1.0.21.38: lisp-side %ASIN, %ACOS, %SINH, %TANH, and %HYPOT

[sbcl.git] / src / code / irrat.lisp

diff --git a/src/code/irrat.lisp b/src/code/irrat.lisp
index 07faa5c..12751a3 100644 (file)
--- a/src/code/irrat.lisp
+++ b/src/code/irrat.lisp
@@ -46,8 +46,11 @@
              `(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))
@@ -67,25 +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)
+#!-win32(def-math-rtn "pow" 2)
 #!-(or x86 x86-64) (def-math-rtn "sqrt" 1)
-(def-math-rtn "hypot" 2)
+#!-win32 (def-math-rtn "hypot" 2)
 #!-(or hpux 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)))))
 \f
 ;;;; power functions
 
@@ -188,6 +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)
@@ -311,11 +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)