# quick-n-dirty way to print out floats ######## In hex, following C's %a format # https://www.exploringbinary.com/hexadecimal-floating-point-constants # examples: # 0.5 = 0x3f000000 = 0011| 1111 | 0000 | 0000 | 0000 | 0000 | 0000 | 0000 # = 0 | 01111110 | 00000000000000000000000 # + exponent mantissa # = 0 | 00000000000000000000000 | 01111110 # mantissa exponent # = 0 | 000000000000000000000000 | 01111110 # zero-pad mantissa exponent # = +1.000000 P -01 fn test-print-float-normal { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var half/xmm0: float <- rational 1, 2 print-float screen, half check-screen-row screen, 1, "1.000000P-01 ", "F - test-print-float-normal" } fn test-print-float-normal-2 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var quarter/xmm0: float <- rational 1, 4 print-float screen, quarter check-screen-row screen, 1, "1.000000P-02 ", "F - test-print-float-normal-2" } fn test-print-float-normal-3 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var three-quarters/xmm0: float <- rational 3, 4 print-float screen, three-quarters check-screen-row screen, 1, "1.800000P-01 ", "F - test-print-float-normal-3" } fn test-print-float-normal-4 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var tenth/xmm0: float <- rational 1, 0xa print-float screen, tenth check-screen-row screen, 1, "1.99999aP-04 ", "F - test-print-float-normal-4" } fn test-print-float-integer { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var one-f/xmm0: float <- rational 1, 1 print-float screen, one-f check-screen-row screen, 1, "1.000000P00 ", "F - test-print-float-integer" } fn test-print-float-zero { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var zero: float print-float screen, zero check-screen-row screen, 1, "0 ", "F - test-print-float-zero" } fn test-print-float-negative-zero { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int copy-to n, 0x80000000 var negative-zero/xmm0: float <- reinterpret n print-float screen, negative-zero check-screen-row screen, 1, "-0 ", "F - test-print-float-negative-zero" } fn test-print-float-infinity { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int # 0|11111111|00000000000000000000000 # 0111|1111|1000|0000|0000|0000|0000|0000 copy-to n, 0x7f800000 var infinity/xmm0: float <- reinterpret n print-float screen, infinity check-screen-row screen, 1, "Inf ", "F - test-print-float-infinity" } fn test-print-float-negative-infinity { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int copy-to n, 0xff800000 var negative-infinity/xmm0: float <- reinterpret n print-float screen, negative-infinity check-screen-row screen, 1, "-Inf ", "F - test-print-float-negative-infinity" } fn test-print-float-not-a-number { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int copy-to n, 0xffffffff # exponent must be all 1's, and mantissa must be non-zero var negative-infinity/xmm0: float <- reinterpret n print-float screen, negative-infinity check-screen-row screen, 1, "NaN ", "F - test-print-float-not-a-number" } fn print-float screen: (addr screen), n: float { # - special names var bits/eax: int <- reinterpret n compare bits, 0 { break-if-!= print-string screen, "0" return } compare bits, 0x80000000 { break-if-!= print-string screen, "-0" return } compare bits, 0x7f800000 { break-if-!= print-string screen, "Inf" return } compare bits, 0xff800000 { break-if-!= print-string screen, "-Inf" return } var exponent/ecx: int <- copy bits exponent <- shift-right 0x17 # 23 bits of mantissa exponent <- and 0xff exponent <- subtract 0x7f compare exponent, 0x80 { break-if-!= print-string screen, "NaN" return } # - regular numbers var sign/edx: int <- copy bits sign <- shift-right 0x1f { compare sign, 1 break-if-!= print-string screen, "-" } $print-float:leading-digit: { # check for subnormal numbers compare exponent, -0x7f { break-if-!= print-string screen, "0." exponent <- increment break $print-float:leading-digit } # normal numbers print-string screen, "1." } var mantissa/ebx: int <- copy bits mantissa <- and 0x7fffff mantissa <- shift-left 1 # pad to whole nibbles print-int32-hex-bits screen, mantissa, 0x18 # print exponent print-string screen, "P" compare exponent, 0 { break-if->= print-string screen, "-" } var exp-magnitude/eax: int <- abs exponent print-int32-hex-bits screen, exp-magnitude, 8 } #? fn main -> _/ebx: int { #? run-tests #? #? test-print-float-negative-zero #? #? print-int32-hex 0, 0 #? #? test-print-float-normal #? return 0 #? } ######## In decimal # Try to keep it short. fn test-print-float-decimal-approximate-normal { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var half/xmm0: float <- rational 1, 2 print-float-decimal-approximate screen, half check-screen-row screen, 1, "0.5 ", "F - test-print-float-decimal-approximate-normal" } fn test-print-float-decimal-approximate-normal-2 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var quarter/xmm0: float <- rational 1, 4 print-float-decimal-approximate screen, quarter check-screen-row screen, 1, "0.25 ", "F - test-print-float-decimal-approximate-normal-2" } fn test-print-float-decimal-approximate-normal-3 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var three-quarters/xmm0: float <- rational 3, 4 print-float-decimal-approximate screen, three-quarters check-screen-row screen, 1, "0.75 ", "F - test-print-float-decimal-approximate-normal-3" } # 3 decimal places = ok fn test-print-float-decimal-approximate-normal-4 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var eighth/xmm0: float <- rational 1, 8 print-float-decimal-approximate screen, eighth check-screen-row screen, 1, "0.125 ", "F - test-print-float-decimal-approximate-normal-4" } # Start truncating past 3 decimal places. fn test-print-float-decimal-approximate-normal-5 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var sixteenth/xmm0: float <- rational 1, 0x10 print-float-decimal-approximate screen, sixteenth check-screen-row screen, 1, "0.062 ", "F - test-print-float-decimal-approximate-normal-5" } # print whole integers without decimals fn test-print-float-decimal-approximate-integer { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var one-f/xmm0: float <- rational 1, 1 print-float-decimal-approximate screen, one-f check-screen-row screen, 1, "1 ", "F - test-print-float-decimal-approximate-integer" } fn test-print-float-decimal-approximate-integer-2 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var two-f/xmm0: float <- rational 2, 1 print-float-decimal-approximate screen, two-f check-screen-row screen, 1, "2 ", "F - test-print-float-decimal-approximate-integer-2" } fn test-print-float-decimal-approximate-integer-3 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var ten/eax: int <- copy 0xa var ten-f/xmm0: float <- rational 0xa, 1 print-float-decimal-approximate screen, ten-f check-screen-row screen, 1, "10 ", "F - test-print-float-decimal-approximate-integer-3" } fn test-print-float-decimal-approximate-integer-4 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var minus-ten-f/xmm0: float <- rational -0xa, 1 print-float-decimal-approximate screen, minus-ten-f check-screen-row screen, 1, "-10 ", "F - test-print-float-decimal-approximate-integer-4" } fn test-print-float-decimal-approximate-integer-5 { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var hundred-thousand/eax: int <- copy 0x186a0 var hundred-thousand-f/xmm0: float <- convert hundred-thousand print-float-decimal-approximate screen, hundred-thousand-f check-screen-row screen, 1, "100000 ", "F - test-print-float-decimal-approximate-integer-5" } fn test-print-float-decimal-approximate-zero { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var zero: float print-float-decimal-approximate screen, zero check-screen-row screen, 1, "0 ", "F - test-print-float-decimal-approximate-zero" } fn test-print-float-decimal-approximate-negative-zero { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int copy-to n, 0x80000000 var negative-zero/xmm0: float <- reinterpret n print-float-decimal-approximate screen, negative-zero check-screen-row screen, 1, "-0 ", "F - test-print-float-decimal-approximate-negative-zero" } fn test-print-float-decimal-approximate-infinity { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int # 0|11111111|00000000000000000000000 # 0111|1111|1000|0000|0000|0000|0000|0000 copy-to n, 0x7f800000 var infinity/xmm0: float <- reinterpret n print-float-decimal-approximate screen, infinity check-screen-row screen, 1, "Inf ", "F - test-print-float-decimal-approximate-infinity" } fn test-print-float-decimal-approximate-negative-infinity { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int copy-to n, 0xff800000 var negative-infinity/xmm0: float <- reinterpret n print-float-decimal-approximate screen, negative-infinity check-screen-row screen, 1, "-Inf ", "F - test-print-float-decimal-approximate-negative-infinity" } fn test-print-float-decimal-approximate-not-a-number { var screen-on-stack: screen var screen/esi: (addr screen) <- address screen-on-stack initialize-screen screen, 5, 0x20 # 32 columns should be more than enough var n: int copy-to n, 0xffffffff # exponent must be all 1's, and mantissa must be non-zero var negative-infinity/xmm0: float <- reinterpret n print-float-decimal-approximate screen, negative-infinity check-screen-row screen, 1, "NaN ", "F - test-print-float-decimal-approximate-not-a-number" } fn print-float-decimal-approximate screen: (addr screen), n: float { # - special names var bits/eax: int <- reinterpret n compare bits, 0 { break-if-!= print-string screen, "0" return } compare bits, 0x80000000 { break-if-!= print-string screen, "-0" return } compare bits, 0x7f800000 { break-if-!= print-string screen, "Inf" return } compare bits, 0xff800000 { break-if-!= print-string screen, "-Inf" return } var exponent/ecx: int <- copy bits exponent <- shift-right 0x17 # 23 bits of mantissa exponent <- and 0xff #? print-string 0, "exponent0: " #? print-int32-hex 0, exponent #? print-string 0, "\n" exponent <- subtract 0x7f compare exponent, 0x80 { break-if-!= print-string screen, "NaN" return } # - regular numbers var sign/edx: int <- copy bits sign <- shift-right 0x1f { compare sign, 1 break-if-!= print-string screen, "-" } var mantissa/ebx: int <- copy bits mantissa <- and 0x7fffff #? print-string 0, "mantissa0: " #? print-int32-hex 0, mantissa #? print-string 0, "\n" # whole integers compare exponent, 0 { break-if-< #? print-string 0, "mantissa: " #? print-int32-hex 0, mantissa #? print-string 0, "\n" #? print-string 0, "exponent: " #? print-int32-hex 0, exponent #? print-string 0, "\n" var tmp/eax: int <- copy mantissa tmp <- shift-left 9 # move to MSB tmp <- repeated-shift-left tmp, exponent compare tmp, 0 break-if-!= var result/eax: int <- copy mantissa result <- or 0x00800000 # insert implicit 1 #? print-string 0, "mantissa2: " #? print-int32-hex 0, result #? print-string 0, "\n" var all-but-exponent/edx: int <- copy 0x17 # 23 bits for mantissa treated as a whole number all-but-exponent <- subtract exponent result <- repeated-shift-right result, all-but-exponent #? print-string 0, "result: " #? print-int32-hex 0, result #? print-string 0, "\n" print-int32-decimal screen, result return } $print-float-decimal-approximate:leading-digit: { # check for subnormal numbers compare exponent, -0x7f { break-if-!= print-string screen, "0" exponent <- increment break $print-float-decimal-approximate:leading-digit } # normal numbers print-string screen, "1" } var mantissa/ebx: int <- copy bits mantissa <- and 0x7fffff compare mantissa, 0 { break-if-= print-string screen, "." # TODO mantissa <- shift-left 1 # whole number of nibbles print-int32-hex-bits screen, mantissa, 0x18 } # print exponent if necessary compare exponent, 0 break-if-= print-string screen, "P" print-int32-decimal screen, exponent } #? fn main -> _/ebx: int { #? #? run-tests #? test-print-float-decimal-approximate-integer-5 #? return 0 #? }