From cccdd1122cae9f90eca994077f682f5e352e7a88 Mon Sep 17 00:00:00 2001 From: Abdulaziz Ghuloum Date: Sun, 10 Jun 2007 07:55:49 +0300 Subject: [PATCH] * Added flonum->string using dybvig's algorithm. --- bin/ikarus | Bin 67808 -> 67808 bytes bin/ikarus-flonums.c | 6 +- src/ikarus.boot | Bin 2744765 -> 2767838 bytes src/ikarus.numerics.ss | 180 ++++++++++++++++++++++++++++++++++++----- 4 files changed, 164 insertions(+), 22 deletions(-) diff --git a/bin/ikarus b/bin/ikarus index 2391656894a253841982c0763a46f3551c1d40b7..616627e0871a7935207c17798c1690deef0e94f8 100755 GIT binary patch delta 8955 zcmaJ`3tUyj)}J|oA)*HjM3DoCAWt7C8VVvQ2NlIf3Zmi*lgPAu;3Ly}zzrrIj%lOj z6Y-g;7`c6*m_l+@%nHnIW|ri|+FUKod%IDVe*f8f_Bm+YuU~8U&zkj`HEY%$ux_nW z-CCzLB`tyoX?KVa;<@%%KiBr36SCBekoITS{@%}Z-3>xqu(a+o7DxNJ7K>@|XKXp` z*QylL9#}2?j1VW*#@S1*qb1E~ki6P?UaMWD&W5+29cyU+IZJ(ZWZ#Q~*vxeW34u=M zodSK}M41H5M=5nSbG_gW=iI^ITFv$O71=HYPJzn6i|pHHL+M54;^A+Yb%KR?_!_GT zaV~{ef%&S9rIoO89-*|F<$A0!MVEjJ7gqCCuG|)q@b(D*Dar-b&C`osV2PfKT`nJo zliU#(*f~#ML+Nq$y=UZ@3xwoXENCuO1x}oFR%wQ*m2e|oK(OgzlZp=r>rxktR!I29H#+k zjz`%Y7lUVa+!+&nd%vAi9gj;LlY8f&6YOLi<9T%B2COMA1!Du9Y|_5{n$ydFup}@4 zeo(OzsnI{XljcU@%RGD1bu8K4?7&1Zb--GF)`LfntWw=MdAHX9O8?I4+pnZmY<7o0 z*Mq`zQ5DEdg_Yw8+w+d;23E z7yFmDDf)sWXr5(L3 zkS@3dIEQ|fT~F6ZGJcSbEbk4lzqTIgHB%Lg96}u!7w)CD95N`? zsmgugWZapW(|Y9fKw9Lpcj=MWf@hEXeN6Po^MR2&^Z4sy1 zT)N|WUQ!mI~OzdWkg$eNw{5?8pCV8fn1kI#ck+I6L zg9x%bu7rK>?-#)P6l|8LHm}foea%&tf;&B*^!pA??(Ql4l;W@| zRnTmIzD~#=CwOCvthj&Z*IKE87FfA8xy2bpuYSp|vdIp=npbCLJi!O!#6E z#qwX?#10YK(0ZiRb`z)TrFwT3HDu}DS3`C7t z(h>;Ch8P5FlOj0mp~5H*gH$-2LvIzva%coZYD6GT=s0R1+161_0{O@&Ems2}+e9FX z@gdXd&|G&r5WNQF=~gh7)pTh?kF%Ry5;2AbXZbZl1F3g14Q_kbs*rF@j)nM#kKLj>&VjJqu^AJ+gLDM8N;yY);RVd% z^4Jw;>H;^9I0`RyH;WJTqet1)P+xk4Swc;nFK^aVwn0o+c~Mj0UlVub%U$eD=x|88 zg$4J)g4FnE!Bypstfz^9r={r(H>I|SVc^-L{a9u%hxu5*Dx(H$ISX61N)8d68XB~V z32Eew8kY*?HeZCb0)F(clDSXqvu=~v)13|0)yW0V*-&jvHLaS78nDy^ra_uUF*B@qw!q_#H1VI}AW9!!o%r2tR8VFv2`lX3beko!*y7g`IK1@~SR~YkLkwr6f8oKPyiN=t0~@OVuNuf=g$WJ}=?>581+XQDrwEpbPJ9BJ8aS zuP))+dw!-6-rPiZnkKAX_z2~5To0JxTU1tJ1zm=3p(AP~R~ojB)%EbDCG1g;YI=}W zM@C|N5cx2gH)A!51nq%{H|jsv>U$atGxj|hA)tqOYrh=XD})+iHnE9OJLr4tUB z-uYBh{{qs|vt^BL>V5QTyQ!lP&`nwQF>CKcx=+5`yNDVBH?Vont!=^ID&~6S^j_u` z-IMNR1ENjsifv#bUEl0+DDU3G=0!(^U*SvYjoAoIyPE|~B!>Z8rHy-8ZL}$>RG8vS zJ&v}(c;u+BU7OShiQDV+!kDFGuag7%-k=@o3w2M*?k1kRcQNl6Kf06ki`j|so0#|L z4*AX4{)Q;Kl(?RFA~w06h1?wWG;X^i5Z~>rF)oX4XVV6Z`HQ;$W9nH#{Ux-2eIMP5 zm@+`7+vKhB@6hfCpB}G*2B#~W=FJYTJDYT=kYxG8ouSz z`^M8BATArN7POq)Dju2o(6g=J59Wq&L~WJcc+#{7#2lS;x}=$&(8P2nV5J8J zafN`?{4C{p3+4)HQ93MJaMmrG82AoNOSy+ZGvM@?0V53DKCRT+mv8YF$Mdh+AHbKl zD~IjN=d@+G-olsip0cH$kAEHB;2|QUmC!^vsNH@fuwM5OO63anMdD%)ZW&Ik$@QoS zC;ohQeuqsPyfJ7&j=ss>kg?yqfDMlPH?C*CLrjM8`Ku$Z5nEFtrSyf9jh2>O8!Jl)44(=uW0x~K0;6c%26<_sgDX8l~7(L z3!7=7e#3Rt)BOa2+BfdHj)f(KyEX`m^^8qPGSPKxSyESw2a~hNMhM|jCa_SGAmk`qToN@R)Yi=V|vxL}sgK1s=A})B# zJl0_e8#it`UBSx79i&TGR@%$0pIE+;HWCZn$G?H`!1%w>C34t=_7syr6N~6_c5`A> z2b!&)z=v-(IRWS8tb6)+NEW2O;{CW)O`aE5d<}bRdIuIfX(-KMb0={xKTh&?fw&f( zaq@I(k>^it$z58egsb7%wCJsfzHCZ87Pd`&<;l3)P0K)TUZ0kT<%($wo?IT3aRLi} zW<0qd=S<(rT?Nm0a)s@mvC)yx<^MaOGcrfeMeIoCG?;1k(!3`c<|?qKU>`~7^@V`i9Pd^Ss;8P>KpR&Gmroy95- zGuXzNANLwDRX^By^P3!O**u4x)xZutlCf*UD~6z1Q*^y-EZeVS{v3zi#5t^dc3SH^ zNZ!uH%|OrDI)!z5)x)y_tcG-yr*1Y~89qf$di5PjGuX}7I@1if`J82#$a!+(bAESU;p$%3dh&<~Q(xHQCKN`a!|@!&{y; 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- fprintf(stderr, "fl=%f\t", fl); fl *= exp2(32); - fprintf(stderr, "fl=%f\t", fl); fl += ((unsigned int)ref(x, disp_bignum_data - vector_tag)); - fprintf(stderr, "fl=%f\n", fl); } else { fl = ((unsigned int)ref(x, limbs * wordsize - wordsize + @@ -213,6 +209,7 @@ ikrt_bignum_to_flonum(ikp x, ikpcb* pcb){ fl = -fl; } flonum_data(r) = fl; +#if 0 { int i; unsigned char* p = (unsigned char*)(r+disp_flonum_data-vector_tag); @@ -221,6 +218,7 @@ ikrt_bignum_to_flonum(ikp x, ikpcb* pcb){ } fprintf(stderr, "\n"); } +#endif return r; } diff --git a/src/ikarus.boot b/src/ikarus.boot index faec3fada996eb61181317b75cbda08888e3eff3..aa4c92bb716c2a257fc926970be7275382af8435 100644 GIT binary patch delta 810113 zcmbrn33!vm_Bh;W(gjK(kT%_E14#j)P13!Pq)qpP?r?hn~SrHD|txGM^7SFa+Vh^ottvxRK|+z%#T9F=%oQz79IBrElJ$FbP~e1YLsKHgU?*3hi2GUV%dr>lz#%{H7^ z;Nu#$l8NFeXlZG_pU9n03-P(i>GPSVc>(^rgdV&%()y^M#opiOLGd-^>qo%cDEHb7$}{410R~@ zW3dO3W*7QRhk|TF+qI{2lUR zE_>|fA4ozj%yXXi+-NL3xUpdNObe5qy@fD%jPfND^ z8Sl`*T%d^@wqz9rv#^PJl31KnT!JCL9wnBSg@o&d;yO4UdUQ&n*+18q`e5jClfGnp$C0 zcEp9ZnM>RBx+>-Fi*^!JE?l4bM^Q3K=sI=K<3&^tuVh_Roq>ZUMh}D zjML^C(zUlPWG)2;*;@HFjqUc!S|=jj8{k^mKdVHL5S7zVA=O#Z6viT@QJuhq2yW6& z@UC;WJDGH&m+~ffN2O3@?W+|+q<2E|Xp*Z7vqi97*lg(NQOXO8D~i-brINyY?OF*F zCRkvH#bjhj?Yb@&E5u^};lR;H^?+sX>_>$8n)tR@V_i{HbbCTWt~y`4Wu5~&UKg=A znkKPhCA2`8+9(WTKAm%uK;N90qR3SgM0XfcV>MNIj6gUsHt82xhJ;UQrrFlaazRm) zwyazwt!$09B&aiVvCL<}Y+ms0Y)mw)M=oM@gvQ5zj+KoekFxE4HO_3k+ec{4mVw$P z{C77jWlHZ9+6H&U-#Idz`4O@P$au%+4Wb7b#y4@YBK*>Kok7Fxk zkGr~<=iq%Wg$kL=ejNg5&B=87FXz1mYGmE}ekqF`1&~`8MxV)a5{y!`ABVr25U0D^#bBaP#%G0cavO@P0vbv>~ZBCaFCw zUKw6yNK`Tx11Ds{+QjY*Cko#C0IEj@wFzQ-P2D+tS*D(*R#|plbvd&)C`veKjdq!d z*PRTJPYm*N>>%GgzRXeR53Gb4oE=>4`sz6>j&lp7y8dLaAD^Ex&cm0#a`TC=ATkDv zI}DWN8jKWOEjfi~6)H2dYg34A&B(>%IpqZnNv+1ldS#SCt!-pn=dPT|jwg$2!<+c*D`Gzn(6bxeSQ15<3GBi+ zL6GYCtE{%HVl~I8jg-_ibd??D_@UiDzMGu7X7uh2mih=PW)8x7}Jo<^@ z0_$>i=qCb8Y?fYKl@~5)%v7dj_Y^U*u;(T$9F}qTRFiv()ka|qWIY8D2D2w@+Hqp% zymIkhLS~0J$bG|SuY5s&&gXe&lLbsPZNq09lg9_Puh6sW7H?jlpdviCKBK#$Q>)8V zD7)o-OvJn}L0xHFk-T1~ZBr?e@_I7sm=*I7KLT?Oi zZ)RQ-j6g;v$r#;WaijT`X>X=p6NIhcZ&<|w7LfdrH&d<&2SdO%0bqX*QW`SA)m%kV zI=0Bqv!0|>)^?VYly@4fCSq1DaN~I!X~K^ek*{agEePNpPNBmM5-@NYh@s}n$UsDn z9?$-VXAo~!E@uKkO9LywhN4D{VxhkvE+!*eS0Zc4uS_V;H8&?R#S7>1a*%}STbLE- zs2Cp^2gOK+TdQ#;?Z^@< zSVeP0cWqMz1*_9!go}&AWhzB+REhAHFA)FCknUd`I@%`1;p8iM>FkEc|~Ml*Ax3=+aN1HRq=L z&UlqwjQN9`WWQlWwMaO91OU&2HC+tz*Tcit<3-M-Kf8DdPm-!;00yah)m4; 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flonum->string $flonum->exact - inexact->exact) + (export $flonum->exact flonum-parts inexact->exact) (import (ikarus system $bytevectors) (ikarus system $flonums) - (except (ikarus) flonum->string string->flonum inexact->exact)) - - (define (flonum->string x) - (utf8-bytevector->string - (or (foreign-call "ikrt_flonum_to_bytevector" x - ($make-bytevector 80)) - (error 'flonum->string "~s is not a flonum" x)))) - - (define (string->flonum x) - (cond - [(string? x) - (foreign-call "ikrt_bytevector_to_flonum" - (string->utf8-bytevector x))] - [else - (error 'string->flonum "~s is not a string" x)])) + (except (ikarus) inexact->exact)) (define (flonum-bytes f) (unless (flonum? f) @@ -38,7 +24,6 @@ ($flonum-u8-ref f 5) ($flonum-u8-ref f 6) ($flonum-u8-ref f 7))) - (define (flonum-parts x) (unless (flonum? x) (error 'flonum-parts "~s is not a flonum" x)) @@ -1300,3 +1285,162 @@ (convert-sign x ($string-length x))] [else (error 'string->number "~s is not a string" x)]))) ) + + +(library (ikarus flonum-conversion) + (export string->flonum flonum->string) + (import + (ikarus system $bytevectors) + (ikarus system $flonums) + (only (ikarus flonums) flonum-parts) + (except (ikarus) flonum->string string->flonum )) + + ;(define (flonum->string x) + ; (utf8-bytevector->string + ; (or (foreign-call "ikrt_flonum_to_bytevector" x + ; ($make-bytevector 80)) + ; (error 'flonum->string "~s is not a flonum" x)))) + + (define (even? n) + (= (remainder n 2) 0)) + + (module (flonum->string) + (module (flonum->digits) + (define flonum->digits + (lambda (f e min-e p b B) + ;;; flonum v = f * b^e + ;;; p = precision (p >= 1) + (let ([round? (even? f)]) + (if (>= e 0) + (if (not (= f (expt b (- p 1)))) + (let ([be (expt b e)]) + (scale (* f be 2) 2 be be 0 B round? f e)) + (let* ([be (expt b e)] [be1 (* be b)]) + (scale (* f be1 2) (* b 2) be1 be 0 B round? f e))) + (if (or (= e min-e) (not (= f (expt b (- p 1))))) + (scale (* f 2) (* (expt b (- e)) 2) 1 1 0 B round? f e) + (scale (* f b 2) (* (expt b (- 1 e)) 2) b 1 0 B round? f e)))))) + (define (len n) + (let f ([n n] [i 0]) + (cond + [(zero? n) i] + [else (f (quotient n 2) (+ i 1))]))) + (define scale + (lambda (r s m+ m- k B round? f e) + (let ([est (inexact->exact + (ceiling + (- (* (+ e (len f) -1) (invlog2of B)) + (exact->inexact (expt 10 -10)))))]) + (if (>= est 0) + (fixup r (* s (exptt B est)) m+ m- est B round?) + (let ([scale (exptt B (- est))]) + (fixup (* r scale) s (* m+ scale) (* m- scale) est B round?)))))) + (define fixup + (lambda (r s m+ m- k B round?) + (if ((if round? >= >) (+ r m+) s) ; too low? + (values (+ k 1) (generate r s m+ m- B round?)) + (values k (generate (* r B) s (* m+ B) (* m- B) B round?))))) + (define (chr x) + (vector-ref '#(#\0 #\1 #\2 #\3 #\4 #\5 #\6 #\7 #\8 #\9) x)) + (define generate + (lambda (r s m+ m- B round?) + (let-values ([(q r) (quotient+remainder r s)]) + (let ([tc1 ((if round? <= <) r m-)] + [tc2 ((if round? >= >) (+ r m+) s)]) + (if (not tc1) + (if (not tc2) + (cons (chr q) (generate (* r B) s (* m+ B) (* m- B) B round?)) + (list (chr (+ q 1)))) + (if (not tc2) + (list (chr q)) + (if (< (* r 2) s) + (list (chr q)) + (list (chr (+ q 1)))))))))) + (define invlog2of + (let ([table (make-vector 37)] + [log2 (log 2)]) + (do ([B 2 (+ B 1)]) + ((= B 37)) + (vector-set! table B (/ log2 (log B)))) + (lambda (B) + (if (<= 2 B 36) + (vector-ref table B) + (/ log2 (log B)))))) + (define exptt + (let ([table (make-vector 326)]) + (do ([k 0 (+ k 1)] [v 1 (* v 10)]) + ((= k 326)) + (vector-set! table k v)) + (lambda (B k) + (if (and (= B 10) (<= 0 k 325)) + (vector-ref table k) + (expt B k)))))) + (define (format-flonum pos? expt digits) + (define (next x) + (if (null? x) + (values #\0 '()) + (values (car x) (cdr x)))) + (define (format-flonum-no-expt expt d0 d*) + (cond + [(= expt 1) + (cons d0 (if (null? d*) '(#\. #\0) (cons #\. d*)))] + [else + (cons d0 + (let-values ([(d0 d*) (next d*)]) + (format-flonum-no-expt (- expt 1) d0 d*)))])) + (define (format-flonum-no-expt/neg expt d*) + (cond + [(= expt 0) d*] + [else (cons #\0 (format-flonum-no-expt/neg (+ expt 1) d*))])) + (define (sign pos? ls) + (if pos? + (list->string ls) + (list->string (cons #\- ls)))) + (let ([d0 (car digits)] [d* (cdr digits)]) + (cond + [(null? d*) + (if (char=? d0 #\0) + (if pos? "0.0" "-0.0") + (if (= expt 1) + (if pos? + (string d0 #\. #\0) + (string #\- d0 #\. #\0)) + (string-append + (if pos? "" "-") + (string d0) "e" (fixnum->string (- expt 1)))))] + [(and (null? d*) (char=? d0 #\0)) (if pos? "0.0" "-0.0")] + [(<= 1 expt 9) + (sign pos? (format-flonum-no-expt expt d0 d*))] + [(<= -3 expt 0) + (sign pos? (list* #\0 #\. (format-flonum-no-expt/neg expt digits)))] + [else + (string-append + (if pos? "" "-") + (string d0) "." (list->string d*) + "e" (fixnum->string (- expt 1)))]))) + (define (flo->string pos? m e p) + ; (printf "compo: ~s ~s ~s\n" m e p) + (let-values ([(expt digits) (flonum->digits m e 10 p 2 10)]) + (format-flonum pos? expt digits))) + (define (flonum->string x) + (let-values ([(pos? be m) (flonum-parts x)]) + (cond + [(<= 1 be 2046) ; normalized flonum + (flo->string pos? (+ m (expt 2 52)) (- be 1075) 53)] + [(= be 0) + (flo->string pos? m -1074 52)] + [(= be 2047) + (if (= m 0) + (if pos? "+inf.0" "-inf.0") + (if pos? "+nan.0" "-nan.0"))] + [else (error 'flonum->string "cannot happen")])))) + + (define (string->flonum x) + (cond + [(string? x) + (foreign-call "ikrt_bytevector_to_flonum" + (string->utf8-bytevector x))] + [else + (error 'string->flonum "~s is not a string" x)])) + + )