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Revert retabbing of net/http and tinymath (#1020)

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Jōshin 2023-12-16 23:59:11 -05:00 committed by GitHub
parent 3a8e01a77a
commit 2b315626f3
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19 changed files with 672 additions and 672 deletions
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78
libc/tinymath/atan2f.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -55,7 +55,7 @@ biased_exponent (float f)
if (UNLIKELY (ex == 0))
{
/* Subnormal case - we still need to get the exponent right for subnormal
numbers as division may take us back inside the normal range. */
numbers as division may take us back inside the normal range. */
return ex - __builtin_clz (fi << 9);
}
return ex;
@ -64,7 +64,7 @@ biased_exponent (float f)
/* Fast implementation of scalar atan2f. Largest observed error is
2.88ulps in [99.0, 101.0] x [99.0, 101.0]:
atan2f(0x1.9332d8p+6, 0x1.8cb6c4p+6) got 0x1.964646p-1
want 0x1.964640p-1. */
want 0x1.964640p-1. */
float
atan2f (float y, float x)
{
@ -96,15 +96,15 @@ atan2f (float y, float x)
if (UNLIKELY (iay == 0 || (exp_diff >= POLY_UFLOW_BOUND && m >= 2)))
{
switch (m)
{
case 0:
case 1:
return y; /* atan(+-0,+anything)=+-0. */
case 2:
return Pi; /* atan(+0,-anything) = pi. */
case 3:
return -Pi; /* atan(-0,-anything) =-pi. */
}
{
case 0:
case 1:
return y; /* atan(+-0,+anything)=+-0. */
case 2:
return Pi; /* atan(+0,-anything) = pi. */
case 3:
return -Pi; /* atan(-0,-anything) =-pi. */
}
}
/* Special case for (x, y) either on or very close to the y axis. Either x =
0, or x is tiny and y is huge (difference in exponents >=
@ -116,33 +116,33 @@ atan2f (float y, float x)
if (iax == 0x7f800000)
{
if (iay == 0x7f800000)
{
switch (m)
{
case 0:
return PiOver4; /* atan(+INF,+INF). */
case 1:
return -PiOver4; /* atan(-INF,+INF). */
case 2:
return 3.0f * PiOver4; /* atan(+INF,-INF). */
case 3:
return -3.0f * PiOver4; /* atan(-INF,-INF). */
}
}
{
switch (m)
{
case 0:
return PiOver4; /* atan(+INF,+INF). */
case 1:
return -PiOver4; /* atan(-INF,+INF). */
case 2:
return 3.0f * PiOver4; /* atan(+INF,-INF). */
case 3:
return -3.0f * PiOver4; /* atan(-INF,-INF). */
}
}
else
{
switch (m)
{
case 0:
return 0.0f; /* atan(+...,+INF). */
case 1:
return -0.0f; /* atan(-...,+INF). */
case 2:
return Pi; /* atan(+...,-INF). */
case 3:
return -Pi; /* atan(-...,-INF). */
}
}
{
switch (m)
{
case 0:
return 0.0f; /* atan(+...,+INF). */
case 1:
return -0.0f; /* atan(-...,+INF). */
case 2:
return Pi; /* atan(+...,-INF). */
case 3:
return -Pi; /* atan(-...,-INF). */
}
}
}
/* y is INF. */
if (iay == 0x7f800000)
@ -164,7 +164,7 @@ atan2f (float y, float x)
if (UNLIKELY (m < 2 && exp_diff >= POLY_UFLOW_BOUND))
{
/* If (x, y) is very close to x axis and x is positive, the polynomial
will underflow and evaluate to z. */
will underflow and evaluate to z. */
ret = z;
}
else

20
libc/tinymath/atan_data.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -35,12 +35,12 @@ asm(".include \"libc/disclaimer.inc\"");
const struct atan_poly_data __atan_poly_data = {
.poly = {/* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on
[2**-1022, 1.0]. See atan.sollya for details of how these were
generated. */
-0x1.5555555555555p-2, 0x1.99999999996c1p-3, -0x1.2492492478f88p-3,
0x1.c71c71bc3951cp-4, -0x1.745d160a7e368p-4, 0x1.3b139b6a88ba1p-4,
-0x1.11100ee084227p-4, 0x1.e1d0f9696f63bp-5, -0x1.aebfe7b418581p-5,
0x1.842dbe9b0d916p-5, -0x1.5d30140ae5e99p-5, 0x1.338e31eb2fbbcp-5,
-0x1.00e6eece7de8p-5, 0x1.860897b29e5efp-6, -0x1.0051381722a59p-6,
0x1.14e9dc19a4a4ep-7, -0x1.d0062b42fe3bfp-9, 0x1.17739e210171ap-10,
-0x1.ab24da7be7402p-13, 0x1.358851160a528p-16}};
[2**-1022, 1.0]. See atan.sollya for details of how these were
generated. */
-0x1.5555555555555p-2, 0x1.99999999996c1p-3, -0x1.2492492478f88p-3,
0x1.c71c71bc3951cp-4, -0x1.745d160a7e368p-4, 0x1.3b139b6a88ba1p-4,
-0x1.11100ee084227p-4, 0x1.e1d0f9696f63bp-5, -0x1.aebfe7b418581p-5,
0x1.842dbe9b0d916p-5, -0x1.5d30140ae5e99p-5, 0x1.338e31eb2fbbcp-5,
-0x1.00e6eece7de8p-5, 0x1.860897b29e5efp-6, -0x1.0051381722a59p-6,
0x1.14e9dc19a4a4ep-7, -0x1.d0062b42fe3bfp-9, 0x1.17739e210171ap-10,
-0x1.ab24da7be7402p-13, 0x1.358851160a528p-16}};

6
libc/tinymath/atanf_data.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -37,5 +37,5 @@ asm(".include \"libc/disclaimer.inc\"");
*/
const struct atanf_poly_data __atanf_poly_data = {
.poly = {/* See atanf.sollya for details of how these were generated. */
-0x1.55555p-2f, 0x1.99935ep-3f, -0x1.24051ep-3f, 0x1.bd7368p-4f,
-0x1.491f0ep-4f, 0x1.93a2c0p-5f, -0x1.4c3c60p-6f, 0x1.01fd88p-8f}};
-0x1.55555p-2f, 0x1.99935ep-3f, -0x1.24051ep-3f, 0x1.bd7368p-4f,
-0x1.491f0ep-4f, 0x1.93a2c0p-5f, -0x1.4c3c60p-6f, 0x1.01fd88p-8f}};

10
libc/tinymath/expm1f.c
View file

@ -81,11 +81,11 @@ expm1f(float x)
/* filter out huge and non-finite argument */
if(hx >= 0x4195b844) { /* if |x|>=27*ln2 */
if(hx >= 0x42b17218) { /* if |x|>=88.721... */
if(hx>0x7f800000)
if(hx>0x7f800000)
return x+x; /* NaN */
if(hx==0x7f800000)
return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
if(x > o_threshold) return huge*huge; /* overflow */
if(x > o_threshold) return huge*huge; /* overflow */
}
if(xsb!=0) { /* x < -27*ln2, return -1.0 with inexact */
if(x+tiny<(float)0.0) /* raise inexact */
@ -132,14 +132,14 @@ expm1f(float x)
else return one+(float)2.0*(x-e);
}
if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
y = one-(e-x);
y = one-(e-x);
if (k == 128) y = y*2.0F*0x1p127F;
else y = y*twopk;
return y-one;
return y-one;
}
t = one;
if(k<23) {
SET_FLOAT_WORD(t,0x3f800000 - (0x1000000>>k)); /* t=1-2^-k */
SET_FLOAT_WORD(t,0x3f800000 - (0x1000000>>k)); /* t=1-2^-k */
y = t-(e-x);
y = y*twopk;
} else {

26
libc/tinymath/ktan.c
View file

@ -90,19 +90,19 @@ asm(".include \"libc/disclaimer.inc\"");
#define INSERT(d,hi,lo) (d)=ASDOUBLE((uint64_t)(hi)<<32|(uint32_t)(lo))
static const double T[] = {
3.33333333333334091986e-01, /* 3FD55555, 55555563 */
1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */
5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */
2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */
8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */
3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */
1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */
5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */
2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */
7.81794442939557092300e-05, /* 3F147E88, A03792A6 */
7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
-1.85586374855275456654e-05, /* BEF375CB, DB605373 */
2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
3.33333333333334091986e-01, /* 3FD55555, 55555563 */
1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */
5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */
2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */
8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */
3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */
1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */
5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */
2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */
7.81794442939557092300e-05, /* 3F147E88, A03792A6 */
7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
-1.85586374855275456654e-05, /* BEF375CB, DB605373 */
2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
},
pio4 = 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
pio4lo = 3.06161699786838301793e-17; /* 3C81A626, 33145C07 */

52
libc/tinymath/log1pf.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -105,35 +105,35 @@ log1pf (float x)
/* Handle special cases first. */
if (UNLIKELY (ia12 >= 0x7f8 || ix >= 0xbf800000 || ix == 0x80000000
|| e <= TINY_BOUND_BEXP))
|| e <= TINY_BOUND_BEXP))
{
if (ix == 0xff800000)
{
/* x == -Inf => log1pf(x) = NaN. */
return NAN;
}
{
/* x == -Inf => log1pf(x) = NaN. */
return NAN;
}
if ((ix == 0x7f800000 || e <= TINY_BOUND_BEXP) && ia12 <= 0x7f8)
{
/* |x| < TinyBound => log1p(x) = x.
x == Inf => log1pf(x) = Inf. */
return x;
}
{
/* |x| < TinyBound => log1p(x) = x.
x == Inf => log1pf(x) = Inf. */
return x;
}
if (ix == 0xbf800000)
{
/* x == -1.0 => log1pf(x) = -Inf. */
return __math_divzerof (-1);
}
{
/* x == -1.0 => log1pf(x) = -Inf. */
return __math_divzerof (-1);
}
if (ia12 >= 0x7f8)
{
/* x == +/-NaN => log1pf(x) = NaN. */
return __math_invalidf (asfloat (ia));
}
{
/* x == +/-NaN => log1pf(x) = NaN. */
return __math_invalidf (asfloat (ia));
}
/* x < -1.0 => log1pf(x) = NaN. */
return __math_invalidf (x);
}
/* With x + 1 = t * 2^k (where t = m + 1 and k is chosen such that m
is in [-0.25, 0.5]):
is in [-0.25, 0.5]):
log1p(x) = log(t) + log(2^k) = log1p(m) + k*log(2).
We approximate log1p(m) with a polynomial, then scale by
@ -144,8 +144,8 @@ log1pf (float x)
if (ix <= 0x3f000000 || ia <= 0x3e800000)
{
/* If x is in [-0.25, 0.5] then we can shortcut all the logic
below, as k = 0 and m = x. All we need is to return the
polynomial. */
below, as k = 0 and m = x. All we need is to return the
polynomial. */
return eval_poly (x, e);
}
@ -154,10 +154,10 @@ log1pf (float x)
/* k is used scale the input. 0x3f400000 is chosen as we are trying to
reduce x to the range [-0.25, 0.5]. Inside this range, k is 0.
Outside this range, if k is reinterpreted as (NOT CONVERTED TO) float:
let k = sign * 2^p where sign = -1 if x < 0
1 otherwise
and p is a negative integer whose magnitude increases with the
magnitude of x. */
let k = sign * 2^p where sign = -1 if x < 0
1 otherwise
and p is a negative integer whose magnitude increases with the
magnitude of x. */
int k = (asuint (m) - 0x3f400000) & 0xff800000;
/* By using integer arithmetic, we obtain the necessary scaling by

6
libc/tinymath/log1pf_data.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -37,5 +37,5 @@ asm(".include \"libc/disclaimer.inc\"");
algorithm, see tools/log1pf.sollya for details. */
const struct log1pf_data __log1pf_data
= {.coeffs = {-0x1p-1f, 0x1.5555aap-2f, -0x1.000038p-2f, 0x1.99675cp-3f,
-0x1.54ef78p-3f, 0x1.28a1f4p-3f, -0x1.0da91p-3f, 0x1.abcb6p-4f,
-0x1.6f0d5ep-5f}};
-0x1.54ef78p-3f, 0x1.28a1f4p-3f, -0x1.0da91p-3f, 0x1.abcb6p-4f,
-0x1.6f0d5ep-5f}};

706
libc/tinymath/powl.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╞══════════════════════════════════════════════════════════════════════════════╡
│ Copyright 2021 Justine Alexandra Roberts Tunney │
│ │
@ -292,229 +292,229 @@ static long double powil(long double, int);
long double powl(long double x, long double y)
{
/* double F, Fa, Fb, G, Ga, Gb, H, Ha, Hb */
int i, nflg, iyflg, yoddint;
long e;
volatile long double z=0;
long double w=0, W=0, Wa=0, Wb=0, ya=0, yb=0, u=0;
/* double F, Fa, Fb, G, Ga, Gb, H, Ha, Hb */
int i, nflg, iyflg, yoddint;
long e;
volatile long double z=0;
long double w=0, W=0, Wa=0, Wb=0, ya=0, yb=0, u=0;
/* make sure no invalid exception is raised by nan comparision */
if (isnan(x)) {
if (!isnan(y) && y == 0.0)
return 1.0;
return x;
}
if (isnan(y)) {
if (x == 1.0)
return 1.0;
return y;
}
if (x == 1.0)
return 1.0; /* 1**y = 1, even if y is nan */
if (x == -1.0 && !isfinite(y))
return 1.0; /* -1**inf = 1 */
if (y == 0.0)
return 1.0; /* x**0 = 1, even if x is nan */
if (y == 1.0)
return x;
if (y >= LDBL_MAX) {
if (x > 1.0 || x < -1.0)
return INFINITY;
if (x != 0.0)
return 0.0;
}
if (y <= -LDBL_MAX) {
if (x > 1.0 || x < -1.0)
return 0.0;
if (x != 0.0 || y == -INFINITY)
return INFINITY;
}
if (x >= LDBL_MAX) {
if (y > 0.0)
return INFINITY;
return 0.0;
}
/* make sure no invalid exception is raised by nan comparision */
if (isnan(x)) {
if (!isnan(y) && y == 0.0)
return 1.0;
return x;
}
if (isnan(y)) {
if (x == 1.0)
return 1.0;
return y;
}
if (x == 1.0)
return 1.0; /* 1**y = 1, even if y is nan */
if (x == -1.0 && !isfinite(y))
return 1.0; /* -1**inf = 1 */
if (y == 0.0)
return 1.0; /* x**0 = 1, even if x is nan */
if (y == 1.0)
return x;
if (y >= LDBL_MAX) {
if (x > 1.0 || x < -1.0)
return INFINITY;
if (x != 0.0)
return 0.0;
}
if (y <= -LDBL_MAX) {
if (x > 1.0 || x < -1.0)
return 0.0;
if (x != 0.0 || y == -INFINITY)
return INFINITY;
}
if (x >= LDBL_MAX) {
if (y > 0.0)
return INFINITY;
return 0.0;
}
w = floorl(y);
w = floorl(y);
/* Set iyflg to 1 if y is an integer. */
iyflg = 0;
if (w == y)
iyflg = 1;
/* Set iyflg to 1 if y is an integer. */
iyflg = 0;
if (w == y)
iyflg = 1;
/* Test for odd integer y. */
yoddint = 0;
if (iyflg) {
ya = fabsl(y);
ya = floorl(0.5 * ya);
yb = 0.5 * fabsl(w);
if( ya != yb )
yoddint = 1;
}
/* Test for odd integer y. */
yoddint = 0;
if (iyflg) {
ya = fabsl(y);
ya = floorl(0.5 * ya);
yb = 0.5 * fabsl(w);
if( ya != yb )
yoddint = 1;
}
if (x <= -LDBL_MAX) {
if (y > 0.0) {
if (yoddint)
return -INFINITY;
return INFINITY;
}
if (y < 0.0) {
if (yoddint)
return -0.0;
return 0.0;
}
}
nflg = 0; /* (x<0)**(odd int) */
if (x <= 0.0) {
if (x == 0.0) {
if (y < 0.0) {
if (signbit(x) && yoddint)
/* (-0.0)**(-odd int) = -inf, divbyzero */
return -1.0/0.0;
/* (+-0.0)**(negative) = inf, divbyzero */
return 1.0/0.0;
}
if (signbit(x) && yoddint)
return -0.0;
return 0.0;
}
if (iyflg == 0)
return (x - x) / (x - x); /* (x<0)**(non-int) is NaN */
/* (x<0)**(integer) */
if (yoddint)
nflg = 1; /* negate result */
x = -x;
}
/* (+integer)**(integer) */
if (iyflg && floorl(x) == x && fabsl(y) < 32768.0) {
w = powil(x, (int)y);
return nflg ? -w : w;
}
if (x <= -LDBL_MAX) {
if (y > 0.0) {
if (yoddint)
return -INFINITY;
return INFINITY;
}
if (y < 0.0) {
if (yoddint)
return -0.0;
return 0.0;
}
}
nflg = 0; /* (x<0)**(odd int) */
if (x <= 0.0) {
if (x == 0.0) {
if (y < 0.0) {
if (signbit(x) && yoddint)
/* (-0.0)**(-odd int) = -inf, divbyzero */
return -1.0/0.0;
/* (+-0.0)**(negative) = inf, divbyzero */
return 1.0/0.0;
}
if (signbit(x) && yoddint)
return -0.0;
return 0.0;
}
if (iyflg == 0)
return (x - x) / (x - x); /* (x<0)**(non-int) is NaN */
/* (x<0)**(integer) */
if (yoddint)
nflg = 1; /* negate result */
x = -x;
}
/* (+integer)**(integer) */
if (iyflg && floorl(x) == x && fabsl(y) < 32768.0) {
w = powil(x, (int)y);
return nflg ? -w : w;
}
/* separate significand from exponent */
x = frexpl(x, &i);
e = i;
/* separate significand from exponent */
x = frexpl(x, &i);
e = i;
/* find significand in antilog table A[] */
i = 1;
if (x <= A[17])
i = 17;
if (x <= A[i+8])
i += 8;
if (x <= A[i+4])
i += 4;
if (x <= A[i+2])
i += 2;
if (x >= A[1])
i = -1;
i += 1;
/* find significand in antilog table A[] */
i = 1;
if (x <= A[17])
i = 17;
if (x <= A[i+8])
i += 8;
if (x <= A[i+4])
i += 4;
if (x <= A[i+2])
i += 2;
if (x >= A[1])
i = -1;
i += 1;
/* Find (x - A[i])/A[i]
* in order to compute log(x/A[i]):
*
* log(x) = log( a x/a ) = log(a) + log(x/a)
*
* log(x/a) = log(1+v), v = x/a - 1 = (x-a)/a
*/
x -= A[i];
x -= B[i/2];
x /= A[i];
/* Find (x - A[i])/A[i]
* in order to compute log(x/A[i]):
*
* log(x) = log( a x/a ) = log(a) + log(x/a)
*
* log(x/a) = log(1+v), v = x/a - 1 = (x-a)/a
*/
x -= A[i];
x -= B[i/2];
x /= A[i];
/* rational approximation for log(1+v):
*
* log(1+v) = v - v**2/2 + v**3 P(v) / Q(v)
*/
z = x*x;
w = x * (z * __polevll(x, P, 3) / __p1evll(x, Q, 3));
w = w - 0.5*z;
/* rational approximation for log(1+v):
*
* log(1+v) = v - v**2/2 + v**3 P(v) / Q(v)
*/
z = x*x;
w = x * (z * __polevll(x, P, 3) / __p1evll(x, Q, 3));
w = w - 0.5*z;
/* Convert to base 2 logarithm:
* multiply by log2(e) = 1 + LOG2EA
*/
z = LOG2EA * w;
z += w;
z += LOG2EA * x;
z += x;
/* Convert to base 2 logarithm:
* multiply by log2(e) = 1 + LOG2EA
*/
z = LOG2EA * w;
z += w;
z += LOG2EA * x;
z += x;
/* Compute exponent term of the base 2 logarithm. */
w = -i;
w /= NXT;
w += e;
/* Now base 2 log of x is w + z. */
/* Compute exponent term of the base 2 logarithm. */
w = -i;
w /= NXT;
w += e;
/* Now base 2 log of x is w + z. */
/* Multiply base 2 log by y, in extended precision. */
/* Multiply base 2 log by y, in extended precision. */
/* separate y into large part ya
* and small part yb less than 1/NXT
*/
ya = reducl(y);
yb = y - ya;
/* separate y into large part ya
* and small part yb less than 1/NXT
*/
ya = reducl(y);
yb = y - ya;
/* (w+z)(ya+yb)
* = w*ya + w*yb + z*y
*/
F = z * y + w * yb;
Fa = reducl(F);
Fb = F - Fa;
/* (w+z)(ya+yb)
* = w*ya + w*yb + z*y
*/
F = z * y + w * yb;
Fa = reducl(F);
Fb = F - Fa;
G = Fa + w * ya;
Ga = reducl(G);
Gb = G - Ga;
G = Fa + w * ya;
Ga = reducl(G);
Gb = G - Ga;
H = Fb + Gb;
Ha = reducl(H);
w = (Ga + Ha) * NXT;
H = Fb + Gb;
Ha = reducl(H);
w = (Ga + Ha) * NXT;
/* Test the power of 2 for overflow */
if (w > MEXP)
return huge * huge; /* overflow */
if (w < MNEXP)
return twom10000 * twom10000; /* underflow */
/* Test the power of 2 for overflow */
if (w > MEXP)
return huge * huge; /* overflow */
if (w < MNEXP)
return twom10000 * twom10000; /* underflow */
e = w;
Hb = H - Ha;
e = w;
Hb = H - Ha;
if (Hb > 0.0) {
e += 1;
Hb -= 1.0/NXT; /*0.0625L;*/
}
if (Hb > 0.0) {
e += 1;
Hb -= 1.0/NXT; /*0.0625L;*/
}
/* Now the product y * log2(x) = Hb + e/NXT.
*
* Compute base 2 exponential of Hb,
* where -0.0625 <= Hb <= 0.
*/
z = Hb * __polevll(Hb, R, 6); /* z = 2**Hb - 1 */
/* Now the product y * log2(x) = Hb + e/NXT.
*
* Compute base 2 exponential of Hb,
* where -0.0625 <= Hb <= 0.
*/
z = Hb * __polevll(Hb, R, 6); /* z = 2**Hb - 1 */
/* Express e/NXT as an integer plus a negative number of (1/NXT)ths.
* Find lookup table entry for the fractional power of 2.
*/
if (e < 0)
i = 0;
else
i = 1;
i = e/NXT + i;
e = NXT*i - e;
w = A[e];
z = w * z; /* 2**-e * ( 1 + (2**Hb-1) ) */
z = z + w;
z = scalbnl(z, i); /* multiply by integer power of 2 */
/* Express e/NXT as an integer plus a negative number of (1/NXT)ths.
* Find lookup table entry for the fractional power of 2.
*/
if (e < 0)
i = 0;
else
i = 1;
i = e/NXT + i;
e = NXT*i - e;
w = A[e];
z = w * z; /* 2**-e * ( 1 + (2**Hb-1) ) */
z = z + w;
z = scalbnl(z, i); /* multiply by integer power of 2 */
if (nflg)
z = -z;
return z;
if (nflg)
z = -z;
return z;
}
/* Find a multiple of 1/NXT that is within 1/NXT of x. */
static long double reducl(long double x)
{
long double t;
long double t;
t = x * NXT;
t = floorl(t);
t = t / NXT;
return t;
t = x * NXT;
t = floorl(t);
t = t / NXT;
return t;
}
/*
@ -551,66 +551,66 @@ static long double reducl(long double x)
static long double powil(long double x, int nn)
{
long double ww, y;
long double s;
int n, e, sign, lx;
long double ww, y;
long double s;
int n, e, sign, lx;
if (nn == 0)
return 1.0;
if (nn == 0)
return 1.0;
if (nn < 0) {
sign = -1;
n = -nn;
} else {
sign = 1;
n = nn;
}
if (nn < 0) {
sign = -1;
n = -nn;
} else {
sign = 1;
n = nn;
}
/* Overflow detection */
/* Overflow detection */
/* Calculate approximate logarithm of answer */
s = x;
s = frexpl( s, &lx);
e = (lx - 1)*n;
if ((e == 0) || (e > 64) || (e < -64)) {
s = (s - 7.0710678118654752e-1L) / (s + 7.0710678118654752e-1L);
s = (2.9142135623730950L * s - 0.5 + lx) * nn * LOGE2L;
} else {
s = LOGE2L * e;
}
/* Calculate approximate logarithm of answer */
s = x;
s = frexpl( s, &lx);
e = (lx - 1)*n;
if ((e == 0) || (e > 64) || (e < -64)) {
s = (s - 7.0710678118654752e-1L) / (s + 7.0710678118654752e-1L);
s = (2.9142135623730950L * s - 0.5 + lx) * nn * LOGE2L;
} else {
s = LOGE2L * e;
}
if (s > MAXLOGL)
return huge * huge; /* overflow */
if (s > MAXLOGL)
return huge * huge; /* overflow */
if (s < MINLOGL)
return twom10000 * twom10000; /* underflow */
/* Handle tiny denormal answer, but with less accuracy
* since roundoff error in 1.0/x will be amplified.
* The precise demarcation should be the gradual underflow threshold.
*/
if (s < -MAXLOGL+2.0) {
x = 1.0/x;
sign = -sign;
}
if (s < MINLOGL)
return twom10000 * twom10000; /* underflow */
/* Handle tiny denormal answer, but with less accuracy
* since roundoff error in 1.0/x will be amplified.
* The precise demarcation should be the gradual underflow threshold.
*/
if (s < -MAXLOGL+2.0) {
x = 1.0/x;
sign = -sign;
}
/* First bit of the power */
if (n & 1)
y = x;
else
y = 1.0;
/* First bit of the power */
if (n & 1)
y = x;
else
y = 1.0;
ww = x;
n >>= 1;
while (n) {
ww = ww * ww; /* arg to the 2-to-the-kth power */
if (n & 1) /* if that bit is set, then include in product */
y *= ww;
n >>= 1;
}
ww = x;
n >>= 1;
while (n) {
ww = ww * ww; /* arg to the 2-to-the-kth power */
if (n & 1) /* if that bit is set, then include in product */
y *= ww;
n >>= 1;
}
if (sign < 0)
y = 1.0/y;
return y;
if (sign < 0)
y = 1.0/y;
return y;
}
#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
@ -649,35 +649,35 @@ Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>\"");
/* powl(x,y) return x**y
*
* n
* n
* Method: Let x = 2 * (1+f)
* 1. Compute and return log2(x) in two pieces:
* log2(x) = w1 + w2,
* where w1 has 113-53 = 60 bit trailing zeros.
* 2. Perform y*log2(x) = n+y' by simulating multi-precision
* arithmetic, where |y'|<=0.5.
* 3. Return x**y = 2**n*exp(y'*log2)
* 1. Compute and return log2(x) in two pieces:
* log2(x) = w1 + w2,
* where w1 has 113-53 = 60 bit trailing zeros.
* 2. Perform y*log2(x) = n+y' by simulating multi-precision
* arithmetic, where |y'|<=0.5.
* 3. Return x**y = 2**n*exp(y'*log2)
*
* Special cases:
* 1. (anything) ** 0 is 1
* 2. (anything) ** 1 is itself
* 3. (anything) ** NAN is NAN
* 4. NAN ** (anything except 0) is NAN
* 5. +-(|x| > 1) ** +INF is +INF
* 6. +-(|x| > 1) ** -INF is +0
* 7. +-(|x| < 1) ** +INF is +0
* 8. +-(|x| < 1) ** -INF is +INF
* 9. +-1 ** +-INF is NAN
* 10. +0 ** (+anything except 0, NAN) is +0
* 11. -0 ** (+anything except 0, NAN, odd integer) is +0
* 12. +0 ** (-anything except 0, NAN) is +INF
* 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
* 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
* 15. +INF ** (+anything except 0,NAN) is +INF
* 16. +INF ** (-anything except 0,NAN) is +0
* 17. -INF ** (anything) = -0 ** (-anything)
* 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
* 19. (-anything except 0 and inf) ** (non-integer) is NAN
* 1. (anything) ** 0 is 1
* 2. (anything) ** 1 is itself
* 3. (anything) ** NAN is NAN
* 4. NAN ** (anything except 0) is NAN
* 5. +-(|x| > 1) ** +INF is +INF
* 6. +-(|x| > 1) ** -INF is +0
* 7. +-(|x| < 1) ** +INF is +0
* 8. +-(|x| < 1) ** -INF is +INF
* 9. +-1 ** +-INF is NAN
* 10. +0 ** (+anything except 0, NAN) is +0
* 11. -0 ** (+anything except 0, NAN, odd integer) is +0
* 12. +0 ** (-anything except 0, NAN) is +INF
* 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
* 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
* 15. +INF ** (+anything except 0,NAN) is +INF
* 16. +INF ** (-anything except 0,NAN) is +0
* 17. -INF ** (anything) = -0 ** (-anything)
* 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
* 19. (-anything except 0 and inf) ** (non-integer) is NAN
*
*/
@ -792,10 +792,10 @@ powl(long double x, long double y)
/* +-NaN return x+y */
if ((ix > 0x7fff0000)
|| ((ix == 0x7fff0000)
&& ((p.parts32.mswlo | p.parts32.lswhi | p.parts32.lswlo) != 0))
&& ((p.parts32.mswlo | p.parts32.lswhi | p.parts32.lswlo) != 0))
|| (iy > 0x7fff0000)
|| ((iy == 0x7fff0000)
&& ((q.parts32.mswlo | q.parts32.lswhi | q.parts32.lswlo) != 0)))
&& ((q.parts32.mswlo | q.parts32.lswhi | q.parts32.lswlo) != 0)))
return nan_mix(x, y);
/* determine if y is an odd int when x < 0
@ -806,48 +806,48 @@ powl(long double x, long double y)
yisint = 0;
if (hx < 0)
{
if (iy >= 0x40700000) /* 2^113 */
yisint = 2; /* even integer y */
else if (iy >= 0x3fff0000) /* 1.0 */
{
if (floorl (y) == y)
{
z = 0.5 * y;
if (floorl (z) == z)
yisint = 2;
else
yisint = 1;
}
}
if (iy >= 0x40700000) /* 2^113 */
yisint = 2; /* even integer y */
else if (iy >= 0x3fff0000) /* 1.0 */
{
if (floorl (y) == y)
{
z = 0.5 * y;
if (floorl (z) == z)
yisint = 2;
else
yisint = 1;
}
}
}
/* special value of y */
if ((q.parts32.mswlo | q.parts32.lswhi | q.parts32.lswlo) == 0)
{
if (iy == 0x7fff0000) /* y is +-inf */
{
if (((ix - 0x3fff0000) | p.parts32.mswlo | p.parts32.lswhi |
p.parts32.lswlo) == 0)
return y - y; /* +-1**inf is NaN */
else if (ix >= 0x3fff0000) /* (|x|>1)**+-inf = inf,0 */
return (hy >= 0) ? y : zero;
else /* (|x|<1)**-,+inf = inf,0 */
return (hy < 0) ? -y : zero;
}
if (iy == 0x7fff0000) /* y is +-inf */
{
if (((ix - 0x3fff0000) | p.parts32.mswlo | p.parts32.lswhi |
p.parts32.lswlo) == 0)
return y - y; /* +-1**inf is NaN */
else if (ix >= 0x3fff0000) /* (|x|>1)**+-inf = inf,0 */
return (hy >= 0) ? y : zero;
else /* (|x|<1)**-,+inf = inf,0 */
return (hy < 0) ? -y : zero;
}
if (iy == 0x3fff0000)
{ /* y is +-1 */
if (hy < 0)
return one / x;
else
return x;
}
{ /* y is +-1 */
if (hy < 0)
return one / x;
else
return x;
}
if (hy == 0x40000000)
return x * x; /* y is 2 */
return x * x; /* y is 2 */
if (hy == 0x3ffe0000)
{ /* y is 0.5 */
if (hx >= 0) /* x >= +0 */
return sqrtl (x);
}
{ /* y is 0.5 */
if (hx >= 0) /* x >= +0 */
return sqrtl (x);
}
}
ax = fabsl (x);
@ -855,21 +855,21 @@ powl(long double x, long double y)
if ((p.parts32.mswlo | p.parts32.lswhi | p.parts32.lswlo) == 0)
{
if (ix == 0x7fff0000 || ix == 0 || ix == 0x3fff0000)
{
z = ax; /*x is +-0,+-inf,+-1 */
if (hy < 0)
z = one / z; /* z = (1/|x|) */
if (hx < 0)
{
if (((ix - 0x3fff0000) | yisint) == 0)
{
z = (z - z) / (z - z); /* (-1)**non-int is NaN */
}
else if (yisint == 1)
z = -z; /* (x<0)**odd = -(|x|**odd) */
}
return z;
}
{
z = ax; /*x is +-0,+-inf,+-1 */
if (hy < 0)
z = one / z; /* z = (1/|x|) */
if (hx < 0)
{
if (((ix - 0x3fff0000) | yisint) == 0)
{
z = (z - z) / (z - z); /* (-1)**non-int is NaN */
}
else if (yisint == 1)
z = -z; /* (x<0)**odd = -(|x|**odd) */
}
return z;
}
}
/* (x<0)**(non-int) is NaN */
@ -883,17 +883,17 @@ powl(long double x, long double y)
{
/* if (1 - 2^-113)^y underflows, y > 1.1873e38 */
if (iy > 0x407d654b)
{
if (ix <= 0x3ffeffff)
return (hy < 0) ? huge * huge : tiny * tiny;
if (ix >= 0x3fff0000)
return (hy > 0) ? huge * huge : tiny * tiny;
}
{
if (ix <= 0x3ffeffff)
return (hy < 0) ? huge * huge : tiny * tiny;
if (ix >= 0x3fff0000)
return (hy > 0) ? huge * huge : tiny * tiny;
}
/* over/underflow if x is not close to one */
if (ix < 0x3ffeffff)
return (hy < 0) ? huge * huge : tiny * tiny;
return (hy < 0) ? huge * huge : tiny * tiny;
if (ix > 0x3fff0000)
return (hy > 0) ? huge * huge : tiny * tiny;
return (hy > 0) ? huge * huge : tiny * tiny;
}
n = 0;
@ -908,11 +908,11 @@ powl(long double x, long double y)
n += ((ix) >> 16) - 0x3fff;
j = ix & 0x0000ffff;
/* determine interval */
ix = j | 0x3fff0000; /* normalize ix */
ix = j | 0x3fff0000; /* normalize ix */
if (j <= 0x3988)
k = 0; /* |x|<sqrt(3/2) */
k = 0; /* |x|<sqrt(3/2) */
else if (j < 0xbb67)
k = 1; /* |x|<sqrt(3) */
k = 1; /* |x|<sqrt(3) */
else
{
k = 0;
@ -925,7 +925,7 @@ powl(long double x, long double y)
ax = o.value;
/* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
u = ax - bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
u = ax - bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
v = one / (ax + bp[k]);
s = u * v;
s_h = s;
@ -965,7 +965,7 @@ powl(long double x, long double y)
o.parts32.lswhi &= 0xf8000000;
p_h = o.value;
p_l = v - (p_h - u);
z_h = cp_h * p_h; /* cp_h+cp_l = 2/(3*log2) */
z_h = cp_h * p_h; /* cp_h+cp_l = 2/(3*log2) */
z_l = cp_l * p_h + p_l * cp + dp_l[k];
/* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
t = (long double) n;
@ -979,7 +979,7 @@ powl(long double x, long double y)
/* s (sign of result -ve**odd) = -1 else = 1 */
s = one;
if (((((uint32_t) hx >> 31) - 1) | (yisint - 1)) == 0)
s = -one; /* (-ve)**(odd int) */
s = -one; /* (-ve)**(odd int) */
/* split up y into yy1+y2 and compute (yy1+y2)*(t1+t2) */
yy1 = y;
@ -996,33 +996,33 @@ powl(long double x, long double y)
{
/* if z > 16384 */
if (((j - 0x400d0000) | o.parts32.mswlo | o.parts32.lswhi |
o.parts32.lswlo) != 0)
return s * huge * huge; /* overflow */
o.parts32.lswlo) != 0)
return s * huge * huge; /* overflow */
else
{
if (p_l + ovt > z - p_h)
return s * huge * huge; /* overflow */
}
{
if (p_l + ovt > z - p_h)
return s * huge * huge; /* overflow */
}
}
else if ((j & 0x7fffffff) >= 0x400d01b9) /* z <= -16495 */
else if ((j & 0x7fffffff) >= 0x400d01b9) /* z <= -16495 */
{
/* z < -16495 */
if (((j - 0xc00d01bc) | o.parts32.mswlo | o.parts32.lswhi |
o.parts32.lswlo)
!= 0)
return s * tiny * tiny; /* underflow */
o.parts32.lswlo)
!= 0)
return s * tiny * tiny; /* underflow */
else
{
if (p_l <= z - p_h)
return s * tiny * tiny; /* underflow */
}
{
if (p_l <= z - p_h)
return s * tiny * tiny; /* underflow */
}
}
/* compute 2**(p_h+p_l) */
i = j & 0x7fffffff;
k = (i >> 16) - 0x3fff;
n = 0;
if (i > 0x3ffe0000)
{ /* if |z| > 0.5, set n = [z+0.5] */
{ /* if |z| > 0.5, set n = [z+0.5] */
n = floorl (z + 0.5L);
t = n;
p_h -= t;
@ -1047,7 +1047,7 @@ powl(long double x, long double y)
j = o.parts32.mswhi;
j += (n << 16);
if ((j >> 16) <= 0)
z = scalbnl (z, n); /* subnormal output */
z = scalbnl (z, n); /* subnormal output */
else
{
o.parts32.mswhi = j;

68
libc/tinymath/remainderf.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╞══════════════════════════════════════════════════════════════════════════════╡
│ Copyright 2023 Justine Alexandra Roberts Tunney │
│ │
@ -34,41 +34,41 @@ static const float zero = 0.0;
float
remainderf2(float x, float p)
{
int32_t hx,hp;
uint32_t sx;
float p_half;
int32_t hx,hp;
uint32_t sx;
float p_half;
GET_FLOAT_WORD(hx,x);
GET_FLOAT_WORD(hp,p);
sx = hx&0x80000000;
hp &= 0x7fffffff;
hx &= 0x7fffffff;
GET_FLOAT_WORD(hx,x);
GET_FLOAT_WORD(hp,p);
sx = hx&0x80000000;
hp &= 0x7fffffff;
hx &= 0x7fffffff;
/* purge off exception values */
if((hp==0)|| /* p = 0 */
(hx>=0x7f800000)|| /* x not finite */
((hp>0x7f800000))) /* p is NaN */
return nan_mix_op(x, p, *)/nan_mix_op(x, p, *);
/* purge off exception values */
if((hp==0)|| /* p = 0 */
(hx>=0x7f800000)|| /* x not finite */
((hp>0x7f800000))) /* p is NaN */
return nan_mix_op(x, p, *)/nan_mix_op(x, p, *);
if (hp<=0x7effffff) x = fmodf(x,p+p); /* now x < 2p */
if ((hx-hp)==0) return zero*x;
x = fabsf(x);
p = fabsf(p);
if (hp<0x01000000) {
if(x+x>p) {
x-=p;
if(x+x>=p) x -= p;
}
} else {
p_half = (float)0.5*p;
if(x>p_half) {
x-=p;
if(x>=p_half) x -= p;
}
}
GET_FLOAT_WORD(hx,x);
if ((hx&0x7fffffff)==0) hx = 0;
SET_FLOAT_WORD(x,hx^sx);
return x;
if (hp<=0x7effffff) x = fmodf(x,p+p); /* now x < 2p */
if ((hx-hp)==0) return zero*x;
x = fabsf(x);
p = fabsf(p);
if (hp<0x01000000) {
if(x+x>p) {
x-=p;
if(x+x>=p) x -= p;
}
} else {
p_half = (float)0.5*p;
if(x>p_half) {
x-=p;
if(x>=p_half) x -= p;
}
}
GET_FLOAT_WORD(hx,x);
if ((hx&0x7fffffff)==0) hx = 0;
SET_FLOAT_WORD(x,hx^sx);
return x;
}

26
libc/tinymath/sincosf.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -52,14 +52,14 @@ sincosf (float y, float *sinp, float *cosp)
double x2 = x * x;
if (UNLIKELY (abstop12 (y) < abstop12 (0x1p-12f)))
{
if (UNLIKELY (abstop12 (y) < abstop12 (0x1p-126f)))
/* Force underflow for tiny y. */
FORCE_EVAL (x2);
*sinp = y;
*cosp = 1.0f;
return;
}
{
if (UNLIKELY (abstop12 (y) < abstop12 (0x1p-126f)))
/* Force underflow for tiny y. */
FORCE_EVAL (x2);
*sinp = y;
*cosp = 1.0f;
return;
}
sincosf_poly (x, x2, p, 0, sinp, cosp);
}
@ -71,7 +71,7 @@ sincosf (float y, float *sinp, float *cosp)
s = p->sign[n & 3];
if (n & 2)
p = &__sincosf_table[1];
p = &__sincosf_table[1];
sincosf_poly (x * s, x * x, p, n, sinp, cosp);
}
@ -86,7 +86,7 @@ sincosf (float y, float *sinp, float *cosp)
s = p->sign[(n + sign) & 3];
if ((n + sign) & 2)
p = &__sincosf_table[1];
p = &__sincosf_table[1];
sincosf_poly (x * s, x * x, p, n, sinp, cosp);
}
@ -96,8 +96,8 @@ sincosf (float y, float *sinp, float *cosp)
*sinp = *cosp = y - y;
#if WANT_ERRNO
/* Needed to set errno for +-Inf, the add is a hack to work
around a gcc register allocation issue: just passing y
affects code generation in the fast path. */
around a gcc register allocation issue: just passing y
affects code generation in the fast path. */
__math_invalidf (y + y);
#endif
}

4
libc/tinymath/sincosf_data.c
View file

@ -1,5 +1,5 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
│ vi: set et ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi │
│ vi: set et ft=c ts=8 sts=2 sw=2 fenc=utf-8 :vi │
╚──────────────────────────────────────────────────────────────────────────────╝
│ │
│ Optimized Routines │
@ -77,7 +77,7 @@ const sincos_t __sincosf_table[2] =
only 8 new bits are added per entry, making the table 4 times larger. */
const uint32_t __inv_pio4[24] =
{
0xa2, 0xa2f9, 0xa2f983, 0xa2f9836e,
0xa2, 0xa2f9, 0xa2f983, 0xa2f9836e,
0xf9836e4e, 0x836e4e44, 0x6e4e4415, 0x4e441529,
0x441529fc, 0x1529fc27, 0x29fc2757, 0xfc2757d1,
0x2757d1f5, 0x57d1f534, 0xd1f534dd, 0xf534ddc0,

40
net/http/kescapeauthority.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DUL '_.!~*'"'"'();&=+$,-' -iskEscapeAuthority
// generated by:
// o//tool/build/xlat.com -DUL '_.!~*'"'"'();&=+$,-' -iskEscapeAuthority
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % / ! $ &‘()*+,-. 0x20
// : < >⁇ 0123456789 ; = 0x30
// @ ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % / ! $ &‘()*+,-. 0x20
// : < >⁇ 0123456789 ; = 0x30
// @ ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kEscapeAuthority[256] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, // 0x00

40
net/http/kescapefragment.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DUL '/?.~_@:!$&'"'"'()*+,;=-' -iskEscapeFragment
// generated by:
// o//tool/build/xlat.com -DUL '/?.~_@:!$&'"'"'()*+,;=-' -iskEscapeFragment
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % ! § &‘()*+,-./ 0x20
// < > 0123456789:; = ⁇ 0x30
// @ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % ! § &‘()*+,-./ 0x20
// < > 0123456789:; = ⁇ 0x30
// @ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kEscapeFragment[256] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, // 0x00

40
net/http/kescapeip.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DUL '_-.!~*'"'"'();&=+$,:' -iskEscapeIp
// generated by:
// o//tool/build/xlat.com -DUL '_-.!~*'"'"'();&=+$,:' -iskEscapeIp
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % / ! § &‘()*+,-. 0x20
// < >⁇ 0123456789:; = 0x30
// @ ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % / ! § &‘()*+,-. 0x20
// < >⁇ 0123456789:; = 0x30
// @ ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kEscapeIp[256] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, // 0x00

40
net/http/kescapeparam.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DUL '.-*_' -iskEscapeParam
// generated by:
// o//tool/build/xlat.com -DUL '.-*_' -iskEscapeParam
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠!“#§%&‘() +, / * -. 0x20
// :;<=>⁇ 0123456789 0x30
// @ ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|}~⌂ pqrstuvwxyz 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠!“#§%&‘() +, / * -. 0x20
// :;<=>⁇ 0123456789 0x30
// @ ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|}~⌂ pqrstuvwxyz 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kEscapeParam[256] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, // 0x00

40
net/http/kescapepath.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DUL '.-~_@:!$&'"'"'()*+,;=/' -iskEscapePath
// generated by:
// o//tool/build/xlat.com -DUL '.-~_@:!$&'"'"'()*+,;=/' -iskEscapePath
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % ! § &‘()*+,-./ 0x20
// < >⁇ 0123456789:; = 0x30
// @ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % ! § &‘()*+,-./ 0x20
// < >⁇ 0123456789:; = 0x30
// @ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kEscapePath[256] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, // 0x00

40
net/http/kescapesegment.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DUL '.-~_@:!$&'"'"'()*+,;=' -iskEscapeSegment
// generated by:
// o//tool/build/xlat.com -DUL '.-~_@:!$&'"'"'()*+,;=' -iskEscapeSegment
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % / ! § &‘()*+,-. 0x20
// < >⁇ 0123456789:; = 0x30
// @ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ␠ “# % / ! § &‘()*+,-. 0x20
// < >⁇ 0123456789:; = 0x30
// @ABCDEFGHIJKLMNO 0x40
// [⭝]^ PQRSTUVWXYZ _ 0x50
// ` abcdefghijklmno 0x60
// {|} ⌂ pqrstuvwxyz ~ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kEscapeSegment[256] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, // 0x00

40
net/http/khostchars.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -DA _- -skHostChars
// generated by:
// o//tool/build/xlat.com -DA _- -skHostChars
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// - ␠!“#§%&‘()*+, ./ 0x20
// 0123456789 :;<=>⁇ 0x30
// ABCDEFGHIJKLMNO @ 0x40
// PQRSTUVWXYZ _ [⭝]^ 0x50
// abcdefghijklmno ` 0x60
// pqrstuvwxyz {|}~⌂ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// - ␠!“#§%&‘()*+, ./ 0x20
// 0123456789 :;<=>⁇ 0x30
// ABCDEFGHIJKLMNO @ 0x40
// PQRSTUVWXYZ _ [⭝]^ 0x50
// abcdefghijklmno ` 0x60
// pqrstuvwxyz {|}~⌂ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kHostChars[256] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 0x00

62
net/http/khttptoken.c
View file

@ -18,27 +18,27 @@
╚─────────────────────────────────────────────────────────────────────────────*/
#include "net/http/escape.h"
// generated by:
// o//tool/build/xlat.com -TiC ' ()<>@,;:\"/[]?={}' -iskHttpToken
// generated by:
// o//tool/build/xlat.com -TiC ' ()<>@,;:\"/[]?={}' -iskHttpToken
//
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ! #$%&‘ *+ -. ␠ “ () , / 0x20
// 0123456789 :;<=>⁇ 0x30
// ABCDEFGHIJKLMNO @ 0x40
// PQRSTUVWXYZ ^_ [⭝] 0x50
// `abcdefghijklmno 0x60
// pqrstuvwxyz | ~ { } ⌂ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
// present absent
// ──────────────── ────────────────
// ∅☺☻♥♦♣♠•◘○◙♂♀♪♫☼ 0x00
// ►◄↕‼¶§▬↨↑↓→←∟↔▲▼ 0x10
// ! #$%&‘ *+ -. ␠ “ () , / 0x20
// 0123456789 :;<=>⁇ 0x30
// ABCDEFGHIJKLMNO @ 0x40
// PQRSTUVWXYZ ^_ [⭝] 0x50
// `abcdefghijklmno 0x60
// pqrstuvwxyz | ~ { } ⌂ 0x70
// ÇüéâäàåçêëèïîìÄÅ 0x80
// ÉæÆôöòûùÿÖÜ¢£¥€ƒ 0x90
// áíóúñѪº¿⌐¬½¼¡«» 0xa0
// ░▒▓│┤╡╢╖╕╣║╗╝╜╛┐ 0xb0
// └┴┬├─┼╞╟╚╔╩╦╠═╬╧ 0xc0
// ╨╤╥╙╘╒╓╫╪┘┌█▄▌▐▀ 0xd0
// αßΓπΣσμτΦΘΩδ∞φε∩ 0xe0
// ≡±≥≤⌠⌡÷≈°∙×√ⁿ²■λ 0xf0
const char kHttpToken[256] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 0x00
@ -59,14 +59,14 @@ const char kHttpToken[256] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 0xf0
};
// @see RFC2616
// CHAR = <any US-ASCII character (octets 0 - 127)>
// SP = <US-ASCII SP, space (32)>
// HT = <US-ASCII HT, horizontal-tab (9)>
// CTL = <any US-ASCII control character
// (octets 0 - 31) and DEL (127)>
// token = 1*<any CHAR except CTLs or separators>
// separators = "(" | ")" | "<" | ">" | "@"
// | "," | ";" | ":" | "\" | <">
// | "/" | "[" | "]" | "?" | "="
// | "{" | "}" | SP | HT
// @see RFC2616
// CHAR = <any US-ASCII character (octets 0 - 127)>
// SP = <US-ASCII SP, space (32)>
// HT = <US-ASCII HT, horizontal-tab (9)>
// CTL = <any US-ASCII control character
// (octets 0 - 31) and DEL (127)>
// token = 1*<any CHAR except CTLs or separators>
// separators = "(" | ")" | "<" | ">" | "@"
// | "," | ";" | ":" | "\" | <">
// | "/" | "[" | "]" | "?" | "="
// | "{" | "}" | SP | HT