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Diffstat (limited to 'compute/ncnn/src/layer/arm/neon_mathfun.h')
-rw-r--r-- | compute/ncnn/src/layer/arm/neon_mathfun.h | 315 |
1 files changed, 0 insertions, 315 deletions
diff --git a/compute/ncnn/src/layer/arm/neon_mathfun.h b/compute/ncnn/src/layer/arm/neon_mathfun.h deleted file mode 100644 index 6e3cb66c8..000000000 --- a/compute/ncnn/src/layer/arm/neon_mathfun.h +++ /dev/null @@ -1,315 +0,0 @@ -/* NEON implementation of sin, cos, exp and log - * - * Inspired by Intel Approximate Math library, and based on the - * corresponding algorithms of the cephes math library - */ - -/* Copyright (C) 2011 Julien Pommier - * - * This software is provided 'as-is', without any express or implied - * warranty. In no event will the authors be held liable for any damages - * arising from the use of this software. - * - * Permission is granted to anyone to use this software for any purpose, - * including commercial applications, and to alter it and redistribute it - * freely, subject to the following restrictions: - * - * 1. The origin of this software must not be misrepresented; you must not - * claim that you wrote the original software. If you use this software - * in a product, an acknowledgment in the product documentation would be - * appreciated but is not required. - * 2. Altered source versions must be plainly marked as such, and must not be - * misrepresented as being the original software. - * 3. This notice may not be removed or altered from any source distribution. - * - * (this is the zlib license) - */ - -#include <arm_neon.h> - -#define c_inv_mant_mask ~0x7f800000u -#define c_cephes_SQRTHF 0.707106781186547524 -#define c_cephes_log_p0 7.0376836292E-2 -#define c_cephes_log_p1 -1.1514610310E-1 -#define c_cephes_log_p2 1.1676998740E-1 -#define c_cephes_log_p3 -1.2420140846E-1 -#define c_cephes_log_p4 +1.4249322787E-1 -#define c_cephes_log_p5 -1.6668057665E-1 -#define c_cephes_log_p6 +2.0000714765E-1 -#define c_cephes_log_p7 -2.4999993993E-1 -#define c_cephes_log_p8 +3.3333331174E-1 -#define c_cephes_log_q1 -2.12194440e-4 -#define c_cephes_log_q2 0.693359375 - -/* natural logarithm computed for 4 simultaneous float - * return NaN for x <= 0 - */ -static inline float32x4_t log_ps(float32x4_t x) -{ - float32x4_t one = vdupq_n_f32(1); - - x = vmaxq_f32(x, vdupq_n_f32(0)); /* force flush to zero on denormal values */ - uint32x4_t invalid_mask = vcleq_f32(x, vdupq_n_f32(0)); - - int32x4_t ux = vreinterpretq_s32_f32(x); - - int32x4_t emm0 = vshrq_n_s32(ux, 23); - - /* keep only the fractional part */ - ux = vandq_s32(ux, vdupq_n_s32(c_inv_mant_mask)); - ux = vorrq_s32(ux, vreinterpretq_s32_f32(vdupq_n_f32(0.5f))); - x = vreinterpretq_f32_s32(ux); - - emm0 = vsubq_s32(emm0, vdupq_n_s32(0x7f)); - float32x4_t e = vcvtq_f32_s32(emm0); - - e = vaddq_f32(e, one); - - /* part2: - * if( x < SQRTHF ) { - * e -= 1; - * x = x + x - 1.0; - * } else { x = x - 1.0; } - */ - uint32x4_t mask = vcltq_f32(x, vdupq_n_f32(c_cephes_SQRTHF)); - float32x4_t tmp = vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(x), mask)); - x = vsubq_f32(x, one); - e = vsubq_f32(e, vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(one), mask))); - x = vaddq_f32(x, tmp); - - float32x4_t z = vmulq_f32(x, x); - - float32x4_t y = vdupq_n_f32(c_cephes_log_p0); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p1)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p2)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p3)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p4)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p5)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p6)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p7)); - y = vmulq_f32(y, x); - y = vaddq_f32(y, vdupq_n_f32(c_cephes_log_p8)); - y = vmulq_f32(y, x); - - y = vmulq_f32(y, z); - - tmp = vmulq_f32(e, vdupq_n_f32(c_cephes_log_q1)); - y = vaddq_f32(y, tmp); - - tmp = vmulq_f32(z, vdupq_n_f32(0.5f)); - y = vsubq_f32(y, tmp); - - tmp = vmulq_f32(e, vdupq_n_f32(c_cephes_log_q2)); - x = vaddq_f32(x, y); - x = vaddq_f32(x, tmp); - x = vreinterpretq_f32_u32( - vorrq_u32(vreinterpretq_u32_f32(x), invalid_mask)); // negative arg will be NAN - return x; -} - -#define c_exp_hi 88.3762626647949f -#define c_exp_lo -88.3762626647949f - -#define c_cephes_LOG2EF 1.44269504088896341 -#define c_cephes_exp_C1 0.693359375 -#define c_cephes_exp_C2 -2.12194440e-4 - -#define c_cephes_exp_p0 1.9875691500E-4 -#define c_cephes_exp_p1 1.3981999507E-3 -#define c_cephes_exp_p2 8.3334519073E-3 -#define c_cephes_exp_p3 4.1665795894E-2 -#define c_cephes_exp_p4 1.6666665459E-1 -#define c_cephes_exp_p5 5.0000001201E-1 - -/* exp() computed for 4 float at once */ -static inline float32x4_t exp_ps(float32x4_t x) -{ - float32x4_t tmp, fx; - - float32x4_t one = vdupq_n_f32(1); - x = vminq_f32(x, vdupq_n_f32(c_exp_hi)); - x = vmaxq_f32(x, vdupq_n_f32(c_exp_lo)); - - /* express exp(x) as exp(g + n*log(2)) */ - fx = vmlaq_f32(vdupq_n_f32(0.5f), x, vdupq_n_f32(c_cephes_LOG2EF)); - - /* perform a floorf */ - tmp = vcvtq_f32_s32(vcvtq_s32_f32(fx)); - - /* if greater, substract 1 */ - uint32x4_t mask = vcgtq_f32(tmp, fx); - mask = vandq_u32(mask, vreinterpretq_u32_f32(one)); - - fx = vsubq_f32(tmp, vreinterpretq_f32_u32(mask)); - - tmp = vmulq_f32(fx, vdupq_n_f32(c_cephes_exp_C1)); - float32x4_t z = vmulq_f32(fx, vdupq_n_f32(c_cephes_exp_C2)); - x = vsubq_f32(x, tmp); - x = vsubq_f32(x, z); - - static const float cephes_exp_p[6] = {c_cephes_exp_p0, c_cephes_exp_p1, c_cephes_exp_p2, - c_cephes_exp_p3, c_cephes_exp_p4, c_cephes_exp_p5}; - float32x4_t y = vld1q_dup_f32(cephes_exp_p + 0); - float32x4_t c1 = vld1q_dup_f32(cephes_exp_p + 1); - float32x4_t c2 = vld1q_dup_f32(cephes_exp_p + 2); - float32x4_t c3 = vld1q_dup_f32(cephes_exp_p + 3); - float32x4_t c4 = vld1q_dup_f32(cephes_exp_p + 4); - float32x4_t c5 = vld1q_dup_f32(cephes_exp_p + 5); - - y = vmulq_f32(y, x); - z = vmulq_f32(x, x); - - y = vaddq_f32(y, c1); - y = vmulq_f32(y, x); - y = vaddq_f32(y, c2); - y = vmulq_f32(y, x); - y = vaddq_f32(y, c3); - y = vmulq_f32(y, x); - y = vaddq_f32(y, c4); - y = vmulq_f32(y, x); - y = vaddq_f32(y, c5); - - y = vmulq_f32(y, z); - y = vaddq_f32(y, x); - y = vaddq_f32(y, one); - - /* build 2^n */ - int32x4_t mm; - mm = vcvtq_s32_f32(fx); - mm = vaddq_s32(mm, vdupq_n_s32(0x7f)); - mm = vshlq_n_s32(mm, 23); - float32x4_t pow2n = vreinterpretq_f32_s32(mm); - - y = vmulq_f32(y, pow2n); - return y; -} - -#define c_minus_cephes_DP1 -0.78515625 -#define c_minus_cephes_DP2 -2.4187564849853515625e-4 -#define c_minus_cephes_DP3 -3.77489497744594108e-8 -#define c_sincof_p0 -1.9515295891E-4 -#define c_sincof_p1 8.3321608736E-3 -#define c_sincof_p2 -1.6666654611E-1 -#define c_coscof_p0 2.443315711809948E-005 -#define c_coscof_p1 -1.388731625493765E-003 -#define c_coscof_p2 4.166664568298827E-002 -#define c_cephes_FOPI 1.27323954473516 // 4 / M_PI - -/* evaluation of 4 sines & cosines at once. - * - * The code is the exact rewriting of the cephes sinf function. - * Precision is excellent as long as x < 8192 (I did not bother to - * take into account the special handling they have for greater values - * -- it does not return garbage for arguments over 8192, though, but - * the extra precision is missing). - * - * Note that it is such that sinf((float)M_PI) = 8.74e-8, which is the - * surprising but correct result. - * - * Note also that when you compute sin(x), cos(x) is available at - * almost no extra price so both sin_ps and cos_ps make use of - * sincos_ps.. - */ -static inline void sincos_ps(float32x4_t x, float32x4_t *ysin, float32x4_t *ycos) -{ - // any x - float32x4_t xmm1, xmm2, xmm3, y; - - uint32x4_t emm2; - - uint32x4_t sign_mask_sin, sign_mask_cos; - sign_mask_sin = vcltq_f32(x, vdupq_n_f32(0)); - x = vabsq_f32(x); - - /* scale by 4/Pi */ - y = vmulq_f32(x, vdupq_n_f32(c_cephes_FOPI)); - - /* store the integer part of y in mm0 */ - emm2 = vcvtq_u32_f32(y); - /* j=(j+1) & (~1) (see the cephes sources) */ - emm2 = vaddq_u32(emm2, vdupq_n_u32(1)); - emm2 = vandq_u32(emm2, vdupq_n_u32(~1)); - y = vcvtq_f32_u32(emm2); - - /* get the polynom selection mask - * there is one polynom for 0 <= x <= Pi/4 - * and another one for Pi/4<x<=Pi/2 - * - * Both branches will be computed. - */ - uint32x4_t poly_mask = vtstq_u32(emm2, vdupq_n_u32(2)); - - /* The magic pass: "Extended precision modular arithmetic" - * x = ((x - y * DP1) - y * DP2) - y * DP3; */ - xmm1 = vmulq_n_f32(y, c_minus_cephes_DP1); - xmm2 = vmulq_n_f32(y, c_minus_cephes_DP2); - xmm3 = vmulq_n_f32(y, c_minus_cephes_DP3); - x = vaddq_f32(x, xmm1); - x = vaddq_f32(x, xmm2); - x = vaddq_f32(x, xmm3); - - sign_mask_sin = veorq_u32(sign_mask_sin, vtstq_u32(emm2, vdupq_n_u32(4))); - sign_mask_cos = vtstq_u32(vsubq_u32(emm2, vdupq_n_u32(2)), vdupq_n_u32(4)); - - /* Evaluate the first polynom (0 <= x <= Pi/4) in y1, - * and the second polynom (Pi/4 <= x <= 0) in y2 */ - float32x4_t z = vmulq_f32(x, x); - float32x4_t y1, y2; - - y1 = vmulq_n_f32(z, c_coscof_p0); - y2 = vmulq_n_f32(z, c_sincof_p0); - y1 = vaddq_f32(y1, vdupq_n_f32(c_coscof_p1)); - y2 = vaddq_f32(y2, vdupq_n_f32(c_sincof_p1)); - y1 = vmulq_f32(y1, z); - y2 = vmulq_f32(y2, z); - y1 = vaddq_f32(y1, vdupq_n_f32(c_coscof_p2)); - y2 = vaddq_f32(y2, vdupq_n_f32(c_sincof_p2)); - y1 = vmulq_f32(y1, z); - y2 = vmulq_f32(y2, z); - y1 = vmulq_f32(y1, z); - y2 = vmulq_f32(y2, x); - y1 = vsubq_f32(y1, vmulq_f32(z, vdupq_n_f32(0.5f))); - y2 = vaddq_f32(y2, x); - y1 = vaddq_f32(y1, vdupq_n_f32(1)); - - /* select the correct result from the two polynoms */ - float32x4_t ys = vbslq_f32(poly_mask, y1, y2); - float32x4_t yc = vbslq_f32(poly_mask, y2, y1); - *ysin = vbslq_f32(sign_mask_sin, vnegq_f32(ys), ys); - *ycos = vbslq_f32(sign_mask_cos, yc, vnegq_f32(yc)); -} - -static inline float32x4_t sin_ps(float32x4_t x) -{ - float32x4_t ysin, ycos; - sincos_ps(x, &ysin, &ycos); - return ysin; -} - -static inline float32x4_t cos_ps(float32x4_t x) -{ - float32x4_t ysin, ycos; - sincos_ps(x, &ysin, &ycos); - return ycos; -} - -static inline float32x4_t div_ps(float32x4_t a, float32x4_t b) -{ - float32x4_t reciprocal = vrecpeq_f32(b); - reciprocal = vmulq_f32(vrecpsq_f32(b, reciprocal), reciprocal); - // reciprocal = vmulq_f32(vrecpsq_f32(b, reciprocal), reciprocal); - return vmulq_f32(a, reciprocal); -} - -static inline float32x4_t pow_ps(float32x4_t a, float32x4_t b) -{ - // pow(x, m) = exp(m * log(x)) - return exp_ps(vmulq_f32(b, log_ps(a))); -} |