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authorRoland McGrath <roland@gnu.org>2006-02-25 01:29:59 +0000
committerRoland McGrath <roland@gnu.org>2006-02-25 01:29:59 +0000
commitfe0b1e854ad32a69b26041031c3382b9eb772bb5 (patch)
tree85bf81081191070920c32671fa2d47f3242ce1e9 /soft-fp/op-common.h
parent03e81bcee66fe606d4f2b4b363b0fff47a29b247 (diff)
* sysdeps/unix/sysv/linux/sparc/sparc64/dl-procinfo.c: Moved to ...
* sysdeps/sparc/dl-procinfo.c: ... here, new file. * sysdeps/unix/sysv/linux/sparc/sparc64/dl-procinfo.h: Moved to ... * sysdeps/sparc/dl-procinfo.h: ... here, new file. (HWCAP_IMPORTANT): Include HWCAP_SPARC_V9 when [__WORDSIZE__ != 64]. * sysdeps/unix/sysv/linux/sparc/sparc32/dl-procinfo.c: File removed. * sysdeps/unix/sysv/linux/sparc/sparc32/dl-procinfo.h: File removed. 2006-02-18 Joseph S. Myers <joseph@codesourcery.com> * soft-fp/single.h (SFtype): Define. (union _FP_UNION_S): Use it. * soft-fp/double.h (DFtype): Define. (union _FP_UNION_D): Use it. * soft-fp/extended.h (XFtype): Define. (union _FP_UNION_E): Use it. * soft-fp/quad.h (TFtype): Define. (union _FP_UNION_Q): Use it. * soft-fp/soft-fp.h: Add _LIBC conditionals. (SI_BITS, DI_BITS): Define. * soft-fp/op-common.h (_FP_DECL): Add __attribute__((unused)) for X##_c. (_FP_CMP_EQ): Use parentheses for && inside ||. (_FP_TO_INT): Use statement expressions in conditional controlling constant shift. (_FP_FROM_INT): Likewise. Take unsigned type as argument. * soft-fp/op-2.h (_FP_FRAC_SLL_2, _FP_FRAC_SRL_2, _FP_FRAC_SRST_2, _FP_FRAC_SRS_2, _FP_FRAC_ASSEMBLE_2): Use statement expressions in conditional controlling possibly constant shift. (_FP_FRAC_SRST_2, _FP_FRAC_SRS_2): Avoid left shift by exactly _FP_W_TYPE_SIZE. (_FP_FRAC_GT_2, _FP_FRAC_GE_2): Use parentheses for && inside ||. * soft-fp/op-4.h (_FP_FRAC_SRST_4): Avoid left shift by exactly _FP_W_TYPE_SIZE. (__FP_FRAC_ADD_3, __FP_FRAC_ADD_4, __FP_FRAC_SUB_3, __FP_FRAC_SUB_4): Use _FP_W_TYPE for carry flags. * soft-fp/op-8.h (_FP_FRAC_SRS_8): Avoid left shift by exactly _FP_W_TYPE_SIZE. * soft-fp/floatdidf.c: Pass unsigned type and macro for type size. * soft-fp/floatdisf.c: Likewise. * soft-fp/floatditf.c: Likewise. * soft-fp/floatsidf.c: Likewise. * soft-fp/floatsisf.c: Likewise. * soft-fp/floatsitf.c: Likewise. * soft-fp/floatundidf.c: Likewise. * soft-fp/floatundisf.c: Likewise. * soft-fp/floatunditf.c: Likewise. * soft-fp/floatunsidf.c: Likewise. * soft-fp/floatunsisf.c: Likewise. * soft-fp/floatunsitf.c: Likewise. * soft-fp/fixdfdi.c: Pass macro for type size. * soft-fp/fixdfsi.c: Likewise. * soft-fp/fixsfdi.c: Likewise. * soft-fp/fixsfsi.c: Likewise. * soft-fp/fixtfdi.c: Likewise. * soft-fp/fixtfsi.c: Likewise. * soft-fp/fixunsdfdi.c: Likewise. * soft-fp/fixunsdfsi.c: Likewise. * soft-fp/fixunssfdi.c: Likewise. * soft-fp/fixunssfsi.c: Likewise. * soft-fp/fixunstfdi.c: Likewise. * soft-fp/fixunstfsi.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvtqux.c: Pass unsigned type. * sysdeps/alpha/soft-fp/ots_cvtqx.c: Likewise. * sysdeps/powerpc/soft-fp/q_itoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_lltoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_ulltoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_utoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_itoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_lltoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_ulltoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_utoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_itoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_uitoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_uxtoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_xtoq.c: Likewise. * soft-fp/adddf3.c: Use typedefs for argument and return types. * soft-fp/addsf3.c: Likewise. * soft-fp/addtf3.c: Likewise. * soft-fp/divdf3.c: Likewise. * soft-fp/divsf3.c: Likewise. * soft-fp/divtf3.c: Likewise. * soft-fp/eqdf2.c: Likewise. * soft-fp/eqsf2.c: Likewise. * soft-fp/eqtf2.c: Likewise. * soft-fp/extenddftf2.c: Likewise. * soft-fp/extendsfdf2.c: Likewise. * soft-fp/extendsftf2.c: Likewise. * soft-fp/fixdfdi.c: Likewise. * soft-fp/fixdfsi.c: Likewise. * soft-fp/fixsfdi.c: Likewise. * soft-fp/fixsfsi.c: Likewise. * soft-fp/fixtfdi.c: Likewise. * soft-fp/fixtfsi.c: Likewise. * soft-fp/fixunsdfdi.c: Likewise. * soft-fp/fixunsdfsi.c: Likewise. * soft-fp/fixunssfdi.c: Likewise. * soft-fp/fixunssfsi.c: Likewise. * soft-fp/fixunstfdi.c: Likewise. * soft-fp/fixunstfsi.c: Likewise. * soft-fp/floatdidf.c: Likewise. * soft-fp/floatdisf.c: Likewise. * soft-fp/floatditf.c: Likewise. * soft-fp/floatsidf.c: Likewise. * soft-fp/floatsisf.c: Likewise. * soft-fp/floatsitf.c: Likewise. * soft-fp/floatundidf.c: Likewise. * soft-fp/floatundisf.c: Likewise. * soft-fp/floatunditf.c: Likewise. * soft-fp/floatunsidf.c: Likewise. * soft-fp/floatunsisf.c: Likewise. * soft-fp/floatunsitf.c: Likewise. * soft-fp/gedf2.c: Likewise. * soft-fp/gesf2.c: Likewise. * soft-fp/getf2.c: Likewise. * soft-fp/ledf2.c: Likewise. * soft-fp/lesf2.c: Likewise. * soft-fp/letf2.c: Likewise. * soft-fp/muldf3.c: Likewise. * soft-fp/mulsf3.c: Likewise. * soft-fp/multf3.c: Likewise. * soft-fp/negdf2.c: Likewise. * soft-fp/negsf2.c: Likewise. * soft-fp/negtf2.c: Likewise. * soft-fp/sqrtdf2.c: Likewise. * soft-fp/sqrtsf2.c: Likewise. * soft-fp/sqrttf2.c: Likewise. * soft-fp/subdf3.c: Likewise. * soft-fp/subsf3.c: Likewise. * soft-fp/subtf3.c: Likewise. * soft-fp/truncdfsf2.c: Likewise. * soft-fp/trunctfdf2.c: Likewise. * soft-fp/trunctfsf2.c: Likewise. * soft-fp/unorddf2.c: Likewise. * soft-fp/unordsf2.c: Likewise. * soft-fp/unordtf2.c: Likewise. 2006-02-09 Joseph S. Myers <joseph@codesourcery.com> * soft-fp/op-common.h (_FP_UNPACK_SEMIRAW): Define. (_FP_OVERFLOW_SEMIRAW): Likewise. (_FP_CHECK_SIGNAN_SEMIRAW): Likewise. (_FP_CHOOSENAN_SEMIRAW): Likewise. (_FP_EXP_NORMAL): Likewise. (_FP_PACK_SEMIRAW): Likewise. (_FP_ADD_INTERNAL): Rewrite to operate on semi-raw value. (_FP_SUB): Likewise. (_FP_TO_INT): Rewrite to operate on raw values. Don't set INVALID exception for conversions where most negative representable integer is correct truncated value, but do set INEXACT for such conversions where appropriate. Don't always left-shift for converting to a wider integer. (_FP_FROM_INT): Rewrite to yield raw value. Correct shift for integers with one more bits than (mantissa + guard) bits for the floating point format. Don't use __FP_FRAC_SRS_1 for shifting integers that may be wider than _FP_W_TYPE_SIZE. (FP_CONV): Don't define. (FP_EXTEND): Define. (FP_TRUNC): Likewise. * soft-fp/op-1.h (_FP_FRAC_SRST_1, __FP_FRAC_SRST_1): Define. (_FP_FRAC_CONV_1_1): Don't define. (_FP_FRAC_COPY_1_1): Define. * soft-fp/op-2.h (_FP_FRAC_SRST_2): Define. (_FP_FRAC_CONV_1_2, _FP_FRAC_CONV_2_1): Don't define. (_FP_FRAC_COPY_1_2, _FP_FRAC_COPY_2_1): Define. * soft-fp/op-4.h (_FP_FRAC_SRST_4): Define. (_FP_FRAC_SRS_4): Define based on _FP_FRAC_SRST_4. (_FP_FRAC_CONV_1_4, _FP_FRAC_CONV_2_4): Don't define. (_FP_FRAC_COPY_1_4, _FP_FRAC_COPY_2_4): Define. (_FP_FRAC_CONV_4_1, _FP_FRAC_CONV_4_2): Don't define. (_FP_FRAC_COPY_4_1, _FP_FRAC_COPY_4_2): Define. * soft-fp/single.h (_FP_FRACTBITS_S): Define. (_FP_FRACXBITS_S): Define in terms of _FP_FRACXBITS_S. (_FP_WFRACXBITS_S): Likewise. (_FP_QNANBIT_SH_S, _FP_IMPLBIT_SH_S): Define. (FP_UNPACK_SEMIRAW_S, FP_UNPACK_SEMIRAW_SP): Define. (FP_PACK_SEMIRAW_S, FP_PACK_SEMIRAW_SP): Define. * soft-fp/double.h (_FP_QNANBIT_SH_D, _FP_IMPLBIT_SH_D): Define. (FP_UNPACK_SEMIRAW_D, FP_UNPACK_SEMIRAW_D): Define (FP_PACK_SEMIRAW_D, FP_PACK_SEMIRAW_DP): Define. * soft-fp/extended.h (_FP_QNANBIT_SH_E, _FP_IMPLBIT_SH_E): Define. (FP_UNPACK_EP): Correct typo. (FP_UNPACK_SEMIRAW_E, FP_UNPACK_SEMIRAW_EP): Define. (FP_PACK_SEMIRAW_E, FP_PACK_SEMIRAW_EP): Define. * soft-fp/quad.h (_FP_QNANBIT_SH_Q, _FP_IMPLBIT_SH_Q): Define. (FP_UNPACK_SEMIRAW_Q, FP_UNPACK_SEMIRAW_QP): Define. (FP_PACK_SEMIRAW_Q, FP_PACK_SEMIRAW_QP): Define. * soft-fp/fixdfdi.c: Use unsigned type for result of conversion. * soft-fp/fixdfsi.c: Likewise. * soft-fp/fixsfdi.c: Likewise. * soft-fp/fixsfsi.c: Likewise. * soft-fp/fixtfdi.c: Likewise. * soft-fp/fixtfsi.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvtxq.c: Likewise. * sysdeps/alpha/soft-fp/ots_nintxq.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtoi.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtoll.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtoi.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtoll.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtoi.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtox.c: Likewise. * soft-fp/adddf3.c: Update for changed soft-fp interfaces. * soft-fp/addsf3.c: Likewise. * soft-fp/addtf3.c: Likewise. * soft-fp/extenddftf2.c: Likewise. * soft-fp/extendsfdf2.c: Likewise. * soft-fp/extendsftf2.c: Likewise. * soft-fp/fixdfdi.c: Likewise. * soft-fp/fixdfsi.c: Likewise. * soft-fp/fixsfdi.c: Likewise. * soft-fp/fixsfsi.c: Likewise. * soft-fp/fixtfdi.c: Likewise. * soft-fp/fixtfsi.c: Likewise. * soft-fp/fixunsdfdi.c: Likewise. * soft-fp/fixunsdfsi.c: Likewise. * soft-fp/fixunssfdi.c: Likewise. * soft-fp/fixunssfsi.c: Likewise. * soft-fp/fixunstfdi.c: Likewise. * soft-fp/fixunstfsi.c: Likewise. * soft-fp/floatdidf.c: Likewise. * soft-fp/floatdisf.c: Likewise. * soft-fp/floatditf.c: Likewise. * soft-fp/floatsidf.c: Likewise. * soft-fp/floatsisf.c: Likewise. * soft-fp/floatsitf.c: Likewise. * soft-fp/floatundidf.c: Likewise. * soft-fp/floatundisf.c: Likewise. * soft-fp/floatunditf.c: Likewise. * soft-fp/floatunsidf.c: Likewise. * soft-fp/floatunsisf.c: Likewise. * soft-fp/floatunsitf.c: Likewise. * soft-fp/subdf3.c: Likewise. * soft-fp/subsf3.c: Likewise. * soft-fp/subtf3.c: Likewise. * soft-fp/truncdfsf2.c: Likewise. * soft-fp/trunctfdf2.c: Likewise. * soft-fp/trunctfsf2.c: Likewise. * sysdeps/alpha/soft-fp/ots_add.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvtqux.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvtqx.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvttx.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvtxq.c: Likewise. * sysdeps/alpha/soft-fp/ots_cvtxt.c: Likewise. * sysdeps/alpha/soft-fp/ots_nintxq.c: Likewise. * sysdeps/alpha/soft-fp/ots_sub.c: Likewise. * sysdeps/powerpc/soft-fp/q_add.c: Likewise. * sysdeps/powerpc/soft-fp/q_dtoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_itoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_lltoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtod.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtoi.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtoll.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtos.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtou.c: Likewise. * sysdeps/powerpc/soft-fp/q_qtoull.c: Likewise. * sysdeps/powerpc/soft-fp/q_stoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_sub.c: Likewise. * sysdeps/powerpc/soft-fp/q_ulltoq.c: Likewise. * sysdeps/powerpc/soft-fp/q_utoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_add.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_dtoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_itoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_lltoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtod.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtoi.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtoll.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtos.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtou.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_qtoull.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_stoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_sub.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_ulltoq.c: Likewise. * sysdeps/sparc/sparc32/soft-fp/q_utoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_add.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_dtoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_itoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtod.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtoi.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtos.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtoui.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtoux.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_qtox.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_stoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_sub.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_uitoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_uxtoq.c: Likewise. * sysdeps/sparc/sparc64/soft-fp/qp_xtoq.c: Likewise.
Diffstat (limited to 'soft-fp/op-common.h')
-rw-r--r--soft-fp/op-common.h1041
1 files changed, 782 insertions, 259 deletions
diff --git a/soft-fp/op-common.h b/soft-fp/op-common.h
index f30260ede4..957f71dacd 100644
--- a/soft-fp/op-common.h
+++ b/soft-fp/op-common.h
@@ -21,8 +21,8 @@
Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA
02111-1307 USA. */
-#define _FP_DECL(wc, X) \
- _FP_I_TYPE X##_c, X##_s, X##_e; \
+#define _FP_DECL(wc, X) \
+ _FP_I_TYPE X##_c __attribute__((unused)), X##_s, X##_e; \
_FP_FRAC_DECL_##wc(X)
/*
@@ -71,6 +71,87 @@ do { \
} \
} while (0)
+/* Finish unpacking an fp value in semi-raw mode: the mantissa is
+ shifted by _FP_WORKBITS but the implicit MSB is not inserted and
+ other classification is not done. */
+#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc(X, _FP_WORKBITS)
+
+/* A semi-raw value has overflowed to infinity. Adjust the mantissa
+ and exponent appropriately. */
+#define _FP_OVERFLOW_SEMIRAW(fs, wc, X) \
+do { \
+ if (FP_ROUNDMODE == FP_RND_NEAREST \
+ || (FP_ROUNDMODE == FP_RND_PINF && !X##_s) \
+ || (FP_ROUNDMODE == FP_RND_MINF && X##_s)) \
+ { \
+ X##_e = _FP_EXPMAX_##fs; \
+ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
+ } \
+ else \
+ { \
+ X##_e = _FP_EXPMAX_##fs - 1; \
+ FP_SET_EXCEPTION(FP_EX_OVERFLOW); \
+ FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc); \
+ } \
+} while (0)
+
+/* Check for a semi-raw value being a signaling NaN and raise the
+ invalid exception if so. */
+#define _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X) \
+do { \
+ if (X##_e == _FP_EXPMAX_##fs \
+ && !_FP_FRAC_ZEROP_##wc(X) \
+ && !(_FP_FRAC_HIGH_##fs(X) & _FP_QNANBIT_SH_##fs)) \
+ FP_SET_EXCEPTION(FP_EX_INVALID); \
+} while (0)
+
+/* Choose a NaN result from an operation on two semi-raw NaN
+ values. */
+#define _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP) \
+do { \
+ /* _FP_CHOOSENAN expects raw values, so shift as required. */ \
+ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
+ _FP_FRAC_SRL_##wc(Y, _FP_WORKBITS); \
+ _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \
+ _FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \
+} while (0)
+
+/* Test whether a biased exponent is normal (not zero or maximum). */
+#define _FP_EXP_NORMAL(fs, wc, X) (((X##_e + 1) & _FP_EXPMAX_##fs) > 1)
+
+/* Prepare to pack an fp value in semi-raw mode: the mantissa is
+ rounded and shifted right, with the rounding possibly increasing
+ the exponent (including changing a finite value to infinity). */
+#define _FP_PACK_SEMIRAW(fs, wc, X) \
+do { \
+ _FP_ROUND(wc, X); \
+ if (_FP_FRAC_HIGH_##fs(X) \
+ & (_FP_OVERFLOW_##fs >> 1)) \
+ { \
+ _FP_FRAC_HIGH_##fs(X) &= ~(_FP_OVERFLOW_##fs >> 1); \
+ X##_e++; \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ _FP_OVERFLOW_SEMIRAW(fs, wc, X); \
+ } \
+ _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
+ if (!_FP_EXP_NORMAL(fs, wc, X) && !_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ if (X##_e == 0) \
+ FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \
+ else \
+ { \
+ if (!_FP_KEEPNANFRACP) \
+ { \
+ _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
+ X##_s = _FP_NANSIGN_##fs; \
+ } \
+ else \
+ _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \
+ } \
+ } \
+} while (0)
+
/*
* Before packing the bits back into the native fp result, take care
* of such mundane things as rounding and overflow. Also, for some
@@ -202,153 +283,433 @@ do { \
-/*
- * Main addition routine. The input values should be cooked.
- */
-
-#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
-do { \
- switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
- { \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
- { \
- /* shift the smaller number so that its exponent matches the larger */ \
- _FP_I_TYPE diff = X##_e - Y##_e; \
- \
- if (diff < 0) \
- { \
- diff = -diff; \
- if (diff <= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs); \
- else if (!_FP_FRAC_ZEROP_##wc(X)) \
- _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
- R##_e = Y##_e; \
- } \
- else \
- { \
- if (diff > 0) \
- { \
- if (diff <= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs); \
- else if (!_FP_FRAC_ZEROP_##wc(Y)) \
- _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
- } \
- R##_e = X##_e; \
- } \
- \
- R##_c = FP_CLS_NORMAL; \
- \
- if (X##_s == Y##_s) \
- { \
- R##_s = X##_s; \
- _FP_FRAC_ADD_##wc(R, X, Y); \
- if (_FP_FRAC_OVERP_##wc(fs, R)) \
- { \
- _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
- R##_e++; \
- } \
- } \
- else \
- { \
- R##_s = X##_s; \
- _FP_FRAC_SUB_##wc(R, X, Y); \
- if (_FP_FRAC_ZEROP_##wc(R)) \
- { \
- /* return an exact zero */ \
- if (FP_ROUNDMODE == FP_RND_MINF) \
- R##_s |= Y##_s; \
- else \
- R##_s &= Y##_s; \
- R##_c = FP_CLS_ZERO; \
- } \
- else \
- { \
- if (_FP_FRAC_NEGP_##wc(R)) \
- { \
- _FP_FRAC_SUB_##wc(R, Y, X); \
- R##_s = Y##_s; \
- } \
- \
- /* renormalize after subtraction */ \
- _FP_FRAC_CLZ_##wc(diff, R); \
- diff -= _FP_WFRACXBITS_##fs; \
- if (diff) \
- { \
- R##_e -= diff; \
- _FP_FRAC_SLL_##wc(R, diff); \
- } \
- } \
- } \
- break; \
- } \
- \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
- _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
- R##_e = X##_e; \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
- _FP_FRAC_COPY_##wc(R, X); \
- R##_s = X##_s; \
- R##_c = X##_c; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
- R##_e = Y##_e; \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
- _FP_FRAC_COPY_##wc(R, Y); \
- R##_s = Y##_s; \
- R##_c = Y##_c; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
- if (X##_s != Y##_s) \
- { \
- /* +INF + -INF => NAN */ \
- _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
- R##_s = _FP_NANSIGN_##fs; \
- R##_c = FP_CLS_NAN; \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- break; \
- } \
- /* FALLTHRU */ \
- \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
- case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
- R##_s = X##_s; \
- R##_c = FP_CLS_INF; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
- R##_s = Y##_s; \
- R##_c = FP_CLS_INF; \
- break; \
- \
- case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
- /* make sure the sign is correct */ \
- if (FP_ROUNDMODE == FP_RND_MINF) \
- R##_s = X##_s | Y##_s; \
- else \
- R##_s = X##_s & Y##_s; \
- R##_c = FP_CLS_ZERO; \
- break; \
- \
- default: \
- abort(); \
- } \
+/* Addition on semi-raw values. */
+#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
+do { \
+ if (X##_s == Y##_s) \
+ { \
+ /* Addition. */ \
+ R##_s = X##_s; \
+ int ediff = X##_e - Y##_e; \
+ if (ediff > 0) \
+ { \
+ R##_e = X##_e; \
+ if (Y##_e == 0) \
+ { \
+ /* Y is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc(Y)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto add_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_ADD_##wc(R, X, Y); \
+ goto add3; \
+ } \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto add_done; \
+ } \
+ goto add1; \
+ } \
+ } \
+ else if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* X is NaN or Inf, Y is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto add_done; \
+ } \
+ \
+ /* Insert implicit MSB of Y. */ \
+ _FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ add1: \
+ /* Shift the mantissa of Y to the right EDIFF steps; \
+ remember to account later for the implicit MSB of X. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc(Y)) \
+ _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
+ _FP_FRAC_ADD_##wc(R, X, Y); \
+ } \
+ else if (ediff < 0) \
+ { \
+ ediff = -ediff; \
+ R##_e = Y##_e; \
+ if (X##_e == 0) \
+ { \
+ /* X is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto add_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_ADD_##wc(R, Y, X); \
+ goto add3; \
+ } \
+ if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto add_done; \
+ } \
+ goto add2; \
+ } \
+ } \
+ else if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* Y is NaN or Inf, X is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto add_done; \
+ } \
+ \
+ /* Insert implicit MSB of X. */ \
+ _FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ add2: \
+ /* Shift the mantissa of X to the right EDIFF steps; \
+ remember to account later for the implicit MSB of Y. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc(X)) \
+ _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
+ _FP_FRAC_ADD_##wc(R, Y, X); \
+ } \
+ else \
+ { \
+ /* ediff == 0. */ \
+ if (!_FP_EXP_NORMAL(fs, wc, X)) \
+ { \
+ if (X##_e == 0) \
+ { \
+ /* X and Y are zero or denormalized. */ \
+ R##_e = 0; \
+ if (_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ if (!_FP_FRAC_ZEROP_##wc(Y)) \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto add_done; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc(Y)) \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto add_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ _FP_FRAC_ADD_##wc(R, X, Y); \
+ if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* Normalized result. */ \
+ _FP_FRAC_HIGH_##fs(R) \
+ &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
+ R##_e = 1; \
+ } \
+ goto add_done; \
+ } \
+ } \
+ else \
+ { \
+ /* X and Y are NaN or Inf. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ R##_e = _FP_EXPMAX_##fs; \
+ if (_FP_FRAC_ZEROP_##wc(X)) \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ else if (_FP_FRAC_ZEROP_##wc(Y)) \
+ _FP_FRAC_COPY_##wc(R, X); \
+ else \
+ _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \
+ goto add_done; \
+ } \
+ } \
+ /* The exponents of X and Y, both normal, are equal. The \
+ implicit MSBs will always add to increase the \
+ exponent. */ \
+ _FP_FRAC_ADD_##wc(R, X, Y); \
+ R##_e = X##_e + 1; \
+ _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
+ if (R##_e == _FP_EXPMAX_##fs) \
+ /* Overflow to infinity (depending on rounding mode). */ \
+ _FP_OVERFLOW_SEMIRAW(fs, wc, R); \
+ goto add_done; \
+ } \
+ add3: \
+ if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* Overflow. */ \
+ _FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
+ R##_e++; \
+ _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
+ if (R##_e == _FP_EXPMAX_##fs) \
+ /* Overflow to infinity (depending on rounding mode). */ \
+ _FP_OVERFLOW_SEMIRAW(fs, wc, R); \
+ } \
+ add_done: ; \
+ } \
+ else \
+ { \
+ /* Subtraction. */ \
+ int ediff = X##_e - Y##_e; \
+ if (ediff > 0) \
+ { \
+ R##_e = X##_e; \
+ R##_s = X##_s; \
+ if (Y##_e == 0) \
+ { \
+ /* Y is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc(Y)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto sub_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_SUB_##wc(R, X, Y); \
+ goto sub3; \
+ } \
+ if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto sub_done; \
+ } \
+ goto sub1; \
+ } \
+ } \
+ else if (X##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* X is NaN or Inf, Y is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ goto sub_done; \
+ } \
+ \
+ /* Insert implicit MSB of Y. */ \
+ _FP_FRAC_HIGH_##fs(Y) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ sub1: \
+ /* Shift the mantissa of Y to the right EDIFF steps; \
+ remember to account later for the implicit MSB of X. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc(Y, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc(Y)) \
+ _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
+ _FP_FRAC_SUB_##wc(R, X, Y); \
+ } \
+ else if (ediff < 0) \
+ { \
+ ediff = -ediff; \
+ R##_e = Y##_e; \
+ R##_s = Y##_s; \
+ if (X##_e == 0) \
+ { \
+ /* X is zero or denormalized. */ \
+ if (_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto sub_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ ediff--; \
+ if (ediff == 0) \
+ { \
+ _FP_FRAC_SUB_##wc(R, Y, X); \
+ goto sub3; \
+ } \
+ if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto sub_done; \
+ } \
+ goto sub2; \
+ } \
+ } \
+ else if (Y##_e == _FP_EXPMAX_##fs) \
+ { \
+ /* Y is NaN or Inf, X is normal. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ goto sub_done; \
+ } \
+ \
+ /* Insert implicit MSB of X. */ \
+ _FP_FRAC_HIGH_##fs(X) |= _FP_IMPLBIT_SH_##fs; \
+ \
+ sub2: \
+ /* Shift the mantissa of X to the right EDIFF steps; \
+ remember to account later for the implicit MSB of Y. */ \
+ if (ediff <= _FP_WFRACBITS_##fs) \
+ _FP_FRAC_SRS_##wc(X, ediff, _FP_WFRACBITS_##fs); \
+ else if (!_FP_FRAC_ZEROP_##wc(X)) \
+ _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
+ _FP_FRAC_SUB_##wc(R, Y, X); \
+ } \
+ else \
+ { \
+ /* ediff == 0. */ \
+ if (!_FP_EXP_NORMAL(fs, wc, X)) \
+ { \
+ if (X##_e == 0) \
+ { \
+ /* X and Y are zero or denormalized. */ \
+ R##_e = 0; \
+ if (_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ if (_FP_FRAC_ZEROP_##wc(Y)) \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ R##_s = Y##_s; \
+ } \
+ goto sub_done; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc(Y)) \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ _FP_FRAC_COPY_##wc(R, X); \
+ R##_s = X##_s; \
+ goto sub_done; \
+ } \
+ else \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ _FP_FRAC_SUB_##wc(R, X, Y); \
+ R##_s = X##_s; \
+ if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* |X| < |Y|, negate result. */ \
+ _FP_FRAC_SUB_##wc(R, Y, X); \
+ R##_s = Y##_s; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc(R)) \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ goto sub_done; \
+ } \
+ } \
+ else \
+ { \
+ /* X and Y are NaN or Inf, of opposite signs. */ \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X); \
+ _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, Y); \
+ R##_e = _FP_EXPMAX_##fs; \
+ if (_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ if (_FP_FRAC_ZEROP_##wc(Y)) \
+ { \
+ /* Inf - Inf. */ \
+ R##_s = _FP_NANSIGN_##fs; \
+ _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
+ _FP_FRAC_SLL_##wc(R, _FP_WORKBITS); \
+ FP_SET_EXCEPTION(FP_EX_INVALID); \
+ } \
+ else \
+ { \
+ /* Inf - NaN. */ \
+ R##_s = Y##_s; \
+ _FP_FRAC_COPY_##wc(R, Y); \
+ } \
+ } \
+ else \
+ { \
+ if (_FP_FRAC_ZEROP_##wc(Y)) \
+ { \
+ /* NaN - Inf. */ \
+ R##_s = X##_s; \
+ _FP_FRAC_COPY_##wc(R, X); \
+ } \
+ else \
+ { \
+ /* NaN - NaN. */ \
+ _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP); \
+ } \
+ } \
+ goto sub_done; \
+ } \
+ } \
+ /* The exponents of X and Y, both normal, are equal. The \
+ implicit MSBs cancel. */ \
+ R##_e = X##_e; \
+ _FP_FRAC_SUB_##wc(R, X, Y); \
+ R##_s = X##_s; \
+ if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ /* |X| < |Y|, negate result. */ \
+ _FP_FRAC_SUB_##wc(R, Y, X); \
+ R##_s = Y##_s; \
+ } \
+ else if (_FP_FRAC_ZEROP_##wc(R)) \
+ { \
+ R##_e = 0; \
+ R##_s = (FP_ROUNDMODE == FP_RND_MINF); \
+ goto sub_done; \
+ } \
+ goto norm; \
+ } \
+ sub3: \
+ if (_FP_FRAC_HIGH_##fs(R) & _FP_IMPLBIT_SH_##fs) \
+ { \
+ int diff; \
+ /* Carry into most significant bit of larger one of X and Y, \
+ canceling it; renormalize. */ \
+ _FP_FRAC_HIGH_##fs(R) &= _FP_IMPLBIT_SH_##fs - 1; \
+ norm: \
+ _FP_FRAC_CLZ_##wc(diff, R); \
+ diff -= _FP_WFRACXBITS_##fs; \
+ _FP_FRAC_SLL_##wc(R, diff); \
+ if (R##_e <= diff) \
+ { \
+ /* R is denormalized. */ \
+ diff = diff - R##_e + 1; \
+ _FP_FRAC_SRS_##wc(R, diff, _FP_WFRACBITS_##fs); \
+ R##_e = 0; \
+ } \
+ else \
+ { \
+ R##_e -= diff; \
+ _FP_FRAC_HIGH_##fs(R) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
+ } \
+ } \
+ sub_done: ; \
+ } \
} while (0)
#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')
-#define _FP_SUB(fs, wc, R, X, Y) \
- do { \
- if (Y##_c != FP_CLS_NAN) Y##_s ^= 1; \
- _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \
+#define _FP_SUB(fs, wc, R, X, Y) \
+ do { \
+ if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) Y##_s ^= 1; \
+ _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \
} while (0)
@@ -537,20 +898,20 @@ do { \
/* Simplification for strict equality. */
-#define _FP_CMP_EQ(fs, wc, ret, X, Y) \
- do { \
- /* NANs are unordered */ \
- if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
- || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \
- { \
- ret = 1; \
- } \
- else \
- { \
- ret = !(X##_e == Y##_e \
- && _FP_FRAC_EQ_##wc(X, Y) \
- && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \
- } \
+#define _FP_CMP_EQ(fs, wc, ret, X, Y) \
+ do { \
+ /* NANs are unordered */ \
+ if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
+ || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \
+ { \
+ ret = 1; \
+ } \
+ else \
+ { \
+ ret = !(X##_e == Y##_e \
+ && _FP_FRAC_EQ_##wc(X, Y) \
+ && (X##_s == Y##_s || (!X##_e && _FP_FRAC_ZEROP_##wc(X)))); \
+ } \
} while (0)
/* Version to test unordered. */
@@ -616,115 +977,277 @@ do { \
} while (0)
/*
- * Convert from FP to integer
+ * Convert from FP to integer. Input is raw.
*/
/* RSIGNED can have following values:
* 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus
- * the result is either 0 or (2^rsize)-1 depending on the sign in such case.
- * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
- * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
- * on the sign in such case.
+ * the result is either 0 or (2^rsize)-1 depending on the sign in such
+ * case.
+ * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not,
+ * NV is set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1
+ * depending on the sign in such case.
* -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is
- * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
- * on the sign in such case.
+ * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1
+ * depending on the sign in such case.
*/
-#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \
- do { \
- switch (X##_c) \
- { \
- case FP_CLS_NORMAL: \
- if (X##_e < 0) \
- { \
- FP_SET_EXCEPTION(FP_EX_INEXACT); \
- case FP_CLS_ZERO: \
- r = 0; \
- } \
- else if (X##_e >= rsize - (rsigned > 0 || X##_s) \
- || (!rsigned && X##_s)) \
- { /* overflow */ \
- case FP_CLS_NAN: \
- case FP_CLS_INF: \
- if (rsigned) \
- { \
- r = 1; \
- r <<= rsize - 1; \
- r -= 1 - X##_s; \
- } else { \
- r = 0; \
- if (X##_s) \
- r = ~r; \
- } \
- FP_SET_EXCEPTION(FP_EX_INVALID); \
- } \
- else \
- { \
- if (_FP_W_TYPE_SIZE*wc < rsize) \
- { \
- _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
- r <<= X##_e - _FP_WFRACBITS_##fs; \
- } \
- else \
- { \
- if (X##_e >= _FP_WFRACBITS_##fs) \
- _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \
- else if (X##_e < _FP_WFRACBITS_##fs - 1) \
- { \
- _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2), \
- _FP_WFRACBITS_##fs); \
- if (_FP_FRAC_LOW_##wc(X) & 1) \
- FP_SET_EXCEPTION(FP_EX_INEXACT); \
- _FP_FRAC_SRL_##wc(X, 1); \
- } \
- _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
- } \
- if (rsigned && X##_s) \
- r = -r; \
- } \
- break; \
- } \
- } while (0)
-
-#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
- do { \
- if (r) \
- { \
- unsigned rtype ur_; \
- X##_c = FP_CLS_NORMAL; \
- \
- if ((X##_s = (r < 0))) \
- r = -r; \
- \
- ur_ = (unsigned rtype) r; \
- if (rsize <= _FP_W_TYPE_SIZE) \
- __FP_CLZ(X##_e, ur_); \
- else \
- __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \
- (_FP_W_TYPE)ur_); \
- if (rsize < _FP_W_TYPE_SIZE) \
- X##_e -= (_FP_W_TYPE_SIZE - rsize); \
- X##_e = rsize - X##_e - 1; \
+#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \
+do { \
+ if (X##_e < _FP_EXPBIAS_##fs) \
+ { \
+ r = 0; \
+ if (X##_e == 0) \
+ { \
+ if (!_FP_FRAC_ZEROP_##wc(X)) \
+ { \
+ FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ } \
+ } \
+ else \
+ FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ } \
+ else if (X##_e >= _FP_EXPBIAS_##fs + rsize - (rsigned > 0 || X##_s) \
+ || (!rsigned && X##_s)) \
+ { \
+ /* Overflow or converting to the most negative integer. */ \
+ if (rsigned) \
+ { \
+ r = 1; \
+ r <<= rsize - 1; \
+ r -= 1 - X##_s; \
+ } else { \
+ r = 0; \
+ if (X##_s) \
+ r = ~r; \
+ } \
\
- if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e) \
- __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\
- _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
- if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \
- _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \
- } \
- else \
- { \
- X##_c = FP_CLS_ZERO, X##_s = 0; \
- } \
+ if (rsigned && X##_s && X##_e == _FP_EXPBIAS_##fs + rsize - 1) \
+ { \
+ /* Possibly converting to most negative integer; check the \
+ mantissa. */ \
+ int inexact = 0; \
+ (void)((_FP_FRACBITS_##fs > rsize) \
+ ? ({ _FP_FRAC_SRST_##wc(X, inexact, \
+ _FP_FRACBITS_##fs - rsize, \
+ _FP_FRACBITS_##fs); 0; }) \
+ : 0); \
+ if (!_FP_FRAC_ZEROP_##wc(X)) \
+ FP_SET_EXCEPTION(FP_EX_INVALID); \
+ else if (inexact) \
+ FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ } \
+ else \
+ FP_SET_EXCEPTION(FP_EX_INVALID); \
+ } \
+ else \
+ { \
+ _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs; \
+ if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \
+ { \
+ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
+ r <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \
+ } \
+ else \
+ { \
+ int inexact; \
+ _FP_FRAC_SRST_##wc(X, inexact, \
+ (_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \
+ - X##_e), \
+ _FP_FRACBITS_##fs); \
+ if (inexact) \
+ FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
+ } \
+ if (rsigned && X##_s) \
+ r = -r; \
+ } \
+} while (0)
+
+/* Convert integer to fp. Output is raw. RTYPE is unsigned even if
+ input is signed. */
+#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
+ do { \
+ if (r) \
+ { \
+ rtype ur_; \
+ \
+ if ((X##_s = (r < 0))) \
+ r = -(rtype)r; \
+ \
+ ur_ = (rtype) r; \
+ (void)((rsize <= _FP_W_TYPE_SIZE) \
+ ? ({ \
+ int lz_; \
+ __FP_CLZ(lz_, (_FP_W_TYPE)ur_); \
+ X##_e = _FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 - lz_; \
+ }) \
+ : ((rsize <= 2 * _FP_W_TYPE_SIZE) \
+ ? ({ \
+ int lz_; \
+ __FP_CLZ_2(lz_, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \
+ (_FP_W_TYPE)ur_); \
+ X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \
+ - lz_); \
+ }) \
+ : (abort(), 0))); \
+ \
+ if (rsize - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \
+ && X##_e >= _FP_EXPMAX_##fs) \
+ { \
+ /* Exponent too big; overflow to infinity. (May also \
+ happen after rounding below.) */ \
+ _FP_OVERFLOW_SEMIRAW(fs, wc, X); \
+ goto pack_semiraw; \
+ } \
+ \
+ if (rsize <= _FP_FRACBITS_##fs \
+ || X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \
+ { \
+ /* Exactly representable; shift left. */ \
+ _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
+ _FP_FRAC_SLL_##wc(X, (_FP_EXPBIAS_##fs \
+ + _FP_FRACBITS_##fs - 1 - X##_e)); \
+ } \
+ else \
+ { \
+ /* More bits in integer than in floating type; need to \
+ round. */ \
+ if (_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 < X##_e) \
+ ur_ = ((ur_ >> (X##_e - _FP_EXPBIAS_##fs \
+ - _FP_WFRACBITS_##fs + 1)) \
+ | ((ur_ << (rsize - (X##_e - _FP_EXPBIAS_##fs \
+ - _FP_WFRACBITS_##fs + 1))) \
+ != 0)); \
+ _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
+ if ((_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 - X##_e) > 0) \
+ _FP_FRAC_SLL_##wc(X, (_FP_EXPBIAS_##fs \
+ + _FP_WFRACBITS_##fs - 1 - X##_e)); \
+ _FP_FRAC_HIGH_##fs(X) &= ~(_FP_W_TYPE)_FP_IMPLBIT_SH_##fs; \
+ pack_semiraw: \
+ _FP_PACK_SEMIRAW(fs, wc, X); \
+ } \
+ } \
+ else \
+ { \
+ X##_s = 0; \
+ X##_e = 0; \
+ _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
+ } \
} while (0)
-#define FP_CONV(dfs,sfs,dwc,swc,D,S) \
- do { \
- _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S); \
- D##_e = S##_e; \
- D##_c = S##_c; \
- D##_s = S##_s; \
- } while (0)
+/* Extend from a narrower floating-point format to a wider one. Input
+ and output are raw. */
+#define FP_EXTEND(dfs,sfs,dwc,swc,D,S) \
+do { \
+ if (_FP_FRACBITS_##dfs < _FP_FRACBITS_##sfs \
+ || (_FP_EXPMAX_##dfs - _FP_EXPBIAS_##dfs \
+ < _FP_EXPMAX_##sfs - _FP_EXPBIAS_##sfs) \
+ || _FP_EXPBIAS_##dfs < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \
+ abort(); \
+ D##_s = S##_s; \
+ _FP_FRAC_COPY_##dwc##_##swc(D, S); \
+ if (_FP_EXP_NORMAL(sfs, swc, S)) \
+ { \
+ D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
+ _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs - _FP_FRACBITS_##sfs)); \
+ } \
+ else \
+ { \
+ if (S##_e == 0) \
+ { \
+ if (_FP_FRAC_ZEROP_##swc(S)) \
+ D##_e = 0; \
+ else \
+ { \
+ int _lz; \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ _FP_FRAC_CLZ_##swc(_lz, S); \
+ _FP_FRAC_SLL_##dwc(D, \
+ _lz + _FP_FRACBITS_##dfs \
+ - _FP_FRACTBITS_##sfs); \
+ D##_e = (_FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs + 1 \
+ + _FP_FRACXBITS_##sfs - _lz); \
+ } \
+ } \
+ else \
+ { \
+ D##_e = _FP_EXPMAX_##dfs; \
+ if (!_FP_FRAC_ZEROP_##swc(S)) \
+ { \
+ if (!(_FP_FRAC_HIGH_RAW_##sfs(S) & _FP_QNANBIT_##sfs)) \
+ FP_SET_EXCEPTION(FP_EX_INVALID); \
+ _FP_FRAC_SLL_##dwc(D, (_FP_FRACBITS_##dfs \
+ - _FP_FRACBITS_##sfs)); \
+ } \
+ } \
+ } \
+} while (0)
+
+/* Truncate from a wider floating-point format to a narrower one.
+ Input and output are semi-raw. */
+#define FP_TRUNC(dfs,sfs,dwc,swc,D,S) \
+do { \
+ if (_FP_FRACBITS_##sfs < _FP_FRACBITS_##dfs \
+ || _FP_EXPBIAS_##sfs < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \
+ abort(); \
+ D##_s = S##_s; \
+ if (_FP_EXP_NORMAL(sfs, swc, S)) \
+ { \
+ D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \
+ if (D##_e >= _FP_EXPMAX_##dfs) \
+ _FP_OVERFLOW_SEMIRAW(dfs, dwc, D); \
+ else \
+ { \
+ if (D##_e <= 0) \
+ { \
+ if (D##_e <= 1 - _FP_FRACBITS_##dfs) \
+ _FP_FRAC_SET_##swc(S, _FP_ZEROFRAC_##swc); \
+ else \
+ { \
+ _FP_FRAC_HIGH_##sfs(S) |= _FP_IMPLBIT_SH_##sfs; \
+ _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
+ - _FP_WFRACBITS_##dfs + 1 - D##_e), \
+ _FP_WFRACBITS_##sfs); \
+ } \
+ D##_e = 0; \
+ } \
+ else \
+ _FP_FRAC_SRS_##swc(S, (_FP_WFRACBITS_##sfs \
+ - _FP_WFRACBITS_##dfs), \
+ _FP_WFRACBITS_##sfs); \
+ _FP_FRAC_COPY_##dwc##_##swc(D, S); \
+ } \
+ } \
+ else \
+ { \
+ if (S##_e == 0) \
+ { \
+ D##_e = 0; \
+ _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
+ if (!_FP_FRAC_ZEROP_##swc(S)) \
+ { \
+ FP_SET_EXCEPTION(FP_EX_DENORM); \
+ FP_SET_EXCEPTION(FP_EX_INEXACT); \
+ } \
+ } \
+ else \
+ { \
+ D##_e = _FP_EXPMAX_##dfs; \
+ if (_FP_FRAC_ZEROP_##swc(S)) \
+ _FP_FRAC_SET_##dwc(D, _FP_ZEROFRAC_##dwc); \
+ else \
+ { \
+ _FP_CHECK_SIGNAN_SEMIRAW(sfs, swc, S); \
+ _FP_FRAC_SRL_##swc(S, (_FP_WFRACBITS_##sfs \
+ - _FP_WFRACBITS_##dfs)); \
+ _FP_FRAC_COPY_##dwc##_##swc(D, S); \
+ _FP_FRAC_HIGH_##dfs(D) |= _FP_QNANBIT_SH_##dfs; \
+ } \
+ } \
+ } \
+} while (0)
/*
* Helper primitives.