Merge "math.mk supports larger number comparison" into main

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__MATH_NUMBERS := 0 $(__MATH_POS_NUMBERS)

__MATH_ONE_NUMBERS := 0 1 2 3 4 5 6 7 8 9

math-error = $(call pretty-error,$(1))

math-expect :=

#  make -f ${ANDROID_BUILD_TOP}/build/make/common/math.mk RUN_MATH_TESTS=true

#  $(get_build_var CKATI) -f ${ANDROID_BUILD_TOP}//build/make/common/math.mk RUN_MATH_TESTS=true

ifdef RUN_MATH_TESTS

  ifndef empty

    empty :=

    space := $(empty) $(empty)

  endif

  MATH_TEST_FAILURE :=

  MATH_TEST_ERROR :=

  math-error = $(if $(MATH_TEST_ERROR),,$(eval MATH_TEST_ERROR:=$(1)))

endif

# Returns true if $(1) is a non-negative integer <= 100, otherwise returns nothing.

define math_is_number

define math_is_number_in_100

$(strip \

  $(if $(1),,$(call math-error,Argument missing)) \

  $(if $(word 2,$(1)),$(call math-error,Multiple words in a single argument: $(1))) \

  $(if $(filter $(1),$(__MATH_NUMBERS)),true))

endef

# Same with math_is_number_in_100, but no limit.

define _math_ext_is_number

$(strip \

  $(if $(1),,$(call math-error,Argument missing)) \

  $(if $(word 2,$(1)),$(call math-error,Multiple words in a single argument: $(1))) \

  $(eval should_empty:=$(1)) \

  $(foreach num,$(__MATH_ONE_NUMBERS),\

    $(eval should_empty:=$(subst $(num),$(empty),$(should_empty)))) \

  $(if $(should_empty),,true))

endef

# Returns true if $(1) is a non-negative integer.

define math_is_number

$(strip $(if $(call math_is_number_in_100,$(1)),true,$(call _math_ext_is_number,$(1))))

endef

define math_is_zero

$(strip \

  $(if $(word 2,$(1)),$(call math-error,Multiple words in a single argument: $(1))) \

$(call math-expect-true,(call math_is_number,0))

$(call math-expect-true,(call math_is_number,2))

$(call math-expect-true,(call math_is_number,202412))

$(call math-expect-false,(call math_is_number,foo))

$(call math-expect-false,(call math_is_number,-1))

$(call math-expect-error,(call math_is_number,1 2),Multiple words in a single argument: 1 2)

$(call math-expect-error,(call math_is_zero,no 2),Multiple words in a single argument: no 2)

define _math_check_valid

$(if $(call math_is_number,$(1)),,$(call math-error,Only non-negative integers <= 100 are supported (not $(1))))

$(if $(call math_is_number_in_100,$(1)),,$(call math-error,Only non-negative integers <= 100 are supported (not $(1))))

endef

$(call math-expect,(call _math_check_valid,0))

$(call math-expect,(call int_range_list,2,1),)

$(call math-expect-error,(call int_range_list,1,101),Only non-negative integers <= 100 are supported (not 101))

# Split an integer into a list of digits

define _math_number_to_list

$(strip \

  $(if $(call _math_ext_is_number,$(1)),,\

    $(call math-error,Only non-negative integers are supported (not $(1)))) \

  $(eval num_list:=$(1)) \

  $(foreach num,$(__MATH_ONE_NUMBERS),\

    $(eval num_list:=$(subst $(num),$(space)$(num),$(num_list)))) \

  $(if $(filter $(words $(num_list)),$(__MATH_ONE_NUMBERS)),,\

    $(call math-error,Only non-negative integers with less than 9 digits are supported (not $(1)))) \

  $(if $(filter 0,$(word 1,$(num_list))),\

    $(call math-error,Only non-negative integers without leading zeros are supported (not $(1)))) \

  $(num_list))

endef

$(call math-expect,(call _math_number_to_list,123),1 2 3)

$(call math-expect-error,(call _math_number_to_list,123 456),Multiple words in a single argument: 123 456)

$(call math-expect-error,(call _math_number_to_list,-123),Only non-negative integers are supported (not -123))

$(call math-expect-error,(call _math_number_to_list,002),Only non-negative integers without leading zeros are supported (not 002))

$(call math-expect-error,(call _math_number_to_list,1234567890),Only non-negative integers with less than 9 digits are supported (not 1234567890))

# Compare 1-digit integer $(1) and $(2).

# Returns 1 if $(1) > $(2), -1 if $(1) < $(2), nothing if equals.

define _math_1digit_comp

$(strip \

  $(if $(filter $(1),$(2)),,\

    $(if $(filter $(1),$(firstword $(filter $(1) $(2),$(__MATH_ONE_NUMBERS)))),-1,1)))

endef

$(call math-expect,(call _math_1digit_comp,1,1))

$(call math-expect,(call _math_1digit_comp,0,9),-1)

$(call math-expect,(call _math_1digit_comp,3,1),1)

# Compare the same $(3)-digit-length integers $(1) and $(2) that are split into a list of digits.

# Returns 1 if $(1) > $(2), -1 if $(1) < $(2), nothing if equals.

define _math_list_comp

$(strip \

  $(eval ans:=) \

  $(foreach num,$(call int_range_list,1,$(3)),\

    $(if $(ans),,$(eval ans:=$(call _math_1digit_comp,$(word $(num),$(1)),$(word $(num),$(2)))))) \

  $(ans))

endef

# Compare any two non-negative integers $(1) and $(2).

# Returns 1 if $(1) > $(2), -1 if $(1) < $(2), nothing if equals.

define _math_ext_comp

$(strip \

  $(eval num_list1:=$(call _math_number_to_list,$(1))) \

  $(eval len1:=$(words $(num_list1))) \

  $(eval num_list2:=$(call _math_number_to_list,$(2))) \

  $(eval len2:=$(words $(num_list2))) \

  $(eval comp:=$(call _math_1digit_comp,$(len1),$(len2))) \

  $(if $(comp),$(comp),$(call _math_list_comp,$(num_list1),$(num_list2),$(len1))))

endef

$(call math-expect,(call _math_ext_comp,5,10),-1)

$(call math-expect,(call _math_ext_comp,12345,12345))

$(call math-expect,(call _math_ext_comp,500,5),1)

$(call math-expect,(call _math_ext_comp,202404,202504),-1)

# Returns the greater of $1 or $2.

# If $1 or $2 is not a positive integer <= 100, then an error is generated.

# If $1 or $2 is not a positive integer, then an error is generated.

define math_max

$(strip $(call _math_check_valid,$(1)) $(call _math_check_valid,$(2)) \

  $(lastword $(filter $(1) $(2),$(__MATH_NUMBERS))))

$(strip \

  $(if $(filter truetrue,$(call math_is_number_in_100,$(1))$(call math_is_number_in_100,$(2))),\

    $(lastword $(filter $(1) $(2),$(__MATH_NUMBERS))),\

    $(if $(filter 1,$(call _math_ext_comp,$(1),$(2))),$(1),$(2))))

endef

# Returns the lesser of $1 or $2.

define math_min

$(strip $(call _math_check_valid,$(1)) $(call _math_check_valid,$(2)) \

  $(firstword $(filter $(1) $(2),$(__MATH_NUMBERS))))

$(strip \

  $(if $(filter truetrue,$(call math_is_number_in_100,$(1))$(call math_is_number_in_100,$(2))),\

    $(firstword $(filter $(1) $(2),$(__MATH_NUMBERS))),\

    $(if $(filter -1,$(call _math_ext_comp,$(1),$(2))),$(1),$(2))))

endef

$(call math-expect-error,(call math_max),Argument missing)

$(call math-expect,(call math_min,7,32),7)

$(call math-expect,(call math_min,32,7),7)

$(call math-expect,(call math_max,32759,7),32759)

$(call math-expect,(call math_max,7,32759),32759)

$(call math-expect,(call math_max,202404,202505),202505)

$(call math-expect,(call math_max,202404,202404),202404)

$(call math-expect,(call math_min,8908527,32),32)

$(call math-expect,(call math_min,32,8908527),32)

$(call math-expect,(call math_min,202404,202505),202404)

$(call math-expect,(call math_min,202404,202404),202404)

define math_gt_or_eq

$(if $(filter $(1),$(call math_max,$(1),$(2))),true)

endef

$(if $(call math_gt_or_eq,$(2),$(1)),,true)

endef

define math_lt_or_eq

$(if $(call math_gt_or_eq,$(2),$(1)),true)

endef

define math_lt

$(if $(call math_gt_or_eq,$(1),$(2)),,true)

endef

$(call math-expect-true,(call math_gt, 4, 3))

$(call math-expect-false,(call math_gt, 5, 5))

$(call math-expect-false,(call math_gt, 6, 7))

$(call math-expect-true,(call math_lt_or_eq, 11, 11))

$(call math-expect-false,(call math_lt_or_eq, 25, 15))

$(call math-expect-true,(call math_lt_or_eq, 9, 16))

$(call math-expect-false,(call math_lt, 1, 0))

$(call math-expect-false,(call math_lt, 8, 8))

$(call math-expect-true,(call math_lt, 10, 11))

$(call math-expect-true,(call math_gt_or_eq, 2573904, 2573900))

$(call math-expect-true,(call math_gt_or_eq, 12345, 12345))

$(call math-expect-false,(call math_gt_or_eq, 56, 2780))

# $1 is the variable name to increment

define inc_and_print

$(strip $(eval $(1) := $($(1)) .)$(words $($(1))))

$(call math-expect,(call numbers_less_than,3,0 2 1 3),0 2 1)

$(call math-expect,(call numbers_less_than,4,0 2 1 3),0 2 1 3)

$(call math-expect,(call numbers_less_than,3,0 2 1 3 2),0 2 1 2)

$(call math-expect,(call numbers_less_than,100,0 1000 50 101 100),0 50)

# Returns the words in $2 that are numbers and are greater or equal to $1

define numbers_greater_or_equal_to