--- /dev/null
+/* This is a software fixed-point library.
+ Copyright (C) 2007 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file. (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC 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 General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING. If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA. */
+
+/* This implements fixed-point arithmetic.
+
+ Contributed by Chao-ying Fu <fu@mips.com>. */
+
+/* To use this file, we need to define one of the following:
+ QQ_MODE, UQQ_MODE, HQ_MODE, UHQ_MODE, SQ_MODE, USQ_MODE, DQ_MODE, UDQ_MODE,
+ TQ_MODE, UTQ_MODE, HA_MODE, UHA_MODE, SA_MODE, USA_MODE, DA_MODE, UDA_MODE,
+ TA_MODE, UTA_MODE.
+ Then, all operators for this machine mode will be created.
+
+ Or, we need to define FROM_* TO_* for conversions from one mode to another
+ mode. The mode could be one of the following:
+ Fract: QQ, UQQ, HQ, UHQ, SQ, USQ, DQ, UDQ, TQ, UTQ
+ Accum: HA, UHA, SA, USA, DA, UDA, TA, UTA
+ Signed integer: QI, HI, SI, DI, TI
+ Unsigned integer: UQI, UHI, USI, UDI, UTI
+ Floating-point: SF, DF
+ Ex: If we define FROM_QQ and TO_SI, the conversion from QQ to SI is
+ generated. */
+
+#include "tconfig.h"
+#include "tsystem.h"
+#include "coretypes.h"
+#include "tm.h"
+
+#ifndef MIN_UNITS_PER_WORD
+#define MIN_UNITS_PER_WORD UNITS_PER_WORD
+#endif
+
+#include "config/fixed-bit.h"
+
+#if defined(FIXED_ADD) && defined(L_add)
+FIXED_C_TYPE
+FIXED_ADD (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ z = x + y;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_ADD */
+
+#if defined(FIXED_SSADD) && defined(L_ssadd)
+FIXED_C_TYPE
+FIXED_SSADD (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ z = x + y;
+ if ((((x ^ y) >> I_F_BITS) & 1) == 0)
+ {
+ if (((z ^ x) >> I_F_BITS) & 1)
+ {
+ z = 1;
+ z = z << I_F_BITS;
+ if (x >= 0)
+ z--;
+ }
+ }
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_SSADD */
+
+#if defined(FIXED_USADD) && defined(L_usadd)
+FIXED_C_TYPE
+FIXED_USADD (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ z = x + y;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ if (z < x || z < y) /* max */
+ {
+ z = -1;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ }
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_USADD */
+
+#if defined(FIXED_SUB) && defined(L_sub)
+FIXED_C_TYPE
+FIXED_SUB (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ z = x - y;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_SUB */
+
+#if defined(FIXED_SSSUB) && defined(L_sssub)
+FIXED_C_TYPE
+FIXED_SSSUB (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ z = x - y;
+ if (((x ^ y) >> I_F_BITS) & 1)
+ {
+ if (((z ^ x) >> I_F_BITS) & 1)
+ {
+ z = 1;
+ z = z << I_F_BITS;
+ if (x >= 0)
+ z--;
+ }
+ }
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_SSSUB */
+
+#if defined(FIXED_USSUB) && defined(L_ussub)
+FIXED_C_TYPE
+FIXED_USSUB (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ z = x - y;
+ if (x < y)
+ z = 0;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_USSUB */
+
+#if defined(FIXED_SATURATE1) && defined(L_saturate1)
+void
+FIXED_SATURATE1 (DINT_C_TYPE *a)
+{
+ DINT_C_TYPE max, min;
+ max = (DINT_C_TYPE)1 << I_F_BITS;
+ max = max - 1;
+#if MODE_UNSIGNED == 0
+ min = (DINT_C_TYPE)1 << (2 * FIXED_WIDTH - 1);
+ min = min >> (2 * FIXED_WIDTH - 1 - I_F_BITS);
+#else
+ min = 0;
+#endif
+ if (*a > max)
+ *a = max;
+ else if (*a < min)
+ *a = min;
+}
+#endif /* FIXED_SATURATE1 */
+
+#if defined(FIXED_SATURATE2) && defined(L_saturate2)
+void
+FIXED_SATURATE2 (INT_C_TYPE *high, INT_C_TYPE *low)
+{
+ INT_C_TYPE r_max, s_max, r_min, s_min;
+ r_max = 0;
+#if (MODE_UNSIGNED == 0) || HAVE_PADDING_BITS
+ s_max = (INT_C_TYPE)1 << I_F_BITS;
+ s_max = s_max - 1;
+#else
+ s_max = -1;
+#endif
+#if MODE_UNSIGNED == 0
+ r_min = -1;
+ s_min = (INT_C_TYPE)1 << (FIXED_WIDTH - 1);
+ s_min = s_min >> (FIXED_WIDTH - 1 - I_F_BITS);
+#else
+ r_min = 0;
+ s_min = 0;
+#endif
+
+ if (*high > r_max
+ || (*high == r_max && (UINT_C_TYPE)(*low) > (UINT_C_TYPE)s_max))
+ {
+ *high = r_max;
+ *low = s_max;
+ }
+ else if (*high < r_min ||
+ (*high == r_min && (UINT_C_TYPE)(*low) < (UINT_C_TYPE)s_min))
+ {
+ *high = r_min;
+ *low = s_min;
+ }
+}
+#endif /* FIXED_SATURATE2 */
+
+#if defined(FIXED_MULHELPER) && defined(L_mulhelper)
+FIXED_C_TYPE
+FIXED_MULHELPER (FIXED_C_TYPE a, FIXED_C_TYPE b, word_type satp)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y;
+
+#if defined (DINT_C_TYPE)
+ INT_C_TYPE z;
+ DINT_C_TYPE dx, dy, dz;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ dx = (DINT_C_TYPE) x;
+ dy = (DINT_C_TYPE) y;
+ dz = dx * dy;
+ /* Round the result by adding (1 << (FBITS -1)). */
+ dz += ((DINT_C_TYPE) 1 << (FBITS - 1));
+ dz = dz >> FBITS;
+ if (satp)
+ FIXED_SATURATE1 (&dz);
+
+ z = (INT_C_TYPE) dz;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+
+#else /* No DINT_C_TYPE */
+ /* The result of multiplication expands to two INT_C_TYPE. */
+ INTunion aa, bb;
+ INTunion a_high, a_low, b_high, b_low;
+ INTunion high_high, high_low, low_high, low_low;
+ INTunion r, s, temp1, temp2;
+ INT_C_TYPE carry = 0;
+ INT_C_TYPE z;
+
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+
+ /* Decompose a and b. */
+ aa.ll = x;
+ bb.ll = y;
+
+ a_high.s.low = aa.s.high;
+ a_high.s.high = 0;
+ a_low.s.low = aa.s.low;
+ a_low.s.high = 0;
+ b_high.s.low = bb.s.high;
+ b_high.s.high = 0;
+ b_low.s.low = bb.s.low;
+ b_low.s.high = 0;
+
+ /* Perform four multiplications. */
+ low_low.ll = a_low.ll * b_low.ll;
+ low_high.ll = a_low.ll * b_high.ll;
+ high_low.ll = a_high.ll * b_low.ll;
+ high_high.ll = a_high.ll * b_high.ll;
+
+ /* Accumulate four results to {r, s}. */
+ temp1.s.high = high_low.s.low;
+ temp1.s.low = 0;
+ s.ll = low_low.ll + temp1.ll;
+ if ((UINT_C_TYPE) s.ll < (UINT_C_TYPE) low_low.ll
+ || (UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp1.ll)
+ carry ++; /* Carry. */
+ temp1.ll = s.ll;
+ temp2.s.high = low_high.s.low;
+ temp2.s.low = 0;
+ s.ll = temp1.ll + temp2.ll;
+ if ((UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp1.ll
+ || (UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp2.ll)
+ carry ++; /* Carry. */
+
+ temp1.s.low = high_low.s.high;
+ temp1.s.high = 0;
+ r.ll = high_high.ll + temp1.ll;
+ temp1.s.low = low_high.s.high;
+ temp1.s.high = 0;
+ r.ll = r.ll + temp1.ll + carry;
+
+#if MODE_UNSIGNED == 0
+ /* For signed types, we need to add neg(y) to r, if x < 0. */
+ if (x < 0)
+ r.ll = r.ll - y;
+ /* We need to add neg(x) to r, if y < 0. */
+ if (y < 0)
+ r.ll = r.ll - x;
+#endif
+
+ /* Round the result by adding (1 << (FBITS -1)). */
+ temp1.ll = s.ll;
+ s.ll += ((INT_C_TYPE) 1 << (FBITS -1));
+ if ((UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp1.ll
+ || (UINT_C_TYPE) s.ll < (UINT_C_TYPE) ((INT_C_TYPE) 1 << (FBITS -1)))
+ r.ll += 1;
+
+ /* Shift right the result by FBITS. */
+#if FBITS == FIXED_WIDTH
+ /* This happens only for unsigned types without any padding bits.
+ So, it is safe to set r.ll to 0 as it is logically shifted right. */
+ s.ll = r.ll;
+ r.ll = 0;
+#else
+ s.ll = ((UINT_C_TYPE)s.ll) >> FBITS;
+ temp1.ll = r.ll << (FIXED_WIDTH - FBITS);
+ s.ll = s.ll | temp1.ll;
+ r.ll = r.ll >> FBITS;
+#endif
+
+ if (satp)
+ FIXED_SATURATE2 (&r.ll, &s.ll);
+
+ z = (INT_C_TYPE) s.ll;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+#endif
+}
+#endif /* FIXED_MULHELPER */
+
+#if defined(FIXED_MUL) && defined(L_mul)
+FIXED_C_TYPE
+FIXED_MUL (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_MULHELPER (a, b, 0);
+}
+#endif /* FIXED_MUL */
+
+#if defined(FIXED_SSMUL) && defined(L_ssmul)
+FIXED_C_TYPE
+FIXED_SSMUL (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_MULHELPER (a, b, 1);
+}
+#endif /* FIXED_SSMUL */
+
+#if defined(FIXED_USMUL) && defined(L_usmul)
+FIXED_C_TYPE
+FIXED_USMUL (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_MULHELPER (a, b, 1);
+}
+#endif /* FIXED_USMUL */
+
+#if defined(FIXED_DIVHELPER) && defined(L_divhelper)
+FIXED_C_TYPE
+FIXED_DIVHELPER (FIXED_C_TYPE a, FIXED_C_TYPE b, word_type satp)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y;
+ INT_C_TYPE z;
+
+#if defined (DINT_C_TYPE)
+ DINT_C_TYPE dx, dy, dz;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ dx = (DINT_C_TYPE) x;
+ dy = (DINT_C_TYPE) y;
+ dx = dx << FBITS;
+ dz = dx / dy;
+ if (satp)
+ FIXED_SATURATE1 (&dz);
+ z = (INT_C_TYPE) dz;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+
+#else /* No DINT_C_TYPE */
+ INT_C_TYPE pos_a, pos_b, r, s;
+ INT_C_TYPE quo_r, quo_s, mod, temp;
+ word_type i;
+#if MODE_UNSIGNED == 0
+ word_type num_of_neg = 0;
+#endif
+
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+ pos_a = x;
+ pos_b = y;
+
+#if MODE_UNSIGNED == 0
+ /* If a < 0, negate a. */
+ if (pos_a < 0)
+ {
+ pos_a = -pos_a;
+ num_of_neg ++;
+ }
+ /* If b < 0, negate b. */
+ if (pos_b < 0)
+ {
+ pos_b = -pos_b;
+ num_of_neg ++;
+ }
+#endif
+
+ /* Left shift pos_a to {r, s} by FBITS. */
+#if FBITS == FIXED_WIDTH
+ /* This happens only for unsigned types without any padding bits. */
+ r = pos_a;
+ s = 0;
+#else
+ s = pos_a << FBITS;
+ r = pos_a >> (FIXED_WIDTH - FBITS);
+#endif
+
+ /* Unsigned divide r by pos_b to quo_r. The remanider is in mod. */
+ quo_r = (UINT_C_TYPE)r / (UINT_C_TYPE)pos_b;
+ mod = (UINT_C_TYPE)r % (UINT_C_TYPE)pos_b;
+ quo_s = 0;
+
+ for (i = 0; i < FIXED_WIDTH; i++)
+ {
+ /* Record the leftmost bit of mod. */
+ word_type leftmost_mode = (mod >> (FIXED_WIDTH - 1)) & 1;
+ /* Shift left mod by 1 bit. */
+ mod = mod << 1;
+ /* Test the leftmost bit of s to add to mod. */
+ if ((s >> (FIXED_WIDTH - 1)) & 1)
+ mod ++;
+ /* Shift left quo_s by 1 bit. */
+ quo_s = quo_s << 1;
+ /* Try to calculate (mod - pos_b). */
+ temp = mod - pos_b;
+ if (leftmost_mode || (UINT_C_TYPE)mod >= (UINT_C_TYPE)pos_b)
+ {
+ quo_s ++;
+ mod = temp;
+ }
+ /* Shift left s by 1 bit. */
+ s = s << 1;
+ }
+
+#if MODE_UNSIGNED == 0
+ if (num_of_neg == 1)
+ {
+ quo_s = -quo_s;
+ if (quo_s == 0)
+ quo_r = -quo_r;
+ else
+ quo_r = ~quo_r;
+ }
+#endif
+ if (satp)
+ FIXED_SATURATE2 (&quo_r, &quo_s);
+ z = quo_s;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+#endif
+}
+#endif /* FIXED_DIVHELPER */
+
+#if defined(FIXED_DIV) && defined(L_div)
+FIXED_C_TYPE
+FIXED_DIV (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_DIVHELPER (a, b, 0);
+}
+#endif /* FIXED_DIV */
+
+
+#if defined(FIXED_UDIV) && defined(L_udiv)
+FIXED_C_TYPE
+FIXED_UDIV (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_DIVHELPER (a, b, 0);
+}
+#endif /* FIXED_UDIV */
+
+#if defined(FIXED_SSDIV) && defined(L_ssdiv)
+FIXED_C_TYPE
+FIXED_SSDIV (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_DIVHELPER (a, b, 1);
+}
+#endif /* FIXED_SSDIV */
+
+#if defined(FIXED_USDIV) && defined(L_usdiv)
+FIXED_C_TYPE
+FIXED_USDIV (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ return FIXED_DIVHELPER (a, b, 1);
+}
+#endif /* FIXED_USDIV */
+
+#if defined(FIXED_NEG) && defined(L_neg)
+FIXED_C_TYPE
+FIXED_NEG (FIXED_C_TYPE a)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ z = -x;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_NEG */
+
+#if defined(FIXED_SSNEG) && defined(L_ssneg)
+FIXED_C_TYPE
+FIXED_SSNEG (FIXED_C_TYPE a)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, y, z;
+ memcpy (&y, &a, FIXED_SIZE);
+ x = 0;
+ z = x - y;
+ if (((x ^ y) >> I_F_BITS) & 1)
+ {
+ if (((z ^ x) >> I_F_BITS) & 1)
+ {
+ z = 1;
+ z = z << I_F_BITS;
+ if (x >= 0)
+ z--;
+ }
+ }
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_SSNEG */
+
+#if defined(FIXED_USNEG) && defined(L_usneg)
+FIXED_C_TYPE
+FIXED_USNEG (FIXED_C_TYPE a __attribute__ ((__unused__)))
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE z;
+ z = 0;
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_USNEG */
+
+#if defined(FIXED_ASHLHELPER) && defined(L_ashlhelper)
+FIXED_C_TYPE
+FIXED_ASHLHELPER (FIXED_C_TYPE a, word_type b, word_type satp)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, z;
+
+#if defined (DINT_C_TYPE)
+ DINT_C_TYPE dx, dz;
+ memcpy (&x, &a, FIXED_SIZE);
+ dx = (DINT_C_TYPE) x;
+ if (b >= FIXED_WIDTH)
+ dz = dx << FIXED_WIDTH;
+ else
+ dz = dx << b;
+ if (satp)
+ FIXED_SATURATE1 (&dz);
+ z = (INT_C_TYPE) dz;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+
+#else /* No DINT_C_TYPE */
+ INT_C_TYPE r, s;
+ memcpy (&x, &a, FIXED_SIZE);
+ /* We need to shift left x by b bits to {r, s}. */
+ if (b >= FIXED_WIDTH)
+ {
+ r = b;
+ s = 0;
+ }
+ else
+ {
+ s = x << b;
+ r = x >> (FIXED_WIDTH - b);
+ }
+ if (satp)
+ FIXED_SATURATE2 (&r, &s);
+ z = s;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+#endif
+}
+#endif /* FIXED_ASHLHELPER */
+
+#if defined(FIXED_ASHL) && defined(L_ashl)
+FIXED_C_TYPE
+FIXED_ASHL (FIXED_C_TYPE a, word_type b)
+{
+ return FIXED_ASHLHELPER (a, b, 0);
+}
+#endif /* FIXED_ASHL */
+
+#if defined(FIXED_ASHR) && defined(L_ashr)
+FIXED_C_TYPE
+FIXED_ASHR (FIXED_C_TYPE a, word_type b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ z = x >> b;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_ASHR */
+
+#if defined(FIXED_LSHR) && defined(L_lshr)
+FIXED_C_TYPE
+FIXED_LSHR (FIXED_C_TYPE a, word_type b)
+{
+ FIXED_C_TYPE c;
+ INT_C_TYPE x, z;
+ memcpy (&x, &a, FIXED_SIZE);
+ z = x >> b;
+#if HAVE_PADDING_BITS
+ z = z << PADDING_BITS;
+ z = z >> PADDING_BITS;
+#endif
+ memcpy (&c, &z, FIXED_SIZE);
+ return c;
+}
+#endif /* FIXED_LSHR */
+
+#if defined(FIXED_SSASHL) && defined(L_ssashl)
+FIXED_C_TYPE
+FIXED_SSASHL (FIXED_C_TYPE a, word_type b)
+{
+ return FIXED_ASHLHELPER (a, b, 1);
+}
+#endif /* FIXED_SSASHL */
+
+#if defined(FIXED_USASHL) && defined(L_usashl)
+FIXED_C_TYPE
+FIXED_USASHL (FIXED_C_TYPE a, word_type b)
+{
+ return FIXED_ASHLHELPER (a, b, 1);
+}
+#endif /* FIXED_USASHL */
+
+#if defined(FIXED_CMP) && defined(L_cmp)
+word_type
+FIXED_CMP (FIXED_C_TYPE a, FIXED_C_TYPE b)
+{
+ INT_C_TYPE x, y;
+ memcpy (&x, &a, FIXED_SIZE);
+ memcpy (&y, &b, FIXED_SIZE);
+
+ if (x < y)
+ return 0;
+ else if (x > y)
+ return 2;
+
+ return 1;
+}
+#endif /* FIXED_CMP */
+
+/* Fixed -> Fixed. */
+#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 4 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+FRACT (FROM_FIXED_C_TYPE a)
+{
+ TO_FIXED_C_TYPE c;
+ FROM_INT_C_TYPE x;
+ TO_INT_C_TYPE z;
+ int shift_amount;
+ memcpy (&x, &a, FROM_FIXED_SIZE);
+#if TO_FBITS > FROM_FBITS /* Need left shift. */
+ shift_amount = TO_FBITS - FROM_FBITS;
+ z = (TO_INT_C_TYPE) x;
+ z = z << shift_amount;
+#else /* TO_FBITS <= FROM_FBITS. Need right Shift. */
+ shift_amount = FROM_FBITS - TO_FBITS;
+ x = x >> shift_amount;
+ z = (TO_INT_C_TYPE) x;
+#endif /* TO_FBITS > FROM_FBITS */
+
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* FRACT && FROM_TYPE == 4 && TO_TYPE == 4 */
+
+/* Fixed -> Fixed with saturation. */
+#if defined(SATFRACT) && defined(L_satfract) && FROM_TYPE == 4 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+SATFRACT (FROM_FIXED_C_TYPE a)
+{
+ TO_FIXED_C_TYPE c;
+ TO_INT_C_TYPE z;
+ FROM_INT_C_TYPE x;
+#if FROM_MODE_UNSIGNED == 0
+ BIG_SINT_C_TYPE high, low;
+ BIG_SINT_C_TYPE max_high, max_low;
+ BIG_SINT_C_TYPE min_high, min_low;
+#else
+ BIG_UINT_C_TYPE high, low;
+ BIG_UINT_C_TYPE max_high, max_low;
+ BIG_UINT_C_TYPE min_high, min_low;
+#endif
+#if TO_FBITS > FROM_FBITS
+ BIG_UINT_C_TYPE utemp;
+#endif
+#if TO_MODE_UNSIGNED == 0
+ BIG_SINT_C_TYPE stemp;
+#endif
+#if TO_FBITS != FROM_FBITS
+ int shift_amount;
+#endif
+ memcpy (&x, &a, FROM_FIXED_SIZE);
+
+ /* Step 1. We need to store x to {high, low}. */
+#if FROM_MODE_UNSIGNED == 0
+ low = (BIG_SINT_C_TYPE) x;
+ if (x < 0)
+ high = -1;
+ else
+ high = 0;
+#else
+ low = (BIG_UINT_C_TYPE) x;
+ high = 0;
+#endif
+
+ /* Step 2. We need to shift {high, low}. */
+#if TO_FBITS > FROM_FBITS /* Left shift. */
+ shift_amount = TO_FBITS - FROM_FBITS;
+ utemp = (BIG_UINT_C_TYPE) low;
+ utemp = utemp >> (BIG_WIDTH - shift_amount);
+ high = ((BIG_UINT_C_TYPE)(high << shift_amount)) | utemp;
+ low = low << shift_amount;
+#elif TO_FBITS < FROM_FBITS /* Right shift. */
+ shift_amount = FROM_FBITS - TO_FBITS;
+ low = low >> shift_amount;
+#endif
+
+ /* Step 3. Compare {high, low} with max and min of TO_FIXED_C_TYPE. */
+ max_high = 0;
+#if BIG_WIDTH > TO_FIXED_WIDTH || TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS
+ max_low = (BIG_UINT_C_TYPE)1 << TO_I_F_BITS;
+ max_low = max_low - 1;
+#else
+ max_low = -1;
+#endif
+
+#if TO_MODE_UNSIGNED == 0
+ min_high = -1;
+ stemp = (BIG_SINT_C_TYPE)1 << (BIG_WIDTH - 1);
+ stemp = stemp >> (BIG_WIDTH - 1 - TO_I_F_BITS);
+ min_low = stemp;
+#else
+ min_high = 0;
+ min_low = 0;
+#endif
+
+#if FROM_MODE_UNSIGNED == 0 && TO_MODE_UNSIGNED == 0
+ /* Signed -> Signed. */
+ if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high
+ || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+ else if ((BIG_SINT_C_TYPE) high < (BIG_SINT_C_TYPE) min_high
+ || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) min_high
+ && (BIG_UINT_C_TYPE) low < (BIG_UINT_C_TYPE) min_low))
+ low = min_low; /* Minimum. */
+#elif FROM_MODE_UNSIGNED == 1 && TO_MODE_UNSIGNED == 1
+ /* Unigned -> Unsigned. */
+ if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high
+ || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+#elif FROM_MODE_UNSIGNED == 0 && TO_MODE_UNSIGNED == 1
+ /* Signed -> Unsigned. */
+ if (x < 0)
+ low = 0; /* Minimum. */
+ else if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high
+ || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+#elif FROM_MODE_UNSIGNED == 1 && TO_MODE_UNSIGNED == 0
+ /* Unsigned -> Signed. */
+ if ((BIG_SINT_C_TYPE) high < 0)
+ low = max_low; /* Maximum. */
+ else if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high
+ || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+#endif
+
+ /* Step 4. Store the result. */
+ z = (TO_INT_C_TYPE) low;
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(SATFRACT) && FROM_TYPE == 4 && TO_TYPE == 4 */
+
+/* Fixed -> Int. */
+#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 4 && TO_TYPE == 1
+TO_INT_C_TYPE
+FRACT (FROM_FIXED_C_TYPE a)
+{
+ FROM_INT_C_TYPE x;
+ TO_INT_C_TYPE z;
+ FROM_INT_C_TYPE i = 0;
+ memcpy (&x, &a, FROM_FIXED_SIZE);
+
+#if FROM_MODE_UNSIGNED == 0
+ if (x < 0)
+ {
+#if FROM_FIXED_WIDTH == FROM_FBITS
+ if (x != 0)
+ i = 1;
+#else
+ if (((FROM_INT_C_TYPE)(x << (FROM_FIXED_WIDTH - FROM_FBITS))) != 0)
+ i = 1;
+#endif
+ }
+#endif
+
+#if FROM_FIXED_WIDTH == FROM_FBITS
+ x = 0;
+#else
+ x = x >> FROM_FBITS;
+#endif
+ x = x + i;
+ z = (TO_INT_C_TYPE) x;
+ return z;
+}
+#endif /* defined(FRACT) && FROM_TYPE == 4 && TO_TYPE == 1 */
+
+/* Fixed -> Unsigned int. */
+#if defined(FRACTUNS) && defined(L_fractuns) && FROM_TYPE == 4 && TO_TYPE == 2
+TO_INT_C_TYPE
+FRACTUNS (FROM_FIXED_C_TYPE a)
+{
+ FROM_INT_C_TYPE x;
+ TO_INT_C_TYPE z;
+ FROM_INT_C_TYPE i = 0;
+ memcpy (&x, &a, FROM_FIXED_SIZE);
+
+#if FROM_MODE_UNSIGNED == 0
+ if (x < 0)
+ {
+#if FROM_FIXED_WIDTH == FROM_FBITS
+ if (x != 0)
+ i = 1;
+#else
+ if (((FROM_INT_C_TYPE)(x << (FROM_FIXED_WIDTH - FROM_FBITS))) != 0)
+ i = 1;
+#endif
+ }
+#endif
+
+#if FROM_FIXED_WIDTH == FROM_FBITS
+ x = 0;
+#else
+ x = x >> FROM_FBITS;
+#endif
+ x = x + i;
+ z = (TO_INT_C_TYPE) x;
+ return z;
+}
+#endif /* defined(FRACTUNS) && FROM_TYPE == 4 && TO_TYPE == 2 */
+
+/* Int -> Fixed. */
+#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 1 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+FRACT (FROM_INT_C_TYPE a)
+{
+ TO_FIXED_C_TYPE c;
+ TO_INT_C_TYPE z;
+ z = (TO_INT_C_TYPE) a;
+#if TO_FIXED_WIDTH == TO_FBITS
+ z = 0;
+#else
+ z = z << TO_FBITS;
+#endif
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(FRACT) && FROM_TYPE == 1 && TO_TYPE == 4 */
+
+/* Signed int -> Fixed with saturation. */
+#if defined(SATFRACT) && defined(L_satfract) &&FROM_TYPE == 1 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+SATFRACT (FROM_INT_C_TYPE a)
+{
+ TO_FIXED_C_TYPE c;
+ TO_INT_C_TYPE z;
+ FROM_INT_C_TYPE x = a;
+ BIG_SINT_C_TYPE high, low;
+ BIG_SINT_C_TYPE max_high, max_low;
+ BIG_SINT_C_TYPE min_high, min_low;
+#if TO_MODE_UNSIGNED == 0
+ BIG_SINT_C_TYPE stemp;
+#endif
+#if BIG_WIDTH != TO_FBITS
+ BIG_UINT_C_TYPE utemp;
+ int shift_amount;
+#endif
+
+ /* Step 1. We need to store x to {high, low}. */
+ low = (BIG_SINT_C_TYPE) x;
+ if (x < 0)
+ high = -1;
+ else
+ high = 0;
+
+ /* Step 2. We need to left shift {high, low}. */
+#if BIG_WIDTH == TO_FBITS
+ high = low;
+ low = 0;
+#else
+ shift_amount = TO_FBITS;
+ utemp = (BIG_UINT_C_TYPE) low;
+ utemp = utemp >> (BIG_WIDTH - shift_amount);
+ high = ((BIG_UINT_C_TYPE)(high << shift_amount)) | utemp;
+ low = low << shift_amount;
+#endif
+
+ /* Step 3. Compare {high, low} with max and min of TO_FIXED_C_TYPE. */
+ max_high = 0;
+#if BIG_WIDTH > TO_FIXED_WIDTH || TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS
+ max_low = (BIG_UINT_C_TYPE)1 << TO_I_F_BITS;
+ max_low = max_low - 1;
+#else
+ max_low = -1;
+#endif
+
+#if TO_MODE_UNSIGNED == 0
+ min_high = -1;
+ stemp = (BIG_SINT_C_TYPE)1 << (BIG_WIDTH - 1);
+ stemp = stemp >> (BIG_WIDTH - 1 - TO_I_F_BITS);
+ min_low = stemp;
+#else
+ min_high = 0;
+ min_low = 0;
+#endif
+
+#if TO_MODE_UNSIGNED == 0
+ /* Signed -> Signed. */
+ if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high
+ || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+ else if ((BIG_SINT_C_TYPE) high < (BIG_SINT_C_TYPE) min_high
+ || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) min_high
+ && (BIG_UINT_C_TYPE) low < (BIG_UINT_C_TYPE) min_low))
+ low = min_low; /* Minimum. */
+#else
+ /* Signed -> Unsigned. */
+ if (x < 0)
+ low = 0; /* Minimum. */
+ else if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high
+ || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+#endif
+
+ /* Step 4. Store the result. */
+ z = (TO_INT_C_TYPE) low;
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(SATFRACT) && FROM_TYPE == 1 && TO_TYPE == 4 */
+
+/* Unsigned int -> Fixed. */
+#if defined(FRACTUNS) && defined(L_fractuns) &&FROM_TYPE == 2 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+FRACTUNS (FROM_INT_C_TYPE a)
+{
+ TO_FIXED_C_TYPE c;
+ TO_INT_C_TYPE z;
+ z = (TO_INT_C_TYPE) a;
+#if TO_FIXED_WIDTH == TO_FBITS
+ z = 0;
+#else
+ z = z << TO_FBITS;
+#endif
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(FRACTUNS) && FROM_TYPE == 2 && TO_TYPE == 4 */
+
+/* Unsigned int -> Fixed with saturation. */
+#if defined(SATFRACTUNS) && defined(L_satfractuns) && FROM_TYPE == 2 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+SATFRACTUNS (FROM_INT_C_TYPE a)
+{
+ TO_FIXED_C_TYPE c;
+ TO_INT_C_TYPE z;
+ FROM_INT_C_TYPE x = a;
+ BIG_UINT_C_TYPE high, low;
+ BIG_UINT_C_TYPE max_high, max_low;
+#if BIG_WIDTH != TO_FBITS
+ BIG_UINT_C_TYPE utemp;
+ int shift_amount;
+#endif
+
+ /* Step 1. We need to store x to {high, low}. */
+ low = (BIG_UINT_C_TYPE) x;
+ high = 0;
+
+ /* Step 2. We need to left shift {high, low}. */
+#if BIG_WIDTH == TO_FBITS
+ high = low;
+ low = 0;
+#else
+ shift_amount = TO_FBITS;
+ utemp = (BIG_UINT_C_TYPE) low;
+ utemp = utemp >> (BIG_WIDTH - shift_amount);
+ high = ((BIG_UINT_C_TYPE)(high << shift_amount)) | utemp;
+ low = low << shift_amount;
+#endif
+
+ /* Step 3. Compare {high, low} with max and min of TO_FIXED_C_TYPE. */
+ max_high = 0;
+#if BIG_WIDTH > TO_FIXED_WIDTH || TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS
+ max_low = (BIG_UINT_C_TYPE)1 << TO_I_F_BITS;
+ max_low = max_low - 1;
+#else
+ max_low = -1;
+#endif
+
+#if TO_MODE_UNSIGNED == 1
+ /* Unigned -> Unsigned. */
+ if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high
+ || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+#else
+ /* Unsigned -> Signed. */
+ if ((BIG_SINT_C_TYPE) high < 0)
+ low = max_low; /* Maximum. */
+ else if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high
+ || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high
+ && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low))
+ low = max_low; /* Maximum. */
+#endif
+
+ /* Step 4. Store the result. */
+ z = (TO_INT_C_TYPE) low;
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(SATFRACTUNS) && FROM_TYPE == 2 && TO_TYPE == 4 */
+
+/* Fixed -> Float. */
+#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 4 && TO_TYPE == 3
+TO_FLOAT_C_TYPE
+FRACT (FROM_FIXED_C_TYPE a)
+{
+ FROM_INT_C_TYPE x;
+ TO_FLOAT_C_TYPE z;
+ memcpy (&x, &a, FROM_FIXED_SIZE);
+ z = (TO_FLOAT_C_TYPE) x;
+ z = z / BASE;
+ return z;
+}
+#endif /* defined(FRACT) && FROM_TYPE == 4 && TO_TYPE == 3 */
+
+/* Float -> Fixed. */
+#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 3 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+FRACT (FROM_FLOAT_C_TYPE a)
+{
+ FROM_FLOAT_C_TYPE temp;
+ TO_INT_C_TYPE z;
+ TO_FIXED_C_TYPE c;
+
+ temp = a * BASE;
+ z = (TO_INT_C_TYPE) temp;
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(FRACT) && FROM_TYPE == 3 && TO_TYPE == 4 */
+
+/* Float -> Fixed with saturation. */
+#if defined(SATFRACT) && defined(L_satfract) && FROM_TYPE == 3 && TO_TYPE == 4
+TO_FIXED_C_TYPE
+SATFRACT (FROM_FLOAT_C_TYPE a)
+{
+ FROM_FLOAT_C_TYPE temp;
+ TO_INT_C_TYPE z;
+ TO_FIXED_C_TYPE c;
+
+ if (a >= FIXED_MAX)
+ {
+#if TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS
+ z = (TO_INT_C_TYPE)1 << TO_I_F_BITS;
+ z = z - 1;
+#else
+ z = -1;
+#endif
+ }
+ else if (a <= FIXED_MIN)
+ {
+#if TO_MODE_UNSIGNED == 0
+ z = (TO_INT_C_TYPE)1 << TO_I_F_BITS;
+#else
+ z = 0;
+#endif
+ }
+ else
+ {
+ temp = a * BASE;
+ z = (TO_INT_C_TYPE) temp;
+ }
+
+#if TO_HAVE_PADDING_BITS
+ z = z << TO_PADDING_BITS;
+ z = z >> TO_PADDING_BITS;
+#endif
+ memcpy (&c, &z, TO_FIXED_SIZE);
+ return c;
+}
+#endif /* defined(SATFRACT) && FROM_TYPE == 3 && TO_TYPE == 4 */
+
--- /dev/null
+/* This is a software fixed-point library.
+ Copyright (C) 2007 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file. (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC 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 General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING. If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA. */
+
+#ifndef _FIXED_BIT_H
+#define _FIXED_BIT_H
+
+/* To use this file we need to define one of the following:
+ QQ_MODE, UQQ_MODE, HQ_MODE, UHQ_MODE, SQ_MODE, USQ_MODE, DQ_MODE, UDQ_MODE,
+ TQ_MODE, UTQ_MODE, HA_MODE, UHA_MODE, SA_MODE, USA_MODE, DA_MODE, UDA_MODE,
+ TA_MODE, UTA_MODE.
+ Then, all operators for this machine mode will be created.
+
+ Or, we need to define FROM_* TO_* for conversions from one mode to another
+ mode. The mode could be one of the following:
+ Fract: QQ, UQQ, HQ, UHQ, SQ, USQ, DQ, UDQ, TQ, UTQ
+ Accum: HA, UHA, SA, USA, DA, UDA, TA, UTA
+ Signed integer: QI, HI, SI, DI, TI
+ Unsigned integer: UQI, UHI, USI, UDI, UTI
+ Floating-point: SF, DF
+ Ex: If we define FROM_QQ and TO_SI, the conversion from QQ to SI is
+ generated. */
+
+/* Permit the tm.h file to select the endianness to use just for this
+ file. This is used when the endianness is determined when the
+ compiler is run. */
+
+#ifndef LIBGCC2_WORDS_BIG_ENDIAN
+#define LIBGCC2_WORDS_BIG_ENDIAN WORDS_BIG_ENDIAN
+#endif
+
+#ifndef LIBGCC2_DOUBLE_TYPE_SIZE
+#define LIBGCC2_DOUBLE_TYPE_SIZE DOUBLE_TYPE_SIZE
+#endif
+#ifndef LIBGCC2_LONG_DOUBLE_TYPE_SIZE
+#define LIBGCC2_LONG_DOUBLE_TYPE_SIZE LONG_DOUBLE_TYPE_SIZE
+#endif
+
+#ifndef LIBGCC2_HAS_SF_MODE
+#define LIBGCC2_HAS_SF_MODE (BITS_PER_UNIT == 8)
+#endif
+
+#ifndef LIBGCC2_HAS_DF_MODE
+#define LIBGCC2_HAS_DF_MODE \
+ (BITS_PER_UNIT == 8 \
+ && (LIBGCC2_DOUBLE_TYPE_SIZE == 64 \
+ || LIBGCC2_LONG_DOUBLE_TYPE_SIZE == 64))
+#endif
+
+typedef int QItype __attribute__ ((mode (QI)));
+typedef unsigned int UQItype __attribute__ ((mode (QI)));
+typedef int HItype __attribute__ ((mode (HI)));
+typedef unsigned int UHItype __attribute__ ((mode (HI)));
+typedef _Fract QQtype __attribute__ ((mode (QQ)));
+typedef unsigned _Fract UQQtype __attribute__ ((mode (UQQ)));
+typedef _Fract HQtype __attribute__ ((mode (HQ)));
+typedef unsigned _Fract UHQtype __attribute__ ((mode (UHQ)));
+typedef _Fract HAtype __attribute__ ((mode (HA)));
+typedef unsigned _Fract UHAtype __attribute__ ((mode (UHA)));
+#define HAVE_QQ 1
+#define HAVE_UQQ 1
+#define HAVE_HQ 1
+#define HAVE_UHQ 1
+#define HAVE_HA 1
+#define HAVE_UHA 1
+#define HAVE_QI 1
+#define HAVE_UQI 1
+#define HAVE_HI 1
+#define HAVE_UHI 1
+#if MIN_UNITS_PER_WORD > 1
+/* These typedefs are usually forbidden on dsp's with UNITS_PER_WORD 1. */
+typedef int SItype __attribute__ ((mode (SI)));
+typedef unsigned int USItype __attribute__ ((mode (SI)));
+typedef _Fract SQtype __attribute__ ((mode (SQ)));
+typedef unsigned _Fract USQtype __attribute__ ((mode (USQ)));
+typedef _Fract SAtype __attribute__ ((mode (SA)));
+typedef unsigned _Fract USAtype __attribute__ ((mode (USA)));
+#define HAVE_SQ 1
+#define HAVE_USQ 1
+#define HAVE_SA 1
+#define HAVE_USA 1
+#define HAVE_SI 1
+#define HAVE_USI 1
+#if LONG_LONG_TYPE_SIZE > 32
+/* These typedefs are usually forbidden on archs with UNITS_PER_WORD 2. */
+typedef int DItype __attribute__ ((mode (DI)));
+typedef unsigned int UDItype __attribute__ ((mode (DI)));
+typedef _Fract DQtype __attribute__ ((mode (DQ)));
+typedef unsigned _Fract UDQtype __attribute__ ((mode (UDQ)));
+typedef _Fract DAtype __attribute__ ((mode (DA)));
+typedef unsigned _Fract UDAtype __attribute__ ((mode (UDA)));
+#define HAVE_DQ 1
+#define HAVE_UDQ 1
+#define HAVE_DA 1
+#define HAVE_UDA 1
+#define HAVE_DI 1
+#define HAVE_UDI 1
+#if MIN_UNITS_PER_WORD > 4
+/* These typedefs are usually forbidden on archs with UNITS_PER_WORD 4. */
+typedef int TItype __attribute__ ((mode (TI)));
+typedef unsigned int UTItype __attribute__ ((mode (TI)));
+typedef _Fract TQtype __attribute__ ((mode (TQ)));
+typedef unsigned _Fract UTQtype __attribute__ ((mode (UTQ)));
+typedef _Fract TAtype __attribute__ ((mode (TA)));
+typedef unsigned _Fract UTAtype __attribute__ ((mode (UTA)));
+#define HAVE_TQ 1
+#define HAVE_UTQ 1
+#define HAVE_TA 1
+#define HAVE_UTA 1
+#define HAVE_TI 1
+#define HAVE_UTI 1
+#endif
+#endif
+#endif
+
+#if LIBGCC2_HAS_SF_MODE
+typedef float SFtype __attribute__ ((mode (SF)));
+#define HAVE_SF 1
+#endif
+#if LIBGCC2_HAS_DF_MODE
+typedef float DFtype __attribute__ ((mode (DF)));
+#define HAVE_DF 1
+#endif
+
+typedef int word_type __attribute__ ((mode (__word__)));
+
+/* Based on modes, we create many defines. */
+
+#if defined (QQ_MODE) && (HAVE_QQ == 1)
+#define FIXED_SIZE 1 /* in bytes. */
+#define INT_C_TYPE QItype
+#define UINT_C_TYPE UQItype
+#define DINT_C_TYPE HItype
+#define DUINT_C_TYPE UHItype
+#define MODE_NAME QQ
+#define MODE_NAME_S qq
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UQQ_MODE) && (HAVE_UQQ == 1)
+#define FIXED_SIZE 1 /* in bytes. */
+#define INT_C_TYPE UQItype
+#define UINT_C_TYPE UQItype
+#define DINT_C_TYPE UHItype
+#define DUINT_C_TYPE UHItype
+#define MODE_NAME UQQ
+#define MODE_NAME_S uqq
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (HQ_MODE) && (HAVE_HQ == 1)
+#define FIXED_SIZE 2 /* in bytes. */
+#define INT_C_TYPE HItype
+#define UINT_C_TYPE UHItype
+
+#if HAVE_SI == 1
+#define DINT_C_TYPE SItype
+#define DUINT_C_TYPE USItype
+#else
+#define HINT_C_TYPE QItype
+#define HUINT_C_TYPE UQItype
+#endif
+
+#define MODE_NAME HQ
+#define MODE_NAME_S hq
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UHQ_MODE) && (HAVE_UHQ == 1)
+#define FIXED_SIZE 2 /* in bytes. */
+#define INT_C_TYPE UHItype
+#define UINT_C_TYPE UHItype
+
+#if HAVE_SI == 1
+#define DINT_C_TYPE USItype
+#define DUINT_C_TYPE USItype
+#else
+#define HINT_C_TYPE UQItype
+#define HUINT_C_TYPE UQItype
+#endif
+
+#define MODE_NAME UHQ
+#define MODE_NAME_S uhq
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (SQ_MODE) && (HAVE_SQ == 1)
+#define FIXED_SIZE 4 /* in bytes. */
+#define INT_C_TYPE SItype
+#define UINT_C_TYPE USItype
+
+#if HAVE_DI == 1
+#define DINT_C_TYPE DItype
+#define DUINT_C_TYPE UDItype
+#else
+#define HINT_C_TYPE HItype
+#define HUINT_C_TYPE UHItype
+#endif
+
+#define MODE_NAME SQ
+#define MODE_NAME_S sq
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (USQ_MODE) && (HAVE_USQ == 1)
+#define FIXED_SIZE 4 /* in bytes. */
+#define INT_C_TYPE USItype
+#define UINT_C_TYPE USItype
+
+#if HAVE_DI == 1
+#define DINT_C_TYPE UDItype
+#define DUINT_C_TYPE UDItype
+#else
+#define HINT_C_TYPE UHItype
+#define HUINT_C_TYPE UHItype
+#endif
+
+#define MODE_NAME USQ
+#define MODE_NAME_S usq
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (DQ_MODE) && (HAVE_DQ == 1)
+#define FIXED_SIZE 8 /* in bytes. */
+#define INT_C_TYPE DItype
+#define UINT_C_TYPE UDItype
+
+#if HAVE_TI == 1
+#define DINT_C_TYPE TItype
+#define DUINT_C_TYPE UTItype
+#else
+#define HINT_C_TYPE SItype
+#define HUINT_C_TYPE USItype
+#endif
+
+#define MODE_NAME DQ
+#define MODE_NAME_S dq
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UDQ_MODE) && (HAVE_UDQ == 1)
+#define FIXED_SIZE 8 /* in bytes. */
+#define INT_C_TYPE UDItype
+#define UINT_C_TYPE UDItype
+
+#if HAVE_TI == 1
+#define DINT_C_TYPE UTItype
+#define DUINT_C_TYPE UTItype
+#else
+#define HINT_C_TYPE USItype
+#define HUINT_C_TYPE USItype
+#endif
+
+#define MODE_NAME UDQ
+#define MODE_NAME_S udq
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (TQ_MODE) && (HAVE_TQ == 1)
+#define FIXED_SIZE 16 /* in bytes. */
+#define INT_C_TYPE TItype
+#define UINT_C_TYPE UTItype
+#define HINT_C_TYPE DItype
+#define HUINT_C_TYPE UDItype
+#define MODE_NAME TQ
+#define MODE_NAME_S tq
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UTQ_MODE) && (HAVE_UTQ == 1)
+#define FIXED_SIZE 16 /* in bytes. */
+#define INT_C_TYPE UTItype
+#define UINT_C_TYPE UTItype
+#define HINT_C_TYPE UDItype
+#define HUINT_C_TYPE UDItype
+#define MODE_NAME UTQ
+#define MODE_NAME_S utq
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (HA_MODE) && (HAVE_HA == 1)
+#define FIXED_SIZE 2 /* in bytes. */
+#define INT_C_TYPE HItype
+#define UINT_C_TYPE UHItype
+
+#if HAVE_SI == 1
+#define DINT_C_TYPE SItype
+#define DUINT_C_TYPE USItype
+#else
+#define HINT_C_TYPE QItype
+#define HUINT_C_TYPE UQItype
+#endif
+
+#define MODE_NAME HA
+#define MODE_NAME_S ha
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UHA_MODE) && (HAVE_UHA == 1)
+#define FIXED_SIZE 2 /* in bytes. */
+#define INT_C_TYPE UHItype
+#define UINT_C_TYPE UHItype
+
+#if HAVE_SI == 1
+#define DINT_C_TYPE USItype
+#define DUINT_C_TYPE USItype
+#else
+#define HINT_C_TYPE UQItype
+#define HUINT_C_TYPE UQItype
+#endif
+
+#define MODE_NAME UHA
+#define MODE_NAME_S uha
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (SA_MODE) && (HAVE_SA == 1)
+#define FIXED_SIZE 4 /* in bytes. */
+#define INT_C_TYPE SItype
+#define UINT_C_TYPE USItype
+
+#if HAVE_DI == 1
+#define DINT_C_TYPE DItype
+#define DUINT_C_TYPE UDItype
+#else
+#define HINT_C_TYPE HItype
+#define HUINT_C_TYPE UHItype
+#endif
+
+#define MODE_NAME SA
+#define MODE_NAME_S sa
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (USA_MODE) && (HAVE_USA == 1)
+#define FIXED_SIZE 4 /* in bytes. */
+#define INT_C_TYPE USItype
+#define UINT_C_TYPE USItype
+
+#if HAVE_DI == 1
+#define DINT_C_TYPE UDItype
+#define DUINT_C_TYPE UDItype
+#else
+#define HINT_C_TYPE UHItype
+#define HUINT_C_TYPE UHItype
+#endif
+
+#define MODE_NAME USA
+#define MODE_NAME_S usa
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (DA_MODE) && (HAVE_DA == 1)
+#define FIXED_SIZE 8 /* in bytes. */
+#define INT_C_TYPE DItype
+#define UINT_C_TYPE UDItype
+
+#if HAVE_TI == 1
+#define DINT_C_TYPE TItype
+#define DUINT_C_TYPE UTItype
+#else
+#define HINT_C_TYPE SItype
+#define HUINT_C_TYPE USItype
+#endif
+
+#define MODE_NAME DA
+#define MODE_NAME_S da
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UDA_MODE) && (HAVE_UDA == 1)
+#define FIXED_SIZE 8 /* in bytes. */
+#define INT_C_TYPE UDItype
+#define UINT_C_TYPE UDItype
+
+#if HAVE_TI == 1
+#define DINT_C_TYPE UTItype
+#define DUINT_C_TYPE UTItype
+#else
+#define HINT_C_TYPE USItype
+#define HUINT_C_TYPE USItype
+#endif
+
+#define MODE_NAME UDA
+#define MODE_NAME_S uda
+#define MODE_UNSIGNED 1
+#endif
+
+#if defined (TA_MODE) && (HAVE_TA == 1)
+#define FIXED_SIZE 16 /* in bytes. */
+#define INT_C_TYPE TItype
+#define UINT_C_TYPE UTItype
+#define HINT_C_TYPE DItype
+#define HUINT_C_TYPE UDItype
+#define MODE_NAME TA
+#define MODE_NAME_S ta
+#define MODE_UNSIGNED 0
+#endif
+
+#if defined (UTA_MODE) && (HAVE_UTA == 1)
+#define FIXED_SIZE 16 /* in bytes. */
+#define INT_C_TYPE UTItype
+#define UINT_C_TYPE UTItype
+#define HINT_C_TYPE UDItype
+#define HUINT_C_TYPE UDItype
+#define MODE_NAME UTA
+#define MODE_NAME_S uta
+#define MODE_UNSIGNED 1
+#endif
+
+/* The following defines are based on the previous defines. */
+
+#if defined (HINT_C_TYPE)
+#if LIBGCC2_WORDS_BIG_ENDIAN
+ struct INTstruct {HINT_C_TYPE high, low;};
+#else
+ struct INTstruct {HINT_C_TYPE low, high;};
+#endif
+
+typedef union
+{
+ struct INTstruct s;
+ INT_C_TYPE ll;
+} INTunion;
+#endif
+
+#define FIXED_WIDTH (FIXED_SIZE * BITS_PER_UNIT) /* in bits. */
+#define FIXED_C_TYPE1(NAME) NAME ## type
+#define FIXED_C_TYPE2(NAME) FIXED_C_TYPE1(NAME)
+#define FIXED_C_TYPE FIXED_C_TYPE2(MODE_NAME)
+#define FBITS1(NAME) __ ## NAME ## _FBIT__
+#define FBITS2(NAME) FBITS1(NAME)
+#define FBITS FBITS2(MODE_NAME)
+#define IBITS1(NAME) __ ## NAME ## _IBIT__
+#define IBITS2(NAME) IBITS1(NAME)
+#define IBITS IBITS2(MODE_NAME)
+#define I_F_BITS (FBITS + IBITS)
+
+#define FIXED_OP(OP,MODE,NUM) OP ## MODE ## NUM
+
+#define FIXED_SATURATE1_TEMP(NAME) FIXED_OP(__saturate1,NAME,)
+#define FIXED_SATURATE2_TEMP(NAME) FIXED_OP(__saturate2,NAME,)
+#define FIXED_MULHELPER_TEMP(NAME) FIXED_OP(__mulhelper,NAME,)
+#define FIXED_DIVHELPER_TEMP(NAME) FIXED_OP(__divhelper,NAME,)
+#define FIXED_ASHLHELPER_TEMP(NAME) FIXED_OP(__ashlhelper,NAME,)
+#define FIXED_ADD_TEMP(NAME) FIXED_OP(__add,NAME,3)
+#define FIXED_SSADD_TEMP(NAME) FIXED_OP(__ssadd,NAME,3)
+#define FIXED_USADD_TEMP(NAME) FIXED_OP(__usadd,NAME,3)
+#define FIXED_SUB_TEMP(NAME) FIXED_OP(__sub,NAME,3)
+#define FIXED_SSSUB_TEMP(NAME) FIXED_OP(__sssub,NAME,3)
+#define FIXED_USSUB_TEMP(NAME) FIXED_OP(__ussub,NAME,3)
+#define FIXED_MUL_TEMP(NAME) FIXED_OP(__mul,NAME,3)
+#define FIXED_SSMUL_TEMP(NAME) FIXED_OP(__ssmul,NAME,3)
+#define FIXED_USMUL_TEMP(NAME) FIXED_OP(__usmul,NAME,3)
+#define FIXED_DIV_TEMP(NAME) FIXED_OP(__div,NAME,3)
+#define FIXED_UDIV_TEMP(NAME) FIXED_OP(__udiv,NAME,3)
+#define FIXED_SSDIV_TEMP(NAME) FIXED_OP(__ssdiv,NAME,3)
+#define FIXED_USDIV_TEMP(NAME) FIXED_OP(__usdiv,NAME,3)
+#define FIXED_NEG_TEMP(NAME) FIXED_OP(__neg,NAME,2)
+#define FIXED_SSNEG_TEMP(NAME) FIXED_OP(__ssneg,NAME,2)
+#define FIXED_USNEG_TEMP(NAME) FIXED_OP(__usneg,NAME,2)
+#define FIXED_ASHL_TEMP(NAME) FIXED_OP(__ashl,NAME,3)
+#define FIXED_ASHR_TEMP(NAME) FIXED_OP(__ashr,NAME,3)
+#define FIXED_LSHR_TEMP(NAME) FIXED_OP(__lshr,NAME,3)
+#define FIXED_SSASHL_TEMP(NAME) FIXED_OP(__ssashl,NAME,3)
+#define FIXED_USASHL_TEMP(NAME) FIXED_OP(__usashl,NAME,3)
+#define FIXED_CMP_TEMP(NAME) FIXED_OP(__cmp,NAME,2)
+
+#if defined (MODE_NAME)
+#if defined (DINT_C_TYPE)
+#define FIXED_SATURATE1 FIXED_SATURATE1_TEMP(MODE_NAME_S)
+#else
+#define FIXED_SATURATE2 FIXED_SATURATE2_TEMP(MODE_NAME_S)
+#endif
+#define FIXED_MULHELPER FIXED_MULHELPER_TEMP(MODE_NAME_S)
+#define FIXED_DIVHELPER FIXED_DIVHELPER_TEMP(MODE_NAME_S)
+#define FIXED_ASHLHELPER FIXED_ASHLHELPER_TEMP(MODE_NAME_S)
+#define FIXED_ADD FIXED_ADD_TEMP(MODE_NAME_S)
+#define FIXED_SUB FIXED_SUB_TEMP(MODE_NAME_S)
+#define FIXED_MUL FIXED_MUL_TEMP(MODE_NAME_S)
+#define FIXED_NEG FIXED_NEG_TEMP(MODE_NAME_S)
+#define FIXED_ASHL FIXED_ASHL_TEMP(MODE_NAME_S)
+#define FIXED_CMP FIXED_CMP_TEMP(MODE_NAME_S)
+
+/* The following functions are for all fixed-point modes. */
+#if defined (DINT_C_TYPE)
+extern void FIXED_SATURATE1 (DINT_C_TYPE *);
+#else
+extern void FIXED_SATURATE2 (INT_C_TYPE *, INT_C_TYPE *);
+#endif
+extern FIXED_C_TYPE FIXED_MULHELPER (FIXED_C_TYPE, FIXED_C_TYPE, word_type);
+extern FIXED_C_TYPE FIXED_DIVHELPER (FIXED_C_TYPE, FIXED_C_TYPE, word_type);
+extern FIXED_C_TYPE FIXED_ASHLHELPER (FIXED_C_TYPE, word_type, word_type);
+extern FIXED_C_TYPE FIXED_ADD (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_SUB (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_MUL (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_NEG (FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_ASHL (FIXED_C_TYPE, word_type);
+extern word_type FIXED_CMP (FIXED_C_TYPE, FIXED_C_TYPE);
+#endif
+
+#if MODE_UNSIGNED == 0 /* Signed types. */
+#define PADDING_BITS (FIXED_WIDTH - 1 - I_F_BITS)
+#define NONPADDING_BITS (1 + I_F_BITS)
+
+#if defined (MODE_NAME)
+#define FIXED_DIV FIXED_DIV_TEMP(MODE_NAME_S)
+#define FIXED_ASHR FIXED_ASHR_TEMP(MODE_NAME_S)
+#define FIXED_SSADD FIXED_SSADD_TEMP(MODE_NAME_S)
+#define FIXED_SSSUB FIXED_SSSUB_TEMP(MODE_NAME_S)
+#define FIXED_SSMUL FIXED_SSMUL_TEMP(MODE_NAME_S)
+#define FIXED_SSDIV FIXED_SSDIV_TEMP(MODE_NAME_S)
+#define FIXED_SSNEG FIXED_SSNEG_TEMP(MODE_NAME_S)
+#define FIXED_SSASHL FIXED_SSASHL_TEMP(MODE_NAME_S)
+
+/* The following functions are for signed fixed-point modes. */
+extern FIXED_C_TYPE FIXED_DIV (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_ASHR (FIXED_C_TYPE, word_type);
+extern FIXED_C_TYPE FIXED_SSADD (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_SSSUB (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_SSMUL (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_SSDIV (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_SSNEG (FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_SSASHL (FIXED_C_TYPE, word_type);
+#endif
+
+#else /* Unsigned types. */
+#define PADDING_BITS (FIXED_WIDTH - I_F_BITS)
+#define NONPADDING_BITS (I_F_BITS)
+
+#if defined (MODE_NAME)
+#define FIXED_UDIV FIXED_UDIV_TEMP(MODE_NAME_S)
+#define FIXED_LSHR FIXED_LSHR_TEMP(MODE_NAME_S)
+#define FIXED_USDIV FIXED_USDIV_TEMP(MODE_NAME_S)
+#define FIXED_USADD FIXED_USADD_TEMP(MODE_NAME_S)
+#define FIXED_USSUB FIXED_USSUB_TEMP(MODE_NAME_S)
+#define FIXED_USMUL FIXED_USMUL_TEMP(MODE_NAME_S)
+#define FIXED_USNEG FIXED_USNEG_TEMP(MODE_NAME_S)
+#define FIXED_USASHL FIXED_USASHL_TEMP(MODE_NAME_S)
+
+/* The following functions are for unsigned fixed-point modes. */
+extern FIXED_C_TYPE FIXED_UDIV (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_LSHR (FIXED_C_TYPE, word_type);
+extern FIXED_C_TYPE FIXED_USADD (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_USSUB (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_USMUL (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_USDIV (FIXED_C_TYPE, FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_USNEG (FIXED_C_TYPE);
+extern FIXED_C_TYPE FIXED_USASHL (FIXED_C_TYPE, word_type);
+#endif
+
+#endif /* End of testing MODE_UNSIGNED. */
+
+/* This define is to check if this mode have any padding bits. */
+#define HAVE_PADDING_BITS (PADDING_BITS > 0)
+
+/* ------------------------------------------------------------------------ */
+/* The following defines are for conversions. */
+
+#if defined (FROM_QI) && HAVE_QI == 1
+#define FROM_TYPE 1 /* Signed integer. */
+#define FROM_INT_C_TYPE QItype
+#define FROM_SINT_C_TYPE QItype
+#define FROM_UINT_C_TYPE UQItype
+#define FROM_MODE_NAME_S qi
+#define FROM_INT_SIZE 1 /* in bytes. */
+
+#elif defined (FROM_HI) && HAVE_HI == 1
+#define FROM_TYPE 1 /* Signed integer. */
+#define FROM_INT_C_TYPE HItype
+#define FROM_SINT_C_TYPE HItype
+#define FROM_UINT_C_TYPE UHItype
+#define FROM_MODE_NAME_S hi
+#define FROM_INT_SIZE 2 /* in bytes. */
+
+#elif defined (FROM_SI) && HAVE_SI == 1
+#define FROM_TYPE 1 /* Signed integer. */
+#define FROM_INT_C_TYPE SItype
+#define FROM_SINT_C_TYPE SItype
+#define FROM_UINT_C_TYPE USItype
+#define FROM_MODE_NAME_S si
+#define FROM_INT_SIZE 4 /* in bytes. */
+
+#elif defined (FROM_DI) && HAVE_DI == 1
+#define FROM_TYPE 1 /* Signed integer. */
+#define FROM_INT_C_TYPE DItype
+#define FROM_SINT_C_TYPE DItype
+#define FROM_UINT_C_TYPE UDItype
+#define FROM_MODE_NAME_S di
+#define FROM_INT_SIZE 8 /* in bytes. */
+
+#elif defined (FROM_TI) && HAVE_TI == 1
+#define FROM_TYPE 1 /* Signed integer. */
+#define FROM_INT_C_TYPE TItype
+#define FROM_SINT_C_TYPE TItype
+#define FROM_UINT_C_TYPE UTItype
+#define FROM_MODE_NAME_S ti
+#define FROM_INT_SIZE 16 /* in bytes. */
+
+#elif defined (FROM_UQI) && HAVE_UQI == 1
+#define FROM_TYPE 2 /* Unsigned integer. */
+#define FROM_INT_C_TYPE QItype
+#define FROM_SINT_C_TYPE QItype
+#define FROM_UINT_C_TYPE UQItype
+#define FROM_MODE_NAME_S qi
+#define FROM_INT_SIZE 1 /* in bytes. */
+
+#elif defined (FROM_UHI) && HAVE_UHI == 1
+#define FROM_TYPE 2 /* Unsigned integer. */
+#define FROM_INT_C_TYPE UHItype
+#define FROM_SINT_C_TYPE HItype
+#define FROM_UINT_C_TYPE UHItype
+#define FROM_MODE_NAME_S hi
+#define FROM_INT_SIZE 2 /* in bytes. */
+
+#elif defined (FROM_USI) && HAVE_USI == 1
+#define FROM_TYPE 2 /* Unsigned integer. */
+#define FROM_INT_C_TYPE USItype
+#define FROM_SINT_C_TYPE SItype
+#define FROM_UINT_C_TYPE USItype
+#define FROM_MODE_NAME_S si
+#define FROM_INT_SIZE 4 /* in bytes. */
+
+#elif defined (FROM_UDI) && HAVE_UDI == 1
+#define FROM_TYPE 2 /* Unsigned integer. */
+#define FROM_INT_C_TYPE UDItype
+#define FROM_SINT_C_TYPE DItype
+#define FROM_UINT_C_TYPE UDItype
+#define FROM_MODE_NAME_S di
+#define FROM_INT_SIZE 8 /* in bytes. */
+
+#elif defined (FROM_UTI) && HAVE_UTI == 1
+#define FROM_TYPE 2 /* Unsigned integer. */
+#define FROM_INT_C_TYPE UTItype
+#define FROM_SINT_C_TYPE TItype
+#define FROM_UINT_C_TYPE UTItype
+#define FROM_MODE_NAME_S ti
+#define FROM_INT_SIZE 16 /* in bytes. */
+
+#elif defined (FROM_SF) && HAVE_SF == 1
+#define FROM_TYPE 3 /* Floating-point. */
+#define FROM_FLOAT_C_TYPE SFtype
+#define FROM_MODE_NAME_S sf
+
+#elif defined (FROM_DF) && HAVE_DF == 1
+#define FROM_TYPE 3 /* Floating-point. */
+#define FROM_FLOAT_C_TYPE DFtype
+#define FROM_MODE_NAME_S df
+
+#elif defined (FROM_QQ) && HAVE_QQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME QQ
+#define FROM_MODE_NAME_S qq
+#define FROM_INT_C_TYPE QItype
+#define FROM_SINT_C_TYPE QItype
+#define FROM_UINT_C_TYPE UQItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 1 /* in bytes. */
+
+#elif defined (FROM_HQ) && HAVE_HQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME HQ
+#define FROM_MODE_NAME_S hq
+#define FROM_INT_C_TYPE HItype
+#define FROM_SINT_C_TYPE HItype
+#define FROM_UINT_C_TYPE UHItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (FROM_SQ) && HAVE_SQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME SQ
+#define FROM_MODE_NAME_S sq
+#define FROM_INT_C_TYPE SItype
+#define FROM_SINT_C_TYPE SItype
+#define FROM_UINT_C_TYPE USItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (FROM_DQ) && HAVE_DQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME DQ
+#define FROM_MODE_NAME_S dq
+#define FROM_INT_C_TYPE DItype
+#define FROM_SINT_C_TYPE DItype
+#define FROM_UINT_C_TYPE UDItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (FROM_TQ) && HAVE_TQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME TQ
+#define FROM_MODE_NAME_S tq
+#define FROM_INT_C_TYPE TItype
+#define FROM_SINT_C_TYPE TItype
+#define FROM_UINT_C_TYPE UTItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 16 /* in bytes. */
+
+#elif defined (FROM_UQQ) && HAVE_UQQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UQQ
+#define FROM_MODE_NAME_S uqq
+#define FROM_INT_C_TYPE UQItype
+#define FROM_SINT_C_TYPE QItype
+#define FROM_UINT_C_TYPE UQItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 1 /* in bytes. */
+
+#elif defined (FROM_UHQ) && HAVE_UHQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UHQ
+#define FROM_MODE_NAME_S uhq
+#define FROM_INT_C_TYPE UHItype
+#define FROM_SINT_C_TYPE HItype
+#define FROM_UINT_C_TYPE UHItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (FROM_USQ) && HAVE_USQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME USQ
+#define FROM_MODE_NAME_S usq
+#define FROM_INT_C_TYPE USItype
+#define FROM_SINT_C_TYPE SItype
+#define FROM_UINT_C_TYPE USItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (FROM_UDQ) && HAVE_UDQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UDQ
+#define FROM_MODE_NAME_S udq
+#define FROM_INT_C_TYPE UDItype
+#define FROM_SINT_C_TYPE DItype
+#define FROM_UINT_C_TYPE UDItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (FROM_UTQ) && HAVE_UTQ == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UTQ
+#define FROM_MODE_NAME_S utq
+#define FROM_INT_C_TYPE UTItype
+#define FROM_SINT_C_TYPE TItype
+#define FROM_UINT_C_TYPE UTItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 16 /* in bytes. */
+
+#elif defined (FROM_HA) && HAVE_HA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME HA
+#define FROM_MODE_NAME_S ha
+#define FROM_INT_C_TYPE HItype
+#define FROM_SINT_C_TYPE HItype
+#define FROM_UINT_C_TYPE UHItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (FROM_SA) && HAVE_SA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME SA
+#define FROM_MODE_NAME_S sa
+#define FROM_INT_C_TYPE SItype
+#define FROM_SINT_C_TYPE SItype
+#define FROM_UINT_C_TYPE USItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (FROM_DA) && HAVE_DA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME DA
+#define FROM_MODE_NAME_S da
+#define FROM_INT_C_TYPE DItype
+#define FROM_SINT_C_TYPE DItype
+#define FROM_UINT_C_TYPE UDItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (FROM_TA) && HAVE_TA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME TA
+#define FROM_MODE_NAME_S ta
+#define FROM_INT_C_TYPE TItype
+#define FROM_SINT_C_TYPE TItype
+#define FROM_UINT_C_TYPE UTItype
+#define FROM_MODE_UNSIGNED 0
+#define FROM_FIXED_SIZE 16 /* in bytes. */
+
+#elif defined (FROM_UHA) && HAVE_UHA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UHA
+#define FROM_MODE_NAME_S uha
+#define FROM_INT_C_TYPE UHItype
+#define FROM_SINT_C_TYPE HItype
+#define FROM_UINT_C_TYPE UHItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (FROM_USA) && HAVE_USA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME USA
+#define FROM_MODE_NAME_S usa
+#define FROM_INT_C_TYPE USItype
+#define FROM_SINT_C_TYPE SItype
+#define FROM_UINT_C_TYPE USItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (FROM_UDA) && HAVE_UDA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UDA
+#define FROM_MODE_NAME_S uda
+#define FROM_INT_C_TYPE UDItype
+#define FROM_SINT_C_TYPE DItype
+#define FROM_UINT_C_TYPE UDItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (FROM_UTA) && HAVE_UTA == 1
+#define FROM_TYPE 4 /* Fixed-point. */
+#define FROM_MODE_NAME UTA
+#define FROM_MODE_NAME_S uta
+#define FROM_INT_C_TYPE UTItype
+#define FROM_SINT_C_TYPE TItype
+#define FROM_UINT_C_TYPE UTItype
+#define FROM_MODE_UNSIGNED 1
+#define FROM_FIXED_SIZE 16 /* in bytes. */
+
+#endif
+
+#if defined (TO_QI) && HAVE_QI == 1 && !defined (FROM_QI)
+#define TO_TYPE 1 /* Signed integer. */
+#define TO_INT_C_TYPE QItype
+#define TO_SINT_C_TYPE QItype
+#define TO_UINT_C_TYPE UQItype
+#define TO_MODE_NAME_S qi
+
+#elif defined (TO_HI) && HAVE_HI == 1 && !defined (FROM_HI)
+#define TO_TYPE 1 /* Signed integer. */
+#define TO_INT_C_TYPE HItype
+#define TO_SINT_C_TYPE HItype
+#define TO_UINT_C_TYPE UHItype
+#define TO_MODE_NAME_S hi
+
+#elif defined (TO_SI) && HAVE_SI == 1 && !defined (FROM_SI)
+#define TO_TYPE 1 /* Signed integer. */
+#define TO_INT_C_TYPE SItype
+#define TO_SINT_C_TYPE SItype
+#define TO_UINT_C_TYPE USItype
+#define TO_MODE_NAME_S si
+
+#elif defined (TO_DI) && HAVE_DI == 1 && !defined (FROM_DI)
+#define TO_TYPE 1 /* Signed integer. */
+#define TO_INT_C_TYPE DItype
+#define TO_SINT_C_TYPE DItype
+#define TO_UINT_C_TYPE UDItype
+#define TO_MODE_NAME_S di
+
+#elif defined (TO_TI) && HAVE_TI == 1 && !defined (FROM_TI)
+#define TO_TYPE 1 /* Signed integer. */
+#define TO_INT_C_TYPE TItype
+#define TO_SINT_C_TYPE TItype
+#define TO_UINT_C_TYPE UTItype
+#define TO_MODE_NAME_S ti
+
+#elif defined (TO_UQI) && HAVE_UQI == 1 && !defined (FROM_UQI)
+#define TO_TYPE 2 /* Unsigned integer. */
+#define TO_INT_C_TYPE UQItype
+#define TO_SINT_C_TYPE QItype
+#define TO_UINT_C_TYPE UQItype
+#define TO_MODE_NAME_S qi
+
+#elif defined (TO_UHI) && HAVE_UHI == 1 && !defined (FROM_UHI)
+#define TO_TYPE 2 /* Unsigned integer. */
+#define TO_INT_C_TYPE UHItype
+#define TO_SINT_C_TYPE HItype
+#define TO_UINT_C_TYPE UHItype
+#define TO_MODE_NAME_S hi
+
+#elif defined (TO_USI) && HAVE_USI == 1 && !defined (FROM_USI)
+#define TO_TYPE 2 /* Unsigned integer. */
+#define TO_INT_C_TYPE USItype
+#define TO_SINT_C_TYPE SItype
+#define TO_UINT_C_TYPE USItype
+#define TO_MODE_NAME_S si
+
+#elif defined (TO_UDI) && HAVE_UDI == 1 && !defined (FROM_UDI)
+#define TO_TYPE 2 /* Unsigned integer. */
+#define TO_INT_C_TYPE UDItype
+#define TO_SINT_C_TYPE DItype
+#define TO_UINT_C_TYPE UDItype
+#define TO_MODE_NAME_S di
+
+#elif defined (TO_UTI) && HAVE_UTI == 1 && !defined (FROM_UTI)
+#define TO_TYPE 2 /* Unsigned integer. */
+#define TO_INT_C_TYPE UTItype
+#define TO_SINT_C_TYPE TItype
+#define TO_UINT_C_TYPE UTItype
+#define TO_MODE_NAME_S ti
+
+#elif defined (TO_SF) && HAVE_SF == 1 && !defined (FROM_SF)
+#define TO_TYPE 3 /* Floating-point. */
+#define TO_FLOAT_C_TYPE SFtype
+#define TO_MODE_NAME_S sf
+
+#elif defined (TO_DF) && HAVE_DF == 1 && !defined (FROM_DF)
+#define TO_TYPE 3 /* Floating-point. */
+#define TO_FLOAT_C_TYPE DFtype
+#define TO_MODE_NAME_S df
+
+#elif defined (TO_QQ) && HAVE_QQ == 1 && !defined (FROM_QQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME QQ
+#define TO_MODE_NAME_S qq
+#define TO_INT_C_TYPE QItype
+#define TO_SINT_C_TYPE QItype
+#define TO_UINT_C_TYPE UQItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 1 /* in bytes. */
+
+#elif defined (TO_HQ) && HAVE_HQ == 1 && !defined (FROM_HQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME HQ
+#define TO_MODE_NAME_S hq
+#define TO_INT_C_TYPE HItype
+#define TO_SINT_C_TYPE HItype
+#define TO_UINT_C_TYPE UHItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (TO_SQ) && HAVE_SQ == 1 && !defined (FROM_SQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME SQ
+#define TO_MODE_NAME_S sq
+#define TO_INT_C_TYPE SItype
+#define TO_SINT_C_TYPE SItype
+#define TO_UINT_C_TYPE USItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (TO_DQ) && HAVE_DQ == 1 && !defined (FROM_DQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME DQ
+#define TO_MODE_NAME_S dq
+#define TO_INT_C_TYPE DItype
+#define TO_SINT_C_TYPE DItype
+#define TO_UINT_C_TYPE UDItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (TO_TQ) && HAVE_TQ == 1 && !defined (FROM_TQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME TQ
+#define TO_MODE_NAME_S tq
+#define TO_INT_C_TYPE TItype
+#define TO_SINT_C_TYPE TItype
+#define TO_UINT_C_TYPE UTItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 16 /* in bytes. */
+
+#elif defined (TO_UQQ) && HAVE_UQQ == 1 && !defined (FROM_UQQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UQQ
+#define TO_MODE_NAME_S uqq
+#define TO_INT_C_TYPE UQItype
+#define TO_SINT_C_TYPE QItype
+#define TO_UINT_C_TYPE UQItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 1 /* in bytes. */
+
+#elif defined (TO_UHQ) && HAVE_UHQ == 1 && !defined (FROM_UHQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UHQ
+#define TO_MODE_NAME_S uhq
+#define TO_INT_C_TYPE UHItype
+#define TO_SINT_C_TYPE HItype
+#define TO_UINT_C_TYPE UHItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (TO_USQ) && HAVE_USQ == 1 && !defined (FROM_USQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME USQ
+#define TO_MODE_NAME_S usq
+#define TO_INT_C_TYPE USItype
+#define TO_SINT_C_TYPE SItype
+#define TO_UINT_C_TYPE USItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (TO_UDQ) && HAVE_UDQ == 1 && !defined (FROM_UDQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UDQ
+#define TO_MODE_NAME_S udq
+#define TO_INT_C_TYPE UDItype
+#define TO_SINT_C_TYPE DItype
+#define TO_UINT_C_TYPE UDItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (TO_UTQ) && HAVE_UTQ == 1 && !defined (FROM_UTQ)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UTQ
+#define TO_MODE_NAME_S utq
+#define TO_INT_C_TYPE UTItype
+#define TO_SINT_C_TYPE TItype
+#define TO_UINT_C_TYPE UTItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 16 /* in bytes. */
+
+#elif defined (TO_HA) && HAVE_HA == 1 && !defined (FROM_HA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME HA
+#define TO_MODE_NAME_S ha
+#define TO_INT_C_TYPE HItype
+#define TO_SINT_C_TYPE HItype
+#define TO_UINT_C_TYPE UHItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (TO_SA) && HAVE_SA == 1 && !defined (FROM_SA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME SA
+#define TO_MODE_NAME_S sa
+#define TO_INT_C_TYPE SItype
+#define TO_SINT_C_TYPE SItype
+#define TO_UINT_C_TYPE USItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (TO_DA) && HAVE_DA == 1 && !defined (FROM_DA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME DA
+#define TO_MODE_NAME_S da
+#define TO_INT_C_TYPE DItype
+#define TO_SINT_C_TYPE DItype
+#define TO_UINT_C_TYPE UDItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (TO_TA) && HAVE_TA == 1 && !defined (FROM_TA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME TA
+#define TO_MODE_NAME_S ta
+#define TO_INT_C_TYPE TItype
+#define TO_SINT_C_TYPE TItype
+#define TO_UINT_C_TYPE UTItype
+#define TO_MODE_UNSIGNED 0
+#define TO_FIXED_SIZE 16 /* in bytes. */
+
+#elif defined (TO_UHA) && HAVE_UHA == 1 && !defined (FROM_UHA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UHA
+#define TO_MODE_NAME_S uha
+#define TO_INT_C_TYPE UHItype
+#define TO_SINT_C_TYPE HItype
+#define TO_UINT_C_TYPE UHItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 2 /* in bytes. */
+
+#elif defined (TO_USA) && HAVE_USA == 1 && !defined (FROM_USA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME USA
+#define TO_MODE_NAME_S usa
+#define TO_INT_C_TYPE USItype
+#define TO_SINT_C_TYPE SItype
+#define TO_UINT_C_TYPE USItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 4 /* in bytes. */
+
+#elif defined (TO_UDA) && HAVE_UDA == 1 && !defined (FROM_UDA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UDA
+#define TO_MODE_NAME_S uda
+#define TO_INT_C_TYPE UDItype
+#define TO_SINT_C_TYPE DItype
+#define TO_UINT_C_TYPE UDItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 8 /* in bytes. */
+
+#elif defined (TO_UTA) && HAVE_UTA == 1 && !defined (FROM_UTA)
+#define TO_TYPE 4 /* Fixed-point. */
+#define TO_MODE_NAME UTA
+#define TO_MODE_NAME_S uta
+#define TO_INT_C_TYPE UTItype
+#define TO_SINT_C_TYPE TItype
+#define TO_UINT_C_TYPE UTItype
+#define TO_MODE_UNSIGNED 1
+#define TO_FIXED_SIZE 16 /* in bytes. */
+
+#endif
+
+#if defined (FROM_MODE_NAME_S) && defined (TO_MODE_NAME_S)
+
+#if FROM_TYPE == 1 /* Signed integer. */
+#define FROM_INT_WIDTH (FROM_INT_SIZE * BITS_PER_UNIT)
+#endif
+
+#if FROM_TYPE == 2 /* Unsigned integer. */
+#define FROM_INT_WIDTH (FROM_INT_SIZE * BITS_PER_UNIT)
+#endif
+
+#if FROM_TYPE == 4 /* Fixed-point. */
+#define FROM_FIXED_C_TYPE FIXED_C_TYPE2(FROM_MODE_NAME)
+#define FROM_FBITS FBITS2(FROM_MODE_NAME)
+#define FROM_FIXED_WIDTH (FROM_FIXED_SIZE * BITS_PER_UNIT)
+#define FROM_FBITS FBITS2(FROM_MODE_NAME)
+#define FROM_IBITS IBITS2(FROM_MODE_NAME)
+#define FROM_I_F_BITS (FROM_FBITS + FROM_IBITS)
+
+#if FROM_MODE_UNSIGNED == 0 /* Signed types. */
+#define FROM_PADDING_BITS (FROM_FIXED_WIDTH - 1 - FROM_I_F_BITS)
+#define FROM_NONPADDING_BITS (1 + FROM_I_F_BITS)
+#else /* Unsigned types. */
+#define FROM_PADDING_BITS (FROM_FIXED_WIDTH - FROM_I_F_BITS)
+#define FROM_NONPADDING_BITS (FROM_I_F_BITS)
+#endif
+#define FROM_HAVE_PADDING_BITS (FROM_PADDING_BITS > 0)
+#endif /* FROM_TYPE == 4 */
+
+#if TO_TYPE == 4 /* Fixed-point. */
+#define TO_FIXED_C_TYPE FIXED_C_TYPE2(TO_MODE_NAME)
+#define TO_FBITS FBITS2(TO_MODE_NAME)
+#define TO_FIXED_WIDTH (TO_FIXED_SIZE * BITS_PER_UNIT)
+#define TO_FBITS FBITS2(TO_MODE_NAME)
+#define TO_IBITS IBITS2(TO_MODE_NAME)
+#define TO_I_F_BITS (TO_FBITS + TO_IBITS)
+
+#if TO_MODE_UNSIGNED == 0 /* Signed types. */
+#define TO_PADDING_BITS (TO_FIXED_WIDTH - 1 - TO_I_F_BITS)
+#define TO_NONPADDING_BITS (1 + TO_I_F_BITS)
+#else /* Unsigned types. */
+#define TO_PADDING_BITS (TO_FIXED_WIDTH - TO_I_F_BITS)
+#define TO_NONPADDING_BITS (TO_I_F_BITS)
+#endif
+#define TO_HAVE_PADDING_BITS (TO_PADDING_BITS > 0)
+#endif /* TO_TYPE == 4 */
+
+#define FIXED_CONVERT_OP(OP,FROM,TO) OP ## FROM ## TO
+#define FIXED_CONVERT_OP2(OP,FROM,TO) OP ## FROM ## TO ## 2
+#define FRACT_TEMP(N1,N2) FIXED_CONVERT_OP(__fract,N1,N2)
+#define FRACT2_TEMP(N1,N2) FIXED_CONVERT_OP2(__fract,N1,N2)
+#define SATFRACT_TEMP(N1,N2) FIXED_CONVERT_OP(__satfract,N1,N2)
+#define SATFRACT2_TEMP(N1,N2) FIXED_CONVERT_OP2(__satfract,N1,N2)
+#define FRACTUNS_TEMP(N1,N2) FIXED_CONVERT_OP(__fractuns,N1,N2)
+#define SATFRACTUNS_TEMP(N1,N2) FIXED_CONVERT_OP(__satfractuns,N1,N2)
+
+/* Define conversions from fixed-point to fixed-point. */
+#if FROM_TYPE == 4 && TO_TYPE == 4
+
+#if FROM_FIXED_SIZE > TO_FIXED_SIZE
+#define BIG_SINT_C_TYPE FROM_SINT_C_TYPE
+#define BIG_UINT_C_TYPE FROM_UINT_C_TYPE
+#define BIG_WIDTH FROM_FIXED_WIDTH
+#else
+#define BIG_SINT_C_TYPE TO_SINT_C_TYPE
+#define BIG_UINT_C_TYPE TO_UINT_C_TYPE
+#define BIG_WIDTH TO_FIXED_WIDTH
+#endif
+
+/* Check if FROM* and TO* are in the same machine class. */
+#if ((FROM_MODE_UNSIGNED == TO_MODE_UNSIGNED) \
+ && ((FROM_IBITS == 0) == (TO_IBITS == 0)))
+/* Same modes: append '2' to conversion function names */
+#define FRACT FRACT2_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#define SATFRACT SATFRACT2_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#else
+/* Different modes: don't append '2' to conversion function names */
+#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#define SATFRACT SATFRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#endif
+
+extern TO_FIXED_C_TYPE FRACT (FROM_FIXED_C_TYPE);
+extern TO_FIXED_C_TYPE SATFRACT (FROM_FIXED_C_TYPE);
+#endif /* FROM_TYPE == 4 && TO_TYPE == 4 */
+
+/* Define conversions from fixed-point to signed integer. */
+#if FROM_TYPE == 4 && TO_TYPE == 1
+#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+extern TO_INT_C_TYPE FRACT (FROM_FIXED_C_TYPE);
+#endif /* FROM_TYPE == 4 && TO_TYPE == 1 */
+
+/* Define conversions from fixed-point to unsigned integer. */
+#if FROM_TYPE == 4 && TO_TYPE == 2
+#define FRACTUNS FRACTUNS_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+extern TO_INT_C_TYPE FRACTUNS (FROM_FIXED_C_TYPE);
+#endif /* FROM_TYPE == 4 && TO_TYPE == 2 */
+
+/* Define conversions from fixed-point to floating-point. */
+#if FROM_TYPE == 4 && TO_TYPE == 3
+#define BASE1(NUM) 0x1.0p ## NUM
+#define BASE2(NUM) BASE1(NUM)
+#define BASE BASE2(FROM_FBITS)
+#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+extern TO_FLOAT_C_TYPE FRACT (FROM_FIXED_C_TYPE);
+#endif /* FROM_TYPE == 4 && TO_TYPE == 3 */
+
+/* Define conversions from signed integer to fixed-point. */
+#if FROM_TYPE == 1 && TO_TYPE == 4
+
+#if FROM_INT_SIZE > TO_FIXED_SIZE
+#define BIG_SINT_C_TYPE FROM_SINT_C_TYPE
+#define BIG_UINT_C_TYPE FROM_UINT_C_TYPE
+#define BIG_WIDTH FROM_INT_WIDTH
+#else
+#define BIG_SINT_C_TYPE TO_SINT_C_TYPE
+#define BIG_UINT_C_TYPE TO_UINT_C_TYPE
+#define BIG_WIDTH TO_FIXED_WIDTH
+#endif
+
+#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#define SATFRACT SATFRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+extern TO_FIXED_C_TYPE FRACT (FROM_INT_C_TYPE);
+extern TO_FIXED_C_TYPE SATFRACT (FROM_INT_C_TYPE);
+#endif /* FROM_TYPE == 1 && TO_TYPE == 4 */
+
+/* Define conversions from unsigned integer to fixed-point. */
+#if FROM_TYPE == 2 && TO_TYPE == 4
+
+#if FROM_INT_SIZE > TO_FIXED_SIZE
+#define BIG_SINT_C_TYPE FROM_SINT_C_TYPE
+#define BIG_UINT_C_TYPE FROM_UINT_C_TYPE
+#define BIG_WIDTH FROM_INT_WIDTH
+#else
+#define BIG_SINT_C_TYPE TO_SINT_C_TYPE
+#define BIG_UINT_C_TYPE TO_UINT_C_TYPE
+#define BIG_WIDTH TO_FIXED_WIDTH
+#endif
+
+#define FRACTUNS FRACTUNS_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#define SATFRACTUNS SATFRACTUNS_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+extern TO_FIXED_C_TYPE FRACTUNS (FROM_INT_C_TYPE);
+extern TO_FIXED_C_TYPE SATFRACTUNS (FROM_INT_C_TYPE);
+#endif /* FROM_TYPE == 2 && TO_TYPE == 4 */
+
+/* Define conversions from floating-point to fixed-point. */
+#if FROM_TYPE == 3 && TO_TYPE == 4
+
+#define BASE1(NUM) (0x1.0p ## NUM)
+#define BASE2(NUM) BASE1(NUM)
+#define BASE BASE2(TO_FBITS)
+
+#define FIXED_MAX1(NUM1,NUM2) (0x1.0p ## NUM1 - 0x1.0p- ## NUM2)
+#define FIXED_MAX2(NUM1,NUM2) FIXED_MAX1(NUM1,NUM2)
+#define FIXED_MAX FIXED_MAX2(TO_IBITS,TO_FBITS)
+
+#define FIXED_MIN1(NUM) (-0x1.0p ## NUM)
+#define FIXED_MIN2(NUM) FIXED_MIN1(NUM)
+#if TO_MODE_UNSIGNED == 0
+#define FIXED_MIN FIXED_MIN2(TO_IBITS)
+#else
+#define FIXED_MIN 0.0
+#endif
+
+#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+#define SATFRACT SATFRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S)
+extern TO_FIXED_C_TYPE FRACT (FROM_FLOAT_C_TYPE);
+extern TO_FIXED_C_TYPE SATFRACT (FROM_FLOAT_C_TYPE);
+#endif /* FROM_TYPE == 3 && TO_TYPE == 4 */
+
+#endif /* defined (FROM_MODE_NAME_S) && defined (TO_MODE_NAME_S) */
+
+#endif /* _FIXED_BIT_H */
Most of the routines in @code{libgcc} handle arithmetic operations
that the target processor cannot perform directly. This includes
integer multiply and divide on some machines, and all floating-point
-operations on other machines. @code{libgcc} also includes routines
-for exception handling, and a handful of miscellaneous operations.
+and fixed-point operations on other machines. @code{libgcc} also includes
+routines for exception handling, and a handful of miscellaneous operations.
Some of these routines can be defined in mostly machine-independent C@.
Others must be hand-written in assembly language for each processor
* Integer library routines::
* Soft float library routines::
* Decimal float library routines::
+* Fixed-point fractional library routines::
* Exception handling routines::
* Miscellaneous routines::
@end menu
is NaN, and @var{a} is strictly greater than @var{b}.
@end deftypefn
+@node Fixed-point fractional library routines
+@section Routines for fixed-point fractional emulation
+@cindex fixed-point fractional library
+@cindex fractional types
+@cindex Embedded C
+
+The software fixed-point library implements fixed-point fractional
+arithmetic, and is only activated on selected targets.
+
+For ease of comprehension @code{fract} is an alias for the
+@code{_Fract} type, @code{accum} an alias for @code{_Accum}, and
+@code{sat} an alias for @code{_Sat}.
+
+For illustrative purposes, in this section the fixed-point fractional type
+@code{@w{short fract}} is assumed to correspond to machine mode @code{QQmode};
+@code{@w{unsigned short fract}} to @code{UQQmode};
+@code{fract} to @code{HQmode};
+@code{@w{unsigned fract}} to @code{UHQmode};
+@code{@w{long fract}} to @code{SQmode};
+@code{@w{unsigned long fract}} to @code{USQmode};
+@code{@w{long long fract}} to @code{DQmode};
+and @code{@w{unsigned long long fract}} to @code{UDQmode}.
+Similarly the fixed-point accumulator type
+@code{@w{short accum}} corresponds to @code{HAmode};
+@code{@w{unsigned short accum}} to @code{UHAmode};
+@code{accum} to @code{SAmode};
+@code{@w{unsigned accum}} to @code{USAmode};
+@code{@w{long accum}} to @code{DAmode};
+@code{@w{unsigned long accum}} to @code{UDAmode};
+@code{@w{long long accum}} to @code{TAmode};
+and @code{@w{unsigned long long accum}} to @code{UTAmode}.
+
+@subsection Arithmetic functions
+
+@deftypefn {Runtime Function} {short fract} __addqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __addhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __addsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __adddq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short fract} __adduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __adduhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __addusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __addudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __addha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __addsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __addda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __addta3 (long long accum @var{a}, long long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __adduha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __addusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __adduda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __adduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the sum of @var{a} and @var{b}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __ssaddqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __ssaddhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __ssaddsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __ssadddq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __ssaddha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __ssaddsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __ssaddda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __ssaddta3 (long long accum @var{a}, long long accum @var{b})
+These functions return the sum of @var{a} and @var{b} with signed saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __usadduqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __usadduhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __usaddusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __usaddudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __usadduha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __usaddusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __usadduda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __usadduta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the sum of @var{a} and @var{b} with unsigned saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __subqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __subhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __subsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __subdq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short fract} __subuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __subuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __subusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __subudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __subha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __subsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __subda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __subta3 (long long accum @var{a}, long long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __subuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __subusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __subuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __subuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the difference of @var{a} and @var{b};
+that is, @code{@var{a} - @var{b}}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __sssubqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __sssubhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __sssubsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __sssubdq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __sssubha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __sssubsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __sssubda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __sssubta3 (long long accum @var{a}, long long accum @var{b})
+These functions return the difference of @var{a} and @var{b} with signed
+saturation; that is, @code{@var{a} - @var{b}}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __ussubuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __ussubuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __ussubusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __ussubudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __ussubuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __ussubusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __ussubuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __ussubuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the difference of @var{a} and @var{b} with unsigned
+saturation; that is, @code{@var{a} - @var{b}}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __mulqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __mulhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __mulsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __muldq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short fract} __muluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __muluhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __mulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __muludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __mulha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __mulsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __mulda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __multa3 (long long accum @var{a}, long long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __muluha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __mulusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __muluda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __muluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the product of @var{a} and @var{b}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __ssmulqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __ssmulhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __ssmulsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __ssmuldq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __ssmulha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __ssmulsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __ssmulda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __ssmulta3 (long long accum @var{a}, long long accum @var{b})
+These functions return the product of @var{a} and @var{b} with signed
+saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __usmuluqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __usmuluhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __usmulusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __usmuludq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __usmuluha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __usmulusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __usmuluda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __usmuluta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the product of @var{a} and @var{b} with unsigned
+saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __divqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __divhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __divsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __divdq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __divha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __divsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __divda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __divta3 (long long accum @var{a}, long long accum @var{b})
+These functions return the quotient of the signed division of @var{a}
+and @var{b}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __udivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __udivuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __udivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __udivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __udivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __udivusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __udivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __udivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the quotient of the unsigned division of @var{a}
+and @var{b}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __ssdivqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {fract} __ssdivhq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {long fract} __ssdivsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {long long fract} __ssdivdq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {short accum} __ssdivha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {accum} __ssdivsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {long accum} __ssdivda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {long long accum} __ssdivta3 (long long accum @var{a}, long long accum @var{b})
+These functions return the quotient of the signed division of @var{a}
+and @var{b} with signed saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __usdivuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __usdivuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __usdivusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __usdivudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __usdivuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __usdivusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __usdivuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __usdivuta3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions return the quotient of the unsigned division of @var{a}
+and @var{b} with unsigned saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __negqq3 (short fract @var{a})
+@deftypefnx {Runtime Function} {fract} __neghq3 (fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __negsq3 (long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __negdq3 (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __neguqq3 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __neguhq3 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __negusq3 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __negudq3 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __negha3 (short accum @var{a})
+@deftypefnx {Runtime Function} {accum} __negsa3 (accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __negda3 (long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __negta3 (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __neguha3 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __negusa3 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __neguda3 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __neguta3 (unsigned long long accum @var{a})
+These functions return the negation of @var{a}.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __ssnegqq3 (short fract @var{a})
+@deftypefnx {Runtime Function} {fract} __ssneghq3 (fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __ssnegsq3 (long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __ssnegdq3 (long long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __ssnegha3 (short accum @var{a})
+@deftypefnx {Runtime Function} {accum} __ssnegsa3 (accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __ssnegda3 (long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __ssnegta3 (long long accum @var{a})
+These functions return the negation of @var{a} with signed saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __usneguqq3 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __usneguhq3 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __usnegusq3 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __usnegudq3 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __usneguha3 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __usnegusa3 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __usneguda3 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __usneguta3 (unsigned long long accum @var{a})
+These functions return the negation of @var{a} with unsigned saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __ashlqq3 (short fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {fract} __ashlhq3 (fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long fract} __ashlsq3 (long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long long fract} __ashldq3 (long long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned short fract} __ashluqq3 (unsigned short fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __ashluhq3 (unsigned fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __ashlusq3 (unsigned long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __ashludq3 (unsigned long long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {short accum} __ashlha3 (short accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {accum} __ashlsa3 (accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long accum} __ashlda3 (long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long long accum} __ashlta3 (long long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __ashluha3 (unsigned short accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __ashlusa3 (unsigned accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __ashluda3 (unsigned long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __ashluta3 (unsigned long long accum @var{a}, int @var{b})
+These functions return the result of shifting @var{a} left by @var{b} bits.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __ashrqq3 (short fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {fract} __ashrhq3 (fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long fract} __ashrsq3 (long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long long fract} __ashrdq3 (long long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {short accum} __ashrha3 (short accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {accum} __ashrsa3 (accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long accum} __ashrda3 (long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long long accum} __ashrta3 (long long accum @var{a}, int @var{b})
+These functions return the result of arithmetically shifting @var{a} right
+by @var{b} bits.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __lshruqq3 (unsigned short fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __lshruhq3 (unsigned fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __lshrusq3 (unsigned long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __lshrudq3 (unsigned long long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __lshruha3 (unsigned short accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __lshrusa3 (unsigned accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __lshruda3 (unsigned long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __lshruta3 (unsigned long long accum @var{a}, int @var{b})
+These functions return the result of logically shifting @var{a} right
+by @var{b} bits.
+@end deftypefn
+
+@deftypefn {Runtime Function} {fract} __ssashlhq3 (fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long fract} __ssashlsq3 (long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long long fract} __ssashldq3 (long long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {short accum} __ssashlha3 (short accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {accum} __ssashlsa3 (accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long accum} __ssashlda3 (long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {long long accum} __ssashlta3 (long long accum @var{a}, int @var{b})
+These functions return the result of shifting @var{a} left by @var{b} bits
+with signed saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned short fract} __usashluqq3 (unsigned short fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned fract} __usashluhq3 (unsigned fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long fract} __usashlusq3 (unsigned long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long long fract} __usashludq3 (unsigned long long fract @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned short accum} __usashluha3 (unsigned short accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned accum} __usashlusa3 (unsigned accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long accum} __usashluda3 (unsigned long accum @var{a}, int @var{b})
+@deftypefnx {Runtime Function} {unsigned long long accum} __usashluta3 (unsigned long long accum @var{a}, int @var{b})
+These functions return the result of shifting @var{a} left by @var{b} bits
+with unsigned saturation.
+@end deftypefn
+
+@subsection Comparison functions
+
+The following functions implement fixed-point comparisons. These functions
+implement a low-level compare, upon which the higher level comparison
+operators (such as less than and greater than or equal to) can be
+constructed. The returned values lie in the range zero to two, to allow
+the high-level operators to be implemented by testing the returned
+result using either signed or unsigned comparison.
+
+@deftypefn {Runtime Function} {int} __cmpqq3 (short fract @var{a}, short fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmphq3 (fract @var{a}, fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpsq3 (long fract @var{a}, long fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpdq3 (long long fract @var{a}, long long fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpuqq3 (unsigned short fract @var{a}, unsigned short fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpuhq3 (unsigned fract @var{a}, unsigned fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpusq3 (unsigned long fract @var{a}, unsigned long fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpudq3 (unsigned long long fract @var{a}, unsigned long long fract @var{b})
+@deftypefnx {Runtime Function} {int} __cmpha3 (short accum @var{a}, short accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmpsa3 (accum @var{a}, accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmpda3 (long accum @var{a}, long accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmpta3 (long long accum @var{a}, long long accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmpuha3 (unsigned short accum @var{a}, unsigned short accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmpusa3 (unsigned accum @var{a}, unsigned accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmpuda3 (unsigned long accum @var{a}, unsigned long accum @var{b})
+@deftypefnx {Runtime Function} {int} __cmputa3 (unsigned long long accum @var{a}, unsigned long long accum @var{b})
+These functions perform a signed or unsigned comparison of @var{a} and
+@var{b} (depending on the selected machine mode). If @var{a} is less
+than @var{b}, they return 0; if @var{a} is greater than @var{b}, they
+return 2; and if @var{a} and @var{b} are equal they return 1.
+@end deftypefn
+
+@subsection Conversion functions
+
+@deftypefn {Runtime Function} {fract} __fractqqhq2 (short fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractqqsq2 (short fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractqqdq2 (short fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractqqha (short fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractqqsa (short fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractqqda (short fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractqqta (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractqquqq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractqquhq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractqqusq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractqqudq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractqquha (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractqqusa (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractqquda (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractqquta (short fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractqqqi (short fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractqqhi (short fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractqqsi (short fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractqqdi (short fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractqqti (short fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractqqsf (short fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractqqdf (short fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fracthqqq2 (fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fracthqsq2 (fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fracthqdq2 (fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fracthqha (fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fracthqsa (fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fracthqda (fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fracthqta (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fracthquqq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fracthquhq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fracthqusq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fracthqudq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fracthquha (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fracthqusa (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fracthquda (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fracthquta (fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fracthqqi (fract @var{a})
+@deftypefnx {Runtime Function} {short} __fracthqhi (fract @var{a})
+@deftypefnx {Runtime Function} {int} __fracthqsi (fract @var{a})
+@deftypefnx {Runtime Function} {long} __fracthqdi (fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fracthqti (fract @var{a})
+@deftypefnx {Runtime Function} {float} __fracthqsf (fract @var{a})
+@deftypefnx {Runtime Function} {double} __fracthqdf (fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractsqqq2 (long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __fractsqhq2 (long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractsqdq2 (long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractsqha (long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractsqsa (long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractsqda (long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractsqta (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractsquqq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractsquhq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractsqusq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractsqudq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractsquha (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractsqusa (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractsquda (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractsquta (long fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractsqqi (long fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractsqhi (long fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractsqsi (long fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractsqdi (long fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractsqti (long fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractsqsf (long fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractsqdf (long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractdqqq2 (long long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __fractdqhq2 (long long fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractdqsq2 (long long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractdqha (long long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractdqsa (long long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractdqda (long long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractdqta (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractdquqq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractdquhq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractdqusq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractdqudq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractdquha (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractdqusa (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractdquda (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractdquta (long long fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractdqqi (long long fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractdqhi (long long fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractdqsi (long long fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractdqdi (long long fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractdqti (long long fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractdqsf (long long fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractdqdf (long long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fracthaqq (short accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fracthahq (short accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fracthasq (short accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fracthadq (short accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fracthasa2 (short accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fracthada2 (short accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fracthata2 (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fracthauqq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fracthauhq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fracthausq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fracthaudq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fracthauha (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fracthausa (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fracthauda (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fracthauta (short accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fracthaqi (short accum @var{a})
+@deftypefnx {Runtime Function} {short} __fracthahi (short accum @var{a})
+@deftypefnx {Runtime Function} {int} __fracthasi (short accum @var{a})
+@deftypefnx {Runtime Function} {long} __fracthadi (short accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fracthati (short accum @var{a})
+@deftypefnx {Runtime Function} {float} __fracthasf (short accum @var{a})
+@deftypefnx {Runtime Function} {double} __fracthadf (short accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractsaqq (accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fractsahq (accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractsasq (accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractsadq (accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractsaha2 (accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractsada2 (accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractsata2 (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractsauqq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractsauhq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractsausq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractsaudq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractsauha (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractsausa (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractsauda (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractsauta (accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractsaqi (accum @var{a})
+@deftypefnx {Runtime Function} {short} __fractsahi (accum @var{a})
+@deftypefnx {Runtime Function} {int} __fractsasi (accum @var{a})
+@deftypefnx {Runtime Function} {long} __fractsadi (accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fractsati (accum @var{a})
+@deftypefnx {Runtime Function} {float} __fractsasf (accum @var{a})
+@deftypefnx {Runtime Function} {double} __fractsadf (accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractdaqq (long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fractdahq (long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractdasq (long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractdadq (long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractdaha2 (long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fractdasa2 (long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractdata2 (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractdauqq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractdauhq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractdausq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractdaudq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractdauha (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractdausa (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractdauda (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractdauta (long accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractdaqi (long accum @var{a})
+@deftypefnx {Runtime Function} {short} __fractdahi (long accum @var{a})
+@deftypefnx {Runtime Function} {int} __fractdasi (long accum @var{a})
+@deftypefnx {Runtime Function} {long} __fractdadi (long accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fractdati (long accum @var{a})
+@deftypefnx {Runtime Function} {float} __fractdasf (long accum @var{a})
+@deftypefnx {Runtime Function} {double} __fractdadf (long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fracttaqq (long long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fracttahq (long long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fracttasq (long long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fracttadq (long long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fracttaha2 (long long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fracttasa2 (long long accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fracttada2 (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fracttauqq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fracttauhq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fracttausq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fracttaudq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fracttauha (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fracttausa (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fracttauda (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fracttauta (long long accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fracttaqi (long long accum @var{a})
+@deftypefnx {Runtime Function} {short} __fracttahi (long long accum @var{a})
+@deftypefnx {Runtime Function} {int} __fracttasi (long long accum @var{a})
+@deftypefnx {Runtime Function} {long} __fracttadi (long long accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fracttati (long long accum @var{a})
+@deftypefnx {Runtime Function} {float} __fracttasf (long long accum @var{a})
+@deftypefnx {Runtime Function} {double} __fracttadf (long long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractuqqqq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {fract} __fractuqqhq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractuqqsq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractuqqdq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractuqqha (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractuqqsa (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractuqqda (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractuqqta (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractuqquhq2 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractuqqusq2 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractuqqudq2 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractuqquha (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractuqqusa (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractuqquda (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractuqquta (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractuqqqi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractuqqhi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractuqqsi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractuqqdi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractuqqti (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractuqqsf (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractuqqdf (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractuhqqq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {fract} __fractuhqhq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractuhqsq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractuhqdq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractuhqha (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractuhqsa (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractuhqda (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractuhqta (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractuhquqq2 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractuhqusq2 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractuhqudq2 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractuhquha (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractuhqusa (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractuhquda (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractuhquta (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractuhqqi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractuhqhi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractuhqsi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractuhqdi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractuhqti (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractuhqsf (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractuhqdf (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractusqqq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __fractusqhq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractusqsq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractusqdq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractusqha (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractusqsa (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractusqda (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractusqta (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractusquqq2 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractusquhq2 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractusqudq2 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractusquha (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractusqusa (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractusquda (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractusquta (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractusqqi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractusqhi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractusqsi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractusqdi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractusqti (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractusqsf (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractusqdf (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractudqqq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __fractudqhq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractudqsq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractudqdq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractudqha (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __fractudqsa (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractudqda (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractudqta (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractudquqq2 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractudquhq2 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractudqusq2 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractudquha (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractudqusa (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractudquda (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractudquta (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractudqqi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {short} __fractudqhi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {int} __fractudqsi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long} __fractudqdi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long long} __fractudqti (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {float} __fractudqsf (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {double} __fractudqdf (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractuhaqq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fractuhahq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractuhasq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractuhadq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractuhaha (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fractuhasa (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractuhada (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractuhata (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractuhauqq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractuhauhq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractuhausq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractuhaudq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractuhausa2 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractuhauda2 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractuhauta2 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractuhaqi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {short} __fractuhahi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {int} __fractuhasi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long} __fractuhadi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fractuhati (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {float} __fractuhasf (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {double} __fractuhadf (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractusaqq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fractusahq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractusasq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractusadq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractusaha (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fractusasa (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractusada (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractusata (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractusauqq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractusauhq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractusausq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractusaudq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractusauha2 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractusauda2 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractusauta2 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractusaqi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {short} __fractusahi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {int} __fractusasi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long} __fractusadi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fractusati (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {float} __fractusasf (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {double} __fractusadf (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractudaqq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fractudahq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractudasq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractudadq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractudaha (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fractudasa (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractudada (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractudata (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractudauqq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractudauhq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractudausq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractudaudq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractudauha2 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractudausa2 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractudauta2 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractudaqi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {short} __fractudahi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {int} __fractudasi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long} __fractudadi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fractudati (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {float} __fractudasf (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {double} __fractudadf (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractutaqq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __fractutahq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractutasq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractutadq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractutaha (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __fractutasa (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractutada (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractutata (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractutauqq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractutauhq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractutausq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractutaudq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractutauha2 (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractutausa2 (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractutauda2 (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {signed char} __fractutaqi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {short} __fractutahi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {int} __fractutasi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long} __fractutadi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long long} __fractutati (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {float} __fractutasf (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {double} __fractutadf (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractqiqq (signed char @var{a})
+@deftypefnx {Runtime Function} {fract} __fractqihq (signed char @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractqisq (signed char @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractqidq (signed char @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractqiha (signed char @var{a})
+@deftypefnx {Runtime Function} {accum} __fractqisa (signed char @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractqida (signed char @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractqita (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractqiuqq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractqiuhq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractqiusq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractqiudq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractqiuha (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractqiusa (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractqiuda (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractqiuta (signed char @var{a})
+@deftypefnx {Runtime Function} {short fract} __fracthiqq (short @var{a})
+@deftypefnx {Runtime Function} {fract} __fracthihq (short @var{a})
+@deftypefnx {Runtime Function} {long fract} __fracthisq (short @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fracthidq (short @var{a})
+@deftypefnx {Runtime Function} {short accum} __fracthiha (short @var{a})
+@deftypefnx {Runtime Function} {accum} __fracthisa (short @var{a})
+@deftypefnx {Runtime Function} {long accum} __fracthida (short @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fracthita (short @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fracthiuqq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fracthiuhq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fracthiusq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fracthiudq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fracthiuha (short @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fracthiusa (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fracthiuda (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fracthiuta (short @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractsiqq (int @var{a})
+@deftypefnx {Runtime Function} {fract} __fractsihq (int @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractsisq (int @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractsidq (int @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractsiha (int @var{a})
+@deftypefnx {Runtime Function} {accum} __fractsisa (int @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractsida (int @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractsita (int @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractsiuqq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractsiuhq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractsiusq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractsiudq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractsiuha (int @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractsiusa (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractsiuda (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractsiuta (int @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractdiqq (long @var{a})
+@deftypefnx {Runtime Function} {fract} __fractdihq (long @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractdisq (long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractdidq (long @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractdiha (long @var{a})
+@deftypefnx {Runtime Function} {accum} __fractdisa (long @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractdida (long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractdita (long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractdiuqq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractdiuhq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractdiusq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractdiudq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractdiuha (long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractdiusa (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractdiuda (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractdiuta (long @var{a})
+@deftypefnx {Runtime Function} {short fract} __fracttiqq (long long @var{a})
+@deftypefnx {Runtime Function} {fract} __fracttihq (long long @var{a})
+@deftypefnx {Runtime Function} {long fract} __fracttisq (long long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fracttidq (long long @var{a})
+@deftypefnx {Runtime Function} {short accum} __fracttiha (long long @var{a})
+@deftypefnx {Runtime Function} {accum} __fracttisa (long long @var{a})
+@deftypefnx {Runtime Function} {long accum} __fracttida (long long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fracttita (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fracttiuqq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fracttiuhq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fracttiusq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fracttiudq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fracttiuha (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fracttiusa (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fracttiuda (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fracttiuta (long long @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractsfqq (float @var{a})
+@deftypefnx {Runtime Function} {fract} __fractsfhq (float @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractsfsq (float @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractsfdq (float @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractsfha (float @var{a})
+@deftypefnx {Runtime Function} {accum} __fractsfsa (float @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractsfda (float @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractsfta (float @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractsfuqq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractsfuhq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractsfusq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractsfudq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractsfuha (float @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractsfusa (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractsfuda (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractsfuta (float @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractdfqq (double @var{a})
+@deftypefnx {Runtime Function} {fract} __fractdfhq (double @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractdfsq (double @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractdfdq (double @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractdfha (double @var{a})
+@deftypefnx {Runtime Function} {accum} __fractdfsa (double @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractdfda (double @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractdfta (double @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractdfuqq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractdfuhq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractdfusq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractdfudq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractdfuha (double @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractdfusa (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractdfuda (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractdfuta (double @var{a})
+These functions convert from fractional and signed non-fractionals to
+fractionals and signed non-fractionals, without saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {fract} __satfractqqhq2 (short fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractqqsq2 (short fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractqqdq2 (short fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractqqha (short fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractqqsa (short fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractqqda (short fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractqqta (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractqquqq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractqquhq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractqqusq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractqqudq (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractqquha (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractqqusa (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractqquda (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractqquta (short fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfracthqqq2 (fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfracthqsq2 (fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfracthqdq2 (fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfracthqha (fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfracthqsa (fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfracthqda (fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfracthqta (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfracthquqq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfracthquhq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfracthqusq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthqudq (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfracthquha (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfracthqusa (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfracthquda (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthquta (fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractsqqq2 (long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractsqhq2 (long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractsqdq2 (long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractsqha (long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractsqsa (long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractsqda (long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractsqta (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractsquqq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractsquhq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractsqusq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsqudq (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractsquha (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractsqusa (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractsquda (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsquta (long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractdqqq2 (long long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractdqhq2 (long long fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractdqsq2 (long long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractdqha (long long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractdqsa (long long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractdqda (long long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractdqta (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractdquqq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractdquhq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractdqusq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdqudq (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractdquha (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractdqusa (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractdquda (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdquta (long long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfracthaqq (short accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfracthahq (short accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfracthasq (short accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfracthadq (short accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfracthasa2 (short accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfracthada2 (short accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfracthata2 (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfracthauqq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfracthauhq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfracthausq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthaudq (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfracthauha (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfracthausa (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfracthauda (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthauta (short accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractsaqq (accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractsahq (accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractsasq (accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractsadq (accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractsaha2 (accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractsada2 (accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractsata2 (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractsauqq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractsauhq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractsausq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsaudq (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractsauha (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractsausa (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractsauda (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsauta (accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractdaqq (long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractdahq (long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractdasq (long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractdadq (long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractdaha2 (long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractdasa2 (long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractdata2 (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractdauqq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractdauhq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractdausq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdaudq (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractdauha (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractdausa (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractdauda (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdauta (long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfracttaqq (long long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfracttahq (long long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfracttasq (long long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfracttadq (long long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfracttaha2 (long long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfracttasa2 (long long accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfracttada2 (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfracttauqq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfracttauhq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfracttausq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfracttaudq (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfracttauha (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfracttausa (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfracttauda (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfracttauta (long long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractuqqqq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractuqqhq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractuqqsq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractuqqdq (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractuqqha (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractuqqsa (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractuqqda (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractuqqta (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractuqquhq2 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractuqqusq2 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuqqudq2 (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractuqquha (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractuqqusa (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractuqquda (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuqquta (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractuhqqq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractuhqhq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractuhqsq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractuhqdq (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractuhqha (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractuhqsa (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractuhqda (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractuhqta (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractuhquqq2 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractuhqusq2 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhqudq2 (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractuhquha (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractuhqusa (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractuhquda (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhquta (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractusqqq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractusqhq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractusqsq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractusqdq (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractusqha (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractusqsa (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractusqda (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractusqta (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractusquqq2 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractusquhq2 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractusqudq2 (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractusquha (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractusqusa (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractusquda (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractusquta (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractudqqq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractudqhq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractudqsq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractudqdq (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractudqha (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractudqsa (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractudqda (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractudqta (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractudquqq2 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractudquhq2 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractudqusq2 (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractudquha (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractudqusa (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractudquda (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractudquta (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractuhaqq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractuhahq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractuhasq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractuhadq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractuhaha (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractuhasa (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractuhada (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractuhata (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractuhauqq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractuhauhq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractuhausq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractuhaudq (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractuhausa2 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractuhauda2 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractuhauta2 (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractusaqq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractusahq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractusasq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractusadq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractusaha (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractusasa (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractusada (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractusata (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractusauqq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractusauhq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractusausq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractusaudq (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractusauha2 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractusauda2 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractusauta2 (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractudaqq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractudahq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractudasq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractudadq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractudaha (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractudasa (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractudada (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractudata (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractudauqq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractudauhq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractudausq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractudaudq (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractudauha2 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractudausa2 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractudauta2 (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractutaqq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractutahq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractutasq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractutadq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractutaha (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractutasa (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractutada (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractutata (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractutauqq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractutauhq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractutausq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractutaudq (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractutauha2 (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractutausa2 (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractutauda2 (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractqiqq (signed char @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractqihq (signed char @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractqisq (signed char @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractqidq (signed char @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractqiha (signed char @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractqisa (signed char @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractqida (signed char @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractqita (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractqiuqq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractqiuhq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractqiusq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractqiudq (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractqiuha (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractqiusa (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractqiuda (signed char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractqiuta (signed char @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfracthiqq (short @var{a})
+@deftypefnx {Runtime Function} {fract} __satfracthihq (short @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfracthisq (short @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfracthidq (short @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfracthiha (short @var{a})
+@deftypefnx {Runtime Function} {accum} __satfracthisa (short @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfracthida (short @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfracthita (short @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfracthiuqq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfracthiuhq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfracthiusq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfracthiudq (short @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfracthiuha (short @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfracthiusa (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfracthiuda (short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfracthiuta (short @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractsiqq (int @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractsihq (int @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractsisq (int @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractsidq (int @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractsiha (int @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractsisa (int @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractsida (int @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractsita (int @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractsiuqq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractsiuhq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractsiusq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsiudq (int @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractsiuha (int @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractsiusa (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractsiuda (int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsiuta (int @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractdiqq (long @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractdihq (long @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractdisq (long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractdidq (long @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractdiha (long @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractdisa (long @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractdida (long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractdita (long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractdiuqq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractdiuhq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractdiusq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdiudq (long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractdiuha (long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractdiusa (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractdiuda (long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdiuta (long @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfracttiqq (long long @var{a})
+@deftypefnx {Runtime Function} {fract} __satfracttihq (long long @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfracttisq (long long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfracttidq (long long @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfracttiha (long long @var{a})
+@deftypefnx {Runtime Function} {accum} __satfracttisa (long long @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfracttida (long long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfracttita (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfracttiuqq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfracttiuhq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfracttiusq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfracttiudq (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfracttiuha (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfracttiusa (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfracttiuda (long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfracttiuta (long long @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractsfqq (float @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractsfhq (float @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractsfsq (float @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractsfdq (float @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractsfha (float @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractsfsa (float @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractsfda (float @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractsfta (float @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractsfuqq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractsfuhq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractsfusq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractsfudq (float @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractsfuha (float @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractsfusa (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractsfuda (float @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractsfuta (float @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractdfqq (double @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractdfhq (double @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractdfsq (double @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractdfdq (double @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractdfha (double @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractdfsa (double @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractdfda (double @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractdfta (double @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractdfuqq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractdfuhq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractdfusq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractdfudq (double @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractdfuha (double @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractdfusa (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractdfuda (double @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractdfuta (double @var{a})
+The functions convert from fractional and signed non-fractionals to
+fractionals, with saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {unsigned char} __fractunsqqqi (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsqqhi (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsqqsi (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsqqdi (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsqqti (short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunshqqi (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunshqhi (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunshqsi (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunshqdi (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunshqti (fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunssqqi (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunssqhi (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunssqsi (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunssqdi (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunssqti (long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsdqqi (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsdqhi (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsdqsi (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsdqdi (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsdqti (long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunshaqi (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunshahi (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunshasi (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunshadi (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunshati (short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunssaqi (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunssahi (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunssasi (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunssadi (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunssati (accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsdaqi (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsdahi (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsdasi (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsdadi (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsdati (long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunstaqi (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunstahi (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunstasi (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunstadi (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunstati (long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsuqqqi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsuqqhi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsuqqsi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsuqqdi (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsuqqti (unsigned short fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsuhqqi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsuhqhi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsuhqsi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsuhqdi (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsuhqti (unsigned fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsusqqi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsusqhi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsusqsi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsusqdi (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsusqti (unsigned long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsudqqi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsudqhi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsudqsi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsudqdi (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsudqti (unsigned long long fract @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsuhaqi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsuhahi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsuhasi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsuhadi (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsuhati (unsigned short accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsusaqi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsusahi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsusasi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsusadi (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsusati (unsigned accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsudaqi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsudahi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsudasi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsudadi (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsudati (unsigned long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned char} __fractunsutaqi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned short} __fractunsutahi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned int} __fractunsutasi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long} __fractunsutadi (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {unsigned long long} __fractunsutati (unsigned long long accum @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractunsqiqq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {fract} __fractunsqihq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractunsqisq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractunsqidq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractunsqiha (unsigned char @var{a})
+@deftypefnx {Runtime Function} {accum} __fractunsqisa (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractunsqida (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractunsqita (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractunsqiuqq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractunsqiuhq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractunsqiusq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractunsqiudq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractunsqiuha (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractunsqiusa (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractunsqiuda (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractunsqiuta (unsigned char @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractunshiqq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {fract} __fractunshihq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractunshisq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractunshidq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractunshiha (unsigned short @var{a})
+@deftypefnx {Runtime Function} {accum} __fractunshisa (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractunshida (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractunshita (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractunshiuqq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractunshiuhq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractunshiusq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractunshiudq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractunshiuha (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractunshiusa (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractunshiuda (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractunshiuta (unsigned short @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractunssiqq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {fract} __fractunssihq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractunssisq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractunssidq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractunssiha (unsigned int @var{a})
+@deftypefnx {Runtime Function} {accum} __fractunssisa (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractunssida (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractunssita (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractunssiuqq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractunssiuhq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractunssiusq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractunssiudq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractunssiuha (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractunssiusa (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractunssiuda (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractunssiuta (unsigned int @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractunsdiqq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {fract} __fractunsdihq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractunsdisq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractunsdidq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractunsdiha (unsigned long @var{a})
+@deftypefnx {Runtime Function} {accum} __fractunsdisa (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractunsdida (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractunsdita (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractunsdiuqq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractunsdiuhq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractunsdiusq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractunsdiudq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractunsdiuha (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractunsdiusa (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractunsdiuda (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractunsdiuta (unsigned long @var{a})
+@deftypefnx {Runtime Function} {short fract} __fractunstiqq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {fract} __fractunstihq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long fract} __fractunstisq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __fractunstidq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {short accum} __fractunstiha (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {accum} __fractunstisa (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long accum} __fractunstida (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __fractunstita (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __fractunstiuqq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __fractunstiuhq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __fractunstiusq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __fractunstiudq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __fractunstiuha (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __fractunstiusa (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __fractunstiuda (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __fractunstiuta (unsigned long long @var{a})
+These functions convert from fractionals to unsigned non-fractionals;
+and from unsigned non-fractionals to fractionals, without saturation.
+@end deftypefn
+
+@deftypefn {Runtime Function} {short fract} __satfractunsqiqq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractunsqihq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractunsqisq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractunsqidq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractunsqiha (unsigned char @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractunsqisa (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractunsqida (unsigned char @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractunsqita (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractunsqiuqq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractunsqiuhq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractunsqiusq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsqiudq (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractunsqiuha (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractunsqiusa (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractunsqiuda (unsigned char @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsqiuta (unsigned char @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractunshiqq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractunshihq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractunshisq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractunshidq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractunshiha (unsigned short @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractunshisa (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractunshida (unsigned short @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractunshita (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractunshiuqq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractunshiuhq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractunshiusq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunshiudq (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractunshiuha (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractunshiusa (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractunshiuda (unsigned short @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunshiuta (unsigned short @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractunssiqq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractunssihq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractunssisq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractunssidq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractunssiha (unsigned int @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractunssisa (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractunssida (unsigned int @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractunssita (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractunssiuqq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractunssiuhq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractunssiusq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunssiudq (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractunssiuha (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractunssiusa (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractunssiuda (unsigned int @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunssiuta (unsigned int @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractunsdiqq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractunsdihq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractunsdisq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractunsdidq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractunsdiha (unsigned long @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractunsdisa (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractunsdida (unsigned long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractunsdita (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractunsdiuqq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractunsdiuhq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractunsdiusq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunsdiudq (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractunsdiuha (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractunsdiusa (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractunsdiuda (unsigned long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunsdiuta (unsigned long @var{a})
+@deftypefnx {Runtime Function} {short fract} __satfractunstiqq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {fract} __satfractunstihq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long fract} __satfractunstisq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long long fract} __satfractunstidq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {short accum} __satfractunstiha (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {accum} __satfractunstisa (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long accum} __satfractunstida (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {long long accum} __satfractunstita (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short fract} __satfractunstiuqq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned fract} __satfractunstiuhq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long fract} __satfractunstiusq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long fract} __satfractunstiudq (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned short accum} __satfractunstiuha (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned accum} __satfractunstiusa (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long accum} __satfractunstiuda (unsigned long long @var{a})
+@deftypefnx {Runtime Function} {unsigned long long accum} __satfractunstiuta (unsigned long long @var{a})
+These functions convert from unsigned non-fractionals to fractionals,
+with saturation.
+@end deftypefn
+
@node Exception handling routines
@section Language-independent routines for exception handling
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