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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 17:32:43 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 17:32:43 +0000
commit6bf0a5cb5034a7e684dcc3500e841785237ce2dd (patch)
treea68f146d7fa01f0134297619fbe7e33db084e0aa /modules/fdlibm/patches/04_include_fdlibm_h_from_math_private_h.patch
parentInitial commit. (diff)
downloadthunderbird-6bf0a5cb5034a7e684dcc3500e841785237ce2dd.tar.xz
thunderbird-6bf0a5cb5034a7e684dcc3500e841785237ce2dd.zip
Adding upstream version 1:115.7.0.upstream/1%115.7.0upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'modules/fdlibm/patches/04_include_fdlibm_h_from_math_private_h.patch')
-rw-r--r--modules/fdlibm/patches/04_include_fdlibm_h_from_math_private_h.patch1214
1 files changed, 1214 insertions, 0 deletions
diff --git a/modules/fdlibm/patches/04_include_fdlibm_h_from_math_private_h.patch b/modules/fdlibm/patches/04_include_fdlibm_h_from_math_private_h.patch
new file mode 100644
index 0000000000..8531976f89
--- /dev/null
+++ b/modules/fdlibm/patches/04_include_fdlibm_h_from_math_private_h.patch
@@ -0,0 +1,1214 @@
+diff --git a/e_acos.cpp b/e_acos.cpp
+--- a/e_acos.cpp
++++ b/e_acos.cpp
+@@ -35,17 +35,16 @@ __FBSDID("$FreeBSD$");
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: sqrt
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+ pio2_hi = 1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
+ static volatile double
+ pio2_lo = 6.12323399573676603587e-17; /* 0x3C91A626, 0x33145C07 */
+diff --git a/e_acosh.cpp b/e_acosh.cpp
+--- a/e_acosh.cpp
++++ b/e_acosh.cpp
+@@ -26,17 +26,16 @@ __FBSDID("$FreeBSD$");
+ *
+ * Special cases:
+ * acosh(x) is NaN with signal if x<1.
+ * acosh(NaN) is NaN without signal.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one = 1.0,
+ ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
+
+ double
+ __ieee754_acosh(double x)
+diff --git a/e_asin.cpp b/e_asin.cpp
+--- a/e_asin.cpp
++++ b/e_asin.cpp
+@@ -41,17 +41,16 @@ __FBSDID("$FreeBSD$");
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ huge = 1.000e+300,
+ pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+ pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+ pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+diff --git a/e_atan2.cpp b/e_atan2.cpp
+--- a/e_atan2.cpp
++++ b/e_atan2.cpp
+@@ -39,17 +39,16 @@ __FBSDID("$FreeBSD$");
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static volatile double
+ tiny = 1.0e-300;
+ static const double
+ zero = 0.0,
+ pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
+ pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
+diff --git a/e_atanh.cpp b/e_atanh.cpp
+--- a/e_atanh.cpp
++++ b/e_atanh.cpp
+@@ -30,17 +30,16 @@ __FBSDID("$FreeBSD$");
+ * atanh(x) is NaN if |x| > 1 with signal;
+ * atanh(NaN) is that NaN with no signal;
+ * atanh(+-1) is +-INF with signal.
+ *
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double one = 1.0, huge = 1e300;
+ static const double zero = 0.0;
+
+ double
+ __ieee754_atanh(double x)
+ {
+diff --git a/e_cosh.cpp b/e_cosh.cpp
+--- a/e_cosh.cpp
++++ b/e_cosh.cpp
+@@ -32,17 +32,16 @@ __FBSDID("$FreeBSD$");
+ *
+ * Special cases:
+ * cosh(x) is |x| if x is +INF, -INF, or NaN.
+ * only cosh(0)=1 is exact for finite x.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double one = 1.0, half=0.5, huge = 1.0e300;
+
+ double
+ __ieee754_cosh(double x)
+ {
+ double t,w;
+diff --git a/e_exp.cpp b/e_exp.cpp
+--- a/e_exp.cpp
++++ b/e_exp.cpp
+@@ -73,17 +73,16 @@ __FBSDID("$FreeBSD$");
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one = 1.0,
+ halF[2] = {0.5,-0.5,},
+ o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+ u_threshold= -7.45133219101941108420e+02, /* 0xc0874910, 0xD52D3051 */
+ ln2HI[2] ={ 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
+diff --git a/e_hypot.cpp b/e_hypot.cpp
+--- a/e_hypot.cpp
++++ b/e_hypot.cpp
+@@ -43,17 +43,16 @@ __FBSDID("$FreeBSD$");
+ *
+ * Accuracy:
+ * hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ double
+ __ieee754_hypot(double x, double y)
+ {
+ double a,b,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+diff --git a/e_log.cpp b/e_log.cpp
+--- a/e_log.cpp
++++ b/e_log.cpp
+@@ -62,17 +62,16 @@ __FBSDID("$FreeBSD$");
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+ two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+ Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+ Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+diff --git a/e_log10.cpp b/e_log10.cpp
+--- a/e_log10.cpp
++++ b/e_log10.cpp
+@@ -19,17 +19,16 @@ __FBSDID("$FreeBSD$");
+ * comments.
+ *
+ * log10(x) = (f - 0.5*f*f + k_log1p(f)) / ln10 + k * log10(2)
+ * in not-quite-routine extra precision.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+ #include "k_log.h"
+
+ static const double
+ two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ ivln10hi = 4.34294481878168880939e-01, /* 0x3fdbcb7b, 0x15200000 */
+ ivln10lo = 2.50829467116452752298e-11, /* 0x3dbb9438, 0xca9aadd5 */
+ log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */
+diff --git a/e_log2.cpp b/e_log2.cpp
+--- a/e_log2.cpp
++++ b/e_log2.cpp
+@@ -21,17 +21,16 @@ __FBSDID("$FreeBSD$");
+ * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel,
+ * then does the combining and scaling steps
+ * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k
+ * in not-quite-routine extra precision.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+ #include "k_log.h"
+
+ static const double
+ two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ ivln2hi = 1.44269504072144627571e+00, /* 0x3ff71547, 0x65200000 */
+ ivln2lo = 1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */
+
+diff --git a/e_pow.cpp b/e_pow.cpp
+--- a/e_pow.cpp
++++ b/e_pow.cpp
+@@ -53,17 +53,16 @@ __FBSDID("$FreeBSD$");
+ * Constants :
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ bp[] = {1.0, 1.5,},
+ dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+ dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+ zero = 0.0,
+ half = 0.5,
+diff --git a/e_rem_pio2.cpp b/e_rem_pio2.cpp
+--- a/e_rem_pio2.cpp
++++ b/e_rem_pio2.cpp
+@@ -19,17 +19,16 @@ __FBSDID("$FreeBSD$");
+ /* __ieee754_rem_pio2(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2()
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ /*
+ * invpio2: 53 bits of 2/pi
+ * pio2_1: first 33 bit of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 33 bit of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+diff --git a/e_sinh.cpp b/e_sinh.cpp
+--- a/e_sinh.cpp
++++ b/e_sinh.cpp
+@@ -29,17 +29,16 @@ __FBSDID("$FreeBSD$");
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinh(0)=0 is exact for finite x.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double one = 1.0, shuge = 1.0e307;
+
+ double
+ __ieee754_sinh(double x)
+ {
+ double t,h;
+diff --git a/k_cos.cpp b/k_cos.cpp
+--- a/k_cos.cpp
++++ b/k_cos.cpp
+@@ -48,17 +48,16 @@ __FBSDID("$FreeBSD$");
+ * and tmp having the same precision as x. If they have extra
+ * precision due to compiler bugs, then the extra precision is
+ * only good provided it is retained in all terms of the final
+ * expression for cos(). Retention happens in all cases tested
+ * under FreeBSD, so don't pessimize things by forcibly clipping
+ * any extra precision in w.
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+ C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+ C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+ C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+diff --git a/k_exp.cpp b/k_exp.cpp
+--- a/k_exp.cpp
++++ b/k_exp.cpp
+@@ -26,17 +26,16 @@
+ * SUCH DAMAGE.
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <complex.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const uint32_t k = 1799; /* constant for reduction */
+ static const double kln2 = 1246.97177782734161156; /* k * ln2 */
+
+ /*
+ * Compute exp(x), scaled to avoid spurious overflow. An exponent is
+ * returned separately in 'expt'.
+diff --git a/k_rem_pio2.cpp b/k_rem_pio2.cpp
+--- a/k_rem_pio2.cpp
++++ b/k_rem_pio2.cpp
+@@ -126,17 +126,16 @@ __FBSDID("$FreeBSD$");
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const int init_jk[] = {3,4,4,6}; /* initial value for jk */
+
+ /*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ *
+ * integer array, contains the (24*i)-th to (24*i+23)-th
+diff --git a/k_sin.cpp b/k_sin.cpp
+--- a/k_sin.cpp
++++ b/k_sin.cpp
+@@ -39,17 +39,16 @@ __FBSDID("$FreeBSD$");
+ * ~ sin(x) + (1-x*x/2)*y
+ * For better accuracy, let
+ * 3 2 2 2 2
+ * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6))))
+ * then 3 2
+ * sin(x) = x + (S1*x + (x *(r-y/2)+y))
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+ S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+ S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+ S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+ S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+diff --git a/k_tan.cpp b/k_tan.cpp
+--- a/k_tan.cpp
++++ b/k_tan.cpp
+@@ -44,17 +44,16 @@ __FBSDID("$FreeBSD$");
+ * 3 2
+ * tan(x+y) = x + (T1*x + (x *(r+y)+y))
+ *
+ * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then
+ * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y))
+ * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y)))
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+ static const double xxx[] = {
+ 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 */
+diff --git a/math_private.h b/math_private.h
+--- a/math_private.h
++++ b/math_private.h
+@@ -15,16 +15,18 @@
+ */
+
+ #ifndef _MATH_PRIVATE_H_
+ #define _MATH_PRIVATE_H_
+
+ #include <sys/types.h>
+ #include <machine/endian.h>
+
++#include "fdlibm.h"
++
+ /*
+ * The original fdlibm code used statements like:
+ * n0 = ((*(int*)&one)>>29)^1; * index of high word *
+ * ix0 = *(n0+(int*)&x); * high word of x *
+ * ix1 = *((1-n0)+(int*)&x); * low word of x *
+ * to dig two 32 bit words out of the 64 bit IEEE floating point
+ * value. That is non-ANSI, and, moreover, the gcc instruction
+ * scheduler gets it wrong. We instead use the following macros.
+diff --git a/s_asinh.cpp b/s_asinh.cpp
+--- a/s_asinh.cpp
++++ b/s_asinh.cpp
+@@ -21,17 +21,16 @@ __FBSDID("$FreeBSD$");
+ * asinh(x) := x if 1+x*x=1,
+ * := sign(x)*(log(x)+ln2)) for large |x|, else
+ * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
+ * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+ huge= 1.00000000000000000000e+300;
+
+ double
+diff --git a/s_atan.cpp b/s_atan.cpp
+--- a/s_atan.cpp
++++ b/s_atan.cpp
+@@ -30,17 +30,16 @@ __FBSDID("$FreeBSD$");
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double atanhi[] = {
+ 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
+ 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
+ 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
+ 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
+ };
+diff --git a/s_cbrt.cpp b/s_cbrt.cpp
+--- a/s_cbrt.cpp
++++ b/s_cbrt.cpp
+@@ -11,17 +11,16 @@
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+-#include "math.h"
+ #include "math_private.h"
+
+ /* cbrt(x)
+ * Return cube root of x
+ */
+ static const u_int32_t
+ B1 = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */
+ B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */
+diff --git a/s_ceil.cpp b/s_ceil.cpp
+--- a/s_ceil.cpp
++++ b/s_ceil.cpp
+@@ -19,17 +19,16 @@ __FBSDID("$FreeBSD$");
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceil(x).
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double huge = 1.0e300;
+
+ double
+ ceil(double x)
+ {
+ int32_t i0,i1,j0;
+diff --git a/s_ceilf.cpp b/s_ceilf.cpp
+--- a/s_ceilf.cpp
++++ b/s_ceilf.cpp
+@@ -11,17 +11,16 @@
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float huge = 1.0e30;
+
+ float
+ ceilf(float x)
+ {
+ int32_t i0,j0;
+diff --git a/s_copysign.cpp b/s_copysign.cpp
+--- a/s_copysign.cpp
++++ b/s_copysign.cpp
+@@ -14,17 +14,16 @@
+ __FBSDID("$FreeBSD$");
+
+ /*
+ * copysign(double x, double y)
+ * copysign(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ double
+ copysign(double x, double y)
+ {
+ u_int32_t hx,hy;
+ GET_HIGH_WORD(hx,x);
+ GET_HIGH_WORD(hy,y);
+diff --git a/s_cos.cpp b/s_cos.cpp
+--- a/s_cos.cpp
++++ b/s_cos.cpp
+@@ -41,17 +41,16 @@ __FBSDID("$FreeBSD$");
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #define INLINE_REM_PIO2
+ #include "math_private.h"
+ #include "e_rem_pio2.c"
+
+ double
+ cos(double x)
+ {
+ double y[2],z=0.0;
+diff --git a/s_expm1.cpp b/s_expm1.cpp
+--- a/s_expm1.cpp
++++ b/s_expm1.cpp
+@@ -105,17 +105,16 @@ __FBSDID("$FreeBSD$");
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ one = 1.0,
+ tiny = 1.0e-300,
+ o_threshold = 7.09782712893383973096e+02,/* 0x40862E42, 0xFEFA39EF */
+ ln2_hi = 6.93147180369123816490e-01,/* 0x3fe62e42, 0xfee00000 */
+ ln2_lo = 1.90821492927058770002e-10,/* 0x3dea39ef, 0x35793c76 */
+diff --git a/s_fabs.cpp b/s_fabs.cpp
+--- a/s_fabs.cpp
++++ b/s_fabs.cpp
+@@ -12,17 +12,16 @@
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ /*
+ * fabs(x) returns the absolute value of x.
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ double
+ fabs(double x)
+ {
+ u_int32_t high;
+ GET_HIGH_WORD(high,x);
+ SET_HIGH_WORD(x,high&0x7fffffff);
+diff --git a/s_floor.cpp b/s_floor.cpp
+--- a/s_floor.cpp
++++ b/s_floor.cpp
+@@ -19,17 +19,16 @@ __FBSDID("$FreeBSD$");
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floor(x).
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double huge = 1.0e300;
+
+ double
+ floor(double x)
+ {
+ int32_t i0,i1,j0;
+diff --git a/s_floorf.cpp b/s_floorf.cpp
+--- a/s_floorf.cpp
++++ b/s_floorf.cpp
+@@ -20,17 +20,16 @@ __FBSDID("$FreeBSD$");
+ * floorf(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floorf(x).
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float huge = 1.0e30;
+
+ float
+ floorf(float x)
+ {
+ int32_t i0,j0;
+diff --git a/s_log1p.cpp b/s_log1p.cpp
+--- a/s_log1p.cpp
++++ b/s_log1p.cpp
+@@ -75,17 +75,16 @@ __FBSDID("$FreeBSD$");
+ * if(u==1.0) return x ; else
+ * return log(u)*(x/(u-1.0));
+ *
+ * See HP-15C Advanced Functions Handbook, p.193.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+ two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+ Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+ Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+diff --git a/s_nearbyint.cpp b/s_nearbyint.cpp
+--- a/s_nearbyint.cpp
++++ b/s_nearbyint.cpp
+@@ -25,17 +25,18 @@
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <fenv.h>
+-#include <math.h>
++
++#include "math_private.h"
+
+ /*
+ * We save and restore the floating-point environment to avoid raising
+ * an inexact exception. We can get away with using fesetenv()
+ * instead of feclearexcept()/feupdateenv() to restore the environment
+ * because the only exception defined for rint() is overflow, and
+ * rounding can't overflow as long as emax >= p.
+ *
+diff --git a/s_rint.cpp b/s_rint.cpp
+--- a/s_rint.cpp
++++ b/s_rint.cpp
+@@ -20,17 +20,16 @@ __FBSDID("$FreeBSD$");
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rint(x).
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double
+ TWO52[2]={
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+ };
+
+diff --git a/s_rintf.cpp b/s_rintf.cpp
+--- a/s_rintf.cpp
++++ b/s_rintf.cpp
+@@ -14,17 +14,16 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+ #include <stdint.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float
+ TWO23[2]={
+ 8.3886080000e+06, /* 0x4b000000 */
+ -8.3886080000e+06, /* 0xcb000000 */
+ };
+
+diff --git a/s_scalbn.cpp b/s_scalbn.cpp
+--- a/s_scalbn.cpp
++++ b/s_scalbn.cpp
+@@ -2,19 +2,20 @@
+ * Copyright (c) 2005-2020 Rich Felker, et al.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Please see https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT
+ * for all contributors to musl.
+ */
+ #include <float.h>
+-#include <math.h>
+ #include <stdint.h>
+
++#include "math_private.h"
++
+ double scalbn(double x, int n)
+ {
+ union {double f; uint64_t i;} u;
+ double_t y = x;
+
+ if (n > 1023) {
+ y *= 0x1p1023;
+ n -= 1023;
+diff --git a/s_scalbnf.cpp b/s_scalbnf.cpp
+--- a/s_scalbnf.cpp
++++ b/s_scalbnf.cpp
+@@ -8,16 +4,17 @@
+ * SPDX-License-Identifier: MIT
+ *
+ * Please see https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT
+ * for all contributors to musl.
+ */
+-#include <math.h>
+ #include <stdint.h>
+
++#include "math_private.h"
++
+ float scalbnf(float x, int n)
+ {
+ union {float f; uint32_t i;} u;
+ float_t y = x;
+
+ if (n > 127) {
+ y *= 0x1p127f;
+ n -= 127;
+diff --git a/s_sin.cpp b/s_sin.cpp
+--- a/s_sin.cpp
++++ b/s_sin.cpp
+@@ -41,17 +41,16 @@ __FBSDID("$FreeBSD$");
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #define INLINE_REM_PIO2
+ #include "math_private.h"
+ #include "e_rem_pio2.c"
+
+ double
+ sin(double x)
+ {
+ double y[2],z=0.0;
+diff --git a/s_tan.cpp b/s_tan.cpp
+--- a/s_tan.cpp
++++ b/s_tan.cpp
+@@ -40,17 +40,16 @@ __FBSDID("$FreeBSD$");
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #define INLINE_REM_PIO2
+ #include "math_private.h"
+ #include "e_rem_pio2.c"
+
+ double
+ tan(double x)
+ {
+ double y[2],z=0.0;
+diff --git a/s_tanh.cpp b/s_tanh.cpp
+--- a/s_tanh.cpp
++++ b/s_tanh.cpp
+@@ -34,17 +34,16 @@ __FBSDID("$FreeBSD$");
+ *
+ * Special cases:
+ * tanh(NaN) is NaN;
+ * only tanh(0)=0 is exact for finite argument.
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const volatile double tiny = 1.0e-300;
+ static const double one = 1.0, two = 2.0, huge = 1.0e300;
+
+ double
+ tanh(double x)
+ {
+diff --git a/s_trunc.cpp b/s_trunc.cpp
+--- a/s_trunc.cpp
++++ b/s_trunc.cpp
+@@ -19,17 +19,16 @@ __FBSDID("$FreeBSD$");
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to trunc(x).
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const double huge = 1.0e300;
+
+ double
+ trunc(double x)
+ {
+ int32_t i0,i1,j0;
+diff --git a/s_truncf.cpp b/s_truncf.cpp
+--- a/s_truncf.cpp
++++ b/s_truncf.cpp
+@@ -17,17 +17,16 @@ __FBSDID("$FreeBSD$");
+ * truncf(x)
+ * Return x rounded toward 0 to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to truncf(x).
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float huge = 1.0e30F;
+
+ float
+ truncf(float x)
+ {
+ int32_t i0,j0;
+--- a/e_acosf.cpp 2022-12-11 21:15:50.058431053 -0500
++++ b/e_acosf.cpp_new 2022-12-11 21:13:10.532515637 -0500
+@@ -12,15 +12,14 @@
+ * is preserved.
+ * ====================================================
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float
+ one = 1.0000000000e+00, /* 0x3F800000 */
+ pi = 3.1415925026e+00, /* 0x40490fda */
+ pio2_hi = 1.5707962513e+00; /* 0x3fc90fda */
+ static volatile float
+--- a/e_asinf.cpp 2022-12-11 21:15:50.486437124 -0500
++++ b/e_asinf.cpp_new 2022-12-11 21:13:07.876498396 -0500
+@@ -12,15 +12,14 @@
+ * is preserved.
+ * ====================================================
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float
+ one = 1.0000000000e+00, /* 0x3F800000 */
+ huge = 1.000e+30,
+ /* coefficient for R(x^2) */
+ pS0 = 1.6666586697e-01,
+--- a/e_expf.cpp 2022-12-11 21:15:51.250447960 -0500
++++ b/e_expf.cpp_new 2022-12-11 21:13:05.212481099 -0500
+@@ -14,15 +14,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float
+ one = 1.0,
+ halF[2] = {0.5,-0.5,},
+ o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+ u_threshold= -1.0397208405e+02, /* 0xc2cff1b5 */
+--- a/e_logf.cpp 2022-12-11 21:15:51.978458278 -0500
++++ b/e_logf.cpp_new 2022-12-11 21:13:02.644464418 -0500
+@@ -12,15 +12,14 @@
+ * is preserved.
+ * ====================================================
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float
+ ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+ two25 = 3.355443200e+07, /* 0x4c000000 */
+ /* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
+--- a/e_powf.cpp 2022-12-11 21:15:52.242462016 -0500
++++ b/e_powf.cpp_new 2022-12-11 21:13:00.164448306 -0500
+@@ -12,15 +12,14 @@
+ * is preserved.
+ * ====================================================
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float
+ bp[] = {1.0, 1.5,},
+ dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
+ dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
+ zero = 0.0,
+--- a/e_rem_pio2f.cpp 2022-12-11 21:15:52.626467454 -0500
++++ b/e_rem_pio2f.cpp_new 2022-12-11 21:12:57.300429693 -0500
+@@ -22,15 +22,14 @@
+ * return the remainder of x rem pi/2 in *y
+ * use double precision for everything except passing x
+ * use __kernel_rem_pio2() for large x
+ */
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ /*
+ * invpio2: 53 bits of 2/pi
+ * pio2_1: first 25 bits of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ */
+--- a/e_sqrtf.cpp 2022-12-11 21:15:52.922471645 -0500
++++ b/e_sqrtf.cpp_new 2022-12-11 21:12:54.596412113 -0500
+@@ -13,15 +13,14 @@
+ * ====================================================
+ */
+
+ #ifndef lint
+ static char rcsid[] = "$FreeBSD$";
+ #endif
+
+-#include "math.h"
+ #include "math_private.h"
+
+ #ifdef USE_BUILTIN_SQRTF
+ float
+ __ieee754_sqrtf(float x)
+ {
+ return (__builtin_sqrtf(x));
+--- a/k_cosf.cpp 2022-12-11 21:15:53.178475268 -0500
++++ b/k_cosf.cpp_new 2022-12-11 21:12:52.012395309 -0500
+@@ -15,15 +15,14 @@
+ */
+
+ #ifndef INLINE_KERNEL_COSDF
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+ #endif
+
+-#include "math.h"
+ #include "math_private.h"
+
+ /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
+ static const double
+ one = 1.0,
+ C0 = -0x1ffffffd0c5e81.0p-54, /* -0.499999997251031003120 */
+ C1 = 0x155553e1053a42.0p-57, /* 0.0416666233237390631894 */
+--- a/k_expf.cpp 2022-12-11 21:15:53.434478888 -0500
++++ b/k_expf.cpp_new 2022-12-11 21:12:49.012375792 -0500
+@@ -27,15 +27,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <complex.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const uint32_t k = 235; /* constant for reduction */
+ static const float kln2 = 162.88958740F; /* k * ln2 */
+
+ /*
+ * See k_exp.c for details.
+--- a/k_sinf.cpp 2022-12-11 21:15:53.946486130 -0500
++++ b/k_sinf.cpp_new 2022-12-11 21:12:46.020356322 -0500
+@@ -15,15 +15,14 @@
+ */
+
+ #ifndef INLINE_KERNEL_SINDF
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+ #endif
+
+-#include "math.h"
+ #include "math_private.h"
+
+ /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
+ static const double
+ S1 = -0x15555554cbac77.0p-55, /* -0.166666666416265235595 */
+ S2 = 0x111110896efbb2.0p-59, /* 0.0083333293858894631756 */
+ S3 = -0x1a00f9e2cae774.0p-65, /* -0.000198393348360966317347 */
+--- a/k_tanf.cpp 2022-12-11 21:15:54.254490484 -0500
++++ b/k_tanf.cpp_new 2022-12-11 21:12:42.972336479 -0500
+@@ -14,15 +14,14 @@
+ */
+
+ #ifndef INLINE_KERNEL_TANDF
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+ #endif
+
+-#include "math.h"
+ #include "math_private.h"
+
+ /* |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]). */
+ static const double
+ T[] = {
+ 0x15554d3418c99f.0p-54, /* 0.333331395030791399758 */
+ 0x1112fd38999f72.0p-55, /* 0.133392002712976742718 */
+--- a/s_atanf.cpp 2022-12-11 21:15:54.670496364 -0500
++++ b/s_atanf.cpp_new 2022-12-11 21:12:39.940316733 -0500
+@@ -12,15 +12,14 @@
+ * is preserved.
+ * ====================================================
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+-#include "math.h"
+ #include "math_private.h"
+
+ static const float atanhi[] = {
+ 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
+ 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
+ 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
+ 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
+--- a/s_cosf.cpp 2022-12-11 21:15:55.494508001 -0500
++++ b/s_cosf.cpp_new 2022-12-11 21:12:37.396300160 -0500
+@@ -15,15 +15,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+
+-#include "math.h"
+ #define INLINE_KERNEL_COSDF
+ #define INLINE_KERNEL_SINDF
+ #define INLINE_REM_PIO2F
+ #include "math_private.h"
+ #include "e_rem_pio2f.c"
+ #include "k_cosf.c"
+ #include "k_sinf.c"
+--- a/s_exp2.cpp 2022-12-11 21:15:55.790512181 -0500
++++ b/s_exp2.cpp_new 2022-12-11 21:12:34.476281131 -0500
+@@ -27,15 +27,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ #define TBLBITS 8
+ #define TBLSIZE (1 << TBLBITS)
+
+ static const double
+ redux = 0x1.8p52 / TBLSIZE,
+--- a/s_exp2f.cpp 2022-12-11 21:15:55.926514101 -0500
++++ b/s_exp2f.cpp_new 2022-12-11 21:12:30.644256149 -0500
+@@ -27,15 +27,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+
+-#include "math.h"
+ #include "math_private.h"
+
+ #define TBLBITS 4
+ #define TBLSIZE (1 << TBLBITS)
+
+ static const float
+ redux = 0x1.8p23f / TBLSIZE,
+--- a/s_fabsf.cpp 2022-12-11 21:15:56.202517995 -0500
++++ b/s_fabsf.cpp_new 2022-12-11 21:12:27.244233973 -0500
+@@ -16,15 +16,14 @@
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ /*
+ * fabsf(x) returns the absolute value of x.
+ */
+
+-#include "math.h"
+ #include "math_private.h"
+
+ float
+ fabsf(float x)
+ {
+ u_int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+--- a/s_sinf.cpp 2022-12-11 21:15:57.618537960 -0500
++++ b/s_sinf.cpp_new 2022-12-11 21:12:24.684217270 -0500
+@@ -15,15 +15,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+
+-#include "math.h"
+ #define INLINE_KERNEL_COSDF
+ #define INLINE_KERNEL_SINDF
+ #define INLINE_REM_PIO2F
+ #include "math_private.h"
+ #include "e_rem_pio2f.c"
+ #include "k_cosf.c"
+ #include "k_sinf.c"
+--- a/s_tanf.cpp 2022-12-11 21:15:57.930542357 -0500
++++ b/s_tanf.cpp_new 2022-12-11 21:12:20.420189437 -0500
+@@ -15,15 +15,14 @@
+ */
+
+ #include <sys/cdefs.h>
+ __FBSDID("$FreeBSD$");
+
+ #include <float.h>
+
+-#include "math.h"
+ #define INLINE_KERNEL_TANDF
+ #define INLINE_REM_PIO2F
+ #include "math_private.h"
+ #include "e_rem_pio2f.c"
+ #include "k_tanf.c"
+
+ /* Small multiples of pi/2 rounded to double precision. */