Attachment 27485 Details for Bug 22622 – Replacse noise opcodes with GLSL implementation

[patch] Replacse noise opcodes with GLSL implementation

0001-glsl-Replace-noise-opcodes-with-a-GLSL-noise-impleme.patch (text/plain), 26.99 KB, created by Ian Romanick on 2009-07-07 16:26:30 UTC

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Creator: Ian Romanick

Created: 2009-07-07 16:26:30 UTC

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>From eded0255b409bfebeece76afdb65f03182ffff3c Mon Sep 17 00:00:00 2001
>From: Ian Romanick <ian.d.romanick@intel.com>
>Date: Tue, 7 Jul 2009 16:22:25 -0700
>Subject: [PATCH] glsl: Replace noise opcodes with a GLSL noise implementation
>
>No hardware has a noise opcode, so don't try to pretend otherwise.  Instead use
>a reasonable GLSL based implementation.  Currently this code works as-is on
>i965 for simple demos.  However, fully implementing noise4 results in
>overflowing the register set.  I suspect the compiler to too aggressivly
>inlining noise1 function calls.
>---
> .../shader/slang/library/slang_common_builtin.gc   |  186 ++++++++++++++++++--
> .../shader/slang/library/slang_common_builtin_gc.h |  183 ++++++++++++-------
> 2 files changed, 285 insertions(+), 84 deletions(-)
>
>diff --git a/src/mesa/shader/slang/library/slang_common_builtin.gc b/src/mesa/shader/slang/library/slang_common_builtin.gc
>index 9764fc2..fe9989f 100644
>--- a/src/mesa/shader/slang/library/slang_common_builtin.gc
>+++ b/src/mesa/shader/slang/library/slang_common_builtin.gc
>@@ -1764,28 +1764,166 @@ vec4 shadow2DRectProj(const sampler2DRectShadow sampler, const vec4 coord)
> //
> // 8.9 Noise Functions
> //
>-// AUTHOR: Stefan Gustavson (stegu@itn.liu.se), Nov 26, 2005
>+// Implementation of Marc Olano's modified noise function.
>+//
>+// Fairly straight-forward implementation of the modified noise algorithm
>+// described in:
>+//
>+//     Olano, Marc. "Modified Noise for Evaluation on Graphics Hardware".
>+//         Proceedings of Graphics Hardware 2005, Eurographics/ACM SIGGRAPH,
>+//         July 2005.
>+//
>+// The implementations of noise[234] could be vastly improved.  Vectorizing
>+// the calculations instead of making multiple independent inoise1 calls
>+// should give a healthy speed-up in that code.  I did not implement this
>+// because I believe that noise[234] are called much less frequently than
>+// noise1.  Patches and evidence to the contrary are always welcome.
>+//
>+// AUTHOR: Ian Romanick <idr@freedesktop.org>
> //
> 
>-float noise1(const float x)
>+/**
>+ * Smooth transition with a 5th degree polynomial
>+ *
>+ * This function is much like the existing \c smoothstep function.  Instead
>+ * of using a 3rd degree polynomial, it uses the following 5th degree
>+ * polynomial:
>+ *
>+ *        s = 6t^5 - 15t^4 + 10t^3
>+ *
>+ * This is the same smooth step function used by Perlin's improved noise
>+ * function.  See:
>+ * 
>+ *     Perlin, K. 2002. Improving noise. In Proceedings of the 29th Annual
>+ *         Conference on Computer Graphics and interactive Techniques
>+ *         (San Antonio, Texas, July 23 - 26, 2002). SIGGRAPH '02. ACM,
>+ *         New York, NY, 681-682.  http://mrl.nyu.edu/~perlin/paper445.pdf
>+ */
>+vec2 smoothstep5(const vec2 t)
>+{
>+   return t * t * t * (t * (t * 6.0 - 15.0) + 10.0);
>+}
>+
>+float smoothstep5(const float t)
> {
>-   __asm float_noise1 __retVal, x;
>+   return t * t * t * (t * (t * 6.0 - 15.0) + 10.0);
> }
> 
>+vec2 perm2(const float x)
>+{
>+   vec2 v = vec2(x, x + 1.0);
>+   v = (3.0 * v) + 3.0;
>+   return mod(v * v, 61.0);
>+}
>+
>+vec4 perm4(const vec2 x)
>+{
>+   vec4 v = vec4(x.x, x.x + 1.0, x.y, x.y + 1.0);
>+   v = (3.0 * v) + 3.0;
>+   return mod(v * v, 61.0);
>+}
>+
>+/**
>+ * Vectorized 1-dimensional gradient function
>+ *
>+ * \return
>+ * The output X component is \c p.x if \c x.x is even or \c -p.x if \c x.x
>+ * is odd.  The output Y component is set similarly but uses \c p.y and
>+ * \c x.y.
>+ */
>+vec2 grad(const vec2 x, const vec2 p)
>+{
>+   /* floor(x) is...       even   odd
>+    * previous % 2.0       0.0    1.0
>+    * 2.0 * previous       0.0    2.0
>+    * 1.0 - previous       1.0   -1.0
>+    */
>+   return p * (1.0 - (2.0 * mod(floor(x), 2.0)));
>+}
>+
>+/**
>+ * Vectorized 2-dimensional gradient function
>+ *
>+ * Similar to the 1-dimensional gradient function except Y components are
>+ * based on the parity of \c x.y / 2.0.
>+ */
>+vec2 grad(const vec2 x, const vec2 p1, const vec2 p2)
>+{
>+   const vec4 x2 = x.xxyy * vec4(1.0, 0.5, 1.0, 0.5);
>+   const vec4 grad_val = (1.0 - (2.0 * mod(floor(x2), 2.0)));
>+
>+   return vec2(dot(grad_val.xy, p1), dot(grad_val.zw, p2));
>+}
>+
>+float noise1_basis(const float p, const vec2 v)
>+{
>+   const float f = smoothstep5(fract(p));
>+   const vec2 A = perm2(floor(p));
>+   const vec2 g = grad(A, v);
>+
>+   return mix(g.x, g.y, f);
>+}
>+
>+vec2 noise1_basis(const float p, const vec4 v)
>+{
>+   const float f = smoothstep5(fract(p));
>+   const vec2 A = perm2(floor(p));
>+   const vec4 g = vec4(grad(A, v.xy), grad(A, v.zw));
>+
>+   return mix(g.xz, g.yw, f);
>+}
>+
>+float noise1(const float x)
>+{
>+   const float frcP = fract(x);
>+   const vec2 v = vec2(frcP, frcP + 1.0);
>+   const float f = smoothstep5(frcP);
>+   const vec2 A = perm2(floor(x));
>+   const vec2 g = grad(A, v);
>+
>+   return mix(g.x, g.y, f);
>+}
> 
> float noise1(const vec2 x)
> {
>-    __asm float_noise2 __retVal, x;
>+   const vec2 bias = vec2(0.0, -1.0);
>+   const vec2 intP = floor(x);
>+   const vec2 frcP = fract(x);
>+   const vec2 f = smoothstep5(frcP);
>+   const vec2 A = perm2(intP.x) + intP.y;
>+   const vec4 AA = perm4(A);
>+
>+   const vec4 g = vec4(grad(AA.xz, frcP          , frcP + bias.yx),
>+                       grad(AA.yw, frcP + bias.xy, frcP + bias.yy));
>+   const vec4 fv = vec2(f.x, 1.0 - f.x).yxyx * vec2(f.y, 1.0 - f.y).yyxx;
>+
>+   return dot(g, fv);
> }
> 
> float noise1(const vec3 x)
> {
>-    __asm float_noise3 __retVal, x;
>+   vec2 pp = perm2(floor(x.z)) + x.y;
>+
>+   return noise1_basis(x.z,
>+                       vec2(noise1(vec2(x.x, pp.x)),
>+                            noise1(vec2(x.x, pp.y))));
> }
> 
> float noise1(const vec4 x)
> {
>-    __asm float_noise4 __retVal, x;
>+   const float intW = floor(x.w);
>+   const vec2 pp = perm2(intW);
>+
>+   const vec2 q = pp + x.zz;
>+   const vec2 intZ = floor(q);
>+   vec4 qq = perm4(intZ) + x.yyyy;
>+
>+   qq.x = noise1(vec2(x.x, qq.x));
>+   qq.y = noise1(vec2(x.x, qq.y));
>+   qq.z = noise1(vec2(x.x, qq.z));
>+   qq.w = noise1(vec2(x.x, qq.w));
>+
>+   return noise1_basis(x.w, noise1_basis(q.x, qq));
> }
> 
> vec2 noise2(const float x)
>@@ -1816,58 +1954,70 @@ vec3 noise3(const float x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + 19.34);
>-   __retVal.z = noise1(x + 5.47);
>+   //__retVal.z = noise1(x + 5.47);
>+   __retVal.z = __retVal.x;
> }
> 
> vec3 noise3(const vec2 x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + vec2(19.34, 7.66));
>-   __retVal.z = noise1(x + vec2(5.47, 17.85));
>+   //__retVal.z = noise1(x + vec2(5.47, 17.85));
>+   __retVal.z = __retVal.x;
> }
> 
> vec3 noise3(const vec3 x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + vec3(19.34, 7.66, 3.23));
>-   __retVal.z = noise1(x + vec3(5.47, 17.85, 11.04));
>+   //__retVal.z = noise1(x + vec3(5.47, 17.85, 11.04));
>+   __retVal.z = __retVal.x;
> }
> 
> vec3 noise3(const vec4 x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + vec4(19.34, 7.66, 3.23, 2.77));
>-   __retVal.z = noise1(x + vec4(5.47, 17.85, 11.04, 13.19));
>+   //__retVal.z = noise1(x + vec4(5.47, 17.85, 11.04, 13.19));
>+   __retVal.z = __retVal.x;
> }
> 
> vec4 noise4(const float x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + 19.34);
>-   __retVal.z = noise1(x + 5.47);
>-   __retVal.w = noise1(x + 23.54);
>+   //__retVal.z = noise1(x + 5.47);
>+   //__retVal.w = noise1(x + 23.54);
>+   __retVal.z = __retVal.x;
>+   __retVal.w = __retVal.y;
> }
> 
> vec4 noise4(const vec2 x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + vec2 (19.34, 7.66));
>-   __retVal.z = noise1(x + vec2 (5.47, 17.85));
>-   __retVal.w = noise1(x + vec2 (23.54, 29.11));
>+   //__retVal.z = noise1(x + vec2 (5.47, 17.85));
>+   //__retVal.w = noise1(x + vec2 (23.54, 29.11));
>+   __retVal.z = __retVal.x;
>+   __retVal.w = __retVal.y;
> }
> 
> vec4 noise4(const vec3 x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + vec3(19.34, 7.66, 3.23));
>-   __retVal.z = noise1(x + vec3(5.47, 17.85, 11.04));
>-   __retVal.w = noise1(x + vec3(23.54, 29.11, 31.91));
>+   //__retVal.z = noise1(x + vec3(5.47, 17.85, 11.04));
>+   //__retVal.w = noise1(x + vec3(23.54, 29.11, 31.91));
>+   __retVal.z = __retVal.x;
>+   __retVal.w = __retVal.y;
> }
> 
> vec4 noise4(const vec4 x)
> {
>    __retVal.x = noise1(x);
>    __retVal.y = noise1(x + vec4(19.34, 7.66, 3.23, 2.77));
>-   __retVal.z = noise1(x + vec4(5.47, 17.85, 11.04, 13.19));
>-   __retVal.w = noise1(x + vec4(23.54, 29.11, 31.91, 37.48));
>+   //__retVal.z = noise1(x + vec4(5.47, 17.85, 11.04, 13.19));
>+   //__retVal.w = noise1(x + vec4(23.54, 29.11, 31.91, 37.48));
>+   __retVal.z = __retVal.x;
>+   __retVal.w = __retVal.y;
> }
>diff --git a/src/mesa/shader/slang/library/slang_common_builtin_gc.h b/src/mesa/shader/slang/library/slang_common_builtin_gc.h
>index 78a7b83..6f7015b 100644
>--- a/src/mesa/shader/slang/library/slang_common_builtin_gc.h
>+++ b/src/mesa/shader/slang/library/slang_common_builtin_gc.h
>@@ -801,72 +801,123 @@
> 0,115,104,97,100,111,119,50,68,82,101,99,116,80,114,111,106,0,1,1,0,0,23,0,115,97,109,112,108,101,
> 114,0,0,1,1,0,0,12,0,99,111,111,114,100,0,0,0,1,4,118,101,99,52,95,116,101,120,95,114,101,99,116,
> 95,112,114,111,106,95,115,104,97,100,111,119,0,18,95,95,114,101,116,86,97,108,0,0,18,115,97,109,
>-112,108,101,114,0,0,18,99,111,111,114,100,0,0,0,0,1,90,95,0,0,9,0,0,110,111,105,115,101,49,0,1,1,0,
>-0,9,0,120,0,0,0,1,4,102,108,111,97,116,95,110,111,105,115,101,49,0,18,95,95,114,101,116,86,97,108,
>-0,0,18,120,0,0,0,0,1,90,95,0,0,9,0,0,110,111,105,115,101,49,0,1,1,0,0,10,0,120,0,0,0,1,4,102,108,
>-111,97,116,95,110,111,105,115,101,50,0,18,95,95,114,101,116,86,97,108,0,0,18,120,0,0,0,0,1,90,95,0,
>-0,9,0,0,110,111,105,115,101,49,0,1,1,0,0,11,0,120,0,0,0,1,4,102,108,111,97,116,95,110,111,105,115,
>-101,51,0,18,95,95,114,101,116,86,97,108,0,0,18,120,0,0,0,0,1,90,95,0,0,9,0,0,110,111,105,115,101,
>-49,0,1,1,0,0,12,0,120,0,0,0,1,4,102,108,111,97,116,95,110,111,105,115,101,52,0,18,95,95,114,101,
>-116,86,97,108,0,0,18,120,0,0,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,50,0,1,1,0,0,9,0,120,0,0,0,
>-1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,
>-95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,17,49,57,0,51,52,0,0,
>-46,0,0,20,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,50,0,1,1,0,0,10,0,120,0,0,0,1,9,18,95,95,114,
>-101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,
>-116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,50,0,0,17,49,57,0,51,
>-52,0,0,0,17,55,0,54,54,0,0,0,0,46,0,0,20,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,50,0,1,1,0,0,
>-11,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,
>-0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,
>-118,101,99,51,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,0,50,51,0,0,0,0,46,0,0,20,0,0,1,
>-90,95,0,0,10,0,0,110,111,105,115,101,50,0,1,1,0,0,12,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,
>-108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,
>-59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,49,57,0,51,52,0,0,0,17,55,
>-0,54,54,0,0,0,17,51,0,50,51,0,0,0,17,50,0,55,55,0,0,0,0,46,0,0,20,0,0,1,90,95,0,0,11,0,0,110,111,
>-105,115,101,51,0,1,1,0,0,9,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,
>+112,108,101,114,0,0,18,99,111,111,114,100,0,0,0,0,1,90,95,0,0,10,0,0,115,109,111,111,116,104,115,
>+116,101,112,53,0,1,1,0,0,10,0,116,0,0,0,1,8,18,116,0,18,116,0,48,18,116,0,48,18,116,0,18,116,0,17,
>+54,0,48,0,0,48,17,49,53,0,48,0,0,47,48,17,49,48,0,48,0,0,46,48,0,0,1,90,95,0,0,9,0,0,115,109,111,
>+111,116,104,115,116,101,112,53,0,1,1,0,0,9,0,116,0,0,0,1,8,18,116,0,18,116,0,48,18,116,0,48,18,116,
>+0,18,116,0,17,54,0,48,0,0,48,17,49,53,0,48,0,0,47,48,17,49,48,0,48,0,0,46,48,0,0,1,90,95,0,0,10,0,
>+0,112,101,114,109,50,0,1,1,0,0,9,0,120,0,0,0,1,3,2,90,95,0,0,10,0,1,118,0,2,58,118,101,99,50,0,0,
>+18,120,0,0,18,120,0,17,49,0,48,0,0,46,0,0,0,0,9,18,118,0,17,51,0,48,0,0,18,118,0,48,17,51,0,48,0,0,
>+46,20,0,8,58,109,111,100,0,0,18,118,0,18,118,0,48,0,17,54,49,0,48,0,0,0,0,0,0,1,90,95,0,0,12,0,0,
>+112,101,114,109,52,0,1,1,0,0,10,0,120,0,0,0,1,3,2,90,95,0,0,12,0,1,118,0,2,58,118,101,99,52,0,0,18,
>+120,0,59,120,0,0,18,120,0,59,120,0,17,49,0,48,0,0,46,0,18,120,0,59,121,0,0,18,120,0,59,121,0,17,49,
>+0,48,0,0,46,0,0,0,0,9,18,118,0,17,51,0,48,0,0,18,118,0,48,17,51,0,48,0,0,46,20,0,8,58,109,111,100,
>+0,0,18,118,0,18,118,0,48,0,17,54,49,0,48,0,0,0,0,0,0,1,90,95,0,0,10,0,0,103,114,97,100,0,1,1,0,0,
>+10,0,120,0,0,1,1,0,0,10,0,112,0,0,0,1,8,18,112,0,17,49,0,48,0,0,17,50,0,48,0,0,58,109,111,100,0,0,
>+58,102,108,111,111,114,0,0,18,120,0,0,0,0,17,50,0,48,0,0,0,0,48,47,48,0,0,1,90,95,0,0,10,0,0,103,
>+114,97,100,0,1,1,0,0,10,0,120,0,0,1,1,0,0,10,0,112,49,0,0,1,1,0,0,10,0,112,50,0,0,0,1,3,2,90,95,1,
>+0,12,0,1,120,50,0,2,18,120,0,59,120,120,121,121,0,58,118,101,99,52,0,0,17,49,0,48,0,0,0,17,48,0,53,
>+0,0,0,17,49,0,48,0,0,0,17,48,0,53,0,0,0,0,48,0,0,3,2,90,95,1,0,12,0,1,103,114,97,100,95,118,97,108,
>+0,2,17,49,0,48,0,0,17,50,0,48,0,0,58,109,111,100,0,0,58,102,108,111,111,114,0,0,18,120,50,0,0,0,0,
>+17,50,0,48,0,0,0,0,48,47,0,0,8,58,118,101,99,50,0,0,58,100,111,116,0,0,18,103,114,97,100,95,118,97,
>+108,0,59,120,121,0,0,18,112,49,0,0,0,0,58,100,111,116,0,0,18,103,114,97,100,95,118,97,108,0,59,122,
>+119,0,0,18,112,50,0,0,0,0,0,0,0,1,90,95,0,0,9,0,0,110,111,105,115,101,49,95,98,97,115,105,115,0,1,
>+1,0,0,9,0,112,0,0,1,1,0,0,10,0,118,0,0,0,1,3,2,90,95,1,0,9,0,1,102,0,2,58,115,109,111,111,116,104,
>+115,116,101,112,53,0,0,58,102,114,97,99,116,0,0,18,112,0,0,0,0,0,0,0,3,2,90,95,1,0,10,0,1,65,0,2,
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>+0,2,58,103,114,97,100,0,0,18,65,0,0,18,118,0,0,0,0,0,8,58,109,105,120,0,0,18,103,0,59,120,0,0,18,
>+103,0,59,121,0,0,18,102,0,0,0,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,49,95,98,97,115,105,115,0,
>+1,1,0,0,9,0,112,0,0,1,1,0,0,12,0,118,0,0,0,1,3,2,90,95,1,0,9,0,1,102,0,2,58,115,109,111,111,116,
>+104,115,116,101,112,53,0,0,58,102,114,97,99,116,0,0,18,112,0,0,0,0,0,0,0,3,2,90,95,1,0,10,0,1,65,0,
>+2,58,112,101,114,109,50,0,0,58,102,108,111,111,114,0,0,18,112,0,0,0,0,0,0,0,3,2,90,95,1,0,12,0,1,
>+103,0,2,58,118,101,99,52,0,0,58,103,114,97,100,0,0,18,65,0,0,18,118,0,59,120,121,0,0,0,0,58,103,
>+114,97,100,0,0,18,65,0,0,18,118,0,59,122,119,0,0,0,0,0,0,0,8,58,109,105,120,0,0,18,103,0,59,120,
>+122,0,0,18,103,0,59,121,119,0,0,18,102,0,0,0,0,0,1,90,95,0,0,9,0,0,110,111,105,115,101,49,0,1,1,0,
>+0,9,0,120,0,0,0,1,3,2,90,95,1,0,9,0,1,102,114,99,80,0,2,58,102,114,97,99,116,0,0,18,120,0,0,0,0,0,
>+3,2,90,95,1,0,10,0,1,118,0,2,58,118,101,99,50,0,0,18,102,114,99,80,0,0,18,102,114,99,80,0,17,49,0,
>+48,0,0,46,0,0,0,0,3,2,90,95,1,0,9,0,1,102,0,2,58,115,109,111,111,116,104,115,116,101,112,53,0,0,18,
>+102,114,99,80,0,0,0,0,0,3,2,90,95,1,0,10,0,1,65,0,2,58,112,101,114,109,50,0,0,58,102,108,111,111,
>+114,0,0,18,120,0,0,0,0,0,0,0,3,2,90,95,1,0,10,0,1,103,0,2,58,103,114,97,100,0,0,18,65,0,0,18,118,0,
>+0,0,0,0,8,58,109,105,120,0,0,18,103,0,59,120,0,0,18,103,0,59,121,0,0,18,102,0,0,0,0,0,1,90,95,0,0,
>+9,0,0,110,111,105,115,101,49,0,1,1,0,0,10,0,120,0,0,0,1,3,2,90,95,1,0,10,0,1,98,105,97,115,0,2,58,
>+118,101,99,50,0,0,17,48,0,48,0,0,0,17,49,0,48,0,0,54,0,0,0,0,3,2,90,95,1,0,10,0,1,105,110,116,80,0,
>+2,58,102,108,111,111,114,0,0,18,120,0,0,0,0,0,3,2,90,95,1,0,10,0,1,102,114,99,80,0,2,58,102,114,97,
>+99,116,0,0,18,120,0,0,0,0,0,3,2,90,95,1,0,10,0,1,102,0,2,58,115,109,111,111,116,104,115,116,101,
>+112,53,0,0,18,102,114,99,80,0,0,0,0,0,3,2,90,95,1,0,10,0,1,65,0,2,58,112,101,114,109,50,0,0,18,105,
>+110,116,80,0,59,120,0,0,0,18,105,110,116,80,0,59,121,0,46,0,0,3,2,90,95,1,0,12,0,1,65,65,0,2,58,
>+112,101,114,109,52,0,0,18,65,0,0,0,0,0,3,2,90,95,1,0,12,0,1,103,0,2,58,118,101,99,52,0,0,58,103,
>+114,97,100,0,0,18,65,65,0,59,120,122,0,0,18,102,114,99,80,0,0,18,102,114,99,80,0,18,98,105,97,115,
>+0,59,121,120,0,46,0,0,0,58,103,114,97,100,0,0,18,65,65,0,59,121,119,0,0,18,102,114,99,80,0,18,98,
>+105,97,115,0,59,120,121,0,46,0,18,102,114,99,80,0,18,98,105,97,115,0,59,121,121,0,46,0,0,0,0,0,0,3,
>+2,90,95,1,0,12,0,1,102,118,0,2,58,118,101,99,50,0,0,18,102,0,59,120,0,0,17,49,0,48,0,0,18,102,0,59,
>+120,0,47,0,0,59,121,120,121,120,0,58,118,101,99,50,0,0,18,102,0,59,121,0,0,17,49,0,48,0,0,18,102,0,
>+59,121,0,47,0,0,59,121,121,120,120,0,48,0,0,8,58,100,111,116,0,0,18,103,0,0,18,102,118,0,0,0,0,0,1,
>+90,95,0,0,9,0,0,110,111,105,115,101,49,0,1,1,0,0,11,0,120,0,0,0,1,3,2,90,95,0,0,10,0,1,112,112,0,2,
>+58,112,101,114,109,50,0,0,58,102,108,111,111,114,0,0,18,120,0,59,122,0,0,0,0,0,18,120,0,59,121,0,
>+46,0,0,8,58,110,111,105,115,101,49,95,98,97,115,105,115,0,0,18,120,0,59,122,0,0,58,118,101,99,50,0,
>+0,58,110,111,105,115,101,49,0,0,58,118,101,99,50,0,0,18,120,0,59,120,0,0,18,112,112,0,59,120,0,0,0,
>+0,0,0,58,110,111,105,115,101,49,0,0,58,118,101,99,50,0,0,18,120,0,59,120,0,0,18,112,112,0,59,121,0,
>+0,0,0,0,0,0,0,0,0,0,1,90,95,0,0,9,0,0,110,111,105,115,101,49,0,1,1,0,0,12,0,120,0,0,0,1,3,2,90,95,
>+1,0,9,0,1,105,110,116,87,0,2,58,102,108,111,111,114,0,0,18,120,0,59,119,0,0,0,0,0,3,2,90,95,1,0,10,
>+0,1,112,112,0,2,58,112,101,114,109,50,0,0,18,105,110,116,87,0,0,0,0,0,3,2,90,95,1,0,10,0,1,113,0,2,
>+18,112,112,0,18,120,0,59,122,122,0,46,0,0,3,2,90,95,1,0,10,0,1,105,110,116,90,0,2,58,102,108,111,
>+111,114,0,0,18,113,0,0,0,0,0,3,2,90,95,0,0,12,0,1,113,113,0,2,58,112,101,114,109,52,0,0,18,105,110,
>+116,90,0,0,0,18,120,0,59,121,121,121,121,0,46,0,0,9,18,113,113,0,59,120,0,58,110,111,105,115,101,
>+49,0,0,58,118,101,99,50,0,0,18,120,0,59,120,0,0,18,113,113,0,59,120,0,0,0,0,0,20,0,9,18,113,113,0,
>+59,121,0,58,110,111,105,115,101,49,0,0,58,118,101,99,50,0,0,18,120,0,59,120,0,0,18,113,113,0,59,
>+121,0,0,0,0,0,20,0,9,18,113,113,0,59,122,0,58,110,111,105,115,101,49,0,0,58,118,101,99,50,0,0,18,
>+120,0,59,120,0,0,18,113,113,0,59,122,0,0,0,0,0,20,0,9,18,113,113,0,59,119,0,58,110,111,105,115,101,
>+49,0,0,58,118,101,99,50,0,0,18,120,0,59,120,0,0,18,113,113,0,59,119,0,0,0,0,0,20,0,8,58,110,111,
>+105,115,101,49,95,98,97,115,105,115,0,0,18,120,0,59,119,0,0,58,110,111,105,115,101,49,95,98,97,115,
>+105,115,0,0,18,113,0,59,120,0,0,18,113,113,0,0,0,0,0,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,50,
>+0,1,1,0,0,9,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,
>+0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,
>+120,0,17,49,57,0,51,52,0,0,46,0,0,20,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,50,0,1,1,0,0,10,0,
>+120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,
>+20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,
>+99,50,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,0,46,0,0,20,0,0,1,90,95,0,0,10,0,0,110,111,
>+105,115,101,50,0,1,1,0,0,11,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,
>+105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,
>+115,101,49,0,0,18,120,0,58,118,101,99,51,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,0,50,
>+51,0,0,0,0,46,0,0,20,0,0,1,90,95,0,0,10,0,0,110,111,105,115,101,50,0,1,1,0,0,12,0,120,0,0,0,1,9,18,
>+95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,
>+114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,49,
>+57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,0,50,51,0,0,0,17,50,0,55,55,0,0,0,0,46,0,0,20,0,0,1,90,
>+95,0,0,11,0,0,110,111,105,115,101,51,0,1,1,0,0,9,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,
>+59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,
>+0,58,110,111,105,115,101,49,0,0,18,120,0,17,49,57,0,51,52,0,0,46,0,0,20,0,9,18,95,95,114,101,116,
>+86,97,108,0,59,122,0,18,95,95,114,101,116,86,97,108,0,59,120,0,20,0,0,1,90,95,0,0,11,0,0,110,111,
>+105,115,101,51,0,1,1,0,0,10,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,
> 105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,
>-115,101,49,0,0,18,120,0,17,49,57,0,51,52,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,
>-0,58,110,111,105,115,101,49,0,0,18,120,0,17,53,0,52,55,0,0,46,0,0,20,0,0,1,90,95,0,0,11,0,0,110,
>-111,105,115,101,51,0,1,1,0,0,10,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,
>+115,101,49,0,0,18,120,0,58,118,101,99,50,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,0,46,0,0,
>+20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,18,95,95,114,101,116,86,97,108,0,59,120,0,20,0,0,
>+1,90,95,0,0,11,0,0,110,111,105,115,101,51,0,1,1,0,0,11,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,
>+108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,
>+59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,51,0,0,17,49,57,0,51,52,0,0,0,17,55,
>+0,54,54,0,0,0,17,51,0,50,51,0,0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,18,95,
>+95,114,101,116,86,97,108,0,59,120,0,20,0,0,1,90,95,0,0,11,0,0,110,111,105,115,101,51,0,1,1,0,0,12,
>+0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,
>+0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,
>+101,99,52,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,0,50,51,0,0,0,17,50,0,55,55,0,0,0,0,
>+46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,18,95,95,114,101,116,86,97,108,0,59,120,0,
>+20,0,0,1,90,95,0,0,12,0,0,110,111,105,115,101,52,0,1,1,0,0,9,0,120,0,0,0,1,9,18,95,95,114,101,116,
>+86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,
>+108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,17,49,57,0,51,52,0,0,46,0,0,20,0,9,18,95,95,
>+114,101,116,86,97,108,0,59,122,0,18,95,95,114,101,116,86,97,108,0,59,120,0,20,0,9,18,95,95,114,101,
>+116,86,97,108,0,59,119,0,18,95,95,114,101,116,86,97,108,0,59,121,0,20,0,0,1,90,95,0,0,12,0,0,110,
>+111,105,115,101,52,0,1,1,0,0,10,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,
> 111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,
> 105,115,101,49,0,0,18,120,0,58,118,101,99,50,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,0,46,0,
>-0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,
>-101,99,50,0,0,17,53,0,52,55,0,0,0,17,49,55,0,56,53,0,0,0,0,46,0,0,20,0,0,1,90,95,0,0,11,0,0,110,
>-111,105,115,101,51,0,1,1,0,0,11,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,
>-111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,111,
>-105,115,101,49,0,0,18,120,0,58,118,101,99,51,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,
>-0,50,51,0,0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,58,110,111,105,115,101,49,
>-0,0,18,120,0,58,118,101,99,51,0,0,17,53,0,52,55,0,0,0,17,49,55,0,56,53,0,0,0,17,49,49,0,48,52,0,0,
>-0,0,46,0,0,20,0,0,1,90,95,0,0,11,0,0,110,111,105,115,101,51,0,1,1,0,0,12,0,120,0,0,0,1,9,18,95,95,
>-114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,
>-101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,49,57,
>-0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,0,50,51,0,0,0,17,50,0,55,55,0,0,0,0,46,0,0,20,0,9,18,95,95,
>-114,101,116,86,97,108,0,59,122,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,53,
>-0,52,55,0,0,0,17,49,55,0,56,53,0,0,0,17,49,49,0,48,52,0,0,0,17,49,51,0,49,57,0,0,0,0,46,0,0,20,0,0,
>-1,90,95,0,0,12,0,0,110,111,105,115,101,52,0,1,1,0,0,9,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,
>-108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,
>-59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,17,49,57,0,51,52,0,0,46,0,0,20,0,9,18,95,95,114,
>-101,116,86,97,108,0,59,122,0,58,110,111,105,115,101,49,0,0,18,120,0,17,53,0,52,55,0,0,46,0,0,20,0,
>-9,18,95,95,114,101,116,86,97,108,0,59,119,0,58,110,111,105,115,101,49,0,0,18,120,0,17,50,51,0,53,
>-52,0,0,46,0,0,20,0,0,1,90,95,0,0,12,0,0,110,111,105,115,101,52,0,1,1,0,0,10,0,120,0,0,0,1,9,18,95,
>-95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,
>-101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,50,0,0,17,49,57,
>-0,51,52,0,0,0,17,55,0,54,54,0,0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,58,110,
>-111,105,115,101,49,0,0,18,120,0,58,118,101,99,50,0,0,17,53,0,52,55,0,0,0,17,49,55,0,56,53,0,0,0,0,
>-46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,119,0,58,110,111,105,115,101,49,0,0,18,120,0,58,
>-118,101,99,50,0,0,17,50,51,0,53,52,0,0,0,17,50,57,0,49,49,0,0,0,0,46,0,0,20,0,0,1,90,95,0,0,12,0,0,
>-110,111,105,115,101,52,0,1,1,0,0,11,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,59,120,0,58,
>-110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,0,58,110,
>-111,105,115,101,49,0,0,18,120,0,58,118,101,99,51,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,
>-51,0,50,51,0,0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,58,110,111,105,115,101,
>-49,0,0,18,120,0,58,118,101,99,51,0,0,17,53,0,52,55,0,0,0,17,49,55,0,56,53,0,0,0,17,49,49,0,48,52,0,
>-0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,119,0,58,110,111,105,115,101,49,0,0,18,120,
>-0,58,118,101,99,51,0,0,17,50,51,0,53,52,0,0,0,17,50,57,0,49,49,0,0,0,17,51,49,0,57,49,0,0,0,0,46,0,
>-0,20,0,0,1,90,95,0,0,12,0,0,110,111,105,115,101,52,0,1,1,0,0,12,0,120,0,0,0,1,9,18,95,95,114,101,
>-116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,
>-97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,49,57,0,51,52,0,0,
>-0,17,55,0,54,54,0,0,0,17,51,0,50,51,0,0,0,17,50,0,55,55,0,0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,
>-86,97,108,0,59,122,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,53,0,52,55,0,0,
>-0,17,49,55,0,56,53,0,0,0,17,49,49,0,48,52,0,0,0,17,49,51,0,49,57,0,0,0,0,46,0,0,20,0,9,18,95,95,
>-114,101,116,86,97,108,0,59,119,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,50,
>-51,0,53,52,0,0,0,17,50,57,0,49,49,0,0,0,17,51,49,0,57,49,0,0,0,17,51,55,0,52,56,0,0,0,0,46,0,0,20,
>-0,0,0
>+0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,18,95,95,114,101,116,86,97,108,0,59,120,0,20,0,
>+9,18,95,95,114,101,116,86,97,108,0,59,119,0,18,95,95,114,101,116,86,97,108,0,59,121,0,20,0,0,1,90,
>+95,0,0,12,0,0,110,111,105,115,101,52,0,1,1,0,0,11,0,120,0,0,0,1,9,18,95,95,114,101,116,86,97,108,0,
>+59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,121,
>+0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,51,0,0,17,49,57,0,51,52,0,0,0,17,55,0,54,54,
>+0,0,0,17,51,0,50,51,0,0,0,0,46,0,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,122,0,18,95,95,114,
>+101,116,86,97,108,0,59,120,0,20,0,9,18,95,95,114,101,116,86,97,108,0,59,119,0,18,95,95,114,101,116,
>+86,97,108,0,59,121,0,20,0,0,1,90,95,0,0,12,0,0,110,111,105,115,101,52,0,1,1,0,0,12,0,120,0,0,0,1,9,
>+18,95,95,114,101,116,86,97,108,0,59,120,0,58,110,111,105,115,101,49,0,0,18,120,0,0,0,20,0,9,18,95,
>+95,114,101,116,86,97,108,0,59,121,0,58,110,111,105,115,101,49,0,0,18,120,0,58,118,101,99,52,0,0,17,
>+49,57,0,51,52,0,0,0,17,55,0,54,54,0,0,0,17,51,0,50,51,0,0,0,17,50,0,55,55,0,0,0,0,46,0,0,20,0,9,18,
>+95,95,114,101,116,86,97,108,0,59,122,0,18,95,95,114,101,116,86,97,108,0,59,120,0,20,0,9,18,95,95,
>+114,101,116,86,97,108,0,59,119,0,18,95,95,114,101,116,86,97,108,0,59,121,0,20,0,0,0
>-- 
>1.6.3.3
>

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