Archipelago » qemu

/*

 *  Alpha emulation cpu micro-operations helpers for qemu.

 *

 *  Copyright (c) 2007 Jocelyn Mayer

 *

 * This library is free software; you can redistribute it and/or

 * modify it under the terms of the GNU Lesser General Public

 * License as published by the Free Software Foundation; either

 * version 2 of the License, or (at your option) any later version.

 *

 * This library is distributed in the hope that it will be useful,

 * but WITHOUT ANY WARRANTY; without even the implied warranty of

 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU

 * Lesser General Public License for more details.

 *

 * You should have received a copy of the GNU Lesser General Public

 * License along with this library; if not, see <http://www.gnu.org/licenses/>.

 */

#include "exec.h"

#include "host-utils.h"

#include "softfloat.h"

#include "helper.h"

#include "qemu-timer.h"

/*****************************************************************************/

/* Exceptions processing helpers */

/* This should only be called from translate, via gen_excp.

   We expect that ENV->PC has already been updated.  */

void QEMU_NORETURN helper_excp(int excp, int error)

{

    env->exception_index = excp;

    env->error_code = error;

    cpu_loop_exit();

}

static void do_restore_state(void *retaddr)

{

    unsigned long pc = (unsigned long)retaddr;

    if (pc) {

        TranslationBlock *tb = tb_find_pc(pc);

        if (tb) {

            cpu_restore_state(tb, env, pc);

        }

    }

}

/* This may be called from any of the helpers to set up EXCEPTION_INDEX.  */

static void QEMU_NORETURN dynamic_excp(int excp, int error)

{

    env->exception_index = excp;

    env->error_code = error;

    do_restore_state(GETPC());

    cpu_loop_exit();

}

static void QEMU_NORETURN arith_excp(int exc, uint64_t mask)

{

    env->trap_arg0 = exc;

    env->trap_arg1 = mask;

    dynamic_excp(EXCP_ARITH, 0);

}

uint64_t helper_load_pcc (void)

{

    /* ??? This isn't a timer for which we have any rate info.  */

    return (uint32_t)cpu_get_real_ticks();

}

uint64_t helper_load_fpcr (void)

{

    return cpu_alpha_load_fpcr (env);

}

void helper_store_fpcr (uint64_t val)

{

    cpu_alpha_store_fpcr (env, val);

}

uint64_t helper_addqv (uint64_t op1, uint64_t op2)

{

    uint64_t tmp = op1;

    op1 += op2;

    if (unlikely((tmp ^ op2 ^ (-1ULL)) & (tmp ^ op1) & (1ULL << 63))) {

        arith_excp(EXC_M_IOV, 0);

    }

    return op1;

}

uint64_t helper_addlv (uint64_t op1, uint64_t op2)

{

    uint64_t tmp = op1;

    op1 = (uint32_t)(op1 + op2);

    if (unlikely((tmp ^ op2 ^ (-1UL)) & (tmp ^ op1) & (1UL << 31))) {

        arith_excp(EXC_M_IOV, 0);

    }

    return op1;

}

uint64_t helper_subqv (uint64_t op1, uint64_t op2)

{

    uint64_t res;

    res = op1 - op2;

    if (unlikely((op1 ^ op2) & (res ^ op1) & (1ULL << 63))) {

        arith_excp(EXC_M_IOV, 0);

    }

    return res;

}

uint64_t helper_sublv (uint64_t op1, uint64_t op2)

{

    uint32_t res;

    res = op1 - op2;

    if (unlikely((op1 ^ op2) & (res ^ op1) & (1UL << 31))) {

        arith_excp(EXC_M_IOV, 0);

    }

    return res;

}

uint64_t helper_mullv (uint64_t op1, uint64_t op2)

{

    int64_t res = (int64_t)op1 * (int64_t)op2;

    if (unlikely((int32_t)res != res)) {

        arith_excp(EXC_M_IOV, 0);

    }

    return (int64_t)((int32_t)res);

}

uint64_t helper_mulqv (uint64_t op1, uint64_t op2)

{

    uint64_t tl, th;

    muls64(&tl, &th, op1, op2);

    /* If th != 0 && th != -1, then we had an overflow */

    if (unlikely((th + 1) > 1)) {

        arith_excp(EXC_M_IOV, 0);

    }

    return tl;

}

uint64_t helper_umulh (uint64_t op1, uint64_t op2)

{

    uint64_t tl, th;

    mulu64(&tl, &th, op1, op2);

    return th;

}

uint64_t helper_ctpop (uint64_t arg)

{

    return ctpop64(arg);

}

uint64_t helper_ctlz (uint64_t arg)

{

    return clz64(arg);

}

uint64_t helper_cttz (uint64_t arg)

{

    return ctz64(arg);

}

static inline uint64_t byte_zap(uint64_t op, uint8_t mskb)

{

    uint64_t mask;

    mask = 0;

    mask |= ((mskb >> 0) & 1) * 0x00000000000000FFULL;

    mask |= ((mskb >> 1) & 1) * 0x000000000000FF00ULL;

    mask |= ((mskb >> 2) & 1) * 0x0000000000FF0000ULL;

    mask |= ((mskb >> 3) & 1) * 0x00000000FF000000ULL;

    mask |= ((mskb >> 4) & 1) * 0x000000FF00000000ULL;

    mask |= ((mskb >> 5) & 1) * 0x0000FF0000000000ULL;

    mask |= ((mskb >> 6) & 1) * 0x00FF000000000000ULL;

    mask |= ((mskb >> 7) & 1) * 0xFF00000000000000ULL;

    return op & ~mask;

}

uint64_t helper_zap(uint64_t val, uint64_t mask)

{

    return byte_zap(val, mask);

}

uint64_t helper_zapnot(uint64_t val, uint64_t mask)

{

    return byte_zap(val, ~mask);

}

uint64_t helper_cmpbge (uint64_t op1, uint64_t op2)

{

    uint8_t opa, opb, res;

    int i;

    res = 0;

    for (i = 0; i < 8; i++) {

        opa = op1 >> (i * 8);

        opb = op2 >> (i * 8);

        if (opa >= opb)

            res |= 1 << i;

    }

    return res;

}

uint64_t helper_minub8 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    uint8_t opa, opb, opr;

    int i;

    for (i = 0; i < 8; ++i) {

        opa = op1 >> (i * 8);

        opb = op2 >> (i * 8);

        opr = opa < opb ? opa : opb;

        res |= (uint64_t)opr << (i * 8);

    }

    return res;

}

uint64_t helper_minsb8 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    int8_t opa, opb;

    uint8_t opr;

    int i;

    for (i = 0; i < 8; ++i) {

        opa = op1 >> (i * 8);

        opb = op2 >> (i * 8);

        opr = opa < opb ? opa : opb;

        res |= (uint64_t)opr << (i * 8);

    }

    return res;

}

uint64_t helper_minuw4 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    uint16_t opa, opb, opr;

    int i;

    for (i = 0; i < 4; ++i) {

        opa = op1 >> (i * 16);

        opb = op2 >> (i * 16);

        opr = opa < opb ? opa : opb;

        res |= (uint64_t)opr << (i * 16);

    }

    return res;

}

uint64_t helper_minsw4 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    int16_t opa, opb;

    uint16_t opr;

    int i;

    for (i = 0; i < 4; ++i) {

        opa = op1 >> (i * 16);

        opb = op2 >> (i * 16);

        opr = opa < opb ? opa : opb;

        res |= (uint64_t)opr << (i * 16);

    }

    return res;

}

uint64_t helper_maxub8 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    uint8_t opa, opb, opr;

    int i;

    for (i = 0; i < 8; ++i) {

        opa = op1 >> (i * 8);

        opb = op2 >> (i * 8);

        opr = opa > opb ? opa : opb;

        res |= (uint64_t)opr << (i * 8);

    }

    return res;

}

uint64_t helper_maxsb8 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    int8_t opa, opb;

    uint8_t opr;

    int i;

    for (i = 0; i < 8; ++i) {

        opa = op1 >> (i * 8);

        opb = op2 >> (i * 8);

        opr = opa > opb ? opa : opb;

        res |= (uint64_t)opr << (i * 8);

    }

    return res;

}

uint64_t helper_maxuw4 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    uint16_t opa, opb, opr;

    int i;

    for (i = 0; i < 4; ++i) {

        opa = op1 >> (i * 16);

        opb = op2 >> (i * 16);

        opr = opa > opb ? opa : opb;

        res |= (uint64_t)opr << (i * 16);

    }

    return res;

}

uint64_t helper_maxsw4 (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    int16_t opa, opb;

    uint16_t opr;

    int i;

    for (i = 0; i < 4; ++i) {

        opa = op1 >> (i * 16);

        opb = op2 >> (i * 16);

        opr = opa > opb ? opa : opb;

        res |= (uint64_t)opr << (i * 16);

    }

    return res;

}

uint64_t helper_perr (uint64_t op1, uint64_t op2)

{

    uint64_t res = 0;

    uint8_t opa, opb, opr;

    int i;

    for (i = 0; i < 8; ++i) {

        opa = op1 >> (i * 8);

        opb = op2 >> (i * 8);

        if (opa >= opb)

            opr = opa - opb;

        else

            opr = opb - opa;

        res += opr;

    }

    return res;

}

uint64_t helper_pklb (uint64_t op1)

{

    return (op1 & 0xff) | ((op1 >> 24) & 0xff00);

}

uint64_t helper_pkwb (uint64_t op1)

{

    return ((op1 & 0xff)

            | ((op1 >> 8) & 0xff00)

            | ((op1 >> 16) & 0xff0000)

            | ((op1 >> 24) & 0xff000000));

}

uint64_t helper_unpkbl (uint64_t op1)

{

    return (op1 & 0xff) | ((op1 & 0xff00) << 24);

}

uint64_t helper_unpkbw (uint64_t op1)

{

    return ((op1 & 0xff)

            | ((op1 & 0xff00) << 8)

            | ((op1 & 0xff0000) << 16)

            | ((op1 & 0xff000000) << 24));

}

/* Floating point helpers */

void helper_setroundmode (uint32_t val)

{

    set_float_rounding_mode(val, &FP_STATUS);

}

void helper_setflushzero (uint32_t val)

{

    set_flush_to_zero(val, &FP_STATUS);

}

void helper_fp_exc_clear (void)

{

    set_float_exception_flags(0, &FP_STATUS);

}

uint32_t helper_fp_exc_get (void)

{

    return get_float_exception_flags(&FP_STATUS);

}

/* Raise exceptions for ieee fp insns without software completion.

   In that case there are no exceptions that don't trap; the mask

   doesn't apply.  */

void helper_fp_exc_raise(uint32_t exc, uint32_t regno)

{

    if (exc) {

        uint32_t hw_exc = 0;

        if (exc & float_flag_invalid) {

            hw_exc |= EXC_M_INV;

        }

        if (exc & float_flag_divbyzero) {

            hw_exc |= EXC_M_DZE;

        }

        if (exc & float_flag_overflow) {

            hw_exc |= EXC_M_FOV;

        }

        if (exc & float_flag_underflow) {

            hw_exc |= EXC_M_UNF;

        }

        if (exc & float_flag_inexact) {

            hw_exc |= EXC_M_INE;

        }

        arith_excp(hw_exc, 1ull << regno);

    }

}

/* Raise exceptions for ieee fp insns with software completion.  */

void helper_fp_exc_raise_s(uint32_t exc, uint32_t regno)

{

    if (exc) {

        env->fpcr_exc_status |= exc;

        exc &= ~env->fpcr_exc_mask;

        if (exc) {

            helper_fp_exc_raise(exc, regno);

        }

    }

}

/* Input remapping without software completion.  Handle denormal-map-to-zero

   and trap for all other non-finite numbers.  */

uint64_t helper_ieee_input(uint64_t val)

{

    uint32_t exp = (uint32_t)(val >> 52) & 0x7ff;

    uint64_t frac = val & 0xfffffffffffffull;

    if (exp == 0) {

        if (frac != 0) {

            /* If DNZ is set flush denormals to zero on input.  */

            if (env->fpcr_dnz) {

                val &= 1ull << 63;

            } else {

                arith_excp(EXC_M_UNF, 0);

            }

        }

    } else if (exp == 0x7ff) {

        /* Infinity or NaN.  */

        /* ??? I'm not sure these exception bit flags are correct.  I do

           know that the Linux kernel, at least, doesn't rely on them and

           just emulates the insn to figure out what exception to use.  */

        arith_excp(frac ? EXC_M_INV : EXC_M_FOV, 0);

    }

    return val;

}

/* Similar, but does not trap for infinities.  Used for comparisons.  */

uint64_t helper_ieee_input_cmp(uint64_t val)

{

    uint32_t exp = (uint32_t)(val >> 52) & 0x7ff;

    uint64_t frac = val & 0xfffffffffffffull;

    if (exp == 0) {

        if (frac != 0) {

            /* If DNZ is set flush denormals to zero on input.  */

            if (env->fpcr_dnz) {

                val &= 1ull << 63;

            } else {

                arith_excp(EXC_M_UNF, 0);

            }

        }

    } else if (exp == 0x7ff && frac) {

        /* NaN.  */

        arith_excp(EXC_M_INV, 0);

    }

    return val;

}

/* Input remapping with software completion enabled.  All we have to do

   is handle denormal-map-to-zero; all other inputs get exceptions as

   needed from the actual operation.  */

uint64_t helper_ieee_input_s(uint64_t val)

{

    if (env->fpcr_dnz) {

        uint32_t exp = (uint32_t)(val >> 52) & 0x7ff;

        if (exp == 0) {

            val &= 1ull << 63;

        }

    }

    return val;

}

/* F floating (VAX) */

static inline uint64_t float32_to_f(float32 fa)

{

    uint64_t r, exp, mant, sig;

    CPU_FloatU a;

    a.f = fa;

    sig = ((uint64_t)a.l & 0x80000000) << 32;

    exp = (a.l >> 23) & 0xff;

    mant = ((uint64_t)a.l & 0x007fffff) << 29;

    if (exp == 255) {

        /* NaN or infinity */

        r = 1; /* VAX dirty zero */

    } else if (exp == 0) {

        if (mant == 0) {

            /* Zero */

            r = 0;

        } else {

            /* Denormalized */

            r = sig | ((exp + 1) << 52) | mant;

        }

    } else {

        if (exp >= 253) {

            /* Overflow */

            r = 1; /* VAX dirty zero */

        } else {

            r = sig | ((exp + 2) << 52);

        }

    }

    return r;

}

static inline float32 f_to_float32(uint64_t a)

{

    uint32_t exp, mant_sig;

    CPU_FloatU r;

    exp = ((a >> 55) & 0x80) | ((a >> 52) & 0x7f);

    mant_sig = ((a >> 32) & 0x80000000) | ((a >> 29) & 0x007fffff);

    if (unlikely(!exp && mant_sig)) {

        /* Reserved operands / Dirty zero */

        dynamic_excp(EXCP_OPCDEC, 0);

    }

    if (exp < 3) {

        /* Underflow */

        r.l = 0;

    } else {

        r.l = ((exp - 2) << 23) | mant_sig;

    }

    return r.f;

}

uint32_t helper_f_to_memory (uint64_t a)

{

    uint32_t r;

    r =  (a & 0x00001fffe0000000ull) >> 13;

    r |= (a & 0x07ffe00000000000ull) >> 45;

    r |= (a & 0xc000000000000000ull) >> 48;

    return r;

}

uint64_t helper_memory_to_f (uint32_t a)

{

    uint64_t r;

    r =  ((uint64_t)(a & 0x0000c000)) << 48;

    r |= ((uint64_t)(a & 0x003fffff)) << 45;

    r |= ((uint64_t)(a & 0xffff0000)) << 13;

    if (!(a & 0x00004000))

        r |= 0x7ll << 59;

    return r;

}

/* ??? Emulating VAX arithmetic with IEEE arithmetic is wrong.  We should

   either implement VAX arithmetic properly or just signal invalid opcode.  */

uint64_t helper_addf (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = f_to_float32(a);

    fb = f_to_float32(b);

    fr = float32_add(fa, fb, &FP_STATUS);

    return float32_to_f(fr);

}

uint64_t helper_subf (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = f_to_float32(a);

    fb = f_to_float32(b);

    fr = float32_sub(fa, fb, &FP_STATUS);

    return float32_to_f(fr);

}

uint64_t helper_mulf (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = f_to_float32(a);

    fb = f_to_float32(b);

    fr = float32_mul(fa, fb, &FP_STATUS);

    return float32_to_f(fr);

}

uint64_t helper_divf (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = f_to_float32(a);

    fb = f_to_float32(b);

    fr = float32_div(fa, fb, &FP_STATUS);

    return float32_to_f(fr);

}

uint64_t helper_sqrtf (uint64_t t)

{

    float32 ft, fr;

    ft = f_to_float32(t);

    fr = float32_sqrt(ft, &FP_STATUS);

    return float32_to_f(fr);

}

/* G floating (VAX) */

static inline uint64_t float64_to_g(float64 fa)

{

    uint64_t r, exp, mant, sig;

    CPU_DoubleU a;

    a.d = fa;

    sig = a.ll & 0x8000000000000000ull;

    exp = (a.ll >> 52) & 0x7ff;

    mant = a.ll & 0x000fffffffffffffull;

    if (exp == 2047) {

        /* NaN or infinity */

        r = 1; /* VAX dirty zero */

    } else if (exp == 0) {

        if (mant == 0) {

            /* Zero */

            r = 0;

        } else {

            /* Denormalized */

            r = sig | ((exp + 1) << 52) | mant;

        }

    } else {

        if (exp >= 2045) {

            /* Overflow */

            r = 1; /* VAX dirty zero */

        } else {

            r = sig | ((exp + 2) << 52);

        }

    }

    return r;

}

static inline float64 g_to_float64(uint64_t a)

{

    uint64_t exp, mant_sig;

    CPU_DoubleU r;

    exp = (a >> 52) & 0x7ff;

    mant_sig = a & 0x800fffffffffffffull;

    if (!exp && mant_sig) {

        /* Reserved operands / Dirty zero */

        dynamic_excp(EXCP_OPCDEC, 0);

    }

    if (exp < 3) {

        /* Underflow */

        r.ll = 0;

    } else {

        r.ll = ((exp - 2) << 52) | mant_sig;

    }

    return r.d;

}

uint64_t helper_g_to_memory (uint64_t a)

{

    uint64_t r;

    r =  (a & 0x000000000000ffffull) << 48;

    r |= (a & 0x00000000ffff0000ull) << 16;

    r |= (a & 0x0000ffff00000000ull) >> 16;

    r |= (a & 0xffff000000000000ull) >> 48;

    return r;

}

uint64_t helper_memory_to_g (uint64_t a)

{

    uint64_t r;

    r =  (a & 0x000000000000ffffull) << 48;

    r |= (a & 0x00000000ffff0000ull) << 16;

    r |= (a & 0x0000ffff00000000ull) >> 16;

    r |= (a & 0xffff000000000000ull) >> 48;

    return r;

}

uint64_t helper_addg (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = g_to_float64(a);

    fb = g_to_float64(b);

    fr = float64_add(fa, fb, &FP_STATUS);

    return float64_to_g(fr);

}

uint64_t helper_subg (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = g_to_float64(a);

    fb = g_to_float64(b);

    fr = float64_sub(fa, fb, &FP_STATUS);

    return float64_to_g(fr);

}

uint64_t helper_mulg (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = g_to_float64(a);

    fb = g_to_float64(b);

    fr = float64_mul(fa, fb, &FP_STATUS);

    return float64_to_g(fr);

}

uint64_t helper_divg (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = g_to_float64(a);

    fb = g_to_float64(b);

    fr = float64_div(fa, fb, &FP_STATUS);

    return float64_to_g(fr);

}

uint64_t helper_sqrtg (uint64_t a)

{

    float64 fa, fr;

    fa = g_to_float64(a);

    fr = float64_sqrt(fa, &FP_STATUS);

    return float64_to_g(fr);

}

/* S floating (single) */

/* Taken from linux/arch/alpha/kernel/traps.c, s_mem_to_reg.  */

static inline uint64_t float32_to_s_int(uint32_t fi)

{

    uint32_t frac = fi & 0x7fffff;

    uint32_t sign = fi >> 31;

    uint32_t exp_msb = (fi >> 30) & 1;

    uint32_t exp_low = (fi >> 23) & 0x7f;

    uint32_t exp;

    exp = (exp_msb << 10) | exp_low;

    if (exp_msb) {

        if (exp_low == 0x7f)

            exp = 0x7ff;

    } else {

        if (exp_low != 0x00)

            exp |= 0x380;

    }

    return (((uint64_t)sign << 63)

            | ((uint64_t)exp << 52)

            | ((uint64_t)frac << 29));

}

static inline uint64_t float32_to_s(float32 fa)

{

    CPU_FloatU a;

    a.f = fa;

    return float32_to_s_int(a.l);

}

static inline uint32_t s_to_float32_int(uint64_t a)

{

    return ((a >> 32) & 0xc0000000) | ((a >> 29) & 0x3fffffff);

}

static inline float32 s_to_float32(uint64_t a)

{

    CPU_FloatU r;

    r.l = s_to_float32_int(a);

    return r.f;

}

uint32_t helper_s_to_memory (uint64_t a)

{

    return s_to_float32_int(a);

}

uint64_t helper_memory_to_s (uint32_t a)

{

    return float32_to_s_int(a);

}

uint64_t helper_adds (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = s_to_float32(a);

    fb = s_to_float32(b);

    fr = float32_add(fa, fb, &FP_STATUS);

    return float32_to_s(fr);

}

uint64_t helper_subs (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = s_to_float32(a);

    fb = s_to_float32(b);

    fr = float32_sub(fa, fb, &FP_STATUS);

    return float32_to_s(fr);

}

uint64_t helper_muls (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = s_to_float32(a);

    fb = s_to_float32(b);

    fr = float32_mul(fa, fb, &FP_STATUS);

    return float32_to_s(fr);

}

uint64_t helper_divs (uint64_t a, uint64_t b)

{

    float32 fa, fb, fr;

    fa = s_to_float32(a);

    fb = s_to_float32(b);

    fr = float32_div(fa, fb, &FP_STATUS);

    return float32_to_s(fr);

}

uint64_t helper_sqrts (uint64_t a)

{

    float32 fa, fr;

    fa = s_to_float32(a);

    fr = float32_sqrt(fa, &FP_STATUS);

    return float32_to_s(fr);

}

/* T floating (double) */

static inline float64 t_to_float64(uint64_t a)

{

    /* Memory format is the same as float64 */

    CPU_DoubleU r;

    r.ll = a;

    return r.d;

}

static inline uint64_t float64_to_t(float64 fa)

{

    /* Memory format is the same as float64 */

    CPU_DoubleU r;

    r.d = fa;

    return r.ll;

}

uint64_t helper_addt (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = t_to_float64(a);

    fb = t_to_float64(b);

    fr = float64_add(fa, fb, &FP_STATUS);

    return float64_to_t(fr);

}

uint64_t helper_subt (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = t_to_float64(a);

    fb = t_to_float64(b);

    fr = float64_sub(fa, fb, &FP_STATUS);

    return float64_to_t(fr);

}

uint64_t helper_mult (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = t_to_float64(a);

    fb = t_to_float64(b);

    fr = float64_mul(fa, fb, &FP_STATUS);

    return float64_to_t(fr);

}

uint64_t helper_divt (uint64_t a, uint64_t b)

{

    float64 fa, fb, fr;

    fa = t_to_float64(a);

    fb = t_to_float64(b);

    fr = float64_div(fa, fb, &FP_STATUS);

    return float64_to_t(fr);

}

uint64_t helper_sqrtt (uint64_t a)

{

    float64 fa, fr;

    fa = t_to_float64(a);

    fr = float64_sqrt(fa, &FP_STATUS);