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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
/* The sin, cos, exp, and log functions of this file come from
* Julien Pommier's sse math library: http://gruntthepeon.free.fr/ssemath/
*/
#ifndef EIGEN_MATH_FUNCTIONS_NEON_H
#define EIGEN_MATH_FUNCTIONS_NEON_H
namespace Eigen {
namespace internal {
template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
Packet4f pexp<Packet4f>(const Packet4f& _x)
{
Packet4f x = _x;
Packet4f tmp, fx;
_EIGEN_DECLARE_CONST_Packet4f(1 , 1.0f);
_EIGEN_DECLARE_CONST_Packet4f(half, 0.5f);
_EIGEN_DECLARE_CONST_Packet4i(0x7f, 0x7f);
_EIGEN_DECLARE_CONST_Packet4f(exp_hi, 88.3762626647950f);
_EIGEN_DECLARE_CONST_Packet4f(exp_lo, -88.3762626647949f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_LOG2EF, 1.44269504088896341f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_C1, 0.693359375f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_C2, -2.12194440e-4f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p0, 1.9875691500E-4f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p1, 1.3981999507E-3f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p2, 8.3334519073E-3f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p3, 4.1665795894E-2f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p4, 1.6666665459E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_exp_p5, 5.0000001201E-1f);
x = vminq_f32(x, p4f_exp_hi);
x = vmaxq_f32(x, p4f_exp_lo);
/* express exp(x) as exp(g + n*log(2)) */
fx = vmlaq_f32(p4f_half, x, p4f_cephes_LOG2EF);
/* perform a floorf */
tmp = vcvtq_f32_s32(vcvtq_s32_f32(fx));
/* if greater, substract 1 */
Packet4ui mask = vcgtq_f32(tmp, fx);
mask = vandq_u32(mask, vreinterpretq_u32_f32(p4f_1));
fx = vsubq_f32(tmp, vreinterpretq_f32_u32(mask));
tmp = vmulq_f32(fx, p4f_cephes_exp_C1);
Packet4f z = vmulq_f32(fx, p4f_cephes_exp_C2);
x = vsubq_f32(x, tmp);
x = vsubq_f32(x, z);
Packet4f y = vmulq_f32(p4f_cephes_exp_p0, x);
z = vmulq_f32(x, x);
y = vaddq_f32(y, p4f_cephes_exp_p1);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_exp_p2);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_exp_p3);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_exp_p4);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_exp_p5);
y = vmulq_f32(y, z);
y = vaddq_f32(y, x);
y = vaddq_f32(y, p4f_1);
/* build 2^n */
int32x4_t mm;
mm = vcvtq_s32_f32(fx);
mm = vaddq_s32(mm, p4i_0x7f);
mm = vshlq_n_s32(mm, 23);
Packet4f pow2n = vreinterpretq_f32_s32(mm);
y = vmulq_f32(y, pow2n);
return y;
}
template<> EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED
Packet4f plog<Packet4f>(const Packet4f& _x)
{
Packet4f x = _x;
_EIGEN_DECLARE_CONST_Packet4f(1 , 1.0f);
_EIGEN_DECLARE_CONST_Packet4f(half, 0.5f);
_EIGEN_DECLARE_CONST_Packet4i(0x7f, 0x7f);
const Packet4f p4f_minus_inf = vreinterpretq_f32_s32(pset1<Packet4i>(0xff800000));
_EIGEN_DECLARE_CONST_Packet4i(inv_mant_mask, ~0x7f800000);
/* natural logarithm computed for 4 simultaneous float
return NaN for x <= 0
*/
_EIGEN_DECLARE_CONST_Packet4f(cephes_SQRTHF, 0.707106781186547524f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p0, 7.0376836292E-2f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p1, - 1.1514610310E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p2, 1.1676998740E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p3, - 1.2420140846E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p4, + 1.4249322787E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p5, - 1.6668057665E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p6, + 2.0000714765E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p7, - 2.4999993993E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_p8, + 3.3333331174E-1f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_q1, -2.12194440e-4f);
_EIGEN_DECLARE_CONST_Packet4f(cephes_log_q2, 0.693359375f);
x = vmaxq_f32(x, vdupq_n_f32(0)); /* force flush to zero on denormal values */
Packet4f iszero_mask = vreinterpretq_f32_u32(vceqq_f32(_x, vdupq_n_f32(0)));
Packet4f invalid_mask = vreinterpretq_f32_u32(vmvnq_u32(vcgeq_f32(_x, vdupq_n_f32(0))));
Packet4i ux = vreinterpretq_s32_f32(x);
Packet4i emm0 = vshrq_n_s32(ux, 23);
/* keep only the fractional part */
ux = vandq_s32(ux, p4i_inv_mant_mask);
ux = vorrq_s32(ux, vreinterpretq_s32_f32(p4f_half));
x = vreinterpretq_f32_s32(ux);
emm0 = vsubq_s32(emm0, p4i_0x7f);
Packet4f e = vcvtq_f32_s32(emm0);
e = vaddq_f32(e, p4f_1);
/* part2:
if( x < SQRTHF ) {
e -= 1;
x = x + x - 1.0;
} else { x = x - 1.0; }
*/
Packet4ui mask = vcltq_f32(x, p4f_cephes_SQRTHF);
Packet4f tmp = vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(x), mask));
x = vsubq_f32(x, p4f_1);
e = vsubq_f32(e, vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(p4f_1), mask)));
x = vaddq_f32(x, tmp);
Packet4f z = vmulq_f32(x,x);
Packet4f y = p4f_cephes_log_p0;
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p1);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p2);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p3);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p4);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p5);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p6);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p7);
y = vmulq_f32(y, x);
y = vaddq_f32(y, p4f_cephes_log_p8);
y = vmulq_f32(y, x);
y = vmulq_f32(y, z);
tmp = vmulq_f32(e, p4f_cephes_log_q1);
y = vaddq_f32(y, tmp);
tmp = vmulq_f32(z, p4f_half);
y = vsubq_f32(y, tmp);
tmp = vmulq_f32(e, p4f_cephes_log_q2);
x = vaddq_f32(x, y);
x = vaddq_f32(x, tmp);
x = por(x, invalid_mask);
x = por(pandnot(x,iszero_mask), pand(iszero_mask, p4f_minus_inf));
return x;
}
} // end namespace internal
} // end namespace Eigen
#endif // EIGEN_MATH_FUNCTIONS_NEON_H
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