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Top Forums UNIX for Beginners Questions & Answers awk division without rounding Post 303046061 by RudiC on Wednesday 22nd of April 2020 03:46:27 PM
Old 04-22-2020
Decimal numbers represented by a binary system are ALWAYS rounded / subject to rounding. For example, your first number, given as 0.123456789012, is internally approximated / stored as 0.123456789011999995553381381796, which itself is a rounded value already. You may end up less than or greater than your target value, or, in rare cases, exactly on target (0.5, or 0.25, for example).

So, your request is a bit diffucult to fulfill. You can try awk's OFMT variable set to a fixed output field length, but, surprise, additional undesired decimal places occur:
Code:
awk '{val = $1 / 100; print val}' OFMT="%.20f" file
0.00123456789012000006
0.00123456789012344999
0.00123456789012345671


If that is unsatisfying, you can resort to formatted print and a tricky taylored field length computation:

Code:
awk '{val = $1 / 100; printf "%.*f\n", length($1), val}' file
0.00123456789012
0.00123456789012345
0.0012345678901234567

This works as there are two additional places needed for the division by 100, but length ($1) already counts two characters: the leading 0 and dot. If you have more significant leading digits, additional measures / steps need to be taken.
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pods::SDL::GFX::ImageFilter(3pm)			User Contributed Perl Documentation			  pods::SDL::GFX::ImageFilter(3pm)

NAME
SDL::GFX::ImageFilter - image filtering functions CATEGORY
TODO, GFX METHODS
MMX_detect int gfx_image_MMX_detect() CODE: SDL_imageFilterMMXdetect(); MMX_off void gfx_image_MMX_off() CODE: SDL_imageFilterMMXoff(); MMX_on void gfx_image_MMX_on() CODE: SDL_imageFilterMMXon(); add int gfx_image_add(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterAdd(Src1, Src2, Dest, length); OUTPUT: RETVAL mean int gfx_image_mean(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterMean(Src1, Src2, Dest, length); OUTPUT: RETVAL sub int gfx_image_sub(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterSub(Src1, Src2, Dest, length); OUTPUT: RETVAL abs_diff int gfx_image_abs_diff(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterAbsDiff(Src1, Src2, Dest, length); OUTPUT: RETVAL mult int gfx_image_mult(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterMult(Src1, Src2, Dest, length); OUTPUT: RETVAL mult_nor int gfx_image_mult_nor(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterMultNor(Src1, Src2, Dest, length); OUTPUT: RETVAL mult_div_by_2 int gfx_image_mult_div_by_2(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterMultDivby2(Src1, Src2, Dest, length); OUTPUT: RETVAL mult_div_by_4 int gfx_image_mult_div_by_4(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterMultDivby4(Src1, Src2, Dest, length); OUTPUT: RETVAL bit_and int gfx_image_bit_and(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterBitAnd(Src1, Src2, Dest, length); OUTPUT: RETVAL bit_or int gfx_image_bit_or(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterBitOr(Src1, Src2, Dest, length); OUTPUT: RETVAL div int gfx_image_div(Src1, Src2, Dest, length) unsigned char *Src1 unsigned char *Src2 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterDiv(Src1, Src2, Dest, length); OUTPUT: RETVAL bit_negation int gfx_image_bit_negation(Src1, Dest, length) unsigned char *Src1 unsigned char *Dest int length CODE: RETVAL = SDL_imageFilterBitNegation(Src1, Dest, length); OUTPUT: RETVAL add_byte int gfx_image_add_byte(Src1, Dest, length, C) unsigned char *Src1 unsigned char *Dest int length unsigned char C CODE: RETVAL = SDL_imageFilterAddByte(Src1, Dest, length, C); OUTPUT: RETVAL add_uint int gfx_image_add_uint(Src1, Dest, length, C) unsigned char *Src1 unsigned char *Dest int length unsigned int C CODE: RETVAL = SDL_imageFilterAddUint(Src1, Dest, length, C); OUTPUT: RETVAL add_byte_to_half int gfx_image_add_byte_to_half(Src1, Dest, length, C) unsigned char *Src1 unsigned char *Dest int length unsigned char C CODE: RETVAL = SDL_imageFilterAddByteToHalf(Src1, Dest, length, C); OUTPUT: RETVAL sub_byte int gfx_image_sub_byte(Src1, Dest, length, C) unsigned char *Src1 unsigned char *Dest int length unsigned char C CODE: RETVAL = SDL_imageFilterSubByte(Src1, Dest, length, C); OUTPUT: RETVAL sub_uint int gfx_image_sub_uint(Src1, Dest, length, C) unsigned char *Src1 unsigned char *Dest int length unsigned int C CODE: RETVAL = SDL_imageFilterSubUint(Src1, Dest, length, C); OUTPUT: RETVAL shift_right int gfx_image_shift_right(Src1, Dest, length, N) unsigned char *Src1 unsigned char *Dest int length unsigned char N CODE: RETVAL = SDL_imageFilterShiftRight(Src1, Dest, length, N); OUTPUT: RETVAL shift_right_uint int gfx_image_shift_right_uint(Src1, Dest, length, N) unsigned char *Src1 unsigned char *Dest int length unsigned char N CODE: RETVAL = SDL_imageFilterShiftRightUint(Src1, Dest, length, N); OUTPUT: RETVAL mult_by_byte int gfx_image_mult_by_byte(Src1, Dest, length, C) unsigned char *Src1 unsigned char *Dest int length unsigned char C CODE: RETVAL = SDL_imageFilterMultByByte(Src1, Dest, length, C); OUTPUT: RETVAL shift_right_and_mult_by_byte int gfx_image_shift_right_and_mult_by_byte(Src1, Dest, length, N, C) unsigned char *Src1 unsigned char *Dest int length unsigned char N unsigned char C CODE: RETVAL = SDL_imageFilterShiftRightAndMultByByte(Src1, Dest, length, N, C); OUTPUT: RETVAL shift_left_byte int gfx_image_shift_left_byte(Src1, Dest, length, N) unsigned char *Src1 unsigned char *Dest int length unsigned char N CODE: RETVAL = SDL_imageFilterShiftLeftByte(Src1, Dest, length, N); OUTPUT: RETVAL shift_left_uint int gfx_image_shift_left_uint(Src1, Dest, length, N) unsigned char *Src1 unsigned char *Dest int length unsigned char N CODE: RETVAL = SDL_imageFilterShiftLeftUint(Src1, Dest, length, N); OUTPUT: RETVAL shift_left int gfx_image_shift_left(Src1, Dest, length, N) unsigned char *Src1 unsigned char *Dest int length unsigned char N CODE: RETVAL = SDL_imageFilterShiftLeft(Src1, Dest, length, N); OUTPUT: RETVAL binarize_using_threshold int gfx_image_binarize_using_threshold(Src1, Dest, length, T) unsigned char *Src1 unsigned char *Dest int length unsigned char T CODE: RETVAL = SDL_imageFilterBinarizeUsingThreshold(Src1, Dest, length, T); OUTPUT: RETVAL clip_to_range int gfx_image_clip_to_range(Src1, Dest, length, Tmin, Tmax) unsigned char *Src1 unsigned char *Dest int length unsigned char Tmin unsigned char Tmax CODE: RETVAL = SDL_imageFilterClipToRange(Src1, Dest, length, Tmin, Tmax); OUTPUT: RETVAL normalize_linear int gfx_image_normalize_linear(Src1, Dest, length, Cmin, Cmax, Nmin, Nmax) unsigned char *Src1 unsigned char *Dest int length int Cmin int Cmax int Nmin int Nmax CODE: RETVAL = SDL_imageFilterNormalizeLinear(Src1, Dest, length, Cmin, Cmax, Nmin, Nmax); OUTPUT: RETVAL convolve_kernel_3x3_divide int gfx_image_convolve_kernel_3x3_divide(Src, Dest, rows, columns, Kernel, Divisor) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char Divisor CODE: RETVAL = SDL_imageFilterConvolveKernel3x3Divide(Src, Dest, rows, columns, Kernel, Divisor); OUTPUT: RETVAL convolve_kernel_5x5_divide int gfx_image_convolve_kernel_5x5_divide(Src, Dest, rows, columns, Kernel, Divisor) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char Divisor CODE: RETVAL = SDL_imageFilterConvolveKernel5x5Divide(Src, Dest, rows, columns, Kernel, Divisor); OUTPUT: RETVAL convolve_kernel_7x7_divide int gfx_image_convolve_kernel_7x7_divide(Src, Dest, rows, columns, Kernel, Divisor) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char Divisor CODE: RETVAL = SDL_imageFilterConvolveKernel7x7Divide(Src, Dest, rows, columns, Kernel, Divisor); OUTPUT: RETVAL convolve_kernel_9x9_divide int gfx_image_convolve_kernel_9x9_divide(Src, Dest, rows, columns, Kernel, Divisor) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char Divisor CODE: RETVAL = SDL_imageFilterConvolveKernel9x9Divide(Src, Dest, rows, columns, Kernel, Divisor); OUTPUT: RETVAL convolve_kernel_3x3_shift_right int gfx_image_convolve_kernel_3x3_shift_right(Src, Dest, rows, columns, Kernel, NRightShift) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char NRightShift CODE: RETVAL = SDL_imageFilterConvolveKernel3x3ShiftRight(Src, Dest, rows, columns, Kernel, NRightShift); OUTPUT: RETVAL convolve_kernel_5x5_shift_right int gfx_image_convolve_kernel_5x5_shift_right(Src, Dest, rows, columns, Kernel, NRightShift) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char NRightShift CODE: RETVAL = SDL_imageFilterConvolveKernel5x5ShiftRight(Src, Dest, rows, columns, Kernel, NRightShift); OUTPUT: RETVAL convolve_kernel_7x7_shift_right int gfx_image_convolve_kernel_7x7_shift_right(Src, Dest, rows, columns, Kernel, NRightShift) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char NRightShift CODE: RETVAL = SDL_imageFilterConvolveKernel7x7ShiftRight(Src, Dest, rows, columns, Kernel, NRightShift); OUTPUT: RETVAL convolve_kernel_9x9_shift_right int gfx_image_convolve_kernel_9x9_shift_right(Src, Dest, rows, columns, Kernel, NRightShift) unsigned char *Src unsigned char *Dest int rows int columns Sint16 *Kernel unsigned char NRightShift CODE: RETVAL = SDL_imageFilterConvolveKernel9x9ShiftRight(Src, Dest, rows, columns, Kernel, NRightShift); OUTPUT: RETVAL sobel_x int gfx_image_sobel_x(Src, Dest, rows, columns) unsigned char *Src unsigned char *Dest int rows int columns CODE: RETVAL = SDL_imageFilterSobelX(Src, Dest, rows, columns); OUTPUT: RETVAL sobel_x_shift_right int gfx_image_sobel_x_shift_right(Src, Dest, rows, columns, NRightShift) unsigned char *Src unsigned char *Dest int rows int columns unsigned char NRightShift CODE: RETVAL = SDL_imageFilterSobelXShiftRight(Src, Dest, rows, columns, NRightShift); OUTPUT: RETVAL align_stack void gfx_image_align_stack() CODE: SDL_imageFilterAlignStack(); restore_stack void gfx_image_restore_stack() CODE: SDL_imageFilterRestoreStack(); AUTHORS
See "AUTHORS" in SDL. perl v5.14.2 2012-05-28 pods::SDL::GFX::ImageFilter(3pm)
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