4 // Copyright (c) 2000 - 2003, Intel Corporation
5 // All rights reserved.
7 // Contributed 2000 by the Intel Numerics Group, Intel Corporation
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21 // products derived from this software without specific prior written
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41 //==============================================================
42 // 02/02/00 Initial version
43 // 04/04/00 Improved speed, corrected result for NaN input
44 // 12/22/00 Fixed so inexact flag is never set, and invalid is not set for
45 // qnans nor for inputs larger than 2^63.
46 // 05/20/02 Cleaned up namespace and sf0 syntax
47 // 02/10/03 Reordered header: .section, .global, .proc, .align
50 //==============================================================
51 // double modf(double x, double *iptr)
52 // break a floating point x number into fraction and an exponent
54 // input floating point f8, address in r33
55 // output floating point f8 (x fraction), and *iptr (x integral part)
58 //==============================================================
60 // NO FRACTIONAL PART: HUGE
62 // for double-extended
63 // If the true exponent is greater than or equal 63
64 // 1003e ==> 1003e -ffff = 3f = 63(dec)
66 // If the true exponent is greater than or equal 52
67 // 10033 -ffff = 34 = 52(dec)
69 // If the true exponent is greater than or equal 23
70 // 10016 -ffff = 17 = 23(dec)
72 // we are already an integer (p9 true)
74 // NO INTEGER PART: SMALL
75 // Is f8 exponent less than register bias (that is, is it
76 // less than 1). If it is, get the right sign of
77 // zero and store this in iptr.
79 // CALCULATION: NOT HUGE, NOT SMALL
80 // To get the integer part
81 // Take the floating-point input and truncate
82 // then convert this integer to fp Call it MODF_INTEGER_PART
84 // Subtract MODF_INTEGER_PART from MODF_NORM_F8 to get fraction part
85 // Then put fraction part in f8
86 // put integer part MODF_INTEGER_PART into *iptr
89 //==============================================================
91 // predicate registers used:
95 // -----------------------+-----------------+-------------
96 // SMALL | NORMAL | HUGE
97 // p11 --------------->|<----- p12 ----->| <-------------- p9
98 // p10 --------------------------------->|
99 // p13 --------------------------------------------------->|
102 // floating-point registers used:
104 MODF_FRACTION_PART = f10
105 MODF_INTEGER_PART = f11
106 MODF_INT_INTEGER_PART = f12
109 // general registers used
111 modf_GR_no_frac = r15
119 GLOBAL_LIBM_ENTRY(modf)
121 // Main path is p9, p11, p8 FALSE and p12 TRUE
123 // Assume input is normalized and get signexp
124 // Normalize input just in case
125 // Form exponent bias
127 getf.exp modf_signexp = f8
128 fnorm.s0 MODF_NORM_F8 = f8
129 addl modf_GR_FFFF = 0xffff, r0
131 // Get integer part of input
132 // Form exponent mask
135 fcvt.fx.trunc.s1 MODF_INT_INTEGER_PART = f8
136 mov modf_17_ones = 0x1ffff ;;
140 // qnan snan inf norm unorm 0 -+
141 // 1 1 1 0 0 0 11 = 0xe3 NAN_INF
142 // Form biased exponent where input only has an integer part
145 fclass.m.unc p6,p13 = f8, 0xe3
146 addl modf_GR_no_frac = 0x10033, r0 ;;
149 // Mask to get exponent
151 // qnan snan inf norm unorm 0 -+
152 // 0 0 0 0 1 0 11 = 0x0b UNORM
153 // Set p13 to indicate calculation path, else p6 if nan or inf
155 and modf_exp = modf_17_ones, modf_signexp
156 fclass.m.unc p8,p0 = f8, 0x0b
160 // p11 <== SMALL, no integer part, fraction is everyting
161 // p9 <== HUGE, no fraction part, integer is everything
162 // p12 <== NORMAL, fraction part and integer part
164 (p13) cmp.lt.unc p11,p10 = modf_exp, modf_GR_FFFF
169 // Is x inf? p6 if inf, p7 if nan
171 (p10) cmp.ge.unc p9,p12 = modf_exp, modf_GR_no_frac
172 (p6) fclass.m.unc p6,p7 = f8, 0x23
173 (p8) br.cond.spnt MODF_DENORM ;;
177 // For HUGE set fraction to signed 0
180 (p9) fmerge.s f8 = f8,f0
183 // For HUGE set integer part to normalized input
186 (p9) fnorm.d.s0 MODF_INTEGER_PART = MODF_NORM_F8
190 // For SMALL set fraction to normalized input, integer part to signed 0
193 (p11) fmerge.s MODF_INTEGER_PART = f8,f0
198 (p11) fnorm.d.s0 f8 = MODF_NORM_F8
202 // For NORMAL float the integer part
205 (p12) fcvt.xf MODF_INTEGER_PART = MODF_INT_INTEGER_PART
209 // If x inf set integer part to INF, fraction to signed 0
211 (p6) stfd [r33] = MODF_NORM_F8
212 (p6) fmerge.s f8 = f8,f0
216 // If x nan set integer and fraction parts to NaN (quietized)
218 (p7) stfd [r33] = MODF_NORM_F8
219 (p7) fmerge.s f8 = MODF_NORM_F8, MODF_NORM_F8
224 (p9) stfd [r33] = MODF_INTEGER_PART
229 // For NORMAL compute fraction part
231 (p11) stfd [r33] = MODF_INTEGER_PART
232 (p12) fms.d.s0 f8 = MODF_NORM_F8,f1, MODF_INTEGER_PART
236 // For NORMAL test if fraction part is zero; if so append correct sign
239 (p12) fcmp.eq.unc.s0 p7,p0 = MODF_NORM_F8, MODF_INTEGER_PART
244 (p12) stfd [r33] = MODF_INTEGER_PART
249 // For NORMAL if fraction part is zero append sign of input
252 (p7) fmerge.s f8 = MODF_NORM_F8, f0
257 // If x unorm get signexp from normalized input
258 // If x unorm get integer part from normalized input
260 getf.exp modf_signexp = MODF_NORM_F8
261 fcvt.fx.trunc.s1 MODF_INT_INTEGER_PART = MODF_NORM_F8
265 // If x unorm mask to get exponent
267 and modf_exp = modf_17_ones, modf_signexp ;;
268 cmp.lt.unc p11,p10 = modf_exp, modf_GR_FFFF
273 (p10) cmp.ge.unc p9,p12 = modf_exp, modf_GR_no_frac
275 br.cond.spnt MODF_COMMON ;;
278 GLOBAL_LIBM_END(modf)