The same way as Gouraud color: a gradient along the major axis from the
setup reciprocal, and each pixel's value from its center's signed distance
from v0, so an endpoint's pixel extrapolates past the endpoint's depth
(gpu/probe exp170, exact; it had 435 wrong pixels). Coded Arms' (ULUS10019)
last pixel, where a short line passed a GEQUAL test, and SOCOM's line depth.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Which side an edge is on decides whether a pixel center exactly on it is
inside. The test divided with truncation, so a vertex 0.2 subpixels left of
the opposite edge counted as on it, and a thin triangle's right edge became
inclusive. Peace Walker (ULUS10509), ULJM05302 and mali_missing_circle PSP
replays become exact.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
With no steps along the line, both endpoint weights were zero, so fog (and
UVs) interpolated to zero: full fog. SOCOM's (UCUS98649) radar lines, a few
pixels long in an orthographic view, came out in the fog color.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
An endpoint exactly on the left or right corner of a pixel's diamond (top
or bottom for y-major lines) doesn't count as inside it: the pixel is lit
only if the line crosses the diamond (gpu/probe exp149). Makes exp72,
Virtua Tennis and echochrome exact.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Next to an edge between two z = 0 vertices, the floored depth plane can
come out -1. The GE stores and range-tests 0 there, in through and
transform mode, with depth clamp on or off (gpu/probe exp148). Fixes a
seam across the sky in Frontier Gate Boost.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The forced alpha test for src alpha / inv src alpha blending assumed a
zero alpha pixel leaves the target unchanged, but with dithering on the
GE still writes dst + dither (gpu/probe exp141). Makes the Test Drive
(ULUS10249) frame dump exact.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
A line's color gradient along its major axis comes from the triangle
setup's reciprocal, with 14 fraction bits per subpixel, floored, and each
pixel is the start color plus the gradient times its center's signed
distance from v0 along the line. A diagonal line (|dx| == |dy|) is
y-major. gpu/probe exp137, exact; fixes the line strips in a Final Fantasy
Zero frame dump.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
When a triangle's long edge (top to bottom vertex) has 3 dy > 2^17 in
screen subpixels, the GE lights the first pixel of each 4-pixel span along
it (the last, for a right edge) when any of the span is inside, likely an
overflowing 3 dy span offset. Bottom ties end the long edge at the left
vertex. Such triangles take a scalar mask path. gpu/probe exp130-135, exact;
none of 216 frame dumps has such a triangle.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The GE builds a sprite's UV plane from three corners whose s, t and q it
takes component by component from the two vertices: s from the vertex that
supplies the corner's x, t from the one that supplies its y (swapped when the
sprite is rotated), and q from the one that supplies its x. With different w
at the two vertices that bends the mapping; we used v1's w at every corner.
gpu/probe exp129: all four vertex orders at w = 1, 2.7 and differing w, exact.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
A sprite drawn from bottom left to top right is rotated: its first row
rounds like a column ((y + 6) >> 4), and its UV plane comes from v0, v1 and
the bottom right corner, anchoring it at the bottom left. The other three
vertex orders were already exact (gpu/probe exp121-122, through and
transform mode). Fixes the last differences in an MGS frame dump (HUD
sprites).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Which boundary points of a pixel's diamond count as inside is transposed for
y-major lines: the left corner, the edges beside it and the top corner,
where x-major lines use the top corner, its edges and the left corner. exp72
went from 12 differing pixels to 1, and antialiased lines (exp112, same
pixels) from 117 to 101.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The float24 truncations, reciprocal and rsqrt tables, GE adder and row sums,
the setup reciprocal for planes, the mip log2, texture coordinate precision,
the lighting pow and color scaling, and the antialiased line alpha, from
TransformUnit, Rasterizer and Lighting, so they can be unit tested. No
behavior change.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Antialiased lines light the same pixels as plain ones, and each pixel's
alpha (replacing the vertex alpha) is 128 - |v|, v the largest integer
below 256 times the pixel center's offset from the line along the minor
axis (gpu/probe exp112: about 98% of line pixels exact, through and
transform mode; the rest look like the GE's stepper). Echochrome's MSE
against the PSP goes from 170 to 0.12.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The GE picks a triangle pixel's mip level (auto and slope modes) with the q
at the second pixel of its row's four-pixel span in the direction it walks
the row: x = 4k + 1 left to right, but 4k + 2 for triangles whose long edge
is the right side (the same condition as the plane anchor). When that pixel
is outside the triangle, the span's first covered pixel in that order. Auto
LOD under perspective is exact (gpu/probe exp93, exp103-106, the latter built
from a GTA LCS triangle), and the slope mode probes stay exact.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The check ANDs every CLUT entry, but took any common bit as proof that no
alpha is zero, so a white palette with alphas 0, 0x10, ... lost its alpha
test. Only the alpha bits count now. Ace Combat's subtitles become bit exact
against the PSP.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The auto level is the largest of the four UV gradients (du/dx, du/dy, dv/dx,
dv/dy) in texels per pixel, taken from the s and t planes, minus the pixel's
q, both through the GE's float-bits log2 (gpu/probe exp92: exact for affine
mappings at any rotation and anisotropy). Before, only du/dx and dv/dy from a
2x2 quad's differences counted. Under perspective (exp93) about 14% of
pixels are still a sixteenth of a level off.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
With separate specular lighting and color doubling, the GE doubles the
secondary color as well (gpu/probe exp86, exact for modulate, add and
replace).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
A perspective u = s * R(q) keeps 24 significant bits, truncated, instead of
a float24's 16 (gpu/probe exp82: large UVs from a texture matrix, as NFS Most
Wanted uses). Through-mode points keep 15 bits of their UVs, as the UV planes
do for triangles (exp83, exp84).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The 8-bit fog of each vertex goes through the same plane as depth and color.
Bit exact on gpu/probe exp21 (all 9 cases, from 94-98%).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
A pixel is lit when the line passes through its diamond and doesn't end inside
it, with points on the top corner, its two edges and the left corner counting
as inside (also where the line only touches the diamond). Exact for 313 of 320
random lines on gpu/probe exp72; a few ties at line ends still differ.
PPSSPP's DDA matched about 20%.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The texture matrix is summed like a position row, and projected texture
coordinates go through the same s, t, q planes as perspective ones, with q
the texture matrix's q over w. Points use the planes too. Bit exact on
gpu/probe exp64-65, except the normalized normal source, whose normalization
isn't matched.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Per pixel, from the interpolated q = 1/w: 16 + log2(slope) - log2(q), both
with the same float-bits log2, plus the bias. Bit exact on gpu/probe
exp58-60, including nearest level rounding.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Sprites interpolate UVs with the same fixed point planes as triangles, and
texture coordinates become texels at 1/16 texel, truncated toward zero, also
in the sampler JIT. Bit exact on gpu/probe exp57 (through mode and transform
mode sprites, nearest and bilinear).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Both use the GE's fixed point depth plane. Color is screen-linear, also in
transform mode, with 8-bit channels as the plane values (gpu/probe exp54). For
perspective UVs, s = u * R(w), t and q = R(w) become 15-bit integers at the
triangle's largest exponent, go through the plane, and u = s * R(q) per pixel
(exp55-56, bit exact at 1/16 texel).
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Bit exact against the PSP on every pixel of gpu/probe exp36-41 (over a million
pixels of large, small, steep and slanted triangles):
- Per triangle, the doubled area's 16-bit significand indexes a 256-segment
reciprocal table, linear over each segment's low 8 bits (measured for all
inputs; not the z/w table).
- The x and y depth gradients are fixed point, 14 fractional bits per
subpixel, from the exact edge cross products times that reciprocal.
- The plane is anchored at the leftmost vertex, or the rightmost when the long
edge (top to bottom) is strictly the right side of the triangle.
- Each pixel takes the plane at its center, floored.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
X and Y now go through the same float24 math as Z: clip coordinates from the
combined matrix (also when lighting needs the world position), the GE's
reciprocal, and the viewport offset added without guard bits, which around
2048 lands on the 1/16 subpixel grid. The 12.4 conversion truncates instead of
rounding up at 10/16.
Triangles are sampled exactly at pixel centers, not 1/16 before them, with left
and top edges inclusive. Sprites start at (x + 6) >> 4 horizontally and
(y + 7) >> 4 vertically and end at (v + 7) >> 4, and their 2x2 loop no longer
treats ties differently by pixel parity. Measured with gpu/probe; against PSP
replays, Coded Arms goes from MSE 33 to 26 and the Test Drive map from 17 to 7.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
The GE converts the fog factor to 8 bits per vertex, min(floor(256 * f), 255),
and interpolates that linearly in screen space. Clamping after interpolation
instead was up to 127 levels off on triangles that cross the fog range.
Measured with gpu/probe; points and wacky values still match exactly.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
Without SSE or NEON, triangle pixels got the secondary color in place of
the primary one plus it, so lit triangles came out black. It showed as
the "unexplained" known failures on riscv64 and loongarch64, and broke
the new gpu/lighting/shademap there. Reproduced on arm64 by building
without NEON.
Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
