64
)))
339 (flet ((test-sqrtsd-float (float)
340 (declare (optimize speed
(safety 1))
341 (type (single-float (0f0)) float
))
342 (with-pinned-floats (14 single-float x0
)
343 (let ((x (sqrt float
)))
344 (values (+ x x0
) float
)))))
345 (declare (notinline test-sqrtsd-float
))
346 (assert (zerop (imagpart (test-sqrtsd-float 4f0
))))))
348 (with-test (:name
:clear-cvtss2sd
:skipped-on
'(not (or :x86
:x86-64
)))
349 (flet ((test-cvtss2sd (float)
350 (declare (optimize speed
(safety 1))
351 (type single-float float
))
352 (with-pinned-floats (14 double-float x0
)
353 (let ((x (float float
0d0
)))
354 (values (+ x x0
) (+ 1e0 float
))))))
355 (declare (notinline test-cvtss2sd
))
356 (assert (zerop (imagpart (test-cvtss2sd 1f0
))))))
358 (with-test (:name
:clear-cvtsd2ss
:skipped-on
'(not (or :x86
:x86-64
)))
359 (flet ((test-cvtsd2ss (float)
360 (declare (optimize speed
(safety 1))
361 (type double-float float
))
362 (with-pinned-floats (14 single-float x0
)
363 (let ((x (float float
1e0
)))
364 (values (+ x x0
) (+ 1d0 float
))))))
365 (declare (notinline test-cvtsd2ss
))
366 (assert (zerop (imagpart (test-cvtsd2ss 4d0
))))))
368 (with-test (:name
:clear-cvtsi2sd
:skipped-on
'(not (or :x86
:x86-64
)))
369 (flet ((test-cvtsi2sd (int)
370 (declare (optimize speed
(safety 0))
371 (type (unsigned-byte 10) int
))
372 (with-pinned-floats (15 double-float x0
)
373 (+ (float int
0d0
) x0
))))
374 (declare (notinline test-cvtsi2sd
))
375 (assert (zerop (imagpart (test-cvtsi2sd 4))))))
377 (with-test (:name
:clear-cvtsi2ss
:skipped-on
'(not (or :x86
:x86-64
)))
378 (flet ((test-cvtsi2ss (int)
379 (declare (optimize speed
(safety 0))
380 (type (unsigned-byte 10) int
))
381 (with-pinned-floats (15 single-float x0
)
382 (+ (float int
0e0
) x0
))))
383 (declare (notinline test-cvtsi2ss
))
384 (assert (zerop (imagpart (test-cvtsi2ss 4)))))))
386 (with-test (:name
:round-to-bignum
)
387 (assert (= (round 1073741822.3d0
) 1073741822))
388 (assert (= (round 1073741822.5d0
) 1073741822))
389 (assert (= (round 1073741822.7d0
) 1073741823))
390 (assert (= (round 1073741823.3d0
) 1073741823))
391 (assert (= (round 1073741823.5d0
) 1073741824))
392 (assert (= (round 1073741823.7d0
) 1073741824)))
394 (with-test (:name
:round-single-to-bignum
)
395 (assert (= (round 1e14
) 100000000376832))
396 (assert (= (round 1e19
) 9999999980506447872)))
398 (with-test (:name
:scaled-%hypot
)
399 (assert (<= (abs (complex most-positive-double-float
1d0
))
400 (1+ most-positive-double-float
))))
402 ;; On x86-64, MAKE-SINGLE-FLOAT with a negative argument used to set
403 ;; bits 32-63 of the XMM register to 1, breaking the invariant that
404 ;; unused parts of XMM registers are always zero. This could become
405 ;; visible as a QNaN in the imaginary part when next using the register
406 ;; in a (COMPLEX SINGLE-FLOAT) operation.
407 (with-test (:name
:make-single-float-clear-imagpart
)
408 (let ((f (checked-compile
410 (declare (optimize speed
))
413 (sb-kernel:make-single-float x
))))))
414 (bits (sb-kernel:single-float-bits -
2.0f0
)))
415 (assert (< bits
0)) ; Make sure the test is fit for purpose.
416 (assert (funcall f bits
))))
418 (with-test (:name
:negative-zero-derivation
)
420 (funcall (checked-compile
422 (declare ((integer 0 1) exponent
))
423 (eql 0d0
(scale-float -
0.0d0 exponent
))))