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-rw-r--r--SHARED-FILES4
-rw-r--r--sysdeps/aarch64/libm-test-ulps4
-rw-r--r--sysdeps/arc/fpu/libm-test-ulps4
-rw-r--r--sysdeps/arc/nofpu/libm-test-ulps1
-rw-r--r--sysdeps/arm/libm-test-ulps4
-rw-r--r--sysdeps/hppa/fpu/libm-test-ulps4
-rw-r--r--sysdeps/i386/fpu/libm-test-ulps4
-rw-r--r--sysdeps/i386/i686/fpu/multiarch/libm-test-ulps4
-rw-r--r--sysdeps/ieee754/flt-32/s_atan2pif.c238
-rw-r--r--sysdeps/loongarch/lp64/libm-test-ulps4
-rw-r--r--sysdeps/mips/mips64/libm-test-ulps4
-rw-r--r--sysdeps/or1k/fpu/libm-test-ulps4
-rw-r--r--sysdeps/or1k/nofpu/libm-test-ulps1
-rw-r--r--sysdeps/powerpc/fpu/libm-test-ulps4
-rw-r--r--sysdeps/riscv/nofpu/libm-test-ulps1
-rw-r--r--sysdeps/riscv/rvd/libm-test-ulps4
-rw-r--r--sysdeps/s390/fpu/libm-test-ulps4
-rw-r--r--sysdeps/sparc/fpu/libm-test-ulps4
-rw-r--r--sysdeps/x86_64/fpu/libm-test-ulps4
19 files changed, 242 insertions, 59 deletions
diff --git a/SHARED-FILES b/SHARED-FILES
index e700f4b..b403a2a 100644
--- a/SHARED-FILES
+++ b/SHARED-FILES
@@ -342,3 +342,7 @@ sysdeps/ieee754/flt-32/s_asinpif.c:
(src/binary32/asinpi/asinpif.c in CORE-MATH)
- the code was adapted to use glibc code style and internal
functions to handle errno, overflow, and underflow.
+sysdeps/ieee754/flt-32/s_atan2pif.c:
+ (src/binary32/atan2pi/atan2pif.c in CORE-MATH)
+ - the code was adapted to use glibc code style and internal
+ functions to handle errno, overflow, and underflow.
diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps
index abb0611..be29b37 100644
--- a/sysdeps/aarch64/libm-test-ulps
+++ b/sysdeps/aarch64/libm-test-ulps
@@ -158,22 +158,18 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 2
ldouble: 2
Function: "atan_advsimd":
diff --git a/sysdeps/arc/fpu/libm-test-ulps b/sysdeps/arc/fpu/libm-test-ulps
index 35aebba..1383c88 100644
--- a/sysdeps/arc/fpu/libm-test-ulps
+++ b/sysdeps/arc/fpu/libm-test-ulps
@@ -90,19 +90,15 @@ double: 8
Function: "atan2pi":
double: 1
-float: 1
Function: "atan2pi_downward":
double: 1
-float: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
Function: "atan2pi_upward":
double: 1
-float: 2
Function: "atan_downward":
double: 1
diff --git a/sysdeps/arc/nofpu/libm-test-ulps b/sysdeps/arc/nofpu/libm-test-ulps
index 325546e..9028f5c 100644
--- a/sysdeps/arc/nofpu/libm-test-ulps
+++ b/sysdeps/arc/nofpu/libm-test-ulps
@@ -24,7 +24,6 @@ double: 1
Function: "atan2pi":
double: 1
-float: 1
Function: "atanh":
double: 2
diff --git a/sysdeps/arm/libm-test-ulps b/sysdeps/arm/libm-test-ulps
index 0927fdb..e1c538f 100644
--- a/sysdeps/arm/libm-test-ulps
+++ b/sysdeps/arm/libm-test-ulps
@@ -87,19 +87,15 @@ double: 1
Function: "atan2pi":
double: 1
-float: 1
Function: "atan2pi_downward":
double: 1
-float: 3
Function: "atan2pi_towardzero":
double: 1
-float: 2
Function: "atan2pi_upward":
double: 1
-float: 3
Function: "atan_downward":
double: 1
diff --git a/sysdeps/hppa/fpu/libm-test-ulps b/sysdeps/hppa/fpu/libm-test-ulps
index 02cc3b5..796da7b 100644
--- a/sysdeps/hppa/fpu/libm-test-ulps
+++ b/sysdeps/hppa/fpu/libm-test-ulps
@@ -87,19 +87,15 @@ double: 1
Function: "atan2pi":
double: 1
-float: 1
Function: "atan2pi_downward":
double: 1
-float: 3
Function: "atan2pi_towardzero":
double: 1
-float: 2
Function: "atan2pi_upward":
double: 1
-float: 3
Function: "atan_downward":
double: 1
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index 69d0eb1..4f687c7 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -146,25 +146,21 @@ ldouble: 1
Function: "atan2pi":
double: 1
-float: 1
float128: 3
ldouble: 1
Function: "atan2pi_downward":
double: 2
-float: 2
float128: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
float128: 2
ldouble: 2
Function: "atan2pi_upward":
double: 2
-float: 2
float128: 2
ldouble: 2
diff --git a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
index 392d7d2..f24c87b 100644
--- a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
+++ b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
@@ -146,25 +146,21 @@ ldouble: 1
Function: "atan2pi":
double: 1
-float: 1
float128: 3
ldouble: 2
Function: "atan2pi_downward":
double: 2
-float: 2
float128: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
float128: 2
ldouble: 2
Function: "atan2pi_upward":
double: 2
-float: 2
float128: 2
ldouble: 2
diff --git a/sysdeps/ieee754/flt-32/s_atan2pif.c b/sysdeps/ieee754/flt-32/s_atan2pif.c
new file mode 100644
index 0000000..8c9cbc13
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_atan2pif.c
@@ -0,0 +1,238 @@
+/* Correctly-rounded half revolution arctangent function of two binary32 values.
+
+Copyright (c) 2022-2025 Alexei Sibidanov.
+
+The original version of this file was copied from the CORE-MATH
+project (file src/binary32/atan2pi/atan2pif.c, revision dbebee1).
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+
+*/
+
+#include <math.h>
+#include <stdint.h>
+#include <errno.h>
+#include <libm-alias-float.h>
+#include "math_config.h"
+
+static inline double
+muldd (double xh, double xl, double ch, double cl, double *l)
+{
+ double ahlh = ch * xl;
+ double alhh = cl * xh;
+ double ahhh = ch * xh;
+ double ahhl = fma (ch, xh, -ahhh);
+ ahhl += alhh + ahlh;
+ ch = ahhh + ahhl;
+ *l = (ahhh - ch) + ahhl;
+ return ch;
+}
+
+static double
+polydd (double xh, double xl, int n, const double c[][2], double *l)
+{
+ int i = n - 1;
+ double ch = c[i][0], cl = c[i][1];
+ while (--i >= 0)
+ {
+ ch = muldd (xh, xl, ch, cl, &cl);
+ double th = ch + c[i][0], tl = (c[i][0] - th) + ch;
+ ch = th;
+ cl += tl + c[i][1];
+ }
+ *l = cl;
+ return ch;
+}
+
+float
+__atan2pif (float y, float x)
+{
+ static const double cn[] =
+ {
+ 0x1.45f306dc9c883p-2, 0x1.988d83a142adap-1, 0x1.747bebf492057p-1,
+ 0x1.2cc5645094ff3p-2, 0x1.a0521c711ab66p-5, 0x1.881b8058b9a0dp-9,
+ 0x1.b16ff514a0afp-16
+ };
+ static const double cd[] =
+ {
+ 0x1p+0, 0x1.6b8b143a3f6dap+1, 0x1.8421201d18ed5p+1,
+ 0x1.8221d086914ebp+0, 0x1.670657e3a07bap-2, 0x1.0f4951fd1e72dp-5,
+ 0x1.b3874b8798286p-11
+ };
+ static const double m[] = { 0, 1 };
+ static const double off[]
+ = { 0.0f, 0.5f, 1.0f, 0.5f, -0.0f, -0.5f, -1.0f, -0.5f };
+ static const float sgnf[] = { 1, -1 };
+ static const double sgn[] = { 1, -1 };
+ uint32_t ux = asuint (x);
+ uint32_t uy = asuint (y);
+ uint32_t ax = ux & (~0u >> 1);
+ uint32_t ay = uy & (~0u >> 1);
+ if (__glibc_unlikely (ay >= (0xff << 23) || ax >= (0xff << 23)))
+ {
+ if (ay > (0xff << 23))
+ return x + y; /* nan */
+ if (ax > (0xff << 23))
+ return x + y; /* nan */
+ uint32_t yinf = ay == (0xff << 23);
+ uint32_t xinf = ax == (0xff << 23);
+ if (yinf & xinf)
+ {
+ if (ux >> 31)
+ return 0.75f * sgnf[uy >> 31];
+ else
+ return 0.25f * sgnf[uy >> 31];
+ }
+ if (xinf)
+ {
+ if (ux >> 31)
+ return sgnf[uy >> 31];
+ else
+ return 0.0f * sgnf[uy >> 31];
+ }
+ if (yinf)
+ return 0.5f * sgnf[uy >> 31];
+ }
+ if (__glibc_unlikely (ay == 0))
+ {
+ if (__glibc_unlikely (!(ay | ax)))
+ {
+ uint32_t i = (uy >> 31) * 4 + (ux >> 31) * 2;
+ return off[i];
+ }
+ if (!(ux >> 31))
+ return 0.0f * sgnf[uy >> 31];
+ }
+ if (__glibc_unlikely (ax == ay))
+ {
+ static const float s[] = { 0.25, 0.75, -0.25, -0.75 };
+ uint32_t i = (uy >> 31) * 2 + (ux >> 31);
+ return s[i];
+ }
+ uint32_t gt = ay > ax, i = (uy >> 31) * 4 + (ux >> 31) * 2 + gt;
+
+ double zx = x, zy = y;
+ double z = (m[gt] * zx + m[1 - gt] * zy) / (m[gt] * zy + m[1 - gt] * zx);
+ double r = cn[0], z2 = z*z;
+ z *= sgn[gt];
+ /* avoid spurious underflow in the polynomial evaluation excluding extremely
+ small arguments */
+ if (__glibc_likely (z2 > 0x1p-54))
+ {
+ double z4 = z2*z2, z8 = z4*z4;
+ double cn0 = r + z2*cn[1];
+ double cn2 = cn[2] + z2*cn[3];
+ double cn4 = cn[4] + z2*cn[5];
+ double cn6 = cn[6];
+ cn0 += z4*cn2;
+ cn4 += z4*cn6;
+ cn0 += z8*cn4;
+ double cd0 = cd[0] + z2*cd[1];
+ double cd2 = cd[2] + z2*cd[3];
+ double cd4 = cd[4] + z2*cd[5];
+ double cd6 = cd[6];
+ cd0 += z4*cd2;
+ cd4 += z4*cd6;
+ cd0 += z8*cd4;
+ r = cn0/cd0;
+ }
+ r = z * r + off[i];
+ uint64_t res = asuint64 (r);
+ if (__glibc_unlikely ((res << 1) > 0x6d40000000000000
+ && ((res + 8) & 0xfffffff) <= 16))
+ {
+ if (ax == ay)
+ {
+ static const double off2[] = { 0.25, 0.75, -0.25, -0.75 };
+ r = off2[(uy >> 31) * 2 + (ux >> 31)];
+ }
+ else
+ {
+ double zh, zl;
+ if (!gt)
+ {
+ zh = zy / zx;
+ zl = fma (zh, -zx, zy) / zx;
+ }
+ else
+ {
+ zh = zx / zy;
+ zl = fma (zh, -zy, zx) / zy;
+ }
+ double z2l, z2h = muldd (zh, zl, zh, zl, &z2l);
+ static const double c[][2] =
+ {
+ { 0x1.45f306dc9c883p-2, -0x1.6b01ec5513324p-56 },
+ { -0x1.b2995e7b7b604p-4, 0x1.e402b0c13eedcp-58 },
+ { 0x1.04c26be3b06cfp-4, -0x1.571d178a53efp-60 },
+ { -0x1.7483758e69c03p-5, 0x1.819a6ed7aaf38p-63 },
+ { 0x1.21bb9452523ffp-5, -0x1.234d866fb9807p-60 },
+ { -0x1.da1bace3cc54ep-6, -0x1.c84f6ada49294p-64 },
+ { 0x1.912b1c23345ddp-6, -0x1.534890fbc165p-60 },
+ { -0x1.5bade52f5f52ap-6, 0x1.f783bafc832f6p-60 },
+ { 0x1.32c69d084c5cp-6, 0x1.042d155953025p-60 },
+ { -0x1.127bcfb3e8c7dp-6, -0x1.85aae199a7b6bp-60 },
+ { 0x1.f0af43b11a731p-7, 0x1.8f0356356663p-61 },
+ { -0x1.c57e86801029ep-7, 0x1.dcdf3e3b38eb4p-61 },
+ { 0x1.a136408617ea1p-7, 0x1.a71affb36c6c4p-63 },
+ { -0x1.824ac7814ba37p-7, 0x1.8928b295c0898p-61 },
+ { 0x1.6794e32ea5471p-7, 0x1.0b4334fb41e63p-61 },
+ { -0x1.501d57f643d97p-7, 0x1.516785bf1376ep-61 },
+ { 0x1.3adf02ff2400ap-7, -0x1.b0e30bb8c8076p-62 },
+ { -0x1.267702f94faap-7, -0x1.7a4d3a1850cc6p-62 },
+ { 0x1.10dce97099686p-7, 0x1.fcc208eee2571p-61 },
+ { -0x1.eee49cdad8002p-8, -0x1.9109b3f1bab82p-64 },
+ { 0x1.af93bc191a929p-8, 0x1.069fd3b47d7bp-62 },
+ { -0x1.6240751b54675p-8, -0x1.72dc8cfd03b6fp-62 },
+ { 0x1.0b61e84080884p-8, 0x1.825824c80941bp-63 },
+ { -0x1.6a72a8a74e3a5p-9, 0x1.8786a82fd117ep-63 },
+ { 0x1.aede3217d939dp-10, -0x1.93b626982e1fep-68 },
+ { -0x1.b66568f09ebeep-11, -0x1.704a39121d0a5p-66 },
+ { 0x1.73af3977fa973p-12, -0x1.aa050e2244ea3p-68 },
+ { -0x1.fc69d85ed28c9p-14, 0x1.867f17b764cap-68 },
+ { 0x1.0c883a9270162p-15, -0x1.6842833896dd9p-70 },
+ { -0x1.9a0b27b6dfe15p-18, 0x1.427fc2f4e1327p-73 },
+ { 0x1.91e15e7ab5bdcp-21, -0x1.730dbc6279d0dp-77 },
+ { -0x1.7b1119c1ff867p-25, 0x1.145f9980759c4p-79 }
+ };
+ double pl, ph = polydd (z2h, z2l, 32, c, &pl);
+ zh *= sgn[gt];
+ zl *= sgn[gt];
+ ph = muldd (zh, zl, ph, pl, &pl);
+ double sh = ph + off[i], sl = ((off[i] - sh) + ph) + pl;
+ float rf = sh;
+ double th = rf, dh = sh - th, tm = dh + sl;
+ r = th + tm;
+ double d = r - th;
+ if (!(asuint64 (d) << 12))
+ {
+ double ad = fabs (d), am = fabs (tm);
+ if (ad > am)
+ r -= d * 0x1p-10;
+ if (ad < am)
+ r += d * 0x1p-10;
+ }
+ }
+ }
+ float rf = r;
+ if (__glibc_unlikely (rf == 0.0f && y != 0.0f))
+ __set_errno (ERANGE);
+ return rf;
+}
+libm_alias_float (__atan2pi, atan2pi)
diff --git a/sysdeps/loongarch/lp64/libm-test-ulps b/sysdeps/loongarch/lp64/libm-test-ulps
index 33dd671..d5adc11 100644
--- a/sysdeps/loongarch/lp64/libm-test-ulps
+++ b/sysdeps/loongarch/lp64/libm-test-ulps
@@ -118,22 +118,18 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 2
ldouble: 2
Function: "atan_downward":
diff --git a/sysdeps/mips/mips64/libm-test-ulps b/sysdeps/mips/mips64/libm-test-ulps
index 869ceff..c901b00 100644
--- a/sysdeps/mips/mips64/libm-test-ulps
+++ b/sysdeps/mips/mips64/libm-test-ulps
@@ -118,22 +118,18 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 2
ldouble: 2
Function: "atan_downward":
diff --git a/sysdeps/or1k/fpu/libm-test-ulps b/sysdeps/or1k/fpu/libm-test-ulps
index 75db236..9934382 100644
--- a/sysdeps/or1k/fpu/libm-test-ulps
+++ b/sysdeps/or1k/fpu/libm-test-ulps
@@ -87,19 +87,15 @@ double: 8
Function: "atan2pi":
double: 1
-float: 1
Function: "atan2pi_downward":
double: 1
-float: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
Function: "atan2pi_upward":
double: 1
-float: 2
Function: "atan_downward":
double: 1
diff --git a/sysdeps/or1k/nofpu/libm-test-ulps b/sysdeps/or1k/nofpu/libm-test-ulps
index a1f7c80..7ff5ee4 100644
--- a/sysdeps/or1k/nofpu/libm-test-ulps
+++ b/sysdeps/or1k/nofpu/libm-test-ulps
@@ -69,7 +69,6 @@ double: 8
Function: "atan2pi":
double: 1
-float: 1
Function: "atan_downward":
double: 1
diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps
index fa3cf2e..b1c01b4 100644
--- a/sysdeps/powerpc/fpu/libm-test-ulps
+++ b/sysdeps/powerpc/fpu/libm-test-ulps
@@ -151,25 +151,21 @@ ldouble: 3
Function: "atan2pi":
double: 1
-float: 1
float128: 3
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
float128: 2
ldouble: 4
Function: "atan2pi_towardzero":
double: 1
-float: 2
float128: 2
ldouble: 5
Function: "atan2pi_upward":
double: 1
-float: 2
float128: 2
ldouble: 4
diff --git a/sysdeps/riscv/nofpu/libm-test-ulps b/sysdeps/riscv/nofpu/libm-test-ulps
index a5184ec..f55df65 100644
--- a/sysdeps/riscv/nofpu/libm-test-ulps
+++ b/sysdeps/riscv/nofpu/libm-test-ulps
@@ -94,7 +94,6 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan_downward":
diff --git a/sysdeps/riscv/rvd/libm-test-ulps b/sysdeps/riscv/rvd/libm-test-ulps
index 3bfc966..879f5c5 100644
--- a/sysdeps/riscv/rvd/libm-test-ulps
+++ b/sysdeps/riscv/rvd/libm-test-ulps
@@ -118,22 +118,18 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 2
ldouble: 2
Function: "atan_downward":
diff --git a/sysdeps/s390/fpu/libm-test-ulps b/sysdeps/s390/fpu/libm-test-ulps
index 7d61bf1..c4a27b9 100644
--- a/sysdeps/s390/fpu/libm-test-ulps
+++ b/sysdeps/s390/fpu/libm-test-ulps
@@ -118,22 +118,18 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 2
ldouble: 2
Function: "atan_downward":
diff --git a/sysdeps/sparc/fpu/libm-test-ulps b/sysdeps/sparc/fpu/libm-test-ulps
index 426f458..fbf1507 100644
--- a/sysdeps/sparc/fpu/libm-test-ulps
+++ b/sysdeps/sparc/fpu/libm-test-ulps
@@ -118,22 +118,18 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan2pi_downward":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 2
ldouble: 2
Function: "atan_downward":
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index d4c4bfa..a340df6 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -244,25 +244,21 @@ float: 2
Function: "atan2pi":
double: 1
-float: 1
float128: 3
ldouble: 2
Function: "atan2pi_downward":
double: 1
-float: 3
float128: 2
ldouble: 2
Function: "atan2pi_towardzero":
double: 1
-float: 2
float128: 2
ldouble: 2
Function: "atan2pi_upward":
double: 1
-float: 3
float128: 2
ldouble: 2
generated by cgit v1.1 at 2025-03-20 11:31:50 +0000