#define one_exp 0x3FFF
#define one_sig LIT64(0x8000000000000000)
+#define SET_PREC \
+ int8_t user_rnd_mode, user_rnd_prec; \
+ user_rnd_mode = status->float_rounding_mode; \
+ user_rnd_prec = status->floatx80_rounding_precision; \
+ status->float_rounding_mode = float_round_nearest_even; \
+ status->floatx80_rounding_precision = 80
+
+#define RESET_PREC \
+ status->float_rounding_mode = user_rnd_mode; \
+ status->floatx80_rounding_precision = user_rnd_prec
/*----------------------------------------------------------------------------
| Function for compactifying extended double-precision floating point values.
*----------------------------------------------------------------------------*/
-int32_t floatx80_make_compact(int32_t aExp, uint64_t aSig)
+static int32_t floatx80_make_compact(int32_t aExp, uint64_t aSig)
{
- return (aExp<<16)|(aSig>>48);
+ return (aExp<<16)|(aSig>>48);
}
floatx80 floatx80_acos(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact;
- floatx80 fp0, fp1, one;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF && (uint64_t) (aSig<<1)) {
- return propagateFloatx80NaNOneArg(a, status);
- }
- if (aExp == 0 && aSig == 0) {
- float_raise(float_flag_inexact, status);
- return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, piby2_exp, pi_sig, 0, status);
- }
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact >= 0x3FFF8000) { // |X| >= 1
- if (aExp == one_exp && aSig == one_sig) { // |X| == 1
- if (aSign) { // X == -1
- a = packFloatx80(0, pi_exp, pi_sig);
- float_raise(float_flag_inexact, status);
- return floatx80_move(a, status);
- } else { // X == +1
- return packFloatx80(0, 0, 0);
- }
- } else { // |X| > 1
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
- } // |X| < 1
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- one = packFloatx80(0, one_exp, one_sig);
- fp0 = a;
-
- fp1 = floatx80_add(one, fp0, status); // 1 + X
- fp0 = floatx80_sub(one, fp0, status); // 1 - X
- fp0 = floatx80_div(fp0, fp1, status); // (1-X)/(1+X)
- fp0 = floatx80_sqrt(fp0, status); // SQRT((1-X)/(1+X))
- fp0 = floatx80_atan(fp0, status); // ATAN(SQRT((1-X)/(1+X)))
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, fp0, status); // 2 * ATAN(SQRT((1-X)/(1+X)))
-
- float_raise(float_flag_inexact, status);
-
- return a;
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+
+ int32_t compact;
+ floatx80 fp0, fp1, one;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF && (uint64_t) (aSig<<1)) {
+ return propagateFloatx80NaNOneArg(a, status);
+ }
+ if (aExp == 0 && aSig == 0) {
+ float_raise(float_flag_inexact, status);
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, piby2_exp, pi_sig, 0, status);
+ }
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact >= 0x3FFF8000) { // |X| >= 1
+ if (aExp == one_exp && aSig == one_sig) { // |X| == 1
+ if (aSign) { // X == -1
+ a = packFloatx80(0, pi_exp, pi_sig);
+ float_raise(float_flag_inexact, status);
+ return floatx80_move(a, status);
+ } else { // X == +1
+ return packFloatx80(0, 0, 0);
+ }
+ } else { // |X| > 1
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+ } // |X| < 1
+
+ SET_PREC;
+
+ one = packFloatx80(0, one_exp, one_sig);
+ fp0 = a;
+
+ fp1 = floatx80_add(one, fp0, status); // 1 + X
+ fp0 = floatx80_sub(one, fp0, status); // 1 - X
+ fp0 = floatx80_div(fp0, fp1, status); // (1-X)/(1+X)
+ fp0 = floatx80_sqrt(fp0, status); // SQRT((1-X)/(1+X))
+ fp0 = floatx80_atan(fp0, status); // ATAN(SQRT((1-X)/(1+X)))
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, fp0, status); // 2 * ATAN(SQRT((1-X)/(1+X)))
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
}
/*----------------------------------------------------------------------------
floatx80 floatx80_asin(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact;
- floatx80 fp0, fp1, fp2, one;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF && (uint64_t) (aSig<<1)) {
- return propagateFloatx80NaNOneArg(a, status);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact >= 0x3FFF8000) { // |X| >= 1
- if (aExp == one_exp && aSig == one_sig) { // |X| == 1
- float_raise(float_flag_inexact, status);
- a = packFloatx80(aSign, piby2_exp, pi_sig);
- return floatx80_move(a, status);
- } else { // |X| > 1
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- } // |X| < 1
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- one = packFloatx80(0, one_exp, one_sig);
- fp0 = a;
-
- fp1 = floatx80_sub(one, fp0, status); // 1 - X
- fp2 = floatx80_add(one, fp0, status); // 1 + X
- fp1 = floatx80_mul(fp2, fp1, status); // (1+X)*(1-X)
- fp1 = floatx80_sqrt(fp1, status); // SQRT((1+X)*(1-X))
- fp0 = floatx80_div(fp0, fp1, status); // X/SQRT((1+X)*(1-X))
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_atan(fp0, status); // ATAN(X/SQRT((1+X)*(1-X)))
-
- float_raise(float_flag_inexact, status);
-
- return a;
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact;
+ floatx80 fp0, fp1, fp2, one;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF && (uint64_t) (aSig<<1)) {
+ return propagateFloatx80NaNOneArg(a, status);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact >= 0x3FFF8000) { // |X| >= 1
+ if (aExp == one_exp && aSig == one_sig) { // |X| == 1
+ float_raise(float_flag_inexact, status);
+ a = packFloatx80(aSign, piby2_exp, pi_sig);
+ return floatx80_move(a, status);
+ } else { // |X| > 1
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ } // |X| < 1
+
+ SET_PREC;
+
+ one = packFloatx80(0, one_exp, one_sig);
+ fp0 = a;
+
+ fp1 = floatx80_sub(one, fp0, status); // 1 - X
+ fp2 = floatx80_add(one, fp0, status); // 1 + X
+ fp1 = floatx80_mul(fp2, fp1, status); // (1+X)*(1-X)
+ fp1 = floatx80_sqrt(fp1, status); // SQRT((1+X)*(1-X))
+ fp0 = floatx80_div(fp0, fp1, status); // X/SQRT((1+X)*(1-X))
+
+ RESET_PREC;
+
+ a = floatx80_atan(fp0, status); // ATAN(X/SQRT((1+X)*(1-X)))
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
}
/*----------------------------------------------------------------------------
floatx80 floatx80_atan(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, tbl_index;
- floatx80 fp0, fp1, fp2, fp3, xsave;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- a = packFloatx80(aSign, piby2_exp, pi_sig);
- float_raise(float_flag_inexact, status);
- return floatx80_move(a, status);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- compact = floatx80_make_compact(aExp, aSig);
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- if (compact < 0x3FFB8000 || compact > 0x4002FFFF) { // |X| >= 16 or |X| < 1/16
- if (compact > 0x3FFF8000) { // |X| >= 16
- if (compact > 0x40638000) { // |X| > 2^(100)
- fp0 = packFloatx80(aSign, piby2_exp, pi_sig);
- fp1 = packFloatx80(aSign, 0x0001, one_sig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_sub(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- fp0 = a;
- fp1 = packFloatx80(1, one_exp, one_sig); // -1
- fp1 = floatx80_div(fp1, fp0, status); // X' = -1/X
- xsave = fp1;
- fp0 = floatx80_mul(fp1, fp1, status); // Y = X'*X'
- fp1 = floatx80_mul(fp0, fp0, status); // Z = Y*Y
- fp3 = float64_to_floatx80(LIT64(0xBFB70BF398539E6A), status); // C5
- fp2 = float64_to_floatx80(LIT64(0x3FBC7187962D1D7D), status); // C4
- fp3 = floatx80_mul(fp3, fp1, status); // Z*C5
- fp2 = floatx80_mul(fp2, fp1, status); // Z*C4
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBFC24924827107B8), status), status); // C3+Z*C5
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FC999999996263E), status), status); // C2+Z*C4
- fp1 = floatx80_mul(fp1, fp3, status); // Z*(C3+Z*C5)
- fp2 = floatx80_mul(fp2, fp0, status); // Y*(C2+Z*C4)
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0xBFD5555555555536), status), status); // C1+Z*(C3+Z*C5)
- fp0 = floatx80_mul(fp0, xsave, status); // X'*Y
- fp1 = floatx80_add(fp1, fp2, status); // [Y*(C2+Z*C4)]+[C1+Z*(C3+Z*C5)]
- fp0 = floatx80_mul(fp0, fp1, status); // X'*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]) ??
- fp0 = floatx80_add(fp0, xsave, status);
- fp1 = packFloatx80(aSign, piby2_exp, pi_sig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else { // |X| < 1/16
- if (compact < 0x3FD78000) { // |X| < 2^(-40)
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_move(a, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- fp0 = a;
- xsave = a;
- fp0 = floatx80_mul(fp0, fp0, status); // Y = X*X
- fp1 = floatx80_mul(fp0, fp0, status); // Z = Y*Y
- fp2 = float64_to_floatx80(LIT64(0x3FB344447F876989), status); // B6
- fp3 = float64_to_floatx80(LIT64(0xBFB744EE7FAF45DB), status); // B5
- fp2 = floatx80_mul(fp2, fp1, status); // Z*B6
- fp3 = floatx80_mul(fp3, fp1, status); // Z*B5
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FBC71C646940220), status), status); // B4+Z*B6
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBFC24924921872F9), status), status); // B3+Z*B5
- fp2 = floatx80_mul(fp2, fp1, status); // Z*(B4+Z*B6)
- fp1 = floatx80_mul(fp1, fp3, status); // Z*(B3+Z*B5)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FC9999999998FA9), status), status); // B2+Z*(B4+Z*B6)
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0xBFD5555555555555), status), status); // B1+Z*(B3+Z*B5)
- fp2 = floatx80_mul(fp2, fp0, status); // Y*(B2+Z*(B4+Z*B6))
- fp0 = floatx80_mul(fp0, xsave, status); // X*Y
- fp1 = floatx80_add(fp1, fp2, status); // [B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]
- fp0 = floatx80_mul(fp0, fp1, status); // X*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))])
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, xsave, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
- } else {
- aSig &= LIT64(0xF800000000000000);
- aSig |= LIT64(0x0400000000000000);
- xsave = packFloatx80(aSign, aExp, aSig); // F
- fp0 = a;
- fp1 = a; // X
- fp2 = packFloatx80(0, one_exp, one_sig); // 1
- fp1 = floatx80_mul(fp1, xsave, status); // X*F
- fp0 = floatx80_sub(fp0, xsave, status); // X-F
- fp1 = floatx80_add(fp1, fp2, status); // 1 + X*F
- fp0 = floatx80_div(fp0, fp1, status); // U = (X-F)/(1+X*F)
-
- tbl_index = compact;
-
- tbl_index &= 0x7FFF0000;
- tbl_index -= 0x3FFB0000;
- tbl_index >>= 1;
- tbl_index += compact&0x00007800;
- tbl_index >>= 11;
-
- fp3 = atan_tbl[tbl_index];
-
- fp3.high |= aSign ? 0x8000 : 0; // ATAN(F)
-
- fp1 = floatx80_mul(fp0, fp0, status); // V = U*U
- fp2 = float64_to_floatx80(LIT64(0xBFF6687E314987D8), status); // A3
- fp2 = floatx80_add(fp2, fp1, status); // A3+V
- fp2 = floatx80_mul(fp2, fp1, status); // V*(A3+V)
- fp1 = floatx80_mul(fp1, fp0, status); // U*V
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x4002AC6934A26DB3), status), status); // A2+V*(A3+V)
- fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0xBFC2476F4E1DA28E), status), status); // A1+U*V
- fp1 = floatx80_mul(fp1, fp2, status); // A1*U*V*(A2+V*(A3+V))
- fp0 = floatx80_add(fp0, fp1, status); // ATAN(U)
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, fp3, status); // ATAN(X)
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact, tbl_index;
+ floatx80 fp0, fp1, fp2, fp3, xsave;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ a = packFloatx80(aSign, piby2_exp, pi_sig);
+ float_raise(float_flag_inexact, status);
+ return floatx80_move(a, status);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ SET_PREC;
+
+ if (compact < 0x3FFB8000 || compact > 0x4002FFFF) { // |X| >= 16 or |X| < 1/16
+ if (compact > 0x3FFF8000) { // |X| >= 16
+ if (compact > 0x40638000) { // |X| > 2^(100)
+ fp0 = packFloatx80(aSign, piby2_exp, pi_sig);
+ fp1 = packFloatx80(aSign, 0x0001, one_sig);
+
+ RESET_PREC;
+
+ a = floatx80_sub(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ fp0 = a;
+ fp1 = packFloatx80(1, one_exp, one_sig); // -1
+ fp1 = floatx80_div(fp1, fp0, status); // X' = -1/X
+ xsave = fp1;
+ fp0 = floatx80_mul(fp1, fp1, status); // Y = X'*X'
+ fp1 = floatx80_mul(fp0, fp0, status); // Z = Y*Y
+ fp3 = float64_to_floatx80(LIT64(0xBFB70BF398539E6A), status); // C5
+ fp2 = float64_to_floatx80(LIT64(0x3FBC7187962D1D7D), status); // C4
+ fp3 = floatx80_mul(fp3, fp1, status); // Z*C5
+ fp2 = floatx80_mul(fp2, fp1, status); // Z*C4
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBFC24924827107B8), status), status); // C3+Z*C5
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FC999999996263E), status), status); // C2+Z*C4
+ fp1 = floatx80_mul(fp1, fp3, status); // Z*(C3+Z*C5)
+ fp2 = floatx80_mul(fp2, fp0, status); // Y*(C2+Z*C4)
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0xBFD5555555555536), status), status); // C1+Z*(C3+Z*C5)
+ fp0 = floatx80_mul(fp0, xsave, status); // X'*Y
+ fp1 = floatx80_add(fp1, fp2, status); // [Y*(C2+Z*C4)]+[C1+Z*(C3+Z*C5)]
+ fp0 = floatx80_mul(fp0, fp1, status); // X'*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]) ??
+ fp0 = floatx80_add(fp0, xsave, status);
+ fp1 = packFloatx80(aSign, piby2_exp, pi_sig);
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else { // |X| < 1/16
+ if (compact < 0x3FD78000) { // |X| < 2^(-40)
+ RESET_PREC;
+
+ a = floatx80_move(a, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ fp0 = a;
+ xsave = a;
+ fp0 = floatx80_mul(fp0, fp0, status); // Y = X*X
+ fp1 = floatx80_mul(fp0, fp0, status); // Z = Y*Y
+ fp2 = float64_to_floatx80(LIT64(0x3FB344447F876989), status); // B6
+ fp3 = float64_to_floatx80(LIT64(0xBFB744EE7FAF45DB), status); // B5
+ fp2 = floatx80_mul(fp2, fp1, status); // Z*B6
+ fp3 = floatx80_mul(fp3, fp1, status); // Z*B5
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FBC71C646940220), status), status); // B4+Z*B6
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBFC24924921872F9), status), status); // B3+Z*B5
+ fp2 = floatx80_mul(fp2, fp1, status); // Z*(B4+Z*B6)
+ fp1 = floatx80_mul(fp1, fp3, status); // Z*(B3+Z*B5)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FC9999999998FA9), status), status); // B2+Z*(B4+Z*B6)
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0xBFD5555555555555), status), status); // B1+Z*(B3+Z*B5)
+ fp2 = floatx80_mul(fp2, fp0, status); // Y*(B2+Z*(B4+Z*B6))
+ fp0 = floatx80_mul(fp0, xsave, status); // X*Y
+ fp1 = floatx80_add(fp1, fp2, status); // [B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))]
+ fp0 = floatx80_mul(fp0, fp1, status); // X*Y*([B1+Z*(B3+Z*B5)]+[Y*(B2+Z*(B4+Z*B6))])
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, xsave, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
+ } else {
+ aSig &= LIT64(0xF800000000000000);
+ aSig |= LIT64(0x0400000000000000);
+ xsave = packFloatx80(aSign, aExp, aSig); // F
+ fp0 = a;
+ fp1 = a; // X
+ fp2 = packFloatx80(0, one_exp, one_sig); // 1
+ fp1 = floatx80_mul(fp1, xsave, status); // X*F
+ fp0 = floatx80_sub(fp0, xsave, status); // X-F
+ fp1 = floatx80_add(fp1, fp2, status); // 1 + X*F
+ fp0 = floatx80_div(fp0, fp1, status); // U = (X-F)/(1+X*F)
+
+ tbl_index = compact;
+
+ tbl_index &= 0x7FFF0000;
+ tbl_index -= 0x3FFB0000;
+ tbl_index >>= 1;
+ tbl_index += compact&0x00007800;
+ tbl_index >>= 11;
+
+ fp3 = atan_tbl[tbl_index];
+
+ fp3.high |= aSign ? 0x8000 : 0; // ATAN(F)
+
+ fp1 = floatx80_mul(fp0, fp0, status); // V = U*U
+ fp2 = float64_to_floatx80(LIT64(0xBFF6687E314987D8), status); // A3
+ fp2 = floatx80_add(fp2, fp1, status); // A3+V
+ fp2 = floatx80_mul(fp2, fp1, status); // V*(A3+V)
+ fp1 = floatx80_mul(fp1, fp0, status); // U*V
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x4002AC6934A26DB3), status), status); // A2+V*(A3+V)
+ fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0xBFC2476F4E1DA28E), status), status); // A1+U*V
+ fp1 = floatx80_mul(fp1, fp2, status); // A1*U*V*(A2+V*(A3+V))
+ fp0 = floatx80_add(fp0, fp1, status); // ATAN(U)
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, fp3, status); // ATAN(X)
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_atanh(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact;
- floatx80 fp0, fp1, fp2, one;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF && (uint64_t) (aSig<<1)) {
- return propagateFloatx80NaNOneArg(a, status);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact >= 0x3FFF8000) { // |X| >= 1
- if (aExp == one_exp && aSig == one_sig) { // |X| == 1
- float_raise(float_flag_divbyzero, status);
- return packFloatx80(aSign, 0x7FFF, floatx80_default_infinity_low);
- } else { // |X| > 1
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
- } // |X| < 1
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- one = packFloatx80(0, one_exp, one_sig);
- fp2 = packFloatx80(aSign, 0x3FFE, one_sig); // SIGN(X) * (1/2)
- fp0 = packFloatx80(0, aExp, aSig); // Y = |X|
- fp1 = packFloatx80(1, aExp, aSig); // -Y
- fp0 = floatx80_add(fp0, fp0, status); // 2Y
- fp1 = floatx80_add(fp1, one, status); // 1-Y
- fp0 = floatx80_div(fp0, fp1, status); // Z = 2Y/(1-Y)
- fp0 = floatx80_lognp1(fp0, status); // LOG1P(Z)
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, fp2, status); // ATANH(X) = SIGN(X) * (1/2) * LOG1P(Z)
-
- float_raise(float_flag_inexact, status);
-
- return a;
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact;
+ floatx80 fp0, fp1, fp2, one;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF && (uint64_t) (aSig<<1)) {
+ return propagateFloatx80NaNOneArg(a, status);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact >= 0x3FFF8000) { // |X| >= 1
+ if (aExp == one_exp && aSig == one_sig) { // |X| == 1
+ float_raise(float_flag_divbyzero, status);
+ return packFloatx80(aSign, 0x7FFF, floatx80_default_infinity_low);
+ } else { // |X| > 1
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+ } // |X| < 1
+
+ SET_PREC;
+
+ one = packFloatx80(0, one_exp, one_sig);
+ fp2 = packFloatx80(aSign, 0x3FFE, one_sig); // SIGN(X) * (1/2)
+ fp0 = packFloatx80(0, aExp, aSig); // Y = |X|
+ fp1 = packFloatx80(1, aExp, aSig); // -Y
+ fp0 = floatx80_add(fp0, fp0, status); // 2Y
+ fp1 = floatx80_add(fp1, one, status); // 1-Y
+ fp0 = floatx80_div(fp0, fp1, status); // Z = 2Y/(1-Y)
+ fp0 = floatx80_lognp1(fp0, status); // LOG1P(Z)
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, fp2, status); // ATANH(X) = SIGN(X) * (1/2) * LOG1P(Z)
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
}
/*----------------------------------------------------------------------------
floatx80 floatx80_cos(floatx80 a, float_status *status)
{
- flag aSign, xSign;
- int32_t aExp, xExp;
- uint64_t aSig, xSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, l, n, j;
- floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2;
- float32 posneg1, twoto63;
- flag adjn, endflag;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(0, one_exp, one_sig);
- }
-
- adjn = 1;
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- fp0 = a;
-
- if (compact < 0x3FD78000 || compact > 0x4004BC7E) { // 2^(-40) > |X| > 15 PI
- if (compact > 0x3FFF8000) { // |X| >= 15 PI
- // REDUCEX
- fp1 = packFloatx80(0, 0, 0);
- if (compact == 0x7FFEFFFF) {
- twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, LIT64(0xC90FDAA200000000));
- twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, LIT64(0x85A308D300000000));
- fp0 = floatx80_add(fp0, twopi1, status);
- fp1 = fp0;
- fp0 = floatx80_add(fp0, twopi2, status);
- fp1 = floatx80_sub(fp1, fp0, status);
- fp1 = floatx80_add(fp1, twopi2, status);
- }
- loop:
- xSign = extractFloatx80Sign(fp0);
- xExp = extractFloatx80Exp(fp0);
- xExp -= 0x3FFF;
- if (xExp <= 28) {
- l = 0;
- endflag = 1;
- } else {
- l = xExp - 27;
- endflag = 0;
- }
- invtwopi = packFloatx80(0, 0x3FFE - l, LIT64(0xA2F9836E4E44152A)); // INVTWOPI
- twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
- twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
-
- twoto63 = 0x5F000000;
- twoto63 |= xSign ? 0x80000000 : 0x00000000; // SIGN(INARG)*2^63 IN SGL
-
- fp2 = floatx80_mul(fp0, invtwopi, status);
- fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), status); // THE FRACTIONAL PART OF FP2 IS ROUNDED
- fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), status); // FP2 is N
- fp4 = floatx80_mul(twopi1, fp2, status); // W = N*P1
- fp5 = floatx80_mul(twopi2, fp2, status); // w = N*P2
- fp3 = floatx80_add(fp4, fp5, status); // FP3 is P
- fp4 = floatx80_sub(fp4, fp3, status); // W-P
- fp0 = floatx80_sub(fp0, fp3, status); // FP0 is A := R - P
- fp4 = floatx80_add(fp4, fp5, status); // FP4 is p = (W-P)+w
- fp3 = fp0; // FP3 is A
- fp1 = floatx80_sub(fp1, fp4, status); // FP1 is a := r - p
- fp0 = floatx80_add(fp0, fp1, status); // FP0 is R := A+a
-
- if (endflag > 0) {
- n = floatx80_to_int32(fp2, status);
- goto sincont;
- }
- fp3 = floatx80_sub(fp3, fp0, status); // A-R
- fp1 = floatx80_add(fp1, fp3, status); // FP1 is r := (A-R)+a
- goto loop;
- } else {
- // SINSM
- fp0 = float32_to_floatx80(0x3F800000, status); // 1
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- if (adjn) {
- // COSTINY
- a = floatx80_sub(fp0, float32_to_floatx80(0x00800000, status), status);
- } else {
- // SINTINY
- a = floatx80_move(a, status);
- }
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else {
- fp1 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3FE45F306DC9C883), status), status); // X*2/PI
-
- n = floatx80_to_int32(fp1, status);
- j = 32 + n;
-
- fp0 = floatx80_sub(fp0, pi_tbl[j], status); // X-Y1
- fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), status); // FP0 IS R = (X-Y1)-Y2
-
- sincont:
- if ((n + adjn) & 1) {
- // COSPOLY
- fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
- fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
- fp2 = float64_to_floatx80(LIT64(0x3D2AC4D0D6011EE3), status); // B8
- fp3 = float64_to_floatx80(LIT64(0xBDA9396F9F45AC19), status); // B7
-
- xSign = extractFloatx80Sign(fp0); // X IS S
- xExp = extractFloatx80Exp(fp0);
- xSig = extractFloatx80Frac(fp0);
-
- if (((n + adjn) >> 1) & 1) {
- xSign ^= 1;
- posneg1 = 0xBF800000; // -1
- } else {
- xSign ^= 0;
- posneg1 = 0x3F800000; // 1
- } // X IS NOW R'= SGN*R
-
- fp2 = floatx80_mul(fp2, fp1, status); // TB8
- fp3 = floatx80_mul(fp3, fp1, status); // TB7
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3E21EED90612C972), status), status); // B6+TB8
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE927E4FB79D9FCF), status), status); // B5+TB7
- fp2 = floatx80_mul(fp2, fp1, status); // T(B6+TB8)
- fp3 = floatx80_mul(fp3, fp1, status); // T(B5+TB7)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EFA01A01A01D423), status), status); // B4+T(B6+TB8)
- fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438));
- fp3 = floatx80_add(fp3, fp4, status); // B3+T(B5+TB7)
- fp2 = floatx80_mul(fp2, fp1, status); // T(B4+T(B6+TB8))
- fp1 = floatx80_mul(fp1, fp3, status); // T(B3+T(B5+TB7))
- fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E));
- fp2 = floatx80_add(fp2, fp4, status); // B2+T(B4+T(B6+TB8))
- fp1 = floatx80_add(fp1, float32_to_floatx80(0xBF000000, status), status); // B1+T(B3+T(B5+TB7))
- fp0 = floatx80_mul(fp0, fp2, status); // S(B2+T(B4+T(B6+TB8)))
- fp0 = floatx80_add(fp0, fp1, status); // [B1+T(B3+T(B5+TB7))]+[S(B2+T(B4+T(B6+TB8)))]
-
- x = packFloatx80(xSign, xExp, xSig);
- fp0 = floatx80_mul(fp0, x, status);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- // SINPOLY
- xSign = extractFloatx80Sign(fp0); // X IS R
- xExp = extractFloatx80Exp(fp0);
- xSig = extractFloatx80Frac(fp0);
-
- xSign ^= ((n + adjn) >> 1) & 1; // X IS NOW R'= SGN*R
-
- fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
- fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
- fp3 = float64_to_floatx80(LIT64(0xBD6AAA77CCC994F5), status); // A7
- fp2 = float64_to_floatx80(LIT64(0x3DE612097AAE8DA1), status); // A6
- fp3 = floatx80_mul(fp3, fp1, status); // T*A7
- fp2 = floatx80_mul(fp2, fp1, status); // T*A6
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE5AE6452A118AE4), status), status); // A5+T*A7
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EC71DE3A5341531), status), status); // A4+T*A6
- fp3 = floatx80_mul(fp3, fp1, status); // T(A5+TA7)
- fp2 = floatx80_mul(fp2, fp1, status); // T(A4+TA6)
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF2A01A01A018B59), status), status); // A3+T(A5+TA7)
- fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF));
- fp2 = floatx80_add(fp2, fp4, status); // A2+T(A4+TA6)
- fp1 = floatx80_mul(fp1, fp3, status); // T(A3+T(A5+TA7))
- fp2 = floatx80_mul(fp2, fp0, status); // S(A2+T(A4+TA6))
- fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99));
- fp1 = floatx80_add(fp1, fp4, status); // A1+T(A3+T(A5+TA7))
- fp1 = floatx80_add(fp1, fp2, status); // [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))]
-
- x = packFloatx80(xSign, xExp, xSig);
- fp0 = floatx80_mul(fp0, x, status); // R'*S
- fp0 = floatx80_mul(fp0, fp1, status); // SIN(R')-R'
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, x, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
+ flag aSign, xSign;
+ int32_t aExp, xExp;
+ uint64_t aSig, xSig;
+
+ int32_t compact, l, n, j;
+ floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2;
+ float32 posneg1, twoto63;
+ flag adjn, endflag;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(0, one_exp, one_sig);
+ }
+
+ adjn = 1;
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ fp0 = a;
+
+ if (compact < 0x3FD78000 || compact > 0x4004BC7E) { // 2^(-40) > |X| > 15 PI
+ if (compact > 0x3FFF8000) { // |X| >= 15 PI
+ // REDUCEX
+ fp1 = packFloatx80(0, 0, 0);
+ if (compact == 0x7FFEFFFF) {
+ twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, LIT64(0xC90FDAA200000000));
+ twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, LIT64(0x85A308D300000000));
+ fp0 = floatx80_add(fp0, twopi1, status);
+ fp1 = fp0;
+ fp0 = floatx80_add(fp0, twopi2, status);
+ fp1 = floatx80_sub(fp1, fp0, status);
+ fp1 = floatx80_add(fp1, twopi2, status);
+ }
+ loop:
+ xSign = extractFloatx80Sign(fp0);
+ xExp = extractFloatx80Exp(fp0);
+ xExp -= 0x3FFF;
+ if (xExp <= 28) {
+ l = 0;
+ endflag = 1;
+ } else {
+ l = xExp - 27;
+ endflag = 0;
+ }
+ invtwopi = packFloatx80(0, 0x3FFE - l, LIT64(0xA2F9836E4E44152A)); // INVTWOPI
+ twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
+ twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
+
+ twoto63 = 0x5F000000;
+ twoto63 |= xSign ? 0x80000000 : 0x00000000; // SIGN(INARG)*2^63 IN SGL
+
+ fp2 = floatx80_mul(fp0, invtwopi, status);
+ fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), status); // THE FRACTIONAL PART OF FP2 IS ROUNDED
+ fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), status); // FP2 is N
+ fp4 = floatx80_mul(twopi1, fp2, status); // W = N*P1
+ fp5 = floatx80_mul(twopi2, fp2, status); // w = N*P2
+ fp3 = floatx80_add(fp4, fp5, status); // FP3 is P
+ fp4 = floatx80_sub(fp4, fp3, status); // W-P
+ fp0 = floatx80_sub(fp0, fp3, status); // FP0 is A := R - P
+ fp4 = floatx80_add(fp4, fp5, status); // FP4 is p = (W-P)+w
+ fp3 = fp0; // FP3 is A
+ fp1 = floatx80_sub(fp1, fp4, status); // FP1 is a := r - p
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 is R := A+a
+
+ if (endflag > 0) {
+ n = floatx80_to_int32(fp2, status);
+ goto sincont;
+ }
+ fp3 = floatx80_sub(fp3, fp0, status); // A-R
+ fp1 = floatx80_add(fp1, fp3, status); // FP1 is r := (A-R)+a
+ goto loop;
+ } else {
+ // SINSM
+ fp0 = float32_to_floatx80(0x3F800000, status); // 1
+
+ RESET_PREC;
+
+ if (adjn) {
+ // COSTINY
+ a = floatx80_sub(fp0, float32_to_floatx80(0x00800000, status), status);
+ } else {
+ // SINTINY
+ a = floatx80_move(a, status);
+ }
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else {
+ fp1 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3FE45F306DC9C883), status), status); // X*2/PI
+
+ n = floatx80_to_int32(fp1, status);
+ j = 32 + n;
+
+ fp0 = floatx80_sub(fp0, pi_tbl[j], status); // X-Y1
+ fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), status); // FP0 IS R = (X-Y1)-Y2
+
+ sincont:
+ if ((n + adjn) & 1) {
+ // COSPOLY
+ fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
+ fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
+ fp2 = float64_to_floatx80(LIT64(0x3D2AC4D0D6011EE3), status); // B8
+ fp3 = float64_to_floatx80(LIT64(0xBDA9396F9F45AC19), status); // B7
+
+ xSign = extractFloatx80Sign(fp0); // X IS S
+ xExp = extractFloatx80Exp(fp0);
+ xSig = extractFloatx80Frac(fp0);
+
+ if (((n + adjn) >> 1) & 1) {
+ xSign ^= 1;
+ posneg1 = 0xBF800000; // -1
+ } else {
+ xSign ^= 0;
+ posneg1 = 0x3F800000; // 1
+ } // X IS NOW R'= SGN*R
+
+ fp2 = floatx80_mul(fp2, fp1, status); // TB8
+ fp3 = floatx80_mul(fp3, fp1, status); // TB7
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3E21EED90612C972), status), status); // B6+TB8
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE927E4FB79D9FCF), status), status); // B5+TB7
+ fp2 = floatx80_mul(fp2, fp1, status); // T(B6+TB8)
+ fp3 = floatx80_mul(fp3, fp1, status); // T(B5+TB7)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EFA01A01A01D423), status), status); // B4+T(B6+TB8)
+ fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438));
+ fp3 = floatx80_add(fp3, fp4, status); // B3+T(B5+TB7)
+ fp2 = floatx80_mul(fp2, fp1, status); // T(B4+T(B6+TB8))
+ fp1 = floatx80_mul(fp1, fp3, status); // T(B3+T(B5+TB7))
+ fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E));
+ fp2 = floatx80_add(fp2, fp4, status); // B2+T(B4+T(B6+TB8))
+ fp1 = floatx80_add(fp1, float32_to_floatx80(0xBF000000, status), status); // B1+T(B3+T(B5+TB7))
+ fp0 = floatx80_mul(fp0, fp2, status); // S(B2+T(B4+T(B6+TB8)))
+ fp0 = floatx80_add(fp0, fp1, status); // [B1+T(B3+T(B5+TB7))]+[S(B2+T(B4+T(B6+TB8)))]
+
+ x = packFloatx80(xSign, xExp, xSig);
+ fp0 = floatx80_mul(fp0, x, status);
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ // SINPOLY
+ xSign = extractFloatx80Sign(fp0); // X IS R
+ xExp = extractFloatx80Exp(fp0);
+ xSig = extractFloatx80Frac(fp0);
+
+ xSign ^= ((n + adjn) >> 1) & 1; // X IS NOW R'= SGN*R
+
+ fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
+ fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
+ fp3 = float64_to_floatx80(LIT64(0xBD6AAA77CCC994F5), status); // A7
+ fp2 = float64_to_floatx80(LIT64(0x3DE612097AAE8DA1), status); // A6
+ fp3 = floatx80_mul(fp3, fp1, status); // T*A7
+ fp2 = floatx80_mul(fp2, fp1, status); // T*A6
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE5AE6452A118AE4), status), status); // A5+T*A7
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EC71DE3A5341531), status), status); // A4+T*A6
+ fp3 = floatx80_mul(fp3, fp1, status); // T(A5+TA7)
+ fp2 = floatx80_mul(fp2, fp1, status); // T(A4+TA6)
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF2A01A01A018B59), status), status); // A3+T(A5+TA7)
+ fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF));
+ fp2 = floatx80_add(fp2, fp4, status); // A2+T(A4+TA6)
+ fp1 = floatx80_mul(fp1, fp3, status); // T(A3+T(A5+TA7))
+ fp2 = floatx80_mul(fp2, fp0, status); // S(A2+T(A4+TA6))
+ fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99));
+ fp1 = floatx80_add(fp1, fp4, status); // A1+T(A3+T(A5+TA7))
+ fp1 = floatx80_add(fp1, fp2, status); // [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))]
+
+ x = packFloatx80(xSign, xExp, xSig);
+ fp0 = floatx80_mul(fp0, x, status); // R'*S
+ fp0 = floatx80_mul(fp0, fp1, status); // SIN(R')-R'
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, x, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_cosh(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact;
- floatx80 fp0, fp1;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(0, one_exp, one_sig);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact > 0x400CB167) {
- if (compact > 0x400CB2B3) {
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
- return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, one_sig, 0, status);
- } else {
- fp0 = packFloatx80(0, aExp, aSig);
- fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x40C62D38D3D64634), status), status);
- fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x3D6F90AEB1E75CC7), status), status);
- fp0 = floatx80_etox(fp0, status);
- fp1 = packFloatx80(0, 0x7FFB, one_sig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
-
- fp0 = packFloatx80(0, aExp, aSig); // |X|
- fp0 = floatx80_etox(fp0, status); // EXP(|X|)
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0x3F000000, status), status); // (1/2)*EXP(|X|)
- fp1 = float32_to_floatx80(0x3E800000, status); // 1/4
- fp1 = floatx80_div(fp1, fp0, status); // 1/(2*EXP(|X|))
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact;
+ floatx80 fp0, fp1;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(0, one_exp, one_sig);
+ }
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact > 0x400CB167) {
+ if (compact > 0x400CB2B3) {
+ RESET_PREC;
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, one_sig, 0, status);
+ } else {
+ fp0 = packFloatx80(0, aExp, aSig);
+ fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x40C62D38D3D64634), status), status);
+ fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x3D6F90AEB1E75CC7), status), status);
+ fp0 = floatx80_etox(fp0, status);
+ fp1 = packFloatx80(0, 0x7FFB, one_sig);
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
+
+ fp0 = packFloatx80(0, aExp, aSig); // |X|
+ fp0 = floatx80_etox(fp0, status); // EXP(|X|)
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0x3F000000, status), status); // (1/2)*EXP(|X|)
+ fp1 = float32_to_floatx80(0x3E800000, status); // 1/4
+ fp1 = floatx80_div(fp1, fp0, status); // 1/(2*EXP(|X|))
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
}
/*----------------------------------------------------------------------------
floatx80 floatx80_etox(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, n, j, k, m, m1;
- floatx80 fp0, fp1, fp2, fp3, l2, scale, adjscale;
- flag adjflag;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- if (aSign) return packFloatx80(0, 0, 0);
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(0, one_exp, one_sig);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- adjflag = 0;
-
- if (aExp >= 0x3FBE) { // |X| >= 2^(-65)
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact < 0x400CB167) { // |X| < 16380 log2
- fp0 = a;
- fp1 = a;
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0x42B8AA3B, status), status); // 64/log2 * X
- adjflag = 0;
- n = floatx80_to_int32(fp0, status); // int(64/log2*X)
- fp0 = int32_to_floatx80(n);
-
- j = n & 0x3F; // J = N mod 64
- m = n / 64; // NOTE: this is really arithmetic right shift by 6
- if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
- m--;
- }
- m += 0x3FFF; // biased exponent of 2^(M)
-
- expcont1:
- fp2 = fp0; // N
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0xBC317218, status), status); // N * L1, L1 = lead(-log2/64)
- l2 = packFloatx80(0, 0x3FDC, LIT64(0x82E308654361C4C6));
- fp2 = floatx80_mul(fp2, l2, status); // N * L2, L1+L2 = -log2/64
- fp0 = floatx80_add(fp0, fp1, status); // X + N*L1
- fp0 = floatx80_add(fp0, fp2, status); // R
-
- fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
- fp2 = float32_to_floatx80(0x3AB60B70, status); // A5
- fp2 = floatx80_mul(fp2, fp1, status); // fp2 is S*A5
- fp3 = floatx80_mul(float32_to_floatx80(0x3C088895, status), fp1, status); // fp3 is S*A4
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555554431), status), status); // fp2 is A3+S*A5
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FC5555555554018), status), status); // fp3 is A2+S*A4
- fp2 = floatx80_mul(fp2, fp1, status); // fp2 is S*(A3+S*A5)
- fp3 = floatx80_mul(fp3, fp1, status); // fp3 is S*(A2+S*A4)
- fp2 = floatx80_add(fp2, float32_to_floatx80(0x3F000000, status), status); // fp2 is A1+S*(A3+S*A5)
- fp3 = floatx80_mul(fp3, fp0, status); // fp3 IS R*S*(A2+S*A4)
- fp2 = floatx80_mul(fp2, fp1, status); // fp2 IS S*(A1+S*(A3+S*A5))
- fp0 = floatx80_add(fp0, fp3, status); // fp0 IS R+R*S*(A2+S*A4)
- fp0 = floatx80_add(fp0, fp2, status); // fp0 IS EXP(R) - 1
-
- fp1 = exp_tbl[j];
- fp0 = floatx80_mul(fp0, fp1, status); // 2^(J/64)*(Exp(R)-1)
- fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), status); // accurate 2^(J/64)
- fp0 = floatx80_add(fp0, fp1, status); // 2^(J/64) + 2^(J/64)*(Exp(R)-1)
-
- scale = packFloatx80(0, m, one_sig);
- if (adjflag) {
- adjscale = packFloatx80(0, m1, one_sig);
- fp0 = floatx80_mul(fp0, adjscale, status);
- }
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, scale, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else { // |X| >= 16380 log2
- if (compact > 0x400CB27C) { // |X| >= 16480 log2
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
- if (aSign) {
- a = roundAndPackFloatx80(status->floatx80_rounding_precision, 0, -0x1000, aSig, 0, status);
- } else {
- a = roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, aSig, 0, status);
- }
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- fp0 = a;
- fp1 = a;
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0x42B8AA3B, status), status); // 64/log2 * X
- adjflag = 1;
- n = floatx80_to_int32(fp0, status); // int(64/log2*X)
- fp0 = int32_to_floatx80(n);
-
- j = n & 0x3F; // J = N mod 64
- k = n / 64; // NOTE: this is really arithmetic right shift by 6
- if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
- k--;
- }
- m1 = k / 2; // NOTE: this is really arithmetic right shift by 1
- if (k < 0 && (k & 1)) { // arithmetic right shift is division and round towards minus infinity
- m1--;
- }
- m = k - m1;
- m1 += 0x3FFF; // biased exponent of 2^(M1)
- m += 0x3FFF; // biased exponent of 2^(M)
-
- goto expcont1;
- }
- }
- } else { // |X| < 2^(-65)
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(a, float32_to_floatx80(0x3F800000, status), status); // 1 + X
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact, n, j, k, m, m1;
+ floatx80 fp0, fp1, fp2, fp3, l2, scale, adjscale;
+ flag adjflag;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ if (aSign) return packFloatx80(0, 0, 0);
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(0, one_exp, one_sig);
+ }
+
+ SET_PREC;
+
+ adjflag = 0;
+
+ if (aExp >= 0x3FBE) { // |X| >= 2^(-65)
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact < 0x400CB167) { // |X| < 16380 log2
+ fp0 = a;
+ fp1 = a;
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0x42B8AA3B, status), status); // 64/log2 * X
+ adjflag = 0;
+ n = floatx80_to_int32(fp0, status); // int(64/log2*X)
+ fp0 = int32_to_floatx80(n);
+
+ j = n & 0x3F; // J = N mod 64
+ m = n / 64; // NOTE: this is really arithmetic right shift by 6
+ if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
+ m--;
+ }
+ m += 0x3FFF; // biased exponent of 2^(M)
+
+ expcont1:
+ fp2 = fp0; // N
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0xBC317218, status), status); // N * L1, L1 = lead(-log2/64)
+ l2 = packFloatx80(0, 0x3FDC, LIT64(0x82E308654361C4C6));
+ fp2 = floatx80_mul(fp2, l2, status); // N * L2, L1+L2 = -log2/64
+ fp0 = floatx80_add(fp0, fp1, status); // X + N*L1
+ fp0 = floatx80_add(fp0, fp2, status); // R
+
+ fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
+ fp2 = float32_to_floatx80(0x3AB60B70, status); // A5
+ fp2 = floatx80_mul(fp2, fp1, status); // fp2 is S*A5
+ fp3 = floatx80_mul(float32_to_floatx80(0x3C088895, status), fp1, status); // fp3 is S*A4
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555554431), status), status); // fp2 is A3+S*A5
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FC5555555554018), status), status); // fp3 is A2+S*A4
+ fp2 = floatx80_mul(fp2, fp1, status); // fp2 is S*(A3+S*A5)
+ fp3 = floatx80_mul(fp3, fp1, status); // fp3 is S*(A2+S*A4)
+ fp2 = floatx80_add(fp2, float32_to_floatx80(0x3F000000, status), status); // fp2 is A1+S*(A3+S*A5)
+ fp3 = floatx80_mul(fp3, fp0, status); // fp3 IS R*S*(A2+S*A4)
+ fp2 = floatx80_mul(fp2, fp1, status); // fp2 IS S*(A1+S*(A3+S*A5))
+ fp0 = floatx80_add(fp0, fp3, status); // fp0 IS R+R*S*(A2+S*A4)
+ fp0 = floatx80_add(fp0, fp2, status); // fp0 IS EXP(R) - 1
+
+ fp1 = exp_tbl[j];
+ fp0 = floatx80_mul(fp0, fp1, status); // 2^(J/64)*(Exp(R)-1)
+ fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), status); // accurate 2^(J/64)
+ fp0 = floatx80_add(fp0, fp1, status); // 2^(J/64) + 2^(J/64)*(Exp(R)-1)
+
+ scale = packFloatx80(0, m, one_sig);
+ if (adjflag) {
+ adjscale = packFloatx80(0, m1, one_sig);
+ fp0 = floatx80_mul(fp0, adjscale, status);
+ }
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, scale, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else { // |X| >= 16380 log2
+ if (compact > 0x400CB27C) { // |X| >= 16480 log2
+ RESET_PREC;
+ if (aSign) {
+ a = roundAndPackFloatx80(status->floatx80_rounding_precision, 0, -0x1000, aSig, 0, status);
+ } else {
+ a = roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, aSig, 0, status);
+ }
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ fp0 = a;
+ fp1 = a;
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0x42B8AA3B, status), status); // 64/log2 * X
+ adjflag = 1;
+ n = floatx80_to_int32(fp0, status); // int(64/log2*X)
+ fp0 = int32_to_floatx80(n);
+
+ j = n & 0x3F; // J = N mod 64
+ k = n / 64; // NOTE: this is really arithmetic right shift by 6
+ if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
+ k--;
+ }
+ m1 = k / 2; // NOTE: this is really arithmetic right shift by 1
+ if (k < 0 && (k & 1)) { // arithmetic right shift is division and round towards minus infinity
+ m1--;
+ }
+ m = k - m1;
+ m1 += 0x3FFF; // biased exponent of 2^(M1)
+ m += 0x3FFF; // biased exponent of 2^(M)
+
+ goto expcont1;
+ }
+ }
+ } else { // |X| < 2^(-65)
+ RESET_PREC;
+
+ a = floatx80_add(a, float32_to_floatx80(0x3F800000, status), status); // 1 + X
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_etoxm1(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, n, j, m, m1;
- floatx80 fp0, fp1, fp2, fp3, l2, sc, onebysc;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- if (aSign) return packFloatx80(aSign, one_exp, one_sig);
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- if (aExp >= 0x3FFD) { // |X| >= 1/4
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact <= 0x4004C215) { // |X| <= 70 log2
- fp0 = a;
- fp1 = a;
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0x42B8AA3B, status), status); // 64/log2 * X
- n = floatx80_to_int32(fp0, status); // int(64/log2*X)
- fp0 = int32_to_floatx80(n);
-
- j = n & 0x3F; // J = N mod 64
- m = n / 64; // NOTE: this is really arithmetic right shift by 6
- if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
- m--;
- }
- m1 = -m;
- //m += 0x3FFF; // biased exponent of 2^(M)
- //m1 += 0x3FFF; // biased exponent of -2^(-M)
-
- fp2 = fp0; // N
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0xBC317218, status), status); // N * L1, L1 = lead(-log2/64)
- l2 = packFloatx80(0, 0x3FDC, LIT64(0x82E308654361C4C6));
- fp2 = floatx80_mul(fp2, l2, status); // N * L2, L1+L2 = -log2/64
- fp0 = floatx80_add(fp0, fp1, status); // X + N*L1
- fp0 = floatx80_add(fp0, fp2, status); // R
-
- fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
- fp2 = float32_to_floatx80(0x3950097B, status); // A6
- fp2 = floatx80_mul(fp2, fp1, status); // fp2 is S*A6
- fp3 = floatx80_mul(float32_to_floatx80(0x3AB60B6A, status), fp1, status); // fp3 is S*A5
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F81111111174385), status), status); // fp2 IS A4+S*A6
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FA5555555554F5A), status), status); // fp3 is A3+S*A5
- fp2 = floatx80_mul(fp2, fp1, status); // fp2 IS S*(A4+S*A6)
- fp3 = floatx80_mul(fp3, fp1, status); // fp3 IS S*(A3+S*A5)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FC5555555555555), status), status); // fp2 IS A2+S*(A4+S*A6)
- fp3 = floatx80_add(fp3, float32_to_floatx80(0x3F000000, status), status); // fp3 IS A1+S*(A3+S*A5)
- fp2 = floatx80_mul(fp2, fp1, status); // fp2 IS S*(A2+S*(A4+S*A6))
- fp1 = floatx80_mul(fp1, fp3, status); // fp1 IS S*(A1+S*(A3+S*A5))
- fp2 = floatx80_mul(fp2, fp0, status); // fp2 IS R*S*(A2+S*(A4+S*A6))
- fp0 = floatx80_add(fp0, fp1, status); // fp0 IS R+S*(A1+S*(A3+S*A5))
- fp0 = floatx80_add(fp0, fp2, status); // fp0 IS EXP(R) - 1
-
- fp0 = floatx80_mul(fp0, exp_tbl[j], status); // 2^(J/64)*(Exp(R)-1)
-
- if (m >= 64) {
- fp1 = float32_to_floatx80(exp_tbl2[j], status);
- onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); // -2^(-M)
- fp1 = floatx80_add(fp1, onebysc, status);
- fp0 = floatx80_add(fp0, fp1, status);
- fp0 = floatx80_add(fp0, exp_tbl[j], status);
- } else if (m < -3) {
- fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), status);
- fp0 = floatx80_add(fp0, exp_tbl[j], status);
- onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); // -2^(-M)
- fp0 = floatx80_add(fp0, onebysc, status);
- } else { // -3 <= m <= 63
- fp1 = exp_tbl[j];
- fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), status);
- onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); // -2^(-M)
- fp1 = floatx80_add(fp1, onebysc, status);
- fp0 = floatx80_add(fp0, fp1, status);
- }
-
- sc = packFloatx80(0, m + 0x3FFF, one_sig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, sc, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else { // |X| > 70 log2
- if (aSign) {
- fp0 = float32_to_floatx80(0xBF800000, status); // -1
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, float32_to_floatx80(0x00800000, status), status); // -1 + 2^(-126)
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- return floatx80_etox(a, status);
- }
- }
- } else { // |X| < 1/4
- if (aExp >= 0x3FBE) {
- fp0 = a;
- fp0 = floatx80_mul(fp0, fp0, status); // S = X*X
- fp1 = float32_to_floatx80(0x2F30CAA8, status); // B12
- fp1 = floatx80_mul(fp1, fp0, status); // S * B12
- fp2 = float32_to_floatx80(0x310F8290, status); // B11
- fp1 = floatx80_add(fp1, float32_to_floatx80(0x32D73220, status), status); // B10
- fp2 = floatx80_mul(fp2, fp0, status);
- fp1 = floatx80_mul(fp1, fp0, status);
- fp2 = floatx80_add(fp2, float32_to_floatx80(0x3493F281, status), status); // B9
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3EC71DE3A5774682), status), status); // B8
- fp2 = floatx80_mul(fp2, fp0, status);
- fp1 = floatx80_mul(fp1, fp0, status);
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EFA01A019D7CB68), status), status); // B7
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3F2A01A01A019DF3), status), status); // B6
- fp2 = floatx80_mul(fp2, fp0, status);
- fp1 = floatx80_mul(fp1, fp0, status);
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F56C16C16C170E2), status), status); // B5
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3F81111111111111), status), status); // B4
- fp2 = floatx80_mul(fp2, fp0, status);
- fp1 = floatx80_mul(fp1, fp0, status);
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555555555), status), status); // B3
- fp3 = packFloatx80(0, 0x3FFC, LIT64(0xAAAAAAAAAAAAAAAB));
- fp1 = floatx80_add(fp1, fp3, status); // B2
- fp2 = floatx80_mul(fp2, fp0, status);
- fp1 = floatx80_mul(fp1, fp0, status);
-
- fp2 = floatx80_mul(fp2, fp0, status);
- fp1 = floatx80_mul(fp1, a, status);
-
- fp0 = floatx80_mul(fp0, float32_to_floatx80(0x3F000000, status), status); // S*B1
- fp1 = floatx80_add(fp1, fp2, status); // Q
- fp0 = floatx80_add(fp0, fp1, status); // S*B1+Q
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, a, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else { // |X| < 2^(-65)
- sc = packFloatx80(1, 1, one_sig);
- fp0 = a;
-
- if (aExp < 0x0033) { // |X| < 2^(-16382)
- fp0 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x48B0000000000000), status), status);
- fp0 = floatx80_add(fp0, sc, status);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3730000000000000), status), status);
- } else {
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, sc, status);
- }
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact, n, j, m, m1;
+ floatx80 fp0, fp1, fp2, fp3, l2, sc, onebysc;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ if (aSign) return packFloatx80(aSign, one_exp, one_sig);
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ SET_PREC;
+
+ if (aExp >= 0x3FFD) { // |X| >= 1/4
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact <= 0x4004C215) { // |X| <= 70 log2
+ fp0 = a;
+ fp1 = a;
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0x42B8AA3B, status), status); // 64/log2 * X
+ n = floatx80_to_int32(fp0, status); // int(64/log2*X)
+ fp0 = int32_to_floatx80(n);
+
+ j = n & 0x3F; // J = N mod 64
+ m = n / 64; // NOTE: this is really arithmetic right shift by 6
+ if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
+ m--;
+ }
+ m1 = -m;
+ //m += 0x3FFF; // biased exponent of 2^(M)
+ //m1 += 0x3FFF; // biased exponent of -2^(-M)
+
+ fp2 = fp0; // N
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0xBC317218, status), status); // N * L1, L1 = lead(-log2/64)
+ l2 = packFloatx80(0, 0x3FDC, LIT64(0x82E308654361C4C6));
+ fp2 = floatx80_mul(fp2, l2, status); // N * L2, L1+L2 = -log2/64
+ fp0 = floatx80_add(fp0, fp1, status); // X + N*L1
+ fp0 = floatx80_add(fp0, fp2, status); // R
+
+ fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
+ fp2 = float32_to_floatx80(0x3950097B, status); // A6
+ fp2 = floatx80_mul(fp2, fp1, status); // fp2 is S*A6
+ fp3 = floatx80_mul(float32_to_floatx80(0x3AB60B6A, status), fp1, status); // fp3 is S*A5
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F81111111174385), status), status); // fp2 IS A4+S*A6
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FA5555555554F5A), status), status); // fp3 is A3+S*A5
+ fp2 = floatx80_mul(fp2, fp1, status); // fp2 IS S*(A4+S*A6)
+ fp3 = floatx80_mul(fp3, fp1, status); // fp3 IS S*(A3+S*A5)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FC5555555555555), status), status); // fp2 IS A2+S*(A4+S*A6)
+ fp3 = floatx80_add(fp3, float32_to_floatx80(0x3F000000, status), status); // fp3 IS A1+S*(A3+S*A5)
+ fp2 = floatx80_mul(fp2, fp1, status); // fp2 IS S*(A2+S*(A4+S*A6))
+ fp1 = floatx80_mul(fp1, fp3, status); // fp1 IS S*(A1+S*(A3+S*A5))
+ fp2 = floatx80_mul(fp2, fp0, status); // fp2 IS R*S*(A2+S*(A4+S*A6))
+ fp0 = floatx80_add(fp0, fp1, status); // fp0 IS R+S*(A1+S*(A3+S*A5))
+ fp0 = floatx80_add(fp0, fp2, status); // fp0 IS EXP(R) - 1
+
+ fp0 = floatx80_mul(fp0, exp_tbl[j], status); // 2^(J/64)*(Exp(R)-1)
+
+ if (m >= 64) {
+ fp1 = float32_to_floatx80(exp_tbl2[j], status);
+ onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); // -2^(-M)
+ fp1 = floatx80_add(fp1, onebysc, status);
+ fp0 = floatx80_add(fp0, fp1, status);
+ fp0 = floatx80_add(fp0, exp_tbl[j], status);
+ } else if (m < -3) {
+ fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), status);
+ fp0 = floatx80_add(fp0, exp_tbl[j], status);
+ onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); // -2^(-M)
+ fp0 = floatx80_add(fp0, onebysc, status);
+ } else { // -3 <= m <= 63
+ fp1 = exp_tbl[j];
+ fp0 = floatx80_add(fp0, float32_to_floatx80(exp_tbl2[j], status), status);
+ onebysc = packFloatx80(1, m1 + 0x3FFF, one_sig); // -2^(-M)
+ fp1 = floatx80_add(fp1, onebysc, status);
+ fp0 = floatx80_add(fp0, fp1, status);
+ }
+
+ sc = packFloatx80(0, m + 0x3FFF, one_sig);
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, sc, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else { // |X| > 70 log2
+ if (aSign) {
+ fp0 = float32_to_floatx80(0xBF800000, status); // -1
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, float32_to_floatx80(0x00800000, status), status); // -1 + 2^(-126)
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ RESET_PREC;
+
+ return floatx80_etox(a, status);
+ }
+ }
+ } else { // |X| < 1/4
+ if (aExp >= 0x3FBE) {
+ fp0 = a;
+ fp0 = floatx80_mul(fp0, fp0, status); // S = X*X
+ fp1 = float32_to_floatx80(0x2F30CAA8, status); // B12
+ fp1 = floatx80_mul(fp1, fp0, status); // S * B12
+ fp2 = float32_to_floatx80(0x310F8290, status); // B11
+ fp1 = floatx80_add(fp1, float32_to_floatx80(0x32D73220, status), status); // B10
+ fp2 = floatx80_mul(fp2, fp0, status);
+ fp1 = floatx80_mul(fp1, fp0, status);
+ fp2 = floatx80_add(fp2, float32_to_floatx80(0x3493F281, status), status); // B9
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3EC71DE3A5774682), status), status); // B8
+ fp2 = floatx80_mul(fp2, fp0, status);
+ fp1 = floatx80_mul(fp1, fp0, status);
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EFA01A019D7CB68), status), status); // B7
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3F2A01A01A019DF3), status), status); // B6
+ fp2 = floatx80_mul(fp2, fp0, status);
+ fp1 = floatx80_mul(fp1, fp0, status);
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F56C16C16C170E2), status), status); // B5
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3F81111111111111), status), status); // B4
+ fp2 = floatx80_mul(fp2, fp0, status);
+ fp1 = floatx80_mul(fp1, fp0, status);
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555555555), status), status); // B3
+ fp3 = packFloatx80(0, 0x3FFC, LIT64(0xAAAAAAAAAAAAAAAB));
+ fp1 = floatx80_add(fp1, fp3, status); // B2
+ fp2 = floatx80_mul(fp2, fp0, status);
+ fp1 = floatx80_mul(fp1, fp0, status);
+
+ fp2 = floatx80_mul(fp2, fp0, status);
+ fp1 = floatx80_mul(fp1, a, status);
+
+ fp0 = floatx80_mul(fp0, float32_to_floatx80(0x3F000000, status), status); // S*B1
+ fp1 = floatx80_add(fp1, fp2, status); // Q
+ fp0 = floatx80_add(fp0, fp1, status); // S*B1+Q
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, a, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else { // |X| < 2^(-65)
+ sc = packFloatx80(1, 1, one_sig);
+ fp0 = a;
+
+ if (aExp < 0x0033) { // |X| < 2^(-16382)
+ fp0 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x48B0000000000000), status), status);
+ fp0 = floatx80_add(fp0, sc, status);
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3730000000000000), status), status);
+ } else {
+ RESET_PREC;
+
+ a = floatx80_add(fp0, sc, status);
+ }
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_log10(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- floatx80 fp0, fp1;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
- if (aSign == 0)
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- float_raise(float_flag_divbyzero, status);
- return packFloatx80(1, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aSign) {
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- fp0 = floatx80_logn(a, status);
- fp1 = packFloatx80(0, 0x3FFD, LIT64(0xDE5BD8A937287195)); // INV_L10
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, fp1, status); // LOGN(X)*INV_L10
-
- float_raise(float_flag_inexact, status);
-
- return a;
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ floatx80 fp0, fp1;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
+ if (aSign == 0)
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ float_raise(float_flag_divbyzero, status);
+ return packFloatx80(1, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aSign) {
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ SET_PREC;
+
+ fp0 = floatx80_logn(a, status);
+ fp1 = packFloatx80(0, 0x3FFD, LIT64(0xDE5BD8A937287195)); // INV_L10
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, fp1, status); // LOGN(X)*INV_L10
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
}
/*----------------------------------------------------------------------------
floatx80 floatx80_log2(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- floatx80 fp0, fp1;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
- if (aSign == 0)
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0) {
- if (aSig == 0) {
- float_raise(float_flag_divbyzero, status);
- return packFloatx80(1, 0x7FFF, floatx80_default_infinity_low);
- }
- normalizeFloatx80Subnormal(aSig, &aExp, &aSig);
- }
-
- if (aSign) {
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- if (aSig == one_sig) { // X is 2^k
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = int32_to_floatx80(aExp-0x3FFF);
- } else {
- fp0 = floatx80_logn(a, status);
- fp1 = packFloatx80(0, 0x3FFF, LIT64(0xB8AA3B295C17F0BC)); // INV_L2
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, fp1, status); // LOGN(X)*INV_L2
- }
-
- float_raise(float_flag_inexact, status);
-
- return a;
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ floatx80 fp0, fp1;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
+ if (aSign == 0)
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0) {
+ if (aSig == 0) {
+ float_raise(float_flag_divbyzero, status);
+ return packFloatx80(1, 0x7FFF, floatx80_default_infinity_low);
+ }
+ normalizeFloatx80Subnormal(aSig, &aExp, &aSig);
+ }
+
+ if (aSign) {
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ SET_PREC;
+
+ if (aSig == one_sig) { // X is 2^k
+ RESET_PREC;
+
+ a = int32_to_floatx80(aExp-0x3FFF);
+ } else {
+ fp0 = floatx80_logn(a, status);
+ fp1 = packFloatx80(0, 0x3FFF, LIT64(0xB8AA3B295C17F0BC)); // INV_L2
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, fp1, status); // LOGN(X)*INV_L2
+ }
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
}
/*----------------------------------------------------------------------------
floatx80 floatx80_logn(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig, fSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, j, k, adjk;
- floatx80 fp0, fp1, fp2, fp3, f, logof2, klog2, saveu;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
- if (aSign == 0)
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- adjk = 0;
-
- if (aExp == 0) {
- if (aSig == 0) { // zero
- float_raise(float_flag_divbyzero, status);
- return packFloatx80(1, 0x7FFF, floatx80_default_infinity_low);
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig, fSig;
+
+ int32_t compact, j, k, adjk;
+ floatx80 fp0, fp1, fp2, fp3, f, logof2, klog2, saveu;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
+ if (aSign == 0)
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ adjk = 0;
+
+ if (aExp == 0) {
+ if (aSig == 0) { // zero
+ float_raise(float_flag_divbyzero, status);
+ return packFloatx80(1, 0x7FFF, floatx80_default_infinity_low);
+ }
#if 1
- if ((aSig & one_sig) == 0) { // denormal
- normalizeFloatx80Subnormal(aSig, &aExp, &aSig);
- adjk = -100;
- aExp += 100;
- a = packFloatx80(aSign, aExp, aSig);
- }
+ if ((aSig & one_sig) == 0) { // denormal
+ normalizeFloatx80Subnormal(aSig, &aExp, &aSig);
+ adjk = -100;
+ aExp += 100;
+ a = packFloatx80(aSign, aExp, aSig);
+ }
#else
- normalizeFloatx80Subnormal(aSig, &aExp, &aSig);
+ normalizeFloatx80Subnormal(aSig, &aExp, &aSig);
#endif
- }
-
- if (aSign) {
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact < 0x3FFEF07D || compact > 0x3FFF8841) { // |X| < 15/16 or |X| > 17/16
- k = aExp - 0x3FFF;
- k += adjk;
- fp1 = int32_to_floatx80(k);
-
- fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000);
- j = (fSig >> 56) & 0x7E; // DISPLACEMENT FOR 1/F
-
- f = packFloatx80(0, 0x3FFF, fSig); // F
- fp0 = packFloatx80(0, 0x3FFF, aSig); // Y
-
- fp0 = floatx80_sub(fp0, f, status); // Y-F
-
- // LP1CONT1
- fp0 = floatx80_mul(fp0, log_tbl[j], status); // FP0 IS U = (Y-F)/F
- logof2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC));
- klog2 = floatx80_mul(fp1, logof2, status); // FP1 IS K*LOG2
- fp2 = floatx80_mul(fp0, fp0, status); // FP2 IS V=U*U
-
- fp3 = fp2;
- fp1 = fp2;
-
- fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x3FC2499AB5E4040B), status), status); // V*A6
- fp2 = floatx80_mul(fp2, float64_to_floatx80(LIT64(0xBFC555B5848CB7DB), status), status); // V*A5
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FC99999987D8730), status), status); // A4+V*A6
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFCFFFFFFF6F7E97), status), status); // A3+V*A5
- fp1 = floatx80_mul(fp1, fp3, status); // V*(A4+V*A6)
- fp2 = floatx80_mul(fp2, fp3, status); // V*(A3+V*A5)
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FD55555555555A4), status), status); // A2+V*(A4+V*A6)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFE0000000000008), status), status); // A1+V*(A3+V*A5)
- fp1 = floatx80_mul(fp1, fp3, status); // V*(A2+V*(A4+V*A6))
- fp2 = floatx80_mul(fp2, fp3, status); // V*(A1+V*(A3+V*A5))
- fp1 = floatx80_mul(fp1, fp0, status); // U*V*(A2+V*(A4+V*A6))
- fp0 = floatx80_add(fp0, fp2, status); // U+V*(A1+V*(A3+V*A5))
-
- fp1 = floatx80_add(fp1, log_tbl[j+1], status); // LOG(F)+U*V*(A2+V*(A4+V*A6))
- fp0 = floatx80_add(fp0, fp1, status); // FP0 IS LOG(F) + LOG(1+U)
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, klog2, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else { // |X-1| >= 1/16
- fp0 = a;
- fp1 = a;
- fp1 = floatx80_sub(fp1, float32_to_floatx80(0x3F800000, status), status); // FP1 IS X-1
- fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // FP0 IS X+1
- fp1 = floatx80_add(fp1, fp1, status); // FP1 IS 2(X-1)
-
- // LP1CONT2
- fp1 = floatx80_div(fp1, fp0, status); // U
- saveu = fp1;
- fp0 = floatx80_mul(fp1, fp1, status); // FP0 IS V = U*U
- fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS W = V*V
-
- fp3 = float64_to_floatx80(LIT64(0x3F175496ADD7DAD6), status); // B5
- fp2 = float64_to_floatx80(LIT64(0x3F3C71C2FE80C7E0), status); // B4
- fp3 = floatx80_mul(fp3, fp1, status); // W*B5
- fp2 = floatx80_mul(fp2, fp1, status); // W*B4
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3F624924928BCCFF), status), status); // B3+W*B5
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F899999999995EC), status), status); // B2+W*B4
- fp1 = floatx80_mul(fp1, fp3, status); // W*(B3+W*B5)
- fp2 = floatx80_mul(fp2, fp0, status); // V*(B2+W*B4)
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FB5555555555555), status), status); // B1+W*(B3+W*B5)
-
- fp0 = floatx80_mul(fp0, saveu, status); // FP0 IS U*V
- fp1 = floatx80_add(fp1, fp2, status); // B1+W*(B3+W*B5) + V*(B2+W*B4)
- fp0 = floatx80_mul(fp0, fp1, status); // U*V*( [B1+W*(B3+W*B5)] + [V*(B2+W*B4)] )
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, saveu, status);
-
- if (!floatx80_is_zero(a)) {
- float_raise(float_flag_inexact, status);
- }
-
- return a;
- }
+ }
+
+ if (aSign) {
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact < 0x3FFEF07D || compact > 0x3FFF8841) { // |X| < 15/16 or |X| > 17/16
+ k = aExp - 0x3FFF;
+ k += adjk;
+ fp1 = int32_to_floatx80(k);
+
+ fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000);
+ j = (fSig >> 56) & 0x7E; // DISPLACEMENT FOR 1/F
+
+ f = packFloatx80(0, 0x3FFF, fSig); // F
+ fp0 = packFloatx80(0, 0x3FFF, aSig); // Y
+
+ fp0 = floatx80_sub(fp0, f, status); // Y-F
+
+ // LP1CONT1
+ fp0 = floatx80_mul(fp0, log_tbl[j], status); // FP0 IS U = (Y-F)/F
+ logof2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC));
+ klog2 = floatx80_mul(fp1, logof2, status); // FP1 IS K*LOG2
+ fp2 = floatx80_mul(fp0, fp0, status); // FP2 IS V=U*U
+
+ fp3 = fp2;
+ fp1 = fp2;
+
+ fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x3FC2499AB5E4040B), status), status); // V*A6
+ fp2 = floatx80_mul(fp2, float64_to_floatx80(LIT64(0xBFC555B5848CB7DB), status), status); // V*A5
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FC99999987D8730), status), status); // A4+V*A6
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFCFFFFFFF6F7E97), status), status); // A3+V*A5
+ fp1 = floatx80_mul(fp1, fp3, status); // V*(A4+V*A6)
+ fp2 = floatx80_mul(fp2, fp3, status); // V*(A3+V*A5)
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FD55555555555A4), status), status); // A2+V*(A4+V*A6)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFE0000000000008), status), status); // A1+V*(A3+V*A5)
+ fp1 = floatx80_mul(fp1, fp3, status); // V*(A2+V*(A4+V*A6))
+ fp2 = floatx80_mul(fp2, fp3, status); // V*(A1+V*(A3+V*A5))
+ fp1 = floatx80_mul(fp1, fp0, status); // U*V*(A2+V*(A4+V*A6))
+ fp0 = floatx80_add(fp0, fp2, status); // U+V*(A1+V*(A3+V*A5))
+
+ fp1 = floatx80_add(fp1, log_tbl[j+1], status); // LOG(F)+U*V*(A2+V*(A4+V*A6))
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 IS LOG(F) + LOG(1+U)
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, klog2, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else { // |X-1| >= 1/16
+ fp0 = a;
+ fp1 = a;
+ fp1 = floatx80_sub(fp1, float32_to_floatx80(0x3F800000, status), status); // FP1 IS X-1
+ fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // FP0 IS X+1
+ fp1 = floatx80_add(fp1, fp1, status); // FP1 IS 2(X-1)
+
+ // LP1CONT2
+ fp1 = floatx80_div(fp1, fp0, status); // U
+ saveu = fp1;
+ fp0 = floatx80_mul(fp1, fp1, status); // FP0 IS V = U*U
+ fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS W = V*V
+
+ fp3 = float64_to_floatx80(LIT64(0x3F175496ADD7DAD6), status); // B5
+ fp2 = float64_to_floatx80(LIT64(0x3F3C71C2FE80C7E0), status); // B4
+ fp3 = floatx80_mul(fp3, fp1, status); // W*B5
+ fp2 = floatx80_mul(fp2, fp1, status); // W*B4
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3F624924928BCCFF), status), status); // B3+W*B5
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F899999999995EC), status), status); // B2+W*B4
+ fp1 = floatx80_mul(fp1, fp3, status); // W*(B3+W*B5)
+ fp2 = floatx80_mul(fp2, fp0, status); // V*(B2+W*B4)
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FB5555555555555), status), status); // B1+W*(B3+W*B5)
+
+ fp0 = floatx80_mul(fp0, saveu, status); // FP0 IS U*V
+ fp1 = floatx80_add(fp1, fp2, status); // B1+W*(B3+W*B5) + V*(B2+W*B4)
+ fp0 = floatx80_mul(fp0, fp1, status); // U*V*( [B1+W*(B3+W*B5)] + [V*(B2+W*B4)] )
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, saveu, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_lognp1(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig, fSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, j, k;
- floatx80 fp0, fp1, fp2, fp3, f, logof2, klog2, saveu;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
- if (aSign) {
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- if (aSign && aExp >= one_exp) {
- if (aExp == one_exp && aSig == one_sig) {
- float_raise(float_flag_divbyzero, status);
- packFloatx80(aSign, 0x7FFF, floatx80_default_infinity_low);
- }
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- if (aExp < 0x3f99 || (aExp == 0x3f99 && aSig == one_sig)) { // <= min threshold
- float_raise(float_flag_inexact, status);
- return floatx80_move(a, status);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- fp0 = a; // Z
- fp1 = a;
-
- fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // X = (1+Z)
-
- aExp = extractFloatx80Exp(fp0);
- aSig = extractFloatx80Frac(fp0);
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact < 0x3FFE8000 || compact > 0x3FFFC000) { // |X| < 1/2 or |X| > 3/2
- k = aExp - 0x3FFF;
- fp1 = int32_to_floatx80(k);
-
- fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000);
- j = (fSig >> 56) & 0x7E; // DISPLACEMENT FOR 1/F
-
- f = packFloatx80(0, 0x3FFF, fSig); // F
- fp0 = packFloatx80(0, 0x3FFF, aSig); // Y
-
- fp0 = floatx80_sub(fp0, f, status); // Y-F
-
- lp1cont1:
- // LP1CONT1
- fp0 = floatx80_mul(fp0, log_tbl[j], status); // FP0 IS U = (Y-F)/F
- logof2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC));
- klog2 = floatx80_mul(fp1, logof2, status); // FP1 IS K*LOG2
- fp2 = floatx80_mul(fp0, fp0, status); // FP2 IS V=U*U
-
- fp3 = fp2;
- fp1 = fp2;
-
- fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x3FC2499AB5E4040B), status), status); // V*A6
- fp2 = floatx80_mul(fp2, float64_to_floatx80(LIT64(0xBFC555B5848CB7DB), status), status); // V*A5
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FC99999987D8730), status), status); // A4+V*A6
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFCFFFFFFF6F7E97), status), status); // A3+V*A5
- fp1 = floatx80_mul(fp1, fp3, status); // V*(A4+V*A6)
- fp2 = floatx80_mul(fp2, fp3, status); // V*(A3+V*A5)
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FD55555555555A4), status), status); // A2+V*(A4+V*A6)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFE0000000000008), status), status); // A1+V*(A3+V*A5)
- fp1 = floatx80_mul(fp1, fp3, status); // V*(A2+V*(A4+V*A6))
- fp2 = floatx80_mul(fp2, fp3, status); // V*(A1+V*(A3+V*A5))
- fp1 = floatx80_mul(fp1, fp0, status); // U*V*(A2+V*(A4+V*A6))
- fp0 = floatx80_add(fp0, fp2, status); // U+V*(A1+V*(A3+V*A5))
-
- fp1 = floatx80_add(fp1, log_tbl[j+1], status); // LOG(F)+U*V*(A2+V*(A4+V*A6))
- fp0 = floatx80_add(fp0, fp1, status); // FP0 IS LOG(F) + LOG(1+U)
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, klog2, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else if (compact < 0x3FFEF07D || compact > 0x3FFF8841) { // |X| < 1/16 or |X| > -1/16
- // LP1CARE
- fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000);
- f = packFloatx80(0, 0x3FFF, fSig); // F
- j = (fSig >> 56) & 0x7E; // DISPLACEMENT FOR 1/F
-
- if (compact >= 0x3FFF8000) { // 1+Z >= 1
- // KISZERO
- fp0 = floatx80_sub(float32_to_floatx80(0x3F800000, status), f, status); // 1-F
- fp0 = floatx80_add(fp0, fp1, status); // FP0 IS Y-F = (1-F)+Z
- fp1 = packFloatx80(0, 0, 0); // K = 0
- } else {
- // KISNEG
- fp0 = floatx80_sub(float32_to_floatx80(0x40000000, status), f, status); // 2-F
- fp1 = floatx80_add(fp1, fp1, status); // 2Z
- fp0 = floatx80_add(fp0, fp1, status); // FP0 IS Y-F = (2-F)+2Z
- fp1 = packFloatx80(1, one_exp, one_sig); // K = -1
- }
- goto lp1cont1;
- } else {
- // LP1ONE16
- fp1 = floatx80_add(fp1, fp1, status); // FP1 IS 2Z
- fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // FP0 IS 1+X
-
- // LP1CONT2
- fp1 = floatx80_div(fp1, fp0, status); // U
- saveu = fp1;
- fp0 = floatx80_mul(fp1, fp1, status); // FP0 IS V = U*U
- fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS W = V*V
-
- fp3 = float64_to_floatx80(LIT64(0x3F175496ADD7DAD6), status); // B5
- fp2 = float64_to_floatx80(LIT64(0x3F3C71C2FE80C7E0), status); // B4
- fp3 = floatx80_mul(fp3, fp1, status); // W*B5
- fp2 = floatx80_mul(fp2, fp1, status); // W*B4
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3F624924928BCCFF), status), status); // B3+W*B5
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F899999999995EC), status), status); // B2+W*B4
- fp1 = floatx80_mul(fp1, fp3, status); // W*(B3+W*B5)
- fp2 = floatx80_mul(fp2, fp0, status); // V*(B2+W*B4)
- fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FB5555555555555), status), status); // B1+W*(B3+W*B5)
-
- fp0 = floatx80_mul(fp0, saveu, status); // FP0 IS U*V
- fp1 = floatx80_add(fp1, fp2, status); // B1+W*(B3+W*B5) + V*(B2+W*B4)
- fp0 = floatx80_mul(fp0, fp1, status); // U*V*( [B1+W*(B3+W*B5)] + [V*(B2+W*B4)] )
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, saveu, status);
-
- if (!floatx80_is_zero(a)) {
- float_raise(float_flag_inexact, status);
- }
-
- return a;
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig, fSig;
+
+ int32_t compact, j, k;
+ floatx80 fp0, fp1, fp2, fp3, f, logof2, klog2, saveu;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) propagateFloatx80NaNOneArg(a, status);
+ if (aSign) {
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ if (aSign && aExp >= one_exp) {
+ if (aExp == one_exp && aSig == one_sig) {
+ float_raise(float_flag_divbyzero, status);
+ packFloatx80(aSign, 0x7FFF, floatx80_default_infinity_low);
+ }
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ if (aExp < 0x3f99 || (aExp == 0x3f99 && aSig == one_sig)) { // <= min threshold
+ float_raise(float_flag_inexact, status);
+ return floatx80_move(a, status);
+ }
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ fp0 = a; // Z
+ fp1 = a;
+
+ fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // X = (1+Z)
+
+ aExp = extractFloatx80Exp(fp0);
+ aSig = extractFloatx80Frac(fp0);
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact < 0x3FFE8000 || compact > 0x3FFFC000) { // |X| < 1/2 or |X| > 3/2
+ k = aExp - 0x3FFF;
+ fp1 = int32_to_floatx80(k);
+
+ fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000);
+ j = (fSig >> 56) & 0x7E; // DISPLACEMENT FOR 1/F
+
+ f = packFloatx80(0, 0x3FFF, fSig); // F
+ fp0 = packFloatx80(0, 0x3FFF, aSig); // Y
+
+ fp0 = floatx80_sub(fp0, f, status); // Y-F
+
+ lp1cont1:
+ // LP1CONT1
+ fp0 = floatx80_mul(fp0, log_tbl[j], status); // FP0 IS U = (Y-F)/F
+ logof2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC));
+ klog2 = floatx80_mul(fp1, logof2, status); // FP1 IS K*LOG2
+ fp2 = floatx80_mul(fp0, fp0, status); // FP2 IS V=U*U
+
+ fp3 = fp2;
+ fp1 = fp2;
+
+ fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x3FC2499AB5E4040B), status), status); // V*A6
+ fp2 = floatx80_mul(fp2, float64_to_floatx80(LIT64(0xBFC555B5848CB7DB), status), status); // V*A5
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FC99999987D8730), status), status); // A4+V*A6
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFCFFFFFFF6F7E97), status), status); // A3+V*A5
+ fp1 = floatx80_mul(fp1, fp3, status); // V*(A4+V*A6)
+ fp2 = floatx80_mul(fp2, fp3, status); // V*(A3+V*A5)
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FD55555555555A4), status), status); // A2+V*(A4+V*A6)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0xBFE0000000000008), status), status); // A1+V*(A3+V*A5)
+ fp1 = floatx80_mul(fp1, fp3, status); // V*(A2+V*(A4+V*A6))
+ fp2 = floatx80_mul(fp2, fp3, status); // V*(A1+V*(A3+V*A5))
+ fp1 = floatx80_mul(fp1, fp0, status); // U*V*(A2+V*(A4+V*A6))
+ fp0 = floatx80_add(fp0, fp2, status); // U+V*(A1+V*(A3+V*A5))
+
+ fp1 = floatx80_add(fp1, log_tbl[j+1], status); // LOG(F)+U*V*(A2+V*(A4+V*A6))
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 IS LOG(F) + LOG(1+U)
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, klog2, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else if (compact < 0x3FFEF07D || compact > 0x3FFF8841) { // |X| < 1/16 or |X| > -1/16
+ // LP1CARE
+ fSig = (aSig & LIT64(0xFE00000000000000)) | LIT64(0x0100000000000000);
+ f = packFloatx80(0, 0x3FFF, fSig); // F
+ j = (fSig >> 56) & 0x7E; // DISPLACEMENT FOR 1/F
+
+ if (compact >= 0x3FFF8000) { // 1+Z >= 1
+ // KISZERO
+ fp0 = floatx80_sub(float32_to_floatx80(0x3F800000, status), f, status); // 1-F
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 IS Y-F = (1-F)+Z
+ fp1 = packFloatx80(0, 0, 0); // K = 0
+ } else {
+ // KISNEG
+ fp0 = floatx80_sub(float32_to_floatx80(0x40000000, status), f, status); // 2-F
+ fp1 = floatx80_add(fp1, fp1, status); // 2Z
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 IS Y-F = (2-F)+2Z
+ fp1 = packFloatx80(1, one_exp, one_sig); // K = -1
+ }
+ goto lp1cont1;
+ } else {
+ // LP1ONE16
+ fp1 = floatx80_add(fp1, fp1, status); // FP1 IS 2Z
+ fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // FP0 IS 1+X
+
+ // LP1CONT2
+ fp1 = floatx80_div(fp1, fp0, status); // U
+ saveu = fp1;
+ fp0 = floatx80_mul(fp1, fp1, status); // FP0 IS V = U*U
+ fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS W = V*V
+
+ fp3 = float64_to_floatx80(LIT64(0x3F175496ADD7DAD6), status); // B5
+ fp2 = float64_to_floatx80(LIT64(0x3F3C71C2FE80C7E0), status); // B4
+ fp3 = floatx80_mul(fp3, fp1, status); // W*B5
+ fp2 = floatx80_mul(fp2, fp1, status); // W*B4
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3F624924928BCCFF), status), status); // B3+W*B5
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3F899999999995EC), status), status); // B2+W*B4
+ fp1 = floatx80_mul(fp1, fp3, status); // W*(B3+W*B5)
+ fp2 = floatx80_mul(fp2, fp0, status); // V*(B2+W*B4)
+ fp1 = floatx80_add(fp1, float64_to_floatx80(LIT64(0x3FB5555555555555), status), status); // B1+W*(B3+W*B5)
+
+ fp0 = floatx80_mul(fp0, saveu, status); // FP0 IS U*V
+ fp1 = floatx80_add(fp1, fp2, status); // B1+W*(B3+W*B5) + V*(B2+W*B4)
+ fp0 = floatx80_mul(fp0, fp1, status); // U*V*( [B1+W*(B3+W*B5)] + [V*(B2+W*B4)] )
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, saveu, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_sin(floatx80 a, float_status *status)
{
- flag aSign, xSign;
- int32_t aExp, xExp;
- uint64_t aSig, xSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, l, n, j;
- floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2;
- float32 posneg1, twoto63;
- flag adjn, endflag;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- adjn = 0;
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- fp0 = a;
-
- if (compact < 0x3FD78000 || compact > 0x4004BC7E) { // 2^(-40) > |X| > 15 PI
- if (compact > 0x3FFF8000) { // |X| >= 15 PI
- // REDUCEX
- fp1 = packFloatx80(0, 0, 0);
- if (compact == 0x7FFEFFFF) {
- twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, LIT64(0xC90FDAA200000000));
- twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, LIT64(0x85A308D300000000));
- fp0 = floatx80_add(fp0, twopi1, status);
- fp1 = fp0;
- fp0 = floatx80_add(fp0, twopi2, status);
- fp1 = floatx80_sub(fp1, fp0, status);
- fp1 = floatx80_add(fp1, twopi2, status);
- }
- loop:
- xSign = extractFloatx80Sign(fp0);
- xExp = extractFloatx80Exp(fp0);
- xExp -= 0x3FFF;
- if (xExp <= 28) {
- l = 0;
- endflag = 1;
- } else {
- l = xExp - 27;
- endflag = 0;
- }
- invtwopi = packFloatx80(0, 0x3FFE - l, LIT64(0xA2F9836E4E44152A)); // INVTWOPI
- twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
- twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
-
- twoto63 = 0x5F000000;
- twoto63 |= xSign ? 0x80000000 : 0x00000000; // SIGN(INARG)*2^63 IN SGL
-
- fp2 = floatx80_mul(fp0, invtwopi, status);
- fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), status); // THE FRACTIONAL PART OF FP2 IS ROUNDED
- fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), status); // FP2 is N
- fp4 = floatx80_mul(twopi1, fp2, status); // W = N*P1
- fp5 = floatx80_mul(twopi2, fp2, status); // w = N*P2
- fp3 = floatx80_add(fp4, fp5, status); // FP3 is P
- fp4 = floatx80_sub(fp4, fp3, status); // W-P
- fp0 = floatx80_sub(fp0, fp3, status); // FP0 is A := R - P
- fp4 = floatx80_add(fp4, fp5, status); // FP4 is p = (W-P)+w
- fp3 = fp0; // FP3 is A
- fp1 = floatx80_sub(fp1, fp4, status); // FP1 is a := r - p
- fp0 = floatx80_add(fp0, fp1, status); // FP0 is R := A+a
-
- if (endflag > 0) {
- n = floatx80_to_int32(fp2, status);
- goto sincont;
- }
- fp3 = floatx80_sub(fp3, fp0, status); // A-R
- fp1 = floatx80_add(fp1, fp3, status); // FP1 is r := (A-R)+a
- goto loop;
- } else {
- // SINSM
- fp0 = float32_to_floatx80(0x3F800000, status); // 1
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- if (adjn) {
- // COSTINY
- a = floatx80_sub(fp0, float32_to_floatx80(0x00800000, status), status);
- } else {
- // SINTINY
- a = floatx80_move(a, status);
- }
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else {
- fp1 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3FE45F306DC9C883), status), status); // X*2/PI
-
- n = floatx80_to_int32(fp1, status);
- j = 32 + n;
-
- fp0 = floatx80_sub(fp0, pi_tbl[j], status); // X-Y1
- fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), status); // FP0 IS R = (X-Y1)-Y2
-
- sincont:
- if ((n + adjn) & 1) {
- // COSPOLY
- fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
- fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
- fp2 = float64_to_floatx80(LIT64(0x3D2AC4D0D6011EE3), status); // B8
- fp3 = float64_to_floatx80(LIT64(0xBDA9396F9F45AC19), status); // B7
-
- xSign = extractFloatx80Sign(fp0); // X IS S
- xExp = extractFloatx80Exp(fp0);
- xSig = extractFloatx80Frac(fp0);
-
- if (((n + adjn) >> 1) & 1) {
- xSign ^= 1;
- posneg1 = 0xBF800000; // -1
- } else {
- xSign ^= 0;
- posneg1 = 0x3F800000; // 1
- } // X IS NOW R'= SGN*R
-
- fp2 = floatx80_mul(fp2, fp1, status); // TB8
- fp3 = floatx80_mul(fp3, fp1, status); // TB7
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3E21EED90612C972), status), status); // B6+TB8
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE927E4FB79D9FCF), status), status); // B5+TB7
- fp2 = floatx80_mul(fp2, fp1, status); // T(B6+TB8)
- fp3 = floatx80_mul(fp3, fp1, status); // T(B5+TB7)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EFA01A01A01D423), status), status); // B4+T(B6+TB8)
- fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438));
- fp3 = floatx80_add(fp3, fp4, status); // B3+T(B5+TB7)
- fp2 = floatx80_mul(fp2, fp1, status); // T(B4+T(B6+TB8))
- fp1 = floatx80_mul(fp1, fp3, status); // T(B3+T(B5+TB7))
- fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E));
- fp2 = floatx80_add(fp2, fp4, status); // B2+T(B4+T(B6+TB8))
- fp1 = floatx80_add(fp1, float32_to_floatx80(0xBF000000, status), status); // B1+T(B3+T(B5+TB7))
- fp0 = floatx80_mul(fp0, fp2, status); // S(B2+T(B4+T(B6+TB8)))
- fp0 = floatx80_add(fp0, fp1, status); // [B1+T(B3+T(B5+TB7))]+[S(B2+T(B4+T(B6+TB8)))]
-
- x = packFloatx80(xSign, xExp, xSig);
- fp0 = floatx80_mul(fp0, x, status);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- // SINPOLY
- xSign = extractFloatx80Sign(fp0); // X IS R
- xExp = extractFloatx80Exp(fp0);
- xSig = extractFloatx80Frac(fp0);
-
- xSign ^= ((n + adjn) >> 1) & 1; // X IS NOW R'= SGN*R
-
- fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
- fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
- fp3 = float64_to_floatx80(LIT64(0xBD6AAA77CCC994F5), status); // A7
- fp2 = float64_to_floatx80(LIT64(0x3DE612097AAE8DA1), status); // A6
- fp3 = floatx80_mul(fp3, fp1, status); // T*A7
- fp2 = floatx80_mul(fp2, fp1, status); // T*A6
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE5AE6452A118AE4), status), status); // A5+T*A7
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EC71DE3A5341531), status), status); // A4+T*A6
- fp3 = floatx80_mul(fp3, fp1, status); // T(A5+TA7)
- fp2 = floatx80_mul(fp2, fp1, status); // T(A4+TA6)
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF2A01A01A018B59), status), status); // A3+T(A5+TA7)
- fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF));
- fp2 = floatx80_add(fp2, fp4, status); // A2+T(A4+TA6)
- fp1 = floatx80_mul(fp1, fp3, status); // T(A3+T(A5+TA7))
- fp2 = floatx80_mul(fp2, fp0, status); // S(A2+T(A4+TA6))
- fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99));
- fp1 = floatx80_add(fp1, fp4, status); // A1+T(A3+T(A5+TA7))
- fp1 = floatx80_add(fp1, fp2, status); // [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))]
-
- x = packFloatx80(xSign, xExp, xSig);
- fp0 = floatx80_mul(fp0, x, status); // R'*S
- fp0 = floatx80_mul(fp0, fp1, status); // SIN(R')-R'
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, x, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
+ flag aSign, xSign;
+ int32_t aExp, xExp;
+ uint64_t aSig, xSig;
+
+ int32_t compact, l, n, j;
+ floatx80 fp0, fp1, fp2, fp3, fp4, fp5, x, invtwopi, twopi1, twopi2;
+ float32 posneg1, twoto63;
+ flag adjn, endflag;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ adjn = 0;
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ fp0 = a;
+
+ if (compact < 0x3FD78000 || compact > 0x4004BC7E) { // 2^(-40) > |X| > 15 PI
+ if (compact > 0x3FFF8000) { // |X| >= 15 PI
+ // REDUCEX
+ fp1 = packFloatx80(0, 0, 0);
+ if (compact == 0x7FFEFFFF) {
+ twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, LIT64(0xC90FDAA200000000));
+ twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, LIT64(0x85A308D300000000));
+ fp0 = floatx80_add(fp0, twopi1, status);
+ fp1 = fp0;
+ fp0 = floatx80_add(fp0, twopi2, status);
+ fp1 = floatx80_sub(fp1, fp0, status);
+ fp1 = floatx80_add(fp1, twopi2, status);
+ }
+ loop:
+ xSign = extractFloatx80Sign(fp0);
+ xExp = extractFloatx80Exp(fp0);
+ xExp -= 0x3FFF;
+ if (xExp <= 28) {
+ l = 0;
+ endflag = 1;
+ } else {
+ l = xExp - 27;
+ endflag = 0;
+ }
+ invtwopi = packFloatx80(0, 0x3FFE - l, LIT64(0xA2F9836E4E44152A)); // INVTWOPI
+ twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
+ twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
+
+ twoto63 = 0x5F000000;
+ twoto63 |= xSign ? 0x80000000 : 0x00000000; // SIGN(INARG)*2^63 IN SGL
+
+ fp2 = floatx80_mul(fp0, invtwopi, status);
+ fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), status); // THE FRACTIONAL PART OF FP2 IS ROUNDED
+ fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), status); // FP2 is N
+ fp4 = floatx80_mul(twopi1, fp2, status); // W = N*P1
+ fp5 = floatx80_mul(twopi2, fp2, status); // w = N*P2
+ fp3 = floatx80_add(fp4, fp5, status); // FP3 is P
+ fp4 = floatx80_sub(fp4, fp3, status); // W-P
+ fp0 = floatx80_sub(fp0, fp3, status); // FP0 is A := R - P
+ fp4 = floatx80_add(fp4, fp5, status); // FP4 is p = (W-P)+w
+ fp3 = fp0; // FP3 is A
+ fp1 = floatx80_sub(fp1, fp4, status); // FP1 is a := r - p
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 is R := A+a
+
+ if (endflag > 0) {
+ n = floatx80_to_int32(fp2, status);
+ goto sincont;
+ }
+ fp3 = floatx80_sub(fp3, fp0, status); // A-R
+ fp1 = floatx80_add(fp1, fp3, status); // FP1 is r := (A-R)+a
+ goto loop;
+ } else {
+ // SINSM
+ fp0 = float32_to_floatx80(0x3F800000, status); // 1
+
+ RESET_PREC;
+
+ if (adjn) {
+ // COSTINY
+ a = floatx80_sub(fp0, float32_to_floatx80(0x00800000, status), status);
+ } else {
+ // SINTINY
+ a = floatx80_move(a, status);
+ }
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else {
+ fp1 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3FE45F306DC9C883), status), status); // X*2/PI
+
+ n = floatx80_to_int32(fp1, status);
+ j = 32 + n;
+
+ fp0 = floatx80_sub(fp0, pi_tbl[j], status); // X-Y1
+ fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), status); // FP0 IS R = (X-Y1)-Y2
+
+ sincont:
+ if ((n + adjn) & 1) {
+ // COSPOLY
+ fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
+ fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
+ fp2 = float64_to_floatx80(LIT64(0x3D2AC4D0D6011EE3), status); // B8
+ fp3 = float64_to_floatx80(LIT64(0xBDA9396F9F45AC19), status); // B7
+
+ xSign = extractFloatx80Sign(fp0); // X IS S
+ xExp = extractFloatx80Exp(fp0);
+ xSig = extractFloatx80Frac(fp0);
+
+ if (((n + adjn) >> 1) & 1) {
+ xSign ^= 1;
+ posneg1 = 0xBF800000; // -1
+ } else {
+ xSign ^= 0;
+ posneg1 = 0x3F800000; // 1
+ } // X IS NOW R'= SGN*R
+
+ fp2 = floatx80_mul(fp2, fp1, status); // TB8
+ fp3 = floatx80_mul(fp3, fp1, status); // TB7
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3E21EED90612C972), status), status); // B6+TB8
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE927E4FB79D9FCF), status), status); // B5+TB7
+ fp2 = floatx80_mul(fp2, fp1, status); // T(B6+TB8)
+ fp3 = floatx80_mul(fp3, fp1, status); // T(B5+TB7)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EFA01A01A01D423), status), status); // B4+T(B6+TB8)
+ fp4 = packFloatx80(1, 0x3FF5, LIT64(0xB60B60B60B61D438));
+ fp3 = floatx80_add(fp3, fp4, status); // B3+T(B5+TB7)
+ fp2 = floatx80_mul(fp2, fp1, status); // T(B4+T(B6+TB8))
+ fp1 = floatx80_mul(fp1, fp3, status); // T(B3+T(B5+TB7))
+ fp4 = packFloatx80(0, 0x3FFA, LIT64(0xAAAAAAAAAAAAAB5E));
+ fp2 = floatx80_add(fp2, fp4, status); // B2+T(B4+T(B6+TB8))
+ fp1 = floatx80_add(fp1, float32_to_floatx80(0xBF000000, status), status); // B1+T(B3+T(B5+TB7))
+ fp0 = floatx80_mul(fp0, fp2, status); // S(B2+T(B4+T(B6+TB8)))
+ fp0 = floatx80_add(fp0, fp1, status); // [B1+T(B3+T(B5+TB7))]+[S(B2+T(B4+T(B6+TB8)))]
+
+ x = packFloatx80(xSign, xExp, xSig);
+ fp0 = floatx80_mul(fp0, x, status);
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, float32_to_floatx80(posneg1, status), status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ // SINPOLY
+ xSign = extractFloatx80Sign(fp0); // X IS R
+ xExp = extractFloatx80Exp(fp0);
+ xSig = extractFloatx80Frac(fp0);
+
+ xSign ^= ((n + adjn) >> 1) & 1; // X IS NOW R'= SGN*R
+
+ fp0 = floatx80_mul(fp0, fp0, status); // FP0 IS S
+ fp1 = floatx80_mul(fp0, fp0, status); // FP1 IS T
+ fp3 = float64_to_floatx80(LIT64(0xBD6AAA77CCC994F5), status); // A7
+ fp2 = float64_to_floatx80(LIT64(0x3DE612097AAE8DA1), status); // A6
+ fp3 = floatx80_mul(fp3, fp1, status); // T*A7
+ fp2 = floatx80_mul(fp2, fp1, status); // T*A6
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBE5AE6452A118AE4), status), status); // A5+T*A7
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3EC71DE3A5341531), status), status); // A4+T*A6
+ fp3 = floatx80_mul(fp3, fp1, status); // T(A5+TA7)
+ fp2 = floatx80_mul(fp2, fp1, status); // T(A4+TA6)
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF2A01A01A018B59), status), status); // A3+T(A5+TA7)
+ fp4 = packFloatx80(0, 0x3FF8, LIT64(0x88888888888859AF));
+ fp2 = floatx80_add(fp2, fp4, status); // A2+T(A4+TA6)
+ fp1 = floatx80_mul(fp1, fp3, status); // T(A3+T(A5+TA7))
+ fp2 = floatx80_mul(fp2, fp0, status); // S(A2+T(A4+TA6))
+ fp4 = packFloatx80(1, 0x3FFC, LIT64(0xAAAAAAAAAAAAAA99));
+ fp1 = floatx80_add(fp1, fp4, status); // A1+T(A3+T(A5+TA7))
+ fp1 = floatx80_add(fp1, fp2, status); // [A1+T(A3+T(A5+TA7))]+[S(A2+T(A4+TA6))]
+
+ x = packFloatx80(xSign, xExp, xSig);
+ fp0 = floatx80_mul(fp0, x, status); // R'*S
+ fp0 = floatx80_mul(fp0, fp1, status); // SIN(R')-R'
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, x, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_sinh(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact;
- floatx80 fp0, fp1, fp2;
- float32 fact;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- return packFloatx80(aSign, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact > 0x400CB167) {
- // SINHBIG
- if (compact > 0x400CB2B3) {
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- return roundAndPackFloatx80(status->floatx80_rounding_precision, aSign, 0x8000, aSig, 0, status);
- } else {
- fp0 = floatx80_abs(a, status); // Y = |X|
- fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x40C62D38D3D64634), status), status); // (|X|-16381LOG2_LEAD)
- fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x3D6F90AEB1E75CC7), status), status); // |X| - 16381 LOG2, ACCURATE
- fp0 = floatx80_etox(fp0, status);
- fp2 = packFloatx80(aSign, 0x7FFB, one_sig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, fp2, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else { // |X| < 16380 LOG2
- fp0 = floatx80_abs(a, status); // Y = |X|
- fp0 = floatx80_etoxm1(fp0, status); // FP0 IS Z = EXPM1(Y)
- fp1 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1+Z
- fp2 = fp0;
- fp0 = floatx80_div(fp0, fp1, status); // Z/(1+Z)
- fp0 = floatx80_add(fp0, fp2, status);
-
- fact = 0x3F000000;
- fact |= aSign ? 0x80000000 : 0x00000000;
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, float32_to_floatx80(fact, status), status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact;
+ floatx80 fp0, fp1, fp2;
+ float32 fact;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ return packFloatx80(aSign, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact > 0x400CB167) {
+ // SINHBIG
+ if (compact > 0x400CB2B3) {
+ RESET_PREC;
+
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, aSign, 0x8000, aSig, 0, status);
+ } else {
+ fp0 = floatx80_abs(a, status); // Y = |X|
+ fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x40C62D38D3D64634), status), status); // (|X|-16381LOG2_LEAD)
+ fp0 = floatx80_sub(fp0, float64_to_floatx80(LIT64(0x3D6F90AEB1E75CC7), status), status); // |X| - 16381 LOG2, ACCURATE
+ fp0 = floatx80_etox(fp0, status);
+ fp2 = packFloatx80(aSign, 0x7FFB, one_sig);
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, fp2, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else { // |X| < 16380 LOG2
+ fp0 = floatx80_abs(a, status); // Y = |X|
+ fp0 = floatx80_etoxm1(fp0, status); // FP0 IS Z = EXPM1(Y)
+ fp1 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1+Z
+ fp2 = fp0;
+ fp0 = floatx80_div(fp0, fp1, status); // Z/(1+Z)
+ fp0 = floatx80_add(fp0, fp2, status);
+
+ fact = 0x3F000000;
+ fact |= aSign ? 0x80000000 : 0x00000000;
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, float32_to_floatx80(fact, status), status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_tan(floatx80 a, float_status *status)
{
- flag aSign, xSign;
- int32_t aExp, xExp;
- uint64_t aSig, xSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, l, n, j;
- floatx80 fp0, fp1, fp2, fp3, fp4, fp5, invtwopi, twopi1, twopi2;
- float32 twoto63;
- flag endflag;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- float_raise(float_flag_invalid, status);
- a.low = floatx80_default_nan_low;
- a.high = floatx80_default_nan_high;
- return a;
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- fp0 = a;
-
- if (compact < 0x3FD78000 || compact > 0x4004BC7E) { // 2^(-40) > |X| > 15 PI
- if (compact > 0x3FFF8000) { // |X| >= 15 PI
- // REDUCEX
- fp1 = packFloatx80(0, 0, 0);
- if (compact == 0x7FFEFFFF) {
- twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, LIT64(0xC90FDAA200000000));
- twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, LIT64(0x85A308D300000000));
- fp0 = floatx80_add(fp0, twopi1, status);
- fp1 = fp0;
- fp0 = floatx80_add(fp0, twopi2, status);
- fp1 = floatx80_sub(fp1, fp0, status);
- fp1 = floatx80_add(fp1, twopi2, status);
- }
- loop:
- xSign = extractFloatx80Sign(fp0);
- xExp = extractFloatx80Exp(fp0);
- xExp -= 0x3FFF;
- if (xExp <= 28) {
- l = 0;
- endflag = 1;
- } else {
- l = xExp - 27;
- endflag = 0;
- }
- invtwopi = packFloatx80(0, 0x3FFE - l, LIT64(0xA2F9836E4E44152A)); // INVTWOPI
- twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
- twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
-
- twoto63 = 0x5F000000;
- twoto63 |= xSign ? 0x80000000 : 0x00000000; // SIGN(INARG)*2^63 IN SGL
-
- fp2 = floatx80_mul(fp0, invtwopi, status);
- fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), status); // THE FRACTIONAL PART OF FP2 IS ROUNDED
- fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), status); // FP2 is N
- fp4 = floatx80_mul(twopi1, fp2, status); // W = N*P1
- fp5 = floatx80_mul(twopi2, fp2, status); // w = N*P2
- fp3 = floatx80_add(fp4, fp5, status); // FP3 is P
- fp4 = floatx80_sub(fp4, fp3, status); // W-P
- fp0 = floatx80_sub(fp0, fp3, status); // FP0 is A := R - P
- fp4 = floatx80_add(fp4, fp5, status); // FP4 is p = (W-P)+w
- fp3 = fp0; // FP3 is A
- fp1 = floatx80_sub(fp1, fp4, status); // FP1 is a := r - p
- fp0 = floatx80_add(fp0, fp1, status); // FP0 is R := A+a
-
- if (endflag > 0) {
- n = floatx80_to_int32(fp2, status);
- goto tancont;
- }
- fp3 = floatx80_sub(fp3, fp0, status); // A-R
- fp1 = floatx80_add(fp1, fp3, status); // FP1 is r := (A-R)+a
- goto loop;
- } else {
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_move(a, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else {
- fp1 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3FE45F306DC9C883), status), status); // X*2/PI
-
- n = floatx80_to_int32(fp1, status);
- j = 32 + n;
-
- fp0 = floatx80_sub(fp0, pi_tbl[j], status); // X-Y1
- fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), status); // FP0 IS R = (X-Y1)-Y2
-
- tancont:
- if (n & 1) {
- // NODD
- fp1 = fp0; // R
- fp0 = floatx80_mul(fp0, fp0, status); // S = R*R
- fp3 = float64_to_floatx80(LIT64(0x3EA0B759F50F8688), status); // Q4
- fp2 = float64_to_floatx80(LIT64(0xBEF2BAA5A8924F04), status); // P3
- fp3 = floatx80_mul(fp3, fp0, status); // SQ4
- fp2 = floatx80_mul(fp2, fp0, status); // SP3
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF346F59B39BA65F), status), status); // Q3+SQ4
- fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00));
- fp2 = floatx80_add(fp2, fp4, status); // P2+SP3
- fp3 = floatx80_mul(fp3, fp0, status); // S(Q3+SQ4)
- fp2 = floatx80_mul(fp2, fp0, status); // S(P2+SP3)
- fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1));
- fp3 = floatx80_add(fp3, fp4, status); // Q2+S(Q3+SQ4)
- fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA));
- fp2 = floatx80_add(fp2, fp4, status); // P1+S(P2+SP3)
- fp3 = floatx80_mul(fp3, fp0, status); // S(Q2+S(Q3+SQ4))
- fp2 = floatx80_mul(fp2, fp0, status); // S(P1+S(P2+SP3))
- fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE));
- fp3 = floatx80_add(fp3, fp4, status); // Q1+S(Q2+S(Q3+SQ4))
- fp2 = floatx80_mul(fp2, fp1, status); // RS(P1+S(P2+SP3))
- fp0 = floatx80_mul(fp0, fp3, status); // S(Q1+S(Q2+S(Q3+SQ4)))
- fp1 = floatx80_add(fp1, fp2, status); // R+RS(P1+S(P2+SP3))
- fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1+S(Q1+S(Q2+S(Q3+SQ4)))
-
- xSign = extractFloatx80Sign(fp1);
- xExp = extractFloatx80Exp(fp1);
- xSig = extractFloatx80Frac(fp1);
- xSign ^= 1;
- fp1 = packFloatx80(xSign, xExp, xSig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_div(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
- fp3 = float64_to_floatx80(LIT64(0x3EA0B759F50F8688), status); // Q4
- fp2 = float64_to_floatx80(LIT64(0xBEF2BAA5A8924F04), status); // P3
- fp3 = floatx80_mul(fp3, fp1, status); // SQ4
- fp2 = floatx80_mul(fp2, fp1, status); // SP3
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF346F59B39BA65F), status), status); // Q3+SQ4
- fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00));
- fp2 = floatx80_add(fp2, fp4, status); // P2+SP3
- fp3 = floatx80_mul(fp3, fp1, status); // S(Q3+SQ4)
- fp2 = floatx80_mul(fp2, fp1, status); // S(P2+SP3)
- fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1));
- fp3 = floatx80_add(fp3, fp4, status); // Q2+S(Q3+SQ4)
- fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA));
- fp2 = floatx80_add(fp2, fp4, status); // P1+S(P2+SP3)
- fp3 = floatx80_mul(fp3, fp1, status); // S(Q2+S(Q3+SQ4))
- fp2 = floatx80_mul(fp2, fp1, status); // S(P1+S(P2+SP3))
- fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE));
- fp3 = floatx80_add(fp3, fp4, status); // Q1+S(Q2+S(Q3+SQ4))
- fp2 = floatx80_mul(fp2, fp0, status); // RS(P1+S(P2+SP3))
- fp1 = floatx80_mul(fp1, fp3, status); // S(Q1+S(Q2+S(Q3+SQ4)))
- fp0 = floatx80_add(fp0, fp2, status); // R+RS(P1+S(P2+SP3))
- fp1 = floatx80_add(fp1, float32_to_floatx80(0x3F800000, status), status); // 1+S(Q1+S(Q2+S(Q3+SQ4)))
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_div(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
+ flag aSign, xSign;
+ int32_t aExp, xExp;
+ uint64_t aSig, xSig;
+
+ int32_t compact, l, n, j;
+ floatx80 fp0, fp1, fp2, fp3, fp4, fp5, invtwopi, twopi1, twopi2;
+ float32 twoto63;
+ flag endflag;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ float_raise(float_flag_invalid, status);
+ a.low = floatx80_default_nan_low;
+ a.high = floatx80_default_nan_high;
+ return a;
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ fp0 = a;
+
+ if (compact < 0x3FD78000 || compact > 0x4004BC7E) { // 2^(-40) > |X| > 15 PI
+ if (compact > 0x3FFF8000) { // |X| >= 15 PI
+ // REDUCEX
+ fp1 = packFloatx80(0, 0, 0);
+ if (compact == 0x7FFEFFFF) {
+ twopi1 = packFloatx80(aSign ^ 1, 0x7FFE, LIT64(0xC90FDAA200000000));
+ twopi2 = packFloatx80(aSign ^ 1, 0x7FDC, LIT64(0x85A308D300000000));
+ fp0 = floatx80_add(fp0, twopi1, status);
+ fp1 = fp0;
+ fp0 = floatx80_add(fp0, twopi2, status);
+ fp1 = floatx80_sub(fp1, fp0, status);
+ fp1 = floatx80_add(fp1, twopi2, status);
+ }
+ loop:
+ xSign = extractFloatx80Sign(fp0);
+ xExp = extractFloatx80Exp(fp0);
+ xExp -= 0x3FFF;
+ if (xExp <= 28) {
+ l = 0;
+ endflag = 1;
+ } else {
+ l = xExp - 27;
+ endflag = 0;
+ }
+ invtwopi = packFloatx80(0, 0x3FFE - l, LIT64(0xA2F9836E4E44152A)); // INVTWOPI
+ twopi1 = packFloatx80(0, 0x3FFF + l, LIT64(0xC90FDAA200000000));
+ twopi2 = packFloatx80(0, 0x3FDD + l, LIT64(0x85A308D300000000));
+
+ twoto63 = 0x5F000000;
+ twoto63 |= xSign ? 0x80000000 : 0x00000000; // SIGN(INARG)*2^63 IN SGL
+
+ fp2 = floatx80_mul(fp0, invtwopi, status);
+ fp2 = floatx80_add(fp2, float32_to_floatx80(twoto63, status), status); // THE FRACTIONAL PART OF FP2 IS ROUNDED
+ fp2 = floatx80_sub(fp2, float32_to_floatx80(twoto63, status), status); // FP2 is N
+ fp4 = floatx80_mul(twopi1, fp2, status); // W = N*P1
+ fp5 = floatx80_mul(twopi2, fp2, status); // w = N*P2
+ fp3 = floatx80_add(fp4, fp5, status); // FP3 is P
+ fp4 = floatx80_sub(fp4, fp3, status); // W-P
+ fp0 = floatx80_sub(fp0, fp3, status); // FP0 is A := R - P
+ fp4 = floatx80_add(fp4, fp5, status); // FP4 is p = (W-P)+w
+ fp3 = fp0; // FP3 is A
+ fp1 = floatx80_sub(fp1, fp4, status); // FP1 is a := r - p
+ fp0 = floatx80_add(fp0, fp1, status); // FP0 is R := A+a
+
+ if (endflag > 0) {
+ n = floatx80_to_int32(fp2, status);
+ goto tancont;
+ }
+ fp3 = floatx80_sub(fp3, fp0, status); // A-R
+ fp1 = floatx80_add(fp1, fp3, status); // FP1 is r := (A-R)+a
+ goto loop;
+ } else {
+ RESET_PREC;
+
+ a = floatx80_move(a, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else {
+ fp1 = floatx80_mul(fp0, float64_to_floatx80(LIT64(0x3FE45F306DC9C883), status), status); // X*2/PI
+
+ n = floatx80_to_int32(fp1, status);
+ j = 32 + n;
+
+ fp0 = floatx80_sub(fp0, pi_tbl[j], status); // X-Y1
+ fp0 = floatx80_sub(fp0, float32_to_floatx80(pi_tbl2[j], status), status); // FP0 IS R = (X-Y1)-Y2
+
+ tancont:
+ if (n & 1) {
+ // NODD
+ fp1 = fp0; // R
+ fp0 = floatx80_mul(fp0, fp0, status); // S = R*R
+ fp3 = float64_to_floatx80(LIT64(0x3EA0B759F50F8688), status); // Q4
+ fp2 = float64_to_floatx80(LIT64(0xBEF2BAA5A8924F04), status); // P3
+ fp3 = floatx80_mul(fp3, fp0, status); // SQ4
+ fp2 = floatx80_mul(fp2, fp0, status); // SP3
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF346F59B39BA65F), status), status); // Q3+SQ4
+ fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00));
+ fp2 = floatx80_add(fp2, fp4, status); // P2+SP3
+ fp3 = floatx80_mul(fp3, fp0, status); // S(Q3+SQ4)
+ fp2 = floatx80_mul(fp2, fp0, status); // S(P2+SP3)
+ fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1));
+ fp3 = floatx80_add(fp3, fp4, status); // Q2+S(Q3+SQ4)
+ fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA));
+ fp2 = floatx80_add(fp2, fp4, status); // P1+S(P2+SP3)
+ fp3 = floatx80_mul(fp3, fp0, status); // S(Q2+S(Q3+SQ4))
+ fp2 = floatx80_mul(fp2, fp0, status); // S(P1+S(P2+SP3))
+ fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE));
+ fp3 = floatx80_add(fp3, fp4, status); // Q1+S(Q2+S(Q3+SQ4))
+ fp2 = floatx80_mul(fp2, fp1, status); // RS(P1+S(P2+SP3))
+ fp0 = floatx80_mul(fp0, fp3, status); // S(Q1+S(Q2+S(Q3+SQ4)))
+ fp1 = floatx80_add(fp1, fp2, status); // R+RS(P1+S(P2+SP3))
+ fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1+S(Q1+S(Q2+S(Q3+SQ4)))
+
+ xSign = extractFloatx80Sign(fp1);
+ xExp = extractFloatx80Exp(fp1);
+ xSig = extractFloatx80Frac(fp1);
+ xSign ^= 1;
+ fp1 = packFloatx80(xSign, xExp, xSig);
+
+ RESET_PREC;
+
+ a = floatx80_div(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
+ fp3 = float64_to_floatx80(LIT64(0x3EA0B759F50F8688), status); // Q4
+ fp2 = float64_to_floatx80(LIT64(0xBEF2BAA5A8924F04), status); // P3
+ fp3 = floatx80_mul(fp3, fp1, status); // SQ4
+ fp2 = floatx80_mul(fp2, fp1, status); // SP3
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0xBF346F59B39BA65F), status), status); // Q3+SQ4
+ fp4 = packFloatx80(0, 0x3FF6, LIT64(0xE073D3FC199C4A00));
+ fp2 = floatx80_add(fp2, fp4, status); // P2+SP3
+ fp3 = floatx80_mul(fp3, fp1, status); // S(Q3+SQ4)
+ fp2 = floatx80_mul(fp2, fp1, status); // S(P2+SP3)
+ fp4 = packFloatx80(0, 0x3FF9, LIT64(0xD23CD68415D95FA1));
+ fp3 = floatx80_add(fp3, fp4, status); // Q2+S(Q3+SQ4)
+ fp4 = packFloatx80(1, 0x3FFC, LIT64(0x8895A6C5FB423BCA));
+ fp2 = floatx80_add(fp2, fp4, status); // P1+S(P2+SP3)
+ fp3 = floatx80_mul(fp3, fp1, status); // S(Q2+S(Q3+SQ4))
+ fp2 = floatx80_mul(fp2, fp1, status); // S(P1+S(P2+SP3))
+ fp4 = packFloatx80(1, 0x3FFD, LIT64(0xEEF57E0DA84BC8CE));
+ fp3 = floatx80_add(fp3, fp4, status); // Q1+S(Q2+S(Q3+SQ4))
+ fp2 = floatx80_mul(fp2, fp0, status); // RS(P1+S(P2+SP3))
+ fp1 = floatx80_mul(fp1, fp3, status); // S(Q1+S(Q2+S(Q3+SQ4)))
+ fp0 = floatx80_add(fp0, fp2, status); // R+RS(P1+S(P2+SP3))
+ fp1 = floatx80_add(fp1, float32_to_floatx80(0x3F800000, status), status); // 1+S(Q1+S(Q2+S(Q3+SQ4)))
+
+ RESET_PREC;
+
+ a = floatx80_div(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_tanh(floatx80 a, float_status *status)
{
- flag aSign, vSign;
- int32_t aExp, vExp;
- uint64_t aSig, vSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact;
- floatx80 fp0, fp1;
- float32 sign;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- return packFloatx80(aSign, one_exp, one_sig);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(aSign, 0, 0);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact < 0x3FD78000 || compact > 0x3FFFDDCE) {
- // TANHBORS
- if (compact < 0x3FFF8000) {
- // TANHSM
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_move(a, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- if (compact > 0x40048AA1) {
- // TANHHUGE
- sign = 0x3F800000;
- sign |= aSign ? 0x80000000 : 0x00000000;
- fp0 = float32_to_floatx80(sign, status);
- sign &= 0x80000000;
- sign ^= 0x80800000; // -SIGN(X)*EPS
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, float32_to_floatx80(sign, status), status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- } else {
- fp0 = packFloatx80(0, aExp+1, aSig); // Y = 2|X|
- fp0 = floatx80_etox(fp0, status); // FP0 IS EXP(Y)
- fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // EXP(Y)+1
- sign = aSign ? 0x80000000 : 0x00000000;
- fp1 = floatx80_div(float32_to_floatx80(sign^0xC0000000, status), fp0, status); // -SIGN(X)*2 / [EXP(Y)+1]
- fp0 = float32_to_floatx80(sign | 0x3F800000, status); // SIGN
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp1, fp0, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- }
- } else { // 2**(-40) < |X| < (5/2)LOG2
- fp0 = packFloatx80(0, aExp+1, aSig); // Y = 2|X|
- fp0 = floatx80_etoxm1(fp0, status); // FP0 IS Z = EXPM1(Y)
- fp1 = floatx80_add(fp0, float32_to_floatx80(0x40000000, status), status); // Z+2
-
- vSign = extractFloatx80Sign(fp1);
- vExp = extractFloatx80Exp(fp1);
- vSig = extractFloatx80Frac(fp1);
-
- fp1 = packFloatx80(vSign ^ aSign, vExp, vSig);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_div(fp0, fp1, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
+ flag aSign, vSign;
+ int32_t aExp, vExp;
+ uint64_t aSig, vSig;
+
+ int32_t compact;
+ floatx80 fp0, fp1;
+ float32 sign;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ return packFloatx80(aSign, one_exp, one_sig);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(aSign, 0, 0);
+ }
+
+ SET_PREC;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact < 0x3FD78000 || compact > 0x3FFFDDCE) {
+ // TANHBORS
+ if (compact < 0x3FFF8000) {
+ // TANHSM
+ RESET_PREC;
+
+ a = floatx80_move(a, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ if (compact > 0x40048AA1) {
+ // TANHHUGE
+ sign = 0x3F800000;
+ sign |= aSign ? 0x80000000 : 0x00000000;
+ fp0 = float32_to_floatx80(sign, status);
+ sign &= 0x80000000;
+ sign ^= 0x80800000; // -SIGN(X)*EPS
+
+ RESET_PREC;
+
+ a = floatx80_add(fp0, float32_to_floatx80(sign, status), status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ } else {
+ fp0 = packFloatx80(0, aExp+1, aSig); // Y = 2|X|
+ fp0 = floatx80_etox(fp0, status); // FP0 IS EXP(Y)
+ fp0 = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // EXP(Y)+1
+ sign = aSign ? 0x80000000 : 0x00000000;
+ fp1 = floatx80_div(float32_to_floatx80(sign^0xC0000000, status), fp0, status); // -SIGN(X)*2 / [EXP(Y)+1]
+ fp0 = float32_to_floatx80(sign | 0x3F800000, status); // SIGN
+
+ RESET_PREC;
+
+ a = floatx80_add(fp1, fp0, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ }
+ } else { // 2**(-40) < |X| < (5/2)LOG2
+ fp0 = packFloatx80(0, aExp+1, aSig); // Y = 2|X|
+ fp0 = floatx80_etoxm1(fp0, status); // FP0 IS Z = EXPM1(Y)
+ fp1 = floatx80_add(fp0, float32_to_floatx80(0x40000000, status), status); // Z+2
+
+ vSign = extractFloatx80Sign(fp1);
+ vExp = extractFloatx80Exp(fp1);
+ vSig = extractFloatx80Frac(fp1);
+
+ fp1 = packFloatx80(vSign ^ aSign, vExp, vSig);
+
+ RESET_PREC;
+
+ a = floatx80_div(fp0, fp1, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_tentox(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, n, j, l, m, m1;
- floatx80 fp0, fp1, fp2, fp3, adjfact, fact1, fact2;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- if (aSign) return packFloatx80(0, 0, 0);
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(0, one_exp, one_sig);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- fp0 = a;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact < 0x3FB98000 || compact > 0x400B9B07) { // |X| > 16480 LOG2/LOG10 or |X| < 2^(-70)
- if (compact > 0x3FFF8000) { // |X| > 16480
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- if (aSign) {
- return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, -0x1000, aSig, 0, status);
- } else {
- return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, aSig, 0, status);
- }
- } else { // |X| < 2^(-70)
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1 + X
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else { // 2^(-70) <= |X| <= 16480 LOG 2 / LOG 10
- fp1 = fp0; // X
- fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x406A934F0979A371), status), status); // X*64*LOG10/LOG2
- n = floatx80_to_int32(fp1, status); // N=INT(X*64*LOG10/LOG2)
- fp1 = int32_to_floatx80(n);
-
- j = n & 0x3F;
- l = n / 64; // NOTE: this is really arithmetic right shift by 6
- if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
- l--;
- }
- m = l / 2; // NOTE: this is really arithmetic right shift by 1
- if (l < 0 && (l & 1)) { // arithmetic right shift is division and round towards minus infinity
- m--;
- }
- m1 = l - m;
- m1 += 0x3FFF; // ADJFACT IS 2^(M')
-
- adjfact = packFloatx80(0, m1, one_sig);
- fact1 = exp2_tbl[j];
- fact1.high += m;
- fact2.high = exp2_tbl2[j]>>16;
- fact2.high += m;
- fact2.low = (uint64_t)(exp2_tbl2[j] & 0xFFFF);
- fact2.low <<= 48;
-
- fp2 = fp1; // N
- fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x3F734413509F8000), status), status); // N*(LOG2/64LOG10)_LEAD
- fp3 = packFloatx80(1, 0x3FCD, LIT64(0xC0219DC1DA994FD2));
- fp2 = floatx80_mul(fp2, fp3, status); // N*(LOG2/64LOG10)_TRAIL
- fp0 = floatx80_sub(fp0, fp1, status); // X - N L_LEAD
- fp0 = floatx80_sub(fp0, fp2, status); // X - N L_TRAIL
- fp2 = packFloatx80(0, 0x4000, LIT64(0x935D8DDDAAA8AC17)); // LOG10
- fp0 = floatx80_mul(fp0, fp2, status); // R
-
- // EXPR
- fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
- fp2 = float64_to_floatx80(LIT64(0x3F56C16D6F7BD0B2), status); // A5
- fp3 = float64_to_floatx80(LIT64(0x3F811112302C712C), status); // A4
- fp2 = floatx80_mul(fp2, fp1, status); // S*A5
- fp3 = floatx80_mul(fp3, fp1, status); // S*A4
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555554CC1), status), status); // A3+S*A5
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FC5555555554A54), status), status); // A2+S*A4
- fp2 = floatx80_mul(fp2, fp1, status); // S*(A3+S*A5)
- fp3 = floatx80_mul(fp3, fp1, status); // S*(A2+S*A4)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FE0000000000000), status), status); // A1+S*(A3+S*A5)
- fp3 = floatx80_mul(fp3, fp0, status); // R*S*(A2+S*A4)
-
- fp2 = floatx80_mul(fp2, fp1, status); // S*(A1+S*(A3+S*A5))
- fp0 = floatx80_add(fp0, fp3, status); // R+R*S*(A2+S*A4)
- fp0 = floatx80_add(fp0, fp2, status); // EXP(R) - 1
-
- fp0 = floatx80_mul(fp0, fact1, status);
- fp0 = floatx80_add(fp0, fact2, status);
- fp0 = floatx80_add(fp0, fact1, status);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, adjfact, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact, n, j, l, m, m1;
+ floatx80 fp0, fp1, fp2, fp3, adjfact, fact1, fact2;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ if (aSign) return packFloatx80(0, 0, 0);
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(0, one_exp, one_sig);
+ }
+
+ SET_PREC;
+
+ fp0 = a;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact < 0x3FB98000 || compact > 0x400B9B07) { // |X| > 16480 LOG2/LOG10 or |X| < 2^(-70)
+ if (compact > 0x3FFF8000) { // |X| > 16480
+ RESET_PREC;
+
+ if (aSign) {
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, -0x1000, aSig, 0, status);
+ } else {
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, aSig, 0, status);
+ }
+ } else { // |X| < 2^(-70)
+ RESET_PREC;
+
+ a = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1 + X
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else { // 2^(-70) <= |X| <= 16480 LOG 2 / LOG 10
+ fp1 = fp0; // X
+ fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x406A934F0979A371), status), status); // X*64*LOG10/LOG2
+ n = floatx80_to_int32(fp1, status); // N=INT(X*64*LOG10/LOG2)
+ fp1 = int32_to_floatx80(n);
+
+ j = n & 0x3F;
+ l = n / 64; // NOTE: this is really arithmetic right shift by 6
+ if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
+ l--;
+ }
+ m = l / 2; // NOTE: this is really arithmetic right shift by 1
+ if (l < 0 && (l & 1)) { // arithmetic right shift is division and round towards minus infinity
+ m--;
+ }
+ m1 = l - m;
+ m1 += 0x3FFF; // ADJFACT IS 2^(M')
+
+ adjfact = packFloatx80(0, m1, one_sig);
+ fact1 = exp2_tbl[j];
+ fact1.high += m;
+ fact2.high = exp2_tbl2[j]>>16;
+ fact2.high += m;
+ fact2.low = (uint64_t)(exp2_tbl2[j] & 0xFFFF);
+ fact2.low <<= 48;
+
+ fp2 = fp1; // N
+ fp1 = floatx80_mul(fp1, float64_to_floatx80(LIT64(0x3F734413509F8000), status), status); // N*(LOG2/64LOG10)_LEAD
+ fp3 = packFloatx80(1, 0x3FCD, LIT64(0xC0219DC1DA994FD2));
+ fp2 = floatx80_mul(fp2, fp3, status); // N*(LOG2/64LOG10)_TRAIL
+ fp0 = floatx80_sub(fp0, fp1, status); // X - N L_LEAD
+ fp0 = floatx80_sub(fp0, fp2, status); // X - N L_TRAIL
+ fp2 = packFloatx80(0, 0x4000, LIT64(0x935D8DDDAAA8AC17)); // LOG10
+ fp0 = floatx80_mul(fp0, fp2, status); // R
+
+ // EXPR
+ fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
+ fp2 = float64_to_floatx80(LIT64(0x3F56C16D6F7BD0B2), status); // A5
+ fp3 = float64_to_floatx80(LIT64(0x3F811112302C712C), status); // A4
+ fp2 = floatx80_mul(fp2, fp1, status); // S*A5
+ fp3 = floatx80_mul(fp3, fp1, status); // S*A4
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555554CC1), status), status); // A3+S*A5
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FC5555555554A54), status), status); // A2+S*A4
+ fp2 = floatx80_mul(fp2, fp1, status); // S*(A3+S*A5)
+ fp3 = floatx80_mul(fp3, fp1, status); // S*(A2+S*A4)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FE0000000000000), status), status); // A1+S*(A3+S*A5)
+ fp3 = floatx80_mul(fp3, fp0, status); // R*S*(A2+S*A4)
+
+ fp2 = floatx80_mul(fp2, fp1, status); // S*(A1+S*(A3+S*A5))
+ fp0 = floatx80_add(fp0, fp3, status); // R+R*S*(A2+S*A4)
+ fp0 = floatx80_add(fp0, fp2, status); // EXP(R) - 1
+
+ fp0 = floatx80_mul(fp0, fact1, status);
+ fp0 = floatx80_add(fp0, fact2, status);
+ fp0 = floatx80_add(fp0, fact1, status);
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, adjfact, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
/*----------------------------------------------------------------------------
floatx80 floatx80_twotox(floatx80 a, float_status *status)
{
- flag aSign;
- int32_t aExp;
- uint64_t aSig;
-
- int8_t user_rnd_mode, user_rnd_prec;
-
- int32_t compact, n, j, l, m, m1;
- floatx80 fp0, fp1, fp2, fp3, adjfact, fact1, fact2;
-
- aSig = extractFloatx80Frac(a);
- aExp = extractFloatx80Exp(a);
- aSign = extractFloatx80Sign(a);
-
- if (aExp == 0x7FFF) {
- if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
- if (aSign) return packFloatx80(0, 0, 0);
- return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
- }
-
- if (aExp == 0 && aSig == 0) {
- return packFloatx80(0, one_exp, one_sig);
- }
-
- user_rnd_mode = status->float_rounding_mode;
- user_rnd_prec = status->floatx80_rounding_precision;
-
- fp0 = a;
-
- compact = floatx80_make_compact(aExp, aSig);
-
- if (compact < 0x3FB98000 || compact > 0x400D80C0) { // |X| > 16480 or |X| < 2^(-70)
- if (compact > 0x3FFF8000) { // |X| > 16480
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- if (aSign) {
- return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, -0x1000, aSig, 0, status);
- } else {
- return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, aSig, 0, status);
- }
- } else { // |X| < 2^(-70)
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1 + X
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
- } else { // 2^(-70) <= |X| <= 16480
- fp1 = fp0; // X
- fp1 = floatx80_mul(fp1, float32_to_floatx80(0x42800000, status), status); // X * 64
- n = floatx80_to_int32(fp1, status);
- fp1 = int32_to_floatx80(n);
- j = n & 0x3F;
- l = n / 64; // NOTE: this is really arithmetic right shift by 6
- if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
- l--;
- }
- m = l / 2; // NOTE: this is really arithmetic right shift by 1
- if (l < 0 && (l & 1)) { // arithmetic right shift is division and round towards minus infinity
- m--;
- }
- m1 = l - m;
- m1 += 0x3FFF; // ADJFACT IS 2^(M')
-
- adjfact = packFloatx80(0, m1, one_sig);
- fact1 = exp2_tbl[j];
- fact1.high += m;
- fact2.high = exp2_tbl2[j]>>16;
- fact2.high += m;
- fact2.low = (uint64_t)(exp2_tbl2[j] & 0xFFFF);
- fact2.low <<= 48;
-
- fp1 = floatx80_mul(fp1, float32_to_floatx80(0x3C800000, status), status); // (1/64)*N
- fp0 = floatx80_sub(fp0, fp1, status); // X - (1/64)*INT(64 X)
- fp2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC)); // LOG2
- fp0 = floatx80_mul(fp0, fp2, status); // R
-
- // EXPR
- fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
- fp2 = float64_to_floatx80(LIT64(0x3F56C16D6F7BD0B2), status); // A5
- fp3 = float64_to_floatx80(LIT64(0x3F811112302C712C), status); // A4
- fp2 = floatx80_mul(fp2, fp1, status); // S*A5
- fp3 = floatx80_mul(fp3, fp1, status); // S*A4
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555554CC1), status), status); // A3+S*A5
- fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FC5555555554A54), status), status); // A2+S*A4
- fp2 = floatx80_mul(fp2, fp1, status); // S*(A3+S*A5)
- fp3 = floatx80_mul(fp3, fp1, status); // S*(A2+S*A4)
- fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FE0000000000000), status), status); // A1+S*(A3+S*A5)
- fp3 = floatx80_mul(fp3, fp0, status); // R*S*(A2+S*A4)
-
- fp2 = floatx80_mul(fp2, fp1, status); // S*(A1+S*(A3+S*A5))
- fp0 = floatx80_add(fp0, fp3, status); // R+R*S*(A2+S*A4)
- fp0 = floatx80_add(fp0, fp2, status); // EXP(R) - 1
-
- fp0 = floatx80_mul(fp0, fact1, status);
- fp0 = floatx80_add(fp0, fact2, status);
- fp0 = floatx80_add(fp0, fact1, status);
-
- status->float_rounding_mode = user_rnd_mode;
- status->floatx80_rounding_precision = user_rnd_prec;
-
- a = floatx80_mul(fp0, adjfact, status);
-
- float_raise(float_flag_inexact, status);
-
- return a;
- }
+ flag aSign;
+ int32_t aExp;
+ uint64_t aSig;
+
+ int32_t compact, n, j, l, m, m1;
+ floatx80 fp0, fp1, fp2, fp3, adjfact, fact1, fact2;
+
+ aSig = extractFloatx80Frac(a);
+ aExp = extractFloatx80Exp(a);
+ aSign = extractFloatx80Sign(a);
+
+ if (aExp == 0x7FFF) {
+ if ((uint64_t) (aSig<<1)) return propagateFloatx80NaNOneArg(a, status);
+ if (aSign) return packFloatx80(0, 0, 0);
+ return packFloatx80(0, 0x7FFF, floatx80_default_infinity_low);
+ }
+
+ if (aExp == 0 && aSig == 0) {
+ return packFloatx80(0, one_exp, one_sig);
+ }
+
+ SET_PREC;
+
+ fp0 = a;
+
+ compact = floatx80_make_compact(aExp, aSig);
+
+ if (compact < 0x3FB98000 || compact > 0x400D80C0) { // |X| > 16480 or |X| < 2^(-70)
+ if (compact > 0x3FFF8000) { // |X| > 16480
+ RESET_PREC;;
+
+ if (aSign) {
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, -0x1000, aSig, 0, status);
+ } else {
+ return roundAndPackFloatx80(status->floatx80_rounding_precision, 0, 0x8000, aSig, 0, status);
+ }
+ } else { // |X| < 2^(-70)
+ RESET_PREC;;
+
+ a = floatx80_add(fp0, float32_to_floatx80(0x3F800000, status), status); // 1 + X
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
+ } else { // 2^(-70) <= |X| <= 16480
+ fp1 = fp0; // X
+ fp1 = floatx80_mul(fp1, float32_to_floatx80(0x42800000, status), status); // X * 64
+ n = floatx80_to_int32(fp1, status);
+ fp1 = int32_to_floatx80(n);
+ j = n & 0x3F;
+ l = n / 64; // NOTE: this is really arithmetic right shift by 6
+ if (n < 0 && j) { // arithmetic right shift is division and round towards minus infinity
+ l--;
+ }
+ m = l / 2; // NOTE: this is really arithmetic right shift by 1
+ if (l < 0 && (l & 1)) { // arithmetic right shift is division and round towards minus infinity
+ m--;
+ }
+ m1 = l - m;
+ m1 += 0x3FFF; // ADJFACT IS 2^(M')
+
+ adjfact = packFloatx80(0, m1, one_sig);
+ fact1 = exp2_tbl[j];
+ fact1.high += m;
+ fact2.high = exp2_tbl2[j]>>16;
+ fact2.high += m;
+ fact2.low = (uint64_t)(exp2_tbl2[j] & 0xFFFF);
+ fact2.low <<= 48;
+
+ fp1 = floatx80_mul(fp1, float32_to_floatx80(0x3C800000, status), status); // (1/64)*N
+ fp0 = floatx80_sub(fp0, fp1, status); // X - (1/64)*INT(64 X)
+ fp2 = packFloatx80(0, 0x3FFE, LIT64(0xB17217F7D1CF79AC)); // LOG2
+ fp0 = floatx80_mul(fp0, fp2, status); // R
+
+ // EXPR
+ fp1 = floatx80_mul(fp0, fp0, status); // S = R*R
+ fp2 = float64_to_floatx80(LIT64(0x3F56C16D6F7BD0B2), status); // A5
+ fp3 = float64_to_floatx80(LIT64(0x3F811112302C712C), status); // A4
+ fp2 = floatx80_mul(fp2, fp1, status); // S*A5
+ fp3 = floatx80_mul(fp3, fp1, status); // S*A4
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FA5555555554CC1), status), status); // A3+S*A5
+ fp3 = floatx80_add(fp3, float64_to_floatx80(LIT64(0x3FC5555555554A54), status), status); // A2+S*A4
+ fp2 = floatx80_mul(fp2, fp1, status); // S*(A3+S*A5)
+ fp3 = floatx80_mul(fp3, fp1, status); // S*(A2+S*A4)
+ fp2 = floatx80_add(fp2, float64_to_floatx80(LIT64(0x3FE0000000000000), status), status); // A1+S*(A3+S*A5)
+ fp3 = floatx80_mul(fp3, fp0, status); // R*S*(A2+S*A4)
+
+ fp2 = floatx80_mul(fp2, fp1, status); // S*(A1+S*(A3+S*A5))
+ fp0 = floatx80_add(fp0, fp3, status); // R+R*S*(A2+S*A4)
+ fp0 = floatx80_add(fp0, fp2, status); // EXP(R) - 1
+
+ fp0 = floatx80_mul(fp0, fact1, status);
+ fp0 = floatx80_add(fp0, fact2, status);
+ fp0 = floatx80_add(fp0, fact1, status);
+
+ RESET_PREC;
+
+ a = floatx80_mul(fp0, adjfact, status);
+
+ float_raise(float_flag_inexact, status);
+
+ return a;
+ }
}
static const floatx80 atan_tbl[128] = {
- {0x3FFB, LIT64(0x83D152C5060B7A51)},
- {0x3FFB, LIT64(0x8BC8544565498B8B)},
- {0x3FFB, LIT64(0x93BE406017626B0D)},
- {0x3FFB, LIT64(0x9BB3078D35AEC202)},
- {0x3FFB, LIT64(0xA3A69A525DDCE7DE)},
- {0x3FFB, LIT64(0xAB98E94362765619)},
- {0x3FFB, LIT64(0xB389E502F9C59862)},
- {0x3FFB, LIT64(0xBB797E436B09E6FB)},
- {0x3FFB, LIT64(0xC367A5C739E5F446)},
- {0x3FFB, LIT64(0xCB544C61CFF7D5C6)},
- {0x3FFB, LIT64(0xD33F62F82488533E)},
- {0x3FFB, LIT64(0xDB28DA8162404C77)},
- {0x3FFB, LIT64(0xE310A4078AD34F18)},
- {0x3FFB, LIT64(0xEAF6B0A8188EE1EB)},
- {0x3FFB, LIT64(0xF2DAF1949DBE79D5)},
- {0x3FFB, LIT64(0xFABD581361D47E3E)},
- {0x3FFC, LIT64(0x8346AC210959ECC4)},
- {0x3FFC, LIT64(0x8B232A08304282D8)},
- {0x3FFC, LIT64(0x92FB70B8D29AE2F9)},
- {0x3FFC, LIT64(0x9ACF476F5CCD1CB4)},
- {0x3FFC, LIT64(0xA29E76304954F23F)},
- {0x3FFC, LIT64(0xAA68C5D08AB85230)},
- {0x3FFC, LIT64(0xB22DFFFD9D539F83)},
- {0x3FFC, LIT64(0xB9EDEF453E900EA5)},
- {0x3FFC, LIT64(0xC1A85F1CC75E3EA5)},
- {0x3FFC, LIT64(0xC95D1BE828138DE6)},
- {0x3FFC, LIT64(0xD10BF300840D2DE4)},
- {0x3FFC, LIT64(0xD8B4B2BA6BC05E7A)},
- {0x3FFC, LIT64(0xE0572A6BB42335F6)},
- {0x3FFC, LIT64(0xE7F32A70EA9CAA8F)},
- {0x3FFC, LIT64(0xEF88843264ECEFAA)},
- {0x3FFC, LIT64(0xF7170A28ECC06666)},
- {0x3FFD, LIT64(0x812FD288332DAD32)},
- {0x3FFD, LIT64(0x88A8D1B1218E4D64)},
- {0x3FFD, LIT64(0x9012AB3F23E4AEE8)},
- {0x3FFD, LIT64(0x976CC3D411E7F1B9)},
- {0x3FFD, LIT64(0x9EB689493889A227)},
- {0x3FFD, LIT64(0xA5EF72C34487361B)},
- {0x3FFD, LIT64(0xAD1700BAF07A7227)},
- {0x3FFD, LIT64(0xB42CBCFAFD37EFB7)},
- {0x3FFD, LIT64(0xBB303A940BA80F89)},
- {0x3FFD, LIT64(0xC22115C6FCAEBBAF)},
- {0x3FFD, LIT64(0xC8FEF3E686331221)},
- {0x3FFD, LIT64(0xCFC98330B4000C70)},
- {0x3FFD, LIT64(0xD6807AA1102C5BF9)},
- {0x3FFD, LIT64(0xDD2399BC31252AA3)},
- {0x3FFD, LIT64(0xE3B2A8556B8FC517)},
- {0x3FFD, LIT64(0xEA2D764F64315989)},
- {0x3FFD, LIT64(0xF3BF5BF8BAD1A21D)},
- {0x3FFE, LIT64(0x801CE39E0D205C9A)},
- {0x3FFE, LIT64(0x8630A2DADA1ED066)},
- {0x3FFE, LIT64(0x8C1AD445F3E09B8C)},
- {0x3FFE, LIT64(0x91DB8F1664F350E2)},
- {0x3FFE, LIT64(0x97731420365E538C)},
- {0x3FFE, LIT64(0x9CE1C8E6A0B8CDBA)},
- {0x3FFE, LIT64(0xA22832DBCADAAE09)},
- {0x3FFE, LIT64(0xA746F2DDB7602294)},
- {0x3FFE, LIT64(0xAC3EC0FB997DD6A2)},
- {0x3FFE, LIT64(0xB110688AEBDC6F6A)},
- {0x3FFE, LIT64(0xB5BCC49059ECC4B0)},
- {0x3FFE, LIT64(0xBA44BC7DD470782F)},
- {0x3FFE, LIT64(0xBEA94144FD049AAC)},
- {0x3FFE, LIT64(0xC2EB4ABB661628B6)},
- {0x3FFE, LIT64(0xC70BD54CE602EE14)},
- {0x3FFE, LIT64(0xCD000549ADEC7159)},
- {0x3FFE, LIT64(0xD48457D2D8EA4EA3)},
- {0x3FFE, LIT64(0xDB948DA712DECE3B)},
- {0x3FFE, LIT64(0xE23855F969E8096A)},
- {0x3FFE, LIT64(0xE8771129C4353259)},
- {0x3FFE, LIT64(0xEE57C16E0D379C0D)},
- {0x3FFE, LIT64(0xF3E10211A87C3779)},
- {0x3FFE, LIT64(0xF919039D758B8D41)},
- {0x3FFE, LIT64(0xFE058B8F64935FB3)},
- {0x3FFF, LIT64(0x8155FB497B685D04)},
- {0x3FFF, LIT64(0x83889E3549D108E1)},
- {0x3FFF, LIT64(0x859CFA76511D724B)},
- {0x3FFF, LIT64(0x87952ECFFF8131E7)},
- {0x3FFF, LIT64(0x89732FD19557641B)},
- {0x3FFF, LIT64(0x8B38CAD101932A35)},
- {0x3FFF, LIT64(0x8CE7A8D8301EE6B5)},
- {0x3FFF, LIT64(0x8F46A39E2EAE5281)},
- {0x3FFF, LIT64(0x922DA7D791888487)},
- {0x3FFF, LIT64(0x94D19FCBDEDF5241)},
- {0x3FFF, LIT64(0x973AB94419D2A08B)},
- {0x3FFF, LIT64(0x996FF00E08E10B96)},
- {0x3FFF, LIT64(0x9B773F9512321DA7)},
- {0x3FFF, LIT64(0x9D55CC320F935624)},
- {0x3FFF, LIT64(0x9F100575006CC571)},
- {0x3FFF, LIT64(0xA0A9C290D97CC06C)},
- {0x3FFF, LIT64(0xA22659EBEBC0630A)},
- {0x3FFF, LIT64(0xA388B4AFF6EF0EC9)},
- {0x3FFF, LIT64(0xA4D35F1061D292C4)},
- {0x3FFF, LIT64(0xA60895DCFBE3187E)},
- {0x3FFF, LIT64(0xA72A51DC7367BEAC)},
- {0x3FFF, LIT64(0xA83A51530956168F)},
- {0x3FFF, LIT64(0xA93A20077539546E)},
- {0x3FFF, LIT64(0xAA9E7245023B2605)},
- {0x3FFF, LIT64(0xAC4C84BA6FE4D58F)},
- {0x3FFF, LIT64(0xADCE4A4A606B9712)},
- {0x3FFF, LIT64(0xAF2A2DCD8D263C9C)},
- {0x3FFF, LIT64(0xB0656F81F22265C7)},
- {0x3FFF, LIT64(0xB18465150F71496A)},
- {0x3FFF, LIT64(0xB28AAA156F9ADA35)},
- {0x3FFF, LIT64(0xB37B44FF3766B895)},
- {0x3FFF, LIT64(0xB458C3DCE9630433)},
- {0x3FFF, LIT64(0xB525529D562246BD)},
- {0x3FFF, LIT64(0xB5E2CCA95F9D88CC)},
- {0x3FFF, LIT64(0xB692CADA7ACA1ADA)},
- {0x3FFF, LIT64(0xB736AEA7A6925838)},
- {0x3FFF, LIT64(0xB7CFAB287E9F7B36)},
- {0x3FFF, LIT64(0xB85ECC66CB219835)},
- {0x3FFF, LIT64(0xB8E4FD5A20A593DA)},
- {0x3FFF, LIT64(0xB99F41F64AFF9BB5)},
- {0x3FFF, LIT64(0xBA7F1E17842BBE7B)},
- {0x3FFF, LIT64(0xBB4712857637E17D)},
- {0x3FFF, LIT64(0xBBFABE8A4788DF6F)},
- {0x3FFF, LIT64(0xBC9D0FAD2B689D79)},
- {0x3FFF, LIT64(0xBD306A39471ECD86)},
- {0x3FFF, LIT64(0xBDB6C731856AF18A)},
- {0x3FFF, LIT64(0xBE31CAC502E80D70)},
- {0x3FFF, LIT64(0xBEA2D55CE33194E2)},
- {0x3FFF, LIT64(0xBF0B10B7C03128F0)},
- {0x3FFF, LIT64(0xBF6B7A18DACB778D)},
- {0x3FFF, LIT64(0xBFC4EA4663FA18F6)},
- {0x3FFF, LIT64(0xC0181BDE8B89A454)},
- {0x3FFF, LIT64(0xC065B066CFBF6439)},
- {0x3FFF, LIT64(0xC0AE345F56340AE6)},
- {0x3FFF, LIT64(0xC0F222919CB9E6A7)}
+ {0x3FFB, LIT64(0x83D152C5060B7A51)},
+ {0x3FFB, LIT64(0x8BC8544565498B8B)},
+ {0x3FFB, LIT64(0x93BE406017626B0D)},
+ {0x3FFB, LIT64(0x9BB3078D35AEC202)},
+ {0x3FFB, LIT64(0xA3A69A525DDCE7DE)},
+ {0x3FFB, LIT64(0xAB98E94362765619)},
+ {0x3FFB, LIT64(0xB389E502F9C59862)},
+ {0x3FFB, LIT64(0xBB797E436B09E6FB)},
+ {0x3FFB, LIT64(0xC367A5C739E5F446)},
+ {0x3FFB, LIT64(0xCB544C61CFF7D5C6)},
+ {0x3FFB, LIT64(0xD33F62F82488533E)},
+ {0x3FFB, LIT64(0xDB28DA8162404C77)},
+ {0x3FFB, LIT64(0xE310A4078AD34F18)},
+ {0x3FFB, LIT64(0xEAF6B0A8188EE1EB)},
+ {0x3FFB, LIT64(0xF2DAF1949DBE79D5)},
+ {0x3FFB, LIT64(0xFABD581361D47E3E)},
+ {0x3FFC, LIT64(0x8346AC210959ECC4)},
+ {0x3FFC, LIT64(0x8B232A08304282D8)},
+ {0x3FFC, LIT64(0x92FB70B8D29AE2F9)},
+ {0x3FFC, LIT64(0x9ACF476F5CCD1CB4)},
+ {0x3FFC, LIT64(0xA29E76304954F23F)},
+ {0x3FFC, LIT64(0xAA68C5D08AB85230)},
+ {0x3FFC, LIT64(0xB22DFFFD9D539F83)},
+ {0x3FFC, LIT64(0xB9EDEF453E900EA5)},
+ {0x3FFC, LIT64(0xC1A85F1CC75E3EA5)},
+ {0x3FFC, LIT64(0xC95D1BE828138DE6)},
+ {0x3FFC, LIT64(0xD10BF300840D2DE4)},
+ {0x3FFC, LIT64(0xD8B4B2BA6BC05E7A)},
+ {0x3FFC, LIT64(0xE0572A6BB42335F6)},
+ {0x3FFC, LIT64(0xE7F32A70EA9CAA8F)},
+ {0x3FFC, LIT64(0xEF88843264ECEFAA)},
+ {0x3FFC, LIT64(0xF7170A28ECC06666)},
+ {0x3FFD, LIT64(0x812FD288332DAD32)},
+ {0x3FFD, LIT64(0x88A8D1B1218E4D64)},
+ {0x3FFD, LIT64(0x9012AB3F23E4AEE8)},
+ {0x3FFD, LIT64(0x976CC3D411E7F1B9)},
+ {0x3FFD, LIT64(0x9EB689493889A227)},
+ {0x3FFD, LIT64(0xA5EF72C34487361B)},
+ {0x3FFD, LIT64(0xAD1700BAF07A7227)},
+ {0x3FFD, LIT64(0xB42CBCFAFD37EFB7)},
+ {0x3FFD, LIT64(0xBB303A940BA80F89)},
+ {0x3FFD, LIT64(0xC22115C6FCAEBBAF)},
+ {0x3FFD, LIT64(0xC8FEF3E686331221)},
+ {0x3FFD, LIT64(0xCFC98330B4000C70)},
+ {0x3FFD, LIT64(0xD6807AA1102C5BF9)},
+ {0x3FFD, LIT64(0xDD2399BC31252AA3)},
+ {0x3FFD, LIT64(0xE3B2A8556B8FC517)},
+ {0x3FFD, LIT64(0xEA2D764F64315989)},
+ {0x3FFD, LIT64(0xF3BF5BF8BAD1A21D)},
+ {0x3FFE, LIT64(0x801CE39E0D205C9A)},
+ {0x3FFE, LIT64(0x8630A2DADA1ED066)},
+ {0x3FFE, LIT64(0x8C1AD445F3E09B8C)},
+ {0x3FFE, LIT64(0x91DB8F1664F350E2)},
+ {0x3FFE, LIT64(0x97731420365E538C)},
+ {0x3FFE, LIT64(0x9CE1C8E6A0B8CDBA)},
+ {0x3FFE, LIT64(0xA22832DBCADAAE09)},
+ {0x3FFE, LIT64(0xA746F2DDB7602294)},
+ {0x3FFE, LIT64(0xAC3EC0FB997DD6A2)},
+ {0x3FFE, LIT64(0xB110688AEBDC6F6A)},
+ {0x3FFE, LIT64(0xB5BCC49059ECC4B0)},
+ {0x3FFE, LIT64(0xBA44BC7DD470782F)},
+ {0x3FFE, LIT64(0xBEA94144FD049AAC)},
+ {0x3FFE, LIT64(0xC2EB4ABB661628B6)},
+ {0x3FFE, LIT64(0xC70BD54CE602EE14)},
+ {0x3FFE, LIT64(0xCD000549ADEC7159)},
+ {0x3FFE, LIT64(0xD48457D2D8EA4EA3)},
+ {0x3FFE, LIT64(0xDB948DA712DECE3B)},
+ {0x3FFE, LIT64(0xE23855F969E8096A)},
+ {0x3FFE, LIT64(0xE8771129C4353259)},
+ {0x3FFE, LIT64(0xEE57C16E0D379C0D)},
+ {0x3FFE, LIT64(0xF3E10211A87C3779)},
+ {0x3FFE, LIT64(0xF919039D758B8D41)},
+ {0x3FFE, LIT64(0xFE058B8F64935FB3)},
+ {0x3FFF, LIT64(0x8155FB497B685D04)},
+ {0x3FFF, LIT64(0x83889E3549D108E1)},
+ {0x3FFF, LIT64(0x859CFA76511D724B)},
+ {0x3FFF, LIT64(0x87952ECFFF8131E7)},
+ {0x3FFF, LIT64(0x89732FD19557641B)},
+ {0x3FFF, LIT64(0x8B38CAD101932A35)},
+ {0x3FFF, LIT64(0x8CE7A8D8301EE6B5)},
+ {0x3FFF, LIT64(0x8F46A39E2EAE5281)},
+ {0x3FFF, LIT64(0x922DA7D791888487)},
+ {0x3FFF, LIT64(0x94D19FCBDEDF5241)},
+ {0x3FFF, LIT64(0x973AB94419D2A08B)},
+ {0x3FFF, LIT64(0x996FF00E08E10B96)},
+ {0x3FFF, LIT64(0x9B773F9512321DA7)},
+ {0x3FFF, LIT64(0x9D55CC320F935624)},
+ {0x3FFF, LIT64(0x9F100575006CC571)},
+ {0x3FFF, LIT64(0xA0A9C290D97CC06C)},
+ {0x3FFF, LIT64(0xA22659EBEBC0630A)},
+ {0x3FFF, LIT64(0xA388B4AFF6EF0EC9)},
+ {0x3FFF, LIT64(0xA4D35F1061D292C4)},
+ {0x3FFF, LIT64(0xA60895DCFBE3187E)},
+ {0x3FFF, LIT64(0xA72A51DC7367BEAC)},
+ {0x3FFF, LIT64(0xA83A51530956168F)},
+ {0x3FFF, LIT64(0xA93A20077539546E)},
+ {0x3FFF, LIT64(0xAA9E7245023B2605)},
+ {0x3FFF, LIT64(0xAC4C84BA6FE4D58F)},
+ {0x3FFF, LIT64(0xADCE4A4A606B9712)},
+ {0x3FFF, LIT64(0xAF2A2DCD8D263C9C)},
+ {0x3FFF, LIT64(0xB0656F81F22265C7)},
+ {0x3FFF, LIT64(0xB18465150F71496A)},
+ {0x3FFF, LIT64(0xB28AAA156F9ADA35)},
+ {0x3FFF, LIT64(0xB37B44FF3766B895)},
+ {0x3FFF, LIT64(0xB458C3DCE9630433)},
+ {0x3FFF, LIT64(0xB525529D562246BD)},
+ {0x3FFF, LIT64(0xB5E2CCA95F9D88CC)},
+ {0x3FFF, LIT64(0xB692CADA7ACA1ADA)},
+ {0x3FFF, LIT64(0xB736AEA7A6925838)},
+ {0x3FFF, LIT64(0xB7CFAB287E9F7B36)},
+ {0x3FFF, LIT64(0xB85ECC66CB219835)},
+ {0x3FFF, LIT64(0xB8E4FD5A20A593DA)},
+ {0x3FFF, LIT64(0xB99F41F64AFF9BB5)},
+ {0x3FFF, LIT64(0xBA7F1E17842BBE7B)},
+ {0x3FFF, LIT64(0xBB4712857637E17D)},
+ {0x3FFF, LIT64(0xBBFABE8A4788DF6F)},
+ {0x3FFF, LIT64(0xBC9D0FAD2B689D79)},
+ {0x3FFF, LIT64(0xBD306A39471ECD86)},
+ {0x3FFF, LIT64(0xBDB6C731856AF18A)},
+ {0x3FFF, LIT64(0xBE31CAC502E80D70)},
+ {0x3FFF, LIT64(0xBEA2D55CE33194E2)},
+ {0x3FFF, LIT64(0xBF0B10B7C03128F0)},
+ {0x3FFF, LIT64(0xBF6B7A18DACB778D)},
+ {0x3FFF, LIT64(0xBFC4EA4663FA18F6)},
+ {0x3FFF, LIT64(0xC0181BDE8B89A454)},
+ {0x3FFF, LIT64(0xC065B066CFBF6439)},
+ {0x3FFF, LIT64(0xC0AE345F56340AE6)},
+ {0x3FFF, LIT64(0xC0F222919CB9E6A7)}
};
static const floatx80 exp_tbl[64] = {
- {0x3FFF, LIT64(0x8000000000000000)},
- {0x3FFF, LIT64(0x8164D1F3BC030774)},
- {0x3FFF, LIT64(0x82CD8698AC2BA1D8)},
- {0x3FFF, LIT64(0x843A28C3ACDE4048)},
- {0x3FFF, LIT64(0x85AAC367CC487B14)},
- {0x3FFF, LIT64(0x871F61969E8D1010)},
- {0x3FFF, LIT64(0x88980E8092DA8528)},
- {0x3FFF, LIT64(0x8A14D575496EFD9C)},
- {0x3FFF, LIT64(0x8B95C1E3EA8BD6E8)},
- {0x3FFF, LIT64(0x8D1ADF5B7E5BA9E4)},
- {0x3FFF, LIT64(0x8EA4398B45CD53C0)},
- {0x3FFF, LIT64(0x9031DC431466B1DC)},
- {0x3FFF, LIT64(0x91C3D373AB11C338)},
- {0x3FFF, LIT64(0x935A2B2F13E6E92C)},
- {0x3FFF, LIT64(0x94F4EFA8FEF70960)},
- {0x3FFF, LIT64(0x96942D3720185A00)},
- {0x3FFF, LIT64(0x9837F0518DB8A970)},
- {0x3FFF, LIT64(0x99E0459320B7FA64)},
- {0x3FFF, LIT64(0x9B8D39B9D54E5538)},
- {0x3FFF, LIT64(0x9D3ED9A72CFFB750)},
- {0x3FFF, LIT64(0x9EF5326091A111AC)},
- {0x3FFF, LIT64(0xA0B0510FB9714FC4)},
- {0x3FFF, LIT64(0xA27043030C496818)},
- {0x3FFF, LIT64(0xA43515AE09E680A0)},
- {0x3FFF, LIT64(0xA5FED6A9B15138EC)},
- {0x3FFF, LIT64(0xA7CD93B4E9653568)},
- {0x3FFF, LIT64(0xA9A15AB4EA7C0EF8)},
- {0x3FFF, LIT64(0xAB7A39B5A93ED338)},
- {0x3FFF, LIT64(0xAD583EEA42A14AC8)},
- {0x3FFF, LIT64(0xAF3B78AD690A4374)},
- {0x3FFF, LIT64(0xB123F581D2AC2590)},
- {0x3FFF, LIT64(0xB311C412A9112488)},
- {0x3FFF, LIT64(0xB504F333F9DE6484)},
- {0x3FFF, LIT64(0xB6FD91E328D17790)},
- {0x3FFF, LIT64(0xB8FBAF4762FB9EE8)},
- {0x3FFF, LIT64(0xBAFF5AB2133E45FC)},
- {0x3FFF, LIT64(0xBD08A39F580C36C0)},
- {0x3FFF, LIT64(0xBF1799B67A731084)},
- {0x3FFF, LIT64(0xC12C4CCA66709458)},
- {0x3FFF, LIT64(0xC346CCDA24976408)},
- {0x3FFF, LIT64(0xC5672A115506DADC)},
- {0x3FFF, LIT64(0xC78D74C8ABB9B15C)},
- {0x3FFF, LIT64(0xC9B9BD866E2F27A4)},
- {0x3FFF, LIT64(0xCBEC14FEF2727C5C)},
- {0x3FFF, LIT64(0xCE248C151F8480E4)},
- {0x3FFF, LIT64(0xD06333DAEF2B2594)},
- {0x3FFF, LIT64(0xD2A81D91F12AE45C)},
- {0x3FFF, LIT64(0xD4F35AABCFEDFA20)},
- {0x3FFF, LIT64(0xD744FCCAD69D6AF4)},
- {0x3FFF, LIT64(0xD99D15C278AFD7B4)},
- {0x3FFF, LIT64(0xDBFBB797DAF23754)},
- {0x3FFF, LIT64(0xDE60F4825E0E9124)},
- {0x3FFF, LIT64(0xE0CCDEEC2A94E110)},
- {0x3FFF, LIT64(0xE33F8972BE8A5A50)},
- {0x3FFF, LIT64(0xE5B906E77C8348A8)},
- {0x3FFF, LIT64(0xE8396A503C4BDC68)},
- {0x3FFF, LIT64(0xEAC0C6E7DD243930)},
- {0x3FFF, LIT64(0xED4F301ED9942B84)},
- {0x3FFF, LIT64(0xEFE4B99BDCDAF5CC)},
- {0x3FFF, LIT64(0xF281773C59FFB138)},
- {0x3FFF, LIT64(0xF5257D152486CC2C)},
- {0x3FFF, LIT64(0xF7D0DF730AD13BB8)},
- {0x3FFF, LIT64(0xFA83B2DB722A033C)},
- {0x3FFF, LIT64(0xFD3E0C0CF486C174)}
+ {0x3FFF, LIT64(0x8000000000000000)},
+ {0x3FFF, LIT64(0x8164D1F3BC030774)},
+ {0x3FFF, LIT64(0x82CD8698AC2BA1D8)},
+ {0x3FFF, LIT64(0x843A28C3ACDE4048)},
+ {0x3FFF, LIT64(0x85AAC367CC487B14)},
+ {0x3FFF, LIT64(0x871F61969E8D1010)},
+ {0x3FFF, LIT64(0x88980E8092DA8528)},
+ {0x3FFF, LIT64(0x8A14D575496EFD9C)},
+ {0x3FFF, LIT64(0x8B95C1E3EA8BD6E8)},
+ {0x3FFF, LIT64(0x8D1ADF5B7E5BA9E4)},
+ {0x3FFF, LIT64(0x8EA4398B45CD53C0)},
+ {0x3FFF, LIT64(0x9031DC431466B1DC)},
+ {0x3FFF, LIT64(0x91C3D373AB11C338)},
+ {0x3FFF, LIT64(0x935A2B2F13E6E92C)},
+ {0x3FFF, LIT64(0x94F4EFA8FEF70960)},
+ {0x3FFF, LIT64(0x96942D3720185A00)},
+ {0x3FFF, LIT64(0x9837F0518DB8A970)},
+ {0x3FFF, LIT64(0x99E0459320B7FA64)},
+ {0x3FFF, LIT64(0x9B8D39B9D54E5538)},
+ {0x3FFF, LIT64(0x9D3ED9A72CFFB750)},
+ {0x3FFF, LIT64(0x9EF5326091A111AC)},
+ {0x3FFF, LIT64(0xA0B0510FB9714FC4)},
+ {0x3FFF, LIT64(0xA27043030C496818)},
+ {0x3FFF, LIT64(0xA43515AE09E680A0)},
+ {0x3FFF, LIT64(0xA5FED6A9B15138EC)},
+ {0x3FFF, LIT64(0xA7CD93B4E9653568)},
+ {0x3FFF, LIT64(0xA9A15AB4EA7C0EF8)},
+ {0x3FFF, LIT64(0xAB7A39B5A93ED338)},
+ {0x3FFF, LIT64(0xAD583EEA42A14AC8)},
+ {0x3FFF, LIT64(0xAF3B78AD690A4374)},
+ {0x3FFF, LIT64(0xB123F581D2AC2590)},
+ {0x3FFF, LIT64(0xB311C412A9112488)},
+ {0x3FFF, LIT64(0xB504F333F9DE6484)},
+ {0x3FFF, LIT64(0xB6FD91E328D17790)},
+ {0x3FFF, LIT64(0xB8FBAF4762FB9EE8)},
+ {0x3FFF, LIT64(0xBAFF5AB2133E45FC)},
+ {0x3FFF, LIT64(0xBD08A39F580C36C0)},
+ {0x3FFF, LIT64(0xBF1799B67A731084)},
+ {0x3FFF, LIT64(0xC12C4CCA66709458)},
+ {0x3FFF, LIT64(0xC346CCDA24976408)},
+ {0x3FFF, LIT64(0xC5672A115506DADC)},
+ {0x3FFF, LIT64(0xC78D74C8ABB9B15C)},
+ {0x3FFF, LIT64(0xC9B9BD866E2F27A4)},
+ {0x3FFF, LIT64(0xCBEC14FEF2727C5C)},
+ {0x3FFF, LIT64(0xCE248C151F8480E4)},
+ {0x3FFF, LIT64(0xD06333DAEF2B2594)},
+ {0x3FFF, LIT64(0xD2A81D91F12AE45C)},
+ {0x3FFF, LIT64(0xD4F35AABCFEDFA20)},
+ {0x3FFF, LIT64(0xD744FCCAD69D6AF4)},
+ {0x3FFF, LIT64(0xD99D15C278AFD7B4)},
+ {0x3FFF, LIT64(0xDBFBB797DAF23754)},
+ {0x3FFF, LIT64(0xDE60F4825E0E9124)},
+ {0x3FFF, LIT64(0xE0CCDEEC2A94E110)},
+ {0x3FFF, LIT64(0xE33F8972BE8A5A50)},
+ {0x3FFF, LIT64(0xE5B906E77C8348A8)},
+ {0x3FFF, LIT64(0xE8396A503C4BDC68)},
+ {0x3FFF, LIT64(0xEAC0C6E7DD243930)},
+ {0x3FFF, LIT64(0xED4F301ED9942B84)},
+ {0x3FFF, LIT64(0xEFE4B99BDCDAF5CC)},
+ {0x3FFF, LIT64(0xF281773C59FFB138)},
+ {0x3FFF, LIT64(0xF5257D152486CC2C)},
+ {0x3FFF, LIT64(0xF7D0DF730AD13BB8)},
+ {0x3FFF, LIT64(0xFA83B2DB722A033C)},
+ {0x3FFF, LIT64(0xFD3E0C0CF486C174)}
};
static const float32 exp_tbl2[64] = {
- 0x00000000, 0x9F841A9B, 0x9FC1D5B9, 0xA0728369,
- 0x1FC5C95C, 0x1EE85C9F, 0x9FA20729, 0xA07BF9AF,
- 0xA0020DCF, 0x205A63DA, 0x1EB70051, 0x1F6EB029,
- 0xA0781494, 0x9EB319B0, 0x2017457D, 0x1F11D537,
- 0x9FB952DD, 0x1FE43087, 0x1FA2A818, 0x1FDE494D,
- 0x20504890, 0xA073691C, 0x1F9B7A05, 0xA0797126,
- 0xA071A140, 0x204F62DA, 0x1F283C4A, 0x9F9A7FDC,
- 0xA05B3FAC, 0x1FDF2610, 0x9F705F90, 0x201F678A,
- 0x1F32FB13, 0x20038B30, 0x200DC3CC, 0x9F8B2AE6,
- 0xA02BBF70, 0xA00BF518, 0xA041DD41, 0x9FDF137B,
- 0x201F1568, 0x1FC13A2E, 0xA03F8F03, 0x1FF4907D,
- 0x9E6E53E4, 0x1FD6D45C, 0xA076EDB9, 0x9FA6DE21,
- 0x1EE69A2F, 0x207F439F, 0x201EC207, 0x9E8BE175,
- 0x20032C4B, 0x2004DFF5, 0x1E72F47A, 0x1F722F22,
- 0xA017E945, 0x1F401A5B, 0x9FB9A9E3, 0x20744C05,
- 0x1F773A19, 0x1FFE90D5, 0xA041ED22, 0x1F853F3A
+ 0x00000000, 0x9F841A9B, 0x9FC1D5B9, 0xA0728369,
+ 0x1FC5C95C, 0x1EE85C9F, 0x9FA20729, 0xA07BF9AF,
+ 0xA0020DCF, 0x205A63DA, 0x1EB70051, 0x1F6EB029,
+ 0xA0781494, 0x9EB319B0, 0x2017457D, 0x1F11D537,
+ 0x9FB952DD, 0x1FE43087, 0x1FA2A818, 0x1FDE494D,
+ 0x20504890, 0xA073691C, 0x1F9B7A05, 0xA0797126,
+ 0xA071A140, 0x204F62DA, 0x1F283C4A, 0x9F9A7FDC,
+ 0xA05B3FAC, 0x1FDF2610, 0x9F705F90, 0x201F678A,
+ 0x1F32FB13, 0x20038B30, 0x200DC3CC, 0x9F8B2AE6,
+ 0xA02BBF70, 0xA00BF518, 0xA041DD41, 0x9FDF137B,
+ 0x201F1568, 0x1FC13A2E, 0xA03F8F03, 0x1FF4907D,
+ 0x9E6E53E4, 0x1FD6D45C, 0xA076EDB9, 0x9FA6DE21,
+ 0x1EE69A2F, 0x207F439F, 0x201EC207, 0x9E8BE175,
+ 0x20032C4B, 0x2004DFF5, 0x1E72F47A, 0x1F722F22,
+ 0xA017E945, 0x1F401A5B, 0x9FB9A9E3, 0x20744C05,
+ 0x1F773A19, 0x1FFE90D5, 0xA041ED22, 0x1F853F3A
};
static const floatx80 exp2_tbl[64] = {
- {0x3FFF, LIT64(0x8000000000000000)},
- {0x3FFF, LIT64(0x8164D1F3BC030773)},
- {0x3FFF, LIT64(0x82CD8698AC2BA1D7)},
- {0x3FFF, LIT64(0x843A28C3ACDE4046)},
- {0x3FFF, LIT64(0x85AAC367CC487B15)},
- {0x3FFF, LIT64(0x871F61969E8D1010)},
- {0x3FFF, LIT64(0x88980E8092DA8527)},
- {0x3FFF, LIT64(0x8A14D575496EFD9A)},
- {0x3FFF, LIT64(0x8B95C1E3EA8BD6E7)},
- {0x3FFF, LIT64(0x8D1ADF5B7E5BA9E6)},
- {0x3FFF, LIT64(0x8EA4398B45CD53C0)},
- {0x3FFF, LIT64(0x9031DC431466B1DC)},
- {0x3FFF, LIT64(0x91C3D373AB11C336)},
- {0x3FFF, LIT64(0x935A2B2F13E6E92C)},
- {0x3FFF, LIT64(0x94F4EFA8FEF70961)},
- {0x3FFF, LIT64(0x96942D3720185A00)},
- {0x3FFF, LIT64(0x9837F0518DB8A96F)},
- {0x3FFF, LIT64(0x99E0459320B7FA65)},
- {0x3FFF, LIT64(0x9B8D39B9D54E5539)},
- {0x3FFF, LIT64(0x9D3ED9A72CFFB751)},
- {0x3FFF, LIT64(0x9EF5326091A111AE)},
- {0x3FFF, LIT64(0xA0B0510FB9714FC2)},
- {0x3FFF, LIT64(0xA27043030C496819)},
- {0x3FFF, LIT64(0xA43515AE09E6809E)},
- {0x3FFF, LIT64(0xA5FED6A9B15138EA)},
- {0x3FFF, LIT64(0xA7CD93B4E965356A)},
- {0x3FFF, LIT64(0xA9A15AB4EA7C0EF8)},
- {0x3FFF, LIT64(0xAB7A39B5A93ED337)},
- {0x3FFF, LIT64(0xAD583EEA42A14AC6)},
- {0x3FFF, LIT64(0xAF3B78AD690A4375)},
- {0x3FFF, LIT64(0xB123F581D2AC2590)},
- {0x3FFF, LIT64(0xB311C412A9112489)},
- {0x3FFF, LIT64(0xB504F333F9DE6484)},
- {0x3FFF, LIT64(0xB6FD91E328D17791)},
- {0x3FFF, LIT64(0xB8FBAF4762FB9EE9)},
- {0x3FFF, LIT64(0xBAFF5AB2133E45FB)},
- {0x3FFF, LIT64(0xBD08A39F580C36BF)},
- {0x3FFF, LIT64(0xBF1799B67A731083)},
- {0x3FFF, LIT64(0xC12C4CCA66709456)},
- {0x3FFF, LIT64(0xC346CCDA24976407)},
- {0x3FFF, LIT64(0xC5672A115506DADD)},
- {0x3FFF, LIT64(0xC78D74C8ABB9B15D)},
- {0x3FFF, LIT64(0xC9B9BD866E2F27A3)},
- {0x3FFF, LIT64(0xCBEC14FEF2727C5D)},
- {0x3FFF, LIT64(0xCE248C151F8480E4)},
- {0x3FFF, LIT64(0xD06333DAEF2B2595)},
- {0x3FFF, LIT64(0xD2A81D91F12AE45A)},
- {0x3FFF, LIT64(0xD4F35AABCFEDFA1F)},
- {0x3FFF, LIT64(0xD744FCCAD69D6AF4)},
- {0x3FFF, LIT64(0xD99D15C278AFD7B6)},
- {0x3FFF, LIT64(0xDBFBB797DAF23755)},
- {0x3FFF, LIT64(0xDE60F4825E0E9124)},
- {0x3FFF, LIT64(0xE0CCDEEC2A94E111)},
- {0x3FFF, LIT64(0xE33F8972BE8A5A51)},
- {0x3FFF, LIT64(0xE5B906E77C8348A8)},
- {0x3FFF, LIT64(0xE8396A503C4BDC68)},
- {0x3FFF, LIT64(0xEAC0C6E7DD24392F)},
- {0x3FFF, LIT64(0xED4F301ED9942B84)},
- {0x3FFF, LIT64(0xEFE4B99BDCDAF5CB)},
- {0x3FFF, LIT64(0xF281773C59FFB13A)},
- {0x3FFF, LIT64(0xF5257D152486CC2C)},
- {0x3FFF, LIT64(0xF7D0DF730AD13BB9)},
- {0x3FFF, LIT64(0xFA83B2DB722A033A)},
- {0x3FFF, LIT64(0xFD3E0C0CF486C175)}
+ {0x3FFF, LIT64(0x8000000000000000)},
+ {0x3FFF, LIT64(0x8164D1F3BC030773)},
+ {0x3FFF, LIT64(0x82CD8698AC2BA1D7)},
+ {0x3FFF, LIT64(0x843A28C3ACDE4046)},
+ {0x3FFF, LIT64(0x85AAC367CC487B15)},
+ {0x3FFF, LIT64(0x871F61969E8D1010)},
+ {0x3FFF, LIT64(0x88980E8092DA8527)},
+ {0x3FFF, LIT64(0x8A14D575496EFD9A)},
+ {0x3FFF, LIT64(0x8B95C1E3EA8BD6E7)},
+ {0x3FFF, LIT64(0x8D1ADF5B7E5BA9E6)},
+ {0x3FFF, LIT64(0x8EA4398B45CD53C0)},
+ {0x3FFF, LIT64(0x9031DC431466B1DC)},
+ {0x3FFF, LIT64(0x91C3D373AB11C336)},
+ {0x3FFF, LIT64(0x935A2B2F13E6E92C)},
+ {0x3FFF, LIT64(0x94F4EFA8FEF70961)},
+ {0x3FFF, LIT64(0x96942D3720185A00)},
+ {0x3FFF, LIT64(0x9837F0518DB8A96F)},
+ {0x3FFF, LIT64(0x99E0459320B7FA65)},
+ {0x3FFF, LIT64(0x9B8D39B9D54E5539)},
+ {0x3FFF, LIT64(0x9D3ED9A72CFFB751)},
+ {0x3FFF, LIT64(0x9EF5326091A111AE)},
+ {0x3FFF, LIT64(0xA0B0510FB9714FC2)},
+ {0x3FFF, LIT64(0xA27043030C496819)},
+ {0x3FFF, LIT64(0xA43515AE09E6809E)},
+ {0x3FFF, LIT64(0xA5FED6A9B15138EA)},
+ {0x3FFF, LIT64(0xA7CD93B4E965356A)},
+ {0x3FFF, LIT64(0xA9A15AB4EA7C0EF8)},
+ {0x3FFF, LIT64(0xAB7A39B5A93ED337)},
+ {0x3FFF, LIT64(0xAD583EEA42A14AC6)},
+ {0x3FFF, LIT64(0xAF3B78AD690A4375)},
+ {0x3FFF, LIT64(0xB123F581D2AC2590)},
+ {0x3FFF, LIT64(0xB311C412A9112489)},
+ {0x3FFF, LIT64(0xB504F333F9DE6484)},
+ {0x3FFF, LIT64(0xB6FD91E328D17791)},
+ {0x3FFF, LIT64(0xB8FBAF4762FB9EE9)},
+ {0x3FFF, LIT64(0xBAFF5AB2133E45FB)},
+ {0x3FFF, LIT64(0xBD08A39F580C36BF)},
+ {0x3FFF, LIT64(0xBF1799B67A731083)},
+ {0x3FFF, LIT64(0xC12C4CCA66709456)},
+ {0x3FFF, LIT64(0xC346CCDA24976407)},
+ {0x3FFF, LIT64(0xC5672A115506DADD)},
+ {0x3FFF, LIT64(0xC78D74C8ABB9B15D)},
+ {0x3FFF, LIT64(0xC9B9BD866E2F27A3)},
+ {0x3FFF, LIT64(0xCBEC14FEF2727C5D)},
+ {0x3FFF, LIT64(0xCE248C151F8480E4)},
+ {0x3FFF, LIT64(0xD06333DAEF2B2595)},
+ {0x3FFF, LIT64(0xD2A81D91F12AE45A)},
+ {0x3FFF, LIT64(0xD4F35AABCFEDFA1F)},
+ {0x3FFF, LIT64(0xD744FCCAD69D6AF4)},
+ {0x3FFF, LIT64(0xD99D15C278AFD7B6)},
+ {0x3FFF, LIT64(0xDBFBB797DAF23755)},
+ {0x3FFF, LIT64(0xDE60F4825E0E9124)},
+ {0x3FFF, LIT64(0xE0CCDEEC2A94E111)},
+ {0x3FFF, LIT64(0xE33F8972BE8A5A51)},
+ {0x3FFF, LIT64(0xE5B906E77C8348A8)},
+ {0x3FFF, LIT64(0xE8396A503C4BDC68)},
+ {0x3FFF, LIT64(0xEAC0C6E7DD24392F)},
+ {0x3FFF, LIT64(0xED4F301ED9942B84)},
+ {0x3FFF, LIT64(0xEFE4B99BDCDAF5CB)},
+ {0x3FFF, LIT64(0xF281773C59FFB13A)},
+ {0x3FFF, LIT64(0xF5257D152486CC2C)},
+ {0x3FFF, LIT64(0xF7D0DF730AD13BB9)},
+ {0x3FFF, LIT64(0xFA83B2DB722A033A)},
+ {0x3FFF, LIT64(0xFD3E0C0CF486C175)}
};
static const float32 exp2_tbl2[64] = {
- 0x3F738000, 0x3FBEF7CA, 0x3FBDF8A9, 0x3FBCD7C9,
- 0xBFBDE8DA, 0x3FBDE85C, 0x3FBEBBF1, 0x3FBB80CA,
- 0xBFBA8373, 0xBFBE9670, 0x3FBDB700, 0x3FBEEEB0,
- 0x3FBBFD6D, 0xBFBDB319, 0x3FBDBA2B, 0x3FBE91D5,
- 0x3FBE8D5A, 0xBFBCDE7B, 0xBFBEBAAF, 0xBFBD86DA,
- 0xBFBEBEDD, 0x3FBCC96E, 0xBFBEC90B, 0x3FBBD1DB,
- 0x3FBCE5EB, 0xBFBEC274, 0x3FBEA83C, 0x3FBECB00,
- 0x3FBE9301, 0xBFBD8367, 0xBFBEF05F, 0x3FBDFB3C,
- 0x3FBEB2FB, 0x3FBAE2CB, 0x3FBCDC3C, 0x3FBEE9AA,
- 0xBFBEAEFD, 0xBFBCBF51, 0x3FBEF88A, 0x3FBD83B2,
- 0x3FBDF8AB, 0xBFBDFB17, 0xBFBEFE3C, 0xBFBBB6F8,
- 0xBFBCEE53, 0xBFBDA4AE, 0x3FBC9124, 0x3FBEB243,
- 0x3FBDE69A, 0xBFB8BC61, 0x3FBDF610, 0xBFBD8BE1,
- 0x3FBACB12, 0x3FBB9BFE, 0x3FBCF2F4, 0x3FBEF22F,
- 0xBFBDBF4A, 0x3FBEC01A, 0x3FBE8CAC, 0xBFBCBB3F,
- 0x3FBEF73A, 0xBFB8B795, 0x3FBEF84B, 0xBFBEF581
+ 0x3F738000, 0x3FBEF7CA, 0x3FBDF8A9, 0x3FBCD7C9,
+ 0xBFBDE8DA, 0x3FBDE85C, 0x3FBEBBF1, 0x3FBB80CA,
+ 0xBFBA8373, 0xBFBE9670, 0x3FBDB700, 0x3FBEEEB0,
+ 0x3FBBFD6D, 0xBFBDB319, 0x3FBDBA2B, 0x3FBE91D5,
+ 0x3FBE8D5A, 0xBFBCDE7B, 0xBFBEBAAF, 0xBFBD86DA,
+ 0xBFBEBEDD, 0x3FBCC96E, 0xBFBEC90B, 0x3FBBD1DB,
+ 0x3FBCE5EB, 0xBFBEC274, 0x3FBEA83C, 0x3FBECB00,
+ 0x3FBE9301, 0xBFBD8367, 0xBFBEF05F, 0x3FBDFB3C,
+ 0x3FBEB2FB, 0x3FBAE2CB, 0x3FBCDC3C, 0x3FBEE9AA,
+ 0xBFBEAEFD, 0xBFBCBF51, 0x3FBEF88A, 0x3FBD83B2,
+ 0x3FBDF8AB, 0xBFBDFB17, 0xBFBEFE3C, 0xBFBBB6F8,
+ 0xBFBCEE53, 0xBFBDA4AE, 0x3FBC9124, 0x3FBEB243,
+ 0x3FBDE69A, 0xBFB8BC61, 0x3FBDF610, 0xBFBD8BE1,
+ 0x3FBACB12, 0x3FBB9BFE, 0x3FBCF2F4, 0x3FBEF22F,
+ 0xBFBDBF4A, 0x3FBEC01A, 0x3FBE8CAC, 0xBFBCBB3F,
+ 0x3FBEF73A, 0xBFB8B795, 0x3FBEF84B, 0xBFBEF581
};
static const floatx80 log_tbl[128] = {
- {0x3FFE, LIT64(0xFE03F80FE03F80FE)},
- {0x3FF7, LIT64(0xFF015358833C47E2)},
- {0x3FFE, LIT64(0xFA232CF252138AC0)},
- {0x3FF9, LIT64(0xBDC8D83EAD88D549)},
- {0x3FFE, LIT64(0xF6603D980F6603DA)},
- {0x3FFA, LIT64(0x9CF43DCFF5EAFD48)},
- {0x3FFE, LIT64(0xF2B9D6480F2B9D65)},
- {0x3FFA, LIT64(0xDA16EB88CB8DF614)},
- {0x3FFE, LIT64(0xEF2EB71FC4345238)},
- {0x3FFB, LIT64(0x8B29B7751BD70743)},
- {0x3FFE, LIT64(0xEBBDB2A5C1619C8C)},
- {0x3FFB, LIT64(0xA8D839F830C1FB49)},
- {0x3FFE, LIT64(0xE865AC7B7603A197)},
- {0x3FFB, LIT64(0xC61A2EB18CD907AD)},
- {0x3FFE, LIT64(0xE525982AF70C880E)},
- {0x3FFB, LIT64(0xE2F2A47ADE3A18AF)},
- {0x3FFE, LIT64(0xE1FC780E1FC780E2)},
- {0x3FFB, LIT64(0xFF64898EDF55D551)},
- {0x3FFE, LIT64(0xDEE95C4CA037BA57)},
- {0x3FFC, LIT64(0x8DB956A97B3D0148)},
- {0x3FFE, LIT64(0xDBEB61EED19C5958)},
- {0x3FFC, LIT64(0x9B8FE100F47BA1DE)},
- {0x3FFE, LIT64(0xD901B2036406C80E)},
- {0x3FFC, LIT64(0xA9372F1D0DA1BD17)},
- {0x3FFE, LIT64(0xD62B80D62B80D62C)},
- {0x3FFC, LIT64(0xB6B07F38CE90E46B)},
- {0x3FFE, LIT64(0xD3680D3680D3680D)},
- {0x3FFC, LIT64(0xC3FD032906488481)},
- {0x3FFE, LIT64(0xD0B69FCBD2580D0B)},
- {0x3FFC, LIT64(0xD11DE0FF15AB18CA)},
- {0x3FFE, LIT64(0xCE168A7725080CE1)},
- {0x3FFC, LIT64(0xDE1433A16C66B150)},
- {0x3FFE, LIT64(0xCB8727C065C393E0)},
- {0x3FFC, LIT64(0xEAE10B5A7DDC8ADD)},
- {0x3FFE, LIT64(0xC907DA4E871146AD)},
- {0x3FFC, LIT64(0xF7856E5EE2C9B291)},
- {0x3FFE, LIT64(0xC6980C6980C6980C)},
- {0x3FFD, LIT64(0x82012CA5A68206D7)},
- {0x3FFE, LIT64(0xC4372F855D824CA6)},
- {0x3FFD, LIT64(0x882C5FCD7256A8C5)},
- {0x3FFE, LIT64(0xC1E4BBD595F6E947)},
- {0x3FFD, LIT64(0x8E44C60B4CCFD7DE)},
- {0x3FFE, LIT64(0xBFA02FE80BFA02FF)},
- {0x3FFD, LIT64(0x944AD09EF4351AF6)},
- {0x3FFE, LIT64(0xBD69104707661AA3)},
- {0x3FFD, LIT64(0x9A3EECD4C3EAA6B2)},
- {0x3FFE, LIT64(0xBB3EE721A54D880C)},
- {0x3FFD, LIT64(0xA0218434353F1DE8)},
- {0x3FFE, LIT64(0xB92143FA36F5E02E)},
- {0x3FFD, LIT64(0xA5F2FCABBBC506DA)},
- {0x3FFE, LIT64(0xB70FBB5A19BE3659)},
- {0x3FFD, LIT64(0xABB3B8BA2AD362A5)},
- {0x3FFE, LIT64(0xB509E68A9B94821F)},
- {0x3FFD, LIT64(0xB1641795CE3CA97B)},
- {0x3FFE, LIT64(0xB30F63528917C80B)},
- {0x3FFD, LIT64(0xB70475515D0F1C61)},
- {0x3FFE, LIT64(0xB11FD3B80B11FD3C)},
- {0x3FFD, LIT64(0xBC952AFEEA3D13E1)},
- {0x3FFE, LIT64(0xAF3ADDC680AF3ADE)},
- {0x3FFD, LIT64(0xC2168ED0F458BA4A)},
- {0x3FFE, LIT64(0xAD602B580AD602B6)},
- {0x3FFD, LIT64(0xC788F439B3163BF1)},
- {0x3FFE, LIT64(0xAB8F69E28359CD11)},
- {0x3FFD, LIT64(0xCCECAC08BF04565D)},
- {0x3FFE, LIT64(0xA9C84A47A07F5638)},
- {0x3FFD, LIT64(0xD24204872DD85160)},
- {0x3FFE, LIT64(0xA80A80A80A80A80B)},
- {0x3FFD, LIT64(0xD78949923BC3588A)},
- {0x3FFE, LIT64(0xA655C4392D7B73A8)},
- {0x3FFD, LIT64(0xDCC2C4B49887DACC)},
- {0x3FFE, LIT64(0xA4A9CF1D96833751)},
- {0x3FFD, LIT64(0xE1EEBD3E6D6A6B9E)},
- {0x3FFE, LIT64(0xA3065E3FAE7CD0E0)},
- {0x3FFD, LIT64(0xE70D785C2F9F5BDC)},
- {0x3FFE, LIT64(0xA16B312EA8FC377D)},
- {0x3FFD, LIT64(0xEC1F392C5179F283)},
- {0x3FFE, LIT64(0x9FD809FD809FD80A)},
- {0x3FFD, LIT64(0xF12440D3E36130E6)},
- {0x3FFE, LIT64(0x9E4CAD23DD5F3A20)},
- {0x3FFD, LIT64(0xF61CCE92346600BB)},
- {0x3FFE, LIT64(0x9CC8E160C3FB19B9)},
- {0x3FFD, LIT64(0xFB091FD38145630A)},
- {0x3FFE, LIT64(0x9B4C6F9EF03A3CAA)},
- {0x3FFD, LIT64(0xFFE97042BFA4C2AD)},
- {0x3FFE, LIT64(0x99D722DABDE58F06)},
- {0x3FFE, LIT64(0x825EFCED49369330)},
- {0x3FFE, LIT64(0x9868C809868C8098)},
- {0x3FFE, LIT64(0x84C37A7AB9A905C9)},
- {0x3FFE, LIT64(0x97012E025C04B809)},
- {0x3FFE, LIT64(0x87224C2E8E645FB7)},
- {0x3FFE, LIT64(0x95A02568095A0257)},
- {0x3FFE, LIT64(0x897B8CAC9F7DE298)},
- {0x3FFE, LIT64(0x9445809445809446)},
- {0x3FFE, LIT64(0x8BCF55DEC4CD05FE)},
- {0x3FFE, LIT64(0x92F113840497889C)},
- {0x3FFE, LIT64(0x8E1DC0FB89E125E5)},
- {0x3FFE, LIT64(0x91A2B3C4D5E6F809)},
- {0x3FFE, LIT64(0x9066E68C955B6C9B)},
- {0x3FFE, LIT64(0x905A38633E06C43B)},
- {0x3FFE, LIT64(0x92AADE74C7BE59E0)},
- {0x3FFE, LIT64(0x8F1779D9FDC3A219)},
- {0x3FFE, LIT64(0x94E9BFF615845643)},
- {0x3FFE, LIT64(0x8DDA520237694809)},
- {0x3FFE, LIT64(0x9723A1B720134203)},
- {0x3FFE, LIT64(0x8CA29C046514E023)},
- {0x3FFE, LIT64(0x995899C890EB8990)},
- {0x3FFE, LIT64(0x8B70344A139BC75A)},
- {0x3FFE, LIT64(0x9B88BDAA3A3DAE2F)},
- {0x3FFE, LIT64(0x8A42F8705669DB46)},
- {0x3FFE, LIT64(0x9DB4224FFFE1157C)},
- {0x3FFE, LIT64(0x891AC73AE9819B50)},
- {0x3FFE, LIT64(0x9FDADC268B7A12DA)},
- {0x3FFE, LIT64(0x87F78087F78087F8)},
- {0x3FFE, LIT64(0xA1FCFF17CE733BD4)},
- {0x3FFE, LIT64(0x86D905447A34ACC6)},
- {0x3FFE, LIT64(0xA41A9E8F5446FB9F)},
- {0x3FFE, LIT64(0x85BF37612CEE3C9B)},
- {0x3FFE, LIT64(0xA633CD7E6771CD8B)},
- {0x3FFE, LIT64(0x84A9F9C8084A9F9D)},
- {0x3FFE, LIT64(0xA8489E600B435A5E)},
- {0x3FFE, LIT64(0x839930523FBE3368)},
- {0x3FFE, LIT64(0xAA59233CCCA4BD49)},
- {0x3FFE, LIT64(0x828CBFBEB9A020A3)},
- {0x3FFE, LIT64(0xAC656DAE6BCC4985)},
- {0x3FFE, LIT64(0x81848DA8FAF0D277)},
- {0x3FFE, LIT64(0xAE6D8EE360BB2468)},
- {0x3FFE, LIT64(0x8080808080808081)},
- {0x3FFE, LIT64(0xB07197A23C46C654)}
+ {0x3FFE, LIT64(0xFE03F80FE03F80FE)},
+ {0x3FF7, LIT64(0xFF015358833C47E2)},
+ {0x3FFE, LIT64(0xFA232CF252138AC0)},
+ {0x3FF9, LIT64(0xBDC8D83EAD88D549)},
+ {0x3FFE, LIT64(0xF6603D980F6603DA)},
+ {0x3FFA, LIT64(0x9CF43DCFF5EAFD48)},
+ {0x3FFE, LIT64(0xF2B9D6480F2B9D65)},
+ {0x3FFA, LIT64(0xDA16EB88CB8DF614)},
+ {0x3FFE, LIT64(0xEF2EB71FC4345238)},
+ {0x3FFB, LIT64(0x8B29B7751BD70743)},
+ {0x3FFE, LIT64(0xEBBDB2A5C1619C8C)},
+ {0x3FFB, LIT64(0xA8D839F830C1FB49)},
+ {0x3FFE, LIT64(0xE865AC7B7603A197)},
+ {0x3FFB, LIT64(0xC61A2EB18CD907AD)},
+ {0x3FFE, LIT64(0xE525982AF70C880E)},
+ {0x3FFB, LIT64(0xE2F2A47ADE3A18AF)},
+ {0x3FFE, LIT64(0xE1FC780E1FC780E2)},
+ {0x3FFB, LIT64(0xFF64898EDF55D551)},
+ {0x3FFE, LIT64(0xDEE95C4CA037BA57)},
+ {0x3FFC, LIT64(0x8DB956A97B3D0148)},
+ {0x3FFE, LIT64(0xDBEB61EED19C5958)},
+ {0x3FFC, LIT64(0x9B8FE100F47BA1DE)},
+ {0x3FFE, LIT64(0xD901B2036406C80E)},
+ {0x3FFC, LIT64(0xA9372F1D0DA1BD17)},
+ {0x3FFE, LIT64(0xD62B80D62B80D62C)},
+ {0x3FFC, LIT64(0xB6B07F38CE90E46B)},
+ {0x3FFE, LIT64(0xD3680D3680D3680D)},
+ {0x3FFC, LIT64(0xC3FD032906488481)},
+ {0x3FFE, LIT64(0xD0B69FCBD2580D0B)},
+ {0x3FFC, LIT64(0xD11DE0FF15AB18CA)},
+ {0x3FFE, LIT64(0xCE168A7725080CE1)},
+ {0x3FFC, LIT64(0xDE1433A16C66B150)},
+ {0x3FFE, LIT64(0xCB8727C065C393E0)},
+ {0x3FFC, LIT64(0xEAE10B5A7DDC8ADD)},
+ {0x3FFE, LIT64(0xC907DA4E871146AD)},
+ {0x3FFC, LIT64(0xF7856E5EE2C9B291)},
+ {0x3FFE, LIT64(0xC6980C6980C6980C)},
+ {0x3FFD, LIT64(0x82012CA5A68206D7)},
+ {0x3FFE, LIT64(0xC4372F855D824CA6)},
+ {0x3FFD, LIT64(0x882C5FCD7256A8C5)},
+ {0x3FFE, LIT64(0xC1E4BBD595F6E947)},
+ {0x3FFD, LIT64(0x8E44C60B4CCFD7DE)},
+ {0x3FFE, LIT64(0xBFA02FE80BFA02FF)},
+ {0x3FFD, LIT64(0x944AD09EF4351AF6)},
+ {0x3FFE, LIT64(0xBD69104707661AA3)},
+ {0x3FFD, LIT64(0x9A3EECD4C3EAA6B2)},
+ {0x3FFE, LIT64(0xBB3EE721A54D880C)},
+ {0x3FFD, LIT64(0xA0218434353F1DE8)},
+ {0x3FFE, LIT64(0xB92143FA36F5E02E)},
+ {0x3FFD, LIT64(0xA5F2FCABBBC506DA)},
+ {0x3FFE, LIT64(0xB70FBB5A19BE3659)},
+ {0x3FFD, LIT64(0xABB3B8BA2AD362A5)},
+ {0x3FFE, LIT64(0xB509E68A9B94821F)},
+ {0x3FFD, LIT64(0xB1641795CE3CA97B)},
+ {0x3FFE, LIT64(0xB30F63528917C80B)},
+ {0x3FFD, LIT64(0xB70475515D0F1C61)},
+ {0x3FFE, LIT64(0xB11FD3B80B11FD3C)},
+ {0x3FFD, LIT64(0xBC952AFEEA3D13E1)},
+ {0x3FFE, LIT64(0xAF3ADDC680AF3ADE)},
+ {0x3FFD, LIT64(0xC2168ED0F458BA4A)},
+ {0x3FFE, LIT64(0xAD602B580AD602B6)},
+ {0x3FFD, LIT64(0xC788F439B3163BF1)},
+ {0x3FFE, LIT64(0xAB8F69E28359CD11)},
+ {0x3FFD, LIT64(0xCCECAC08BF04565D)},
+ {0x3FFE, LIT64(0xA9C84A47A07F5638)},
+ {0x3FFD, LIT64(0xD24204872DD85160)},
+ {0x3FFE, LIT64(0xA80A80A80A80A80B)},
+ {0x3FFD, LIT64(0xD78949923BC3588A)},
+ {0x3FFE, LIT64(0xA655C4392D7B73A8)},
+ {0x3FFD, LIT64(0xDCC2C4B49887DACC)},
+ {0x3FFE, LIT64(0xA4A9CF1D96833751)},
+ {0x3FFD, LIT64(0xE1EEBD3E6D6A6B9E)},
+ {0x3FFE, LIT64(0xA3065E3FAE7CD0E0)},
+ {0x3FFD, LIT64(0xE70D785C2F9F5BDC)},
+ {0x3FFE, LIT64(0xA16B312EA8FC377D)},
+ {0x3FFD, LIT64(0xEC1F392C5179F283)},
+ {0x3FFE, LIT64(0x9FD809FD809FD80A)},
+ {0x3FFD, LIT64(0xF12440D3E36130E6)},
+ {0x3FFE, LIT64(0x9E4CAD23DD5F3A20)},
+ {0x3FFD, LIT64(0xF61CCE92346600BB)},
+ {0x3FFE, LIT64(0x9CC8E160C3FB19B9)},
+ {0x3FFD, LIT64(0xFB091FD38145630A)},
+ {0x3FFE, LIT64(0x9B4C6F9EF03A3CAA)},
+ {0x3FFD, LIT64(0xFFE97042BFA4C2AD)},
+ {0x3FFE, LIT64(0x99D722DABDE58F06)},
+ {0x3FFE, LIT64(0x825EFCED49369330)},
+ {0x3FFE, LIT64(0x9868C809868C8098)},
+ {0x3FFE, LIT64(0x84C37A7AB9A905C9)},
+ {0x3FFE, LIT64(0x97012E025C04B809)},
+ {0x3FFE, LIT64(0x87224C2E8E645FB7)},
+ {0x3FFE, LIT64(0x95A02568095A0257)},
+ {0x3FFE, LIT64(0x897B8CAC9F7DE298)},
+ {0x3FFE, LIT64(0x9445809445809446)},
+ {0x3FFE, LIT64(0x8BCF55DEC4CD05FE)},
+ {0x3FFE, LIT64(0x92F113840497889C)},
+ {0x3FFE, LIT64(0x8E1DC0FB89E125E5)},
+ {0x3FFE, LIT64(0x91A2B3C4D5E6F809)},
+ {0x3FFE, LIT64(0x9066E68C955B6C9B)},
+ {0x3FFE, LIT64(0x905A38633E06C43B)},
+ {0x3FFE, LIT64(0x92AADE74C7BE59E0)},
+ {0x3FFE, LIT64(0x8F1779D9FDC3A219)},
+ {0x3FFE, LIT64(0x94E9BFF615845643)},
+ {0x3FFE, LIT64(0x8DDA520237694809)},
+ {0x3FFE, LIT64(0x9723A1B720134203)},
+ {0x3FFE, LIT64(0x8CA29C046514E023)},
+ {0x3FFE, LIT64(0x995899C890EB8990)},
+ {0x3FFE, LIT64(0x8B70344A139BC75A)},
+ {0x3FFE, LIT64(0x9B88BDAA3A3DAE2F)},
+ {0x3FFE, LIT64(0x8A42F8705669DB46)},
+ {0x3FFE, LIT64(0x9DB4224FFFE1157C)},
+ {0x3FFE, LIT64(0x891AC73AE9819B50)},
+ {0x3FFE, LIT64(0x9FDADC268B7A12DA)},
+ {0x3FFE, LIT64(0x87F78087F78087F8)},
+ {0x3FFE, LIT64(0xA1FCFF17CE733BD4)},
+ {0x3FFE, LIT64(0x86D905447A34ACC6)},
+ {0x3FFE, LIT64(0xA41A9E8F5446FB9F)},
+ {0x3FFE, LIT64(0x85BF37612CEE3C9B)},
+ {0x3FFE, LIT64(0xA633CD7E6771CD8B)},
+ {0x3FFE, LIT64(0x84A9F9C8084A9F9D)},
+ {0x3FFE, LIT64(0xA8489E600B435A5E)},
+ {0x3FFE, LIT64(0x839930523FBE3368)},
+ {0x3FFE, LIT64(0xAA59233CCCA4BD49)},
+ {0x3FFE, LIT64(0x828CBFBEB9A020A3)},
+ {0x3FFE, LIT64(0xAC656DAE6BCC4985)},
+ {0x3FFE, LIT64(0x81848DA8FAF0D277)},
+ {0x3FFE, LIT64(0xAE6D8EE360BB2468)},
+ {0x3FFE, LIT64(0x8080808080808081)},
+ {0x3FFE, LIT64(0xB07197A23C46C654)}
};
static const floatx80 pi_tbl[65] = {
- {0xC004, LIT64(0xC90FDAA22168C235)},
- {0xC004, LIT64(0xC2C75BCD105D7C23)},
- {0xC004, LIT64(0xBC7EDCF7FF523611)},
- {0xC004, LIT64(0xB6365E22EE46F000)},
- {0xC004, LIT64(0xAFEDDF4DDD3BA9EE)},
- {0xC004, LIT64(0xA9A56078CC3063DD)},
- {0xC004, LIT64(0xA35CE1A3BB251DCB)},
- {0xC004, LIT64(0x9D1462CEAA19D7B9)},
- {0xC004, LIT64(0x96CBE3F9990E91A8)},
- {0xC004, LIT64(0x9083652488034B96)},
- {0xC004, LIT64(0x8A3AE64F76F80584)},
- {0xC004, LIT64(0x83F2677A65ECBF73)},
- {0xC003, LIT64(0xFB53D14AA9C2F2C2)},
- {0xC003, LIT64(0xEEC2D3A087AC669F)},
- {0xC003, LIT64(0xE231D5F66595DA7B)},
- {0xC003, LIT64(0xD5A0D84C437F4E58)},
- {0xC003, LIT64(0xC90FDAA22168C235)},
- {0xC003, LIT64(0xBC7EDCF7FF523611)},
- {0xC003, LIT64(0xAFEDDF4DDD3BA9EE)},
- {0xC003, LIT64(0xA35CE1A3BB251DCB)},
- {0xC003, LIT64(0x96CBE3F9990E91A8)},
- {0xC003, LIT64(0x8A3AE64F76F80584)},
- {0xC002, LIT64(0xFB53D14AA9C2F2C2)},
- {0xC002, LIT64(0xE231D5F66595DA7B)},
- {0xC002, LIT64(0xC90FDAA22168C235)},
- {0xC002, LIT64(0xAFEDDF4DDD3BA9EE)},
- {0xC002, LIT64(0x96CBE3F9990E91A8)},
- {0xC001, LIT64(0xFB53D14AA9C2F2C2)},
- {0xC001, LIT64(0xC90FDAA22168C235)},
- {0xC001, LIT64(0x96CBE3F9990E91A8)},
- {0xC000, LIT64(0xC90FDAA22168C235)},
- {0xBFFF, LIT64(0xC90FDAA22168C235)},
- {0x0000, LIT64(0x0000000000000000)},
- {0x3FFF, LIT64(0xC90FDAA22168C235)},
- {0x4000, LIT64(0xC90FDAA22168C235)},
- {0x4001, LIT64(0x96CBE3F9990E91A8)},
- {0x4001, LIT64(0xC90FDAA22168C235)},
- {0x4001, LIT64(0xFB53D14AA9C2F2C2)},
- {0x4002, LIT64(0x96CBE3F9990E91A8)},
- {0x4002, LIT64(0xAFEDDF4DDD3BA9EE)},
- {0x4002, LIT64(0xC90FDAA22168C235)},
- {0x4002, LIT64(0xE231D5F66595DA7B)},
- {0x4002, LIT64(0xFB53D14AA9C2F2C2)},
- {0x4003, LIT64(0x8A3AE64F76F80584)},
- {0x4003, LIT64(0x96CBE3F9990E91A8)},
- {0x4003, LIT64(0xA35CE1A3BB251DCB)},
- {0x4003, LIT64(0xAFEDDF4DDD3BA9EE)},
- {0x4003, LIT64(0xBC7EDCF7FF523611)},
- {0x4003, LIT64(0xC90FDAA22168C235)},
- {0x4003, LIT64(0xD5A0D84C437F4E58)},
- {0x4003, LIT64(0xE231D5F66595DA7B)},
- {0x4003, LIT64(0xEEC2D3A087AC669F)},
- {0x4003, LIT64(0xFB53D14AA9C2F2C2)},
- {0x4004, LIT64(0x83F2677A65ECBF73)},
- {0x4004, LIT64(0x8A3AE64F76F80584)},
- {0x4004, LIT64(0x9083652488034B96)},
- {0x4004, LIT64(0x96CBE3F9990E91A8)},
- {0x4004, LIT64(0x9D1462CEAA19D7B9)},
- {0x4004, LIT64(0xA35CE1A3BB251DCB)},
- {0x4004, LIT64(0xA9A56078CC3063DD)},
- {0x4004, LIT64(0xAFEDDF4DDD3BA9EE)},
- {0x4004, LIT64(0xB6365E22EE46F000)},
- {0x4004, LIT64(0xBC7EDCF7FF523611)},
- {0x4004, LIT64(0xC2C75BCD105D7C23)},
- {0x4004, LIT64(0xC90FDAA22168C235)}
+ {0xC004, LIT64(0xC90FDAA22168C235)},
+ {0xC004, LIT64(0xC2C75BCD105D7C23)},
+ {0xC004, LIT64(0xBC7EDCF7FF523611)},
+ {0xC004, LIT64(0xB6365E22EE46F000)},
+ {0xC004, LIT64(0xAFEDDF4DDD3BA9EE)},
+ {0xC004, LIT64(0xA9A56078CC3063DD)},
+ {0xC004, LIT64(0xA35CE1A3BB251DCB)},
+ {0xC004, LIT64(0x9D1462CEAA19D7B9)},
+ {0xC004, LIT64(0x96CBE3F9990E91A8)},
+ {0xC004, LIT64(0x9083652488034B96)},
+ {0xC004, LIT64(0x8A3AE64F76F80584)},
+ {0xC004, LIT64(0x83F2677A65ECBF73)},
+ {0xC003, LIT64(0xFB53D14AA9C2F2C2)},
+ {0xC003, LIT64(0xEEC2D3A087AC669F)},
+ {0xC003, LIT64(0xE231D5F66595DA7B)},
+ {0xC003, LIT64(0xD5A0D84C437F4E58)},
+ {0xC003, LIT64(0xC90FDAA22168C235)},
+ {0xC003, LIT64(0xBC7EDCF7FF523611)},
+ {0xC003, LIT64(0xAFEDDF4DDD3BA9EE)},
+ {0xC003, LIT64(0xA35CE1A3BB251DCB)},
+ {0xC003, LIT64(0x96CBE3F9990E91A8)},
+ {0xC003, LIT64(0x8A3AE64F76F80584)},
+ {0xC002, LIT64(0xFB53D14AA9C2F2C2)},
+ {0xC002, LIT64(0xE231D5F66595DA7B)},
+ {0xC002, LIT64(0xC90FDAA22168C235)},
+ {0xC002, LIT64(0xAFEDDF4DDD3BA9EE)},
+ {0xC002, LIT64(0x96CBE3F9990E91A8)},
+ {0xC001, LIT64(0xFB53D14AA9C2F2C2)},
+ {0xC001, LIT64(0xC90FDAA22168C235)},
+ {0xC001, LIT64(0x96CBE3F9990E91A8)},
+ {0xC000, LIT64(0xC90FDAA22168C235)},
+ {0xBFFF, LIT64(0xC90FDAA22168C235)},
+ {0x0000, LIT64(0x0000000000000000)},
+ {0x3FFF, LIT64(0xC90FDAA22168C235)},
+ {0x4000, LIT64(0xC90FDAA22168C235)},
+ {0x4001, LIT64(0x96CBE3F9990E91A8)},
+ {0x4001, LIT64(0xC90FDAA22168C235)},
+ {0x4001, LIT64(0xFB53D14AA9C2F2C2)},
+ {0x4002, LIT64(0x96CBE3F9990E91A8)},
+ {0x4002, LIT64(0xAFEDDF4DDD3BA9EE)},
+ {0x4002, LIT64(0xC90FDAA22168C235)},
+ {0x4002, LIT64(0xE231D5F66595DA7B)},
+ {0x4002, LIT64(0xFB53D14AA9C2F2C2)},
+ {0x4003, LIT64(0x8A3AE64F76F80584)},
+ {0x4003, LIT64(0x96CBE3F9990E91A8)},
+ {0x4003, LIT64(0xA35CE1A3BB251DCB)},
+ {0x4003, LIT64(0xAFEDDF4DDD3BA9EE)},
+ {0x4003, LIT64(0xBC7EDCF7FF523611)},
+ {0x4003, LIT64(0xC90FDAA22168C235)},
+ {0x4003, LIT64(0xD5A0D84C437F4E58)},
+ {0x4003, LIT64(0xE231D5F66595DA7B)},
+ {0x4003, LIT64(0xEEC2D3A087AC669F)},
+ {0x4003, LIT64(0xFB53D14AA9C2F2C2)},
+ {0x4004, LIT64(0x83F2677A65ECBF73)},
+ {0x4004, LIT64(0x8A3AE64F76F80584)},
+ {0x4004, LIT64(0x9083652488034B96)},
+ {0x4004, LIT64(0x96CBE3F9990E91A8)},
+ {0x4004, LIT64(0x9D1462CEAA19D7B9)},
+ {0x4004, LIT64(0xA35CE1A3BB251DCB)},
+ {0x4004, LIT64(0xA9A56078CC3063DD)},
+ {0x4004, LIT64(0xAFEDDF4DDD3BA9EE)},
+ {0x4004, LIT64(0xB6365E22EE46F000)},
+ {0x4004, LIT64(0xBC7EDCF7FF523611)},
+ {0x4004, LIT64(0xC2C75BCD105D7C23)},
+ {0x4004, LIT64(0xC90FDAA22168C235)}
};
static const float32 pi_tbl2[65] = {
- 0x21800000, 0xA0D00000, 0xA1E80000, 0x21480000,
- 0xA1200000, 0x21FC0000, 0x21100000, 0xA1580000,
- 0x21E00000, 0x20B00000, 0xA1880000, 0x21C40000,
- 0x20000000, 0x21380000, 0xA1300000, 0x9FC00000,
- 0x21000000, 0xA1680000, 0xA0A00000, 0x20900000,
- 0x21600000, 0xA1080000, 0x1F800000, 0xA0B00000,
- 0x20800000, 0xA0200000, 0x20E00000, 0x1F000000,
- 0x20000000, 0x20600000, 0x1F800000, 0x1F000000,
- 0x00000000,
- 0x9F000000, 0x9F800000, 0xA0600000, 0xA0000000,
- 0x9F000000, 0xA0E00000, 0x20200000, 0xA0800000,
- 0x20B00000, 0x9F800000, 0x21080000, 0xA1600000,
- 0xA0900000, 0x20A00000, 0x21680000, 0xA1000000,
- 0x1FC00000, 0x21300000, 0xA1380000, 0xA0000000,
- 0xA1C40000, 0x21880000, 0xA0B00000, 0xA1E00000,
- 0x21580000, 0xA1100000, 0xA1FC0000, 0x21200000,
- 0xA1480000, 0x21E80000, 0x20D00000, 0xA1800000
+ 0x21800000, 0xA0D00000, 0xA1E80000, 0x21480000,
+ 0xA1200000, 0x21FC0000, 0x21100000, 0xA1580000,
+ 0x21E00000, 0x20B00000, 0xA1880000, 0x21C40000,
+ 0x20000000, 0x21380000, 0xA1300000, 0x9FC00000,
+ 0x21000000, 0xA1680000, 0xA0A00000, 0x20900000,
+ 0x21600000, 0xA1080000, 0x1F800000, 0xA0B00000,
+ 0x20800000, 0xA0200000, 0x20E00000, 0x1F000000,
+ 0x20000000, 0x20600000, 0x1F800000, 0x1F000000,
+ 0x00000000,
+ 0x9F000000, 0x9F800000, 0xA0600000, 0xA0000000,
+ 0x9F000000, 0xA0E00000, 0x20200000, 0xA0800000,
+ 0x20B00000, 0x9F800000, 0x21080000, 0xA1600000,
+ 0xA0900000, 0x20A00000, 0x21680000, 0xA1000000,
+ 0x1FC00000, 0x21300000, 0xA1380000, 0xA0000000,
+ 0xA1C40000, 0x21880000, 0xA0B00000, 0xA1E00000,
+ 0x21580000, 0xA1100000, 0xA1FC0000, 0x21200000,
+ 0xA1480000, 0x21E80000, 0x20D00000, 0xA1800000
};
projects / francis / winuae.git / commitdiff