--- /dev/null
+/* Copyright (C) 2007, 2009 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 3, or (at your option) any later
+version.
+
+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.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "bid_internal.h"
+
+static const UINT64 mult_factor[16] = {
+ 1ull, 10ull, 100ull, 1000ull,
+ 10000ull, 100000ull, 1000000ull, 10000000ull,
+ 100000000ull, 1000000000ull, 10000000000ull, 100000000000ull,
+ 1000000000000ull, 10000000000000ull,
+ 100000000000000ull, 1000000000000000ull
+};
+
+/*****************************************************************************
+ * BID64 non-computational functions:
+ * - bid64_isSigned
+ * - bid64_isNormal
+ * - bid64_isSubnormal
+ * - bid64_isFinite
+ * - bid64_isZero
+ * - bid64_isInf
+ * - bid64_isSignaling
+ * - bid64_isCanonical
+ * - bid64_isNaN
+ * - bid64_copy
+ * - bid64_negate
+ * - bid64_abs
+ * - bid64_copySign
+ * - bid64_class
+ * - bid64_sameQuantum
+ * - bid64_totalOrder
+ * - bid64_totalOrderMag
+ * - bid64_radix
+ ****************************************************************************/
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isSigned (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isSigned (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ res = ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+}
+
+// return 1 iff x is not zero, nor NaN nor subnormal nor infinity
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isNormal (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isNormal (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ UINT128 sig_x_prime;
+ UINT64 sig_x;
+ unsigned int exp_x;
+
+ if ((x & MASK_INF) == MASK_INF) { // x is either INF or NaN
+ res = 0;
+ } else {
+ // decode number into exponent and significand
+ if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ // check for zero or non-canonical
+ if (sig_x > 9999999999999999ull || sig_x == 0) {
+ res = 0; // zero or non-canonical
+ BID_RETURN (res);
+ }
+ exp_x = (x & MASK_BINARY_EXPONENT2) >> 51;
+ } else {
+ sig_x = (x & MASK_BINARY_SIG1);
+ if (sig_x == 0) {
+ res = 0; // zero
+ BID_RETURN (res);
+ }
+ exp_x = (x & MASK_BINARY_EXPONENT1) >> 53;
+ }
+ // if exponent is less than -383, the number may be subnormal
+ // if (exp_x - 398 = -383) the number may be subnormal
+ if (exp_x < 15) {
+ __mul_64x64_to_128MACH (sig_x_prime, sig_x, mult_factor[exp_x]);
+ if (sig_x_prime.w[1] == 0
+ && sig_x_prime.w[0] < 1000000000000000ull) {
+ res = 0; // subnormal
+ } else {
+ res = 1; // normal
+ }
+ } else {
+ res = 1; // normal
+ }
+ }
+ BID_RETURN (res);
+}
+
+// return 1 iff x is not zero, nor NaN nor normal nor infinity
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isSubnormal (int *pres,
+ UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isSubnormal (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ UINT128 sig_x_prime;
+ UINT64 sig_x;
+ unsigned int exp_x;
+
+ if ((x & MASK_INF) == MASK_INF) { // x is either INF or NaN
+ res = 0;
+ } else {
+ // decode number into exponent and significand
+ if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ // check for zero or non-canonical
+ if (sig_x > 9999999999999999ull || sig_x == 0) {
+ res = 0; // zero or non-canonical
+ BID_RETURN (res);
+ }
+ exp_x = (x & MASK_BINARY_EXPONENT2) >> 51;
+ } else {
+ sig_x = (x & MASK_BINARY_SIG1);
+ if (sig_x == 0) {
+ res = 0; // zero
+ BID_RETURN (res);
+ }
+ exp_x = (x & MASK_BINARY_EXPONENT1) >> 53;
+ }
+ // if exponent is less than -383, the number may be subnormal
+ // if (exp_x - 398 = -383) the number may be subnormal
+ if (exp_x < 15) {
+ __mul_64x64_to_128MACH (sig_x_prime, sig_x, mult_factor[exp_x]);
+ if (sig_x_prime.w[1] == 0
+ && sig_x_prime.w[0] < 1000000000000000ull) {
+ res = 1; // subnormal
+ } else {
+ res = 0; // normal
+ }
+ } else {
+ res = 0; // normal
+ }
+ }
+ BID_RETURN (res);
+}
+
+//iff x is zero, subnormal or normal (not infinity or NaN)
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isFinite (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isFinite (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ res = ((x & MASK_INF) != MASK_INF);
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isZero (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isZero (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ // if infinity or nan, return 0
+ if ((x & MASK_INF) == MASK_INF) {
+ res = 0;
+ } else if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1]
+ // => sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ // if(sig_x > 9999999999999999ull) {return 1;}
+ res =
+ (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) >
+ 9999999999999999ull);
+ } else {
+ res = ((x & MASK_BINARY_SIG1) == 0);
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isInf (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isInf (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ res = ((x & MASK_INF) == MASK_INF) && ((x & MASK_NAN) != MASK_NAN);
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isSignaling (int *pres,
+ UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isSignaling (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ res = ((x & MASK_SNAN) == MASK_SNAN);
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isCanonical (int *pres,
+ UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isCanonical (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ if ((x & MASK_NAN) == MASK_NAN) { // NaN
+ if (x & 0x01fc000000000000ull) {
+ res = 0;
+ } else if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { // payload
+ res = 0;
+ } else {
+ res = 1;
+ }
+ } else if ((x & MASK_INF) == MASK_INF) {
+ if (x & 0x03ffffffffffffffull) {
+ res = 0;
+ } else {
+ res = 1;
+ }
+ } else if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // 54-bit coeff.
+ res =
+ (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) <=
+ 9999999999999999ull);
+ } else { // 53-bit coeff.
+ res = 1;
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_isNaN (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_isNaN (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+
+ res = ((x & MASK_NAN) == MASK_NAN);
+ BID_RETURN (res);
+}
+
+// copies a floating-point operand x to destination y, with no change
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_copy (UINT64 * pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+UINT64
+bid64_copy (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT64 res;
+
+ res = x;
+ BID_RETURN (res);
+}
+
+// copies a floating-point operand x to destination y, reversing the sign
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_negate (UINT64 * pres,
+ UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+UINT64
+bid64_negate (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT64 res;
+
+ res = x ^ MASK_SIGN;
+ BID_RETURN (res);
+}
+
+// copies a floating-point operand x to destination y, changing the sign to positive
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_abs (UINT64 * pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+UINT64
+bid64_abs (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT64 res;
+
+ res = x & ~MASK_SIGN;
+ BID_RETURN (res);
+}
+
+// copies operand x to destination in the same format as x, but
+// with the sign of y
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_copySign (UINT64 * pres, UINT64 * px,
+ UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+ UINT64 y = *py;
+#else
+UINT64
+bid64_copySign (UINT64 x, UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT64 res;
+
+ res = (x & ~MASK_SIGN) | (y & MASK_SIGN);
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_class (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_class (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ UINT128 sig_x_prime;
+ UINT64 sig_x;
+ int exp_x;
+
+ if ((x & MASK_NAN) == MASK_NAN) {
+ // is the NaN signaling?
+ if ((x & MASK_SNAN) == MASK_SNAN) {
+ res = signalingNaN;
+ BID_RETURN (res);
+ }
+ // if NaN and not signaling, must be quietNaN
+ res = quietNaN;
+ BID_RETURN (res);
+ } else if ((x & MASK_INF) == MASK_INF) {
+ // is the Infinity negative?
+ if ((x & MASK_SIGN) == MASK_SIGN) {
+ res = negativeInfinity;
+ } else {
+ // otherwise, must be positive infinity
+ res = positiveInfinity;
+ }
+ BID_RETURN (res);
+ } else if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ // decode number into exponent and significand
+ sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ // check for zero or non-canonical
+ if (sig_x > 9999999999999999ull || sig_x == 0) {
+ if ((x & MASK_SIGN) == MASK_SIGN) {
+ res = negativeZero;
+ } else {
+ res = positiveZero;
+ }
+ BID_RETURN (res);
+ }
+ exp_x = (x & MASK_BINARY_EXPONENT2) >> 51;
+ } else {
+ sig_x = (x & MASK_BINARY_SIG1);
+ if (sig_x == 0) {
+ res =
+ ((x & MASK_SIGN) == MASK_SIGN) ? negativeZero : positiveZero;
+ BID_RETURN (res);
+ }
+ exp_x = (x & MASK_BINARY_EXPONENT1) >> 53;
+ }
+ // if exponent is less than -383, number may be subnormal
+ // if (exp_x - 398 < -383)
+ if (exp_x < 15) { // sig_x *10^exp_x
+ __mul_64x64_to_128MACH (sig_x_prime, sig_x, mult_factor[exp_x]);
+ if (sig_x_prime.w[1] == 0
+ && (sig_x_prime.w[0] < 1000000000000000ull)) {
+ res =
+ ((x & MASK_SIGN) ==
+ MASK_SIGN) ? negativeSubnormal : positiveSubnormal;
+ BID_RETURN (res);
+ }
+ }
+ // otherwise, normal number, determine the sign
+ res =
+ ((x & MASK_SIGN) == MASK_SIGN) ? negativeNormal : positiveNormal;
+ BID_RETURN (res);
+}
+
+// true if the exponents of x and y are the same, false otherwise.
+// The special cases of sameQuantum (NaN, NaN) and sameQuantum (Inf, Inf) are
+// true.
+// If exactly one operand is infinite or exactly one operand is NaN, then false
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_sameQuantum (int *pres, UINT64 * px,
+ UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+ UINT64 y = *py;
+#else
+int
+bid64_sameQuantum (UINT64 x, UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ unsigned int exp_x, exp_y;
+
+ // if both operands are NaN, return true; if just one is NaN, return false
+ if ((x & MASK_NAN) == MASK_NAN || ((y & MASK_NAN) == MASK_NAN)) {
+ res = ((x & MASK_NAN) == MASK_NAN && (y & MASK_NAN) == MASK_NAN);
+ BID_RETURN (res);
+ }
+ // if both operands are INF, return true; if just one is INF, return false
+ if ((x & MASK_INF) == MASK_INF || (y & MASK_INF) == MASK_INF) {
+ res = ((x & MASK_INF) == MASK_INF && (y & MASK_INF) == MASK_INF);
+ BID_RETURN (res);
+ }
+ // decode exponents for both numbers, and return true if they match
+ if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ exp_x = (x & MASK_BINARY_EXPONENT2) >> 51;
+ } else {
+ exp_x = (x & MASK_BINARY_EXPONENT1) >> 53;
+ }
+ if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ exp_y = (y & MASK_BINARY_EXPONENT2) >> 51;
+ } else {
+ exp_y = (y & MASK_BINARY_EXPONENT1) >> 53;
+ }
+ res = (exp_x == exp_y);
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_totalOrder (int *pres, UINT64 * px,
+ UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+ UINT64 y = *py;
+#else
+int
+bid64_totalOrder (UINT64 x, UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ int exp_x, exp_y;
+ UINT64 sig_x, sig_y, pyld_y, pyld_x;
+ UINT128 sig_n_prime;
+ char x_is_zero = 0, y_is_zero = 0;
+
+ // NaN (CASE1)
+ // if x and y are unordered numerically because either operand is NaN
+ // (1) totalOrder(-NaN, number) is true
+ // (2) totalOrder(number, +NaN) is true
+ // (3) if x and y are both NaN:
+ // i) negative sign bit < positive sign bit
+ // ii) signaling < quiet for +NaN, reverse for -NaN
+ // iii) lesser payload < greater payload for +NaN (reverse for -NaN)
+ // iv) else if bitwise identical (in canonical form), return 1
+ if ((x & MASK_NAN) == MASK_NAN) {
+ // if x is -NaN
+ if ((x & MASK_SIGN) == MASK_SIGN) {
+ // return true, unless y is -NaN also
+ if ((y & MASK_NAN) != MASK_NAN || (y & MASK_SIGN) != MASK_SIGN) {
+ res = 1; // y is a number, return 1
+ BID_RETURN (res);
+ } else { // if y and x are both -NaN
+ // if x and y are both -sNaN or both -qNaN, we have to compare payloads
+ // this xnor statement evaluates to true if both are sNaN or qNaN
+ if (!
+ (((y & MASK_SNAN) == MASK_SNAN) ^ ((x & MASK_SNAN) ==
+ MASK_SNAN))) {
+ // it comes down to the payload. we want to return true if x has a
+ // larger payload, or if the payloads are equal (canonical forms
+ // are bitwise identical)
+ pyld_y = y & 0x0003ffffffffffffull;
+ pyld_x = x & 0x0003ffffffffffffull;
+ if (pyld_y > 999999999999999ull || pyld_y == 0) {
+ // if y is zero, x must be less than or numerically equal
+ // y's payload is 0
+ res = 1;
+ BID_RETURN (res);
+ }
+ // if x is zero and y isn't, x has the smaller payload
+ // definitely (since we know y isn't 0 at this point)
+ if (pyld_x > 999999999999999ull || pyld_x == 0) {
+ // x's payload is 0
+ res = 0;
+ BID_RETURN (res);
+ }
+ res = (pyld_x >= pyld_y);
+ BID_RETURN (res);
+ } else {
+ // either x = -sNaN and y = -qNaN or x = -qNaN and y = -sNaN
+ res = (y & MASK_SNAN) == MASK_SNAN; // totalOrder(-qNaN, -sNaN) == 1
+ BID_RETURN (res);
+ }
+ }
+ } else { // x is +NaN
+ // return false, unless y is +NaN also
+ if ((y & MASK_NAN) != MASK_NAN || (y & MASK_SIGN) == MASK_SIGN) {
+ res = 0; // y is a number, return 1
+ BID_RETURN (res);
+ } else {
+ // x and y are both +NaN;
+ // must investigate payload if both quiet or both signaling
+ // this xnor statement will be true if both x and y are +qNaN or +sNaN
+ if (!
+ (((y & MASK_SNAN) == MASK_SNAN) ^ ((x & MASK_SNAN) ==
+ MASK_SNAN))) {
+ // it comes down to the payload. we want to return true if x has a
+ // smaller payload, or if the payloads are equal (canonical forms
+ // are bitwise identical)
+ pyld_y = y & 0x0003ffffffffffffull;
+ pyld_x = x & 0x0003ffffffffffffull;
+ // if x is zero and y isn't, x has the smaller
+ // payload definitely (since we know y isn't 0 at this point)
+ if (pyld_x > 999999999999999ull || pyld_x == 0) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ if (pyld_y > 999999999999999ull || pyld_y == 0) {
+ // if y is zero, x must be less than or numerically equal
+ res = 0;
+ BID_RETURN (res);
+ }
+ res = (pyld_x <= pyld_y);
+ BID_RETURN (res);
+ } else {
+ // return true if y is +qNaN and x is +sNaN
+ // (we know they're different bc of xor if_stmt above)
+ res = ((x & MASK_SNAN) == MASK_SNAN);
+ BID_RETURN (res);
+ }
+ }
+ }
+ } else if ((y & MASK_NAN) == MASK_NAN) {
+ // x is certainly not NAN in this case.
+ // return true if y is positive
+ res = ((y & MASK_SIGN) != MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // SIMPLE (CASE2)
+ // if all the bits are the same, these numbers are equal.
+ if (x == y) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ // OPPOSITE SIGNS (CASE 3)
+ // if signs are opposite, return 1 if x is negative
+ // (if x<y, totalOrder is true)
+ if (((x & MASK_SIGN) == MASK_SIGN) ^ ((y & MASK_SIGN) == MASK_SIGN)) {
+ res = (x & MASK_SIGN) == MASK_SIGN;
+ BID_RETURN (res);
+ }
+ // INFINITY (CASE4)
+ if ((x & MASK_INF) == MASK_INF) {
+ // if x==neg_inf, return (y == neg_inf)?1:0;
+ if ((x & MASK_SIGN) == MASK_SIGN) {
+ res = 1;
+ BID_RETURN (res);
+ } else {
+ // x is positive infinity, only return1 if y
+ // is positive infinity as well
+ // (we know y has same sign as x)
+ res = ((y & MASK_INF) == MASK_INF);
+ BID_RETURN (res);
+ }
+ } else if ((y & MASK_INF) == MASK_INF) {
+ // x is finite, so:
+ // if y is +inf, x<y
+ // if y is -inf, x>y
+ res = ((y & MASK_SIGN) != MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] =>
+ if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ exp_x = (x & MASK_BINARY_EXPONENT2) >> 51;
+ sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ if (sig_x > 9999999999999999ull || sig_x == 0) {
+ x_is_zero = 1;
+ }
+ } else {
+ exp_x = (x & MASK_BINARY_EXPONENT1) >> 53;
+ sig_x = (x & MASK_BINARY_SIG1);
+ if (sig_x == 0) {
+ x_is_zero = 1;
+ }
+ }
+
+ // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] =>
+ if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ exp_y = (y & MASK_BINARY_EXPONENT2) >> 51;
+ sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ if (sig_y > 9999999999999999ull || sig_y == 0) {
+ y_is_zero = 1;
+ }
+ } else {
+ exp_y = (y & MASK_BINARY_EXPONENT1) >> 53;
+ sig_y = (y & MASK_BINARY_SIG1);
+ if (sig_y == 0) {
+ y_is_zero = 1;
+ }
+ }
+
+ // ZERO (CASE 5)
+ // if x and y represent the same entities, and
+ // both are negative , return true iff exp_x <= exp_y
+ if (x_is_zero && y_is_zero) {
+ if (!((x & MASK_SIGN) == MASK_SIGN) ^
+ ((y & MASK_SIGN) == MASK_SIGN)) {
+ // if signs are the same:
+ // totalOrder(x,y) iff exp_x >= exp_y for negative numbers
+ // totalOrder(x,y) iff exp_x <= exp_y for positive numbers
+ if (exp_x == exp_y) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ res = (exp_x <= exp_y) ^ ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ } else {
+ // signs are different.
+ // totalOrder(-0, +0) is true
+ // totalOrder(+0, -0) is false
+ res = ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ }
+ }
+ // if x is zero and y isn't, clearly x has the smaller payload.
+ if (x_is_zero) {
+ res = ((y & MASK_SIGN) != MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // if y is zero, and x isn't, clearly y has the smaller payload.
+ if (y_is_zero) {
+ res = ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // REDUNDANT REPRESENTATIONS (CASE6)
+ // if both components are either bigger or smaller,
+ // it is clear what needs to be done
+ if (sig_x > sig_y && exp_x >= exp_y) {
+ res = ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ }
+ if (sig_x < sig_y && exp_x <= exp_y) {
+ res = ((x & MASK_SIGN) != MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // if exp_x is 15 greater than exp_y, it is
+ // definitely larger, so no need for compensation
+ if (exp_x - exp_y > 15) {
+ // difference cannot be greater than 10^15
+ res = ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // if exp_x is 15 less than exp_y, it is
+ // definitely smaller, no need for compensation
+ if (exp_y - exp_x > 15) {
+ res = ((x & MASK_SIGN) != MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // if |exp_x - exp_y| < 15, it comes down
+ // to the compensated significand
+ if (exp_x > exp_y) {
+ // otherwise adjust the x significand upwards
+ __mul_64x64_to_128MACH (sig_n_prime, sig_x,
+ mult_factor[exp_x - exp_y]);
+ // if x and y represent the same entities,
+ // and both are negative, return true iff exp_x <= exp_y
+ if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) {
+ // case cannot occure, because all bits must
+ // be the same - would have been caught if (x==y)
+ res = (exp_x <= exp_y) ^ ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // if positive, return 1 if adjusted x is smaller than y
+ res = ((sig_n_prime.w[1] == 0)
+ && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) ==
+ MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // adjust the y significand upwards
+ __mul_64x64_to_128MACH (sig_n_prime, sig_y,
+ mult_factor[exp_y - exp_x]);
+
+ // if x and y represent the same entities,
+ // and both are negative, return true iff exp_x <= exp_y
+ if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) {
+ // Cannot occur, because all bits must be the same.
+ // Case would have been caught if (x==y)
+ res = (exp_x <= exp_y) ^ ((x & MASK_SIGN) == MASK_SIGN);
+ BID_RETURN (res);
+ }
+ // values are not equal, for positive numbers return 1
+ // if x is less than y. 0 otherwise
+ res = ((sig_n_prime.w[1] > 0)
+ || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) ==
+ MASK_SIGN);
+ BID_RETURN (res);
+}
+
+// totalOrderMag is TotalOrder(abs(x), abs(y))
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_totalOrderMag (int *pres, UINT64 * px,
+ UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+ UINT64 y = *py;
+#else
+int
+bid64_totalOrderMag (UINT64 x,
+ UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ int exp_x, exp_y;
+ UINT64 sig_x, sig_y, pyld_y, pyld_x;
+ UINT128 sig_n_prime;
+ char x_is_zero = 0, y_is_zero = 0;
+
+ // NaN (CASE 1)
+ // if x and y are unordered numerically because either operand is NaN
+ // (1) totalOrder(number, +NaN) is true
+ // (2) if x and y are both NaN:
+ // i) signaling < quiet for +NaN
+ // ii) lesser payload < greater payload for +NaN
+ // iii) else if bitwise identical (in canonical form), return 1
+ if ((x & MASK_NAN) == MASK_NAN) {
+ // x is +NaN
+
+ // return false, unless y is +NaN also
+ if ((y & MASK_NAN) != MASK_NAN) {
+ res = 0; // y is a number, return 1
+ BID_RETURN (res);
+
+ } else {
+
+ // x and y are both +NaN;
+ // must investigate payload if both quiet or both signaling
+ // this xnor statement will be true if both x and y are +qNaN or +sNaN
+ if (!
+ (((y & MASK_SNAN) == MASK_SNAN) ^ ((x & MASK_SNAN) ==
+ MASK_SNAN))) {
+ // it comes down to the payload. we want to return true if x has a
+ // smaller payload, or if the payloads are equal (canonical forms
+ // are bitwise identical)
+ pyld_y = y & 0x0003ffffffffffffull;
+ pyld_x = x & 0x0003ffffffffffffull;
+ // if x is zero and y isn't, x has the smaller
+ // payload definitely (since we know y isn't 0 at this point)
+ if (pyld_x > 999999999999999ull || pyld_x == 0) {
+ res = 1;
+ BID_RETURN (res);
+ }
+
+ if (pyld_y > 999999999999999ull || pyld_y == 0) {
+ // if y is zero, x must be less than or numerically equal
+ res = 0;
+ BID_RETURN (res);
+ }
+ res = (pyld_x <= pyld_y);
+ BID_RETURN (res);
+
+ } else {
+ // return true if y is +qNaN and x is +sNaN
+ // (we know they're different bc of xor if_stmt above)
+ res = ((x & MASK_SNAN) == MASK_SNAN);
+ BID_RETURN (res);
+ }
+ }
+
+ } else if ((y & MASK_NAN) == MASK_NAN) {
+ // x is certainly not NAN in this case.
+ // return true if y is positive
+ res = 1;
+ BID_RETURN (res);
+ }
+ // SIMPLE (CASE2)
+ // if all the bits (except sign bit) are the same,
+ // these numbers are equal.
+ if ((x & ~MASK_SIGN) == (y & ~MASK_SIGN)) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ // INFINITY (CASE3)
+ if ((x & MASK_INF) == MASK_INF) {
+ // x is positive infinity, only return1
+ // if y is positive infinity as well
+ res = ((y & MASK_INF) == MASK_INF);
+ BID_RETURN (res);
+ } else if ((y & MASK_INF) == MASK_INF) {
+ // x is finite, so:
+ // if y is +inf, x<y
+ res = 1;
+ BID_RETURN (res);
+ }
+ // if steering bits are 11 (condition will be 0),
+ // then exponent is G[0:w+1] =>
+ if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ exp_x = (x & MASK_BINARY_EXPONENT2) >> 51;
+ sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ if (sig_x > 9999999999999999ull || sig_x == 0) {
+ x_is_zero = 1;
+ }
+ } else {
+ exp_x = (x & MASK_BINARY_EXPONENT1) >> 53;
+ sig_x = (x & MASK_BINARY_SIG1);
+ if (sig_x == 0) {
+ x_is_zero = 1;
+ }
+ }
+
+ // if steering bits are 11 (condition will be 0),
+ // then exponent is G[0:w+1] =>
+ if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) {
+ exp_y = (y & MASK_BINARY_EXPONENT2) >> 51;
+ sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2;
+ if (sig_y > 9999999999999999ull || sig_y == 0) {
+ y_is_zero = 1;
+ }
+ } else {
+ exp_y = (y & MASK_BINARY_EXPONENT1) >> 53;
+ sig_y = (y & MASK_BINARY_SIG1);
+ if (sig_y == 0) {
+ y_is_zero = 1;
+ }
+ }
+
+ // ZERO (CASE 5)
+ // if x and y represent the same entities,
+ // and both are negative , return true iff exp_x <= exp_y
+ if (x_is_zero && y_is_zero) {
+ // totalOrder(x,y) iff exp_x <= exp_y for positive numbers
+ res = (exp_x <= exp_y);
+ BID_RETURN (res);
+ }
+ // if x is zero and y isn't, clearly x has the smaller payload.
+ if (x_is_zero) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ // if y is zero, and x isn't, clearly y has the smaller payload.
+ if (y_is_zero) {
+ res = 0;
+ BID_RETURN (res);
+ }
+ // REDUNDANT REPRESENTATIONS (CASE6)
+ // if both components are either bigger or smaller
+ if (sig_x > sig_y && exp_x >= exp_y) {
+ res = 0;
+ BID_RETURN (res);
+ }
+ if (sig_x < sig_y && exp_x <= exp_y) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ // if exp_x is 15 greater than exp_y, it is definitely
+ // larger, so no need for compensation
+ if (exp_x - exp_y > 15) {
+ res = 0; // difference cannot be greater than 10^15
+ BID_RETURN (res);
+ }
+ // if exp_x is 15 less than exp_y, it is definitely
+ // smaller, no need for compensation
+ if (exp_y - exp_x > 15) {
+ res = 1;
+ BID_RETURN (res);
+ }
+ // if |exp_x - exp_y| < 15, it comes down
+ // to the compensated significand
+ if (exp_x > exp_y) {
+
+ // otherwise adjust the x significand upwards
+ __mul_64x64_to_128MACH (sig_n_prime, sig_x,
+ mult_factor[exp_x - exp_y]);
+
+ // if x and y represent the same entities,
+ // and both are negative, return true iff exp_x <= exp_y
+ if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) {
+ // case cannot occur, because all bits
+ // must be the same - would have been caught if (x==y)
+ res = (exp_x <= exp_y);
+ BID_RETURN (res);
+ }
+ // if positive, return 1 if adjusted x is smaller than y
+ res = ((sig_n_prime.w[1] == 0) && sig_n_prime.w[0] < sig_y);
+ BID_RETURN (res);
+ }
+ // adjust the y significand upwards
+ __mul_64x64_to_128MACH (sig_n_prime, sig_y,
+ mult_factor[exp_y - exp_x]);
+
+ // if x and y represent the same entities,
+ // and both are negative, return true iff exp_x <= exp_y
+ if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) {
+ res = (exp_x <= exp_y);
+ BID_RETURN (res);
+ }
+ // values are not equal, for positive numbers
+ // return 1 if x is less than y. 0 otherwise
+ res = ((sig_n_prime.w[1] > 0) || (sig_x < sig_n_prime.w[0]));
+ BID_RETURN (res);
+
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_radix (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+int
+bid64_radix (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ int res;
+ if (x) // dummy test
+ res = 10;
+ else
+ res = 10;
+ BID_RETURN (res);
+}
projects / msp430-gcc.git / blobdiff