/* * Copyright (c) 1985 Regents of the University of California. * * Use and reproduction of this software are granted in accordance with * the terms and conditions specified in the Berkeley Software License * Agreement (in particular, this entails acknowledgement of the programs' * source, and inclusion of this notice) with the additional understanding * that all recipients should regard themselves as participants in an * ongoing research project and hence should feel obligated to report * their experiences (good or bad) with these elementary function codes, * using "sendbug 4bsd-bugs@BERKELEY", to the authors. * * @(#)support.s 1.3 (Berkeley) 8/21/85 * * copysign(x,y), * logb(x), * scalb(x,N), * finite(x), * drem(x,y), * Coded in vax assembly language by K.C. Ng, 3/14/85. * Revised by K.C. Ng on 4/9/85. */ /* * double copysign(x,y) * double x,y; */ .globl _copysign .text .align 1 _copysign: .word 0x4 movq 4(ap),r0 # load x into r0 bicw3 $0x807f,r0,r2 # mask off the exponent of x beql Lz # if zero or reserved op then return x bicw3 $0x7fff,12(ap),r2 # copy the sign bit of y into r2 bicw2 $0x8000,r0 # replace x by |x| bisw2 r2,r0 # copy the sign bit of y to x Lz: ret /* * double logb(x) * double x; */ .globl _logb .text .align 1 _logb: .word 0x0 bicl3 $0xffff807f,4(ap),r0 # mask off the exponent of x beql Ln ashl $-7,r0,r0 # get the bias exponent subl2 $129,r0 # get the unbias exponent cvtld r0,r0 # return the answer in double ret Ln: movq 4(ap),r0 # r0:1 = x (zero or reserved op) bneq 1f # simply return if reserved op movq $0x0000fe00ffffcfff,r0 # -2147483647.0 1: ret /* * long finite(x) * double x; */ .globl _finite .text .align 1 _finite: .word 0x0000 bicw3 $0x7f,4(ap),r0 # mask off the mantissa cmpw r0,$0x8000 # to see if x is the reserved op beql 1f # if so, return FALSE (0) movl $1,r0 # else return TRUE (1) ret 1: clrl r0 ret /* * double scalb(x,N) * double x; int N; */ .globl _scalb .set ERANGE,34 .text .align 1 _scalb: .word 0xc movq 4(ap),r0 bicl3 $0xffff807f,r0,r3 beql ret1 # 0 or reserved operand movl 12(ap),r2 cmpl r2,$0x12c bgeq ovfl cmpl r2,$-0x12c bleq unfl ashl $7,r2,r2 addl2 r2,r3 bleq unfl cmpl r3,$0x8000 bgeq ovfl addl2 r2,r0 ret ovfl: pushl $ERANGE calls $1,_infnan # if it returns bicw3 $0x7fff,4(ap),r2 # get the sign of input arg bisw2 r2,r0 # re-attach the sign to r0/1 ret unfl: movq $0,r0 ret1: ret /* * DREM(X,Y) * RETURN X REM Y =X-N*Y, N=[X/Y] ROUNDED (ROUNDED TO EVEN IN THE HALF WAY CASE) * DOUBLE PRECISION (VAX D format 56 bits) * CODED IN VAX ASSEMBLY LANGUAGE BY K.C. NG, 4/8/85. */ .globl _drem .set EDOM,33 .text .align 1 _drem: .word 0xffc subl2 $12,sp movq 4(ap),r0 #r0=x movq 12(ap),r2 #r2=y jeql Rop #if y=0 then generate reserved op fault bicw3 $0x007f,r0,r4 #check if x is Rop cmpw r4,$0x8000 jeql Ret #if x is Rop then return Rop bicl3 $0x007f,r2,r4 #check if y is Rop cmpw r4,$0x8000 jeql Ret #if y is Rop then return Rop bicw2 $0x8000,r2 #y := |y| movw $0,-4(fp) #-4(fp) = nx := 0 cmpw r2,$0x1c80 #yexp ? 57 bgtr C1 #if yexp > 57 goto C1 addw2 $0x1c80,r2 #scale up y by 2**57 movw $0x1c80,-4(fp) #nx := 57 (exponent field) C1: movw -4(fp),-8(fp) #-8(fp) = nf := nx bicw3 $0x7fff,r0,-12(fp) #-12(fp) = sign of x bicw2 $0x8000,r0 #x := |x| movq r2,r10 #y1 := y bicl2 $0xffff07ff,r11 #clear the last 27 bits of y1 loop: cmpd r0,r2 #x ? y bleq E1 #if x <= y goto E1 /* begin argument reduction */ movq r2,r4 #t =y movq r10,r6 #t1=y1 bicw3 $0x807f,r0,r8 #xexp= exponent of x bicw3 $0x807f,r2,r9 #yexp= exponent fo y subw2 r9,r8 #xexp-yexp subw2 $0x0c80,r8 #k=xexp-yexp-25(exponent bit field) blss C2 #if k<0 goto C2 addw2 r8,r4 #t +=k addw2 r8,r6 #t1+=k, scale up t and t1 C2: divd3 r4,r0,r8 #x/t cvtdl r8,r8 #n=[x/t] truncated cvtld r8,r8 #float(n) subd2 r6,r4 #t:=t-t1 muld2 r8,r4 #n*(t-t1) muld2 r8,r6 #n*t1 subd2 r6,r0 #x-n*t1 subd2 r4,r0 #(x-n*t1)-n*(t-t1) brb loop E1: movw -4(fp),r6 #r6=nx beql C3 #if nx=0 goto C3 addw2 r6,r0 #x:=x*2**57 scale up x by nx movw $0,-4(fp) #clear nx brb loop C3: movq r2,r4 #r4 = y subw2 $0x80,r4 #r4 = y/2 cmpd r0,r4 #x:y/2 blss E2 #if x < y/2 goto E2 bgtr C4 #if x > y/2 goto C4 cvtdl r8,r8 #ifix(float(n)) blbc r8,E2 #if the last bit is zero, goto E2 C4: subd2 r2,r0 #x-y E2: xorw2 -12(fp),r0 #x^sign (exclusive or) movw -8(fp),r6 #r6=nf bicw3 $0x807f,r0,r8 #r8=exponent of x bicw2 $0x7f80,r0 #clear the exponent of x subw2 r6,r8 #r8=xexp-nf bgtr C5 #if xexp-nf is positive goto C5 movw $0,r8 #clear r8 movq $0,r0 #x underflow to zero C5: bisw2 r8,r0 #put r8 into x's exponent field ret Rop: #Reserved operand pushl $EDOM calls $1,_infnan #generate reserved op fault ret Ret: movq $0x8000,r0 #propagate reserved op ret