(values double-float-significand double-float-int-exponent (integer -1 1))
(movable foldable flushable))
-(defknown scale-single-float (single-float fixnum) single-float
+(defknown scale-single-float (single-float integer) single-float
(movable foldable flushable))
-(defknown scale-double-float (double-float fixnum) double-float
+(defknown scale-double-float (double-float integer) double-float
(movable foldable flushable))
(deftransform decode-float ((x) (single-float) *)
((csubtypep y (specifier-type 'integer))
;; A real raised to an integer power is well-defined.
(merged-interval-expt x y))
+ ;; A real raised to a non-integral power can be a float or a
+ ;; complex number.
+ ((or (csubtypep x (specifier-type '(rational 0)))
+ (csubtypep x (specifier-type '(float (0d0)))))
+ ;; But a positive real to any power is well-defined.
+ (merged-interval-expt x y))
+ ((and (csubtypep x (specifier-type 'rational))
+ (csubtypep x (specifier-type 'rational)))
+ ;; A rational to the power of a rational could be a rational
+ ;; or a possibly-complex single float
+ (specifier-type '(or rational single-float (complex single-float))))
(t
- ;; A real raised to a non-integral power can be a float or a
- ;; complex number.
- (cond ((or (csubtypep x (specifier-type '(rational 0)))
- (csubtypep x (specifier-type '(float (0d0)))))
- ;; But a positive real to any power is well-defined.
- (merged-interval-expt x y))
- (t
- ;; a real to some power. The result could be a real
- ;; or a complex.
- (float-or-complex-float-type (numeric-contagion x y)))))))
+ ;; a real to some power. The result could be a real or a
+ ;; complex.
+ (float-or-complex-float-type (numeric-contagion x y)))))
(defoptimizer (expt derive-type) ((x y))
(two-arg-derive-type x y #'expt-derive-type-aux #'expt))
(plusp number)))
(values (1+ tru) (- rem ,defaulted-divisor))
(values tru rem)))))
+
+(defknown %unary-ftruncate (real) float (movable foldable flushable))
+(defknown %unary-ftruncate/single (single-float) single-float
+ (movable foldable flushable))
+(defknown %unary-ftruncate/double (double-float) double-float
+ (movable foldable flushable))
+
+(defun %unary-ftruncate/single (x)
+ (declare (type single-float x))
+ (declare (optimize speed (safety 0)))
+ (let* ((bits (single-float-bits x))
+ (exp (ldb sb!vm:single-float-exponent-byte bits))
+ (biased (the single-float-exponent
+ (- exp sb!vm:single-float-bias))))
+ (declare (type (signed-byte 32) bits))
+ (cond
+ ((= exp sb!vm:single-float-normal-exponent-max) x)
+ ((<= biased 0) (* x 0f0))
+ ((>= biased (float-digits x)) x)
+ (t
+ (let ((frac-bits (- (float-digits x) biased)))
+ (setf bits (logandc2 bits (- (ash 1 frac-bits) 1)))
+ (make-single-float bits))))))
+
+(defun %unary-ftruncate/double (x)
+ (declare (type double-float x))
+ (declare (optimize speed (safety 0)))
+ (let* ((high (double-float-high-bits x))
+ (low (double-float-low-bits x))
+ (exp (ldb sb!vm:double-float-exponent-byte high))
+ (biased (the double-float-exponent
+ (- exp sb!vm:double-float-bias))))
+ (declare (type (signed-byte 32) high)
+ (type (unsigned-byte 32) low))
+ (cond
+ ((= exp sb!vm:double-float-normal-exponent-max) x)
+ ((<= biased 0) (* x 0d0))
+ ((>= biased (float-digits x)) x)
+ (t
+ (let ((frac-bits (- (float-digits x) biased)))
+ (cond ((< frac-bits 32)
+ (setf low (logandc2 low (- (ash 1 frac-bits) 1))))
+ (t
+ (setf low 0)
+ (setf high (logandc2 high (- (ash 1 (- frac-bits 32)) 1)))))
+ (make-double-float high low))))))
+
+(macrolet
+ ((def (float-type fun)
+ `(deftransform %unary-ftruncate ((x) (,float-type))
+ '(,fun x))))
+ (def single-float %unary-ftruncate/single)
+ (def double-float %unary-ftruncate/double))