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Texture filtering
We'll begin with a series of synthetic tests aimed at exposing the true, delivered throughput of the GPUs. In each instance, we've included a table with the relevant theoretical rates for each solution, for reference.

Peak pixel
fill rate
(Gpixels/s)
Peak
bilinear
filtering
int8/fp16
(Gtexels/s)
Memory
bandwidth
(GB/s)
Radeon HD 5870 27 68/34 154
Radeon HD 6970 28 85/43 176
Radeon HD 7970 30 118/59 264
Radeon R9 280X 32 128/64 288
Radeon R9 290 61 152/86 320
Radeon R9 290X 64 176/88 320
GeForce GTX 770 35 139/139 224
GeForce GTX 780 43 173/173 288
GeForce GTX Titan 42 196/196 288
GeForce GTX 780 Ti 45 223/223 336

This color fill test is usually a better indication of memory bandwidth than anything else. The GTX 780 Ti lives up to its specs here, outperforming the 290X.

Nvidia's new flagship almost runs the tables in our texture sampling and filtering tests. Because the Kepler architecture can do full-rate FP16 filtering, the 780 Ti's lead over the R9 290X becomes commanding when we get into higher-precision color formats.

I'm not quite sure why the 780 Ti trails the GTX 780 and Titan in the FP16 filtering test. I double-checked the results, and they are correct. Could be that the 780 Ti is hitting some kind of thermal limit. That sometimes happens in these directed tests.

Tessellation and geometry throughput

Peak
rasterization
rate
(Gtris/s)
Memory
bandwidth
(GB/s)
Radeon HD 5870 0.9 154
Radeon HD 6970 1.8 176
Radeon HD 7970 1.9 264
Radeon R9 280X 2.0 288
Radeon R9 290 3.8 320
Radeon R9 290X 4.0 320
GeForce GTX 770 4.3 224
GeForce GTX 780 3.6 or 4.5 288
GeForce GTX Titan 4.4 288
GeForce GTX 780 Ti 4.6 336

I still don't have any answers from AMD about why the Hawaii-based products don't handle the higher levels of tessellation in TessMark all that well. Anyhow, the GTX 780 Ti has no such problem, and it cranks through the highly tessellated Unigine benchmark with ease, too.

Shader performance

Peak
shader
arithmetic
rate
(tflops)
Memory
bandwidth
(GB/s)
Radeon HD 5870 2.7 154
Radeon HD 6970 2.7 176
Radeon HD 7970 3.8 264
Radeon R9 280X 4.1 288
Radeon R9 290 4.8 320
Radeon R9 290X 5.6 320
GeForce GTX 770 3.3 224
GeForce GTX 780 4.2 288
GeForce GTX Titan 4.7 288
GeForce GTX 780 Ti 5.3 336

The full-fledged GK110 acquits itself well here, but the R9 290X still has the edge in the majority of our shader tests. ShaderToyMark is probably the most interesting of these tests, and in it, the GTX 780 Ti makes major strides compared to the GTX 780 and Titan.