vulkan: support non-contig unary/glu ops (#24215)

* vulkan: support non-contig unary/glu ops

Change unary/glu ops to pass in all strides and use fastdiv for the index
calculation. Put all unary ops in one file, similar to glu, to share the
code. codex went ahead and added expm1 without me asking, but I had to
make it do a real precision analysis rather than just making stuff up.

unary.comp initially couldn't use generic_unary_head because there wasn't
space for xielu's additional constants. Fixing this required packing the
fastdiv 'L' values.

* attempt to workaround compiler bug

* resolve conflict from #23991

* use expm1
This commit is contained in:
Jeff Bolz
2026-06-13 08:44:15 -05:00
committed by GitHub
parent 597b6672e8
commit 1a7718b4c5
33 changed files with 7553 additions and 4876 deletions
@@ -1,21 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(abs(float(data_a[i])));
}
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(ceil(x));
}
@@ -12,11 +12,11 @@ void main() {
return;
}
const uint i13 = fastdiv(idx, p.ne1_012mp, p.ne1_012L);
const uint i13 = fastdiv(idx, p.ne1_012mp, fastdiv_L(p.ne1_Ls, 0));
const uint i13_offset = i13 * p.ne12*p.ne11*p.ne10;
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, p.ne1_01L);
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, fastdiv_L(p.ne1_Ls, 1));
const uint i12_offset = i12*p.ne11*p.ne10;
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, p.ne1_0L);
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, fastdiv_L(p.ne1_Ls, 2));
const uint i10 = idx - i13_offset - i12_offset - i11*p.ne10;
if (i10 == i11) {
@@ -1,27 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
float x = float(data_a[i]);
if (x < 0.0f) {
x = exp(x) - 1;
}
data_d[i] = D_TYPE(x);
}
@@ -1,20 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(exp(float(data_a[i])));
}
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(floor(x));
}
@@ -1,25 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const float GELU_COEF_A = 0.044715f;
const float SQRT_2_OVER_PI = 0.79788456080286535587989211986876f;
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float xi = float(data_a[i]);
const float val = SQRT_2_OVER_PI*xi*(1.0f + GELU_COEF_A*xi*xi);
data_d[i] = D_TYPE(0.5f*xi*(2.0f - 2.0f / (exp(2 * val) + 1)));
}
@@ -1,39 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
// based on Abramowitz and Stegun formula 7.1.26 or similar Hastings' approximation
// ref: https://www.johndcook.com/blog/python_erf/
const float p_erf = 0.3275911f;
const float a1_erf = 0.254829592f;
const float a2_erf = -0.284496736f;
const float a3_erf = 1.421413741f;
const float a4_erf = -1.453152027f;
const float a5_erf = 1.061405429f;
const float SQRT_2_INV = 0.70710678118654752440084436210484f;
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float a = float(data_a[i]);
const float a_div_sqr2 = a * SQRT_2_INV;
const float sign_x = sign(a_div_sqr2);
const float x = abs(a_div_sqr2);
const float t = 1.0f / (1.0f + p_erf * x);
const float y = 1.0f - (((((a5_erf * t + a4_erf) * t) + a3_erf) * t + a2_erf) * t + a1_erf) * t * exp(-x * x);
const float erf_approx = sign_x * y;
data_d[i] = D_TYPE(0.5f * a * (1.0f + erf_approx));
}
@@ -1,23 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const float GELU_QUICK_COEF = -1.702f;
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(x * (1.0f / (1.0f + exp(GELU_QUICK_COEF * x))));
}
@@ -7,14 +7,12 @@ layout (push_constant) uniform parameter
uint ne00; uint ne01; uint ne02; uint ne03; uint nb00; uint nb01; uint nb02; uint nb03;
uint ne10; uint ne11; uint ne12; uint ne13; uint nb10; uint nb11; uint nb12; uint nb13;
uint misalign_offsets;
float param1; float param2;
float param1; float param2; float param3; float param4;
uint ne0_012mp; uint ne0_012L;
uint ne0_01mp; uint ne0_01L;
uint ne0_0mp; uint ne0_0L;
uint ne1_012mp; uint ne1_012L;
uint ne1_01mp; uint ne1_01L;
uint ne1_0mp; uint ne1_0L;
// The three L values are packed as bytes to keep this layout under the 128B
// push constant limit while still leaving room for four float parameters.
uint ne0_012mp; uint ne0_01mp; uint ne0_0mp; uint ne0_Ls;
uint ne1_012mp; uint ne1_01mp; uint ne1_0mp; uint ne1_Ls;
} p;
layout (binding = 0) readonly buffer A {A_TYPE data_a[];};
@@ -42,42 +40,46 @@ uint fastdiv(uint n, uint mp, uint L) {
return (msbs + n) >> L;
}
uint fastdiv_L(uint packed, uint slot) {
return (packed >> (slot * 8)) & 0x3Fu;
}
uint src0_idx(uint idx) {
const uint i03 = fastdiv(idx, p.ne0_012mp, p.ne0_012L);
const uint i03 = fastdiv(idx, p.ne0_012mp, fastdiv_L(p.ne0_Ls, 0));
const uint i03_offset = i03 * p.ne02*p.ne01*p.ne00;
const uint i02 = fastdiv(idx - i03_offset, p.ne0_01mp, p.ne0_01L);
const uint i02 = fastdiv(idx - i03_offset, p.ne0_01mp, fastdiv_L(p.ne0_Ls, 1));
const uint i02_offset = i02*p.ne01*p.ne00;
const uint i01 = fastdiv(idx - i03_offset - i02_offset, p.ne0_0mp, p.ne0_0L);
const uint i01 = fastdiv(idx - i03_offset - i02_offset, p.ne0_0mp, fastdiv_L(p.ne0_Ls, 2));
const uint i00 = idx - i03_offset - i02_offset - i01*p.ne00;
return i03*p.nb03 + i02*p.nb02 + i01*p.nb01 + i00*p.nb00;
}
uint dst_idx(uint idx) {
const uint i13 = fastdiv(idx, p.ne1_012mp, p.ne1_012L);
const uint i13 = fastdiv(idx, p.ne1_012mp, fastdiv_L(p.ne1_Ls, 0));
const uint i13_offset = i13 * p.ne12*p.ne11*p.ne10;
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, p.ne1_01L);
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, fastdiv_L(p.ne1_Ls, 1));
const uint i12_offset = i12*p.ne11*p.ne10;
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, p.ne1_0L);
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, fastdiv_L(p.ne1_Ls, 2));
const uint i10 = idx - i13_offset - i12_offset - i11*p.ne10;
return i13*p.nb13 + i12*p.nb12 + i11*p.nb11 + i10*p.nb10;
}
uint src0_idx_quant(uint idx, uint qk) {
const uint i03 = fastdiv(idx, p.ne0_012mp, p.ne0_012L);
const uint i03 = fastdiv(idx, p.ne0_012mp, fastdiv_L(p.ne0_Ls, 0));
const uint i03_offset = i03 * p.ne02*p.ne01*p.ne00;
const uint i02 = fastdiv(idx - i03_offset, p.ne0_01mp, p.ne0_01L);
const uint i02 = fastdiv(idx - i03_offset, p.ne0_01mp, fastdiv_L(p.ne0_Ls, 1));
const uint i02_offset = i02*p.ne01*p.ne00;
const uint i01 = fastdiv(idx - i03_offset - i02_offset, p.ne0_0mp, p.ne0_0L);
const uint i01 = fastdiv(idx - i03_offset - i02_offset, p.ne0_0mp, fastdiv_L(p.ne0_Ls, 2));
const uint i00 = idx - i03_offset - i02_offset - i01*p.ne00;
return i03*p.nb03 + i02*p.nb02 + i01*p.nb01 + (i00/qk)*p.nb00;
}
uint dst_idx_quant(uint idx, uint qk) {
const uint i13 = fastdiv(idx, p.ne1_012mp, p.ne1_012L);
const uint i13 = fastdiv(idx, p.ne1_012mp, fastdiv_L(p.ne1_Ls, 0));
const uint i13_offset = i13 * p.ne12*p.ne11*p.ne10;
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, p.ne1_01L);
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, fastdiv_L(p.ne1_Ls, 1));
const uint i12_offset = i12*p.ne11*p.ne10;
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, p.ne1_0L);
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, fastdiv_L(p.ne1_Ls, 2));
const uint i10 = idx - i13_offset - i12_offset - i11*p.ne10;
return i13*p.nb13 + i12*p.nb12 + i11*p.nb11 + (i10/qk)*p.nb10;
}
@@ -15,14 +15,33 @@ layout (push_constant) uniform parameter
uint mode;
float alpha;
float limit;
uint nb00;
uint nb01;
uint nb02;
uint nb03;
uint ne01;
uint ne02;
uint nb10;
uint nb11;
uint nb12;
uint nb13;
uint ne11;
uint ne12;
uint nb20;
uint nb21;
uint nb22;
uint nb23;
uint ne21;
uint ne22;
uint misalign_offsets;
uint ne2_012mp; uint ne2_012L;
uint ne2_01mp; uint ne2_01L;
uint ne2_0mp; uint ne2_0L;
} p;
uint get_aoffset() { return p.misalign_offsets >> 16; }
uint get_boffset() { return (p.misalign_offsets >> 8) & 0xFF; }
uint get_doffset() { return p.misalign_offsets & 0xFF; }
// see init_fastdiv_values in ggml-vulkan.cpp
uint fastdiv(uint n, uint mp, uint L) {
uint msbs, lsbs;
umulExtended(n, mp, msbs, lsbs);
return (msbs + n) >> L;
}
@@ -5,35 +5,31 @@ void main() {
return;
}
const uint row = i / p.ne20;
const uint col = i - row * p.ne20;
const uint i23 = fastdiv(i, p.ne2_012mp, p.ne2_012L);
const uint i23_offset = i23 * p.ne22*p.ne21*p.ne20;
const uint i22 = fastdiv(i - i23_offset, p.ne2_01mp, p.ne2_01L);
const uint i22_offset = i22*p.ne21*p.ne20;
const uint i21 = fastdiv(i - i23_offset - i22_offset, p.ne2_0mp, p.ne2_0L);
const uint i20 = i - i23_offset - i22_offset - i21*p.ne20;
const uint i3 = row / (p.ne01 * p.ne02);
const uint i2 = (row % (p.ne01 * p.ne02)) / p.ne01;
const uint i1 = row % p.ne01;
const uint src_idx = i3 * p.nb03 + i2 * p.nb02 + i1 * p.nb01 + col;
const uint dst_i3 = row / (p.ne11 * p.ne12);
const uint dst_i2 = (row % (p.ne11 * p.ne12)) / p.ne11;
const uint dst_i1 = row % p.ne11;
const uint dst_idx = dst_i3 * p.nb13 + dst_i2 * p.nb12 + dst_i1 * p.nb11 + col;
const uint src_idx_a = get_aoffset() + i23 * p.nb03 + i22 * p.nb02 + i21 * p.nb01 + i20 * p.nb00;
const uint src_idx_b = get_boffset() + i23 * p.nb13 + i22 * p.nb12 + i21 * p.nb11 + i20 * p.nb10;
const uint dst_idx = get_doffset() + i23 * p.nb23 + i22 * p.nb22 + i21 * p.nb21 + i20 * p.nb20;
if (p.mode == 0) {
// Default
const uint offset = p.ne00 / 2;
const uint idx = src_idx;
const uint offset = (p.ne00 / 2) * p.nb00;
const uint idx = src_idx_a;
data_d[dst_idx] = D_TYPE(op(float(data_a[idx]), float(data_a[idx + offset])));
} else if (p.mode == 1) {
// Swapped
const uint offset = p.ne00 / 2;
const uint idx = src_idx;
const uint offset = (p.ne00 / 2) * p.nb00;
const uint idx = src_idx_a;
data_d[dst_idx] = D_TYPE(op(float(data_a[idx + offset]), float(data_a[idx])));
} else {
// Split
const uint idx = src_idx;
data_d[dst_idx] = D_TYPE(op(float(data_a[idx]), float(data_b[idx])));
data_d[dst_idx] = D_TYPE(op(float(data_a[src_idx_a]), float(data_b[src_idx_b])));
}
}
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(min(1.0f, max(0.0f, (x + 3.0f) / 6.0f)));
}
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(x * min(1.0f, max(0.0f, (x + 3.0f) / 6.0f)));
}
@@ -1,20 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(-float(data_a[i]));
}
@@ -1,21 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(max(float(data_a[i]), 0));
}
@@ -13,11 +13,11 @@ void main() {
}
// Destination multi-index (inlined dst_idx)
const uint i13 = fastdiv(idx, p.ne1_012mp, p.ne1_012L);
const uint i13 = fastdiv(idx, p.ne1_012mp, fastdiv_L(p.ne1_Ls, 0));
const uint i13_offset = i13 * p.ne12*p.ne11*p.ne10;
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, p.ne1_01L);
const uint i12 = fastdiv(idx - i13_offset, p.ne1_01mp, fastdiv_L(p.ne1_Ls, 1));
const uint i12_offset = i12*p.ne11*p.ne10;
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, p.ne1_0L);
const uint i11 = fastdiv(idx - i13_offset - i12_offset, p.ne1_0mp, fastdiv_L(p.ne1_Ls, 2));
const uint i10 = idx - i13_offset - i12_offset - i11*p.ne10;
const uint d_idx = i13*p.nb13 + i12*p.nb12 + i11*p.nb11 + i10*p.nb10;
@@ -20,11 +20,11 @@ void main() {
return;
}
const uint i3 = fastdiv(idx, p.ne1_012mp, p.ne1_012L);
const uint i3 = fastdiv(idx, p.ne1_012mp, fastdiv_L(p.ne1_Ls, 0));
const uint i3_offset = i3 * p.ne12*p.ne11*p.ne10;
const uint i2 = fastdiv(idx - i3_offset, p.ne1_01mp, p.ne1_01L);
const uint i2 = fastdiv(idx - i3_offset, p.ne1_01mp, fastdiv_L(p.ne1_Ls, 1));
const uint i2_offset = i2*p.ne11*p.ne10;
const uint i1 = fastdiv(idx - i3_offset - i2_offset, p.ne1_0mp, p.ne1_0L);
const uint i1 = fastdiv(idx - i3_offset - i2_offset, p.ne1_0mp, fastdiv_L(p.ne1_Ls, 2));
const uint i0 = idx - i3_offset - i2_offset - i1*p.ne10;
const uint p1 = floatBitsToUint(p.param1);
@@ -1,29 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
float result;
// Round halfway cases away from zero as roundf does.
if (x >= 0.0) {
result = floor(x + 0.5);
} else {
result = ceil(x - 0.5);
}
data_d[i] = D_TYPE(result);
}
@@ -1,21 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(sign(float(data_a[i])));
}
@@ -1,20 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(1. / (1 + exp(-1. * float(data_a[i]))));
}
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float xi = float(data_a[i]);
data_d[i] = D_TYPE(xi / (1.0f + exp(-xi)));
}
@@ -1,23 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
const float result = (x > 20.0f) ? x : log(1.0f + exp(x));
data_d[i] = D_TYPE(result);
}
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(x >= 0.0f ? 1.0f : 0.0f);
}
@@ -1,20 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
data_d[i] = D_TYPE(1. - 2. / (exp(2.*float(data_a[i])) + 1.));
}
+3 -3
View File
@@ -17,11 +17,11 @@ void main() {
return;
}
const uint i03 = fastdiv(idx, p.ne0_012mp, p.ne0_012L);
const uint i03 = fastdiv(idx, p.ne0_012mp, fastdiv_L(p.ne0_Ls, 0));
const uint i03_offset = i03 * p.ne02*p.ne01*p.ne00;
const uint i02 = fastdiv(idx - i03_offset, p.ne0_01mp, p.ne0_01L);
const uint i02 = fastdiv(idx - i03_offset, p.ne0_01mp, fastdiv_L(p.ne0_Ls, 1));
const uint i02_offset = i02*p.ne01*p.ne00;
const uint i01 = fastdiv(idx - i03_offset - i02_offset, p.ne0_0mp, p.ne0_0L);
const uint i01 = fastdiv(idx - i03_offset - i02_offset, p.ne0_0mp, fastdiv_L(p.ne0_Ls, 2));
const uint i00 = idx - i03_offset - i02_offset - i01*p.ne00;
int param = floatBitsToInt(p.param1);
@@ -1,22 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
const float x = float(data_a[i]);
data_d[i] = D_TYPE(trunc(x));
}
@@ -0,0 +1,144 @@
#version 450
#include "types.glsl"
#include "generic_unary_head.glsl"
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
float op_abs(float x) {
return abs(x);
}
float op_sgn(float x) {
return sign(x);
}
float op_neg(float x) {
return -x;
}
float op_step(float x) {
return x >= 0.0f ? 1.0f : 0.0f;
}
float op_tanh(float x) {
return 1.0f - 2.0f / (exp(2.0f*x) + 1.0f);
}
float op_elu(float x) {
return x < 0.0f ? exp(x) - 1.0f : x;
}
float op_relu(float x) {
return max(x, 0.0f);
}
float op_sigmoid(float x) {
return 1.0f / (1.0f + exp(-x));
}
float op_gelu(float x) {
const float GELU_COEF_A = 0.044715f;
const float SQRT_2_OVER_PI = 0.79788456080286535587989211986876f;
const float val = SQRT_2_OVER_PI*x*(1.0f + GELU_COEF_A*x*x);
return 0.5f*x*(2.0f - 2.0f / (exp(2.0f * val) + 1.0f));
}
float op_gelu_quick(float x) {
const float GELU_QUICK_COEF = -1.702f;
return x * (1.0f / (1.0f + exp(GELU_QUICK_COEF * x)));
}
float op_silu(float x) {
return x / (1.0f + exp(-x));
}
float op_hardswish(float x) {
return x * min(1.0f, max(0.0f, (x + 3.0f) / 6.0f));
}
float op_hardsigmoid(float x) {
return min(1.0f, max(0.0f, (x + 3.0f) / 6.0f));
}
float op_exp(float x) {
return exp(x);
}
float op_expm1(float x) {
// exp(x) - 1 loses many ulps to cancellation near zero. Use a degree-6
// Taylor expansion for |x| <= 1/4: the omitted x^7/5040 term is < 1.3e-8,
// about 0.5 ulp at expm1(0.25), and a host-side f32 model stays within
// 2 ulps over the interval. The first native exp(x)-1 values outside the
// cutoff are about 1 ulp for +0.25 and 2 ulps for -0.25.
if (abs(x) <= 0.25f) {
return x * (1.0f + x * (0.5f + x * ((1.0f/6.0f) + x * ((1.0f/24.0f) + x * ((1.0f/120.0f) + x * (1.0f/720.0f))))));
}
return exp(x) - 1.0f;
}
float op_softplus(float x) {
return (x > 20.0f) ? x : log(1.0f + exp(x));
}
float op_gelu_erf(float a) {
// based on Abramowitz and Stegun formula 7.1.26 or similar Hastings' approximation
const float p_erf = 0.3275911f;
const float a1_erf = 0.254829592f;
const float a2_erf = -0.284496736f;
const float a3_erf = 1.421413741f;
const float a4_erf = -1.453152027f;
const float a5_erf = 1.061405429f;
const float SQRT_2_INV = 0.70710678118654752440084436210484f;
const float a_div_sqr2 = a * SQRT_2_INV;
const float sign_x = sign(a_div_sqr2);
const float x = abs(a_div_sqr2);
const float t = 1.0f / (1.0f + p_erf * x);
const float y = 1.0f - (((((a5_erf * t + a4_erf) * t) + a3_erf) * t + a2_erf) * t + a1_erf) * t * exp(-x * x);
return 0.5f * a * (1.0f + sign_x * y);
}
float op_xielu(float x) {
const float alpha_n = p.param1;
const float alpha_p = p.param2;
const float beta = p.param3;
const float eps = p.param4;
if (x > 0.0f) {
return alpha_p * x * x + beta * x;
}
const float min_x_eps = min(x, eps);
return (op_expm1(min_x_eps) - x) * alpha_n + beta * x;
}
float op_floor(float x) {
return floor(x);
}
float op_ceil(float x) {
return ceil(x);
}
float op_round(float x) {
// Round halfway cases away from zero as roundf does.
return x >= 0.0f ? floor(x + 0.5f) : ceil(x - 0.5f);
}
float op_trunc(float x) {
return trunc(x);
}
void main() {
const uint idx = get_idx();
if (idx >= p.ne) {
return;
}
const uint a_idx = get_aoffset() + src0_idx(idx);
const uint d_idx = get_doffset() + dst_idx(idx);
data_d[d_idx] = D_TYPE(OP(float(data_a[a_idx])));
}
@@ -868,47 +868,49 @@ void process_shaders() {
string_to_spv("upscale_f32", "upscale.comp", {{"A_TYPE", "float"}, {"B_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("exp_f16", "exp.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("exp_f32", "exp.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("exp_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_exp"}});
string_to_spv("exp_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_exp"}});
string_to_spv("expm1_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_expm1"}});
string_to_spv("expm1_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_expm1"}});
string_to_spv("log_f16", "log.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("log_f32", "log.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("gelu_f16", "gelu.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("gelu_f32", "gelu.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("gelu_erf_f16", "gelu_erf.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("gelu_erf_f32", "gelu_erf.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("gelu_quick_f16", "gelu_quick.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("gelu_quick_f32", "gelu_quick.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("silu_f16", "silu.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("silu_f32", "silu.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("relu_f16", "relu.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("relu_f32", "relu.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("neg_f16", "neg.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("neg_f32", "neg.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("tanh_f16", "tanh.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("tanh_f32", "tanh.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("sigmoid_f16", "sigmoid.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("sigmoid_f32", "sigmoid.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("hardsigmoid_f16","hardsigmoid.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("hardsigmoid_f32","hardsigmoid.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("hardswish_f16", "hardswish.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("hardswish_f32", "hardswish.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("abs_f16", "abs.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("abs_f32", "abs.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("elu_f16", "elu.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("elu_f32", "elu.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("xielu_f16", "xielu.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("xielu_f32", "xielu.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("sgn_f16", "sgn.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("sgn_f32", "sgn.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("gelu_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_gelu"}});
string_to_spv("gelu_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_gelu"}});
string_to_spv("gelu_erf_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_gelu_erf"}});
string_to_spv("gelu_erf_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_gelu_erf"}});
string_to_spv("gelu_quick_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_gelu_quick"}});
string_to_spv("gelu_quick_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_gelu_quick"}});
string_to_spv("silu_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_silu"}});
string_to_spv("silu_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_silu"}});
string_to_spv("relu_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_relu"}});
string_to_spv("relu_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_relu"}});
string_to_spv("neg_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_neg"}});
string_to_spv("neg_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_neg"}});
string_to_spv("tanh_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_tanh"}});
string_to_spv("tanh_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_tanh"}});
string_to_spv("sigmoid_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_sigmoid"}});
string_to_spv("sigmoid_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_sigmoid"}});
string_to_spv("hardsigmoid_f16","unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_hardsigmoid"}});
string_to_spv("hardsigmoid_f32","unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_hardsigmoid"}});
string_to_spv("hardswish_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_hardswish"}});
string_to_spv("hardswish_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_hardswish"}});
string_to_spv("abs_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_abs"}});
string_to_spv("abs_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_abs"}});
string_to_spv("elu_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_elu"}});
string_to_spv("elu_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_elu"}});
string_to_spv("xielu_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_xielu"}});
string_to_spv("xielu_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_xielu"}});
string_to_spv("sgn_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_sgn"}});
string_to_spv("sgn_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_sgn"}});
string_to_spv("tri_f16", "tri.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("tri_f32", "tri.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("diag_f16", "diag.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("diag_f32", "diag.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("softplus_f16", "softplus.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("softplus_f32", "softplus.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("softplus_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_softplus"}});
string_to_spv("softplus_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_softplus"}});
string_to_spv("add1_f16_f16", "add1.comp", {{"A_TYPE", "float16_t"}, {"B_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"FLOAT_TYPE", "float"}});
string_to_spv("add1_f16_f32", "add1.comp", {{"A_TYPE", "float16_t"}, {"B_TYPE", "float"}, {"D_TYPE", "float16_t"}, {"FLOAT_TYPE", "float"}});
@@ -916,16 +918,16 @@ void process_shaders() {
string_to_spv("arange_f32", "arange.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"FLOAT_TYPE", "float"}});
string_to_spv("fill_f32", "fill.comp", {{"D_TYPE", "float"}, {"FLOAT_TYPE", "float"}});
string_to_spv("fill_f16", "fill.comp", {{"D_TYPE", "float16_t"}, {"FLOAT_TYPE", "float"}});
string_to_spv("step_f16", "step.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("step_f32", "step.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("round_f16", "round.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("round_f32", "round.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("ceil_f16", "ceil.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("ceil_f32", "ceil.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("floor_f16", "floor.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("floor_f32", "floor.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("trunc_f16", "trunc.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("trunc_f32", "trunc.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
string_to_spv("step_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_step"}});
string_to_spv("step_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_step"}});
string_to_spv("round_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_round"}});
string_to_spv("round_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_round"}});
string_to_spv("ceil_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_ceil"}});
string_to_spv("ceil_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_ceil"}});
string_to_spv("floor_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_floor"}});
string_to_spv("floor_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_floor"}});
string_to_spv("trunc_f16", "unary.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}, {"OP", "op_trunc"}});
string_to_spv("trunc_f32", "unary.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}, {"OP", "op_trunc"}});
string_to_spv("geglu_f16", "geglu.comp", {{"A_TYPE", "float16_t"}, {"D_TYPE", "float16_t"}});
string_to_spv("geglu_f32", "geglu.comp", {{"A_TYPE", "float"}, {"D_TYPE", "float"}});
@@ -1,35 +0,0 @@
#version 450
#include "generic_head.glsl"
#include "types.glsl"
#extension GL_EXT_control_flow_attributes : enable
layout(local_size_x = 512, local_size_y = 1, local_size_z = 1) in;
layout (binding = 0) readonly buffer X {A_TYPE data_a[];};
layout (binding = 1) writeonly buffer D {D_TYPE data_d[];};
void main() {
const uint i = gl_GlobalInvocationID.z * 262144 + gl_GlobalInvocationID.y * 512 + gl_GlobalInvocationID.x;
if (i >= p.KX) {
return;
}
float x = float(data_a[i]);
float alpha_n = p.param1;
float alpha_p = p.param2;
float beta = p.param3;
float eps = p.param4;
if (x > 0.0f) {
x = alpha_p * x * x + beta * x;
} else {
const float min_x_eps = min(x, eps);
x = (exp(min_x_eps) - 1 - x) * alpha_n + beta * x;
}
data_d[i] = D_TYPE(x);
}