.file "trunc.s"


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// Contributed 2000 by the Intel Numerics Group, Intel Corporation
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//
// History
//==============================================================
// 07/07/00 Created
// 05/20/02 Cleaned up namespace and sf0 syntax
// 01/20/03 Improved performance and reduced code size
//==============================================================

// API
//==============================================================
// double trunc(double x)
//==============================================================

// general input registers:
// r14 - r18

rExpBias   = r14
rSignexp   = r15
rExp       = r16
rExpMask   = r17
rBigexp    = r18

// floating-point registers:
// f8 - f10

fXtruncInt = f9
fNormX     = f10

// predicate registers used:
// p6, p7

// Overview of operation
//==============================================================
// double trunc(double x)
// Return an integer value (represented as a double) less than or
// equal to x in magnitude.
// This is x rounded toward zero to an integral value.
//==============================================================

// double_extended
// if the exponent is > 1003e => 3F(true) = 63(decimal)
// we have a significand of 64 bits 1.63-bits.
// If we multiply by 2^63, we no longer have a fractional part
// So input is an integer value already.

// double
// if the exponent is >= 10033 => 34(true) = 52(decimal)
// 34 + 3ff = 433
// we have a significand of 53 bits 1.52-bits. (implicit 1)
// If we multiply by 2^52, we no longer have a fractional part
// So input is an integer value already.

// single
// if the exponent is > 10016 => 17(true) = 23(decimal)
// we have a significand of 24 bits 1.23-bits. (implicit 1)
// If we multiply by 2^23, we no longer have a fractional part
// So input is an integer value already.

.section .text
GLOBAL_LIBM_ENTRY(trunc)

{ .mfi
      getf.exp         rSignexp  = f8        // Get signexp, recompute if unorm
      fcvt.fx.trunc.s1 fXtruncInt  = f8      // Convert to int in significand
      addl             rBigexp = 0x10033, r0 // Set exponent at which is integer
}
{ .mfi
      mov              rExpBias    = 0x0FFFF // Form exponent bias
      fnorm.s1         fNormX  = f8          // Normalize input
      mov              rExpMask    = 0x1FFFF // Form exponent mask
}
;;

{ .mfi
      nop.m            0
      fclass.m         p7,p0 = f8, 0x0b      // Test x unorm
      nop.i            0
}
;;

{ .mfb
      nop.m            0
      fclass.m         p6,p0 = f8, 0x1e3     // Test x natval, nan, inf
(p7)  br.cond.spnt     TRUNC_UNORM           // Branch if x unorm
}
;;

TRUNC_COMMON:
// Return here from TRUNC_UNORM
{ .mfb
      and              rExp = rSignexp, rExpMask // Get biased exponent
(p6)  fma.d.s0         f8 = f8, f1, f0       // Result if x natval, nan, inf
(p6)  br.ret.spnt      b0                    // Exit if x natval, nan, inf
}
;;

{ .mfi
      cmp.lt           p6,p0 = rExp, rExpBias // Is |x| < 1?
      fcvt.xf          f8 = fXtruncInt        // Result, assume 1 <= |x| < 2^52
      cmp.ge           p7,p0 = rExp, rBigexp  // Is |x| >= 2^52?
}
;;

// We must correct result if |x| < 1, or |x| >= 2^52
.pred.rel "mutex",p6,p7
{ .mfi
      nop.m            0
(p6)  fmerge.s         f8 = fNormX, f0        // If |x| < 1, result sgn(x)*0
      nop.i            0
}
{ .mfb
      nop.m            0
(p7)  fma.d.s0         f8 = fNormX, f1, f0    // If |x| >= 2^52, result x
      br.ret.sptk      b0                     // Exit main path
}
;;


TRUNC_UNORM:
// Here if x unorm
{ .mfb
      getf.exp         rSignexp  = fNormX     // Get signexp, recompute if unorm
      fcmp.eq.s0       p7,p0 = f8, f0         // Dummy op to set denormal flag
      br.cond.sptk     TRUNC_COMMON           // Return to main path
}
;;

GLOBAL_LIBM_END(trunc)