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
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
|
// Copyright 2014 Citra Emulator Project
// Licensed under GPLv2
// Refer to the license.txt file included.
#include <algorithm>
#include "common/common_types.h"
#include "math.h"
#include "pica.h"
#include "rasterizer.h"
#include "vertex_shader.h"
#include "debug_utils/debug_utils.h"
namespace Pica {
namespace Rasterizer {
static void DrawPixel(int x, int y, const Math::Vec4<u8>& color) {
u32* color_buffer = (u32*)Memory::GetPointer(registers.framebuffer.GetColorBufferAddress());
u32 value = (color.a() << 24) | (color.r() << 16) | (color.g() << 8) | color.b();
// Assuming RGBA8 format until actual framebuffer format handling is implemented
*(color_buffer + x + y * registers.framebuffer.GetWidth() / 2) = value;
}
static u32 GetDepth(int x, int y) {
u16* depth_buffer = (u16*)Memory::GetPointer(registers.framebuffer.GetDepthBufferAddress());
// Assuming 16-bit depth buffer format until actual format handling is implemented
return *(depth_buffer + x + y * registers.framebuffer.GetWidth() / 2);
}
static void SetDepth(int x, int y, u16 value) {
u16* depth_buffer = (u16*)Memory::GetPointer(registers.framebuffer.GetDepthBufferAddress());
// Assuming 16-bit depth buffer format until actual format handling is implemented
*(depth_buffer + x + y * registers.framebuffer.GetWidth() / 2) = value;
}
void ProcessTriangle(const VertexShader::OutputVertex& v0,
const VertexShader::OutputVertex& v1,
const VertexShader::OutputVertex& v2)
{
// NOTE: Assuming that rasterizer coordinates are 12.4 fixed-point values
struct Fix12P4 {
Fix12P4() {}
Fix12P4(u16 val) : val(val) {}
static u16 FracMask() { return 0xF; }
static u16 IntMask() { return (u16)~0xF; }
operator u16() const {
return val;
}
bool operator < (const Fix12P4& oth) const {
return (u16)*this < (u16)oth;
}
private:
u16 val;
};
// vertex positions in rasterizer coordinates
auto FloatToFix = [](float24 flt) {
return Fix12P4(flt.ToFloat32() * 16.0f);
};
auto ScreenToRasterizerCoordinates = [FloatToFix](const Math::Vec3<float24> vec) {
return Math::Vec3<Fix12P4>{FloatToFix(vec.x), FloatToFix(vec.y), FloatToFix(vec.z)};
};
Math::Vec3<Fix12P4> vtxpos[3]{ ScreenToRasterizerCoordinates(v0.screenpos),
ScreenToRasterizerCoordinates(v1.screenpos),
ScreenToRasterizerCoordinates(v2.screenpos) };
// TODO: Proper scissor rect test!
u16 min_x = std::min({vtxpos[0].x, vtxpos[1].x, vtxpos[2].x});
u16 min_y = std::min({vtxpos[0].y, vtxpos[1].y, vtxpos[2].y});
u16 max_x = std::max({vtxpos[0].x, vtxpos[1].x, vtxpos[2].x});
u16 max_y = std::max({vtxpos[0].y, vtxpos[1].y, vtxpos[2].y});
min_x &= Fix12P4::IntMask();
min_y &= Fix12P4::IntMask();
max_x = ((max_x + Fix12P4::FracMask()) & Fix12P4::IntMask());
max_y = ((max_y + Fix12P4::FracMask()) & Fix12P4::IntMask());
// Triangle filling rules: Pixels on the right-sided edge or on flat bottom edges are not
// drawn. Pixels on any other triangle border are drawn. This is implemented with three bias
// values which are added to the barycentric coordinates w0, w1 and w2, respectively.
// NOTE: These are the PSP filling rules. Not sure if the 3DS uses the same ones...
auto IsRightSideOrFlatBottomEdge = [](const Math::Vec2<Fix12P4>& vtx,
const Math::Vec2<Fix12P4>& line1,
const Math::Vec2<Fix12P4>& line2)
{
if (line1.y == line2.y) {
// just check if vertex is above us => bottom line parallel to x-axis
return vtx.y < line1.y;
} else {
// check if vertex is on our left => right side
// TODO: Not sure how likely this is to overflow
return (int)vtx.x < (int)line1.x + ((int)line2.x - (int)line1.x) * ((int)vtx.y - (int)line1.y) / ((int)line2.y - (int)line1.y);
}
};
int bias0 = IsRightSideOrFlatBottomEdge(vtxpos[0].xy(), vtxpos[1].xy(), vtxpos[2].xy()) ? -1 : 0;
int bias1 = IsRightSideOrFlatBottomEdge(vtxpos[1].xy(), vtxpos[2].xy(), vtxpos[0].xy()) ? -1 : 0;
int bias2 = IsRightSideOrFlatBottomEdge(vtxpos[2].xy(), vtxpos[0].xy(), vtxpos[1].xy()) ? -1 : 0;
// TODO: Not sure if looping through x first might be faster
for (u16 y = min_y; y < max_y; y += 0x10) {
for (u16 x = min_x; x < max_x; x += 0x10) {
// Calculate the barycentric coordinates w0, w1 and w2
auto orient2d = [](const Math::Vec2<Fix12P4>& vtx1,
const Math::Vec2<Fix12P4>& vtx2,
const Math::Vec2<Fix12P4>& vtx3) {
const auto vec1 = Math::MakeVec(vtx2 - vtx1, 0);
const auto vec2 = Math::MakeVec(vtx3 - vtx1, 0);
// TODO: There is a very small chance this will overflow for sizeof(int) == 4
return Math::Cross(vec1, vec2).z;
};
int w0 = bias0 + orient2d(vtxpos[1].xy(), vtxpos[2].xy(), {x, y});
int w1 = bias1 + orient2d(vtxpos[2].xy(), vtxpos[0].xy(), {x, y});
int w2 = bias2 + orient2d(vtxpos[0].xy(), vtxpos[1].xy(), {x, y});
int wsum = w0 + w1 + w2;
// If current pixel is not covered by the current primitive
if (w0 < 0 || w1 < 0 || w2 < 0)
continue;
// Perspective correct attribute interpolation:
// Attribute values cannot be calculated by simple linear interpolation since
// they are not linear in screen space. For example, when interpolating a
// texture coordinate across two vertices, something simple like
// u = (u0*w0 + u1*w1)/(w0+w1)
// will not work. However, the attribute value divided by the
// clipspace w-coordinate (u/w) and and the inverse w-coordinate (1/w) are linear
// in screenspace. Hence, we can linearly interpolate these two independently and
// calculate the interpolated attribute by dividing the results.
// I.e.
// u_over_w = ((u0/v0.pos.w)*w0 + (u1/v1.pos.w)*w1)/(w0+w1)
// one_over_w = (( 1/v0.pos.w)*w0 + ( 1/v1.pos.w)*w1)/(w0+w1)
// u = u_over_w / one_over_w
//
// The generalization to three vertices is straightforward in baricentric coordinates.
auto GetInterpolatedAttribute = [&](float24 attr0, float24 attr1, float24 attr2) {
auto attr_over_w = Math::MakeVec(attr0 / v0.pos.w,
attr1 / v1.pos.w,
attr2 / v2.pos.w);
auto w_inverse = Math::MakeVec(float24::FromFloat32(1.f) / v0.pos.w,
float24::FromFloat32(1.f) / v1.pos.w,
float24::FromFloat32(1.f) / v2.pos.w);
auto baricentric_coordinates = Math::MakeVec(float24::FromFloat32(w0),
float24::FromFloat32(w1),
float24::FromFloat32(w2));
float24 interpolated_attr_over_w = Math::Dot(attr_over_w, baricentric_coordinates);
float24 interpolated_w_inverse = Math::Dot(w_inverse, baricentric_coordinates);
return interpolated_attr_over_w / interpolated_w_inverse;
};
Math::Vec4<u8> primary_color{
(u8)(GetInterpolatedAttribute(v0.color.r(), v1.color.r(), v2.color.r()).ToFloat32() * 255),
(u8)(GetInterpolatedAttribute(v0.color.g(), v1.color.g(), v2.color.g()).ToFloat32() * 255),
(u8)(GetInterpolatedAttribute(v0.color.b(), v1.color.b(), v2.color.b()).ToFloat32() * 255),
(u8)(GetInterpolatedAttribute(v0.color.a(), v1.color.a(), v2.color.a()).ToFloat32() * 255)
};
Math::Vec4<u8> texture_color{};
float24 u = GetInterpolatedAttribute(v0.tc0.u(), v1.tc0.u(), v2.tc0.u());
float24 v = GetInterpolatedAttribute(v0.tc0.v(), v1.tc0.v(), v2.tc0.v());
if (registers.texturing_enable) {
// Images are split into 8x8 tiles. Each tile is composed of four 4x4 subtiles each
// of which is composed of four 2x2 subtiles each of which is composed of four texels.
// Each structure is embedded into the next-bigger one in a diagonal pattern, e.g.
// texels are laid out in a 2x2 subtile like this:
// 2 3
// 0 1
//
// The full 8x8 tile has the texels arranged like this:
//
// 42 43 46 47 58 59 62 63
// 40 41 44 45 56 57 60 61
// 34 35 38 39 50 51 54 55
// 32 33 36 37 48 49 52 53
// 10 11 14 15 26 27 30 31
// 08 09 12 13 24 25 28 29
// 02 03 06 07 18 19 22 23
// 00 01 04 05 16 17 20 21
// TODO: This is currently hardcoded for RGB8
u32* texture_data = (u32*)Memory::GetPointer(registers.texture0.GetPhysicalAddress());
// TODO(neobrain): Not sure if this swizzling pattern is used for all textures.
// To be flexible in case different but similar patterns are used, we keep this
// somewhat inefficient code around for now.
int s = (int)(u * float24::FromFloat32(registers.texture0.width)).ToFloat32();
int t = (int)(v * float24::FromFloat32(registers.texture0.height)).ToFloat32();
int texel_index_within_tile = 0;
for (int block_size_index = 0; block_size_index < 3; ++block_size_index) {
int sub_tile_width = 1 << block_size_index;
int sub_tile_height = 1 << block_size_index;
int sub_tile_index = (s & sub_tile_width) << block_size_index;
sub_tile_index += 2 * ((t & sub_tile_height) << block_size_index);
texel_index_within_tile += sub_tile_index;
}
const int block_width = 8;
const int block_height = 8;
int coarse_s = (s / block_width) * block_width;
int coarse_t = (t / block_height) * block_height;
const int row_stride = registers.texture0.width * 3;
u8* source_ptr = (u8*)texture_data + coarse_s * block_height * 3 + coarse_t * row_stride + texel_index_within_tile * 3;
texture_color.r() = source_ptr[2];
texture_color.g() = source_ptr[1];
texture_color.b() = source_ptr[0];
texture_color.a() = 0xFF;
DebugUtils::DumpTexture(registers.texture0, (u8*)texture_data);
}
// Texture environment - consists of 6 stages of color and alpha combining.
//
// Color combiners take three input color values from some source (e.g. interpolated
// vertex color, texture color, previous stage, etc), perform some very simple
// operations on each of them (e.g. inversion) and then calculate the output color
// with some basic arithmetic. Alpha combiners can be configured separately but work
// analogously.
Math::Vec4<u8> combiner_output;
for (auto tev_stage : registers.GetTevStages()) {
using Source = Regs::TevStageConfig::Source;
using ColorModifier = Regs::TevStageConfig::ColorModifier;
using AlphaModifier = Regs::TevStageConfig::AlphaModifier;
using Operation = Regs::TevStageConfig::Operation;
auto GetColorSource = [&](Source source) -> Math::Vec3<u8> {
switch (source) {
case Source::PrimaryColor:
return primary_color.rgb();
case Source::Texture0:
return texture_color.rgb();
case Source::Constant:
return {tev_stage.const_r, tev_stage.const_g, tev_stage.const_b};
case Source::Previous:
return combiner_output.rgb();
default:
ERROR_LOG(GPU, "Unknown color combiner source %d\n", (int)source);
return {};
}
};
auto GetAlphaSource = [&](Source source) -> u8 {
switch (source) {
case Source::PrimaryColor:
return primary_color.a();
case Source::Texture0:
return texture_color.a();
case Source::Constant:
return tev_stage.const_a;
case Source::Previous:
return combiner_output.a();
default:
ERROR_LOG(GPU, "Unknown alpha combiner source %d\n", (int)source);
return 0;
}
};
auto GetColorModifier = [](ColorModifier factor, const Math::Vec3<u8>& values) -> Math::Vec3<u8> {
switch (factor)
{
case ColorModifier::SourceColor:
return values;
default:
ERROR_LOG(GPU, "Unknown color factor %d\n", (int)factor);
return {};
}
};
auto GetAlphaModifier = [](AlphaModifier factor, u8 value) -> u8 {
switch (factor) {
case AlphaModifier::SourceAlpha:
return value;
default:
ERROR_LOG(GPU, "Unknown color factor %d\n", (int)factor);
return 0;
}
};
auto ColorCombine = [](Operation op, const Math::Vec3<u8> input[3]) -> Math::Vec3<u8> {
switch (op) {
case Operation::Replace:
return input[0];
case Operation::Modulate:
return ((input[0] * input[1]) / 255).Cast<u8>();
default:
ERROR_LOG(GPU, "Unknown color combiner operation %d\n", (int)op);
return {};
}
};
auto AlphaCombine = [](Operation op, const std::array<u8,3>& input) -> u8 {
switch (op) {
case Operation::Replace:
return input[0];
case Operation::Modulate:
return input[0] * input[1] / 255;
default:
ERROR_LOG(GPU, "Unknown alpha combiner operation %d\n", (int)op);
return 0;
}
};
// color combiner
// NOTE: Not sure if the alpha combiner might use the color output of the previous
// stage as input. Hence, we currently don't directly write the result to
// combiner_output.rgb(), but instead store it in a temporary variable until
// alpha combining has been done.
Math::Vec3<u8> color_result[3] = {
GetColorModifier(tev_stage.color_modifier1, GetColorSource(tev_stage.color_source1)),
GetColorModifier(tev_stage.color_modifier2, GetColorSource(tev_stage.color_source2)),
GetColorModifier(tev_stage.color_modifier3, GetColorSource(tev_stage.color_source3))
};
auto color_output = ColorCombine(tev_stage.color_op, color_result);
// alpha combiner
std::array<u8,3> alpha_result = {
GetAlphaModifier(tev_stage.alpha_modifier1, GetAlphaSource(tev_stage.alpha_source1)),
GetAlphaModifier(tev_stage.alpha_modifier2, GetAlphaSource(tev_stage.alpha_source2)),
GetAlphaModifier(tev_stage.alpha_modifier3, GetAlphaSource(tev_stage.alpha_source3))
};
auto alpha_output = AlphaCombine(tev_stage.alpha_op, alpha_result);
combiner_output = Math::MakeVec(color_output, alpha_output);
}
// TODO: Not sure if the multiplication by 65535 has already been taken care
// of when transforming to screen coordinates or not.
u16 z = (u16)(((float)v0.screenpos[2].ToFloat32() * w0 +
(float)v1.screenpos[2].ToFloat32() * w1 +
(float)v2.screenpos[2].ToFloat32() * w2) * 65535.f / wsum);
SetDepth(x >> 4, y >> 4, z);
DrawPixel(x >> 4, y >> 4, combiner_output);
}
}
}
} // namespace Rasterizer
} // namespace Pica
|