1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
|
//TEST(compute, vulkan):COMPARE_COMPUTE_EX:-vk -compute -shaderobj -output-using-type
//TEST(compute):COMPARE_COMPUTE_EX:-slang -compute -shaderobj -output-using-type
//TEST(compute):COMPARE_COMPUTE_EX:-wgpu -compute -output-using-type
//TEST(compute):COMPARE_COMPUTE_EX:-cuda -compute -shaderobj -output-using-type
//TEST_INPUT:ubuffer(data=[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0], stride=4):out,name=outputBuffer
RWStructuredBuffer<float> outputBuffer;
typedef DifferentialPair<float> dpfloat;
typedef DifferentialPair<float2> dpfloat2;
[BackwardDifferentiable]
float diffCopysign(float x, float y)
{
return copysign(x, y);
}
[BackwardDifferentiable]
float2 diffCopysign(float2 x, float2 y)
{
return copysign(x, y);
}
[numthreads(1, 1, 1)]
void computeMain(uint3 dispatchThreadID: SV_DispatchThreadID)
{
// Test 1: forward diff copysign(3.0, -1.0) with dx=2.0, dy=1.0
{
dpfloat dpx = dpfloat(3.0, 2.0);
dpfloat dpy = dpfloat(-1.0, 1.0);
dpfloat res = __fwd_diff(diffCopysign)(dpx, dpy);
outputBuffer[0] = res.p;
outputBuffer[1] = res.d;
}
// Test 2: forward diff copysign(-2.0, 4.0) with dx=1.5, dy=-0.5
{
dpfloat dpx = dpfloat(-2.0, 1.5);
dpfloat dpy = dpfloat(4.0, -0.5);
dpfloat res = __fwd_diff(diffCopysign)(dpx, dpy);
outputBuffer[2] = res.p;
outputBuffer[3] = res.d;
}
// Test 3: forward diff copysign(0.0, -1.0) with dx=3.0, dy=2.0
{
dpfloat dpx = dpfloat(0.0, 3.0);
dpfloat dpy = dpfloat(-1.0, 2.0);
dpfloat res = __fwd_diff(diffCopysign)(dpx, dpy);
outputBuffer[4] = res.p;
outputBuffer[5] = res.d;
}
// Test 4: vector forward diff
{
dpfloat2 dpx = dpfloat2(float2(5.0, -3.0), float2(1.0, 2.0));
dpfloat2 dpy = dpfloat2(float2(-2.0, 4.0), float2(0.5, -1.0));
dpfloat2 res = __fwd_diff(diffCopysign)(dpx, dpy);
outputBuffer[6] = res.p[0];
outputBuffer[7] = res.d[0];
outputBuffer[8] = res.p[1];
outputBuffer[9] = res.d[1];
}
// Test 5: backward diff copysign(4.0, -2.0)
{
dpfloat dpx = dpfloat(4.0, 0.0);
dpfloat dpy = dpfloat(-2.0, 0.0);
__bwd_diff(diffCopysign)(dpx, dpy, 1.0);
outputBuffer[10] = dpx.d;
outputBuffer[11] = dpy.d;
}
// Test 6: backward diff copysign(-3.0, 5.0)
{
dpfloat dpx = dpfloat(-3.0, 0.0);
dpfloat dpy = dpfloat(5.0, 0.0);
__bwd_diff(diffCopysign)(dpx, dpy, 2.0);
outputBuffer[12] = dpx.d;
outputBuffer[13] = dpy.d;
}
// Test 7: copysign with y=0 - derivative should be 0
{
dpfloat dpx = dpfloat(3.0, 2.0);
dpfloat dpy = dpfloat(0.0, 1.0);
dpfloat res = __fwd_diff(diffCopysign)(dpx, dpy);
outputBuffer[14] = res.p;
outputBuffer[15] = res.d;
}
// Test 8: copysign with x=0 - derivative should be 0
{
dpfloat dpx = dpfloat(0.0, 2.0);
dpfloat dpy = dpfloat(-1.0, 1.0);
dpfloat res = __fwd_diff(diffCopysign)(dpx, dpy);
outputBuffer[16] = res.p;
outputBuffer[17] = res.d;
}
// Test 9: vector backward diff
{
dpfloat2 dpx = dpfloat2(float2(2.0, -1.0), float2(0.0, 0.0));
dpfloat2 dpy = dpfloat2(float2(-3.0, 4.0), float2(0.0, 0.0));
__bwd_diff(diffCopysign)(dpx, dpy, float2(1.0, 3.0));
outputBuffer[18] = dpx.d[0];
outputBuffer[19] = dpx.d[1];
}
}
|
