1 // Auto-generated file. Do not edit!
2 // Template: src/f32-raddstoreexpminusmax/wasmsimd-rr2-p5.c.in
3 // Generator: tools/xngen
4 //
5 // Copyright 2020 Google LLC
6 //
7 // This source code is licensed under the BSD-style license found in the
8 // LICENSE file in the root directory of this source tree.
9
10 #include <assert.h>
11
12 #include <wasm_simd128.h>
13
14 #include <xnnpack/common.h>
15 #include <xnnpack/raddstoreexpminusmax.h>
16
17
xnn_f32_raddstoreexpminusmax_ukernel__wasmsimd_rr2_p5_x16_acc2(size_t elements,const float * input,const float * max,float * output,float * sum,const union xnn_f32_expminus_params params[restrict XNN_MIN_ELEMENTS (1)])18 void xnn_f32_raddstoreexpminusmax_ukernel__wasmsimd_rr2_p5_x16_acc2(
19 size_t elements,
20 const float* input,
21 const float* max,
22 float* output,
23 float* sum,
24 const union xnn_f32_expminus_params params[restrict XNN_MIN_ELEMENTS(1)]) XNN_OOB_READS
25 {
26 assert(elements % sizeof(float) == 0);
27
28 const v128_t vi_max = wasm_v128_load32_splat(max);
29 const v128_t vlog2e = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.log2e);
30 const v128_t vmagic_bias = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.magic_bias);
31 const v128_t vminus_ln2_hi = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.minus_ln2_hi);
32 const v128_t vminus_ln2_lo = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.minus_ln2_lo);
33 const v128_t vc5 = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.c5);
34 const v128_t vc4 = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.c4);
35 const v128_t vc3 = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.c3);
36 const v128_t vc2 = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.c2);
37 const v128_t vc1 = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.c1);
38 const v128_t vdenorm_cutoff = wasm_v128_load64_splat(params->wasmsimd_rr2_p5.denorm_cutoff);
39
40 v128_t vacc0 = wasm_f32x4_const_splat(0.0f);
41 v128_t vacc1 = vacc0;
42 for (; elements >= 16 * sizeof(float); elements -= 16 * sizeof(float)) {
43 // Load 16 (4x4) inputs at a time.
44 const v128_t vi0123 = wasm_v128_load(input);
45 const v128_t vi4567 = wasm_v128_load(input + 4);
46 const v128_t vi89AB = wasm_v128_load(input + 8);
47 const v128_t viCDEF = wasm_v128_load(input + 12);
48 input += 16;
49
50 // Subtract maximum input x := i - i_max. This implies x <= 0.
51 const v128_t vx0123 = wasm_f32x4_sub(vi0123, vi_max);
52 const v128_t vx4567 = wasm_f32x4_sub(vi4567, vi_max);
53 const v128_t vx89AB = wasm_f32x4_sub(vi89AB, vi_max);
54 const v128_t vxCDEF = wasm_f32x4_sub(viCDEF, vi_max);
55
56 // Compute reduced argument elements := round(x / log(2)).
57 v128_t vn0123 = wasm_f32x4_add(vmagic_bias, wasm_f32x4_mul(vx0123, vlog2e));
58 v128_t vn4567 = wasm_f32x4_add(vmagic_bias, wasm_f32x4_mul(vx4567, vlog2e));
59 v128_t vn89AB = wasm_f32x4_add(vmagic_bias, wasm_f32x4_mul(vx89AB, vlog2e));
60 v128_t vnCDEF = wasm_f32x4_add(vmagic_bias, wasm_f32x4_mul(vxCDEF, vlog2e));
61
62 // Create a floating-point number s (scale) such that s == 2**elements for inputs which don't cause underflow, i.e.
63 // -87.33642 <= x <= 0.0, and -126 <= elements <= 0 accordingly.
64 const v128_t vs0123 = wasm_i32x4_shl(vn0123, 23);
65 const v128_t vs4567 = wasm_i32x4_shl(vn4567, 23);
66 const v128_t vs89AB = wasm_i32x4_shl(vn89AB, 23);
67 const v128_t vsCDEF = wasm_i32x4_shl(vnCDEF, 23);
68
69 // Subtract the large number back to get final elements := round(x / log(2)).
70 vn0123 = wasm_f32x4_sub(vn0123, vmagic_bias);
71 vn4567 = wasm_f32x4_sub(vn4567, vmagic_bias);
72 vn89AB = wasm_f32x4_sub(vn89AB, vmagic_bias);
73 vnCDEF = wasm_f32x4_sub(vnCDEF, vmagic_bias);
74
75 // Compute reduced argument t := x - elements * log(2).
76 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
77 v128_t vt0123 = wasm_f32x4_add(vx0123, wasm_f32x4_mul(vn0123, vminus_ln2_hi));
78 v128_t vt4567 = wasm_f32x4_add(vx4567, wasm_f32x4_mul(vn4567, vminus_ln2_hi));
79 v128_t vt89AB = wasm_f32x4_add(vx89AB, wasm_f32x4_mul(vn89AB, vminus_ln2_hi));
80 v128_t vtCDEF = wasm_f32x4_add(vxCDEF, wasm_f32x4_mul(vnCDEF, vminus_ln2_hi));
81
82 vt0123 = wasm_f32x4_add(vt0123, wasm_f32x4_mul(vn0123, vminus_ln2_lo));
83 vt4567 = wasm_f32x4_add(vt4567, wasm_f32x4_mul(vn4567, vminus_ln2_lo));
84 vt89AB = wasm_f32x4_add(vt89AB, wasm_f32x4_mul(vn89AB, vminus_ln2_lo));
85 vtCDEF = wasm_f32x4_add(vtCDEF, wasm_f32x4_mul(vnCDEF, vminus_ln2_lo));
86
87 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
88 v128_t vp0123 = wasm_f32x4_add(vc4, wasm_f32x4_mul(vc5, vt0123));
89 v128_t vp4567 = wasm_f32x4_add(vc4, wasm_f32x4_mul(vc5, vt4567));
90 v128_t vp89AB = wasm_f32x4_add(vc4, wasm_f32x4_mul(vc5, vt89AB));
91 v128_t vpCDEF = wasm_f32x4_add(vc4, wasm_f32x4_mul(vc5, vtCDEF));
92
93 vp0123 = wasm_f32x4_add(vc3, wasm_f32x4_mul(vp0123, vt0123));
94 vp4567 = wasm_f32x4_add(vc3, wasm_f32x4_mul(vp4567, vt4567));
95 vp89AB = wasm_f32x4_add(vc3, wasm_f32x4_mul(vp89AB, vt89AB));
96 vpCDEF = wasm_f32x4_add(vc3, wasm_f32x4_mul(vpCDEF, vtCDEF));
97
98 vp0123 = wasm_f32x4_add(vc2, wasm_f32x4_mul(vp0123, vt0123));
99 vp4567 = wasm_f32x4_add(vc2, wasm_f32x4_mul(vp4567, vt4567));
100 vp89AB = wasm_f32x4_add(vc2, wasm_f32x4_mul(vp89AB, vt89AB));
101 vpCDEF = wasm_f32x4_add(vc2, wasm_f32x4_mul(vpCDEF, vtCDEF));
102
103 vp0123 = wasm_f32x4_add(vc1, wasm_f32x4_mul(vp0123, vt0123));
104 vp4567 = wasm_f32x4_add(vc1, wasm_f32x4_mul(vp4567, vt4567));
105 vp89AB = wasm_f32x4_add(vc1, wasm_f32x4_mul(vp89AB, vt89AB));
106 vpCDEF = wasm_f32x4_add(vc1, wasm_f32x4_mul(vpCDEF, vtCDEF));
107
108 // Reconstruct the final f value:
109 // f = s * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
110 // = s + (t * s) * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))
111 // = s + (t * s) * p
112 vt0123 = wasm_f32x4_mul(vt0123, vs0123);
113 vt4567 = wasm_f32x4_mul(vt4567, vs4567);
114 vt89AB = wasm_f32x4_mul(vt89AB, vs89AB);
115 vtCDEF = wasm_f32x4_mul(vtCDEF, vsCDEF);
116
117 v128_t vf0123 = wasm_f32x4_add(vs0123, wasm_f32x4_mul(vt0123, vp0123));
118 v128_t vf4567 = wasm_f32x4_add(vs4567, wasm_f32x4_mul(vt4567, vp4567));
119 v128_t vf89AB = wasm_f32x4_add(vs89AB, wasm_f32x4_mul(vt89AB, vp89AB));
120 v128_t vfCDEF = wasm_f32x4_add(vsCDEF, wasm_f32x4_mul(vtCDEF, vpCDEF));
121
122 // For inputs below zero cutoff, replace output with +0.0f.
123 // Note that for NaN inputs, comparison result is false, and outputs are left unchanged.
124 vf0123 = wasm_v128_andnot(vf0123, wasm_f32x4_lt(vx0123, vdenorm_cutoff));
125 vf4567 = wasm_v128_andnot(vf4567, wasm_f32x4_lt(vx4567, vdenorm_cutoff));
126 vf89AB = wasm_v128_andnot(vf89AB, wasm_f32x4_lt(vx89AB, vdenorm_cutoff));
127 vfCDEF = wasm_v128_andnot(vfCDEF, wasm_f32x4_lt(vxCDEF, vdenorm_cutoff));
128
129 // Store 16 (4x4) outputs at a time.
130 wasm_v128_store(output, vf0123);
131 wasm_v128_store(output + 4, vf4567);
132 wasm_v128_store(output + 8, vf89AB);
133 wasm_v128_store(output + 12, vfCDEF);
134 output += 16;
135
136 // Accumulate computed exponents.
137 vacc0 = wasm_f32x4_add(vacc0, vf0123);
138 vacc0 = wasm_f32x4_add(vacc0, vf4567);
139 vacc0 = wasm_f32x4_add(vacc0, vf89AB);
140 vacc0 = wasm_f32x4_add(vacc0, vfCDEF);
141 }
142 // Add up all accumulators to vacc0
143 vacc0 = wasm_f32x4_add(vacc0, vacc1);
144
145 v128_t vacc = vacc0;
146 for (; elements >= 4 * sizeof(float); elements -= 4 * sizeof(float)) {
147 // Load 4 inputs at a time.
148 const v128_t vi = wasm_v128_load(input);
149 input += 4;
150
151 // Subtract maximum input x := i - i_max. This implies x <= 0.
152 const v128_t vx = wasm_f32x4_sub(vi, vi_max);
153
154 // Compute reduced argument elements := round(x / log(2)).
155 v128_t vn = wasm_f32x4_add(vmagic_bias, wasm_f32x4_mul(vx, vlog2e));
156
157 // Create a floating-point number s (scale) such that s == 2**elements for inputs which don't cause underflow, i.e.
158 // -87.33642 <= x <= 0.0, and -126 <= elements <= 0 accordingly.
159 const v128_t vs = wasm_i32x4_shl(vn, 23);
160
161 // Subtract the large number back to get final elements := round(x / log(2)).
162 vn = wasm_f32x4_sub(vn, vmagic_bias);
163
164 // Compute reduced argument t := x - elements * log(2).
165 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
166 v128_t vt = wasm_f32x4_add(vx, wasm_f32x4_mul(vn, vminus_ln2_hi));
167 vt = wasm_f32x4_add(vt, wasm_f32x4_mul(vn, vminus_ln2_lo));
168
169 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
170 v128_t vp = wasm_f32x4_add(vc4, wasm_f32x4_mul(vc5, vt));
171 vp = wasm_f32x4_add(vc3, wasm_f32x4_mul(vp, vt));
172 vp = wasm_f32x4_add(vc2, wasm_f32x4_mul(vp, vt));
173 vp = wasm_f32x4_add(vc1, wasm_f32x4_mul(vp, vt));
174
175 // Reconstruct the final f value:
176 // f = s * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
177 // = s + (t * s) * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))
178 // = s + (t * s) * p
179 vt = wasm_f32x4_mul(vt, vs);
180 v128_t vf = wasm_f32x4_add(vs, wasm_f32x4_mul(vt, vp));
181
182 // For inputs below zero cutoff, replace output with +0.0f.
183 // Note that for NaN inputs, comparison result is false, and outputs are left unchanged.
184 vf = wasm_v128_andnot(vf, wasm_f32x4_lt(vx, vdenorm_cutoff));
185
186 // Store 4 outputs at a time.
187 wasm_v128_store(output, vf);
188 output += 4;
189
190 // Accumulate computed exponents.
191 vacc = wasm_f32x4_add(vacc, vf);
192 }
193 vacc = wasm_f32x4_add(vacc, wasm_v32x4_shuffle(vacc, vacc, 2, 3, 2, 3));
194 float vsum = wasm_f32x4_extract_lane(vacc, 0) + wasm_f32x4_extract_lane(vacc, 1);
195 if (elements != 0) {
196 assert(elements >= 1 * sizeof(float));
197 assert(elements <= 3 * sizeof(float));
198 // Load 4 inputs at a time.
199 const v128_t vi = wasm_v128_load(input);
200
201 // Subtract maximum input x := i - i_max. This implies x <= 0.
202 const v128_t vx = wasm_f32x4_sub(vi, vi_max);
203
204 // Compute reduced argument elements := round(x / log(2)).
205 v128_t vn = wasm_f32x4_add(vmagic_bias, wasm_f32x4_mul(vx, vlog2e));
206
207 // Create a floating-point number s (scale) such that s == 2**elements for inputs which don't cause underflow, i.e.
208 // -87.33642 <= x <= 0.0, and -126 <= elements <= 0 accordingly.
209 const v128_t vs = wasm_i32x4_shl(vn, 23);
210
211 // Subtract the large number back to get final elements := round(x / log(2)).
212 vn = wasm_f32x4_sub(vn, vmagic_bias);
213
214 // Compute reduced argument t := x - elements * log(2).
215 // Use Cody-Waite range reduction method (note two constants to represent log(2)) to improve accuracy.
216 v128_t vt = wasm_f32x4_add(vx, wasm_f32x4_mul(vn, vminus_ln2_hi));
217 vt = wasm_f32x4_add(vt, wasm_f32x4_mul(vn, vminus_ln2_lo));
218
219 // Compute degree-5 polynomial approximation for exp(t) on [-log(2)/2, log(2)/2].
220 v128_t vp = wasm_f32x4_add(vc4, wasm_f32x4_mul(vc5, vt));
221 vp = wasm_f32x4_add(vc3, wasm_f32x4_mul(vp, vt));
222 vp = wasm_f32x4_add(vc2, wasm_f32x4_mul(vp, vt));
223 vp = wasm_f32x4_add(vc1, wasm_f32x4_mul(vp, vt));
224
225 // Reconstruct the final f value:
226 // f = s * (1 + t * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5)))))
227 // = s + (t * s) * (c1 + t * (c2 + t * (c3 + t * (c4 + t * c5))))
228 // = s + (t * s) * p
229 vt = wasm_f32x4_mul(vt, vs);
230 v128_t vf = wasm_f32x4_add(vs, wasm_f32x4_mul(vt, vp));
231
232 // For inputs below zero cutoff, replace output with +0.0f.
233 // Note that for NaN inputs, comparison result is false, and outputs are left unchanged.
234 vf = wasm_v128_andnot(vf, wasm_f32x4_lt(vx, vdenorm_cutoff));
235
236 if (elements & (2 * sizeof(float))) {
237 // Store and accumulate 2 outputs at a time.
238 const float vf0 = wasm_f32x4_extract_lane(vf, 0);
239 output[0] = vf0;
240 vsum += vf0;
241
242 const float vf1 = wasm_f32x4_extract_lane(vf, 1);
243 output[1] = vf1;
244 vsum += vf1;
245
246 vf = wasm_v32x4_shuffle(vf, vf, 2, 3, 2, 3);
247 output += 2;
248 }
249 if (elements & (1 * sizeof(float))) {
250 // Store 1 output at a time.
251 const float vf0 = wasm_f32x4_extract_lane(vf, 0);
252 *output = vf0;
253 vsum += vf0;
254 }
255 }
256 // Reduce 4 elements in the SIMD register
257 *sum = vsum;
258 }
259