X-Git-Url: http://repo.macrolet.net/gitweb/?a=blobdiff_plain;f=src%2Fcode%2Firrat.lisp;h=55dbb831a1d2bf5ea1ed8eace0b6125c4f3da7d9;hb=65b5ab7e713d04e0d76bc0ee196374f6e57b922f;hp=9b901e83574955f856c46616bae6e75dbc2deb34;hpb=4898ef32c639b1c7f4ee13a5ba566ce6debd03e6;p=sbcl.git diff --git a/src/code/irrat.lisp b/src/code/irrat.lisp index 9b901e8..55dbb83 100644 --- a/src/code/irrat.lisp +++ b/src/code/irrat.lisp @@ -46,13 +46,21 @@ `(defun ,name ,ll (,name ,@ll)))) (def %atan2 (x y)) (def %atan (x)) + (def %tan (x)) (def %tan-quick (x)) + (def %cos (x)) (def %cos-quick (x)) + (def %sin (x)) (def %sin-quick (x)) (def %sqrt (x)) (def %log (x)) (def %exp (x))) +#!+x86-64 ;; for constant folding +(macrolet ((def (name ll) + `(defun ,name ,ll (,name ,@ll)))) + (def %sqrt (x))) + ;;;; stubs for the Unix math library ;;;; ;;;; Many of these are unnecessary on the X86 because they're built @@ -62,25 +70,65 @@ #!-x86 (def-math-rtn "sin" 1) #!-x86 (def-math-rtn "cos" 1) #!-x86 (def-math-rtn "tan" 1) -(def-math-rtn "asin" 1) -(def-math-rtn "acos" 1) #!-x86 (def-math-rtn "atan" 1) #!-x86 (def-math-rtn "atan2" 2) -(def-math-rtn "sinh" 1) -(def-math-rtn "cosh" 1) -(def-math-rtn "tanh" 1) -(def-math-rtn "asinh" 1) -(def-math-rtn "acosh" 1) -(def-math-rtn "atanh" 1) +#!-win32 +(progn + (def-math-rtn "acos" 1) + (def-math-rtn "asin" 1) + (def-math-rtn "cosh" 1) + (def-math-rtn "sinh" 1) + (def-math-rtn "tanh" 1) + (def-math-rtn "asinh" 1) + (def-math-rtn "acosh" 1) + (def-math-rtn "atanh" 1)) +#!+win32 +(progn + (declaim (inline %asin)) + (defun %asin (number) + (%atan (/ number (sqrt (- 1 (* number number)))))) + (declaim (inline %acos)) + (defun %acos (number) + (- (/ pi 2) (%asin number))) + (declaim (inline %cosh)) + (defun %cosh (number) + (/ (+ (exp number) (exp (- number))) 2)) + (declaim (inline %sinh)) + (defun %sinh (number) + (/ (- (exp number) (exp (- number))) 2)) + (declaim (inline %tanh)) + (defun %tanh (number) + (/ (%sinh number) (%cosh number))) + (declaim (inline %asinh)) + (defun %asinh (number) + (log (+ number (sqrt (+ (* number number) 1.0d0))) #.(exp 1.0d0))) + (declaim (inline %acosh)) + (defun %acosh (number) + (log (+ number (sqrt (- (* number number) 1.0d0))) #.(exp 1.0d0))) + (declaim (inline %atanh)) + (defun %atanh (number) + (let ((ratio (/ (+ 1 number) (- 1 number)))) + ;; Were we effectively zero? + (if (= ratio -1.0d0) + 0.0d0 + (/ (log ratio #.(exp 1.0d0)) 2.0d0))))) ;;; exponential and logarithmic #!-x86 (def-math-rtn "exp" 1) #!-x86 (def-math-rtn "log" 1) #!-x86 (def-math-rtn "log10" 1) -(def-math-rtn "pow" 2) -#!-x86 (def-math-rtn "sqrt" 1) -(def-math-rtn "hypot" 2) -#!-(or hpux x86) (def-math-rtn "log1p" 1) +#!-win32(def-math-rtn "pow" 2) +#!-(or x86 x86-64) (def-math-rtn "sqrt" 1) +#!-win32 (def-math-rtn "hypot" 2) +#!-x86 (def-math-rtn "log1p" 1) + +#!+win32 +(progn + ;; FIXME: libc hypot "computes the sqrt(x*x+y*y) without undue overflow or underflow" + ;; ...we just do the stupid simple thing. + (declaim (inline %hypot)) + (defun %hypot (x y) + (sqrt (+ (* x x) (* y y))))) ;;;; power functions @@ -183,6 +231,7 @@ (when (zerop (logior y-ihi y-lo)) (return-from real-expt (coerce 1d0 rtype))) ;; +-NaN return x+y + ;; FIXME: Hardcoded qNaN/sNaN values are not portable. (when (or (> x-ihi #x7ff00000) (and (= x-ihi #x7ff00000) (/= x-lo 0)) (> y-ihi #x7ff00000) @@ -306,11 +355,20 @@ "Return the logarithm of NUMBER in the base BASE, which defaults to e." (if base-p (cond - ((zerop base) 0f0) ; FIXME: type + ((zerop base) + (if (or (typep number 'double-float) (typep base 'double-float)) + 0.0d0 + 0.0f0)) ((and (typep number '(integer (0) *)) (typep base '(integer (0) *))) (coerce (/ (log2 number) (log2 base)) 'single-float)) - (t (/ (log number) (log base)))) + ((and (typep number 'integer) (typep base 'double-float)) + ;; No single float intermediate result + (/ (log2 number) (log base 2.0d0))) + ((and (typep number 'double-float) (typep base 'integer)) + (/ (log number 2.0d0) (log2 base))) + (t + (/ (log number) (log base)))) (number-dispatch ((number number)) (((foreach fixnum bignum)) (if (minusp number) @@ -578,18 +636,6 @@ ((complex) (complex-atanh number)))) -;;; HP-UX does not supply a C version of log1p, so use the definition. -;;; -;;; FIXME: This is really not a good definition. As per Raymond Toy -;;; working on CMU CL, "The definition really loses big-time in -;;; roundoff as x gets small." -#!+hpux -#!-sb-fluid (declaim (inline %log1p)) -#!+hpux -(defun %log1p (number) - (declare (double-float number) - (optimize (speed 3) (safety 0))) - (the double-float (log (the (double-float 0d0) (+ number 1d0))))) ;;;; not-OLD-SPECFUN stuff ;;;; @@ -762,8 +808,13 @@ (values (double-from-bits 0 (1+ sb!vm:double-float-normal-exponent-max) 0) 0)) - ((let ((threshold #.(/ least-positive-double-float - double-float-epsilon)) + ((let ((threshold + ;; (/ least-positive-double-float double-float-epsilon) + (load-time-value + #!-long-float + (sb!kernel:make-double-float #x1fffff #xfffffffe) + #!+long-float + (error "(/ least-positive-long-float long-float-epsilon)"))) (traps (ldb sb!vm::float-sticky-bits (sb!vm:floating-point-modes)))) ;; Overflow raised or (underflow raised and rho < @@ -840,10 +891,22 @@ ;; influences the choices of these constants but doesn't say how to ;; choose them. We'll just assume his choices matches our ;; implementation of log1p. - (let ((t0 #.(/ 1 (sqrt 2.0d0))) + (let ((t0 (load-time-value + #!-long-float + (sb!kernel:make-double-float #x3fe6a09e #x667f3bcd) + #!+long-float + (error "(/ (sqrt 2l0))"))) + ;; KLUDGE: if repeatable fasls start failing under some weird + ;; xc host, this 1.2d0 might be a good place to examine: while + ;; it _should_ be the same in all vaguely-IEEE754 hosts, 1.2 + ;; is not exactly representable, so something could go wrong. (t1 1.2d0) (t2 3d0) - (ln2 #.(log 2d0)) + (ln2 (load-time-value + #!-long-float + (sb!kernel:make-double-float #x3fe62e42 #xfefa39ef) + #!+long-float + (error "(log 2l0)"))) (x (float (realpart z) 1.0d0)) (y (float (imagpart z) 1.0d0))) (multiple-value-bind (rho k) @@ -941,16 +1004,11 @@ ;; space 0 to get maybe-inline functions inlined (declare (optimize (speed 3) (space 0))) (cond ((> (abs x) - ;; FIXME: this form is hideously broken wrt - ;; cross-compilation portability. Much else in this - ;; file is too, of course, sometimes hidden by - ;; constant-folding, but this one in particular clearly - ;; depends on host and target - ;; MOST-POSITIVE-DOUBLE-FLOATs being equal. -- CSR, - ;; 2003-04-20 - #.(/ (+ (log 2.0d0) - (log most-positive-double-float)) - 4d0)) + (load-time-value + #!-long-float + (sb!kernel:make-double-float #x406633ce #x8fb9f87e) + #!+long-float + (error "(/ (+ (log 2l0) (log most-positive-long-float)) 4l0)"))) (coerce-to-complex-type (float-sign x) (float-sign y) z)) (t