From f9bca27ec0d881d585e33e8cf3ce4f5c49dcb583 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 3 Sep 2024 11:57:54 -0700 Subject: [PATCH 01/30] add UsdLux-IESAngleScale-FindingsAndQuestions.md --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 417 ++++++++++++++++++ .../iesAngleScale/angleScale_formulas.py | 151 +++++++ ...a-theta_over_1-angleScale_only_clamped.jpg | Bin 0 -> 207894 bytes .../ies_angleScale_Karma_clamped.jpg | Bin 0 -> 211458 bytes .../ies_angleScale_Karma_clamped_+0.00.jpg | Bin 0 -> 146119 bytes .../ies_angleScale_Karma_clamped_+0.25.jpg | Bin 0 -> 145122 bytes .../ies_angleScale_Karma_clamped_+0.50.jpg | Bin 0 -> 144260 bytes .../ies_angleScale_Karma_clamped_+0.75.jpg | Bin 0 -> 142813 bytes .../ies_angleScale_Karma_clamped_+1.00.jpg | Bin 0 -> 134421 bytes .../ies_angleScale_Karma_clamped_-0.25.jpg | Bin 0 -> 144260 bytes .../ies_angleScale_Karma_clamped_-0.50.jpg | Bin 0 -> 142156 bytes .../ies_angleScale_Karma_clamped_-0.75.jpg | Bin 0 -> 139481 bytes .../ies_angleScale_Karma_clamped_-1.00.jpg | Bin 0 -> 134075 bytes .../ies_angleScale_Karma_unclamped.jpg | Bin 0 -> 120221 bytes .../ies_angleScale_Renderman_clamped.jpg | Bin 0 -> 200318 bytes ...ies_angleScale_Renderman_clamped_+0.00.jpg | Bin 0 -> 147577 bytes ...ies_angleScale_Renderman_clamped_+0.25.jpg | Bin 0 -> 146347 bytes ...ies_angleScale_Renderman_clamped_+0.50.jpg | Bin 0 -> 145229 bytes ...ies_angleScale_Renderman_clamped_+0.75.jpg | Bin 0 -> 144491 bytes ...ies_angleScale_Renderman_clamped_+1.00.jpg | Bin 0 -> 143846 bytes ...ies_angleScale_Renderman_clamped_-0.25.jpg | Bin 0 -> 146057 bytes ...ies_angleScale_Renderman_clamped_-0.50.jpg | Bin 0 -> 145413 bytes ...ies_angleScale_Renderman_clamped_-0.75.jpg | Bin 0 -> 143695 bytes ...ies_angleScale_Renderman_clamped_-1.00.jpg | Bin 0 -> 135625 bytes .../ies_angleScale_Renderman_unclamped.jpg | Bin 0 -> 202371 bytes 25 files changed, 568 insertions(+) create mode 100644 pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md create mode 100644 pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma-theta_over_1-angleScale_only_clamped.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_+0.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_+0.25.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_+0.50.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_+0.75.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_+1.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_-0.25.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_-0.50.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_-0.75.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_clamped_-1.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma_unclamped.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_+0.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_+0.25.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_+0.50.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_+0.75.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_+1.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_-0.25.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_-0.50.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_-0.75.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_clamped_-1.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Renderman_unclamped.jpg diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md new file mode 100644 index 00000000000..00cac63b863 --- /dev/null +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -0,0 +1,417 @@ +# ies:AngleScale - findings and questions + +While working to [explicitly specify +UsdLux](https://github.com/PixarAnimationStudios/OpenUSD/pull/3182), we needed +to determine the formula for applying the [ies:angleScale][ies_angleScale_doc]. + +The [version we settled on for our initial PR][pr_iesAngleScale_formula] was: + +$$ \theta_{ies} = \frac{\theta_{light} - \pi}{1 + angleScale} + \pi $$ + +This formula was chosen because it matches the behavior of how RenderMan applies +`ies:angleScale`, as the attribute is presumably derived from the [profile scale +attribute in Renderman.][rman_profile_scale_doc]. + +However, this choice has several drawbacks, so we thought we should share our +findings and solicit advice. + +## Visualization + +To help visualize the effect of the angleScale, I created a [test .ies +file][ies_test_file] consisting of bands of alternating dark/light horizontal +stripes. The bottom (verticalAngle=0) is always .25 (gray-black) and the top +(verticalAngle=180) is always .75 (gray-white). (The horizontal angle space is +also divided into quadrants, but we can ignore horizontal-angle differences for +this discussion.) + +I then placed a light with this IES profile at the center of a sphere, and +rendered the interior of the sphere, from verticalAngle 0° to 180°, to generate +an output that looks like this with no angleScale applied: + + \ +[\[exr\]][ies_test_ref_exr] + +More details on exact rendering procedure can be found in +[this repo][luxtest_repo]. + +## Existing formulas + +### RenderMan + +As noted above, RenderMan appears to use this formula: + +$$ \theta_{ies} = \frac{\theta_{light} - \pi}{1 + angleScale} + \pi $$ + +...which can be rewritten as: + +$$ (\theta_{ies} - \pi)\, (1 + angleScale) = (\theta_{light} - \pi) $$ + +...from which we can see that the relation is a simple scale by +$(1 + angleScale)$, offset so the scale origin is at $(\theta_{light},\ \theta_{ies}) = (\pi,\ \pi)$. + +![ies_angleScale_Renderman_clamped.jpg](ies_angleScale_Renderman_clamped.jpg) + +#### RenderMan: ies:angleScale from -1 to 1 + + +| -1.00 | -0.75 | -0.50 | -0.25 | ~0.00 | +0.25 | +0.50 | +0.75 | +1.00 | +| ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | +| ![RM-1.0_img] | ![RM-.75_img] | ![RM-.50_img] | ![RM-.25_img] | ![RM~.00_img] | ![RM+.25_img] | ![RM+.50_img] | ![RM+.75_img] | ![RM+1.0_img] | +| ![RM-1.0_gph] | ![RM-.75_gph] | ![RM-.50_gph] | ![RM-.25_gph] | ![RM~.00_gph] | ![RM+.25_gph] | ![RM+.50_gph] | ![RM+.75_gph] | ![RM+1.0_gph] | + + +----------------------- + +### Karma + +Karma appears to use this formula, which has different behavior for positive and +negative values of angleScale: + +$$ +\theta_{ies} = +\begin{dcases} + \frac{\theta_{light}}{1 - angleScale}, & \text{if} \quad 0 < angleScale < 1 \\ + \theta_{light} \, (1 + angleScale), & \text{if} \quad -1 < angleScale < 0 \\ + 0, & \text{otherwise} \\ +\end{dcases} +$$ + +These are similar to the RenderMan formula, except there is a switch in behavior +at $angleScale = 0$, and the scaling origin is left at +$(\theta_{light},\ \theta_{ies}) = (0,\ 0)$: + + +![ies_angleScale_Karma_clamped.jpg](ies_angleScale_Karma_clamped.jpg) + + +#### Karma: ies:angleScale from -1 to 1 + +| -1.00 | -0.75 | -0.50 | -0.25 | ~0.00 | +0.25 | +0.50 | +0.75 | +1.00 | +| ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | +| ![Ka-1.0_img] | ![Ka-.75_img] | ![Ka-.50_img] | ![Ka-.25_img] | ![Ka~.00_img] | ![Ka+.25_img] | ![Ka+.50_img] | ![Ka+.75_img] | ![Ka+1.0_img] | +| ![Ka-1.0_gph] | ![Ka-.75_gph] | ![Ka-.50_gph] | ![Ka-.25_gph] | ![Ka~.00_gph] | ![Ka+.25_gph] | ![Ka+.50_gph] | ![Ka+.75_gph] | ![Ka+1.0_gph] | + +----------------------- + +## Analysis of Karma + Renderman formulas + +### Behavior for common use case - spotlights + +Both of these are create linear relationships between $\theta_{light}$ and +$\theta_{ies}$, with the exact scaling factor depending on $angleScale$. + +Further, they both have a fixed scale-origin, though the origin varies between the +two: +- Renderman scale origin: $\theta = \pi$ +- Karma scale origin: $\theta = 0$ + +In the common case of a "spotlight" (or any light with a maximum brightness +centered in a particular direction), the scaling origin direction matters +because, if the scaling origin direction aligns with the light's primary axis, +`ies:angleScale` will behave in a manner artists will likely find intuitive. + +That is, if we have a spotlight where + +$$ iesProfilePrimaryAxis = scaleOrigin $$ + +...then altering the `ies:angleScale` will make the the "cone" seem to broaden +or narrow, in a manner that will "feel" a bit like opening and closing barn +doors on a light. + +However, if the primary axis is NOT aligned to the scaleOrigin, then altering +the `ies:angleScale` will make the light behave in a way that is likely less +intuitive or useful for lighters. + +This means that each of these will work "best" for only a certain subset of +spotlights, and *neither* will work "intuitively" for all lights: + +- RenderMan formula: + - works best for spotlights aimed "up" + - ie, maximum brightness centered around $verticalAngle = 180°$ + ($\theta = \pi$) +- Karma formula: + - works best for spotlights aimed "down" + - ie, maximum brightness centered around $verticalAngle = 0°$ ($\theta = 0$) + +#### Which is more common - spotlights aimed up or down? + +If [ieslibrary.com](ieslibrary.com) is indicative, lights aimed **down** are +much more common - an ad-hoc perusal indicates that if a light has a "primary +direction", down is the by far the most common. They are apparently common +enough that the site maker designed their preview images assuming the light is +aimed downward, as lights aimed in other directions are poorly framed: + +| Aimed down (vangle 0°) | Aimed Side (vangle 90°) | Aimed Up (vangle 180°) | +| ------------------------- | ------------------------- | ---------------------- | +| ![down_light][down_light] | ![side_light][side_light] | ![up_light][up_light] | + +This indicates that the **Karma**-formula will result in more intuitive +manipulation for a greater majority of lights. + +### RenderMan vs Karma + +Here's a chart directly comparing these two formulas, with the option I consider +"better": + +| Feature | RenderMan | Karma | Winner | +| ------------------------------------------------------------ | -------------- | --------- | --------- | +| Scaling origin (works "best" with spotlights aimed this way) | Up (180°) | Down (0°) | | +| • Allows "intuitive" scaling for "most common" spotlights | No | ***Yes*** | Karma | +| • Allows "intuitive" scaling for spotlight aimed up OR down | No | No | | +| Useable domain (angleScale) | $(-1, \infty)$ | $[-1, 1]$ | | +| • Useable domain - Symmetric? | No | ***Yes*** | Karma | +| Relation between angleScale and scaling control |
  • Negative: narrower
  • Positive: broader
| | RenderMan | +| Same formula for entire domain? | ***Yes*** | No | RenderMan | +| Allows backwards-compatible mapping for RenderMan and Karma? | No | No | | + + +### No clear winner + +Unfortunately, I don't think either option is a clear winner, mostly because: + +- *Neither* will provide "intuitive" scaling for a spotlight aimed in any + direction +- *Neither* formula is "backward compatible" with the other - ie, there's no + mapping from "old" values to "new" values that will result in unaltered + behavior for existing scenes. + +## Alternative Formulas + +Given that bot the RenderMan and Karma formulas have significant drawbacks, +here are 3 proposals for alternative formulas: + +### A. Bimodal - Scaling Origin at 0° for angleScale > 0, 180° for angleScale < 0 + +This would allow us to support behavior "similar" to either of the current Karma +or RenderMan formulas, without having to add any new attributes. + +**Mathematical Description:** +$$ +\theta_{ies} = +\begin{dcases} + \frac{\theta_{light}}{angleScale}, + & \text{if} \quad angleScale > 0 \\ + \frac{\theta_{light} - \pi}{-angleScale} + \pi, + & \text{if} \quad angleScale < 0 \\ +\end{dcases} +$$ + +Pros: +- Works "intuitively" with lights aimed either up OR down +- Requires no additional attributes +- Provides a backwards-compatible mapping for either RenderMan or Karma + +Cons: +- Doesn't work "intuitively" with ALL lights (ie, lights aimed to the side) +- ...nor does it provide a clear path to supporting any aim direction in the + future +- Non-intuitive "switch" in behavior when the angleScale crosses 0 + +### B. Add `vAngleScaleOrigin` attribute + +**New Attributes:** (exact names TBD) +- `float inputs:shaping:ies:vAngleScaleOrigin = 0` + - Valid Range: $[0, 180]$ + - Units: degrees + +By adding one additional attribute, we could allow setting any vertical angle +as the scale origin, providing a more intuitive way to support lights aimed +either up or down, as well as "partial" support for a light aimed in any +direction (ie, we can locate the scaling origin in the correct place, but the +scaling for lights aimed sideways will be distorted, since we still only alter +the verticalAngle / $\theta$, and leave the horizontalAngle / $\phi$ +untouched.) + +**Mathematical Description:** +$$ +\theta_{ies} = + \frac{\theta_{light} - vAngleScaleOrigin}{angleScale} + vAngleScaleOrigin +$$ + +Pros: +- Can work "intuitively" with lights aimed either up OR down +- Provides a backwards-compatible mapping for either RenderMan or Karma +- Provides an "easy" path to later supporting "any" aim direction in the future + (by adding `hAngleScaleOrigin` and `angleScaleDirection` - see + [Option C][option_C]) + +Cons: +- Requires 1 additional attribute +- Sort-of supports lights aimed to side - can center the vertical original, but + horizontal mapping is not affected, so lights aimed to side will get + "stretched" in vertical direction - ie, a circular spotlight will become an + oval + +Notes: +- In the future, we could possibly allow "auto-dectection" of + `vAngleScaleOrigin` by, ie, setting `vAngleScaleOrigin = -1` + +### C. Add `vAngleScaleOrigin`, `hAngleScaleOrigin`, and `angleScaleDirection` attributes + +**New Attributes:** (exact names TBD) + +- `float inputs:shaping:ies:vAngleScaleOrigin = 0` + - Valid Range: $[0, 180]$ + - Units: degrees +- `float inputs:shaping:ies:hAngleScaleOrigin = 0` + - Valid Range: $[0, 360]$ + - Units: degrees +- `token inputs:shaping:ies:angleScaleDirection = "radial"` + - Valid Values: ["vertical", "radial"] + +By setting `angleScaleDirection` to `radial`, we would remap BOTH vertical +angles and horizontal angles, to allow circular profile scaling about any +aribtrary direction, and "intuitive" profile scaling for any type of spotlight +(by setting `vAngleScaleOrigin` and `hAngleScaleOrign` to align with the +profile's "primary" axis). The inclusion of `angleScaleDirection` as an option +allows a backwards-compatible mapping to existing behavior by setting it to +`vertical` - the attribute could be dropped if we don't care about maintaining a +backwards-compatible mapping. + +**Mathematical Description:** + +- If `angleScaleDirection = "vertical"`: + - then `hAngleScaleOrigin` is ignored, and the formula is the same as in + [Option B][option_b] above. + +- If `angleScaleDirection = "radial"`: + - then let + $$ + R(\theta,\ \phi) \rightarrow (\theta',\ \phi') + $$ + + represent the shortest-angle rotation of the + $(vScaleOrigin, hScaleOrigin)$ direction to align with the the + $\theta = 0$ axis, where $(\theta',\ \phi')$ is the image of + $(\theta,\ \phi)$ after this rotation. + + - To translate from $(\theta_{light}, \phi_{light})$ to + $(\theta_{ies}, \phi_{ies})$, we: + - perform a rotation by $R$ + $$ (\theta_{light}',\ \phi_{light}') = R(\theta_{light},\ \phi_{light}) $$ + + - scale the $\theta'$ coordinate by `angleScale`: + $$ + \begin{align*} + \theta_{ies}' &= \frac{\theta_{light}'}{angleScale} \\ + \phi_{ies}' &= \phi_{light}' \\ + \end{align*} + $$ + - then inverse rotate by $R^{-1}$ to get back to our original spherical + coordinate system: + + $$ (\theta_{ies},\ \phi_{ies}) = R^{-1}(\theta_{ies}',\ \phi_{ies}') $$ + +Pros: +- can work "intuitively" with lights aimed in ANY direction +- provides a backwards-compatible mapping for either RenderMan or Karma +- can provide a possible upgrade path from [Option B][option_b], allowing an + incremental upgrade path that we follow only if there is demand for + IES profile angle-scaling. + +Cons: +- Requires 3 additional attribute +- Most complex, and likely only useful for a relatively small number of lights + (ie, ones aimed sideways) + +### Comparison of A / B / C + +| Feature | A (Bimodal) | B (vAngle Attr) | C (vangle + hAngle Attrs) | +| ------------------------------------------------------------ | ------------------- | --------------- | ------------------------- | +| Allows "intuitive" scaling for spotlight aimed up OR down | Yes | Yes | Yes | +| Allows "intuitive" scaling for spotlights aimed anywhere | No | Distorted | ***Yes*** | +| Useable domain (angleScale) | $(-\infty, \infty)$ | $[0, \infty)$ | $[0, \infty)$ | +| Relation between angleScale and scaling control | | | || Same formula for entire domain? | No | ***Yes*** | ***Yes*** | +| Allows backwards-compatible mapping for RenderMan and Karma? | Yes | Yes | Yes | +| Path to support spotlights aimed anywhere | Unknown | Migrate to C | Already Supported | + + + + + + + +[option_B]: #add-vanglescaleorigin-attribute +[option_C]: #add-vanglescaleorigin-hanglescaleorigin-and-anglescaledirection-attributes + + +[ies_angleScale_doc]: + https://openusd.org/release/api/class_usd_lux_shaping_a_p_i.html#a36b62167bddbf3125fc922d78d104d0c +[pr_iesAngleScale_formula]: + https://github.com/PixarAnimationStudios/OpenUSD/blob/2bd74e30ca5110187b02ad3e8efa1b1c23891cd0/pxr/usd/usdLux/schema.usda#L797-L808 +[rman_profile_scale_doc]: + https://rmanwiki-26.pixar.com/space/REN26/19661751/PxrSphereLight#Light-Profile:~:text=Profile%20Scale +[ies_test_file]: + https://github.com/pmolodo/luxtest/blob/13a1a08bb2abfec0f873661fb3e7a4925a36707e/test_vstripes_hquadrants_nonuniform.ies +[ies_test_ref_exr]: + https://github.com/pmolodo/luxtest_renders/raw/4a3308259fdb89db95358c4da1b215b26baf8d9e/ris/iesTest-ris.0011.exr +[iesTest_usda]: + https://github.com/pmolodo/luxtest/blob/13a1a08bb2abfec0f873661fb3e7a4925a36707e/usd/iesTest.usda +[luxtest_repo]: + https://github.com/pmolodo/luxtest/tree/13a1a08bb2abfec0f873661fb3e7a4925a36707e +[down_light]: https://ieslibrary.com/ies/BEGA/04f377f94ce81cd7b5101fffdf571454.jpg +[side_light]: https://ieslibrary.com/ies/GE_LIGHTING_SOLUTIONS/000720b7043c3ae136132bbad11155ed.jpg +[up_light]: https://ieslibrary.com/ies/BEGA/0184e55f1f5ef8ee9e8b006d6a7bf558.jpg + + +[RM-1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0012.png + 'RIS -1.00 angleScale' +[RM-.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0013.png + 'RIS -0.75 angleScale' +[RM-.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0014.png + 'RIS -0.50 angleScale' +[RM-.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0015.png + 'RIS -0.25 angleScale' +[RM~.00_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0016.png + 'RIS ~0.00 angleScale' +[RM+.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0017.png + 'RIS +0.25 angleScale' +[RM+.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0018.png + 'RIS +0.50 angleScale' +[RM+.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0019.png + 'RIS +0.75 angleScale' +[RM+1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0020.png + 'RIS +1.00 angleScale' + +[Ka-1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0012.png + 'Karma -1.00 angleScale' +[Ka-.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0013.png + 'Karma -0.75 angleScale' +[Ka-.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0014.png + 'Karma -0.50 angleScale' +[Ka-.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0015.png + 'Karma -0.25 angleScale' +[Ka~.00_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0016.png + 'Karma ~0.00 angleScale' +[Ka+.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0017.png + 'Karma +0.25 angleScale' +[Ka+.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0018.png + 'Karma +0.50 angleScale' +[Ka+.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0019.png + 'Karma +0.75 angleScale' +[Ka+1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0020.png + 'Karma +1.00 angleScale' + + + + +[Ka-1.0_gph]: ies_angleScale_Karma_clamped_-1.00.jpg +[Ka-.75_gph]: ies_angleScale_Karma_clamped_-0.75.jpg +[Ka-.50_gph]: ies_angleScale_Karma_clamped_-0.50.jpg +[Ka-.25_gph]: ies_angleScale_Karma_clamped_-0.25.jpg +[Ka~.00_gph]: ies_angleScale_Karma_clamped_+0.00.jpg +[Ka+.25_gph]: ies_angleScale_Karma_clamped_+0.25.jpg +[Ka+.50_gph]: ies_angleScale_Karma_clamped_+0.50.jpg +[Ka+.75_gph]: ies_angleScale_Karma_clamped_+0.75.jpg +[Ka+1.0_gph]: ies_angleScale_Karma_clamped_+1.00.jpg + +[RM-1.0_gph]: ies_angleScale_Renderman_clamped_-1.00.jpg +[RM-.75_gph]: ies_angleScale_Renderman_clamped_-0.75.jpg +[RM-.50_gph]: ies_angleScale_Renderman_clamped_-0.50.jpg +[RM-.25_gph]: ies_angleScale_Renderman_clamped_-0.25.jpg +[RM~.00_gph]: ies_angleScale_Renderman_clamped_+0.00.jpg +[RM+.25_gph]: ies_angleScale_Renderman_clamped_+0.25.jpg +[RM+.50_gph]: ies_angleScale_Renderman_clamped_+0.50.jpg +[RM+.75_gph]: ies_angleScale_Renderman_clamped_+0.75.jpg +[RM+1.0_gph]: ies_angleScale_Renderman_clamped_+1.00.jpg diff --git a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py new file mode 100644 index 00000000000..2170030b2a7 --- /dev/null +++ b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py @@ -0,0 +1,151 @@ +# execfile(r"C:\src\NVIDIA\usd-ci\angleScale_formulas.py") +import inspect +import math +import os + +import matplotlib.pyplot as plt +import mpl_toolkits.mplot3d.axes3d +import spb +import sympy + +# from sympy import * +from spb import plot, plot3d + +INTERACTIVE_VIEW = False + + +THIS_FILE = os.path.abspath(inspect.getsourcefile(lambda: None) or __file__) +THIS_DIR = os.path.dirname(THIS_FILE) + +IMAGE_SAVE_FOLDER = THIS_DIR +os.makedirs(IMAGE_SAVE_FOLDER, exist_ok=True) + + +def Clamp(x, min, max): + return sympy.Min(sympy.Max(x, min), max) + + +def save_graph(graph, filename, dpi=300): + ext = os.path.splitext(filename)[-1].lstrip(".") + if not ext or ext.isdigit(): + filename = filename + ".jpg" + print(f"Saving: {filename}") + filepath = os.path.join(IMAGE_SAVE_FOLDER, filename) + # this also ensures the graph is evaluated... I tried using + # "graph.process_series()", but that seemed to make a second copy of the + # graph, that didn't respect the zlim + axes = graph.ax + + set_axis_limits(axes) + graph.fig.savefig(filepath, dpi=dpi) + + +theta, angleScale = sympy.symbols("theta angleScale") + + +# angle_units = "radians" +angle_units = "degrees" + +if angle_units == "radians": + theta_max = sympy.pi +elif angle_units == "degrees": + theta_max = 180 + +# in latex format +theta_input_label = r"$\theta_{light}$" +theta_output_label = r"$\theta_{ies}$" +theta_input_label = f"{theta_input_label} ({angle_units})" +theta_output_label = f"{theta_output_label} ({angle_units})" + +theta_lim = (theta, 0, theta_max) +angleScale_lim = (angleScale, -1, 1) + + +def set_axis_limits(axes): + if not "theta" in axes.get_xlabel(): + raise ValueError("expected x-axis to be theta") + axes.set_xlabel(theta_input_label) + axes.set_xlim(*theta_lim[1:]) + if hasattr(axes, "set_zlim"): + axes.set_ylim(*angleScale_lim[1:]) + axes.set_zlim(*theta_lim[1:]) + axes.set_zlabel(theta_output_label) + else: + axes.set_ylim(*theta_lim[1:]) + axes.set_ylabel(theta_output_label) + + +def save_graph_slices(function, title, filename): + for i in range(-100, 101, 25): + angleScale_val = i / 100 + angleScale_str = f"{angleScale_val:+.02f}" + title_i = f"{title} (angleScale = {angleScale_str})" + filename_i = f"{filename}_{angleScale_str}" + slice_func = function.subs(angleScale, angleScale_val) + graph = spb.plot(slice_func, theta_lim, show=False, title=title_i) + if any(isinstance(x, sympy.core.numbers.ComplexInfinity) for x in slice_func.atoms()): + del graph.series[0] + axes = graph.ax + set_axis_limits(axes) + x_center = sum(axes.get_xlim()) / 2 + y_center = sum(axes.get_ylim()) / 2 + axes.text( + x_center, + y_center, + "Undefined\nAsymptote", + verticalalignment="center", + horizontalalignment="center", + fontsize=50, + ) + else: + graph.ax.get_lines()[0].set_linewidth(5) + save_graph(graph, filename_i) + plt.close(graph.fig) + + +def plot3d_and_save(function, title, slices=False): + graph = spb.plot3d(function, theta_lim, angleScale_lim, show=False, title=title) + filename = f"ies_angleScale_{title}" + filename = filename.replace(" - ", "-") + filename = filename.replace("/", "over") + for to_erase in "()": + filename = filename.replace(to_erase, "") + filename = filename.replace(" ", "_") + + save_graph(graph, filename) + if slices: + save_graph_slices(function, title, filename) + return graph + + +karma_pos = theta / (1 - angleScale) +karma_neg = theta * (1 + angleScale) + +karma = sympy.Piecewise((0, angleScale < -1), (karma_neg, angleScale < 0), (karma_pos, angleScale < 1), (0, True)) +karma_clamp = Clamp(karma, 0, theta_max) + +karma_pos_clamp = Clamp(sympy.Piecewise((0, angleScale < -1), (karma_pos, angleScale < 1), (0, True)), 0, theta_max) + + +# karma_pos_graph = plot3d_and_save(karma_pos, "Karma (positive)") +# karma_neg_graph = plot3d_and_save(karma_neg, "Karma (negative)") + +karma_graph = plot3d_and_save(karma, "Karma (unclamped)") + +karma_clamp_graph = plot3d_and_save(karma_clamp, "Karma (clamped)", slices=True) +# save_graph_slices(karma_clamp, "ies_angleScale_karma_clamped") + +karma_pos_clamp_graph = plot3d_and_save(karma_pos_clamp, "Karma - theta / (1-angleScale) only (clamped)") + +profile_scale = 1 + angleScale +rman = ((theta - theta_max) / profile_scale) + theta_max +rman_clamp = Clamp(sympy.Piecewise((rman, angleScale > -1), (0, True)), 0, theta_max) + +rman_graph = plot3d_and_save(rman, "Renderman (unclamped)") + +rman_clamp_graph = plot3d_and_save(rman_clamp, "Renderman (clamped)", slices=True) + +if INTERACTIVE_VIEW: + plt.show() +else: + plt.close("all") diff --git a/pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma-theta_over_1-angleScale_only_clamped.jpg b/pxr/usd/usdLux/iesAngleScale/ies_angleScale_Karma-theta_over_1-angleScale_only_clamped.jpg new file mode 100644 index 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z{*fP-;r%mh$sp|FIWoOjW_U}@rC3Nh1OoL3lPwTX?|}#*%=;ua7#Fvfv1o7U!|TPW)W}=V(sDHm;w)8O&L}n_)roZ zE@FCl9XV)u3eM9h=AP!g+$W@Fh) z@2n-ONzsWkce~q&iMB?xqr|=F|K3RdJ0t%4^Z)nvFu>TQge)N;V6eaM@8;fr)xi7v rv%l@*ZyWgA2L85zzir@e8~ED>{ Date: Tue, 3 Sep 2024 13:04:23 -0700 Subject: [PATCH 02/30] add more details on rendering visualization --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 16 ++++++++++++---- 1 file changed, 12 insertions(+), 4 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 00cac63b863..f86c62b962a 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -25,15 +25,23 @@ also divided into quadrants, but we can ignore horizontal-angle differences for this discussion.) I then placed a light with this IES profile at the center of a sphere, and -rendered the interior of the sphere, from verticalAngle 0° to 180°, to generate -an output that looks like this with no angleScale applied: +rendered the interior of the sphere twice, with a camera (also at the sphere +center) with a 90° field-of-view: + +- horizontal angles -45° to 45°, vertical angles 0° to 90° +- horizontal angles -45° to 45°, vertical angles 90° to 180° + +The images were stitched together to give an output that looks like this, with +no angleScale applied: \ [\[exr\]][ies_test_ref_exr] -More details on exact rendering procedure can be found in -[this repo][luxtest_repo]. +(The exact `.usda` rendered can be found [here][iesTest_usda]; frame 11 was used +to create the reference render above (`angleScale=0`), while frames 11-20 show a +progression from `angleScale=-1` to `angleScale=1`. [This repo][luxtest_repo] +was used to perform the rendering.) ## Existing formulas From 5780962fe90e6427cd7f6cf9c01def0c32740cff Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 3 Sep 2024 18:33:06 -0700 Subject: [PATCH 03/30] Tweaks to accomodate github's rendering of latex: - it requires a blank line before $$ equations on own line $$ - it doesn't render math equations inside of lists --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 66 ++++++++++--------- 1 file changed, 35 insertions(+), 31 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index f86c62b962a..7eae24d7977 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -195,6 +195,7 @@ This would allow us to support behavior "similar" to either of the current Karma or RenderMan formulas, without having to add any new attributes. **Mathematical Description:** + $$ \theta_{ies} = \begin{dcases} @@ -232,6 +233,7 @@ the verticalAngle / $\theta$, and leave the horizontalAngle / $\phi$ untouched.) **Mathematical Description:** + $$ \theta_{ies} = \frac{\theta_{light} - vAngleScaleOrigin}{angleScale} + vAngleScaleOrigin @@ -279,37 +281,39 @@ backwards-compatible mapping. **Mathematical Description:** -- If `angleScaleDirection = "vertical"`: - - then `hAngleScaleOrigin` is ignored, and the formula is the same as in - [Option B][option_b] above. - -- If `angleScaleDirection = "radial"`: - - then let - $$ - R(\theta,\ \phi) \rightarrow (\theta',\ \phi') - $$ - - represent the shortest-angle rotation of the - $(vScaleOrigin, hScaleOrigin)$ direction to align with the the - $\theta = 0$ axis, where $(\theta',\ \phi')$ is the image of - $(\theta,\ \phi)$ after this rotation. - - - To translate from $(\theta_{light}, \phi_{light})$ to - $(\theta_{ies}, \phi_{ies})$, we: - - perform a rotation by $R$ - $$ (\theta_{light}',\ \phi_{light}') = R(\theta_{light},\ \phi_{light}) $$ - - - scale the $\theta'$ coordinate by `angleScale`: - $$ - \begin{align*} - \theta_{ies}' &= \frac{\theta_{light}'}{angleScale} \\ - \phi_{ies}' &= \phi_{light}' \\ - \end{align*} - $$ - - then inverse rotate by $R^{-1}$ to get back to our original spherical - coordinate system: - - $$ (\theta_{ies},\ \phi_{ies}) = R^{-1}(\theta_{ies}',\ \phi_{ies}') $$ +#### If `angleScaleDirection = "vertical"`: +- then `hAngleScaleOrigin` is ignored, and the formula is the same as in + [Option B][option_b] above. + +#### If `angleScaleDirection = "radial"`: + +- Then let $R$ represent the shortest-angle rotation of the + $(vScaleOrigin, hScaleOrigin)$ direction to align with the the + $\theta = 0$ axis, where $(\theta',\ \phi')$ is the image of + $(\theta,\ \phi)$ after this rotation: + +$$ + R(\theta,\ \phi) \rightarrow (\theta',\ \phi') +$$ + +- To translate from $(\theta_{light}, \phi_{light})$ to + $(\theta_{ies}, \phi_{ies})$, we first perform a rotation by $R$ + +$$ (\theta_{light}',\ \phi_{light}') = R(\theta_{light},\ \phi_{light}) $$ + +- Scale the $\theta'$ coordinate by `angleScale`: + +$$ +\begin{align*} + \theta_{ies}' &= \frac{\theta_{light}'}{angleScale} \\ + \phi_{ies}' &= \phi_{light}' \\ +\end{align*} +$$ + +- Then inverse rotate by $R^{-1}$ to get back to our original spherical + coordinate system: + +$$ (\theta_{ies},\ \phi_{ies}) = R^{-1}(\theta_{ies}',\ \phi_{ies}') $$ Pros: - can work "intuitively" with lights aimed in ANY direction From 53b12b081abc8efe8ab5b63b8f6e0a70b0cb120b Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Mon, 23 Sep 2024 13:02:23 -0700 Subject: [PATCH 04/30] add iesLibPreview renders --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 171 ++++++++++++++---- 1 file changed, 139 insertions(+), 32 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 7eae24d7977..6ca16db9e1a 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -17,6 +17,8 @@ findings and solicit advice. ## Visualization +### Striped IES Test file + To help visualize the effect of the angleScale, I created a [test .ies file][ies_test_file] consisting of bands of alternating dark/light horizontal stripes. The bottom (verticalAngle=0) is always .25 (gray-black) and the top @@ -24,6 +26,8 @@ stripes. The bottom (verticalAngle=0) is always .25 (gray-black) and the top also divided into quadrants, but we can ignore horizontal-angle differences for this discussion.) +### Render 1 - Interior of sphere + I then placed a light with this IES profile at the center of a sphere, and rendered the interior of the sphere twice, with a camera (also at the sphere center) with a 90° field-of-view: @@ -34,14 +38,77 @@ center) with a 90° field-of-view: The images were stitched together to give an output that looks like this, with no angleScale applied: - \ -[\[exr\]][ies_test_ref_exr] + + + + + + + + +
+ +180° vertical + +
+45° horizontal + +

+ + [exr] + + + [png] + +

-45° horizontal

(+315° horizontal) +

+ 0° vertical + +
+ +### Render #2 - Preview render + +While the projection of the light onto interior of sphere gives a good +representation of the data in a `.ies` file, it doesn't show what such a light +might look like "in the real world." To this end, I created a render stage +intended to look roughly similar to the previews shown on +[ieslibrary.com](ieslibrary.com). + + + + + + + + + +
+ +180° vertical, +180° horizontal + +
+90° horizontal + +

+ + [exr] + + + [png] + +

-90° horizontal

(+270° horizontal) +

+ 0° vertical, 0° horizontal + +
+ +### Rendering Details: +- The exact `.usda` files rendered can be found here: + - [Usda - Render 1 - Interior of sphere][iesTest_usda] + - [Usda - Render2 - Preview render][iesLibPreview_usda] +- For both renders: + - Frame 1 was used to create the reference renders above (`angleScale=0`) + - Frames 2-10 show a progression from `angleScale=-1` to `angleScale=1` + - [This repo][luxtest_repo] was used to perform the rendering -(The exact `.usda` rendered can be found [here][iesTest_usda]; frame 11 was used -to create the reference render above (`angleScale=0`), while frames 11-20 show a -progression from `angleScale=-1` to `angleScale=1`. [This repo][luxtest_repo] -was used to perform the rendering.) ## Existing formulas @@ -65,7 +132,8 @@ $(1 + angleScale)$, offset so the scale origin is at $(\theta_{light},\ \theta_{ | -1.00 | -0.75 | -0.50 | -0.25 | ~0.00 | +0.25 | +0.50 | +0.75 | +1.00 | | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | -| ![RM-1.0_img] | ![RM-.75_img] | ![RM-.50_img] | ![RM-.25_img] | ![RM~.00_img] | ![RM+.25_img] | ![RM+.50_img] | ![RM+.75_img] | ![RM+1.0_img] | +| ![RM-1.0_tst] | ![RM-.75_tst] | ![RM-.50_tst] | ![RM-.25_tst] | ![RM~.00_tst] | ![RM+.25_tst] | ![RM+.50_tst] | ![RM+.75_tst] | ![RM+1.0_tst] | +| ![RM-1.0_pre] | ![RM-.75_pre] | ![RM-.50_pre] | ![RM-.25_pre] | ![RM~.00_pre] | ![RM+.25_pre] | ![RM+.50_pre] | ![RM+.75_pre] | ![RM+1.0_pre] | | ![RM-1.0_gph] | ![RM-.75_gph] | ![RM-.50_gph] | ![RM-.25_gph] | ![RM~.00_gph] | ![RM+.25_gph] | ![RM+.50_gph] | ![RM+.75_gph] | ![RM+1.0_gph] | @@ -97,7 +165,8 @@ $(\theta_{light},\ \theta_{ies}) = (0,\ 0)$: | -1.00 | -0.75 | -0.50 | -0.25 | ~0.00 | +0.25 | +0.50 | +0.75 | +1.00 | | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | -| ![Ka-1.0_img] | ![Ka-.75_img] | ![Ka-.50_img] | ![Ka-.25_img] | ![Ka~.00_img] | ![Ka+.25_img] | ![Ka+.50_img] | ![Ka+.75_img] | ![Ka+1.0_img] | +| ![Ka-1.0_tst] | ![Ka-.75_tst] | ![Ka-.50_tst] | ![Ka-.25_tst] | ![Ka~.00_tst] | ![Ka+.25_tst] | ![Ka+.50_tst] | ![Ka+.75_tst] | ![Ka+1.0_tst] | +| ![Ka-1.0_pre] | ![Ka-.75_pre] | ![Ka-.50_pre] | ![Ka-.25_pre] | ![Ka~.00_pre] | ![Ka+.25_pre] | ![Ka+.50_pre] | ![Ka+.75_pre] | ![Ka+1.0_pre] | | ![Ka-1.0_gph] | ![Ka-.75_gph] | ![Ka-.50_gph] | ![Ka-.25_gph] | ![Ka~.00_gph] | ![Ka+.25_gph] | ![Ka+.50_gph] | ![Ka+.75_gph] | ![Ka+1.0_gph] | ----------------------- @@ -355,56 +424,94 @@ Cons: [rman_profile_scale_doc]: https://rmanwiki-26.pixar.com/space/REN26/19661751/PxrSphereLight#Light-Profile:~:text=Profile%20Scale [ies_test_file]: - https://github.com/pmolodo/luxtest/blob/13a1a08bb2abfec0f873661fb3e7a4925a36707e/test_vstripes_hquadrants_nonuniform.ies -[ies_test_ref_exr]: - https://github.com/pmolodo/luxtest_renders/raw/4a3308259fdb89db95358c4da1b215b26baf8d9e/ris/iesTest-ris.0011.exr + https://github.com/pmolodo/luxtest/blob/0f9955768eca64557be5150b78134b560749e392/test_vstripes_hquadrants_nonuniform.ies [iesTest_usda]: - https://github.com/pmolodo/luxtest/blob/13a1a08bb2abfec0f873661fb3e7a4925a36707e/usd/iesTest.usda + https://github.com/pmolodo/luxtest/blob/0f9955768eca64557be5150b78134b560749e392/usd/iesTest.usda +[iesLibPreview_usda]: + https://github.com/pmolodo/luxtest/blob/0f9955768eca64557be5150b78134b560749e392/usd/iesLibPreview.usda [luxtest_repo]: - https://github.com/pmolodo/luxtest/tree/13a1a08bb2abfec0f873661fb3e7a4925a36707e + https://github.com/pmolodo/luxtest/tree/0f9955768eca64557be5150b78134b560749e392 [down_light]: https://ieslibrary.com/ies/BEGA/04f377f94ce81cd7b5101fffdf571454.jpg [side_light]: https://ieslibrary.com/ies/GE_LIGHTING_SOLUTIONS/000720b7043c3ae136132bbad11155ed.jpg [up_light]: https://ieslibrary.com/ies/BEGA/0184e55f1f5ef8ee9e8b006d6a7bf558.jpg -[RM-1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0012.png +[RM-1.0_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0012.png 'RIS -1.00 angleScale' -[RM-.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0013.png +[RM-.75_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0013.png 'RIS -0.75 angleScale' -[RM-.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0014.png +[RM-.50_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0014.png 'RIS -0.50 angleScale' -[RM-.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0015.png +[RM-.25_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0015.png 'RIS -0.25 angleScale' -[RM~.00_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0016.png +[RM~.00_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0016.png 'RIS ~0.00 angleScale' -[RM+.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0017.png +[RM+.25_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0017.png 'RIS +0.25 angleScale' -[RM+.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0018.png +[RM+.50_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0018.png 'RIS +0.50 angleScale' -[RM+.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0019.png +[RM+.75_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0019.png 'RIS +0.75 angleScale' -[RM+1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0020.png +[RM+1.0_tst]: https://pmolodo.github.io/luxtest/img/iesTest-ris.0020.png 'RIS +1.00 angleScale' -[Ka-1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0012.png +[Ka-1.0_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0012.png 'Karma -1.00 angleScale' -[Ka-.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0013.png +[Ka-.75_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0013.png 'Karma -0.75 angleScale' -[Ka-.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0014.png +[Ka-.50_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0014.png 'Karma -0.50 angleScale' -[Ka-.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0015.png +[Ka-.25_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0015.png 'Karma -0.25 angleScale' -[Ka~.00_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0016.png +[Ka~.00_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0016.png 'Karma ~0.00 angleScale' -[Ka+.25_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0017.png +[Ka+.25_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0017.png 'Karma +0.25 angleScale' -[Ka+.50_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0018.png +[Ka+.50_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0018.png 'Karma +0.50 angleScale' -[Ka+.75_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0019.png +[Ka+.75_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0019.png 'Karma +0.75 angleScale' -[Ka+1.0_img]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0020.png +[Ka+1.0_tst]: https://pmolodo.github.io/luxtest/img/iesTest-karma.0020.png 'Karma +1.00 angleScale' + +[RM-1.0_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0012.png + 'RIS -1.00 angleScale' +[RM-.75_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0013.png + 'RIS -0.75 angleScale' +[RM-.50_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0014.png + 'RIS -0.50 angleScale' +[RM-.25_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0015.png + 'RIS -0.25 angleScale' +[RM~.00_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0016.png + 'RIS ~0.00 angleScale' +[RM+.25_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0017.png + 'RIS +0.25 angleScale' +[RM+.50_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0018.png + 'RIS +0.50 angleScale' +[RM+.75_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0019.png + 'RIS +0.75 angleScale' +[RM+1.0_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-ris.0020.png + 'RIS +1.00 angleScale' + +[Ka-1.0_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0012.png + 'Karma -1.00 angleScale' +[Ka-.75_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0013.png + 'Karma -0.75 angleScale' +[Ka-.50_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0014.png + 'Karma -0.50 angleScale' +[Ka-.25_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0015.png + 'Karma -0.25 angleScale' +[Ka~.00_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0016.png + 'Karma ~0.00 angleScale' +[Ka+.25_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0017.png + 'Karma +0.25 angleScale' +[Ka+.50_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0018.png + 'Karma +0.50 angleScale' +[Ka+.75_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0019.png + 'Karma +0.75 angleScale' +[Ka+1.0_pre]: https://pmolodo.github.io/luxtest/img/iesLibPreview-karma.0020.png + 'Karma +1.00 angleScale' From c38351562128d244a681124201c806d901891840 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Mon, 30 Sep 2024 09:20:17 -0700 Subject: [PATCH 05/30] replace AngleScaleOrigin with AngleScaleCenter --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 24 +++++++++---------- 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 6ca16db9e1a..21fcf6c5541 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -286,10 +286,10 @@ Cons: future - Non-intuitive "switch" in behavior when the angleScale crosses 0 -### B. Add `vAngleScaleOrigin` attribute +### B. Add `vAngleScaleCenter` attribute **New Attributes:** (exact names TBD) -- `float inputs:shaping:ies:vAngleScaleOrigin = 0` +- `float inputs:shaping:ies:vAngleScaleCenter = 0` - Valid Range: $[0, 180]$ - Units: degrees @@ -305,14 +305,14 @@ untouched.) $$ \theta_{ies} = - \frac{\theta_{light} - vAngleScaleOrigin}{angleScale} + vAngleScaleOrigin + \frac{\theta_{light} - vAngleScaleCenter}{angleScale} + vAngleScaleCenter $$ Pros: - Can work "intuitively" with lights aimed either up OR down - Provides a backwards-compatible mapping for either RenderMan or Karma - Provides an "easy" path to later supporting "any" aim direction in the future - (by adding `hAngleScaleOrigin` and `angleScaleDirection` - see + (by adding `hAngleScaleCenter` and `angleScaleDirection` - see [Option C][option_C]) Cons: @@ -324,16 +324,16 @@ Cons: Notes: - In the future, we could possibly allow "auto-dectection" of - `vAngleScaleOrigin` by, ie, setting `vAngleScaleOrigin = -1` + `vAngleScaleCenter` by, ie, setting `vAngleScaleCenter = -1` -### C. Add `vAngleScaleOrigin`, `hAngleScaleOrigin`, and `angleScaleDirection` attributes +### C. Add `vAngleScaleCenter`, `hAngleScaleCenter`, and `angleScaleDirection` attributes **New Attributes:** (exact names TBD) -- `float inputs:shaping:ies:vAngleScaleOrigin = 0` +- `float inputs:shaping:ies:vAngleScaleCenter = 0` - Valid Range: $[0, 180]$ - Units: degrees -- `float inputs:shaping:ies:hAngleScaleOrigin = 0` +- `float inputs:shaping:ies:hAngleScaleCenter = 0` - Valid Range: $[0, 360]$ - Units: degrees - `token inputs:shaping:ies:angleScaleDirection = "radial"` @@ -342,7 +342,7 @@ Notes: By setting `angleScaleDirection` to `radial`, we would remap BOTH vertical angles and horizontal angles, to allow circular profile scaling about any aribtrary direction, and "intuitive" profile scaling for any type of spotlight -(by setting `vAngleScaleOrigin` and `hAngleScaleOrign` to align with the +(by setting `vAngleScaleCenter` and `hAngleScaleOrign` to align with the profile's "primary" axis). The inclusion of `angleScaleDirection` as an option allows a backwards-compatible mapping to existing behavior by setting it to `vertical` - the attribute could be dropped if we don't care about maintaining a @@ -351,7 +351,7 @@ backwards-compatible mapping. **Mathematical Description:** #### If `angleScaleDirection = "vertical"`: -- then `hAngleScaleOrigin` is ignored, and the formula is the same as in +- then `hAngleScaleCenter` is ignored, and the formula is the same as in [Option B][option_b] above. #### If `angleScaleDirection = "radial"`: @@ -413,8 +413,8 @@ Cons: -[option_B]: #add-vanglescaleorigin-attribute -[option_C]: #add-vanglescaleorigin-hanglescaleorigin-and-anglescaledirection-attributes +[option_B]: #add-vAngleScaleCenter-attribute +[option_C]: #add-vAngleScaleCenter-hAngleScaleCenter-and-anglescaledirection-attributes [ies_angleScale_doc]: From 082b5a85162ebcd06b9d3bbe2b1ec8ce72766639 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 13:31:34 -0700 Subject: [PATCH 06/30] add renders with a 'normal' light, and animations to show 'good' and 'bad' scaling --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 312 +++++++++++++++--- .../iesAngleScale/angleScale_formulas.py | 63 +++- 2 files changed, 324 insertions(+), 51 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 21fcf6c5541..51f6a9e3a41 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -17,26 +17,86 @@ findings and solicit advice. ## Visualization -### Striped IES Test file +### Render 1 - Preview render + +The most intuitive way to get a sense for the data in an `.ies` file is to +provide a rendering of what a basic scene illuminated by that light might look +like. This is the approach used by [ieslibrary.com](ieslibrary.com) in it's +preview lights, so I decided to roughly replicate their setup: + +- scene has a floor and a wall (both perfectly diffuse) +- light is placed 1 meter above the floor, and 5 cm in front of the wall +- camera is 2.5 meters above the floor, and 4 meters in front of the wall +- camera is aimed back at the wall / light, angled down 30° from parallel + to the floor +- light is oriented so that: + - down is 0° vertical + - up is 180° vertical + - 0° horizontal is aimed toward the camera + - +90° horizontal is screen left (from camera's point of view) + - -90° / +270° horizontal is screen right (from camera's point of view) + +#### Render 1 Example: + +For an example of this render, I used a downward-aimed light picked +arbitrarily from [ieslibrary.com](ieslibrary.com): -To help visualize the effect of the angleScale, I created a [test .ies -file][ies_test_file] consisting of bands of alternating dark/light horizontal -stripes. The bottom (verticalAngle=0) is always .25 (gray-black) and the top -(verticalAngle=180) is always .75 (gray-white). (The horizontal angle space is -also divided into quadrants, but we can ignore horizontal-angle differences for -this discussion.) + + + + + + + + +
+ +180° vertical, +180° horizontal + +
+90° horizontal + +

+ + [exr] + + + [png] + + + [ies] + +
+ + [usda (frame 1)] + +

-90° horizontal

(+270° horizontal) +

+ 0° vertical, 0° horizontal + +
+ + +### Render 2 - Interior of sphere -### Render 1 - Interior of sphere +While the above render gives a quick sense of what the light might look like in +the world, it's not good for displaying the distribution of the light across +the entire 0° (bottom) to 180° (top) range of vertical angles, as the scene +is set up to mostly highlight downward emissions. -I then placed a light with this IES profile at the center of a sphere, and -rendered the interior of the sphere twice, with a camera (also at the sphere -center) with a 90° field-of-view: +To view the entire vertical-angle distribution, I made a second scene rendering +the light casting on the interior of a sphere: -- horizontal angles -45° to 45°, vertical angles 0° to 90° -- horizontal angles -45° to 45°, vertical angles 90° to 180° +- a light with the IES profile is at the center of a sphere +- a camera with a 90° field of view is also placed at the sphere center +- the interior of the sphere is rendered twice, aimed to display: + - horizontal angles -45° to 45°, vertical angles 90° to 180° (top) + - horizontal angles -45° to 45°, vertical angles 0° to 90° (bottom) +- the two renders are then stitched together to create a single image -The images were stitched together to give an output that looks like this, with -no angleScale applied: +#### Render 2 Example: + +For an example of this render, I used the same downward-aimed light picked +arbitrarily from [ieslibrary.com](ieslibrary.com) used in the previous render: @@ -47,14 +107,21 @@ no angleScale applied: @@ -65,13 +132,17 @@ no angleScale applied:
+45° horizontal -

- +

+ [exr] - + [png] + + [ies] + +
+ + [usda (frame 1)] +

-45° horizontal

(+315° horizontal)

-### Render #2 - Preview render -While the projection of the light onto interior of sphere gives a good -representation of the data in a `.ies` file, it doesn't show what such a light -might look like "in the real world." To this end, I created a render stage -intended to look roughly similar to the previews shown on -[ieslibrary.com](ieslibrary.com). +### Striped IES Test file + +Finally, to visualize the effect of the angleScale, I created a [test .ies +file][ies_test_file] consisting of bands of alternating dark/light horizontal +stripes every 10 vertical degrees. The bottom (verticalAngle=0) is always .25 +(gray-black) and the top (verticalAngle=180) is always .75 (gray-white). (The +horizontal angle space is also divided into quadrants, but we can ignore +horizontal-angle differences for this discussion.) + +#### Striped IES File: Render 1 - Preview Render: @@ -82,14 +153,21 @@ intended to look roughly similar to the previews shown on @@ -100,14 +178,41 @@ intended to look roughly similar to the previews shown on
+90° horizontal -

- +

+ [exr] - + [png] + + [ies] + +
+ + [usda (frame 11)] +

-90° horizontal

(+270° horizontal)

-### Rendering Details: -- The exact `.usda` files rendered can be found here: - - [Usda - Render 1 - Interior of sphere][iesTest_usda] - - [Usda - Render2 - Preview render][iesLibPreview_usda] -- For both renders: - - Frame 1 was used to create the reference renders above (`angleScale=0`) - - Frames 2-10 show a progression from `angleScale=-1` to `angleScale=1` - - [This repo][luxtest_repo] was used to perform the rendering +#### Striped IES File: Render 2 - Interior of sphere: + + + + + + + + + +
+ +180° vertical + +
+45° horizontal + +

+ + [exr] + + + [png] + + + [ies] + +
+ + [usda (frame 11)] + +

-45° horizontal

(+315° horizontal) +

+ 0° vertical + +
## Existing formulas @@ -132,8 +237,8 @@ $(1 + angleScale)$, offset so the scale origin is at $(\theta_{light},\ \theta_{ | -1.00 | -0.75 | -0.50 | -0.25 | ~0.00 | +0.25 | +0.50 | +0.75 | +1.00 | | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | -| ![RM-1.0_tst] | ![RM-.75_tst] | ![RM-.50_tst] | ![RM-.25_tst] | ![RM~.00_tst] | ![RM+.25_tst] | ![RM+.50_tst] | ![RM+.75_tst] | ![RM+1.0_tst] | | ![RM-1.0_pre] | ![RM-.75_pre] | ![RM-.50_pre] | ![RM-.25_pre] | ![RM~.00_pre] | ![RM+.25_pre] | ![RM+.50_pre] | ![RM+.75_pre] | ![RM+1.0_pre] | +| ![RM-1.0_tst] | ![RM-.75_tst] | ![RM-.50_tst] | ![RM-.25_tst] | ![RM~.00_tst] | ![RM+.25_tst] | ![RM+.50_tst] | ![RM+.75_tst] | ![RM+1.0_tst] | | ![RM-1.0_gph] | ![RM-.75_gph] | ![RM-.50_gph] | ![RM-.25_gph] | ![RM~.00_gph] | ![RM+.25_gph] | ![RM+.50_gph] | ![RM+.75_gph] | ![RM+1.0_gph] | @@ -165,8 +270,8 @@ $(\theta_{light},\ \theta_{ies}) = (0,\ 0)$: | -1.00 | -0.75 | -0.50 | -0.25 | ~0.00 | +0.25 | +0.50 | +0.75 | +1.00 | | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | ------------- | -| ![Ka-1.0_tst] | ![Ka-.75_tst] | ![Ka-.50_tst] | ![Ka-.25_tst] | ![Ka~.00_tst] | ![Ka+.25_tst] | ![Ka+.50_tst] | ![Ka+.75_tst] | ![Ka+1.0_tst] | | ![Ka-1.0_pre] | ![Ka-.75_pre] | ![Ka-.50_pre] | ![Ka-.25_pre] | ![Ka~.00_pre] | ![Ka+.25_pre] | ![Ka+.50_pre] | ![Ka+.75_pre] | ![Ka+1.0_pre] | +| ![Ka-1.0_tst] | ![Ka-.75_tst] | ![Ka-.50_tst] | ![Ka-.25_tst] | ![Ka~.00_tst] | ![Ka+.25_tst] | ![Ka+.50_tst] | ![Ka+.75_tst] | ![Ka+1.0_tst] | | ![Ka-1.0_gph] | ![Ka-.75_gph] | ![Ka-.50_gph] | ![Ka-.25_gph] | ![Ka~.00_gph] | ![Ka+.25_gph] | ![Ka+.50_gph] | ![Ka+.75_gph] | ![Ka+1.0_gph] | ----------------------- @@ -211,6 +316,113 @@ spotlights, and *neither* will work "intuitively" for all lights: - works best for spotlights aimed "down" - ie, maximum brightness centered around $verticalAngle = 0°$ ($\theta = 0$) +#### Animations - Examples of "Good" and "Bad" scaling + +What exactly does it mean that I say the formulas work "best" only for lights +aimed in a certain direction? After all, even if the scaling origin is not +aligned to the ies light primary direction, it is still possible to achieve +something that looks somewhat like scaling the light up and down. + +However, if origin + primary light direction are not aligned, though you can +get the boundaries the light to shrink and grow, the behavior of the profile +within it's boundaries is probably not what a lighter would expect. + +To help visualize what I mean, I've created animations showing behavior of +both RenderMan and Karma for spot lights aimed both down and up. They're +displaying versions of my "striped" ies test file, but limited to a 90° cone +aimed either down (ie, verticalAngle < 45°) or up (ie, verticalAngle > 135°). +The `ies:angleScale` attribute is then animated to scale the light between +.5 (45° cone angle) and 1.5 (135° cone angle) - due to the differences in the +angleScale formula, the exact value need to achieve this varies in each case. + + + + + + + + + + + + + + + + + +
Light DirectionRenderMan (Scale origin: Up)Karma (Scale origin: Down)
Up + +

+ + [usda (frames 1-49)] + + + [ies] + +

    +
  • "Good" scaling - seems to grow + shrink +
  • angleScale: .5 scale = -.5; 1.5 scale = .5 +
  • Please disregard the "blurry" rendering - I'm trying to resolve + this issue with RenderMan +
  • +
+
+ +

+ + [usda (frames 50-98)] + + + [ies] + +

    +
  • "Bad" scaling - bands are created + disappear, large dead area at center when scaling up +
  • angleScale: .5 scale = -0.142857; 1.5 scale = 0.166667 +
+
Down + +

+ + [usda (frames 1-49)] + + + [ies] + +

    +
  • "Bad" scaling - bands are created + disappear, large dead area at center when scaling up +
  • angleScale: .5 scale = 0.166667; 1.5 scale =-0.166667 +
  • Please disregard the "blurry" rendering - I'm trying to resolve + this issue with RenderMan +
  • +
+ +

+ + [usda (frames 50-98)] + + + [ies] + +

    +
  • "Good" scaling - seems to grow + shrink +
  • angleScale: .5 scale = .5; 1.5 scale =-0.333333 +
+
+ + #### Which is more common - spotlights aimed up or down? If [ieslibrary.com](ieslibrary.com) is indicative, lights aimed **down** are @@ -234,8 +446,8 @@ Here's a chart directly comparing these two formulas, with the option I consider | Feature | RenderMan | Karma | Winner | | ------------------------------------------------------------ | -------------- | --------- | --------- | | Scaling origin (works "best" with spotlights aimed this way) | Up (180°) | Down (0°) | | -| • Allows "intuitive" scaling for "most common" spotlights | No | ***Yes*** | Karma | -| • Allows "intuitive" scaling for spotlight aimed up OR down | No | No | | +| • Allows "good" scaling for "most common" spotlights | No | ***Yes*** | Karma | +| • Allows "good" scaling for spotlight aimed up OR down | No | No | | | Useable domain (angleScale) | $(-1, \infty)$ | $[-1, 1]$ | | | • Useable domain - Symmetric? | No | ***Yes*** | Karma | | Relation between angleScale and scaling control |

|
  • Negative: broader
  • Positive: narrower
| RenderMan | @@ -247,7 +459,7 @@ Here's a chart directly comparing these two formulas, with the option I consider Unfortunately, I don't think either option is a clear winner, mostly because: -- *Neither* will provide "intuitive" scaling for a spotlight aimed in any +- *Neither* will provide "good" scaling for a spotlight aimed in any direction - *Neither* formula is "backward compatible" with the other - ie, there's no mapping from "old" values to "new" values that will result in unaltered @@ -276,15 +488,19 @@ $$ $$ Pros: -- Works "intuitively" with lights aimed either up OR down +- Can give "good" scaling with lights aimed either up OR down + - Use positive values for lights aimed up + - Use negative values for lights aimed down - Requires no additional attributes - Provides a backwards-compatible mapping for either RenderMan or Karma Cons: -- Doesn't work "intuitively" with ALL lights (ie, lights aimed to the side) +- Doesn't give "good" scaling with ALL lights (ie, lights aimed to the side) - ...nor does it provide a clear path to supporting any aim direction in the future - Non-intuitive "switch" in behavior when the angleScale crosses 0 +- Requires user to figure out whether they should use negative or positive + values to get "good" scaling for their light ### B. Add `vAngleScaleCenter` attribute @@ -294,7 +510,7 @@ Cons: - Units: degrees By adding one additional attribute, we could allow setting any vertical angle -as the scale origin, providing a more intuitive way to support lights aimed +as the scale origin, providing a clearer way to support lights aimed either up or down, as well as "partial" support for a light aimed in any direction (ie, we can locate the scaling origin in the correct place, but the scaling for lights aimed sideways will be distorted, since we still only alter @@ -309,7 +525,7 @@ $$ $$ Pros: -- Can work "intuitively" with lights aimed either up OR down +- Can give "good" scaling with lights aimed either up OR down - Provides a backwards-compatible mapping for either RenderMan or Karma - Provides an "easy" path to later supporting "any" aim direction in the future (by adding `hAngleScaleCenter` and `angleScaleDirection` - see @@ -317,6 +533,8 @@ Pros: Cons: - Requires 1 additional attribute +- Requires setting an additional attribute to get "good" scaling for a given + light - Sort-of supports lights aimed to side - can center the vertical original, but horizontal mapping is not affected, so lights aimed to side will get "stretched" in vertical direction - ie, a circular spotlight will become an @@ -431,6 +649,8 @@ Cons: https://github.com/pmolodo/luxtest/blob/0f9955768eca64557be5150b78134b560749e392/usd/iesLibPreview.usda [luxtest_repo]: https://github.com/pmolodo/luxtest/tree/0f9955768eca64557be5150b78134b560749e392 +[down_light_ies]: + https://ieslibrary.com/browse/download/ies/04f377f94ce81cd7b5101fffdf571454/bf62776e70fb1699c9163756404c6c7ac19a1d875f069d2e964f69722374be23?cHash=1d691542fcd0ce49d33daf0288d2092e [down_light]: https://ieslibrary.com/ies/BEGA/04f377f94ce81cd7b5101fffdf571454.jpg [side_light]: https://ieslibrary.com/ies/GE_LIGHTING_SOLUTIONS/000720b7043c3ae136132bbad11155ed.jpg [up_light]: https://ieslibrary.com/ies/BEGA/0184e55f1f5ef8ee9e8b006d6a7bf558.jpg diff --git a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py index 2170030b2a7..bab1ec9ce07 100644 --- a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py +++ b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py @@ -1,4 +1,4 @@ -# execfile(r"C:\src\NVIDIA\usd-ci\angleScale_formulas.py") +# execfile(r"C:\src\NVIDIA\usd-ci\USD\pxr\usd\usdLux\iesAngleScale\angleScale_formulas.py") import inspect import math import os @@ -83,7 +83,10 @@ def save_graph_slices(function, title, filename): filename_i = f"{filename}_{angleScale_str}" slice_func = function.subs(angleScale, angleScale_val) graph = spb.plot(slice_func, theta_lim, show=False, title=title_i) - if any(isinstance(x, sympy.core.numbers.ComplexInfinity) for x in slice_func.atoms()): + if any( + isinstance(x, sympy.core.numbers.ComplexInfinity) + for x in slice_func.atoms() + ): del graph.series[0] axes = graph.ax set_axis_limits(axes) @@ -121,10 +124,19 @@ def plot3d_and_save(function, title, slices=False): karma_pos = theta / (1 - angleScale) karma_neg = theta * (1 + angleScale) -karma = sympy.Piecewise((0, angleScale < -1), (karma_neg, angleScale < 0), (karma_pos, angleScale < 1), (0, True)) +karma = sympy.Piecewise( + (0, angleScale < -1), + (karma_neg, angleScale < 0), + (karma_pos, angleScale < 1), + (0, True), +) karma_clamp = Clamp(karma, 0, theta_max) -karma_pos_clamp = Clamp(sympy.Piecewise((0, angleScale < -1), (karma_pos, angleScale < 1), (0, True)), 0, theta_max) +karma_pos_clamp = Clamp( + sympy.Piecewise((0, angleScale < -1), (karma_pos, angleScale < 1), (0, True)), + 0, + theta_max, +) # karma_pos_graph = plot3d_and_save(karma_pos, "Karma (positive)") @@ -135,7 +147,9 @@ def plot3d_and_save(function, title, slices=False): karma_clamp_graph = plot3d_and_save(karma_clamp, "Karma (clamped)", slices=True) # save_graph_slices(karma_clamp, "ies_angleScale_karma_clamped") -karma_pos_clamp_graph = plot3d_and_save(karma_pos_clamp, "Karma - theta / (1-angleScale) only (clamped)") +karma_pos_clamp_graph = plot3d_and_save( + karma_pos_clamp, "Karma - theta / (1-angleScale) only (clamped)" +) profile_scale = 1 + angleScale rman = ((theta - theta_max) / profile_scale) + theta_max @@ -149,3 +163,42 @@ def plot3d_and_save(function, title, slices=False): plt.show() else: plt.close("all") + +# from sympy.solvers import solve + +# rtheta, ktheta = sympy.symbols("rtheta ktheta") +# req = rtheta - rman +# keq = ktheta - karma + + +# # renderman - light aimed down - 22.5 vangle (real world) maps to 45 (ies lookup) +# solve(req.subs({rtheta: 45, theta: 22.5}), angleScale) +# # 1/6 = 0.16666666666666666 + +# # renderman - light aimed down - 67.5 vangle (real world) maps to 45 (ies lookup) +# solve(req.subs({rtheta: 45, theta: 67.5}), angleScale) +# # -1/6 = -0.16666666666666666 + +# # karma - light aimed down - 22.5 vangle (real world) maps to 45 (ies lookup) +# solve(keq.subs({ktheta: 45, theta: 22.5}), angleScale) +# # 1/2 = .5 + +# # karma - light aimed down - 67.5 vangle (real world) maps to 45 (ies lookup) +# solve(keq.subs({ktheta: 45, theta: 67.5}), angleScale) +# # -1/3 = -0.3333333333333333 + +# # renderman - light aimed up - 112.5 vangle (real world) maps to 135 (ies lookup) +# solve(req.subs({rtheta: 135, theta: 112.5}), angleScale) +# # 1/2 = .5 + +# # renderman - light aimed up - 157.5 vangle (real world) maps to 135 (ies lookup) +# solve(req.subs({rtheta: 135, theta: 157.5}), angleScale) +# # -1/2 = -.5 + +# # karma - light aimed up - 112.5 vangle (real world) maps to 135 (ies lookup) +# solve(keq.subs({ktheta: 135, theta: 112.5}), angleScale) +# # 1/6 = 0.16666666666666666 + +# # karma - light aimed up - 157.5 vangle (real world) maps to 135 (ies lookup) +# solve(keq.subs({ktheta: 135, theta: 157.5}), angleScale) +# # -1/7 = -0.14285714285714285 From de6787a29bd7253f2f14c10661199f7894ec4b78 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 14:22:14 -0700 Subject: [PATCH 07/30] better formatting of .mp4s (compatible with github) --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 110 +++++++++++------- 1 file changed, 65 insertions(+), 45 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 51f6a9e3a41..15cbc0280fb 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -63,8 +63,8 @@ arbitrarily from [ieslibrary.com](ieslibrary.com):

- [usda (frame 1)] - + [usda] + (frame 1) -90° horizontal

(+270° horizontal) @@ -120,8 +120,8 @@ arbitrarily from [ieslibrary.com](ieslibrary.com) used in the previous render:
- [usda (frame 1)] - + [usda] + (frame 1) -45° horizontal

(+315° horizontal) @@ -166,8 +166,8 @@ horizontal-angle differences for this discussion.)
- [usda (frame 11)] - + [usda] + (frame 11) -90° horizontal

(+270° horizontal) @@ -202,8 +202,8 @@ horizontal-angle differences for this discussion.)
- [usda (frame 11)] - + [usda] + (frame 11) -45° horizontal

(+315° horizontal) @@ -335,6 +335,7 @@ The `ies:angleScale` attribute is then animated to scale the light between .5 (45° cone angle) and 1.5 (135° cone angle) - due to the differences in the angleScale formula, the exact value need to achieve this varies in each case. + @@ -342,19 +343,40 @@ angleScale formula, the exact value need to achieve this varies in each case. - + + + + + - - + + + + + + +
Light DirectionKarma (Scale origin: Down)
UpUp - + +
+ + [mp4] [ies] + + [usda] + (frames 50-98) +
  • "Good" scaling - seems to grow + shrink
  • angleScale: .5 scale = -.5; 1.5 scale = .5 @@ -364,56 +386,55 @@ angleScale formula, the exact value need to achieve this varies in each case.
- -

- - [usda (frames 50-98)] - - - [ies] -

  • "Bad" scaling - bands are created + disappear, large dead area at center when scaling up
  • angleScale: .5 scale = -0.142857; 1.5 scale = 0.166667
DownDown - + +
+ + [mp4] + + + [ies] + + + [usda] + (frames 50-98) +
  • "Bad" scaling - bands are created + disappear, large dead area at center when scaling up
  • angleScale: .5 scale = 0.166667; 1.5 scale =-0.166667
  • Please disregard the "blurry" rendering - I'm trying to resolve this issue with RenderMan
  • -
- -

- - [usda (frames 50-98)] - - - [ies] -

  • "Good" scaling - seems to grow + shrink
  • angleScale: .5 scale = .5; 1.5 scale =-0.333333 @@ -422,7 +443,6 @@ angleScale formula, the exact value need to achieve this varies in each case.
- #### Which is more common - spotlights aimed up or down? If [ieslibrary.com](ieslibrary.com) is indicative, lights aimed **down** are From 0f7fcebdcc9fcfc02c416f896805e399b8be705a Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 15:35:59 -0700 Subject: [PATCH 08/30] fix for bimodal - use positive values for lights aimed down --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 15cbc0280fb..90c043ca3bd 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -509,8 +509,8 @@ $$ Pros: - Can give "good" scaling with lights aimed either up OR down - - Use positive values for lights aimed up - - Use negative values for lights aimed down + - Use positive values for lights aimed down (most common) + - Use negative values for lights aimed up - Requires no additional attributes - Provides a backwards-compatible mapping for either RenderMan or Karma From 3c9ef3f3e28105a639a7dfb8d08abdaa68f95f05 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 15:38:12 -0700 Subject: [PATCH 09/30] typo / grammar --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 90c043ca3bd..b5f6297e6cc 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -626,11 +626,10 @@ Pros: - can work "intuitively" with lights aimed in ANY direction - provides a backwards-compatible mapping for either RenderMan or Karma - can provide a possible upgrade path from [Option B][option_b], allowing an - incremental upgrade path that we follow only if there is demand for - IES profile angle-scaling. + incremental upgrade path that we can follow only if there is demand Cons: -- Requires 3 additional attribute +- Requires 3 additional attributes - Most complex, and likely only useful for a relatively small number of lights (ie, ones aimed sideways) From 708955bdf2b486ea73837c362dac6927fc2520a7 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 16:21:47 -0700 Subject: [PATCH 10/30] github's mathjax doesn't support "\," to render a thinspace --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index b5f6297e6cc..d8ebfa93757 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -225,7 +225,7 @@ $$ \theta_{ies} = \frac{\theta_{light} - \pi}{1 + angleScale} + \pi $$ ...which can be rewritten as: -$$ (\theta_{ies} - \pi)\, (1 + angleScale) = (\theta_{light} - \pi) $$ +$$ (\theta_{ies} - \pi)\ (1 + angleScale) = (\theta_{light} - \pi) $$ ...from which we can see that the relation is a simple scale by $(1 + angleScale)$, offset so the scale origin is at $(\theta_{light},\ \theta_{ies}) = (\pi,\ \pi)$. @@ -253,7 +253,7 @@ $$ \theta_{ies} = \begin{dcases} \frac{\theta_{light}}{1 - angleScale}, & \text{if} \quad 0 < angleScale < 1 \\ - \theta_{light} \, (1 + angleScale), & \text{if} \quad -1 < angleScale < 0 \\ + \theta_{light} \ (1 + angleScale), & \text{if} \quad -1 < angleScale < 0 \\ 0, & \text{otherwise} \\ \end{dcases} $$ From 855d19be0b99936f5a8eaafc9696c1012cc4926a Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 16:56:35 -0700 Subject: [PATCH 11/30] Add number of additional attributes required to A/B/C comparison --- .../iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md | 1 + 1 file changed, 1 insertion(+) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index d8ebfa93757..ab2f8879f20 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -637,6 +637,7 @@ Cons: | Feature | A (Bimodal) | B (vAngle Attr) | C (vangle + hAngle Attrs) | | ------------------------------------------------------------ | ------------------- | --------------- | ------------------------- | +| Required additional attributes | 0 | 1 | 3 | | Allows "intuitive" scaling for spotlight aimed up OR down | Yes | Yes | Yes | | Allows "intuitive" scaling for spotlights aimed anywhere | No | Distorted | ***Yes*** | | Useable domain (angleScale) | $(-\infty, \infty)$ | $[0, \infty)$ | $[0, \infty)$ | From 76df1c19b144e55b850026a888bacdb02df11506 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 16:56:58 -0700 Subject: [PATCH 12/30] Replace options B + C with a catchall "Add other attributes" option --- ...dLux-IESAngleScale-FindingsAndQuestions.md | 152 ++++-------------- 1 file changed, 30 insertions(+), 122 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index ab2f8879f20..69890639558 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -488,7 +488,7 @@ Unfortunately, I don't think either option is a clear winner, mostly because: ## Alternative Formulas Given that bot the RenderMan and Karma formulas have significant drawbacks, -here are 3 proposals for alternative formulas: +here are some proposals for alternative formulas: ### A. Bimodal - Scaling Origin at 0° for angleScale > 0, 180° for angleScale < 0 @@ -522,128 +522,36 @@ Cons: - Requires user to figure out whether they should use negative or positive values to get "good" scaling for their light -### B. Add `vAngleScaleCenter` attribute +### B. Add other attributes + +If we're open to adding new attributes, we could allow precise control over +the scaling origin, potentially allow scaling even from horizontally-aimed +lights, and (possibly) make the formula seem a little less "black box" / +obscure. + +Options might include: + +- Adding a `vAngleScaleType` attributes + - Be an eumerated attribute that would allow choosing from fixed number of + behaviors - ie, scaling origin at top (RenderMan style) or bottom (Karma + style) + - Or could have an "auto" setting that attempts to calculate a primary light + direction + - Could provide some future proofing, by adding new allowed values +- Adding a `vAngleScaleCenter` attribute + - Would allow scaling from bottom (by setting to 0°) or top (by setting to + 180°) + - By itself, could allow "distorted" scaling of sideways-aimed lights (ie, + by still only scaling the vertical angle, and leaving horizontal angle + unaltered) +- Adding a `hAngleScaleCenter` attribute + - If combined with a `vAngleScaleCenter`, would allow radial scaling for + any ies light + +While these would enable more control, they would also introduce various levels +of additional complexity, and require more modification to the schema... and +there may not be much demand for this level of control. -**New Attributes:** (exact names TBD) -- `float inputs:shaping:ies:vAngleScaleCenter = 0` - - Valid Range: $[0, 180]$ - - Units: degrees - -By adding one additional attribute, we could allow setting any vertical angle -as the scale origin, providing a clearer way to support lights aimed -either up or down, as well as "partial" support for a light aimed in any -direction (ie, we can locate the scaling origin in the correct place, but the -scaling for lights aimed sideways will be distorted, since we still only alter -the verticalAngle / $\theta$, and leave the horizontalAngle / $\phi$ -untouched.) - -**Mathematical Description:** - -$$ -\theta_{ies} = - \frac{\theta_{light} - vAngleScaleCenter}{angleScale} + vAngleScaleCenter -$$ - -Pros: -- Can give "good" scaling with lights aimed either up OR down -- Provides a backwards-compatible mapping for either RenderMan or Karma -- Provides an "easy" path to later supporting "any" aim direction in the future - (by adding `hAngleScaleCenter` and `angleScaleDirection` - see - [Option C][option_C]) - -Cons: -- Requires 1 additional attribute -- Requires setting an additional attribute to get "good" scaling for a given - light -- Sort-of supports lights aimed to side - can center the vertical original, but - horizontal mapping is not affected, so lights aimed to side will get - "stretched" in vertical direction - ie, a circular spotlight will become an - oval - -Notes: -- In the future, we could possibly allow "auto-dectection" of - `vAngleScaleCenter` by, ie, setting `vAngleScaleCenter = -1` - -### C. Add `vAngleScaleCenter`, `hAngleScaleCenter`, and `angleScaleDirection` attributes - -**New Attributes:** (exact names TBD) - -- `float inputs:shaping:ies:vAngleScaleCenter = 0` - - Valid Range: $[0, 180]$ - - Units: degrees -- `float inputs:shaping:ies:hAngleScaleCenter = 0` - - Valid Range: $[0, 360]$ - - Units: degrees -- `token inputs:shaping:ies:angleScaleDirection = "radial"` - - Valid Values: ["vertical", "radial"] - -By setting `angleScaleDirection` to `radial`, we would remap BOTH vertical -angles and horizontal angles, to allow circular profile scaling about any -aribtrary direction, and "intuitive" profile scaling for any type of spotlight -(by setting `vAngleScaleCenter` and `hAngleScaleOrign` to align with the -profile's "primary" axis). The inclusion of `angleScaleDirection` as an option -allows a backwards-compatible mapping to existing behavior by setting it to -`vertical` - the attribute could be dropped if we don't care about maintaining a -backwards-compatible mapping. - -**Mathematical Description:** - -#### If `angleScaleDirection = "vertical"`: -- then `hAngleScaleCenter` is ignored, and the formula is the same as in - [Option B][option_b] above. - -#### If `angleScaleDirection = "radial"`: - -- Then let $R$ represent the shortest-angle rotation of the - $(vScaleOrigin, hScaleOrigin)$ direction to align with the the - $\theta = 0$ axis, where $(\theta',\ \phi')$ is the image of - $(\theta,\ \phi)$ after this rotation: - -$$ - R(\theta,\ \phi) \rightarrow (\theta',\ \phi') -$$ - -- To translate from $(\theta_{light}, \phi_{light})$ to - $(\theta_{ies}, \phi_{ies})$, we first perform a rotation by $R$ - -$$ (\theta_{light}',\ \phi_{light}') = R(\theta_{light},\ \phi_{light}) $$ - -- Scale the $\theta'$ coordinate by `angleScale`: - -$$ -\begin{align*} - \theta_{ies}' &= \frac{\theta_{light}'}{angleScale} \\ - \phi_{ies}' &= \phi_{light}' \\ -\end{align*} -$$ - -- Then inverse rotate by $R^{-1}$ to get back to our original spherical - coordinate system: - -$$ (\theta_{ies},\ \phi_{ies}) = R^{-1}(\theta_{ies}',\ \phi_{ies}') $$ - -Pros: -- can work "intuitively" with lights aimed in ANY direction -- provides a backwards-compatible mapping for either RenderMan or Karma -- can provide a possible upgrade path from [Option B][option_b], allowing an - incremental upgrade path that we can follow only if there is demand - -Cons: -- Requires 3 additional attributes -- Most complex, and likely only useful for a relatively small number of lights - (ie, ones aimed sideways) - -### Comparison of A / B / C - -| Feature | A (Bimodal) | B (vAngle Attr) | C (vangle + hAngle Attrs) | -| ------------------------------------------------------------ | ------------------- | --------------- | ------------------------- | -| Required additional attributes | 0 | 1 | 3 | -| Allows "intuitive" scaling for spotlight aimed up OR down | Yes | Yes | Yes | -| Allows "intuitive" scaling for spotlights aimed anywhere | No | Distorted | ***Yes*** | -| Useable domain (angleScale) | $(-\infty, \infty)$ | $[0, \infty)$ | $[0, \infty)$ | -| Relation between angleScale and scaling control |

  • Negative: scale origin top
  • Positive: scale origin bottom
  • Abs < 1: narrower
  • Abs > 1: broader
|
  • < 1: narrower
  • > 1: broader
|
  • < 1: narrower
  • > 1: broader
|| Same formula for entire domain? | No | ***Yes*** | ***Yes*** | -| Allows backwards-compatible mapping for RenderMan and Karma? | Yes | Yes | Yes | -| Path to support spotlights aimed anywhere | Unknown | Migrate to C | Already Supported | From f4e1622bba2cdb85cb20521ce5df2109bb6d170a Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 17:19:51 -0700 Subject: [PATCH 13/30] specify the backward-compatible angleScale mapping for A. Bimodal --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 69890639558..3f2ecd7597f 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -514,6 +514,18 @@ Pros: - Requires no additional attributes - Provides a backwards-compatible mapping for either RenderMan or Karma +$$ +\begin{align*} + \text{RenderMan:} & \quad angleScale_{new} = - (1 + angleScale_{old_R}) \\ + + \text{Karma:} & \quad angleScale_{new} = \begin{dcases} + 1 - angleScale_{old_K} & \text{if} \quad 0 < angleScale_{old_K} < 1 \\ + \frac{1}{1 + angleScale_{old_K}} & \text{if} \quad -1 < angleScale_{old_K} < 0 \\ + \end{dcases} +\end{align*} \\ +$$ + + Cons: - Doesn't give "good" scaling with ALL lights (ie, lights aimed to the side) - ...nor does it provide a clear path to supporting any aim direction in the From 23cf30e48b832319c50b741b20dacb4040f3dddf Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 8 Oct 2024 17:21:49 -0700 Subject: [PATCH 14/30] Alternatives cleanup --- .../iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 3f2ecd7597f..2e5b56514a5 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -485,7 +485,7 @@ Unfortunately, I don't think either option is a clear winner, mostly because: mapping from "old" values to "new" values that will result in unaltered behavior for existing scenes. -## Alternative Formulas +## Alternatives Given that bot the RenderMan and Karma formulas have significant drawbacks, here are some proposals for alternative formulas: From e9d9a3b56a06c8ce8c02b9e7d361692a7703ffe8 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 22 Oct 2024 13:28:27 -0700 Subject: [PATCH 15/30] github-compatible LaTeX for showing backward-compatibility equations for bimodal formula --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 15 +++++++++------ 1 file changed, 9 insertions(+), 6 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index 2e5b56514a5..d41ed4985a6 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -513,17 +513,20 @@ Pros: - Use negative values for lights aimed up - Requires no additional attributes - Provides a backwards-compatible mapping for either RenderMan or Karma + - Renderman: -$$ -\begin{align*} - \text{RenderMan:} & \quad angleScale_{new} = - (1 + angleScale_{old_R}) \\ + $$ + angleScale_{new} = - (1 + angleScale_{old_R}) + $$ + + - Karma: - \text{Karma:} & \quad angleScale_{new} = \begin{dcases} + $$ + angleScale_{new} = \begin{dcases} 1 - angleScale_{old_K} & \text{if} \quad 0 < angleScale_{old_K} < 1 \\ \frac{1}{1 + angleScale_{old_K}} & \text{if} \quad -1 < angleScale_{old_K} < 0 \\ \end{dcases} -\end{align*} \\ -$$ + $$ Cons: From 7d754420b3bf3b36cac29e793cf1681073aebb72 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 22 Oct 2024 15:22:37 -0700 Subject: [PATCH 16/30] angleScale_fromulas.py: add bimodal, GraphOptions --- .../iesAngleScale/angleScale_formulas.py | 176 ++++++++++++------ 1 file changed, 124 insertions(+), 52 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py index bab1ec9ce07..20bdf359d8d 100644 --- a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py +++ b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py @@ -1,17 +1,23 @@ # execfile(r"C:\src\NVIDIA\usd-ci\USD\pxr\usd\usdLux\iesAngleScale\angleScale_formulas.py") +from attrs import frozen +import dataclasses import inspect import math import os import matplotlib.pyplot as plt import mpl_toolkits.mplot3d.axes3d +import numpy +from numpy import angle import spb import sympy +from typing import Optional, Tuple + # from sympy import * from spb import plot, plot3d -INTERACTIVE_VIEW = False +INTERACTIVE_VIEW = True THIS_FILE = os.path.abspath(inspect.getsourcefile(lambda: None) or __file__) @@ -25,6 +31,78 @@ def Clamp(x, min, max): return sympy.Min(sympy.Max(x, min), max) +theta, angleScale = sympy.symbols("theta angleScale") + +# angle_units = "radians" +ANGLE_UNITS = "degrees" + +if ANGLE_UNITS == "radians": + THETA_MAX = sympy.pi +elif ANGLE_UNITS == "degrees": + THETA_MAX = 180 + +# in latex format +THETA_INPUT_LABEL = r"$\theta_{light}$" +THETA_OUTPUT_LABEL = r"$\theta_{ies}$" +THETA_INPUT_LABEL = f"{THETA_INPUT_LABEL} ({ANGLE_UNITS})" +THETA_OUTPUT_LABEL = f"{THETA_OUTPUT_LABEL} ({ANGLE_UNITS})" + +THETA_MIN_MAX = (0, THETA_MAX) +ANGLESCALE_MIN_MAX = (-1, 1) + +@dataclasses.dataclass(frozen=True) +class GraphOptions: + theta_min_max: Tuple[float, float] = THETA_MIN_MAX + angleScale_min_max: Tuple[float, float] = ANGLESCALE_MIN_MAX + axis_size_scales: Tuple[float, float, float] = (1, 1, 1) + view_angles: Optional[Tuple[float, float, float]] = None + + def set_on_graph(self, graph): + return self.set_on_axes(graph.ax) + + def set_on_axes(self, axes): + if not "theta" in axes.get_xlabel(): + raise ValueError("expected x-axis to be theta") + + axes.set_xlabel(THETA_INPUT_LABEL) + axes.set_xlim(*self.theta_min_max) + if hasattr(axes, "set_zlim"): + axes.set_ylim(*self.angleScale_min_max) + axes.set_zlim(*self.theta_min_max) + axes.set_zlabel(THETA_OUTPUT_LABEL) + else: + axes.set_ylim(*self.theta_min_max) + axes.set_ylabel(THETA_OUTPUT_LABEL) + + if self.axis_size_scales != (1, 1, 1): + set_axis_size_scales(axes, self.axis_size_scales) + + def theta_lim(self): + return (theta,) + self.theta_min_max + + def angleScale_lim(self): + return (angleScale,) + self.angleScale_min_max + + def make_graph(self, function, title): + num_symbols = len(function.free_symbols) + if num_symbols == 1: + is3d = False + elif num_symbols == 2: + is3d = True + else: + raise ValueError(num_symbols) + + if is3d: + graph = spb.plot3d(function, self.theta_lim(), self.angleScale_lim(), show=False, title=title) + else: + graph = spb.plot(function, self.theta_lim(), show=False, title=title) + + self.set_on_graph(graph) + return graph + + +DEFAULT_GRAPH = GraphOptions() + def save_graph(graph, filename, dpi=300): ext = os.path.splitext(filename)[-1].lstrip(".") if not ext or ext.isdigit(): @@ -35,61 +113,38 @@ def save_graph(graph, filename, dpi=300): # "graph.process_series()", but that seemed to make a second copy of the # graph, that didn't respect the zlim axes = graph.ax - - set_axis_limits(axes) graph.fig.savefig(filepath, dpi=dpi) -theta, angleScale = sympy.symbols("theta angleScale") +def set_axis_size_scales(axes, axis_size_scales: Tuple[float, float, float]): + from mpl_toolkits.mplot3d.axes3d import Axes3D + max_scale = max(axis_size_scales) + diagonal = numpy.array(axis_size_scales) / max_scale + diagonal = numpy.insert(diagonal, 3, 1.0) + scale = numpy.diag(diagonal) -# angle_units = "radians" -angle_units = "degrees" + def scaled_projection(): + return numpy.dot(Axes3D.get_proj(axes), scale) -if angle_units == "radians": - theta_max = sympy.pi -elif angle_units == "degrees": - theta_max = 180 + axes.get_proj = scaled_projection -# in latex format -theta_input_label = r"$\theta_{light}$" -theta_output_label = r"$\theta_{ies}$" -theta_input_label = f"{theta_input_label} ({angle_units})" -theta_output_label = f"{theta_output_label} ({angle_units})" - -theta_lim = (theta, 0, theta_max) -angleScale_lim = (angleScale, -1, 1) - - -def set_axis_limits(axes): - if not "theta" in axes.get_xlabel(): - raise ValueError("expected x-axis to be theta") - axes.set_xlabel(theta_input_label) - axes.set_xlim(*theta_lim[1:]) - if hasattr(axes, "set_zlim"): - axes.set_ylim(*angleScale_lim[1:]) - axes.set_zlim(*theta_lim[1:]) - axes.set_zlabel(theta_output_label) - else: - axes.set_ylim(*theta_lim[1:]) - axes.set_ylabel(theta_output_label) - - -def save_graph_slices(function, title, filename): + +def save_graph_slices(function, title, filename, graph_options=DEFAULT_GRAPH): for i in range(-100, 101, 25): angleScale_val = i / 100 angleScale_str = f"{angleScale_val:+.02f}" title_i = f"{title} (angleScale = {angleScale_str})" filename_i = f"{filename}_{angleScale_str}" slice_func = function.subs(angleScale, angleScale_val) - graph = spb.plot(slice_func, theta_lim, show=False, title=title_i) + graph = graph_options.make_graph(slice_func, title=title_i) if any( isinstance(x, sympy.core.numbers.ComplexInfinity) for x in slice_func.atoms() ): del graph.series[0] axes = graph.ax - set_axis_limits(axes) + graph_options.set_on_axes(axes) x_center = sum(axes.get_xlim()) / 2 y_center = sum(axes.get_ylim()) / 2 axes.text( @@ -106,8 +161,8 @@ def save_graph_slices(function, title, filename): plt.close(graph.fig) -def plot3d_and_save(function, title, slices=False): - graph = spb.plot3d(function, theta_lim, angleScale_lim, show=False, title=title) +def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): + graph = graph_options.make_graph(function, title=title) filename = f"ies_angleScale_{title}" filename = filename.replace(" - ", "-") filename = filename.replace("/", "over") @@ -117,7 +172,7 @@ def plot3d_and_save(function, title, slices=False): save_graph(graph, filename) if slices: - save_graph_slices(function, title, filename) + save_graph_slices(function, title, filename, graph_options=graph_options) return graph @@ -130,39 +185,56 @@ def plot3d_and_save(function, title, slices=False): (karma_pos, angleScale < 1), (0, True), ) -karma_clamp = Clamp(karma, 0, theta_max) +karma_clamp = Clamp(karma, 0, THETA_MAX) karma_pos_clamp = Clamp( sympy.Piecewise((0, angleScale < -1), (karma_pos, angleScale < 1), (0, True)), 0, - theta_max, + THETA_MAX, ) # karma_pos_graph = plot3d_and_save(karma_pos, "Karma (positive)") # karma_neg_graph = plot3d_and_save(karma_neg, "Karma (negative)") -karma_graph = plot3d_and_save(karma, "Karma (unclamped)") +# karma_graph = plot3d_and_save(karma, "Karma (unclamped)") -karma_clamp_graph = plot3d_and_save(karma_clamp, "Karma (clamped)", slices=True) +# karma_clamp_graph = plot3d_and_save(karma_clamp, "Karma (clamped)", slices=True) # save_graph_slices(karma_clamp, "ies_angleScale_karma_clamped") -karma_pos_clamp_graph = plot3d_and_save( - karma_pos_clamp, "Karma - theta / (1-angleScale) only (clamped)" -) +# karma_pos_clamp_graph = plot3d_and_save( +# karma_pos_clamp, "Karma - theta / (1-angleScale) only (clamped)" +# ) profile_scale = 1 + angleScale -rman = ((theta - theta_max) / profile_scale) + theta_max -rman_clamp = Clamp(sympy.Piecewise((rman, angleScale > -1), (0, True)), 0, theta_max) +rman = ((theta - THETA_MAX) / profile_scale) + THETA_MAX +rman_clamp = Clamp(sympy.Piecewise((rman, angleScale > -1), (0, True)), 0, THETA_MAX) + +# rman_graph = plot3d_and_save(rman, "Renderman (unclamped)") + +# rman_clamp_graph = plot3d_and_save(rman_clamp, "Renderman (clamped)", slices=True) + + +# if angleScale > 0, scale origin is at bottom (vangle=0) +# if angleScale == 0, no change +# if angleScale < 0, scale origin is at top (vangle=180) + +bimodal_pos = theta / angleScale +bimodal_neg = ((theta - THETA_MAX) / -angleScale) + THETA_MAX +bimodal_neg_clamp = Clamp(bimodal_neg, 0, THETA_MAX) +# bimodal_neg_clamp_graph = plot3d_and_save(bimodal_neg_clamp, "Bimodal Neg (Clamped)", slices=False, angleScale_min_max=(-1, 0)) -rman_graph = plot3d_and_save(rman, "Renderman (unclamped)") +bimodal = sympy.Piecewise((bimodal_pos, angleScale > 0), (bimodal_neg, angleScale < 0), (theta, True)) +bimodal_clamp = Clamp(bimodal, 0, THETA_MAX) -rman_clamp_graph = plot3d_and_save(rman_clamp, "Renderman (clamped)", slices=True) +bimodal_options = GraphOptions(angleScale_min_max=(-2, 2), axis_size_scales=(1, 2, 1)) +bimodal_clamp_graph = plot3d_and_save(bimodal_clamp, "Bimodal (clamped)", slices=False, graph_options=bimodal_options) if INTERACTIVE_VIEW: plt.show() else: - plt.close("all") + # plt.close("all") + pass # from sympy.solvers import solve From 7b95e98857515a4477bec481caaccc00399e3cf6 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 22 Oct 2024 15:36:58 -0700 Subject: [PATCH 17/30] angleScale_fromulas.py: add view_angles --- .../iesAngleScale/angleScale_formulas.py | 20 +++++++++++++++++-- 1 file changed, 18 insertions(+), 2 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py index 20bdf359d8d..491dba1e453 100644 --- a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py +++ b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py @@ -50,12 +50,26 @@ def Clamp(x, min, max): THETA_MIN_MAX = (0, THETA_MAX) ANGLESCALE_MIN_MAX = (-1, 1) +@dataclasses.dataclass(frozen=True) +class ViewAngles: + elev: Optional[float] = None + azim: Optional[float] = None + roll: Optional[float] = None + + def is_null(self): + return self.elev is None and self.azim is None and self.roll is None + + def set_on_axes(self, axes): + if self.is_null(): + return + axes.view_init(elev=self.elev, azim=self.azim, roll=self.roll) + @dataclasses.dataclass(frozen=True) class GraphOptions: theta_min_max: Tuple[float, float] = THETA_MIN_MAX angleScale_min_max: Tuple[float, float] = ANGLESCALE_MIN_MAX axis_size_scales: Tuple[float, float, float] = (1, 1, 1) - view_angles: Optional[Tuple[float, float, float]] = None + view_angles: ViewAngles = ViewAngles() def set_on_graph(self, graph): return self.set_on_axes(graph.ax) @@ -77,6 +91,8 @@ def set_on_axes(self, axes): if self.axis_size_scales != (1, 1, 1): set_axis_size_scales(axes, self.axis_size_scales) + self.view_angles.set_on_axes(axes) + def theta_lim(self): return (theta,) + self.theta_min_max @@ -227,7 +243,7 @@ def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): bimodal = sympy.Piecewise((bimodal_pos, angleScale > 0), (bimodal_neg, angleScale < 0), (theta, True)) bimodal_clamp = Clamp(bimodal, 0, THETA_MAX) -bimodal_options = GraphOptions(angleScale_min_max=(-2, 2), axis_size_scales=(1, 2, 1)) +bimodal_options = GraphOptions(angleScale_min_max=(-2, 2), axis_size_scales=(1, 2, 1), view_angles=ViewAngles(azim=25, elev=35)) bimodal_clamp_graph = plot3d_and_save(bimodal_clamp, "Bimodal (clamped)", slices=False, graph_options=bimodal_options) if INTERACTIVE_VIEW: From f7b0543ecc6f8d7d5533ce4a587254ce30a61eb1 Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 22 Oct 2024 16:34:41 -0700 Subject: [PATCH 18/30] angleScale_fromulas.py: better method for setting relative axis size --- .../iesAngleScale/angleScale_formulas.py | 39 ++++++++----------- 1 file changed, 16 insertions(+), 23 deletions(-) diff --git a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py index 491dba1e453..6a203248dc8 100644 --- a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py +++ b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py @@ -68,13 +68,11 @@ def set_on_axes(self, axes): class GraphOptions: theta_min_max: Tuple[float, float] = THETA_MIN_MAX angleScale_min_max: Tuple[float, float] = ANGLESCALE_MIN_MAX - axis_size_scales: Tuple[float, float, float] = (1, 1, 1) + box_aspect: Tuple[float, float, float] = (1, 1, 1) view_angles: ViewAngles = ViewAngles() def set_on_graph(self, graph): - return self.set_on_axes(graph.ax) - - def set_on_axes(self, axes): + axes = graph.ax if not "theta" in axes.get_xlabel(): raise ValueError("expected x-axis to be theta") @@ -88,8 +86,8 @@ def set_on_axes(self, axes): axes.set_ylim(*self.theta_min_max) axes.set_ylabel(THETA_OUTPUT_LABEL) - if self.axis_size_scales != (1, 1, 1): - set_axis_size_scales(axes, self.axis_size_scales) + if self.box_aspect != (1, 1, 1): + axes.set_box_aspect(self.box_aspect) self.view_angles.set_on_axes(axes) @@ -132,20 +130,6 @@ def save_graph(graph, filename, dpi=300): graph.fig.savefig(filepath, dpi=dpi) -def set_axis_size_scales(axes, axis_size_scales: Tuple[float, float, float]): - from mpl_toolkits.mplot3d.axes3d import Axes3D - - max_scale = max(axis_size_scales) - diagonal = numpy.array(axis_size_scales) / max_scale - diagonal = numpy.insert(diagonal, 3, 1.0) - scale = numpy.diag(diagonal) - - def scaled_projection(): - return numpy.dot(Axes3D.get_proj(axes), scale) - - axes.get_proj = scaled_projection - - def save_graph_slices(function, title, filename, graph_options=DEFAULT_GRAPH): for i in range(-100, 101, 25): angleScale_val = i / 100 @@ -159,8 +143,8 @@ def save_graph_slices(function, title, filename, graph_options=DEFAULT_GRAPH): for x in slice_func.atoms() ): del graph.series[0] + graph_options.set_on_graph(graph) axes = graph.ax - graph_options.set_on_axes(axes) x_center = sum(axes.get_xlim()) / 2 y_center = sum(axes.get_ylim()) / 2 axes.text( @@ -243,8 +227,17 @@ def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): bimodal = sympy.Piecewise((bimodal_pos, angleScale > 0), (bimodal_neg, angleScale < 0), (theta, True)) bimodal_clamp = Clamp(bimodal, 0, THETA_MAX) -bimodal_options = GraphOptions(angleScale_min_max=(-2, 2), axis_size_scales=(1, 2, 1), view_angles=ViewAngles(azim=25, elev=35)) -bimodal_clamp_graph = plot3d_and_save(bimodal_clamp, "Bimodal (clamped)", slices=False, graph_options=bimodal_options) +bimodal_options = GraphOptions( + angleScale_min_max=(-2, 2), + box_aspect=(1, 2, 1), + view_angles=ViewAngles(azim=25.97402597402598, elev=42.792207792207805)) + +bimodal_clamp_graph = plot3d_and_save( + bimodal_clamp, + "Bimodal (clamped)", + slices=False, + graph_options=bimodal_options, +) if INTERACTIVE_VIEW: plt.show() From ad9a3ee5c0a64533891a42be7a4f47b63f8efaac Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 22 Oct 2024 16:38:08 -0700 Subject: [PATCH 19/30] add ies_angleScale_Bimodal_clamped*.jpg --- .../ies_angleScale_Bimodal_clamped.jpg | Bin 0 -> 162593 bytes .../ies_angleScale_Bimodal_clamped_+0.00.jpg | Bin 0 -> 146958 bytes .../ies_angleScale_Bimodal_clamped_+0.25.jpg | Bin 0 -> 143565 bytes .../ies_angleScale_Bimodal_clamped_+0.50.jpg | Bin 0 -> 145031 bytes .../ies_angleScale_Bimodal_clamped_+0.75.jpg | Bin 0 -> 145779 bytes .../ies_angleScale_Bimodal_clamped_+1.00.jpg | Bin 0 -> 146682 bytes .../ies_angleScale_Bimodal_clamped_-0.25.jpg | Bin 0 -> 143084 bytes .../ies_angleScale_Bimodal_clamped_-0.50.jpg | Bin 0 -> 144542 bytes 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formula --- .../UsdLux-IESAngleScale-FindingsAndQuestions.md | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md index d41ed4985a6..1831199a71f 100644 --- a/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md +++ b/pxr/usd/usdLux/iesAngleScale/UsdLux-IESAngleScale-FindingsAndQuestions.md @@ -502,6 +502,10 @@ $$ \begin{dcases} \frac{\theta_{light}}{angleScale}, & \text{if} \quad angleScale > 0 \\ + \\ + \theta_{light} + & \text{if} \quad angleScale = 0 \\ + \\ \frac{\theta_{light} - \pi}{-angleScale} + \pi, & \text{if} \quad angleScale < 0 \\ \end{dcases} From 62bf836e515667dc6a2f680ad49dc9df206ca44e Mon Sep 17 00:00:00 2001 From: Paul Molodowitch Date: Tue, 22 Oct 2024 17:39:35 -0700 Subject: [PATCH 21/30] render bimodal graphs from -2 to +2, in .25 increments --- .../iesAngleScale/angleScale_formulas.py | 68 ++++++++++-------- .../ies_angleScale_Bimodal_clamped.jpg | Bin 162593 -> 170051 bytes .../ies_angleScale_Bimodal_clamped_+0.00.jpg | Bin 146958 -> 142802 bytes .../ies_angleScale_Bimodal_clamped_+0.25.jpg | Bin 143565 -> 138656 bytes .../ies_angleScale_Bimodal_clamped_+0.50.jpg | Bin 145031 -> 141114 bytes .../ies_angleScale_Bimodal_clamped_+0.75.jpg | Bin 145779 -> 140523 bytes .../ies_angleScale_Bimodal_clamped_+1.00.jpg | Bin 146682 -> 142637 bytes .../ies_angleScale_Bimodal_clamped_+1.25.jpg | Bin 0 -> 141523 bytes .../ies_angleScale_Bimodal_clamped_+1.50.jpg | Bin 0 -> 138577 bytes .../ies_angleScale_Bimodal_clamped_+1.75.jpg | Bin 0 -> 139361 bytes .../ies_angleScale_Bimodal_clamped_+2.00.jpg | Bin 0 -> 139223 bytes .../ies_angleScale_Bimodal_clamped_-0.25.jpg | Bin 143084 -> 138436 bytes .../ies_angleScale_Bimodal_clamped_-0.50.jpg | Bin 144542 -> 140121 bytes .../ies_angleScale_Bimodal_clamped_-0.75.jpg | Bin 145148 -> 141892 bytes .../ies_angleScale_Bimodal_clamped_-1.00.jpg | Bin 146095 -> 142062 bytes .../ies_angleScale_Bimodal_clamped_-1.25.jpg | Bin 0 -> 140959 bytes .../ies_angleScale_Bimodal_clamped_-1.50.jpg | Bin 0 -> 140412 bytes .../ies_angleScale_Bimodal_clamped_-1.75.jpg | Bin 0 -> 139062 bytes .../ies_angleScale_Bimodal_clamped_-2.00.jpg | Bin 0 -> 138860 bytes 19 files changed, 37 insertions(+), 31 deletions(-) create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_+1.25.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_+1.50.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_+1.75.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_+2.00.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_-1.25.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_-1.50.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_-1.75.jpg create mode 100644 pxr/usd/usdLux/iesAngleScale/ies_angleScale_Bimodal_clamped_-2.00.jpg diff --git a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py index 6a203248dc8..ec2bd788748 100644 --- a/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py +++ b/pxr/usd/usdLux/iesAngleScale/angleScale_formulas.py @@ -62,14 +62,20 @@ def is_null(self): def set_on_axes(self, axes): if self.is_null(): return + if not hasattr(axes, "view_init"): + return axes.view_init(elev=self.elev, azim=self.azim, roll=self.roll) +BIMODAL_VIEW_ANGLE = ViewAngles(azim=25.97402597402598, elev=42.792207792207805) +DEFAULT_VIEW_ANGLE = ViewAngles() + + @dataclasses.dataclass(frozen=True) class GraphOptions: theta_min_max: Tuple[float, float] = THETA_MIN_MAX angleScale_min_max: Tuple[float, float] = ANGLESCALE_MIN_MAX box_aspect: Tuple[float, float, float] = (1, 1, 1) - view_angles: ViewAngles = ViewAngles() + view_angles: ViewAngles = DEFAULT_VIEW_ANGLE def set_on_graph(self, graph): axes = graph.ax @@ -82,12 +88,16 @@ def set_on_graph(self, graph): axes.set_ylim(*self.angleScale_min_max) axes.set_zlim(*self.theta_min_max) axes.set_zlabel(THETA_OUTPUT_LABEL) + if self.box_aspect != (1, 1, 1): + print(f"{self.box_aspect=}") + axes.set_box_aspect(self.box_aspect) else: axes.set_ylim(*self.theta_min_max) axes.set_ylabel(THETA_OUTPUT_LABEL) - - if self.box_aspect != (1, 1, 1): - axes.set_box_aspect(self.box_aspect) + aspect = (self.box_aspect[0], self.box_aspect[2]) + if aspect != (1, 1): + aspectRatio = aspect[1] / aspect[0] + axes.set_aspect(aspectRatio) self.view_angles.set_on_axes(axes) @@ -97,20 +107,13 @@ def theta_lim(self): def angleScale_lim(self): return (angleScale,) + self.angleScale_min_max - def make_graph(self, function, title): - num_symbols = len(function.free_symbols) - if num_symbols == 1: - is3d = False - elif num_symbols == 2: - is3d = True - else: - raise ValueError(num_symbols) - - if is3d: - graph = spb.plot3d(function, self.theta_lim(), self.angleScale_lim(), show=False, title=title) - else: - graph = spb.plot(function, self.theta_lim(), show=False, title=title) + def make_graph2d(self, function, title): + graph = spb.plot(function, self.theta_lim(), show=False, title=title) + self.set_on_graph(graph) + return graph + def make_graph3d(self, function, title): + graph = spb.plot3d(function, self.theta_lim(), self.angleScale_lim(), show=False, title=title) self.set_on_graph(graph) return graph @@ -130,14 +133,17 @@ def save_graph(graph, filename, dpi=300): graph.fig.savefig(filepath, dpi=dpi) -def save_graph_slices(function, title, filename, graph_options=DEFAULT_GRAPH): - for i in range(-100, 101, 25): - angleScale_val = i / 100 +def save_graph_slices(function, title, filename, num_slices, graph_options=DEFAULT_GRAPH): + start, end = graph_options.angleScale_min_max + dist = end - start + step = dist / (num_slices - 1) + for i in range(num_slices): + angleScale_val = round((i * step) + start, 6) angleScale_str = f"{angleScale_val:+.02f}" title_i = f"{title} (angleScale = {angleScale_str})" filename_i = f"{filename}_{angleScale_str}" slice_func = function.subs(angleScale, angleScale_val) - graph = graph_options.make_graph(slice_func, title=title_i) + graph = graph_options.make_graph2d(slice_func, title=title_i) if any( isinstance(x, sympy.core.numbers.ComplexInfinity) for x in slice_func.atoms() @@ -161,8 +167,8 @@ def save_graph_slices(function, title, filename, graph_options=DEFAULT_GRAPH): plt.close(graph.fig) -def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): - graph = graph_options.make_graph(function, title=title) +def plot3d_and_save(function, title, slices=0, graph_options=DEFAULT_GRAPH): + graph = graph_options.make_graph3d(function, title=title) filename = f"ies_angleScale_{title}" filename = filename.replace(" - ", "-") filename = filename.replace("/", "over") @@ -172,7 +178,7 @@ def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): save_graph(graph, filename) if slices: - save_graph_slices(function, title, filename, graph_options=graph_options) + save_graph_slices(function, title, filename, num_slices=slices, graph_options=graph_options) return graph @@ -199,8 +205,7 @@ def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): # karma_graph = plot3d_and_save(karma, "Karma (unclamped)") -# karma_clamp_graph = plot3d_and_save(karma_clamp, "Karma (clamped)", slices=True) -# save_graph_slices(karma_clamp, "ies_angleScale_karma_clamped") +karma_clamp_graph = plot3d_and_save(karma_clamp, "Karma (clamped)", slices=9) # karma_pos_clamp_graph = plot3d_and_save( # karma_pos_clamp, "Karma - theta / (1-angleScale) only (clamped)" @@ -212,7 +217,7 @@ def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): # rman_graph = plot3d_and_save(rman, "Renderman (unclamped)") -# rman_clamp_graph = plot3d_and_save(rman_clamp, "Renderman (clamped)", slices=True) +rman_clamp_graph = plot3d_and_save(rman_clamp, "Renderman (clamped)", slices=9) # if angleScale > 0, scale origin is at bottom (vangle=0) @@ -222,20 +227,21 @@ def plot3d_and_save(function, title, slices=False, graph_options=DEFAULT_GRAPH): bimodal_pos = theta / angleScale bimodal_neg = ((theta - THETA_MAX) / -angleScale) + THETA_MAX bimodal_neg_clamp = Clamp(bimodal_neg, 0, THETA_MAX) -# bimodal_neg_clamp_graph = plot3d_and_save(bimodal_neg_clamp, "Bimodal Neg (Clamped)", slices=False, angleScale_min_max=(-1, 0)) +# bimodal_neg_clamp_graph = plot3d_and_save(bimodal_neg_clamp, "Bimodal Neg (Clamped)", slices=9, angleScale_min_max=(-1, 0)) bimodal = sympy.Piecewise((bimodal_pos, angleScale > 0), (bimodal_neg, angleScale < 0), (theta, True)) bimodal_clamp = Clamp(bimodal, 0, THETA_MAX) + bimodal_options = GraphOptions( angleScale_min_max=(-2, 2), - box_aspect=(1, 2, 1), - view_angles=ViewAngles(azim=25.97402597402598, elev=42.792207792207805)) + box_aspect=(4, 8, 3), + 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