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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-06-07 05:48:48 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-06-07 05:48:48 +0000 |
commit | ef24de24a82fe681581cc130f342363c47c0969a (patch) | |
tree | 0d494f7e1a38b95c92426f58fe6eaa877303a86c /vendor/libm-0.1.4/src/math/j0f.rs | |
parent | Releasing progress-linux version 1.74.1+dfsg1-1~progress7.99u1. (diff) | |
download | rustc-ef24de24a82fe681581cc130f342363c47c0969a.tar.xz rustc-ef24de24a82fe681581cc130f342363c47c0969a.zip |
Merging upstream version 1.75.0+dfsg1.
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'vendor/libm-0.1.4/src/math/j0f.rs')
-rw-r--r-- | vendor/libm-0.1.4/src/math/j0f.rs | 359 |
1 files changed, 0 insertions, 359 deletions
diff --git a/vendor/libm-0.1.4/src/math/j0f.rs b/vendor/libm-0.1.4/src/math/j0f.rs deleted file mode 100644 index 91c03dbbc..000000000 --- a/vendor/libm-0.1.4/src/math/j0f.rs +++ /dev/null @@ -1,359 +0,0 @@ -/* origin: FreeBSD /usr/src/lib/msun/src/e_j0f.c */ -/* - * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. - */ -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ - -use super::{cosf, fabsf, logf, sinf, sqrtf}; - -const INVSQRTPI: f32 = 5.6418961287e-01; /* 0x3f106ebb */ -const TPI: f32 = 6.3661974669e-01; /* 0x3f22f983 */ - -fn common(ix: u32, x: f32, y0: bool) -> f32 { - let z: f32; - let s: f32; - let mut c: f32; - let mut ss: f32; - let mut cc: f32; - /* - * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) - * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) - */ - s = sinf(x); - c = cosf(x); - if y0 { - c = -c; - } - cc = s + c; - if ix < 0x7f000000 { - ss = s - c; - z = -cosf(2.0 * x); - if s * c < 0.0 { - cc = z / ss; - } else { - ss = z / cc; - } - if ix < 0x58800000 { - if y0 { - ss = -ss; - } - cc = pzerof(x) * cc - qzerof(x) * ss; - } - } - return INVSQRTPI * cc / sqrtf(x); -} - -/* R0/S0 on [0, 2.00] */ -const R02: f32 = 1.5625000000e-02; /* 0x3c800000 */ -const R03: f32 = -1.8997929874e-04; /* 0xb947352e */ -const R04: f32 = 1.8295404516e-06; /* 0x35f58e88 */ -const R05: f32 = -4.6183270541e-09; /* 0xb19eaf3c */ -const S01: f32 = 1.5619102865e-02; /* 0x3c7fe744 */ -const S02: f32 = 1.1692678527e-04; /* 0x38f53697 */ -const S03: f32 = 5.1354652442e-07; /* 0x3509daa6 */ -const S04: f32 = 1.1661400734e-09; /* 0x30a045e8 */ - -pub fn j0f(mut x: f32) -> f32 { - let z: f32; - let r: f32; - let s: f32; - let mut ix: u32; - - ix = x.to_bits(); - ix &= 0x7fffffff; - if ix >= 0x7f800000 { - return 1.0 / (x * x); - } - x = fabsf(x); - - if ix >= 0x40000000 { - /* |x| >= 2 */ - /* large ulp error near zeros */ - return common(ix, x, false); - } - if ix >= 0x3a000000 { - /* |x| >= 2**-11 */ - /* up to 4ulp error near 2 */ - z = x * x; - r = z * (R02 + z * (R03 + z * (R04 + z * R05))); - s = 1.0 + z * (S01 + z * (S02 + z * (S03 + z * S04))); - return (1.0 + x / 2.0) * (1.0 - x / 2.0) + z * (r / s); - } - if ix >= 0x21800000 { - /* |x| >= 2**-60 */ - x = 0.25 * x * x; - } - return 1.0 - x; -} - -const U00: f32 = -7.3804296553e-02; /* 0xbd9726b5 */ -const U01: f32 = 1.7666645348e-01; /* 0x3e34e80d */ -const U02: f32 = -1.3818567619e-02; /* 0xbc626746 */ -const U03: f32 = 3.4745343146e-04; /* 0x39b62a69 */ -const U04: f32 = -3.8140706238e-06; /* 0xb67ff53c */ -const U05: f32 = 1.9559013964e-08; /* 0x32a802ba */ -const U06: f32 = -3.9820518410e-11; /* 0xae2f21eb */ -const V01: f32 = 1.2730483897e-02; /* 0x3c509385 */ -const V02: f32 = 7.6006865129e-05; /* 0x389f65e0 */ -const V03: f32 = 2.5915085189e-07; /* 0x348b216c */ -const V04: f32 = 4.4111031494e-10; /* 0x2ff280c2 */ - -pub fn y0f(x: f32) -> f32 { - let z: f32; - let u: f32; - let v: f32; - let ix: u32; - - ix = x.to_bits(); - if (ix & 0x7fffffff) == 0 { - return -1.0 / 0.0; - } - if (ix >> 31) != 0 { - return 0.0 / 0.0; - } - if ix >= 0x7f800000 { - return 1.0 / x; - } - if ix >= 0x40000000 { - /* |x| >= 2.0 */ - /* large ulp error near zeros */ - return common(ix, x, true); - } - if ix >= 0x39000000 { - /* x >= 2**-13 */ - /* large ulp error at x ~= 0.89 */ - z = x * x; - u = U00 + z * (U01 + z * (U02 + z * (U03 + z * (U04 + z * (U05 + z * U06))))); - v = 1.0 + z * (V01 + z * (V02 + z * (V03 + z * V04))); - return u / v + TPI * (j0f(x) * logf(x)); - } - return U00 + TPI * logf(x); -} - -/* The asymptotic expansions of pzero is - * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x. - * For x >= 2, We approximate pzero by - * pzero(x) = 1 + (R/S) - * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10 - * S = 1 + pS0*s^2 + ... + pS4*s^10 - * and - * | pzero(x)-1-R/S | <= 2 ** ( -60.26) - */ -const PR8: [f32; 6] = [ - /* for x in [inf, 8]=1/[0,0.125] */ - 0.0000000000e+00, /* 0x00000000 */ - -7.0312500000e-02, /* 0xbd900000 */ - -8.0816707611e+00, /* 0xc1014e86 */ - -2.5706311035e+02, /* 0xc3808814 */ - -2.4852163086e+03, /* 0xc51b5376 */ - -5.2530439453e+03, /* 0xc5a4285a */ -]; -const PS8: [f32; 5] = [ - 1.1653436279e+02, /* 0x42e91198 */ - 3.8337448730e+03, /* 0x456f9beb */ - 4.0597855469e+04, /* 0x471e95db */ - 1.1675296875e+05, /* 0x47e4087c */ - 4.7627726562e+04, /* 0x473a0bba */ -]; -const PR5: [f32; 6] = [ - /* for x in [8,4.5454]=1/[0.125,0.22001] */ - -1.1412546255e-11, /* 0xad48c58a */ - -7.0312492549e-02, /* 0xbd8fffff */ - -4.1596107483e+00, /* 0xc0851b88 */ - -6.7674766541e+01, /* 0xc287597b */ - -3.3123129272e+02, /* 0xc3a59d9b */ - -3.4643338013e+02, /* 0xc3ad3779 */ -]; -const PS5: [f32; 5] = [ - 6.0753936768e+01, /* 0x42730408 */ - 1.0512523193e+03, /* 0x44836813 */ - 5.9789707031e+03, /* 0x45bad7c4 */ - 9.6254453125e+03, /* 0x461665c8 */ - 2.4060581055e+03, /* 0x451660ee */ -]; - -const PR3: [f32; 6] = [ - /* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ - -2.5470459075e-09, /* 0xb12f081b */ - -7.0311963558e-02, /* 0xbd8fffb8 */ - -2.4090321064e+00, /* 0xc01a2d95 */ - -2.1965976715e+01, /* 0xc1afba52 */ - -5.8079170227e+01, /* 0xc2685112 */ - -3.1447946548e+01, /* 0xc1fb9565 */ -]; -const PS3: [f32; 5] = [ - 3.5856033325e+01, /* 0x420f6c94 */ - 3.6151397705e+02, /* 0x43b4c1ca */ - 1.1936077881e+03, /* 0x44953373 */ - 1.1279968262e+03, /* 0x448cffe6 */ - 1.7358093262e+02, /* 0x432d94b8 */ -]; - -const PR2: [f32; 6] = [ - /* for x in [2.8570,2]=1/[0.3499,0.5] */ - -8.8753431271e-08, /* 0xb3be98b7 */ - -7.0303097367e-02, /* 0xbd8ffb12 */ - -1.4507384300e+00, /* 0xbfb9b1cc */ - -7.6356959343e+00, /* 0xc0f4579f */ - -1.1193166733e+01, /* 0xc1331736 */ - -3.2336456776e+00, /* 0xc04ef40d */ -]; -const PS2: [f32; 5] = [ - 2.2220300674e+01, /* 0x41b1c32d */ - 1.3620678711e+02, /* 0x430834f0 */ - 2.7047027588e+02, /* 0x43873c32 */ - 1.5387539673e+02, /* 0x4319e01a */ - 1.4657617569e+01, /* 0x416a859a */ -]; - -fn pzerof(x: f32) -> f32 { - let p: &[f32; 6]; - let q: &[f32; 5]; - let z: f32; - let r: f32; - let s: f32; - let mut ix: u32; - - ix = x.to_bits(); - ix &= 0x7fffffff; - if ix >= 0x41000000 { - p = &PR8; - q = &PS8; - } else if ix >= 0x409173eb { - p = &PR5; - q = &PS5; - } else if ix >= 0x4036d917 { - p = &PR3; - q = &PS3; - } else - /*ix >= 0x40000000*/ - { - p = &PR2; - q = &PS2; - } - z = 1.0 / (x * x); - r = p[0] + z * (p[1] + z * (p[2] + z * (p[3] + z * (p[4] + z * p[5])))); - s = 1.0 + z * (q[0] + z * (q[1] + z * (q[2] + z * (q[3] + z * q[4])))); - return 1.0 + r / s; -} - -/* For x >= 8, the asymptotic expansions of qzero is - * -1/8 s + 75/1024 s^3 - ..., where s = 1/x. - * We approximate pzero by - * qzero(x) = s*(-1.25 + (R/S)) - * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10 - * S = 1 + qS0*s^2 + ... + qS5*s^12 - * and - * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22) - */ -const QR8: [f32; 6] = [ - /* for x in [inf, 8]=1/[0,0.125] */ - 0.0000000000e+00, /* 0x00000000 */ - 7.3242187500e-02, /* 0x3d960000 */ - 1.1768206596e+01, /* 0x413c4a93 */ - 5.5767340088e+02, /* 0x440b6b19 */ - 8.8591972656e+03, /* 0x460a6cca */ - 3.7014625000e+04, /* 0x471096a0 */ -]; -const QS8: [f32; 6] = [ - 1.6377603149e+02, /* 0x4323c6aa */ - 8.0983447266e+03, /* 0x45fd12c2 */ - 1.4253829688e+05, /* 0x480b3293 */ - 8.0330925000e+05, /* 0x49441ed4 */ - 8.4050156250e+05, /* 0x494d3359 */ - -3.4389928125e+05, /* 0xc8a7eb69 */ -]; - -const QR5: [f32; 6] = [ - /* for x in [8,4.5454]=1/[0.125,0.22001] */ - 1.8408595828e-11, /* 0x2da1ec79 */ - 7.3242180049e-02, /* 0x3d95ffff */ - 5.8356351852e+00, /* 0x40babd86 */ - 1.3511157227e+02, /* 0x43071c90 */ - 1.0272437744e+03, /* 0x448067cd */ - 1.9899779053e+03, /* 0x44f8bf4b */ -]; -const QS5: [f32; 6] = [ - 8.2776611328e+01, /* 0x42a58da0 */ - 2.0778142090e+03, /* 0x4501dd07 */ - 1.8847289062e+04, /* 0x46933e94 */ - 5.6751113281e+04, /* 0x475daf1d */ - 3.5976753906e+04, /* 0x470c88c1 */ - -5.3543427734e+03, /* 0xc5a752be */ -]; - -const QR3: [f32; 6] = [ - /* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ - 4.3774099900e-09, /* 0x3196681b */ - 7.3241114616e-02, /* 0x3d95ff70 */ - 3.3442313671e+00, /* 0x405607e3 */ - 4.2621845245e+01, /* 0x422a7cc5 */ - 1.7080809021e+02, /* 0x432acedf */ - 1.6673394775e+02, /* 0x4326bbe4 */ -]; -const QS3: [f32; 6] = [ - 4.8758872986e+01, /* 0x42430916 */ - 7.0968920898e+02, /* 0x44316c1c */ - 3.7041481934e+03, /* 0x4567825f */ - 6.4604252930e+03, /* 0x45c9e367 */ - 2.5163337402e+03, /* 0x451d4557 */ - -1.4924745178e+02, /* 0xc3153f59 */ -]; - -const QR2: [f32; 6] = [ - /* for x in [2.8570,2]=1/[0.3499,0.5] */ - 1.5044444979e-07, /* 0x342189db */ - 7.3223426938e-02, /* 0x3d95f62a */ - 1.9981917143e+00, /* 0x3fffc4bf */ - 1.4495602608e+01, /* 0x4167edfd */ - 3.1666231155e+01, /* 0x41fd5471 */ - 1.6252708435e+01, /* 0x4182058c */ -]; -const QS2: [f32; 6] = [ - 3.0365585327e+01, /* 0x41f2ecb8 */ - 2.6934811401e+02, /* 0x4386ac8f */ - 8.4478375244e+02, /* 0x44533229 */ - 8.8293585205e+02, /* 0x445cbbe5 */ - 2.1266638184e+02, /* 0x4354aa98 */ - -5.3109550476e+00, /* 0xc0a9f358 */ -]; - -fn qzerof(x: f32) -> f32 { - let p: &[f32; 6]; - let q: &[f32; 6]; - let s: f32; - let r: f32; - let z: f32; - let mut ix: u32; - - ix = x.to_bits(); - ix &= 0x7fffffff; - if ix >= 0x41000000 { - p = &QR8; - q = &QS8; - } else if ix >= 0x409173eb { - p = &QR5; - q = &QS5; - } else if ix >= 0x4036d917 { - p = &QR3; - q = &QS3; - } else - /*ix >= 0x40000000*/ - { - p = &QR2; - q = &QS2; - } - z = 1.0 / (x * x); - r = p[0] + z * (p[1] + z * (p[2] + z * (p[3] + z * (p[4] + z * p[5])))); - s = 1.0 + z * (q[0] + z * (q[1] + z * (q[2] + z * (q[3] + z * (q[4] + z * q[5]))))); - return (-0.125 + r / s) / x; -} |