ilog
The "ilog(x)" function returns the position number (1 through n) of the highest set bit in the two's complement integer value
[x]. Values of [x] less than zero are defined to return zero.
1) [return_value] = 0; 2) if ( [x] is greater than zero ){ 3) increment [return_value]; 4) logical shift [x] one bit to the right, padding the MSb with zero 5) repeat at step 2) } 6) doneExamples:
1) [mantissa] = [x] bitwise AND 0x1fffff (unsigned result) 2) [sign] = [x] bitwise AND 0x80000000 (unsigned result) 3) [exponent] = ( [x] bitwise AND 0x7fe00000) shifted right 21 bits (unsigned result) 4) if ( [sign] is nonzero ) then negate [mantissa] 5) return [mantissa] * ( 2 ^ ( [exponent] - 788 ) )
The return value for this function is defined to be 'the greatest
integer value for which [return_value] to the power of
[codebook_dimensions] is less than or equal to
[codebook_entries]'.
low_neighbor
"low_neighbor(v,x)" finds the position n in vector [v] of
the greatest value scalar element for which n is less than
[x] and vector [v] element n is less
than vector [v] element [x].
high_neighbor
"high_neighbor(v,x)" finds the position n in vector [v] of
the lowest value scalar element for which n is less than
[x] and vector [v] element n is greater
than vector [v] element [x].
render_point
"render_point(x0,y0,x1,y1,X)" is used to find the Y value at point X
along the line specified by x0, x1, y0 and y1. This function uses an
integer algorithm to solve for the point directly without calculating
intervening values along the line.
1) [dy] = [y1] - [y0] 2) [adx] = [x1] - [x0] 3) [ady] = absolute value of [dy] 4) [err] = [ady] * ([X] - [x0]) 5) [off] = [err] / [adx] using integer division 6) if ( [dy] is less than zero ) { 7) [Y] = [y0] - [off] } else { 8) [Y] = [y0] + [off] } 9) done
1) [dy] = [y1] - [y0] 2) [adx] = [x1] - [x0] 3) [ady] = absolute value of [dy] 4) [base] = [dy] / [adx] using integer division 5) [x] = [x0] 6) [y] = [y0] 7) [err] = 0 8) if ( [dy] is less than 0 ) { 9) [sy] = [base] - 1 } else { 10) [sy] = [base] + 1 } 11) [ady] = [ady] - (absolute value of [base]) * [adx] 12) vector [v] element [x] = [y] 13) iterate [x] over the range [x0]+1 ... [x1]-1 { 14) [err] = [err] + [ady]; 15) if ( [err] >= [adx] ) { 15) [err] = [err] - [adx] 16) [y] = [y] + [sy] } else { 17) [y] = [y] + [base] } 18) vector [v] element [x] = [y] }
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