ywas

libmandel/include/Mandel.h

@@ -45,6 +45,7 @@ enum class mnd::GeneratorType
     QUAD_DOUBLE,
     FLOAT128,
     FLOAT256,
+    FIXED64,
     FIXED512
 };
 

libmandel/src/ClGenerators.cpp

@@ -631,10 +631,10 @@ void ClGenerator64::generate(const mnd::MandelInfo& info, float* data)
     float pixelScaleY = float(info.view.height / info.bHeight);
 
     using ull = unsigned long long;
-    ull x = ull(::round(double(info.view.x) * (1LL << 32)));
-    ull y = ull(::round(double(info.view.y) * (1LL << 32)));
-    ull w = ull(::round(double(pixelScaleX) * (1LL << 32)));
-    ull h = ull(::round(double(pixelScaleY) * (1LL << 32)));
+    ull x = ull(::round(double(info.view.x) * (1LL << 48)));
+    ull y = ull(::round(double(info.view.y) * (1LL << 48)));
+    ull w = ull(::round(double(pixelScaleX) * (1LL << 48)));
+    ull h = ull(::round(double(pixelScaleY) * (1LL << 48)));
     //x = 0;
     //y = 0;
 

libmandel/src/Mandel.cpp

@@ -41,6 +41,7 @@ static const std::map<mnd::GeneratorType, std::string> typeNames =
     { mnd::GeneratorType::QUAD_DOUBLE, "quad double" },
     { mnd::GeneratorType::FLOAT128, "float128" },
     { mnd::GeneratorType::FLOAT256, "float256" },
+    { mnd::GeneratorType::FIXED64, "fixed64" },
     { mnd::GeneratorType::FIXED512, "fixed512" },
 };
 
@@ -245,7 +246,7 @@ std::vector<MandelDevice> MandelContext::createDevices(void)
             //printf("    using opencl device: %s\n", md.name.c_str());
             try {
                 md.generators.insert({ GeneratorType::FLOAT, std::make_unique<ClGeneratorFloat>(device) });
-                md.generators.insert({ GeneratorType::FIXED512, std::make_unique<ClGenerator64>(device) });
+                md.generators.insert({ GeneratorType::FIXED64, std::make_unique<ClGenerator64>(device) });
                 //md.generators.insert({ GeneratorType::DOUBLE_FLOAT, std::make_unique<ClGeneratorDoubleFloat>(device) });
             }
             catch (const std::string& err) {

libmandel/src/opencl/fixed64.cl

@@ -3,15 +3,15 @@
 long mul(long a, long b) {
     long upper = mul_hi(a, b);
     long lower = a * b;
-    return (upper << 32) + ((lower >> 32) & 0xFFFFFFFF);
+    return (upper << 16) + ((lower >> 48) & 0xFFFF);
 }
 
 
 __kernel void iterate(__global float* A, const int width,
                       ulong x, ulong y, ulong pw, ulong ph, int max, int smooth) {
     int index = get_global_id(0);
-    long px = (index % width) ;
-    long py = (index / width) ;
+    long px = (index % width);
+    long py = (index / width);
 
     long xl = x;
     long yt = y;
@@ -28,7 +28,7 @@ __kernel void iterate(__global float* A, const int width,
         long aa = mul(a, a);
         long bb = mul(b, b);
         long ab = mul(a, b);
-        if (aa + bb > (16LL << 32)) break;
+        if (aa + bb > (16LL << 48)) break;
         a = aa - bb + ca;
         b = ab + ab + cb;
         n++;
@@ -39,8 +39,8 @@ __kernel void iterate(__global float* A, const int width,
         A[index] = max;
     else {
         if (smooth != 0) {
-            float aapprox = ((float) a) * (1.0f / (1LL << 32)); // 3.5527137e-15f;
-            float bapprox = ((float) b) * (1.0f / (1LL << 32)); // 3.5527137e-15f;
+            float aapprox = ((float) a) * (1.0f / (1LL << 48)); // 3.5527137e-15f;
+            float bapprox = ((float) b) * (1.0f / (1LL << 48)); // 3.5527137e-15f;
             A[index] = ((float) n) + 1 - log(log(aapprox * aapprox + bapprox * bapprox) / 2) / log(2.0f);
         }
         else

libmandel/src/opencl/fixed64.h

@@ -7,109 +7,109 @@ unsigned char fixed64_cl[] = {
   0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x6c, 0x6f, 0x77,
   0x65, 0x72, 0x20, 0x3d, 0x20, 0x61, 0x20, 0x2a, 0x20, 0x62, 0x3b, 0x0a,
   0x20, 0x20, 0x20, 0x20, 0x72, 0x65, 0x74, 0x75, 0x72, 0x6e, 0x20, 0x28,
-  0x75, 0x70, 0x70, 0x65, 0x72, 0x20, 0x3c, 0x3c, 0x20, 0x33, 0x32, 0x29,
+  0x75, 0x70, 0x70, 0x65, 0x72, 0x20, 0x3c, 0x3c, 0x20, 0x31, 0x36, 0x29,
   0x20, 0x2b, 0x20, 0x28, 0x28, 0x6c, 0x6f, 0x77, 0x65, 0x72, 0x20, 0x3e,
-  0x3e, 0x20, 0x33, 0x32, 0x29, 0x20, 0x26, 0x20, 0x30, 0x78, 0x46, 0x46,
-  0x46, 0x46, 0x46, 0x46, 0x46, 0x46, 0x29, 0x3b, 0x0a, 0x7d, 0x0a, 0x0a,
-  0x0a, 0x5f, 0x5f, 0x6b, 0x65, 0x72, 0x6e, 0x65, 0x6c, 0x20, 0x76, 0x6f,
-  0x69, 0x64, 0x20, 0x69, 0x74, 0x65, 0x72, 0x61, 0x74, 0x65, 0x28, 0x5f,
-  0x5f, 0x67, 0x6c, 0x6f, 0x62, 0x61, 0x6c, 0x20, 0x66, 0x6c, 0x6f, 0x61,
-  0x74, 0x2a, 0x20, 0x41, 0x2c, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20,
-  0x69, 0x6e, 0x74, 0x20, 0x77, 0x69, 0x64, 0x74, 0x68, 0x2c, 0x0a, 0x20,
+  0x3e, 0x20, 0x34, 0x38, 0x29, 0x20, 0x26, 0x20, 0x30, 0x78, 0x46, 0x46,
+  0x46, 0x46, 0x29, 0x3b, 0x0a, 0x7d, 0x0a, 0x0a, 0x0a, 0x5f, 0x5f, 0x6b,
+  0x65, 0x72, 0x6e, 0x65, 0x6c, 0x20, 0x76, 0x6f, 0x69, 0x64, 0x20, 0x69,
+  0x74, 0x65, 0x72, 0x61, 0x74, 0x65, 0x28, 0x5f, 0x5f, 0x67, 0x6c, 0x6f,
+  0x62, 0x61, 0x6c, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x2a, 0x20, 0x41,
+  0x2c, 0x20, 0x63, 0x6f, 0x6e, 0x73, 0x74, 0x20, 0x69, 0x6e, 0x74, 0x20,
+  0x77, 0x69, 0x64, 0x74, 0x68, 0x2c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
   0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x75, 0x6c, 0x6f,
-  0x6e, 0x67, 0x20, 0x78, 0x2c, 0x20, 0x75, 0x6c, 0x6f, 0x6e, 0x67, 0x20,
-  0x79, 0x2c, 0x20, 0x75, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x77, 0x2c,
-  0x20, 0x75, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x68, 0x2c, 0x20, 0x69,
-  0x6e, 0x74, 0x20, 0x6d, 0x61, 0x78, 0x2c, 0x20, 0x69, 0x6e, 0x74, 0x20,
-  0x73, 0x6d, 0x6f, 0x6f, 0x74, 0x68, 0x29, 0x20, 0x7b, 0x0a, 0x20, 0x20,
-  0x20, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x69, 0x6e, 0x64, 0x65, 0x78, 0x20,
-  0x3d, 0x20, 0x67, 0x65, 0x74, 0x5f, 0x67, 0x6c, 0x6f, 0x62, 0x61, 0x6c,
-  0x5f, 0x69, 0x64, 0x28, 0x30, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20,
-  0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x78, 0x20, 0x3d, 0x20, 0x28, 0x69,
-  0x6e, 0x64, 0x65, 0x78, 0x20, 0x25, 0x20, 0x77, 0x69, 0x64, 0x74, 0x68,
-  0x29, 0x20, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67,
-  0x20, 0x70, 0x79, 0x20, 0x3d, 0x20, 0x28, 0x69, 0x6e, 0x64, 0x65, 0x78,
-  0x20, 0x2f, 0x20, 0x77, 0x69, 0x64, 0x74, 0x68, 0x29, 0x20, 0x3b, 0x0a,
-  0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x78, 0x6c,
-  0x20, 0x3d, 0x20, 0x78, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f,
-  0x6e, 0x67, 0x20, 0x79, 0x74, 0x20, 0x3d, 0x20, 0x79, 0x3b, 0x0a, 0x20,
-  0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x69, 0x78, 0x65,
-  0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x58, 0x20, 0x3d, 0x20, 0x70, 0x77,
-  0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70,
-  0x69, 0x78, 0x65, 0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x59, 0x20, 0x3d,
-  0x20, 0x70, 0x68, 0x3b, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f,
-  0x6e, 0x67, 0x20, 0x61, 0x20, 0x3d, 0x20, 0x78, 0x6c, 0x20, 0x2b, 0x20,
-  0x70, 0x69, 0x78, 0x65, 0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x58, 0x20,
-  0x2a, 0x20, 0x70, 0x78, 0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x70, 0x69, 0x78,
-  0x65, 0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x58, 0x20, 0x2a, 0x20, 0x70,
-  0x78, 0x20, 0x2b, 0x20, 0x78, 0x6c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c,
-  0x6f, 0x6e, 0x67, 0x20, 0x62, 0x20, 0x3d, 0x20, 0x79, 0x74, 0x20, 0x2b,
-  0x20, 0x70, 0x69, 0x78, 0x65, 0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x59,
-  0x20, 0x2a, 0x20, 0x70, 0x79, 0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x70, 0x69,
-  0x78, 0x65, 0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x59, 0x20, 0x2a, 0x20,
-  0x70, 0x79, 0x20, 0x2b, 0x20, 0x79, 0x74, 0x0a, 0x20, 0x20, 0x20, 0x20,
-  0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x63, 0x61, 0x20, 0x3d, 0x20, 0x61, 0x3b,
-  0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x63, 0x62,
-  0x20, 0x3d, 0x20, 0x62, 0x3b, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x69,
-  0x6e, 0x74, 0x20, 0x6e, 0x20, 0x3d, 0x20, 0x30, 0x3b, 0x0a, 0x20, 0x20,
-  0x20, 0x20, 0x77, 0x68, 0x69, 0x6c, 0x65, 0x20, 0x28, 0x6e, 0x20, 0x3c,
-  0x20, 0x6d, 0x61, 0x78, 0x20, 0x2d, 0x20, 0x31, 0x29, 0x20, 0x7b, 0x0a,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67,
-  0x20, 0x61, 0x61, 0x20, 0x3d, 0x20, 0x6d, 0x75, 0x6c, 0x28, 0x61, 0x2c,
-  0x20, 0x61, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
-  0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x62, 0x62, 0x20, 0x3d, 0x20, 0x6d,
-  0x75, 0x6c, 0x28, 0x62, 0x2c, 0x20, 0x62, 0x29, 0x3b, 0x0a, 0x20, 0x20,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x61,
-  0x62, 0x20, 0x3d, 0x20, 0x6d, 0x75, 0x6c, 0x28, 0x61, 0x2c, 0x20, 0x62,
-  0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x69,
-  0x66, 0x20, 0x28, 0x61, 0x61, 0x20, 0x2b, 0x20, 0x62, 0x62, 0x20, 0x3e,
-  0x20, 0x28, 0x31, 0x36, 0x4c, 0x4c, 0x20, 0x3c, 0x3c, 0x20, 0x33, 0x32,
-  0x29, 0x29, 0x20, 0x62, 0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x61, 0x20, 0x3d, 0x20, 0x61, 0x61,
-  0x20, 0x2d, 0x20, 0x62, 0x62, 0x20, 0x2b, 0x20, 0x63, 0x61, 0x3b, 0x0a,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x62, 0x20, 0x3d, 0x20,
-  0x61, 0x62, 0x20, 0x2b, 0x20, 0x61, 0x62, 0x20, 0x2b, 0x20, 0x63, 0x62,
-  0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x6e, 0x2b,
-  0x2b, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x0a, 0x20, 0x20,
-  0x20, 0x20, 0x2f, 0x2f, 0x20, 0x4e, 0x20, 0x2b, 0x20, 0x31, 0x20, 0x2d,
-  0x20, 0x6c, 0x6f, 0x67, 0x20, 0x28, 0x6c, 0x6f, 0x67, 0x20, 0x20, 0x7c,
-  0x5a, 0x28, 0x4e, 0x29, 0x7c, 0x29, 0x20, 0x2f, 0x20, 0x6c, 0x6f, 0x67,
-  0x20, 0x32, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x69, 0x66, 0x20, 0x28, 0x6e,
-  0x20, 0x3e, 0x3d, 0x20, 0x6d, 0x61, 0x78, 0x20, 0x2d, 0x20, 0x31, 0x29,
-  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x41, 0x5b, 0x69,
-  0x6e, 0x64, 0x65, 0x78, 0x5d, 0x20, 0x3d, 0x20, 0x6d, 0x61, 0x78, 0x3b,
-  0x0a, 0x20, 0x20, 0x20, 0x20, 0x65, 0x6c, 0x73, 0x65, 0x20, 0x7b, 0x0a,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x69, 0x66, 0x20, 0x28,
-  0x73, 0x6d, 0x6f, 0x6f, 0x74, 0x68, 0x20, 0x21, 0x3d, 0x20, 0x30, 0x29,
-  0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
-  0x20, 0x20, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x61, 0x61, 0x70,
-  0x70, 0x72, 0x6f, 0x78, 0x20, 0x3d, 0x20, 0x28, 0x28, 0x66, 0x6c, 0x6f,
-  0x61, 0x74, 0x29, 0x20, 0x61, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x31, 0x2e,
-  0x30, 0x66, 0x20, 0x2f, 0x20, 0x28, 0x31, 0x4c, 0x4c, 0x20, 0x3c, 0x3c,
-  0x20, 0x33, 0x32, 0x29, 0x29, 0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x33, 0x2e,
-  0x35, 0x35, 0x32, 0x37, 0x31, 0x33, 0x37, 0x65, 0x2d, 0x31, 0x35, 0x66,
-  0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
-  0x20, 0x20, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x20, 0x62, 0x61, 0x70, 0x70,
-  0x72, 0x6f, 0x78, 0x20, 0x3d, 0x20, 0x28, 0x28, 0x66, 0x6c, 0x6f, 0x61,
-  0x74, 0x29, 0x20, 0x62, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x31, 0x2e, 0x30,
-  0x66, 0x20, 0x2f, 0x20, 0x28, 0x31, 0x4c, 0x4c, 0x20, 0x3c, 0x3c, 0x20,
-  0x33, 0x32, 0x29, 0x29, 0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x33, 0x2e, 0x35,
-  0x35, 0x32, 0x37, 0x31, 0x33, 0x37, 0x65, 0x2d, 0x31, 0x35, 0x66, 0x3b,
-  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
-  0x20, 0x41, 0x5b, 0x69, 0x6e, 0x64, 0x65, 0x78, 0x5d, 0x20, 0x3d, 0x20,
-  0x28, 0x28, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x29, 0x20, 0x6e, 0x29, 0x20,
-  0x2b, 0x20, 0x31, 0x20, 0x2d, 0x20, 0x6c, 0x6f, 0x67, 0x28, 0x6c, 0x6f,
-  0x67, 0x28, 0x61, 0x61, 0x70, 0x70, 0x72, 0x6f, 0x78, 0x20, 0x2a, 0x20,
-  0x61, 0x61, 0x70, 0x70, 0x72, 0x6f, 0x78, 0x20, 0x2b, 0x20, 0x62, 0x61,
-  0x70, 0x70, 0x72, 0x6f, 0x78, 0x20, 0x2a, 0x20, 0x62, 0x61, 0x70, 0x70,
-  0x72, 0x6f, 0x78, 0x29, 0x20, 0x2f, 0x20, 0x32, 0x29, 0x20, 0x2f, 0x20,
-  0x6c, 0x6f, 0x67, 0x28, 0x32, 0x2e, 0x30, 0x66, 0x29, 0x3b, 0x0a, 0x20,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x20, 0x20, 0x20,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x65, 0x6c, 0x73, 0x65, 0x0a, 0x20, 0x20,
-  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x41, 0x5b,
-  0x69, 0x6e, 0x64, 0x65, 0x78, 0x5d, 0x20, 0x3d, 0x20, 0x28, 0x28, 0x66,
-  0x6c, 0x6f, 0x61, 0x74, 0x29, 0x6e, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20,
-  0x20, 0x7d, 0x0a, 0x7d, 0x0a
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x75, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x78,
+  0x2c, 0x20, 0x75, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x79, 0x2c, 0x20, 0x75,
+  0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x77, 0x2c, 0x20, 0x75, 0x6c, 0x6f,
+  0x6e, 0x67, 0x20, 0x70, 0x68, 0x2c, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x6d,
+  0x61, 0x78, 0x2c, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x73, 0x6d, 0x6f, 0x6f,
+  0x74, 0x68, 0x29, 0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x69, 0x6e,
+  0x74, 0x20, 0x69, 0x6e, 0x64, 0x65, 0x78, 0x20, 0x3d, 0x20, 0x67, 0x65,
+  0x74, 0x5f, 0x67, 0x6c, 0x6f, 0x62, 0x61, 0x6c, 0x5f, 0x69, 0x64, 0x28,
+  0x30, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67,
+  0x20, 0x70, 0x78, 0x20, 0x3d, 0x20, 0x28, 0x69, 0x6e, 0x64, 0x65, 0x78,
+  0x20, 0x25, 0x20, 0x77, 0x69, 0x64, 0x74, 0x68, 0x29, 0x20, 0x3b, 0x0a,
+  0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x79, 0x20,
+  0x3d, 0x20, 0x28, 0x69, 0x6e, 0x64, 0x65, 0x78, 0x20, 0x2f, 0x20, 0x77,
+  0x69, 0x64, 0x74, 0x68, 0x29, 0x20, 0x3b, 0x0a, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x78, 0x6c, 0x20, 0x3d, 0x20, 0x78,
+  0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x79,
+  0x74, 0x20, 0x3d, 0x20, 0x79, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c,
+  0x6f, 0x6e, 0x67, 0x20, 0x70, 0x69, 0x78, 0x65, 0x6c, 0x53, 0x63, 0x61,
+  0x6c, 0x65, 0x58, 0x20, 0x3d, 0x20, 0x70, 0x77, 0x3b, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x70, 0x69, 0x78, 0x65, 0x6c,
+  0x53, 0x63, 0x61, 0x6c, 0x65, 0x59, 0x20, 0x3d, 0x20, 0x70, 0x68, 0x3b,
+  0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x61,
+  0x20, 0x3d, 0x20, 0x78, 0x6c, 0x20, 0x2b, 0x20, 0x70, 0x69, 0x78, 0x65,
+  0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x58, 0x20, 0x2a, 0x20, 0x70, 0x78,
+  0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x70, 0x69, 0x78, 0x65, 0x6c, 0x53, 0x63,
+  0x61, 0x6c, 0x65, 0x58, 0x20, 0x2a, 0x20, 0x70, 0x78, 0x20, 0x2b, 0x20,
+  0x78, 0x6c, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20,
+  0x62, 0x20, 0x3d, 0x20, 0x79, 0x74, 0x20, 0x2b, 0x20, 0x70, 0x69, 0x78,
+  0x65, 0x6c, 0x53, 0x63, 0x61, 0x6c, 0x65, 0x59, 0x20, 0x2a, 0x20, 0x70,
+  0x79, 0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x70, 0x69, 0x78, 0x65, 0x6c, 0x53,
+  0x63, 0x61, 0x6c, 0x65, 0x59, 0x20, 0x2a, 0x20, 0x70, 0x79, 0x20, 0x2b,
+  0x20, 0x79, 0x74, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67,
+  0x20, 0x63, 0x61, 0x20, 0x3d, 0x20, 0x61, 0x3b, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x63, 0x62, 0x20, 0x3d, 0x20, 0x62,
+  0x3b, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x69, 0x6e, 0x74, 0x20, 0x6e,
+  0x20, 0x3d, 0x20, 0x30, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x77, 0x68,
+  0x69, 0x6c, 0x65, 0x20, 0x28, 0x6e, 0x20, 0x3c, 0x20, 0x6d, 0x61, 0x78,
+  0x20, 0x2d, 0x20, 0x31, 0x29, 0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x61, 0x61, 0x20,
+  0x3d, 0x20, 0x6d, 0x75, 0x6c, 0x28, 0x61, 0x2c, 0x20, 0x61, 0x29, 0x3b,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x6e,
+  0x67, 0x20, 0x62, 0x62, 0x20, 0x3d, 0x20, 0x6d, 0x75, 0x6c, 0x28, 0x62,
+  0x2c, 0x20, 0x62, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x6c, 0x6f, 0x6e, 0x67, 0x20, 0x61, 0x62, 0x20, 0x3d, 0x20,
+  0x6d, 0x75, 0x6c, 0x28, 0x61, 0x2c, 0x20, 0x62, 0x29, 0x3b, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x69, 0x66, 0x20, 0x28, 0x61,
+  0x61, 0x20, 0x2b, 0x20, 0x62, 0x62, 0x20, 0x3e, 0x20, 0x28, 0x31, 0x36,
+  0x4c, 0x4c, 0x20, 0x3c, 0x3c, 0x20, 0x34, 0x38, 0x29, 0x29, 0x20, 0x62,
+  0x72, 0x65, 0x61, 0x6b, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x61, 0x20, 0x3d, 0x20, 0x61, 0x61, 0x20, 0x2d, 0x20, 0x62,
+  0x62, 0x20, 0x2b, 0x20, 0x63, 0x61, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x62, 0x20, 0x3d, 0x20, 0x61, 0x62, 0x20, 0x2b,
+  0x20, 0x61, 0x62, 0x20, 0x2b, 0x20, 0x63, 0x62, 0x3b, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x6e, 0x2b, 0x2b, 0x3b, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x7d, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x2f, 0x2f,
+  0x20, 0x4e, 0x20, 0x2b, 0x20, 0x31, 0x20, 0x2d, 0x20, 0x6c, 0x6f, 0x67,
+  0x20, 0x28, 0x6c, 0x6f, 0x67, 0x20, 0x20, 0x7c, 0x5a, 0x28, 0x4e, 0x29,
+  0x7c, 0x29, 0x20, 0x2f, 0x20, 0x6c, 0x6f, 0x67, 0x20, 0x32, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x69, 0x66, 0x20, 0x28, 0x6e, 0x20, 0x3e, 0x3d, 0x20,
+  0x6d, 0x61, 0x78, 0x20, 0x2d, 0x20, 0x31, 0x29, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x41, 0x5b, 0x69, 0x6e, 0x64, 0x65, 0x78,
+  0x5d, 0x20, 0x3d, 0x20, 0x6d, 0x61, 0x78, 0x3b, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x65, 0x6c, 0x73, 0x65, 0x20, 0x7b, 0x0a, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x69, 0x66, 0x20, 0x28, 0x73, 0x6d, 0x6f, 0x6f,
+  0x74, 0x68, 0x20, 0x21, 0x3d, 0x20, 0x30, 0x29, 0x20, 0x7b, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x66,
+  0x6c, 0x6f, 0x61, 0x74, 0x20, 0x61, 0x61, 0x70, 0x70, 0x72, 0x6f, 0x78,
+  0x20, 0x3d, 0x20, 0x28, 0x28, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x29, 0x20,
+  0x61, 0x29, 0x20, 0x2a, 0x20, 0x28, 0x31, 0x2e, 0x30, 0x66, 0x20, 0x2f,
+  0x20, 0x28, 0x31, 0x4c, 0x4c, 0x20, 0x3c, 0x3c, 0x20, 0x34, 0x38, 0x29,
+  0x29, 0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x33, 0x2e, 0x35, 0x35, 0x32, 0x37,
+  0x31, 0x33, 0x37, 0x65, 0x2d, 0x31, 0x35, 0x66, 0x3b, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x66, 0x6c,
+  0x6f, 0x61, 0x74, 0x20, 0x62, 0x61, 0x70, 0x70, 0x72, 0x6f, 0x78, 0x20,
+  0x3d, 0x20, 0x28, 0x28, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x29, 0x20, 0x62,
+  0x29, 0x20, 0x2a, 0x20, 0x28, 0x31, 0x2e, 0x30, 0x66, 0x20, 0x2f, 0x20,
+  0x28, 0x31, 0x4c, 0x4c, 0x20, 0x3c, 0x3c, 0x20, 0x34, 0x38, 0x29, 0x29,
+  0x3b, 0x20, 0x2f, 0x2f, 0x20, 0x33, 0x2e, 0x35, 0x35, 0x32, 0x37, 0x31,
+  0x33, 0x37, 0x65, 0x2d, 0x31, 0x35, 0x66, 0x3b, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x41, 0x5b, 0x69,
+  0x6e, 0x64, 0x65, 0x78, 0x5d, 0x20, 0x3d, 0x20, 0x28, 0x28, 0x66, 0x6c,
+  0x6f, 0x61, 0x74, 0x29, 0x20, 0x6e, 0x29, 0x20, 0x2b, 0x20, 0x31, 0x20,
+  0x2d, 0x20, 0x6c, 0x6f, 0x67, 0x28, 0x6c, 0x6f, 0x67, 0x28, 0x61, 0x61,
+  0x70, 0x70, 0x72, 0x6f, 0x78, 0x20, 0x2a, 0x20, 0x61, 0x61, 0x70, 0x70,
+  0x72, 0x6f, 0x78, 0x20, 0x2b, 0x20, 0x62, 0x61, 0x70, 0x70, 0x72, 0x6f,
+  0x78, 0x20, 0x2a, 0x20, 0x62, 0x61, 0x70, 0x70, 0x72, 0x6f, 0x78, 0x29,
+  0x20, 0x2f, 0x20, 0x32, 0x29, 0x20, 0x2f, 0x20, 0x6c, 0x6f, 0x67, 0x28,
+  0x32, 0x2e, 0x30, 0x66, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x7d, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x65, 0x6c, 0x73, 0x65, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x41, 0x5b, 0x69, 0x6e, 0x64, 0x65,
+  0x78, 0x5d, 0x20, 0x3d, 0x20, 0x28, 0x28, 0x66, 0x6c, 0x6f, 0x61, 0x74,
+  0x29, 0x6e, 0x29, 0x3b, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x7d, 0x0a, 0x7d,
+  0x0a
 };
-unsigned int fixed64_cl_len = 1337;
+unsigned int fixed64_cl_len = 1333;