wip

silly.js

@@ -4,18 +4,15 @@
 let logBits = 8;
 let logEntries = 2 ** logBits;
 
-let powBits = 19;
+let powBits = 16;
 let powEntries = 2 ** powBits;
 
-// Room to hold powers up to 4
-let shift = 3;
+// Room to hold exponents up to 15.9 for 16-bit output
+let shift = 4;
 let base = 2 ** (powBits - shift);
 
-// 16-bit lookup table
-let reduction = 7;
-
-// 12-bit lookup table
-//let reduction = 4;
+// total of 12-bit lookup table
+let reduction = 0;
 
 let powCount = powEntries >> reduction;
 
@@ -32,6 +29,9 @@ function toFloat(fixed) {
 let enloggen = new Uint32Array(logEntries);
 for (let i = 0; i < logEntries; i++) {
     enloggen[i] = toFixed(Math.log2(i));
+    if (enloggen[i] > 65535) {
+        throw new Error('enloggen entry out of range')
+    }
 }
 
 // 64k entries
@@ -40,8 +40,10 @@ for (let i = 0; i < logEntries; i++) {
 // or splitting into high & low vals
 let empower = new Uint16Array(powCount);
 for (let i = 0; i < powCount; i++) {
-    let fixed = i << reduction;
-    empower[i] = Math.round(2 ** toFloat(fixed));
+    empower[i] = Math.round(2 ** toFloat(i << reduction));
+    if (empower[i] > 65535) {
+        throw new Error('empower entry out of range')
+    }
 }
 
 
@@ -52,27 +54,44 @@ function log2(val) {
 
 // returns rounded integer
 function pow2(fixed) {
-    n = (fixed >> reduction);
+    let n = fixed >> reduction;
+    if (empower[n] == undefined) {
+        console.log(`float ${toFloat(fixed)} fixed ${fixed} n ${n} max ${empower.length}`);
+        
+        //throw new Error('whoops');
+    }
     return empower[n];
 }
 
 function mul(a, b) {
     if (a == 0) return 0;
     if (b == 0) return 0;
-    let la = log2(a);
-    let lb = log2(b);
+    let la = log2(a)|0;
+    let lb = log2(b)|0;
+    let sum = la + lb;
+    if (sum >= (2 ** powBits)) {
+        // overflow
+        throw new Error('overflow on mul');
+    }
     return pow2(la + lb);
 }
 
 for (let i = 0; i < logEntries; i++) {
     let l = log2(i);
     let p = pow2(l);
-    //console.log(`${i} ${l} ${p}`)
+    console.log(`${i} ${l} ${p}`)
     if (i !== p) {
-        //console.log(`mismatch ${i} expected, got ${p} via log value ${l} (${toFloat(l)})`);
+        console.log(`mismatch ${i} expected, got ${p} via log value ${l} (${toFloat(l)})`);
     }
 }
-//process.exit(1);
+
+console.log('empower');
+for (let i = 0; i < powEntries; i++) {
+    let fixed = i << reduction;
+    let float = toFloat(fixed);
+    let val = pow2(fixed);
+    console.log(`${i} ${fixed} ${float} ${val}`)
+}
 
 
 // now just try multipling numbers
@@ -96,17 +115,18 @@ for (let i = 0; i < 65536; i++) {
     let b = (i >> 8) & 0xff;
     let expected = a * b;
     let result = mul(a, b);
+    console.log(`a ${a} b ${b} expected ${expected} result ${result} loga ${log2(a)} logb ${log2(b)} pow ${pow2(log2(a)+log2(b))}`);
 
     let delta = Math.abs(result - expected);
     let epsilon = 1;
 
-    if (delta >= epsilon) {
+    if (delta >= epsilon || result === undefined) {
         let percent = 100 * (delta / expected);
-        //console.log(`${a} * ${b} = ${expected}, but got ${result} delta ${delta} ${Math.round(percent * 100) / 100}%`);
+        console.log(`${a} * ${b} = ${expected}, but got ${result} delta ${delta} ${Math.round(percent * 100) / 100}%`);
         deltas += delta;
         deltaCount++;
     } else {
-        //console.log(`${a} * ${b} = ${result}`);
+        console.log(`${a} * ${b} = ${result}`);
     }
     count++;
 }