diff options
Diffstat (limited to 'drivers/FPU-emu/poly_tan.c')
-rw-r--r-- | drivers/FPU-emu/poly_tan.c | 213 |
1 files changed, 0 insertions, 213 deletions
diff --git a/drivers/FPU-emu/poly_tan.c b/drivers/FPU-emu/poly_tan.c deleted file mode 100644 index d9b09e438..000000000 --- a/drivers/FPU-emu/poly_tan.c +++ /dev/null @@ -1,213 +0,0 @@ -/*---------------------------------------------------------------------------+ - | poly_tan.c | - | | - | Compute the tan of a FPU_REG, using a polynomial approximation. | - | | - | Copyright (C) 1992,1993,1994 | - | W. Metzenthen, 22 Parker St, Ormond, Vic 3163, | - | Australia. E-mail billm@vaxc.cc.monash.edu.au | - | | - | | - +---------------------------------------------------------------------------*/ - -#include "exception.h" -#include "reg_constant.h" -#include "fpu_emu.h" -#include "control_w.h" -#include "poly.h" - - -#define HiPOWERop 3 /* odd poly, positive terms */ -static const unsigned long long oddplterm[HiPOWERop] = -{ - 0x0000000000000000LL, - 0x0051a1cf08fca228LL, - 0x0000000071284ff7LL -}; - -#define HiPOWERon 2 /* odd poly, negative terms */ -static const unsigned long long oddnegterm[HiPOWERon] = -{ - 0x1291a9a184244e80LL, - 0x0000583245819c21LL -}; - -#define HiPOWERep 2 /* even poly, positive terms */ -static const unsigned long long evenplterm[HiPOWERep] = -{ - 0x0e848884b539e888LL, - 0x00003c7f18b887daLL -}; - -#define HiPOWERen 2 /* even poly, negative terms */ -static const unsigned long long evennegterm[HiPOWERen] = -{ - 0xf1f0200fd51569ccLL, - 0x003afb46105c4432LL -}; - -static const unsigned long long twothirds = 0xaaaaaaaaaaaaaaabLL; - - -/*--- poly_tan() ------------------------------------------------------------+ - | | - +---------------------------------------------------------------------------*/ -void poly_tan(FPU_REG const *arg, FPU_REG *result) -{ - long int exponent; - int invert; - Xsig argSq, argSqSq, accumulatoro, accumulatore, accum, - argSignif, fix_up; - unsigned long adj; - - exponent = arg->exp - EXP_BIAS; - -#ifdef PARANOID - if ( arg->sign != 0 ) /* Can't hack a number < 0.0 */ - { arith_invalid(result); return; } /* Need a positive number */ -#endif PARANOID - - /* Split the problem into two domains, smaller and larger than pi/4 */ - if ( (exponent == 0) || ((exponent == -1) && (arg->sigh > 0xc90fdaa2)) ) - { - /* The argument is greater than (approx) pi/4 */ - invert = 1; - accum.lsw = 0; - XSIG_LL(accum) = significand(arg); - - if ( exponent == 0 ) - { - /* The argument is >= 1.0 */ - /* Put the binary point at the left. */ - XSIG_LL(accum) <<= 1; - } - /* pi/2 in hex is: 1.921fb54442d18469 898CC51701B839A2 52049C1 */ - XSIG_LL(accum) = 0x921fb54442d18469LL - XSIG_LL(accum); - - argSignif.lsw = accum.lsw; - XSIG_LL(argSignif) = XSIG_LL(accum); - exponent = -1 + norm_Xsig(&argSignif); - } - else - { - invert = 0; - argSignif.lsw = 0; - XSIG_LL(accum) = XSIG_LL(argSignif) = significand(arg); - - if ( exponent < -1 ) - { - /* shift the argument right by the required places */ - if ( shrx(&XSIG_LL(accum), -1-exponent) >= 0x80000000U ) - XSIG_LL(accum) ++; /* round up */ - } - } - - XSIG_LL(argSq) = XSIG_LL(accum); argSq.lsw = accum.lsw; - mul_Xsig_Xsig(&argSq, &argSq); - XSIG_LL(argSqSq) = XSIG_LL(argSq); argSqSq.lsw = argSq.lsw; - mul_Xsig_Xsig(&argSqSq, &argSqSq); - - /* Compute the negative terms for the numerator polynomial */ - accumulatoro.msw = accumulatoro.midw = accumulatoro.lsw = 0; - polynomial_Xsig(&accumulatoro, &XSIG_LL(argSqSq), oddnegterm, HiPOWERon-1); - mul_Xsig_Xsig(&accumulatoro, &argSq); - negate_Xsig(&accumulatoro); - /* Add the positive terms */ - polynomial_Xsig(&accumulatoro, &XSIG_LL(argSqSq), oddplterm, HiPOWERop-1); - - - /* Compute the positive terms for the denominator polynomial */ - accumulatore.msw = accumulatore.midw = accumulatore.lsw = 0; - polynomial_Xsig(&accumulatore, &XSIG_LL(argSqSq), evenplterm, HiPOWERep-1); - mul_Xsig_Xsig(&accumulatore, &argSq); - negate_Xsig(&accumulatore); - /* Add the negative terms */ - polynomial_Xsig(&accumulatore, &XSIG_LL(argSqSq), evennegterm, HiPOWERen-1); - /* Multiply by arg^2 */ - mul64_Xsig(&accumulatore, &XSIG_LL(argSignif)); - mul64_Xsig(&accumulatore, &XSIG_LL(argSignif)); - /* de-normalize and divide by 2 */ - shr_Xsig(&accumulatore, -2*(1+exponent) + 1); - negate_Xsig(&accumulatore); /* This does 1 - accumulator */ - - /* Now find the ratio. */ - if ( accumulatore.msw == 0 ) - { - /* accumulatoro must contain 1.0 here, (actually, 0) but it - really doesn't matter what value we use because it will - have negligible effect in later calculations - */ - XSIG_LL(accum) = 0x8000000000000000LL; - accum.lsw = 0; - } - else - { - div_Xsig(&accumulatoro, &accumulatore, &accum); - } - - /* Multiply by 1/3 * arg^3 */ - mul64_Xsig(&accum, &XSIG_LL(argSignif)); - mul64_Xsig(&accum, &XSIG_LL(argSignif)); - mul64_Xsig(&accum, &XSIG_LL(argSignif)); - mul64_Xsig(&accum, &twothirds); - shr_Xsig(&accum, -2*(exponent+1)); - - /* tan(arg) = arg + accum */ - add_two_Xsig(&accum, &argSignif, &exponent); - - if ( invert ) - { - /* We now have the value of tan(pi_2 - arg) where pi_2 is an - approximation for pi/2 - */ - /* The next step is to fix the answer to compensate for the - error due to the approximation used for pi/2 - */ - - /* This is (approx) delta, the error in our approx for pi/2 - (see above). It has an exponent of -65 - */ - XSIG_LL(fix_up) = 0x898cc51701b839a2LL; - fix_up.lsw = 0; - - if ( exponent == 0 ) - adj = 0xffffffff; /* We want approx 1.0 here, but - this is close enough. */ - else if ( exponent > -30 ) - { - adj = accum.msw >> -(exponent+1); /* tan */ - mul_32_32(adj, adj, &adj); /* tan^2 */ - } - else - adj = 0; - mul_32_32(0x898cc517, adj, &adj); /* delta * tan^2 */ - - fix_up.msw += adj; - if ( !(fix_up.msw & 0x80000000) ) /* did fix_up overflow ? */ - { - /* Yes, we need to add an msb */ - shr_Xsig(&fix_up, 1); - fix_up.msw |= 0x80000000; - shr_Xsig(&fix_up, 64 + exponent); - } - else - shr_Xsig(&fix_up, 65 + exponent); - - add_two_Xsig(&accum, &fix_up, &exponent); - - /* accum now contains tan(pi/2 - arg). - Use tan(arg) = 1.0 / tan(pi/2 - arg) - */ - accumulatoro.lsw = accumulatoro.midw = 0; - accumulatoro.msw = 0x80000000; - div_Xsig(&accumulatoro, &accum, &accum); - exponent = - exponent - 1; - } - - /* Transfer the result */ - round_Xsig(&accum); - *(short *)&(result->sign) = 0; - significand(result) = XSIG_LL(accum); - result->exp = EXP_BIAS + exponent; - -} |