Only use 17 digits for numeric literals: extras don't affect the result but the powers of 10 can hurt precision

2 files changed, 9 insertions, 8 deletions

diff --git a/docs/bqn.js b/docs/bqn.js
index aec0f6fc..751a1cc6 100644
--- a/docs/bqn.js
+++ b/docs/bqn.js
@@ -177,9 +177,9 @@ let runtime = run(
 // Compiler
 runtime[42] = assertFn("Compiler");
 let compile = run(
-  new 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,0,31,21,0,21,17,17,22,0,80,11,14,21,0,78,21,0,53,21,0,80,3,3,25,0,76,22,0,3,11,14,21,0,1,0,6,0,59,17,0,44,0,4,7,21,0,3,17,0,5,16,22,0,4,11,0,0,0,59,17,22,0,5,11,0,27,16,0,47,0,0,7,16,22,0,6,11,14,21,0,6,0,29,21,0,5,17,0,1,0,50,0,13,0,48,0,25,8,8,16,0,30,16,0,30,16,22,0,7,11,14,21,0,1,15,14,21,0,4,17,0,31,21,0,7,17,22,0,8,11,14,21,0,8,21,0,6,3,2,25,21,0,1,21,1,27,16,22,0,3,22,0,4,22,0,5,22,0,6,4,4,11,14,21,0,3,21,1,32,21,0,4,21,0,5,3,2,17,22,0,7,22,0,8,22,0,9,4,3,11,14,21,0,7,21,0,6,0,21,21,0,2,0,31,21,0,8,17,17,21,0,9,3,3,25,21,0,1,0,31,0,50,21,0,2,0,29,21,0,1,17,8,0,52,0,42,0,59,7,8,16,21,1,11,21,0,2,0,40,0,31,7,16,17,25,21,0,1,0,26,16,0,0,21,0,2,17,0,47,0,6,7,16,0,6,21,0,1,17,25,0,34,0,14,0,18,0,48,0,13,8,19,0,40,0,29,7,0,19,19,0,0,21,0,2,19,0,40,0,31,7,21,2,2,19,0,21,0,96,19,0,21,21,0,1,19,0,21,0,110,19,25,21,0,2,0,2,16,22,0,3,11,14,21,0,1,21,0,3,0,45,0,10,7,16,0,54,0,29,0,50,21,0,3,8,0,49,21,1,3,0,51,0,3,8,0,5,9,0,51,21,0,0,8,8,0,21,0,7,0,0,21,0,3,0,51,0,2,8,19,0,50,21,1,3,8,19,8,0,59,0,1,21,0,2,17,17,25])
+ ,[runtime[0],runtime[1],runtime[2],runtime[3],runtime[4],runtime[6],runtime[7],runtime[8],runtime[9],runtime[10],runtime[11],runtime[12],runtime[13],runtime[14],runtime[15],runtime[16],runtime[17],runtime[19],runtime[20],runtime[21],runtime[22],runtime[23],runtime[24],runtime[25],runtime[26],runtime[27],runtime[28],runtime[29],runtime[30],runtime[32],runtime[33],runtime[35],runtime[36],runtime[37],runtime[38],runtime[39],runtime[40],runtime[41],runtime[42],runtime[43],runtime[44],runtime[45],runtime[46],runtime[47],runtime[48],runtime[49],runtime[50],runtime[51],runtime[52],runtime[53],runtime[54],runtime[55],runtime[56],runtime[58],runtime[61],10,-1,26,9,1,0,2,3,5,4,17,3.14159265358979,Infinity,6,21,15,14,11,16,7,25,128,'
+ ,[[0,1,0,35],[0,0,462,3],[1,1,501,4],[0,0,594,37],[0,0,1962,3],[0,0,2009,20],[0,0,2770,6],[0,0,2883,3],[0,0,2913,81],[0,0,5914,9],[0,0,6030,10],[0,0,6105,3],[0,0,6145,3],[2,1,6170,3],[0,0,6222,4]]
 );
 runtime[42] = assertFn("!");
 runtime.map((r,i) => {
diff --git a/src/c.bqn b/src/c.bqn
index f600b7bc..12e0a568 100644
--- a/src/c.bqn
+++ b/src/c.bqn
@@ -80,16 +80,17 @@ ErrNumericChars←{
 ReadNums←{
   e‿p‿i‿n‿d←=⟜𝕩¨((⊑bA)+-´"ea")∾+⟜↕´bN       # Masks for eπ∞¯.
   ErrNumericChars∘(/⟜𝕩)⍟(∨´) ¬e∨𝕩<⊑bA
-  m←¬n∨s←d∨c←e∨z←0=𝕩
+  s←d∨c←e∨z←0=𝕩⋄m←¬n∨c
   "Negative sign in the middle of a number" ! ∧´n≤»c
-  "Portion of a number is empty" ! ¬∨´(»¬m)∧s
+  "Portion of a number is empty" ! ¬∨´s∧»n∨s
   "Ill-formed decimal or exponent use" ! ∧´(0⊸=∨»⊸<)s/𝕩
   "π and ∞ must occur alone" ! ∧´(p∨i)≤1(»∧(p∧«e)∨«)z∨n
-  l←(¯1∾π‿1∾˜↕10)⊏˜(¬d)/m×𝕩-1-˜⊑bD          # Digit lookup, with ∞ as 1 to avoid ∞×0
+  f←(17≥¬(⊢-T)+`)⊸∧(«≤(d<𝕩≠⊑bD)>○I1T¬)⊸∧m   # No leading 0s; max 17 digits
+  l←(¯1∾π‿1∾˜↕10)⊏˜(¬d)/f×𝕩-1-˜⊑bD          # Digit lookup, with ∞ as 1 to avoid ∞×0
   v←(>⟜«0≤l)/(0⊸≤××⟜10⊸+)`»«l               # Numeric values—mantissas and exponents
-  v×↩1‿¯1⊏˜(r←>⟜»d∨m)/»n                    # Negate if ¯
+  v×↩1‿¯1⊏˜(r←>⟜»m)/»n                      # Negate if ¯
   vm←c/z                                    # Mask of mantissas in l
-  dp←vm/(»⊸<×-)⟜(⊏⟜(I1T d∾0))(≠«/)c         # Decimal position
+  dp←vm/(»⊸<×-)⟜(⊏⟜(I1T d∾0))1+/>⟜«f        # Decimal position
   t←10⋆|ee←dp-˜vm/«v׬vm                    # Power of 10
   t÷˜⌾((0>ee)⊸/)t×⌾((0<ee)⊸/)vm/v×(r/i)⊏1‿∞ # Correct ∞ then ×10⋆ee
 }