[10/15] math: Use atan2pif from CORE-MATH
Checks
Context |
Check |
Description |
redhat-pt-bot/TryBot-apply_patch |
success
|
Patch applied to master at the time it was sent
|
linaro-tcwg-bot/tcwg_glibc_build--master-arm |
success
|
Build passed
|
linaro-tcwg-bot/tcwg_glibc_check--master-arm |
success
|
Test passed
|
linaro-tcwg-bot/tcwg_glibc_build--master-aarch64 |
success
|
Build passed
|
linaro-tcwg-bot/tcwg_glibc_check--master-aarch64 |
success
|
Test passed
|
Commit Message
The CORE-MATH implementation is correctly rounded (for any rounding mode)
and shows better performance to the generic atan2pif.
The code was adapted to glibc style and to use the definition of
math_config.h (to handle errno, overflow, and underflow).
Benchtest on x64_64 (Ryzen 9 5900X, gcc 14.2.1), aarch64 (Neoverse-N1,
gcc 13.3.1), and powerpc (POWER10, gcc 13.2.1):
latency master patched improvement
x86_64 79.4006 70.8726 10.74%
x86_64v2 77.5136 69.1424 10.80%
x86_64v3 71.8050 68.1637 5.07%
aarch64 (Neoverse) 27.8363 24.7700 11.02%
power8 39.3893 17.2929 56.10%
power10 19.7200 16.8187 14.71%
reciprocal-throughput master patched improvement
x86_64 38.3457 30.9471 19.29%
x86_64v2 37.4023 30.3112 18.96%
x86_64v3 33.0713 24.4891 25.95%
aarch64 (Neoverse) 19.3683 15.3259 20.87%
power8 19.5507 8.27165 57.69%
power10 9.05331 7.63775 15.64%
---
SHARED-FILES | 4 +
sysdeps/aarch64/libm-test-ulps | 4 -
sysdeps/arc/fpu/libm-test-ulps | 4 -
sysdeps/arc/nofpu/libm-test-ulps | 1 -
sysdeps/arm/libm-test-ulps | 4 -
sysdeps/hppa/fpu/libm-test-ulps | 4 -
sysdeps/i386/fpu/libm-test-ulps | 4 -
.../i386/i686/fpu/multiarch/libm-test-ulps | 4 -
sysdeps/ieee754/flt-32/s_atan2pif.c | 238 ++++++++++++++++++
sysdeps/loongarch/lp64/libm-test-ulps | 4 -
sysdeps/mips/mips64/libm-test-ulps | 4 -
sysdeps/or1k/fpu/libm-test-ulps | 4 -
sysdeps/or1k/nofpu/libm-test-ulps | 1 -
sysdeps/powerpc/fpu/libm-test-ulps | 4 -
sysdeps/riscv/nofpu/libm-test-ulps | 1 -
sysdeps/riscv/rvd/libm-test-ulps | 4 -
sysdeps/s390/fpu/libm-test-ulps | 4 -
sysdeps/sparc/fpu/libm-test-ulps | 4 -
sysdeps/x86_64/fpu/libm-test-ulps | 4 -
19 files changed, 242 insertions(+), 59 deletions(-)
create mode 100644 sysdeps/ieee754/flt-32/s_atan2pif.c
Comments
LGTM but one question:
> + return 0.0f * sgnf[uy >> 31];
Is this reliable under gcc's optimizer? I've seen copysign() used for
this purpose elsewhere...
Reviewed-by: DJ Delorie <dj@redhat.com>
Adhemerval Zanella <adhemerval.zanella@linaro.org> writes:
> diff --git a/SHARED-FILES b/SHARED-FILES
> index e700f4b155..b403a2a6f0 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.
Ok.
> diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps
> diff --git a/sysdeps/arc/fpu/libm-test-ulps b/sysdeps/arc/fpu/libm-test-ulps
> diff --git a/sysdeps/arc/nofpu/libm-test-ulps b/sysdeps/arc/nofpu/libm-test-ulps
> diff --git a/sysdeps/arm/libm-test-ulps b/sysdeps/arm/libm-test-ulps
> diff --git a/sysdeps/hppa/fpu/libm-test-ulps b/sysdeps/hppa/fpu/libm-test-ulps
> diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
> diff --git a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
Ok.
> diff --git a/sysdeps/ieee754/flt-32/s_atan2pif.c b/sysdeps/ieee754/flt-32/s_atan2pif.c
> +/* 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"
Ok.
> +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;
> +}
Ok.
> +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;
> +}
Ok.
> +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);
Ok.
> + 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];
> + }
Ok.
> + 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];
> + }
Ok.
> + 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];
> + }
Ok.
> + 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];
Ok.
> + 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;
> + }
Ok.
> + 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;
> + }
> + }
> + }
Ok.
> + float rf = r;
> + if (__glibc_unlikely (rf == 0.0f && y != 0.0f))
> + __set_errno (ERANGE);
> + return rf;
> +}
> +libm_alias_float (__atan2pi, atan2pi)
Ok.
> diff --git a/sysdeps/loongarch/lp64/libm-test-ulps b/sysdeps/loongarch/lp64/libm-test-ulps
> diff --git a/sysdeps/mips/mips64/libm-test-ulps b/sysdeps/mips/mips64/libm-test-ulps
> diff --git a/sysdeps/or1k/fpu/libm-test-ulps b/sysdeps/or1k/fpu/libm-test-ulps
> diff --git a/sysdeps/or1k/nofpu/libm-test-ulps b/sysdeps/or1k/nofpu/libm-test-ulps
> diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps
> diff --git a/sysdeps/riscv/nofpu/libm-test-ulps b/sysdeps/riscv/nofpu/libm-test-ulps
> diff --git a/sysdeps/riscv/rvd/libm-test-ulps b/sysdeps/riscv/rvd/libm-test-ulps
> diff --git a/sysdeps/s390/fpu/libm-test-ulps b/sysdeps/s390/fpu/libm-test-ulps
> diff --git a/sysdeps/sparc/fpu/libm-test-ulps b/sysdeps/sparc/fpu/libm-test-ulps
> diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
Ok.
On 08/02/25 01:20, DJ Delorie wrote:
>
> LGTM but one question:
>
>> + return 0.0f * sgnf[uy >> 31];
>
> Is this reliable under gcc's optimizer? I've seen copysign() used for
> this purpose elsewhere...
I will check with some different gcc versions, but at least with gcc13/14
on x86_64/aarch64/powerpc64le it seems fine.
>
> Reviewed-by: DJ Delorie <dj@redhat.com>
>
> Adhemerval Zanella <adhemerval.zanella@linaro.org> writes:
>> diff --git a/SHARED-FILES b/SHARED-FILES
>> index e700f4b155..b403a2a6f0 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.
>
> Ok.
>
>> diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps
>> diff --git a/sysdeps/arc/fpu/libm-test-ulps b/sysdeps/arc/fpu/libm-test-ulps
>> diff --git a/sysdeps/arc/nofpu/libm-test-ulps b/sysdeps/arc/nofpu/libm-test-ulps
>> diff --git a/sysdeps/arm/libm-test-ulps b/sysdeps/arm/libm-test-ulps
>> diff --git a/sysdeps/hppa/fpu/libm-test-ulps b/sysdeps/hppa/fpu/libm-test-ulps
>> diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
>> diff --git a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
>
> Ok.
>
>> diff --git a/sysdeps/ieee754/flt-32/s_atan2pif.c b/sysdeps/ieee754/flt-32/s_atan2pif.c
>> +/* 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"
>
> Ok.
>
>> +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;
>> +}
>
> Ok.
>
>> +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;
>> +}
>
> Ok.
>
>> +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);
>
> Ok.
>
>> + 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];
>> + }
>
> Ok.
>
>> + 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];
>> + }
>
> Ok.
>
>> + 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];
>> + }
>
> Ok.
>
>> + 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];
>
> Ok.
>
>> + 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;
>> + }
>
> Ok.
>
>> + 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;
>> + }
>> + }
>> + }
>
> Ok.
>
>> + float rf = r;
>> + if (__glibc_unlikely (rf == 0.0f && y != 0.0f))
>> + __set_errno (ERANGE);
>> + return rf;
>> +}
>> +libm_alias_float (__atan2pi, atan2pi)
>
> Ok.
>
>> diff --git a/sysdeps/loongarch/lp64/libm-test-ulps b/sysdeps/loongarch/lp64/libm-test-ulps
>> diff --git a/sysdeps/mips/mips64/libm-test-ulps b/sysdeps/mips/mips64/libm-test-ulps
>> diff --git a/sysdeps/or1k/fpu/libm-test-ulps b/sysdeps/or1k/fpu/libm-test-ulps
>> diff --git a/sysdeps/or1k/nofpu/libm-test-ulps b/sysdeps/or1k/nofpu/libm-test-ulps
>> diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps
>> diff --git a/sysdeps/riscv/nofpu/libm-test-ulps b/sysdeps/riscv/nofpu/libm-test-ulps
>> diff --git a/sysdeps/riscv/rvd/libm-test-ulps b/sysdeps/riscv/rvd/libm-test-ulps
>> diff --git a/sysdeps/s390/fpu/libm-test-ulps b/sysdeps/s390/fpu/libm-test-ulps
>> diff --git a/sysdeps/sparc/fpu/libm-test-ulps b/sysdeps/sparc/fpu/libm-test-ulps
>> diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
>
> Ok.
>
@@ -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.
@@ -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":
@@ -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
@@ -24,7 +24,6 @@ double: 1
Function: "atan2pi":
double: 1
-float: 1
Function: "atanh":
double: 2
@@ -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
@@ -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
@@ -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
@@ -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
new file mode 100644
@@ -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)
@@ -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":
@@ -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":
@@ -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
@@ -69,7 +69,6 @@ double: 8
Function: "atan2pi":
double: 1
-float: 1
Function: "atan_downward":
double: 1
@@ -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
@@ -94,7 +94,6 @@ ldouble: 2
Function: "atan2pi":
double: 1
-float: 1
ldouble: 3
Function: "atan_downward":
@@ -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":
@@ -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":
@@ -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":
@@ -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